Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(25,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.i (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: | \(0.910294583043\) |
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 | 43.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.43 |
Dual form | 114.2.i.a.61.1 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | − | 0.342020i | 0.664463 | − | 0.241845i | ||||
\(3\) | 0.173648 | − | 0.984808i | 0.100256 | − | 0.568579i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | −0.907604 | − | 0.761570i | −0.405893 | − | 0.340584i | 0.416873 | − | 0.908965i | \(-0.363126\pi\) |
−0.822766 | + | 0.568380i | \(0.807570\pi\) | |||||||
\(6\) | −0.173648 | − | 0.984808i | −0.0708916 | − | 0.402046i | ||||
\(7\) | 0.733956 | + | 1.27125i | 0.277409 | + | 0.480487i | 0.970740 | − | 0.240133i | \(-0.0771909\pi\) |
−0.693331 | + | 0.720619i | \(0.743858\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.939693 | − | 0.342020i | −0.313231 | − | 0.114007i | ||||
\(10\) | −1.11334 | − | 0.405223i | −0.352069 | − | 0.128143i | ||||
\(11\) | −0.592396 | + | 1.02606i | −0.178614 | + | 0.309369i | −0.941406 | − | 0.337275i | \(-0.890495\pi\) |
0.762792 | + | 0.646644i | \(0.223828\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | 0.446967 | + | 2.53487i | 0.123966 | + | 0.703047i | 0.981916 | + | 0.189315i | \(0.0606266\pi\) |
−0.857950 | + | 0.513733i | \(0.828262\pi\) | |||||||
\(14\) | 1.12449 | + | 0.943555i | 0.300531 | + | 0.252176i | ||||
\(15\) | −0.907604 | + | 0.761570i | −0.234342 | + | 0.196637i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −2.09240 | + | 0.761570i | −0.507481 | + | 0.184708i | −0.583056 | − | 0.812432i | \(-0.698143\pi\) |
0.0755749 | + | 0.997140i | \(0.475921\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 0.819078 | + | 4.28125i | 0.187909 | + | 0.982186i | ||||
\(20\) | −1.18479 | −0.264928 | ||||||||
\(21\) | 1.37939 | − | 0.502055i | 0.301007 | − | 0.109557i | ||||
\(22\) | −0.205737 | + | 1.16679i | −0.0438633 | + | 0.248761i | ||||
\(23\) | 0.907604 | − | 0.761570i | 0.189248 | − | 0.158798i | −0.543241 | − | 0.839577i | \(-0.682803\pi\) |
0.732489 | + | 0.680779i | \(0.238358\pi\) | |||||||
\(24\) | −0.766044 | − | 0.642788i | −0.156368 | − | 0.131208i | ||||
\(25\) | −0.624485 | − | 3.54163i | −0.124897 | − | 0.708326i | ||||
\(26\) | 1.28699 | + | 2.22913i | 0.252399 | + | 0.437168i | ||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 1.37939 | + | 0.502055i | 0.260679 | + | 0.0948795i | ||||
\(29\) | −8.84389 | − | 3.21891i | −1.64227 | − | 0.597737i | −0.654836 | − | 0.755771i | \(-0.727262\pi\) |
−0.987434 | + | 0.158034i | \(0.949485\pi\) | |||||||
\(30\) | −0.592396 | + | 1.02606i | −0.108156 | + | 0.187332i | ||||
\(31\) | 3.96451 | + | 6.86673i | 0.712047 | + | 1.23330i | 0.964088 | + | 0.265584i | \(0.0855649\pi\) |
−0.252041 | + | 0.967717i | \(0.581102\pi\) | |||||||
\(32\) | −0.173648 | − | 0.984808i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 0.907604 | + | 0.761570i | 0.157994 | + | 0.132572i | ||||
\(34\) | −1.70574 | + | 1.43128i | −0.292531 | + | 0.245463i | ||||
\(35\) | 0.302004 | − | 1.71275i | 0.0510479 | − | 0.289507i | ||||
\(36\) | −0.939693 | + | 0.342020i | −0.156615 | + | 0.0570034i | ||||
\(37\) | −0.0641778 | −0.0105508 | −0.00527538 | − | 0.999986i | \(-0.501679\pi\) | ||||
−0.00527538 | + | 0.999986i | \(0.501679\pi\) | |||||||
\(38\) | 2.23396 | + | 3.74292i | 0.362395 | + | 0.607182i | ||||
\(39\) | 2.57398 | 0.412166 | ||||||||
\(40\) | −1.11334 | + | 0.405223i | −0.176035 | + | 0.0640714i | ||||
\(41\) | 1.68092 | − | 9.53298i | 0.262516 | − | 1.48880i | −0.513501 | − | 0.858089i | \(-0.671652\pi\) |
0.776017 | − | 0.630713i | \(-0.217237\pi\) | |||||||
\(42\) | 1.12449 | − | 0.943555i | 0.173512 | − | 0.145594i | ||||
\(43\) | −5.55303 | − | 4.65955i | −0.846830 | − | 0.710574i | 0.112259 | − | 0.993679i | \(-0.464191\pi\) |
−0.959089 | + | 0.283104i | \(0.908636\pi\) | |||||||
\(44\) | 0.205737 | + | 1.16679i | 0.0310160 | + | 0.175901i | ||||
\(45\) | 0.592396 | + | 1.02606i | 0.0883092 | + | 0.152956i | ||||
\(46\) | 0.592396 | − | 1.02606i | 0.0873441 | − | 0.151284i | ||||
\(47\) | 4.57145 | + | 1.66387i | 0.666815 | + | 0.242701i | 0.653176 | − | 0.757206i | \(-0.273436\pi\) |
0.0136389 | + | 0.999907i | \(0.495658\pi\) | |||||||
\(48\) | −0.939693 | − | 0.342020i | −0.135633 | − | 0.0493664i | ||||
\(49\) | 2.42262 | − | 4.19610i | 0.346088 | − | 0.599443i | ||||
\(50\) | −1.79813 | − | 3.11446i | −0.254294 | − | 0.440451i | ||||
\(51\) | 0.386659 | + | 2.19285i | 0.0541431 | + | 0.307061i | ||||
\(52\) | 1.97178 | + | 1.65452i | 0.273437 | + | 0.229441i | ||||
\(53\) | −1.11334 | + | 0.934204i | −0.152929 | + | 0.128323i | −0.716042 | − | 0.698057i | \(-0.754048\pi\) |
0.563113 | + | 0.826380i | \(0.309604\pi\) | |||||||
\(54\) | −0.173648 | + | 0.984808i | −0.0236305 | + | 0.134015i | ||||
\(55\) | 1.31908 | − | 0.480105i | 0.177864 | − | 0.0647374i | ||||
\(56\) | 1.46791 | 0.196158 | ||||||||
\(57\) | 4.35844 | − | 0.0632028i | 0.577290 | − | 0.00837141i | ||||
\(58\) | −9.41147 | −1.23579 | ||||||||
\(59\) | −1.31908 | + | 0.480105i | −0.171729 | + | 0.0625044i | −0.426454 | − | 0.904509i | \(-0.640237\pi\) |
0.254725 | + | 0.967014i | \(0.418015\pi\) | |||||||
\(60\) | −0.205737 | + | 1.16679i | −0.0265605 | + | 0.150632i | ||||
\(61\) | 5.97565 | − | 5.01417i | 0.765104 | − | 0.641998i | −0.174346 | − | 0.984684i | \(-0.555781\pi\) |
0.939450 | + | 0.342686i | \(0.111337\pi\) | |||||||
\(62\) | 6.07398 | + | 5.09667i | 0.771396 | + | 0.647278i | ||||
\(63\) | −0.254900 | − | 1.44561i | −0.0321144 | − | 0.182130i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 1.52481 | − | 2.64106i | 0.189130 | − | 0.327583i | ||||
\(66\) | 1.11334 | + | 0.405223i | 0.137043 | + | 0.0498795i | ||||
\(67\) | −8.19119 | − | 2.98135i | −1.00071 | − | 0.364230i | −0.210854 | − | 0.977518i | \(-0.567624\pi\) |
−0.789859 | + | 0.613288i | \(0.789847\pi\) | |||||||
\(68\) | −1.11334 | + | 1.92836i | −0.135012 | + | 0.233848i | ||||
\(69\) | −0.592396 | − | 1.02606i | −0.0713161 | − | 0.123523i | ||||
\(70\) | −0.302004 | − | 1.71275i | −0.0360963 | − | 0.204713i | ||||
\(71\) | 11.2135 | + | 9.40923i | 1.33079 | + | 1.11667i | 0.983891 | + | 0.178769i | \(0.0572114\pi\) |
0.346904 | + | 0.937901i | \(0.387233\pi\) | |||||||
\(72\) | −0.766044 | + | 0.642788i | −0.0902792 | + | 0.0757532i | ||||
\(73\) | 1.13563 | − | 6.44047i | 0.132915 | − | 0.753801i | −0.843373 | − | 0.537328i | \(-0.819434\pi\) |
0.976289 | − | 0.216473i | \(-0.0694552\pi\) | |||||||
\(74\) | −0.0603074 | + | 0.0219501i | −0.00701059 | + | 0.00255165i | ||||
\(75\) | −3.59627 | −0.415261 | ||||||||
\(76\) | 3.37939 | + | 2.75314i | 0.387642 | + | 0.315806i | ||||
\(77\) | −1.73917 | −0.198197 | ||||||||
\(78\) | 2.41875 | − | 0.880352i | 0.273869 | − | 0.0996803i | ||||
\(79\) | 2.24035 | − | 12.7057i | 0.252059 | − | 1.42950i | −0.551450 | − | 0.834208i | \(-0.685925\pi\) |
0.803510 | − | 0.595292i | \(-0.202963\pi\) | |||||||
\(80\) | −0.907604 | + | 0.761570i | −0.101473 | + | 0.0851461i | ||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | −1.68092 | − | 9.53298i | −0.185627 | − | 1.05274i | ||||
\(83\) | −1.94949 | − | 3.37662i | −0.213985 | − | 0.370632i | 0.738973 | − | 0.673735i | \(-0.235311\pi\) |
−0.952958 | + | 0.303102i | \(0.901978\pi\) | |||||||
\(84\) | 0.733956 | − | 1.27125i | 0.0800811 | − | 0.138705i | ||||
\(85\) | 2.47906 | + | 0.902302i | 0.268891 | + | 0.0978684i | ||||
\(86\) | −6.81180 | − | 2.47929i | −0.734536 | − | 0.267349i | ||||
\(87\) | −4.70574 | + | 8.15058i | −0.504508 | + | 0.873833i | ||||
\(88\) | 0.592396 | + | 1.02606i | 0.0631497 | + | 0.109378i | ||||
\(89\) | 2.15523 | + | 12.2229i | 0.228454 | + | 1.29563i | 0.855971 | + | 0.517024i | \(0.172960\pi\) |
−0.627517 | + | 0.778603i | \(0.715929\pi\) | |||||||
\(90\) | 0.907604 | + | 0.761570i | 0.0956698 | + | 0.0802765i | ||||
\(91\) | −2.89440 | + | 2.42869i | −0.303416 | + | 0.254596i | ||||
\(92\) | 0.205737 | − | 1.16679i | 0.0214496 | − | 0.121647i | ||||
\(93\) | 7.45084 | − | 2.71188i | 0.772616 | − | 0.281209i | ||||
\(94\) | 4.86484 | 0.501770 | ||||||||
\(95\) | 2.51707 | − | 4.50946i | 0.258246 | − | 0.462661i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −12.1356 | + | 4.41701i | −1.23219 | + | 0.448479i | −0.874346 | − | 0.485303i | \(-0.838709\pi\) |
−0.357841 | + | 0.933783i | \(0.616487\pi\) | |||||||
\(98\) | 0.841367 | − | 4.77163i | 0.0849909 | − | 0.482007i | ||||
\(99\) | 0.907604 | − | 0.761570i | 0.0912176 | − | 0.0765407i | ||||
\(100\) | −2.75490 | − | 2.31164i | −0.275490 | − | 0.231164i | ||||
\(101\) | 2.38578 | + | 13.5304i | 0.237394 | + | 1.34633i | 0.837513 | + | 0.546418i | \(0.184009\pi\) |
−0.600118 | + | 0.799911i | \(0.704880\pi\) | |||||||
\(102\) | 1.11334 | + | 1.92836i | 0.110237 | + | 0.190936i | ||||
\(103\) | −8.56805 | + | 14.8403i | −0.844235 | + | 1.46226i | 0.0420491 | + | 0.999116i | \(0.486611\pi\) |
−0.886284 | + | 0.463142i | \(0.846722\pi\) | |||||||
\(104\) | 2.41875 | + | 0.880352i | 0.237178 | + | 0.0863256i | ||||
\(105\) | −1.63429 | − | 0.594831i | −0.159490 | − | 0.0580496i | ||||
\(106\) | −0.726682 | + | 1.25865i | −0.0705816 | + | 0.122251i | ||||
\(107\) | 5.25150 | + | 9.09586i | 0.507681 | + | 0.879330i | 0.999960 | + | 0.00889246i | \(0.00283060\pi\) |
−0.492279 | + | 0.870437i | \(0.663836\pi\) | |||||||
\(108\) | 0.173648 | + | 0.984808i | 0.0167093 | + | 0.0947632i | ||||
\(109\) | −6.16044 | − | 5.16923i | −0.590064 | − | 0.495122i | 0.298171 | − | 0.954512i | \(-0.403623\pi\) |
−0.888234 | + | 0.459390i | \(0.848068\pi\) | |||||||
\(110\) | 1.07532 | − | 0.902302i | 0.102528 | − | 0.0860312i | ||||
\(111\) | −0.0111444 | + | 0.0632028i | −0.00105778 | + | 0.00599894i | ||||
\(112\) | 1.37939 | − | 0.502055i | 0.130340 | − | 0.0474398i | ||||
\(113\) | −19.1411 | −1.80065 | −0.900324 | − | 0.435220i | \(-0.856670\pi\) | ||||
−0.900324 | + | 0.435220i | \(0.856670\pi\) | |||||||
\(114\) | 4.07398 | − | 1.55007i | 0.381563 | − | 0.145177i | ||||
\(115\) | −1.40373 | −0.130899 | ||||||||
\(116\) | −8.84389 | + | 3.21891i | −0.821135 | + | 0.298869i | ||||
\(117\) | 0.446967 | − | 2.53487i | 0.0413221 | − | 0.234349i | ||||
\(118\) | −1.07532 | + | 0.902302i | −0.0989914 | + | 0.0830637i | ||||
\(119\) | −2.50387 | − | 2.10100i | −0.229529 | − | 0.192598i | ||||
\(120\) | 0.205737 | + | 1.16679i | 0.0187811 | + | 0.106513i | ||||
\(121\) | 4.79813 | + | 8.31061i | 0.436194 | + | 0.755510i | ||||
\(122\) | 3.90033 | − | 6.75557i | 0.353119 | − | 0.611621i | ||||
\(123\) | −9.09627 | − | 3.31077i | −0.820183 | − | 0.298522i | ||||
\(124\) | 7.45084 | + | 2.71188i | 0.669105 | + | 0.243534i | ||||
\(125\) | −5.09240 | + | 8.82029i | −0.455478 | + | 0.788911i | ||||
\(126\) | −0.733956 | − | 1.27125i | −0.0653860 | − | 0.113252i | ||||
\(127\) | 1.26352 | + | 7.16577i | 0.112119 | + | 0.635859i | 0.988136 | + | 0.153579i | \(0.0490800\pi\) |
−0.876017 | + | 0.482280i | \(0.839809\pi\) | |||||||
\(128\) | −0.766044 | − | 0.642788i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | −5.55303 | + | 4.65955i | −0.488917 | + | 0.410250i | ||||
\(130\) | 0.529563 | − | 3.00330i | 0.0464457 | − | 0.263407i | ||||
\(131\) | 6.48293 | − | 2.35959i | 0.566416 | − | 0.206159i | −0.0429093 | − | 0.999079i | \(-0.513663\pi\) |
0.609325 | + | 0.792920i | \(0.291440\pi\) | |||||||
\(132\) | 1.18479 | 0.103123 | ||||||||
\(133\) | −4.84137 | + | 4.18350i | −0.419800 | + | 0.362755i | ||||
\(134\) | −8.71688 | −0.753024 | ||||||||
\(135\) | 1.11334 | − | 0.405223i | 0.0958211 | − | 0.0348760i | ||||
\(136\) | −0.386659 | + | 2.19285i | −0.0331558 | + | 0.188036i | ||||
\(137\) | 12.1211 | − | 10.1708i | 1.03557 | − | 0.868950i | 0.0440702 | − | 0.999028i | \(-0.485967\pi\) |
0.991504 | + | 0.130079i | \(0.0415230\pi\) | |||||||
\(138\) | −0.907604 | − | 0.761570i | −0.0772604 | − | 0.0648291i | ||||
\(139\) | −2.68732 | − | 15.2405i | −0.227935 | − | 1.29269i | −0.856993 | − | 0.515327i | \(-0.827670\pi\) |
0.629058 | − | 0.777358i | \(-0.283441\pi\) | |||||||
\(140\) | −0.869585 | − | 1.50617i | −0.0734934 | − | 0.127294i | ||||
\(141\) | 2.43242 | − | 4.21307i | 0.204847 | − | 0.354805i | ||||
\(142\) | 13.7554 | + | 5.00654i | 1.15432 | + | 0.420140i | ||||
\(143\) | −2.86571 | − | 1.04303i | −0.239643 | − | 0.0872230i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 5.57532 | + | 9.65674i | 0.463005 | + | 0.801949i | ||||
\(146\) | −1.13563 | − | 6.44047i | −0.0939854 | − | 0.533018i | ||||
\(147\) | −3.71167 | − | 3.11446i | −0.306133 | − | 0.256876i | ||||
\(148\) | −0.0491630 | + | 0.0412527i | −0.00404118 | + | 0.00339095i | ||||
\(149\) | 0.386659 | − | 2.19285i | 0.0316764 | − | 0.179646i | −0.964865 | − | 0.262747i | \(-0.915371\pi\) |
0.996541 | + | 0.0831016i | \(0.0264826\pi\) | |||||||
\(150\) | −3.37939 | + | 1.23000i | −0.275926 | + | 0.100429i | ||||
\(151\) | 6.59627 | 0.536797 | 0.268398 | − | 0.963308i | \(-0.413506\pi\) | ||||
0.268398 | + | 0.963308i | \(0.413506\pi\) | |||||||
\(152\) | 4.11721 | + | 1.43128i | 0.333950 | + | 0.116092i | ||||
\(153\) | 2.22668 | 0.180017 | ||||||||
\(154\) | −1.63429 | + | 0.594831i | −0.131694 | + | 0.0479329i | ||||
\(155\) | 1.63129 | − | 9.25152i | 0.131029 | − | 0.743100i | ||||
\(156\) | 1.97178 | − | 1.65452i | 0.157869 | − | 0.132468i | ||||
\(157\) | 7.08899 | + | 5.94837i | 0.565763 | + | 0.474732i | 0.880237 | − | 0.474534i | \(-0.157384\pi\) |
−0.314474 | + | 0.949266i | \(0.601828\pi\) | |||||||
\(158\) | −2.24035 | − | 12.7057i | −0.178233 | − | 1.01081i | ||||
\(159\) | 0.726682 | + | 1.25865i | 0.0576296 | + | 0.0998174i | ||||
\(160\) | −0.592396 | + | 1.02606i | −0.0468330 | + | 0.0811172i | ||||
\(161\) | 1.63429 | + | 0.594831i | 0.128800 | + | 0.0468793i | ||||
\(162\) | 0.939693 | + | 0.342020i | 0.0738292 | + | 0.0268716i | ||||
\(163\) | 1.57011 | − | 2.71951i | 0.122980 | − | 0.213008i | −0.797961 | − | 0.602709i | \(-0.794088\pi\) |
0.920942 | + | 0.389700i | \(0.127421\pi\) | |||||||
\(164\) | −4.84002 | − | 8.38316i | −0.377942 | − | 0.654615i | ||||
\(165\) | −0.243756 | − | 1.38241i | −0.0189764 | − | 0.107620i | ||||
\(166\) | −2.98680 | − | 2.50622i | −0.231820 | − | 0.194520i | ||||
\(167\) | 12.1591 | − | 10.2027i | 0.940899 | − | 0.789508i | −0.0368422 | − | 0.999321i | \(-0.511730\pi\) |
0.977742 | + | 0.209813i | \(0.0672854\pi\) | |||||||
\(168\) | 0.254900 | − | 1.44561i | 0.0196660 | − | 0.111531i | ||||
\(169\) | 5.99020 | − | 2.18025i | 0.460785 | − | 0.167712i | ||||
\(170\) | 2.63816 | 0.202337 | ||||||||
\(171\) | 0.694593 | − | 4.30320i | 0.0531168 | − | 0.329074i | ||||
\(172\) | −7.24897 | −0.552729 | ||||||||
\(173\) | −3.25237 | + | 1.18377i | −0.247273 | + | 0.0900002i | −0.462684 | − | 0.886524i | \(-0.653113\pi\) |
0.215410 | + | 0.976524i | \(0.430891\pi\) | |||||||
\(174\) | −1.63429 | + | 9.26849i | −0.123895 | + | 0.702643i | ||||
\(175\) | 4.04395 | − | 3.39328i | 0.305694 | − | 0.256508i | ||||
\(176\) | 0.907604 | + | 0.761570i | 0.0684132 | + | 0.0574055i | ||||
\(177\) | 0.243756 | + | 1.38241i | 0.0183218 | + | 0.103908i | ||||
\(178\) | 6.20574 | + | 10.7487i | 0.465140 | + | 0.805646i | ||||
\(179\) | 0.315207 | − | 0.545955i | 0.0235597 | − | 0.0408066i | −0.854005 | − | 0.520265i | \(-0.825833\pi\) |
0.877565 | + | 0.479458i | \(0.159167\pi\) | |||||||
\(180\) | 1.11334 | + | 0.405223i | 0.0829835 | + | 0.0302035i | ||||
\(181\) | 11.0778 | + | 4.03201i | 0.823410 | + | 0.299697i | 0.719151 | − | 0.694853i | \(-0.244531\pi\) |
0.104259 | + | 0.994550i | \(0.466753\pi\) | |||||||
\(182\) | −1.88919 | + | 3.27217i | −0.140036 | + | 0.242549i | ||||
\(183\) | −3.90033 | − | 6.75557i | −0.288321 | − | 0.499386i | ||||
\(184\) | −0.205737 | − | 1.16679i | −0.0151671 | − | 0.0860171i | ||||
\(185\) | 0.0582480 | + | 0.0488759i | 0.00428248 | + | 0.00359342i | ||||
\(186\) | 6.07398 | − | 5.09667i | 0.445366 | − | 0.373706i | ||||
\(187\) | 0.458111 | − | 2.59808i | 0.0335004 | − | 0.189990i | ||||
\(188\) | 4.57145 | − | 1.66387i | 0.333407 | − | 0.121350i | ||||
\(189\) | −1.46791 | −0.106775 | ||||||||
\(190\) | 0.822948 | − | 5.09840i | 0.0597029 | − | 0.369877i | ||||
\(191\) | 11.4192 | 0.826265 | 0.413133 | − | 0.910671i | \(-0.364435\pi\) | ||||
0.413133 | + | 0.910671i | \(0.364435\pi\) | |||||||
\(192\) | −0.939693 | + | 0.342020i | −0.0678165 | + | 0.0246832i | ||||
\(193\) | 1.64796 | − | 9.34602i | 0.118622 | − | 0.672741i | −0.866270 | − | 0.499576i | \(-0.833489\pi\) |
0.984893 | − | 0.173166i | \(-0.0553996\pi\) | |||||||
\(194\) | −9.89306 | + | 8.30126i | −0.710280 | + | 0.595996i | ||||
\(195\) | −2.33615 | − | 1.96026i | −0.167295 | − | 0.140377i | ||||
\(196\) | −0.841367 | − | 4.77163i | −0.0600976 | − | 0.340830i | ||||
\(197\) | −3.56758 | − | 6.17923i | −0.254180 | − | 0.440252i | 0.710493 | − | 0.703705i | \(-0.248472\pi\) |
−0.964672 | + | 0.263452i | \(0.915139\pi\) | |||||||
\(198\) | 0.592396 | − | 1.02606i | 0.0420998 | − | 0.0729189i | ||||
\(199\) | 16.6814 | + | 6.07153i | 1.18251 | + | 0.430399i | 0.857089 | − | 0.515169i | \(-0.172271\pi\) |
0.325424 | + | 0.945568i | \(0.394493\pi\) | |||||||
\(200\) | −3.37939 | − | 1.23000i | −0.238959 | − | 0.0869738i | ||||
\(201\) | −4.35844 | + | 7.54904i | −0.307421 | + | 0.532468i | ||||
\(202\) | 6.86959 | + | 11.8985i | 0.483342 | + | 0.837173i | ||||
\(203\) | −2.39899 | − | 13.6053i | −0.168376 | − | 0.954907i | ||||
\(204\) | 1.70574 | + | 1.43128i | 0.119425 | + | 0.100210i | ||||
\(205\) | −8.78564 | + | 7.37203i | −0.613616 | + | 0.514885i | ||||
\(206\) | −2.97565 | + | 16.8758i | −0.207323 | + | 1.17579i | ||||
\(207\) | −1.11334 | + | 0.405223i | −0.0773825 | + | 0.0281649i | ||||
\(208\) | 2.57398 | 0.178473 | ||||||||
\(209\) | −4.87804 | − | 1.69577i | −0.337421 | − | 0.117299i | ||||
\(210\) | −1.73917 | −0.120014 | ||||||||
\(211\) | −2.03209 | + | 0.739620i | −0.139895 | + | 0.0509175i | −0.411019 | − | 0.911627i | \(-0.634827\pi\) |
0.271124 | + | 0.962544i | \(0.412605\pi\) | |||||||
\(212\) | −0.252374 | + | 1.43128i | −0.0173331 | + | 0.0983009i | ||||
\(213\) | 11.2135 | − | 9.40923i | 0.768335 | − | 0.644709i | ||||
\(214\) | 8.04576 | + | 6.75119i | 0.549997 | + | 0.461502i | ||||
\(215\) | 1.49138 | + | 8.45805i | 0.101711 | + | 0.576834i | ||||
\(216\) | 0.500000 | + | 0.866025i | 0.0340207 | + | 0.0589256i | ||||
\(217\) | −5.81954 | + | 10.0797i | −0.395056 | + | 0.684258i | ||||
\(218\) | −7.55690 | − | 2.75049i | −0.511818 | − | 0.186287i | ||||
\(219\) | −6.14543 | − | 2.23675i | −0.415270 | − | 0.151146i | ||||
\(220\) | 0.701867 | − | 1.21567i | 0.0473198 | − | 0.0819604i | ||||
\(221\) | −2.86571 | − | 4.96356i | −0.192769 | − | 0.333885i | ||||
\(222\) | 0.0111444 | + | 0.0632028i | 0.000747960 | + | 0.00424189i | ||||
\(223\) | −21.6446 | − | 18.1619i | −1.44943 | − | 1.21621i | −0.932997 | − | 0.359883i | \(-0.882817\pi\) |
−0.516429 | − | 0.856330i | \(-0.672739\pi\) | |||||||
\(224\) | 1.12449 | − | 0.943555i | 0.0751328 | − | 0.0630439i | ||||
\(225\) | −0.624485 | + | 3.54163i | −0.0416323 | + | 0.236109i | ||||
\(226\) | −17.9868 | + | 6.54666i | −1.19646 | + | 0.435477i | ||||
\(227\) | −21.0232 | −1.39536 | −0.697680 | − | 0.716409i | \(-0.745784\pi\) | ||||
−0.697680 | + | 0.716409i | \(0.745784\pi\) | |||||||
\(228\) | 3.29813 | − | 2.84997i | 0.218424 | − | 0.188744i | ||||
\(229\) | 7.96080 | 0.526064 | 0.263032 | − | 0.964787i | \(-0.415277\pi\) | ||||
0.263032 | + | 0.964787i | \(0.415277\pi\) | |||||||
\(230\) | −1.31908 | + | 0.480105i | −0.0869774 | + | 0.0316572i | ||||
\(231\) | −0.302004 | + | 1.71275i | −0.0198704 | + | 0.112691i | ||||
\(232\) | −7.20961 | + | 6.04958i | −0.473334 | + | 0.397174i | ||||
\(233\) | 11.2515 | + | 9.44113i | 0.737110 | + | 0.618509i | 0.932060 | − | 0.362304i | \(-0.118010\pi\) |
−0.194950 | + | 0.980813i | \(0.562454\pi\) | |||||||
\(234\) | −0.446967 | − | 2.53487i | −0.0292191 | − | 0.165710i | ||||
\(235\) | −2.88191 | − | 4.99162i | −0.187995 | − | 0.325617i | ||||
\(236\) | −0.701867 | + | 1.21567i | −0.0456876 | + | 0.0791333i | ||||
\(237\) | −12.1236 | − | 4.41263i | −0.787513 | − | 0.286631i | ||||
\(238\) | −3.07145 | − | 1.11792i | −0.199093 | − | 0.0724638i | ||||
\(239\) | −7.86484 | + | 13.6223i | −0.508734 | + | 0.881153i | 0.491215 | + | 0.871038i | \(0.336553\pi\) |
−0.999949 | + | 0.0101147i | \(0.996780\pi\) | |||||||
\(240\) | 0.592396 | + | 1.02606i | 0.0382390 | + | 0.0662319i | ||||
\(241\) | 1.71079 | + | 9.70237i | 0.110202 | + | 0.624985i | 0.989015 | + | 0.147818i | \(0.0472250\pi\) |
−0.878813 | + | 0.477166i | \(0.841664\pi\) | |||||||
\(242\) | 7.35117 | + | 6.16836i | 0.472551 | + | 0.396517i | ||||
\(243\) | 0.766044 | − | 0.642788i | 0.0491418 | − | 0.0412348i | ||||
\(244\) | 1.35457 | − | 7.68215i | 0.0867175 | − | 0.491799i | ||||
\(245\) | −5.39440 | + | 1.96340i | −0.344636 | + | 0.125437i | ||||
\(246\) | −9.68004 | −0.617177 | ||||||||
\(247\) | −10.4863 | + | 3.98983i | −0.667229 | + | 0.253867i | ||||
\(248\) | 7.92902 | 0.503493 | ||||||||
\(249\) | −3.66385 | + | 1.33353i | −0.232187 | + | 0.0845091i | ||||
\(250\) | −1.76857 | + | 10.0301i | −0.111854 | + | 0.634357i | ||||
\(251\) | 3.54117 | − | 2.97140i | 0.223517 | − | 0.187553i | −0.524152 | − | 0.851625i | \(-0.675618\pi\) |
0.747669 | + | 0.664072i | \(0.231173\pi\) | |||||||
\(252\) | −1.12449 | − | 0.943555i | −0.0708359 | − | 0.0594384i | ||||
\(253\) | 0.243756 | + | 1.38241i | 0.0153248 | + | 0.0869112i | ||||
\(254\) | 3.63816 | + | 6.30147i | 0.228278 | + | 0.395389i | ||||
\(255\) | 1.31908 | − | 2.28471i | 0.0826039 | − | 0.143074i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 2.83527 | + | 1.03196i | 0.176860 | + | 0.0643716i | 0.428932 | − | 0.903337i | \(-0.358890\pi\) |
−0.252073 | + | 0.967708i | \(0.581112\pi\) | |||||||
\(258\) | −3.62449 | + | 6.27779i | −0.225651 | + | 0.390838i | ||||
\(259\) | −0.0471036 | − | 0.0815859i | −0.00292688 | − | 0.00506950i | ||||
\(260\) | −0.529563 | − | 3.00330i | −0.0328421 | − | 0.186257i | ||||
\(261\) | 7.20961 | + | 6.04958i | 0.446263 | + | 0.374460i | ||||
\(262\) | 5.28493 | − | 4.43458i | 0.326504 | − | 0.273969i | ||||
\(263\) | −0.869585 | + | 4.93166i | −0.0536209 | + | 0.304099i | −0.999810 | − | 0.0195163i | \(-0.993787\pi\) |
0.946189 | + | 0.323616i | \(0.104898\pi\) | |||||||
\(264\) | 1.11334 | − | 0.405223i | 0.0685214 | − | 0.0249397i | ||||
\(265\) | 1.72193 | 0.105778 | ||||||||
\(266\) | −3.11856 | + | 5.58705i | −0.191211 | + | 0.342564i | ||||
\(267\) | 12.4115 | 0.759570 | ||||||||
\(268\) | −8.19119 | + | 2.98135i | −0.500357 | + | 0.182115i | ||||
\(269\) | −4.26945 | + | 24.2132i | −0.260313 | + | 1.47631i | 0.521745 | + | 0.853102i | \(0.325281\pi\) |
−0.782058 | + | 0.623206i | \(0.785830\pi\) | |||||||
\(270\) | 0.907604 | − | 0.761570i | 0.0552350 | − | 0.0463477i | ||||
\(271\) | −1.28699 | − | 1.07991i | −0.0781790 | − | 0.0656000i | 0.602861 | − | 0.797846i | \(-0.294027\pi\) |
−0.681040 | + | 0.732246i | \(0.738472\pi\) | |||||||
\(272\) | 0.386659 | + | 2.19285i | 0.0234447 | + | 0.132961i | ||||
\(273\) | 1.88919 | + | 3.27217i | 0.114339 | + | 0.198040i | ||||
\(274\) | 7.91147 | − | 13.7031i | 0.477950 | − | 0.827833i | ||||
\(275\) | 4.00387 | + | 1.45729i | 0.241442 | + | 0.0878779i | ||||
\(276\) | −1.11334 | − | 0.405223i | −0.0670152 | − | 0.0243916i | ||||
\(277\) | 14.9907 | − | 25.9646i | 0.900702 | − | 1.56006i | 0.0741168 | − | 0.997250i | \(-0.476386\pi\) |
0.826585 | − | 0.562812i | \(-0.190280\pi\) | |||||||
\(278\) | −7.73783 | − | 13.4023i | −0.464084 | − | 0.803817i | ||||
\(279\) | −1.37686 | − | 7.80856i | −0.0824304 | − | 0.467486i | ||||
\(280\) | −1.33228 | − | 1.11792i | −0.0796191 | − | 0.0668083i | ||||
\(281\) | 13.4914 | − | 11.3206i | 0.804828 | − | 0.675331i | −0.144539 | − | 0.989499i | \(-0.546170\pi\) |
0.949367 | + | 0.314168i | \(0.101725\pi\) | |||||||
\(282\) | 0.844770 | − | 4.79093i | 0.0503053 | − | 0.285296i | ||||
\(283\) | −14.9547 | + | 5.44307i | −0.888965 | + | 0.323557i | −0.745822 | − | 0.666145i | \(-0.767943\pi\) |
−0.143143 | + | 0.989702i | \(0.545721\pi\) | |||||||
\(284\) | 14.6382 | 0.868615 | ||||||||
\(285\) | −4.00387 | − | 3.26189i | −0.237169 | − | 0.193218i | ||||
\(286\) | −3.04963 | −0.180328 | ||||||||
\(287\) | 13.3525 | − | 4.85992i | 0.788174 | − | 0.286872i | ||||
\(288\) | −0.173648 | + | 0.984808i | −0.0102323 | + | 0.0580304i | ||||
\(289\) | −9.22462 | + | 7.74038i | −0.542625 | + | 0.455316i | ||||
\(290\) | 8.54189 | + | 7.16750i | 0.501597 | + | 0.420890i | ||||
\(291\) | 2.24257 | + | 12.7183i | 0.131462 | + | 0.745558i | ||||
\(292\) | −3.26991 | − | 5.66366i | −0.191357 | − | 0.331441i | ||||
\(293\) | −0.134285 | + | 0.232589i | −0.00784503 | + | 0.0135880i | −0.869921 | − | 0.493191i | \(-0.835831\pi\) |
0.862076 | + | 0.506779i | \(0.169164\pi\) | |||||||
\(294\) | −4.55303 | − | 1.65717i | −0.265538 | − | 0.0966480i | ||||
\(295\) | 1.56283 | + | 0.568825i | 0.0909917 | + | 0.0331183i | ||||
\(296\) | −0.0320889 | + | 0.0555796i | −0.00186513 | + | 0.00323050i | ||||
\(297\) | −0.592396 | − | 1.02606i | −0.0343743 | − | 0.0595381i | ||||
\(298\) | −0.386659 | − | 2.19285i | −0.0223986 | − | 0.127029i | ||||
\(299\) | 2.33615 | + | 1.96026i | 0.135103 | + | 0.113365i | ||||
\(300\) | −2.75490 | + | 2.31164i | −0.159054 | + | 0.133462i | ||||
\(301\) | 1.84776 | − | 10.4792i | 0.106503 | − | 0.604010i | ||||
\(302\) | 6.19846 | − | 2.25606i | 0.356681 | − | 0.129821i | ||||
\(303\) | 13.7392 | 0.789295 | ||||||||
\(304\) | 4.35844 | − | 0.0632028i | 0.249974 | − | 0.00362493i | ||||
\(305\) | −9.24216 | −0.529205 | ||||||||
\(306\) | 2.09240 | − | 0.761570i | 0.119614 | − | 0.0435361i | ||||
\(307\) | −0.0992034 | + | 0.562610i | −0.00566184 | + | 0.0321099i | −0.987508 | − | 0.157570i | \(-0.949634\pi\) |
0.981846 | + | 0.189680i | \(0.0607451\pi\) | |||||||
\(308\) | −1.33228 | + | 1.11792i | −0.0759138 | + | 0.0636992i | ||||
\(309\) | 13.1270 | + | 11.0149i | 0.746770 | + | 0.626614i | ||||
\(310\) | −1.63129 | − | 9.25152i | −0.0926512 | − | 0.525451i | ||||
\(311\) | −7.17617 | − | 12.4295i | −0.406924 | − | 0.704812i | 0.587620 | − | 0.809137i | \(-0.300065\pi\) |
−0.994543 | + | 0.104325i | \(0.966732\pi\) | |||||||
\(312\) | 1.28699 | − | 2.22913i | 0.0728614 | − | 0.126200i | ||||
\(313\) | 2.25877 | + | 0.822125i | 0.127673 | + | 0.0464693i | 0.405067 | − | 0.914287i | \(-0.367248\pi\) |
−0.277393 | + | 0.960756i | \(0.589471\pi\) | |||||||
\(314\) | 8.69594 | + | 3.16506i | 0.490740 | + | 0.178615i | ||||
\(315\) | −0.869585 | + | 1.50617i | −0.0489956 | + | 0.0848628i | ||||
\(316\) | −6.45084 | − | 11.1732i | −0.362888 | − | 0.628540i | ||||
\(317\) | 2.44104 | + | 13.8438i | 0.137102 | + | 0.777546i | 0.973373 | + | 0.229228i | \(0.0736203\pi\) |
−0.836270 | + | 0.548317i | \(0.815269\pi\) | |||||||
\(318\) | 1.11334 | + | 0.934204i | 0.0624331 | + | 0.0523876i | ||||
\(319\) | 8.54189 | − | 7.16750i | 0.478254 | − | 0.401303i | ||||
\(320\) | −0.205737 | + | 1.16679i | −0.0115011 | + | 0.0652257i | ||||
\(321\) | 9.86959 | − | 3.59224i | 0.550867 | − | 0.200499i | ||||
\(322\) | 1.73917 | 0.0969202 | ||||||||
\(323\) | −4.97431 | − | 8.33429i | −0.276778 | − | 0.463732i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 8.69846 | − | 3.16598i | 0.482504 | − | 0.175617i | ||||
\(326\) | 0.545293 | − | 3.09251i | 0.0302010 | − | 0.171278i | ||||
\(327\) | −6.16044 | + | 5.16923i | −0.340673 | + | 0.285859i | ||||
\(328\) | −7.41534 | − | 6.22221i | −0.409444 | − | 0.343564i | ||||
\(329\) | 1.24005 | + | 7.03266i | 0.0683660 | + | 0.387723i | ||||
\(330\) | −0.701867 | − | 1.21567i | −0.0386365 | − | 0.0669204i | ||||
\(331\) | −13.4213 | + | 23.2463i | −0.737700 | + | 1.27773i | 0.215829 | + | 0.976431i | \(0.430755\pi\) |
−0.953529 | + | 0.301303i | \(0.902579\pi\) | |||||||
\(332\) | −3.66385 | − | 1.33353i | −0.201080 | − | 0.0731871i | ||||
\(333\) | 0.0603074 | + | 0.0219501i | 0.00330482 | + | 0.00120286i | ||||
\(334\) | 7.93629 | − | 13.7461i | 0.434254 | − | 0.752151i | ||||
\(335\) | 5.16385 | + | 8.94405i | 0.282131 | + | 0.488665i | ||||
\(336\) | −0.254900 | − | 1.44561i | −0.0139059 | − | 0.0788645i | ||||
\(337\) | −16.0266 | − | 13.4479i | −0.873026 | − | 0.732556i | 0.0917071 | − | 0.995786i | \(-0.470768\pi\) |
−0.964733 | + | 0.263230i | \(0.915212\pi\) | |||||||
\(338\) | 4.88326 | − | 4.09754i | 0.265614 | − | 0.222877i | ||||
\(339\) | −3.32383 | + | 18.8504i | −0.180525 | + | 1.02381i | ||||
\(340\) | 2.47906 | − | 0.902302i | 0.134446 | − | 0.0489342i | ||||
\(341\) | −9.39424 | −0.508727 | ||||||||
\(342\) | −0.819078 | − | 4.28125i | −0.0442907 | − | 0.231504i | ||||
\(343\) | 17.3878 | 0.938851 | ||||||||
\(344\) | −6.81180 | + | 2.47929i | −0.367268 | + | 0.133675i | ||||
\(345\) | −0.243756 | + | 1.38241i | −0.0131234 | + | 0.0744263i | ||||
\(346\) | −2.65136 | + | 2.22475i | −0.142538 | + | 0.119604i | ||||
\(347\) | −25.7670 | − | 21.6211i | −1.38324 | − | 1.16068i | −0.967994 | − | 0.250972i | \(-0.919250\pi\) |
−0.415249 | − | 0.909708i | \(-0.636306\pi\) | |||||||
\(348\) | 1.63429 | + | 9.26849i | 0.0876069 | + | 0.496843i | ||||
\(349\) | −13.5758 | − | 23.5140i | −0.726695 | − | 1.25867i | −0.958272 | − | 0.285857i | \(-0.907722\pi\) |
0.231577 | − | 0.972817i | \(-0.425611\pi\) | |||||||
\(350\) | 2.63950 | − | 4.57175i | 0.141087 | − | 0.244370i | ||||
\(351\) | −2.41875 | − | 0.880352i | −0.129103 | − | 0.0469897i | ||||
\(352\) | 1.11334 | + | 0.405223i | 0.0593413 | + | 0.0215985i | ||||
\(353\) | 8.37258 | − | 14.5017i | 0.445627 | − | 0.771849i | −0.552468 | − | 0.833534i | \(-0.686314\pi\) |
0.998096 | + | 0.0616847i | \(0.0196473\pi\) | |||||||
\(354\) | 0.701867 | + | 1.21567i | 0.0373038 | + | 0.0646121i | ||||
\(355\) | −3.01161 | − | 17.0797i | −0.159840 | − | 0.906496i | ||||
\(356\) | 9.50774 | + | 7.97794i | 0.503909 | + | 0.422830i | ||||
\(357\) | −2.50387 | + | 2.10100i | −0.132519 | + | 0.111197i | ||||
\(358\) | 0.109470 | − | 0.620838i | 0.00578569 | − | 0.0328123i | ||||
\(359\) | 4.45336 | − | 1.62089i | 0.235040 | − | 0.0855474i | −0.221815 | − | 0.975089i | \(-0.571198\pi\) |
0.456855 | + | 0.889541i | \(0.348976\pi\) | |||||||
\(360\) | 1.18479 | 0.0624440 | ||||||||
\(361\) | −17.6582 | + | 7.01336i | −0.929380 | + | 0.369124i | ||||
\(362\) | 11.7888 | 0.619606 | ||||||||
\(363\) | 9.01754 | − | 3.28212i | 0.473298 | − | 0.172266i | ||||
\(364\) | −0.656107 | + | 3.72097i | −0.0343894 | + | 0.195032i | ||||
\(365\) | −5.93557 | + | 4.98054i | −0.310682 | + | 0.260693i | ||||
\(366\) | −5.97565 | − | 5.01417i | −0.312352 | − | 0.262095i | ||||
\(367\) | 1.52687 | + | 8.65933i | 0.0797022 | + | 0.452014i | 0.998375 | + | 0.0569932i | \(0.0181513\pi\) |
−0.918672 | + | 0.395020i | \(0.870738\pi\) | |||||||
\(368\) | −0.592396 | − | 1.02606i | −0.0308808 | − | 0.0534871i | ||||
\(369\) | −4.84002 | + | 8.38316i | −0.251962 | + | 0.436410i | ||||
\(370\) | 0.0714517 | + | 0.0260063i | 0.00371460 | + | 0.00135200i | ||||
\(371\) | −2.00475 | − | 0.729669i | −0.104081 | − | 0.0378825i | ||||
\(372\) | 3.96451 | − | 6.86673i | 0.205550 | − | 0.356023i | ||||
\(373\) | 4.72281 | + | 8.18015i | 0.244538 | + | 0.423552i | 0.962002 | − | 0.273044i | \(-0.0880304\pi\) |
−0.717464 | + | 0.696596i | \(0.754697\pi\) | |||||||
\(374\) | −0.458111 | − | 2.59808i | −0.0236884 | − | 0.134343i | ||||
\(375\) | 7.80200 | + | 6.54666i | 0.402894 | + | 0.338068i | ||||
\(376\) | 3.72668 | − | 3.12706i | 0.192189 | − | 0.161266i | ||||
\(377\) | 4.20661 | − | 23.8569i | 0.216652 | − | 1.22869i | ||||
\(378\) | −1.37939 | + | 0.502055i | −0.0709479 | + | 0.0258229i | ||||
\(379\) | 36.9077 | 1.89582 | 0.947910 | − | 0.318540i | \(-0.103192\pi\) | ||||
0.947910 | + | 0.318540i | \(0.103192\pi\) | |||||||
\(380\) | −0.970437 | − | 5.07239i | −0.0497824 | − | 0.260208i | ||||
\(381\) | 7.27631 | 0.372777 | ||||||||
\(382\) | 10.7306 | − | 3.90560i | 0.549023 | − | 0.199828i | ||||
\(383\) | −5.11721 | + | 29.0211i | −0.261477 | + | 1.48291i | 0.517405 | + | 0.855741i | \(0.326898\pi\) |
−0.778882 | + | 0.627171i | \(0.784213\pi\) | |||||||
\(384\) | −0.766044 | + | 0.642788i | −0.0390920 | + | 0.0328021i | ||||
\(385\) | 1.57848 | + | 1.32450i | 0.0804467 | + | 0.0675028i | ||||
\(386\) | −1.64796 | − | 9.34602i | −0.0838787 | − | 0.475700i | ||||
\(387\) | 3.62449 | + | 6.27779i | 0.184243 | + | 0.319118i | ||||
\(388\) | −6.45723 | + | 11.1843i | −0.327816 | + | 0.567795i | ||||
\(389\) | −16.6211 | − | 6.04958i | −0.842722 | − | 0.306726i | −0.115653 | − | 0.993290i | \(-0.536896\pi\) |
−0.727069 | + | 0.686564i | \(0.759118\pi\) | |||||||
\(390\) | −2.86571 | − | 1.04303i | −0.145111 | − | 0.0528161i | ||||
\(391\) | −1.31908 | + | 2.28471i | −0.0667086 | + | 0.115543i | ||||
\(392\) | −2.42262 | − | 4.19610i | −0.122361 | − | 0.211935i | ||||
\(393\) | −1.19800 | − | 6.79417i | −0.0604309 | − | 0.342721i | ||||
\(394\) | −5.46585 | − | 4.58639i | −0.275366 | − | 0.231059i | ||||
\(395\) | −11.7096 | + | 9.82553i | −0.589174 | + | 0.494376i | ||||
\(396\) | 0.205737 | − | 1.16679i | 0.0103387 | − | 0.0586335i | ||||
\(397\) | −11.8302 | + | 4.30585i | −0.593742 | + | 0.216104i | −0.621374 | − | 0.783514i | \(-0.713425\pi\) |
0.0276326 | + | 0.999618i | \(0.491203\pi\) | |||||||
\(398\) | 17.7520 | 0.889826 | ||||||||
\(399\) | 3.27925 | + | 5.49427i | 0.164168 | + | 0.275058i | ||||
\(400\) | −3.59627 | −0.179813 | ||||||||
\(401\) | 22.6211 | − | 8.23340i | 1.12964 | − | 0.411156i | 0.291480 | − | 0.956577i | \(-0.405852\pi\) |
0.838163 | + | 0.545420i | \(0.183630\pi\) | |||||||
\(402\) | −1.51367 | + | 8.58445i | −0.0754950 | + | 0.428154i | ||||
\(403\) | −15.6343 | + | 13.1187i | −0.778799 | + | 0.653490i | ||||
\(404\) | 10.5248 | + | 8.83137i | 0.523629 | + | 0.439377i | ||||
\(405\) | −0.205737 | − | 1.16679i | −0.0102232 | − | 0.0579784i | ||||
\(406\) | −6.90760 | − | 11.9643i | −0.342819 | − | 0.593779i | ||||
\(407\) | 0.0380187 | − | 0.0658503i | 0.00188452 | − | 0.00326408i | ||||
\(408\) | 2.09240 | + | 0.761570i | 0.103589 | + | 0.0377033i | ||||
\(409\) | 33.2276 | + | 12.0939i | 1.64300 | + | 0.598003i | 0.987560 | − | 0.157244i | \(-0.0502610\pi\) |
0.655440 | + | 0.755247i | \(0.272483\pi\) | |||||||
\(410\) | −5.73442 | + | 9.93231i | −0.283203 | + | 0.490522i | ||||
\(411\) | −7.91147 | − | 13.7031i | −0.390244 | − | 0.675923i | ||||
\(412\) | 2.97565 | + | 16.8758i | 0.146600 | + | 0.831409i | ||||
\(413\) | −1.57848 | − | 1.32450i | −0.0776718 | − | 0.0651744i | ||||
\(414\) | −0.907604 | + | 0.761570i | −0.0446063 | + | 0.0374291i | ||||
\(415\) | −0.802166 | + | 4.54931i | −0.0393768 | + | 0.223317i | ||||
\(416\) | 2.41875 | − | 0.880352i | 0.118589 | − | 0.0431628i | ||||
\(417\) | −15.4757 | −0.757846 | ||||||||
\(418\) | −5.16385 | + | 0.0748822i | −0.252572 | + | 0.00366261i | ||||
\(419\) | 4.57903 | 0.223700 | 0.111850 | − | 0.993725i | \(-0.464322\pi\) | ||||
0.111850 | + | 0.993725i | \(0.464322\pi\) | |||||||
\(420\) | −1.63429 | + | 0.594831i | −0.0797450 | + | 0.0290248i | ||||
\(421\) | 0.0482857 | − | 0.273842i | 0.00235330 | − | 0.0133462i | −0.983608 | − | 0.180317i | \(-0.942288\pi\) |
0.985962 | + | 0.166971i | \(0.0533987\pi\) | |||||||
\(422\) | −1.65657 | + | 1.39003i | −0.0806408 | + | 0.0676656i | ||||
\(423\) | −3.72668 | − | 3.12706i | −0.181197 | − | 0.152043i | ||||
\(424\) | 0.252374 | + | 1.43128i | 0.0122564 | + | 0.0695093i | ||||
\(425\) | 4.00387 | + | 6.93491i | 0.194216 | + | 0.336392i | ||||
\(426\) | 7.31908 | − | 12.6770i | 0.354610 | − | 0.614203i | ||||
\(427\) | 10.7601 | + | 3.91636i | 0.520718 | + | 0.189526i | ||||
\(428\) | 9.86959 | + | 3.59224i | 0.477064 | + | 0.173637i | ||||
\(429\) | −1.52481 | + | 2.64106i | −0.0736188 | + | 0.127511i | ||||
\(430\) | 4.29426 | + | 7.43788i | 0.207088 | + | 0.358687i | ||||
\(431\) | −2.08079 | − | 11.8007i | −0.100228 | − | 0.568421i | −0.993019 | − | 0.117951i | \(-0.962368\pi\) |
0.892792 | − | 0.450470i | \(-0.148744\pi\) | |||||||
\(432\) | 0.766044 | + | 0.642788i | 0.0368563 | + | 0.0309261i | ||||
\(433\) | −22.3286 | + | 18.7359i | −1.07305 | + | 0.900392i | −0.995325 | − | 0.0965831i | \(-0.969209\pi\) |
−0.0777205 | + | 0.996975i | \(0.524764\pi\) | |||||||
\(434\) | −2.02111 | + | 11.4623i | −0.0970162 | + | 0.550206i | ||||
\(435\) | 10.4782 | − | 3.81374i | 0.502390 | − | 0.182855i | ||||
\(436\) | −8.04189 | −0.385137 | ||||||||
\(437\) | 4.00387 | + | 3.26189i | 0.191531 | + | 0.156038i | ||||
\(438\) | −6.53983 | −0.312485 | ||||||||
\(439\) | −5.91787 | + | 2.15393i | −0.282445 | + | 0.102801i | −0.479358 | − | 0.877619i | \(-0.659130\pi\) |
0.196913 | + | 0.980421i | \(0.436908\pi\) | |||||||
\(440\) | 0.243756 | − | 1.38241i | 0.0116206 | − | 0.0659037i | ||||
\(441\) | −3.71167 | + | 3.11446i | −0.176746 | + | 0.148308i | ||||
\(442\) | −4.39053 | − | 3.68409i | −0.208836 | − | 0.175234i | ||||
\(443\) | 3.62583 | + | 20.5631i | 0.172268 | + | 0.976982i | 0.941250 | + | 0.337711i | \(0.109653\pi\) |
−0.768981 | + | 0.639271i | \(0.779236\pi\) | |||||||
\(444\) | 0.0320889 | + | 0.0555796i | 0.00152287 | + | 0.00263769i | ||||
\(445\) | 7.35251 | − | 12.7349i | 0.348542 | − | 0.603693i | ||||
\(446\) | −26.5510 | − | 9.66376i | −1.25723 | − | 0.457592i | ||||
\(447\) | −2.09240 | − | 0.761570i | −0.0989669 | − | 0.0360210i | ||||
\(448\) | 0.733956 | − | 1.27125i | 0.0346761 | − | 0.0600608i | ||||
\(449\) | −20.6878 | − | 35.8323i | −0.976317 | − | 1.69103i | −0.675519 | − | 0.737343i | \(-0.736080\pi\) |
−0.300798 | − | 0.953688i | \(-0.597253\pi\) | |||||||
\(450\) | 0.624485 | + | 3.54163i | 0.0294385 | + | 0.166954i | ||||
\(451\) | 8.78564 | + | 7.37203i | 0.413700 | + | 0.347135i | ||||
\(452\) | −14.6630 | + | 12.3037i | −0.689688 | + | 0.578717i | ||||
\(453\) | 1.14543 | − | 6.49605i | 0.0538170 | − | 0.305211i | ||||
\(454\) | −19.7554 | + | 7.19037i | −0.927165 | + | 0.337461i | ||||
\(455\) | 4.47659 | 0.209866 | ||||||||
\(456\) | 2.12449 | − | 3.80612i | 0.0994881 | − | 0.178238i | ||||
\(457\) | −27.6245 | −1.29222 | −0.646111 | − | 0.763244i | \(-0.723606\pi\) | ||||
−0.646111 | + | 0.763244i | \(0.723606\pi\) | |||||||
\(458\) | 7.48070 | − | 2.72275i | 0.349550 | − | 0.127226i | ||||
\(459\) | 0.386659 | − | 2.19285i | 0.0180477 | − | 0.102354i | ||||
\(460\) | −1.07532 | + | 0.902302i | −0.0501372 | + | 0.0420701i | ||||
\(461\) | −14.1800 | − | 11.8985i | −0.660431 | − | 0.554167i | 0.249785 | − | 0.968301i | \(-0.419640\pi\) |
−0.910216 | + | 0.414134i | \(0.864084\pi\) | |||||||
\(462\) | 0.302004 | + | 1.71275i | 0.0140505 | + | 0.0796843i | ||||
\(463\) | 1.80928 | + | 3.13376i | 0.0840843 | + | 0.145638i | 0.905001 | − | 0.425410i | \(-0.139870\pi\) |
−0.820916 | + | 0.571048i | \(0.806537\pi\) | |||||||
\(464\) | −4.70574 | + | 8.15058i | −0.218458 | + | 0.378381i | ||||
\(465\) | −8.82770 | − | 3.21302i | −0.409375 | − | 0.149000i | ||||
\(466\) | 13.8020 | + | 5.02352i | 0.639365 | + | 0.232710i | ||||
\(467\) | 7.20099 | − | 12.4725i | 0.333222 | − | 0.577158i | −0.649920 | − | 0.760003i | \(-0.725197\pi\) |
0.983142 | + | 0.182845i | \(0.0585308\pi\) | |||||||
\(468\) | −1.28699 | − | 2.22913i | −0.0594911 | − | 0.103042i | ||||
\(469\) | −2.22193 | − | 12.6012i | −0.102599 | − | 0.581870i | ||||
\(470\) | −4.41534 | − | 3.70491i | −0.203665 | − | 0.170895i | ||||
\(471\) | 7.08899 | − | 5.94837i | 0.326644 | − | 0.274086i | ||||
\(472\) | −0.243756 | + | 1.38241i | −0.0112198 | + | 0.0636305i | ||||
\(473\) | 8.07057 | − | 2.93745i | 0.371085 | − | 0.135064i | ||||
\(474\) | −12.9017 | −0.592594 | ||||||||
\(475\) | 14.6511 | − | 5.57445i | 0.672239 | − | 0.255773i | ||||
\(476\) | −3.26857 | −0.149815 | ||||||||
\(477\) | 1.36571 | − | 0.497079i | 0.0625318 | − | 0.0227597i | ||||
\(478\) | −2.73143 | + | 15.4907i | −0.124933 | + | 0.708528i | ||||
\(479\) | −24.4029 | + | 20.4764i | −1.11499 | + | 0.935592i | −0.998341 | − | 0.0575808i | \(-0.981661\pi\) |
−0.116654 | + | 0.993173i | \(0.537217\pi\) | |||||||
\(480\) | 0.907604 | + | 0.761570i | 0.0414263 | + | 0.0347608i | ||||
\(481\) | −0.0286853 | − | 0.162683i | −0.00130794 | − | 0.00741768i | ||||
\(482\) | 4.92602 | + | 8.53212i | 0.224374 | + | 0.388627i | ||||
\(483\) | 0.869585 | − | 1.50617i | 0.0395675 | − | 0.0685329i | ||||
\(484\) | 9.01754 | + | 3.28212i | 0.409888 | + | 0.149187i | ||||
\(485\) | 14.3782 | + | 5.23324i | 0.652881 | + | 0.237629i | ||||
\(486\) | 0.500000 | − | 0.866025i | 0.0226805 | − | 0.0392837i | ||||
\(487\) | 9.87346 | + | 17.1013i | 0.447409 | + | 0.774935i | 0.998217 | − | 0.0596972i | \(-0.0190135\pi\) |
−0.550808 | + | 0.834632i | \(0.685680\pi\) | |||||||
\(488\) | −1.35457 | − | 7.68215i | −0.0613185 | − | 0.347755i | ||||
\(489\) | −2.40554 | − | 2.01849i | −0.108782 | − | 0.0912793i | ||||
\(490\) | −4.39756 | + | 3.68999i | −0.198661 | + | 0.166697i | ||||
\(491\) | −5.06758 | + | 28.7397i | −0.228697 | + | 1.29700i | 0.626794 | + | 0.779185i | \(0.284367\pi\) |
−0.855491 | + | 0.517818i | \(0.826744\pi\) | |||||||
\(492\) | −9.09627 | + | 3.31077i | −0.410091 | + | 0.149261i | ||||
\(493\) | 20.9564 | 0.943827 | ||||||||
\(494\) | −8.48932 | + | 7.33575i | −0.381953 | + | 0.330051i | ||||
\(495\) | −1.40373 | −0.0630931 | ||||||||
\(496\) | 7.45084 | − | 2.71188i | 0.334552 | − | 0.121767i | ||||
\(497\) | −3.73127 | + | 21.1611i | −0.167370 | + | 0.949204i | ||||
\(498\) | −2.98680 | + | 2.50622i | −0.133842 | + | 0.112306i | ||||
\(499\) | −4.12449 | − | 3.46085i | −0.184637 | − | 0.154929i | 0.545784 | − | 0.837926i | \(-0.316232\pi\) |
−0.730421 | + | 0.682997i | \(0.760676\pi\) | |||||||
\(500\) | 1.76857 | + | 10.0301i | 0.0790929 | + | 0.448558i | ||||
\(501\) | −7.93629 | − | 13.7461i | −0.354567 | − | 0.614128i | ||||
\(502\) | 2.31134 | − | 4.00335i | 0.103160 | − | 0.178678i | ||||
\(503\) | −23.1040 | − | 8.40917i | −1.03016 | − | 0.374946i | −0.229016 | − | 0.973423i | \(-0.573551\pi\) |
−0.801141 | + | 0.598476i | \(0.795773\pi\) | |||||||
\(504\) | −1.37939 | − | 0.502055i | −0.0614427 | − | 0.0223633i | ||||
\(505\) | 8.13903 | − | 14.0972i | 0.362182 | − | 0.627318i | ||||
\(506\) | 0.701867 | + | 1.21567i | 0.0312018 | + | 0.0540431i | ||||
\(507\) | −1.10694 | − | 6.27779i | −0.0491611 | − | 0.278807i | ||||
\(508\) | 5.57398 | + | 4.67712i | 0.247305 | + | 0.207514i | ||||
\(509\) | −3.64362 | + | 3.05736i | −0.161501 | + | 0.135515i | −0.719957 | − | 0.694019i | \(-0.755838\pi\) |
0.558456 | + | 0.829534i | \(0.311394\pi\) | |||||||
\(510\) | 0.458111 | − | 2.59808i | 0.0202855 | − | 0.115045i | ||||
\(511\) | 9.02094 | − | 3.28336i | 0.399063 | − | 0.145247i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −4.11721 | − | 1.43128i | −0.181779 | − | 0.0631927i | ||||
\(514\) | 3.01724 | 0.133085 | ||||||||
\(515\) | 19.0783 | − | 6.94394i | 0.840691 | − | 0.305987i | ||||
\(516\) | −1.25877 | + | 7.13884i | −0.0554143 | + | 0.314270i | ||||
\(517\) | −4.41534 | + | 3.70491i | −0.194187 | + | 0.162942i | ||||
\(518\) | −0.0721670 | − | 0.0605553i | −0.00317083 | − | 0.00266065i | ||||
\(519\) | 0.601014 | + | 3.40852i | 0.0263816 | + | 0.149618i | ||||
\(520\) | −1.52481 | − | 2.64106i | −0.0668676 | − | 0.115818i | ||||
\(521\) | 14.8145 | − | 25.6595i | 0.649035 | − | 1.12416i | −0.334319 | − | 0.942460i | \(-0.608506\pi\) |
0.983354 | − | 0.181701i | \(-0.0581603\pi\) | |||||||
\(522\) | 8.84389 | + | 3.21891i | 0.387087 | + | 0.140888i | ||||
\(523\) | 10.0890 | + | 3.67209i | 0.441161 | + | 0.160569i | 0.553044 | − | 0.833152i | \(-0.313466\pi\) |
−0.111883 | + | 0.993721i | \(0.535688\pi\) | |||||||
\(524\) | 3.44949 | − | 5.97470i | 0.150692 | − | 0.261006i | ||||
\(525\) | −2.63950 | − | 4.57175i | −0.115197 | − | 0.199527i | ||||
\(526\) | 0.869585 | + | 4.93166i | 0.0379157 | + | 0.215031i | ||||
\(527\) | −13.5248 | − | 11.3487i | −0.589150 | − | 0.494356i | ||||
\(528\) | 0.907604 | − | 0.761570i | 0.0394984 | − | 0.0331431i | ||||
\(529\) | −3.75015 | + | 21.2682i | −0.163050 | + | 0.924703i | ||||
\(530\) | 1.61809 | − | 0.588936i | 0.0702853 | − | 0.0255817i | ||||
\(531\) | 1.40373 | 0.0609168 | ||||||||
\(532\) | −1.01960 | + | 6.31672i | −0.0442053 | + | 0.273864i | ||||
\(533\) | 24.9162 | 1.07924 | ||||||||
\(534\) | 11.6630 | − | 4.24497i | 0.504706 | − | 0.183698i | ||||
\(535\) | 2.16085 | − | 12.2548i | 0.0934219 | − | 0.529822i | ||||
\(536\) | −6.67752 | + | 5.60310i | −0.288425 | + | 0.242017i | ||||
\(537\) | −0.482926 | − | 0.405223i | −0.0208398 | − | 0.0174867i | ||||
\(538\) | 4.26945 | + | 24.2132i | 0.184069 | + | 1.04391i | ||||
\(539\) | 2.87030 | + | 4.97151i | 0.123633 | + | 0.214138i | ||||
\(540\) | 0.592396 | − | 1.02606i | 0.0254927 | − | 0.0441546i | ||||
\(541\) | −27.8209 | − | 10.1260i | −1.19611 | − | 0.435350i | −0.334247 | − | 0.942485i | \(-0.608482\pi\) |
−0.861866 | + | 0.507136i | \(0.830704\pi\) | |||||||
\(542\) | −1.57873 | − | 0.574609i | −0.0678121 | − | 0.0246816i | ||||
\(543\) | 5.89440 | − | 10.2094i | 0.252953 | − | 0.438127i | ||||
\(544\) | 1.11334 | + | 1.92836i | 0.0477341 | + | 0.0826779i | ||||
\(545\) | 1.65451 | + | 9.38322i | 0.0708716 | + | 0.401933i | ||||
\(546\) | 2.89440 | + | 2.42869i | 0.123869 | + | 0.103938i | ||||
\(547\) | 10.2365 | − | 8.58943i | 0.437680 | − | 0.367257i | −0.397160 | − | 0.917749i | \(-0.630004\pi\) |
0.834841 | + | 0.550492i | \(0.185560\pi\) | |||||||
\(548\) | 2.74763 | − | 15.5826i | 0.117373 | − | 0.665654i | ||||
\(549\) | −7.33022 | + | 2.66798i | −0.312846 | + | 0.113867i | ||||
\(550\) | 4.26083 | 0.181682 | ||||||||
\(551\) | 6.53714 | − | 40.4995i | 0.278492 | − | 1.72534i | ||||
\(552\) | −1.18479 | −0.0504281 | ||||||||
\(553\) | 17.7964 | − | 6.47735i | 0.756779 | − | 0.275445i | ||||
\(554\) | 5.20620 | − | 29.5258i | 0.221190 | − | 1.25443i | ||||
\(555\) | 0.0582480 | − | 0.0488759i | 0.00247249 | − | 0.00207466i | ||||
\(556\) | −11.8550 | − | 9.94756i | −0.502766 | − | 0.421870i | ||||
\(557\) | −0.589403 | − | 3.34267i | −0.0249738 | − | 0.141634i | 0.969771 | − | 0.244015i | \(-0.0784647\pi\) |
−0.994745 | + | 0.102382i | \(0.967354\pi\) | |||||||
\(558\) | −3.96451 | − | 6.86673i | −0.167831 | − | 0.290692i | ||||
\(559\) | 9.32934 | − | 16.1589i | 0.394589 | − | 0.683449i | ||||
\(560\) | −1.63429 | − | 0.594831i | −0.0690612 | − | 0.0251362i | ||||
\(561\) | −2.47906 | − | 0.902302i | −0.104666 | − | 0.0380952i | ||||
\(562\) | 8.80587 | − | 15.2522i | 0.371453 | − | 0.643376i | ||||
\(563\) | 20.7724 | + | 35.9789i | 0.875454 | + | 1.51633i | 0.856278 | + | 0.516515i | \(0.172771\pi\) |
0.0191757 | + | 0.999816i | \(0.493896\pi\) | |||||||
\(564\) | −0.844770 | − | 4.79093i | −0.0355712 | − | 0.201735i | ||||
\(565\) | 17.3726 | + | 14.5773i | 0.730870 | + | 0.613273i | ||||
\(566\) | −12.1912 | + | 10.2296i | −0.512434 | + | 0.429983i | ||||
\(567\) | −0.254900 | + | 1.44561i | −0.0107048 | + | 0.0607099i | ||||
\(568\) | 13.7554 | − | 5.00654i | 0.577162 | − | 0.210070i | ||||
\(569\) | 2.17705 | 0.0912668 | 0.0456334 | − | 0.998958i | \(-0.485469\pi\) | ||||
0.0456334 | + | 0.998958i | \(0.485469\pi\) | |||||||
\(570\) | −4.87804 | − | 1.69577i | −0.204319 | − | 0.0710281i | ||||
\(571\) | −2.50980 | −0.105032 | −0.0525159 | − | 0.998620i | \(-0.516724\pi\) | ||||
−0.0525159 | + | 0.998620i | \(0.516724\pi\) | |||||||
\(572\) | −2.86571 | + | 1.04303i | −0.119822 | + | 0.0436115i | ||||
\(573\) | 1.98293 | − | 11.2457i | 0.0828379 | − | 0.469797i | ||||
\(574\) | 10.8851 | − | 9.13366i | 0.454334 | − | 0.381231i | ||||
\(575\) | −3.26399 | − | 2.73881i | −0.136118 | − | 0.114216i | ||||
\(576\) | 0.173648 | + | 0.984808i | 0.00723534 | + | 0.0410337i | ||||
\(577\) | −5.75537 | − | 9.96859i | −0.239599 | − | 0.414998i | 0.721000 | − | 0.692935i | \(-0.243683\pi\) |
−0.960599 | + | 0.277937i | \(0.910349\pi\) | |||||||
\(578\) | −6.02094 | + | 10.4286i | −0.250438 | + | 0.433772i | ||||
\(579\) | −8.91787 | − | 3.24584i | −0.370614 | − | 0.134892i | ||||
\(580\) | 10.4782 | + | 3.81374i | 0.435083 | + | 0.158357i | ||||
\(581\) | 2.86168 | − | 4.95658i | 0.118723 | − | 0.205634i | ||||
\(582\) | 6.45723 | + | 11.1843i | 0.267661 | + | 0.463602i | ||||
\(583\) | −0.299011 | − | 1.69577i | −0.0123838 | − | 0.0702318i | ||||
\(584\) | −5.00980 | − | 4.20372i | −0.207307 | − | 0.173951i | ||||
\(585\) | −2.33615 | + | 1.96026i | −0.0965880 | + | 0.0810470i | ||||
\(586\) | −0.0466368 | + | 0.264490i | −0.00192655 | + | 0.0109260i | ||||
\(587\) | −15.6887 | + | 5.71021i | −0.647540 | + | 0.235685i | −0.644848 | − | 0.764311i | \(-0.723079\pi\) |
−0.00269254 | + | 0.999996i | \(0.500857\pi\) | |||||||
\(588\) | −4.84524 | −0.199814 | ||||||||
\(589\) | −26.1509 | + | 22.5974i | −1.07753 | + | 0.931111i | ||||
\(590\) | 1.66313 | 0.0684701 | ||||||||
\(591\) | −6.70486 | + | 2.44037i | −0.275801 | + | 0.100383i | ||||
\(592\) | −0.0111444 | + | 0.0632028i | −0.000458030 | + | 0.00259762i | ||||
\(593\) | 34.1544 | − | 28.6589i | 1.40255 | − | 1.17688i | 0.442598 | − | 0.896720i | \(-0.354057\pi\) |
0.959953 | − | 0.280160i | \(-0.0903875\pi\) | |||||||
\(594\) | −0.907604 | − | 0.761570i | −0.0372394 | − | 0.0312476i | ||||
\(595\) | 0.672466 | + | 3.81374i | 0.0275684 | + | 0.156348i | ||||
\(596\) | −1.11334 | − | 1.92836i | −0.0456042 | − | 0.0789888i | ||||
\(597\) | 8.87598 | − | 15.3737i | 0.363270 | − | 0.629202i | ||||
\(598\) | 2.86571 | + | 1.04303i | 0.117188 | + | 0.0426529i | ||||
\(599\) | 7.99912 | + | 2.91144i | 0.326835 | + | 0.118958i | 0.500226 | − | 0.865895i | \(-0.333250\pi\) |
−0.173391 | + | 0.984853i | \(0.555472\pi\) | |||||||
\(600\) | −1.79813 | + | 3.11446i | −0.0734085 | + | 0.127147i | ||||
\(601\) | −16.7613 | − | 29.0314i | −0.683708 | − | 1.18422i | −0.973841 | − | 0.227230i | \(-0.927033\pi\) |
0.290134 | − | 0.956986i | \(-0.406300\pi\) | |||||||
\(602\) | −1.84776 | − | 10.4792i | −0.0753092 | − | 0.427100i | ||||
\(603\) | 6.67752 | + | 5.60310i | 0.271930 | + | 0.228176i | ||||
\(604\) | 5.05303 | − | 4.24000i | 0.205605 | − | 0.172523i | ||||
\(605\) | 1.97431 | − | 11.1969i | 0.0802670 | − | 0.455217i | ||||
\(606\) | 12.9106 | − | 4.69907i | 0.524457 | − | 0.190887i | ||||
\(607\) | 1.89393 | 0.0768724 | 0.0384362 | − | 0.999261i | \(-0.487762\pi\) | ||||
0.0384362 | + | 0.999261i | \(0.487762\pi\) | |||||||
\(608\) | 4.07398 | − | 1.55007i | 0.165222 | − | 0.0628635i | ||||
\(609\) | −13.8152 | −0.559820 | ||||||||
\(610\) | −8.68479 | + | 3.16101i | −0.351637 | + | 0.127985i | ||||
\(611\) | −2.17442 | + | 12.3317i | −0.0879676 | + | 0.498889i | ||||
\(612\) | 1.70574 | − | 1.43128i | 0.0689503 | − | 0.0578562i | ||||
\(613\) | 6.50799 | + | 5.46085i | 0.262855 | + | 0.220562i | 0.764684 | − | 0.644405i | \(-0.222895\pi\) |
−0.501829 | + | 0.864967i | \(0.667339\pi\) | |||||||
\(614\) | 0.0992034 | + | 0.562610i | 0.00400352 | + | 0.0227051i | ||||
\(615\) | 5.73442 | + | 9.93231i | 0.231234 | + | 0.400509i | ||||
\(616\) | −0.869585 | + | 1.50617i | −0.0350366 | + | 0.0606851i | ||||
\(617\) | 26.4688 | + | 9.63387i | 1.06560 | + | 0.387845i | 0.814528 | − | 0.580124i | \(-0.196996\pi\) |
0.251068 | + | 0.967970i | \(0.419218\pi\) | |||||||
\(618\) | 16.1027 | + | 5.86089i | 0.647744 | + | 0.235760i | ||||
\(619\) | 11.4483 | − | 19.8291i | 0.460146 | − | 0.796997i | −0.538821 | − | 0.842420i | \(-0.681130\pi\) |
0.998968 | + | 0.0454230i | \(0.0144636\pi\) | |||||||
\(620\) | −4.69712 | − | 8.13565i | −0.188641 | − | 0.326736i | ||||
\(621\) | 0.205737 | + | 1.16679i | 0.00825594 | + | 0.0468218i | ||||
\(622\) | −10.9945 | − | 9.22551i | −0.440841 | − | 0.369909i | ||||
\(623\) | −13.9565 | + | 11.7109i | −0.559156 | + | 0.469188i | ||||
\(624\) | 0.446967 | − | 2.53487i | 0.0178930 | − | 0.101476i | ||||
\(625\) | −5.55778 | + | 2.02287i | −0.222311 | + | 0.0809147i | ||||
\(626\) | 2.40373 | 0.0960725 | ||||||||
\(627\) | −2.51707 | + | 4.50946i | −0.100522 | + | 0.180091i | ||||
\(628\) | 9.25402 | 0.369276 | ||||||||
\(629\) | 0.134285 | − | 0.0488759i | 0.00535431 | − | 0.00194881i | ||||
\(630\) | −0.302004 | + | 1.71275i | −0.0120321 | + | 0.0682375i | ||||
\(631\) | −24.8883 | + | 20.8838i | −0.990788 | + | 0.831370i | −0.985682 | − | 0.168617i | \(-0.946070\pi\) |
−0.00510629 | + | 0.999987i | \(0.501625\pi\) | |||||||
\(632\) | −9.88326 | − | 8.29304i | −0.393135 | − | 0.329879i | ||||
\(633\) | 0.375515 | + | 2.12965i | 0.0149254 | + | 0.0846460i | ||||
\(634\) | 7.02869 | + | 12.1740i | 0.279145 | + | 0.483493i | ||||
\(635\) | 4.31046 | − | 7.46594i | 0.171055 | − | 0.296277i | ||||
\(636\) | 1.36571 | + | 0.497079i | 0.0541541 | + | 0.0197105i | ||||
\(637\) | 11.7194 | + | 4.26552i | 0.464340 | + | 0.169006i | ||||
\(638\) | 5.57532 | − | 9.65674i | 0.220729 | − | 0.382314i | ||||
\(639\) | −7.31908 | − | 12.6770i | −0.289538 | − | 0.501495i | ||||
\(640\) | 0.205737 | + | 1.16679i | 0.00813247 | + | 0.0461215i | ||||
\(641\) | 5.67159 | + | 4.75903i | 0.224014 | + | 0.187970i | 0.747887 | − | 0.663826i | \(-0.231069\pi\) |
−0.523872 | + | 0.851797i | \(0.675513\pi\) | |||||||
\(642\) | 8.04576 | − | 6.75119i | 0.317541 | − | 0.266448i | ||||
\(643\) | −7.38847 | + | 41.9021i | −0.291373 | + | 1.65246i | 0.390217 | + | 0.920723i | \(0.372400\pi\) |
−0.681590 | + | 0.731734i | \(0.738711\pi\) | |||||||
\(644\) | 1.63429 | − | 0.594831i | 0.0643999 | − | 0.0234396i | ||||
\(645\) | 8.58853 | 0.338173 | ||||||||
\(646\) | −7.52481 | − | 6.13036i | −0.296060 | − | 0.241196i | ||||
\(647\) | −41.2063 | −1.61999 | −0.809993 | − | 0.586440i | \(-0.800529\pi\) | ||||
−0.809993 | + | 0.586440i | \(0.800529\pi\) | |||||||
\(648\) | 0.939693 | − | 0.342020i | 0.0369146 | − | 0.0134358i | ||||
\(649\) | 0.288800 | − | 1.63787i | 0.0113364 | − | 0.0642919i | ||||
\(650\) | 7.09105 | − | 5.95010i | 0.278134 | − | 0.233382i | ||||
\(651\) | 8.91606 | + | 7.48146i | 0.349448 | + | 0.293222i | ||||
\(652\) | −0.545293 | − | 3.09251i | −0.0213553 | − | 0.121112i | ||||
\(653\) | 13.3353 | + | 23.0974i | 0.521850 | + | 0.903870i | 0.999677 | + | 0.0254163i | \(0.00809113\pi\) |
−0.477827 | + | 0.878454i | \(0.658576\pi\) | |||||||
\(654\) | −4.02094 | + | 6.96448i | −0.157231 | + | 0.272333i | ||||
\(655\) | −7.68092 | − | 2.79563i | −0.300118 | − | 0.109234i | ||||
\(656\) | −9.09627 | − | 3.31077i | −0.355150 | − | 0.129264i | ||||
\(657\) | −3.26991 | + | 5.66366i | −0.127572 | + | 0.220960i | ||||
\(658\) | 3.57057 | + | 6.18442i | 0.139195 | + | 0.241094i | ||||
\(659\) | −2.18567 | − | 12.3955i | −0.0851416 | − | 0.482862i | −0.997326 | − | 0.0730819i | \(-0.976717\pi\) |
0.912184 | − | 0.409780i | \(-0.134395\pi\) | |||||||
\(660\) | −1.07532 | − | 0.902302i | −0.0418569 | − | 0.0351221i | ||||
\(661\) | 6.35432 | − | 5.33191i | 0.247154 | − | 0.207387i | −0.510791 | − | 0.859705i | \(-0.670648\pi\) |
0.757946 | + | 0.652317i | \(0.226203\pi\) | |||||||
\(662\) | −4.66116 | + | 26.4347i | −0.181161 | + | 1.02742i | ||||
\(663\) | −5.38578 | + | 1.96026i | −0.209166 | + | 0.0761304i | ||||
\(664\) | −3.89899 | −0.151310 | ||||||||
\(665\) | 7.58007 | − | 0.109920i | 0.293943 | − | 0.00426253i | ||||
\(666\) | 0.0641778 | 0.00248684 | ||||||||
\(667\) | −10.4782 | + | 3.81374i | −0.405717 | + | 0.147669i | ||||
\(668\) | 2.75624 | − | 15.6314i | 0.106642 | − | 0.604798i | ||||
\(669\) | −21.6446 | + | 18.1619i | −0.836827 | + | 0.702181i | ||||
\(670\) | 7.91147 | + | 6.63852i | 0.305647 | + | 0.256468i | ||||
\(671\) | 1.60488 | + | 9.10175i | 0.0619559 | + | 0.351369i | ||||
\(672\) | −0.733956 | − | 1.27125i | −0.0283130 | − | 0.0490395i | ||||
\(673\) | −0.812681 | + | 1.40761i | −0.0313266 | + | 0.0542592i | −0.881264 | − | 0.472625i | \(-0.843307\pi\) |
0.849937 | + | 0.526884i | \(0.176640\pi\) | |||||||
\(674\) | −19.6596 | − | 7.15550i | −0.757258 | − | 0.275619i | ||||
\(675\) | 3.37939 | + | 1.23000i | 0.130073 | + | 0.0473426i | ||||
\(676\) | 3.18732 | − | 5.52060i | 0.122589 | − | 0.212331i | ||||
\(677\) | 6.64203 | + | 11.5043i | 0.255274 | + | 0.442147i | 0.964970 | − | 0.262361i | \(-0.0845011\pi\) |
−0.709696 | + | 0.704508i | \(0.751168\pi\) | |||||||
\(678\) | 3.32383 | + | 18.8504i | 0.127651 | + | 0.723943i | ||||
\(679\) | −14.5221 | − | 12.1855i | −0.557308 | − | 0.467637i | ||||
\(680\) | 2.02094 | − | 1.69577i | 0.0774997 | − | 0.0650300i | ||||
\(681\) | −3.65064 | + | 20.7038i | −0.139893 | + | 0.793373i | ||||
\(682\) | −8.82770 | + | 3.21302i | −0.338030 | + | 0.123033i | ||||
\(683\) | 2.90673 | 0.111223 | 0.0556114 | − | 0.998452i | \(-0.482289\pi\) | ||||
0.0556114 | + | 0.998452i | \(0.482289\pi\) | |||||||
\(684\) | −2.23396 | − | 3.74292i | −0.0854174 | − | 0.143114i | ||||
\(685\) | −18.7469 | −0.716283 | ||||||||
\(686\) | 16.3391 | − | 5.94696i | 0.623831 | − | 0.227056i | ||||
\(687\) | 1.38238 | − | 7.83986i | 0.0527410 | − | 0.299109i | ||||
\(688\) | −5.55303 | + | 4.65955i | −0.211707 | + | 0.177644i | ||||
\(689\) | −2.86571 | − | 2.40462i | −0.109175 | − | 0.0916087i | ||||
\(690\) | 0.243756 | + | 1.38241i | 0.00927962 | + | 0.0526274i | ||||
\(691\) | 7.18004 | + | 12.4362i | 0.273142 | + | 0.473095i | 0.969665 | − | 0.244439i | \(-0.0786039\pi\) |
−0.696523 | + | 0.717535i | \(0.745271\pi\) | |||||||
\(692\) | −1.73055 | + | 2.99740i | −0.0657857 | + | 0.113944i | ||||
\(693\) | 1.63429 | + | 0.594831i | 0.0620814 | + | 0.0225958i | ||||
\(694\) | −31.6079 | − | 11.5043i | −1.19982 | − | 0.436698i | ||||
\(695\) | −9.16772 | + | 15.8790i | −0.347751 | + | 0.602323i | ||||
\(696\) | 4.70574 | + | 8.15058i | 0.178371 | + | 0.308947i | ||||
\(697\) | 3.74288 | + | 21.2269i | 0.141772 | + | 0.804027i | ||||
\(698\) | −20.7993 | − | 17.4527i | −0.787266 | − | 0.660594i | ||||
\(699\) | 11.2515 | − | 9.44113i | 0.425571 | − | 0.357096i | ||||
\(700\) | 0.916689 | − | 5.19880i | 0.0346476 | − | 0.196496i | ||||
\(701\) | −45.7195 | + | 16.6405i | −1.72680 | + | 0.628504i | −0.998395 | − | 0.0566421i | \(-0.981961\pi\) |
−0.728406 | + | 0.685146i | \(0.759738\pi\) | |||||||
\(702\) | −2.57398 | −0.0971485 | ||||||||
\(703\) | −0.0525666 | − | 0.274761i | −0.00198259 | − | 0.0103628i | ||||
\(704\) | 1.18479 | 0.0446535 | ||||||||
\(705\) | −5.41622 | + | 1.97134i | −0.203987 | + | 0.0742451i | ||||
\(706\) | 2.90777 | − | 16.4908i | 0.109435 | − | 0.620638i | ||||
\(707\) | −15.4495 | + | 12.9637i | −0.581038 | + | 0.487549i | ||||
\(708\) | 1.07532 | + | 0.902302i | 0.0404131 | + | 0.0339106i | ||||
\(709\) | −1.69207 | − | 9.59619i | −0.0635469 | − | 0.360392i | −0.999955 | − | 0.00947962i | \(-0.996982\pi\) |
0.936408 | − | 0.350913i | \(-0.114129\pi\) | |||||||
\(710\) | −8.67159 | − | 15.0196i | −0.325439 | − | 0.563677i | ||||
\(711\) | −6.45084 | + | 11.1732i | −0.241925 | + | 0.419027i | ||||
\(712\) | 11.6630 | + | 4.24497i | 0.437088 | + | 0.159087i | ||||
\(713\) | 8.82770 | + | 3.21302i | 0.330600 | + | 0.120328i | ||||
\(714\) | −1.63429 | + | 2.83067i | −0.0611616 | + | 0.105935i | ||||
\(715\) | 1.80659 | + | 3.12910i | 0.0675626 | + | 0.117022i | ||||
\(716\) | −0.109470 | − | 0.620838i | −0.00409110 | − | 0.0232018i | ||||
\(717\) | 12.0496 | + | 10.1108i | 0.450002 | + | 0.377596i | ||||
\(718\) | 3.63041 | − | 3.04628i | 0.135486 | − | 0.113686i | ||||
\(719\) | 0.841777 | − | 4.77396i | 0.0313930 | − | 0.178038i | −0.965080 | − | 0.261957i | \(-0.915632\pi\) |
0.996473 | + | 0.0839181i | \(0.0267434\pi\) | |||||||
\(720\) | 1.11334 | − | 0.405223i | 0.0414918 | − | 0.0151018i | ||||
\(721\) | −25.1543 | −0.936794 | ||||||||
\(722\) | −14.1946 | + | 12.6299i | −0.528268 | + | 0.470035i | ||||
\(723\) | 9.85204 | 0.366401 | ||||||||
\(724\) | 11.0778 | − | 4.03201i | 0.411705 | − | 0.149848i | ||||
\(725\) | −5.87733 | + | 33.3320i | −0.218278 | + | 1.23792i | ||||
\(726\) | 7.35117 | − | 6.16836i | 0.272827 | − | 0.228929i | ||||
\(727\) | −10.8714 | − | 9.12218i | −0.403198 | − | 0.338323i | 0.418530 | − | 0.908203i | \(-0.362545\pi\) |
−0.821728 | + | 0.569880i | \(0.806990\pi\) | |||||||
\(728\) | 0.656107 | + | 3.72097i | 0.0243170 | + | 0.137908i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | −3.87417 | + | 6.71026i | −0.143389 | + | 0.248358i | ||||
\(731\) | 15.1677 | + | 5.52060i | 0.560998 | + | 0.204187i | ||||
\(732\) | −7.33022 | − | 2.66798i | −0.270933 | − | 0.0986115i | ||||
\(733\) | −5.31908 | + | 9.21291i | −0.196465 | + | 0.340287i | −0.947380 | − | 0.320112i | \(-0.896279\pi\) |
0.750915 | + | 0.660399i | \(0.229613\pi\) | |||||||
\(734\) | 4.39646 | + | 7.61489i | 0.162276 | + | 0.281071i | ||||
\(735\) | 0.996845 | + | 5.65339i | 0.0367692 | + | 0.208528i | ||||
\(736\) | −0.907604 | − | 0.761570i | −0.0334547 | − | 0.0280718i | ||||
\(737\) | 7.91147 | − | 6.63852i | 0.291423 | − | 0.244533i | ||||
\(738\) | −1.68092 | + | 9.53298i | −0.0618756 | + | 0.350914i | ||||
\(739\) | 25.9368 | − | 9.44021i | 0.954099 | − | 0.347264i | 0.182381 | − | 0.983228i | \(-0.441620\pi\) |
0.771718 | + | 0.635964i | \(0.219397\pi\) | |||||||
\(740\) | 0.0760373 | 0.00279519 | ||||||||
\(741\) | 2.10829 | + | 11.0198i | 0.0774499 | + | 0.404824i | ||||
\(742\) | −2.13341 | −0.0783199 | ||||||||
\(743\) | −1.13816 | + | 0.414255i | −0.0417549 | + | 0.0151975i | −0.362813 | − | 0.931862i | \(-0.618184\pi\) |
0.321058 | + | 0.947059i | \(0.395961\pi\) | |||||||
\(744\) | 1.37686 | − | 7.80856i | 0.0504781 | − | 0.286276i | ||||
\(745\) | −2.02094 | + | 1.69577i | −0.0740417 | + | 0.0621283i | ||||
\(746\) | 7.23577 | + | 6.07153i | 0.264920 | + | 0.222294i | ||||
\(747\) | 0.677052 | + | 3.83975i | 0.0247720 | + | 0.140489i | ||||
\(748\) | −1.31908 | − | 2.28471i | −0.0482303 | − | 0.0835373i | ||||
\(749\) | −7.70873 | + | 13.3519i | −0.281671 | + | 0.487868i | ||||
\(750\) | 9.57057 | + | 3.48340i | 0.349468 | + | 0.127196i | ||||
\(751\) | −46.0925 | − | 16.7763i | −1.68194 | − | 0.612175i | −0.688364 | − | 0.725365i | \(-0.741671\pi\) |
−0.993573 | + | 0.113190i | \(0.963893\pi\) | |||||||
\(752\) | 2.43242 | − | 4.21307i | 0.0887012 | − | 0.153635i | ||||
\(753\) | −2.31134 | − | 4.00335i | −0.0842298 | − | 0.145890i | ||||
\(754\) | −4.20661 | − | 23.8569i | −0.153196 | − | 0.868817i | ||||
\(755\) | −5.98680 | − | 5.02352i | −0.217882 | − | 0.182825i | ||||
\(756\) | −1.12449 | + | 0.943555i | −0.0408971 | + | 0.0343168i | ||||
\(757\) | 6.26445 | − | 35.5275i | 0.227685 | − | 1.29127i | −0.629799 | − | 0.776758i | \(-0.716863\pi\) |
0.857484 | − | 0.514510i | \(-0.172026\pi\) | |||||||
\(758\) | 34.6819 | − | 12.6232i | 1.25970 | − | 0.458494i | ||||
\(759\) | 1.40373 | 0.0509523 | ||||||||
\(760\) | −2.64677 | − | 4.43458i | −0.0960086 | − | 0.160859i | ||||
\(761\) | 4.72193 | 0.171170 | 0.0855850 | − | 0.996331i | \(-0.472724\pi\) | ||||
0.0855850 | + | 0.996331i | \(0.472724\pi\) | |||||||
\(762\) | 6.83750 | − | 2.48865i | 0.247696 | − | 0.0901541i | ||||
\(763\) | 2.04988 | − | 11.6254i | 0.0742106 | − | 0.420869i | ||||
\(764\) | 8.74763 | − | 7.34013i | 0.316478 | − | 0.265557i | ||||
\(765\) | −2.02094 | − | 1.69577i | −0.0730674 | − | 0.0613108i | ||||
\(766\) | 5.11721 | + | 29.0211i | 0.184892 | + | 1.04858i | ||||
\(767\) | −1.80659 | − | 3.12910i | −0.0652322 | − | 0.112985i | ||||
\(768\) | −0.500000 | + | 0.866025i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | −20.3893 | − | 7.42112i | −0.735259 | − | 0.267612i | −0.0528696 | − | 0.998601i | \(-0.516837\pi\) |
−0.682389 | + | 0.730989i | \(0.739059\pi\) | |||||||
\(770\) | 1.93629 | + | 0.704752i | 0.0697790 | + | 0.0253975i | ||||
\(771\) | 1.50862 | − | 2.61300i | 0.0543316 | − | 0.0941050i | ||||
\(772\) | −4.74510 | − | 8.21875i | −0.170780 | − | 0.295799i | ||||
\(773\) | 7.65611 | + | 43.4199i | 0.275371 | + | 1.56171i | 0.737781 | + | 0.675040i | \(0.235874\pi\) |
−0.462410 | + | 0.886666i | \(0.653015\pi\) | |||||||
\(774\) | 5.55303 | + | 4.65955i | 0.199600 | + | 0.167484i | ||||
\(775\) | 21.8436 | − | 18.3290i | 0.784647 | − | 0.658397i | ||||
\(776\) | −2.24257 | + | 12.7183i | −0.0805037 | + | 0.456559i | ||||
\(777\) | −0.0885259 | + | 0.0322208i | −0.00317585 | + | 0.00115591i | ||||
\(778\) | −17.6878 | −0.634138 | ||||||||
\(779\) | 42.1899 | − | 0.611806i | 1.51161 | − | 0.0219202i | ||||
\(780\) | −3.04963 | −0.109194 | ||||||||
\(781\) | −16.2973 | + | 5.93172i | −0.583162 | + | 0.212253i | ||||
\(782\) | −0.458111 | + | 2.59808i | −0.0163820 | + | 0.0929070i | ||||
\(783\) | 7.20961 | − | 6.04958i | 0.257650 | − | 0.216194i | ||||
\(784\) | −3.71167 | − | 3.11446i | −0.132560 | − | 0.111231i | ||||
\(785\) | −1.90390 | − | 10.7975i | −0.0679529 | − | 0.385380i | ||||
\(786\) | −3.44949 | − | 5.97470i | −0.123039 | − | 0.213110i | ||||
\(787\) | 10.0694 | − | 17.4407i | 0.358935 | − | 0.621694i | −0.628848 | − | 0.777528i | \(-0.716473\pi\) |
0.987783 | + | 0.155834i | \(0.0498066\pi\) | |||||||
\(788\) | −6.70486 | − | 2.44037i | −0.238851 | − | 0.0869346i | ||||
\(789\) | 4.70574 | + | 1.71275i | 0.167529 | + | 0.0609755i | ||||
\(790\) | −7.64290 | + | 13.2379i | −0.271922 | + | 0.470983i | ||||
\(791\) | −14.0488 | − | 24.3332i | −0.499516 | − | 0.865187i | ||||
\(792\) | −0.205737 | − | 1.16679i | −0.00731055 | − | 0.0414602i | ||||
\(793\) | 15.3812 | + | 12.9064i | 0.546202 | + | 0.458318i | ||||
\(794\) | −9.64409 | + | 8.09235i | −0.342256 | + | 0.287187i | ||||
\(795\) | 0.299011 | − | 1.69577i | 0.0106048 | − | 0.0601429i | ||||
\(796\) | 16.6814 | − | 6.07153i | 0.591256 | − | 0.215200i | ||||
\(797\) | 12.0729 | 0.427642 | 0.213821 | − | 0.976873i | \(-0.431409\pi\) | ||||
0.213821 | + | 0.976873i | \(0.431409\pi\) | |||||||
\(798\) | 4.96064 | + | 4.04136i | 0.175605 | + | 0.143063i | ||||
\(799\) | −10.8324 | −0.383224 | ||||||||
\(800\) | −3.37939 | + | 1.23000i | −0.119479 | + | 0.0434869i | ||||
\(801\) | 2.15523 | − | 12.2229i | 0.0761513 | − | 0.431875i | ||||
\(802\) | 18.4409 | − | 15.4737i | 0.651170 | − | 0.546396i | ||||
\(803\) | 5.93557 | + | 4.98054i | 0.209462 | + | 0.175759i | ||||
\(804\) | 1.51367 | + | 8.58445i | 0.0533830 | + | 0.302750i | ||||
\(805\) | −1.03028 | − | 1.78449i | −0.0363125 | − | 0.0628951i | ||||
\(806\) | −10.2046 | + | 17.6748i | −0.359440 | + | 0.622569i | ||||
\(807\) | 23.1040 | + | 8.40917i | 0.813300 | + | 0.296017i | ||||
\(808\) | 12.9106 | + | 4.69907i | 0.454193 | + | 0.165313i | ||||
\(809\) | 19.4868 | − | 33.7521i | 0.685119 | − | 1.18666i | −0.288280 | − | 0.957546i | \(-0.593083\pi\) |
0.973399 | − | 0.229115i | \(-0.0735833\pi\) | |||||||
\(810\) | −0.592396 | − | 1.02606i | −0.0208147 | − | 0.0360521i | ||||
\(811\) | −3.71641 | − | 21.0768i | −0.130501 | − | 0.740108i | −0.977888 | − | 0.209131i | \(-0.932936\pi\) |
0.847387 | − | 0.530976i | \(-0.178175\pi\) | |||||||
\(812\) | −10.5831 | − | 8.88024i | −0.371393 | − | 0.311635i | ||||
\(813\) | −1.28699 | + | 1.07991i | −0.0451367 | + | 0.0378742i | ||||
\(814\) | 0.0132037 | − | 0.0748822i | 0.000462791 | − | 0.00262462i | ||||
\(815\) | −3.49613 | + | 1.27249i | −0.122464 | + | 0.0445733i | ||||
\(816\) | 2.22668 | 0.0779494 | ||||||||
\(817\) | 15.4003 | − | 27.5905i | 0.538789 | − | 0.965268i | ||||
\(818\) | 35.3601 | 1.23634 | ||||||||
\(819\) | 3.55051 | − | 1.29228i | 0.124065 | − | 0.0451559i | ||||
\(820\) | −1.99154 | + | 11.2946i | −0.0695477 | + | 0.394425i | ||||
\(821\) | 37.4564 | − | 31.4296i | 1.30724 | − | 1.09690i | 0.318390 | − | 0.947960i | \(-0.396858\pi\) |
0.988846 | − | 0.148941i | \(-0.0475865\pi\) | |||||||
\(822\) | −12.1211 | − | 10.1708i | −0.422771 | − | 0.354747i | ||||
\(823\) | −5.20217 | − | 29.5030i | −0.181336 | − | 1.02841i | −0.930573 | − | 0.366107i | \(-0.880690\pi\) |
0.749237 | − | 0.662302i | \(-0.230421\pi\) | |||||||
\(824\) | 8.56805 | + | 14.8403i | 0.298482 | + | 0.516986i | ||||
\(825\) | 2.13041 | − | 3.68999i | 0.0741715 | − | 0.128469i | ||||
\(826\) | −1.93629 | − | 0.704752i | −0.0673721 | − | 0.0245214i | ||||
\(827\) | 21.7601 | + | 7.92003i | 0.756673 | + | 0.275407i | 0.691411 | − | 0.722462i | \(-0.256989\pi\) |
0.0652623 | + | 0.997868i | \(0.479212\pi\) | |||||||
\(828\) | −0.592396 | + | 1.02606i | −0.0205872 | + | 0.0356581i | ||||
\(829\) | −15.4290 | − | 26.7238i | −0.535872 | − | 0.928157i | −0.999121 | − | 0.0419290i | \(-0.986650\pi\) |
0.463249 | − | 0.886228i | \(-0.346684\pi\) | |||||||
\(830\) | 0.802166 | + | 4.54931i | 0.0278436 | + | 0.157909i | ||||
\(831\) | −22.9670 | − | 19.2716i | −0.796718 | − | 0.668525i | ||||
\(832\) | 1.97178 | − | 1.65452i | 0.0683592 | − | 0.0573602i | ||||
\(833\) | −1.87346 | + | 10.6249i | −0.0649114 | + | 0.368131i | ||||
\(834\) | −14.5424 | + | 5.29298i | −0.503561 | + | 0.183281i | ||||
\(835\) | −18.8057 | −0.650798 | ||||||||
\(836\) | −4.82682 | + | 1.83651i | −0.166939 | + | 0.0635169i | ||||
\(837\) | −7.92902 | −0.274067 | ||||||||
\(838\) | 4.30288 | − | 1.56612i | 0.148641 | − | 0.0541007i | ||||
\(839\) | 1.95707 | − | 11.0991i | 0.0675656 | − | 0.383184i | −0.932208 | − | 0.361922i | \(-0.882121\pi\) |
0.999774 | − | 0.0212615i | \(-0.00676826\pi\) | |||||||
\(840\) | −1.33228 | + | 1.11792i | −0.0459681 | + | 0.0385718i | ||||
\(841\) | 45.6377 | + | 38.2946i | 1.57372 | + | 1.32050i | ||||
\(842\) | −0.0482857 | − | 0.273842i | −0.00166403 | − | 0.00943721i | ||||
\(843\) | −8.80587 | − | 15.2522i | −0.303290 | − | 0.525314i | ||||
\(844\) | −1.08125 | + | 1.87278i | −0.0372182 | + | 0.0644639i | ||||
\(845\) | −7.09714 | − | 2.58315i | −0.244149 | − | 0.0888630i | ||||
\(846\) | −4.57145 | − | 1.66387i | −0.157170 | − | 0.0572051i | ||||
\(847\) | −7.04323 | + | 12.1992i | −0.242008 | + | 0.419171i | ||||
\(848\) | 0.726682 | + | 1.25865i | 0.0249543 | + | 0.0432222i | ||||
\(849\) | 2.76352 | + | 15.6727i | 0.0948437 | + | 0.537885i | ||||
\(850\) | 6.13429 | + | 5.14728i | 0.210404 | + | 0.176550i | ||||
\(851\) | −0.0582480 | + | 0.0488759i | −0.00199672 | + | 0.00167544i | ||||
\(852\) | 2.54189 | − | 14.4158i | 0.0870837 | − | 0.493876i | ||||
\(853\) | 18.4338 | − | 6.70934i | 0.631160 | − | 0.229723i | −0.00657610 | − | 0.999978i | \(-0.502093\pi\) |
0.637736 | + | 0.770255i | \(0.279871\pi\) | |||||||
\(854\) | 11.4507 | 0.391834 | ||||||||
\(855\) | −3.90760 | + | 3.37662i | −0.133637 | + | 0.115478i | ||||
\(856\) | 10.5030 | 0.358985 | ||||||||
\(857\) | −21.7707 | + | 7.92388i | −0.743672 | + | 0.270675i | −0.685941 | − | 0.727657i | \(-0.740609\pi\) |
−0.0577318 | + | 0.998332i | \(0.518387\pi\) | |||||||
\(858\) | −0.529563 | + | 3.00330i | −0.0180790 | + | 0.102531i | ||||
\(859\) | 1.85529 | − | 1.55677i | 0.0633015 | − | 0.0531163i | −0.610588 | − | 0.791948i | \(-0.709067\pi\) |
0.673889 | + | 0.738832i | \(0.264622\pi\) | |||||||
\(860\) | 6.57919 | + | 5.52060i | 0.224349 | + | 0.188251i | ||||
\(861\) | −2.46744 | − | 13.9936i | −0.0840903 | − | 0.476900i | ||||
\(862\) | −5.99138 | − | 10.3774i | −0.204067 | − | 0.353455i | ||||
\(863\) | 8.33615 | − | 14.4386i | 0.283766 | − | 0.491497i | −0.688543 | − | 0.725195i | \(-0.741749\pi\) |
0.972309 | + | 0.233698i | \(0.0750828\pi\) | |||||||
\(864\) | 0.939693 | + | 0.342020i | 0.0319690 | + | 0.0116358i | ||||
\(865\) | 3.85339 | + | 1.40252i | 0.131019 | + | 0.0476871i | ||||
\(866\) | −14.5740 | + | 25.2429i | −0.495244 | + | 0.857788i | ||||
\(867\) | 6.02094 | + | 10.4286i | 0.204482 | + | 0.354173i | ||||
\(868\) | 2.02111 | + | 11.4623i | 0.0686008 | + | 0.389055i | ||||
\(869\) | 11.7096 | + | 9.82553i | 0.397221 | + | 0.333308i | ||||
\(870\) | 8.54189 | − | 7.16750i | 0.289597 | − | 0.243001i | ||||
\(871\) | 3.89615 | − | 22.0962i | 0.132016 | − | 0.748701i | ||||
\(872\) | −7.55690 | + | 2.75049i | −0.255909 | + | 0.0931433i | ||||
\(873\) | 12.9145 | 0.437088 | ||||||||
\(874\) | 4.87804 | + | 1.69577i | 0.165002 | + | 0.0573604i | ||||
\(875\) | −14.9504 | −0.505415 | ||||||||
\(876\) | −6.14543 | + | 2.23675i | −0.207635 | + | 0.0755729i | ||||
\(877\) | −6.63294 | + | 37.6173i | −0.223979 | + | 1.27025i | 0.640650 | + | 0.767833i | \(0.278665\pi\) |
−0.864628 | + | 0.502412i | \(0.832446\pi\) | |||||||
\(878\) | −4.82429 | + | 4.04806i | −0.162812 | + | 0.136615i | ||||
\(879\) | 0.205737 | + | 0.172634i | 0.00693934 | + | 0.00582280i | ||||
\(880\) | −0.243756 | − | 1.38241i | −0.00821700 | − | 0.0466009i | ||||
\(881\) | 11.7592 | + | 20.3676i | 0.396179 | + | 0.686202i | 0.993251 | − | 0.115986i | \(-0.0370027\pi\) |
−0.597072 | + | 0.802188i | \(0.703669\pi\) | |||||||
\(882\) | −2.42262 | + | 4.19610i | −0.0815738 | + | 0.141290i | ||||
\(883\) | 17.3042 | + | 6.29822i | 0.582334 | + | 0.211952i | 0.616354 | − | 0.787469i | \(-0.288609\pi\) |
−0.0340206 | + | 0.999421i | \(0.510831\pi\) | |||||||
\(884\) | −5.38578 | − | 1.96026i | −0.181143 | − | 0.0659308i | ||||
\(885\) | 0.831566 | − | 1.44032i | 0.0279528 | − | 0.0484157i | ||||
\(886\) | 10.4402 | + | 18.0829i | 0.350744 | + | 0.607506i | ||||
\(887\) | −4.78317 | − | 27.1267i | −0.160603 | − | 0.910827i | −0.953483 | − | 0.301448i | \(-0.902530\pi\) |
0.792879 | − | 0.609379i | \(-0.208581\pi\) | |||||||
\(888\) | 0.0491630 | + | 0.0412527i | 0.00164980 | + | 0.00138435i | ||||
\(889\) | −8.18210 | + | 6.86560i | −0.274419 | + | 0.230265i | ||||
\(890\) | 2.55350 | − | 14.4816i | 0.0855935 | − | 0.485425i | ||||
\(891\) | −1.11334 | + | 0.405223i | −0.0372983 | + | 0.0135755i | ||||
\(892\) | −28.2550 | −0.946046 | ||||||||
\(893\) | −3.37908 | + | 20.9344i | −0.113077 | + | 0.700542i | ||||
\(894\) | −2.22668 | −0.0744714 | ||||||||
\(895\) | −0.701867 | + | 0.255459i | −0.0234608 | + | 0.00853904i | ||||
\(896\) | 0.254900 | − | 1.44561i | 0.00851561 | − | 0.0482944i | ||||
\(897\) | 2.33615 | − | 1.96026i | 0.0780018 | − | 0.0654513i | ||||
\(898\) | −31.6955 | − | 26.5957i | −1.05769 | − | 0.887510i | ||||
\(899\) | −12.9583 | − | 73.4900i | −0.432183 | − | 2.45103i | ||||
\(900\) | 1.79813 | + | 3.11446i | 0.0599378 | + | 0.103815i | ||||
\(901\) | 1.61809 | − | 2.80261i | 0.0539063 | − | 0.0933685i | ||||
\(902\) | 10.7772 | + | 3.92258i | 0.358841 | + | 0.130607i | ||||
\(903\) | −9.99912 | − | 3.63938i | −0.332750 | − | 0.121111i | ||||
\(904\) | −9.57057 | + | 16.5767i | −0.318313 | + | 0.551334i | ||||
\(905\) | −6.98364 | − | 12.0960i | −0.232144 | − | 0.402085i | ||||
\(906\) | −1.14543 | − | 6.49605i | −0.0380544 | − | 0.215817i | ||||
\(907\) | 15.9559 | + | 13.3886i | 0.529807 | + | 0.444561i | 0.868035 | − | 0.496504i | \(-0.165383\pi\) |
−0.338228 | + | 0.941064i | \(0.609828\pi\) | |||||||
\(908\) | −16.1047 | + | 13.5135i | −0.534454 | + | 0.448460i | ||||
\(909\) | 2.38578 | − | 13.5304i | 0.0791314 | − | 0.448776i | ||||
\(910\) | 4.20661 | − | 1.53108i | 0.139448 | − | 0.0507549i | ||||
\(911\) | 13.7300 | 0.454895 | 0.227448 | − | 0.973790i | \(-0.426962\pi\) | ||||
0.227448 | + | 0.973790i | \(0.426962\pi\) | |||||||
\(912\) | 0.694593 | − | 4.30320i | 0.0230003 | − | 0.142493i | ||||
\(913\) | 4.61949 | 0.152883 | ||||||||
\(914\) | −25.9586 | + | 9.44815i | −0.858633 | + | 0.312517i | ||||
\(915\) | −1.60488 | + | 9.10175i | −0.0530559 | + | 0.300895i | ||||
\(916\) | 6.09833 | − | 5.11710i | 0.201494 | − | 0.169074i | ||||
\(917\) | 7.75781 | + | 6.50957i | 0.256185 | + | 0.214965i | ||||
\(918\) | −0.386659 | − | 2.19285i | −0.0127617 | − | 0.0723749i | ||||
\(919\) | 22.2245 | + | 38.4939i | 0.733117 | + | 1.26980i | 0.955544 | + | 0.294847i | \(0.0952687\pi\) |
−0.222427 | + | 0.974949i | \(0.571398\pi\) | |||||||
\(920\) | −0.701867 | + | 1.21567i | −0.0231399 | + | 0.0400794i | ||||
\(921\) | 0.536837 | + | 0.195393i | 0.0176894 | + | 0.00643840i | ||||
\(922\) | −17.3944 | − | 6.33104i | −0.572854 | − | 0.208502i | ||||
\(923\) | −18.8391 | + | 32.6304i | −0.620098 | + | 1.07404i | ||||
\(924\) | 0.869585 | + | 1.50617i | 0.0286072 | + | 0.0495492i | ||||
\(925\) | 0.0400781 | + | 0.227294i | 0.00131776 | + | 0.00747338i | ||||
\(926\) | 2.77197 | + | 2.32596i | 0.0910927 | + | 0.0764359i | ||||
\(927\) | 13.1270 | − | 11.0149i | 0.431148 | − | 0.361776i | ||||
\(928\) | −1.63429 | + | 9.26849i | −0.0536480 | + | 0.304253i | ||||
\(929\) | −9.12866 | + | 3.32256i | −0.299502 | + | 0.109010i | −0.487400 | − | 0.873179i | \(-0.662055\pi\) |
0.187898 | + | 0.982188i | \(0.439832\pi\) | |||||||
\(930\) | −9.39424 | −0.308049 | ||||||||
\(931\) | 19.9489 | + | 6.93491i | 0.653798 | + | 0.227282i | ||||
\(932\) | 14.6878 | 0.481114 | ||||||||
\(933\) | −13.4868 | + | 4.90879i | −0.441538 | + | 0.160707i | ||||
\(934\) | 2.50088 | − | 14.1832i | 0.0818312 | − | 0.464088i | ||||
\(935\) | −2.39440 | + | 2.00914i | −0.0783053 | + | 0.0657059i | ||||
\(936\) | −1.97178 | − | 1.65452i | −0.0644497 | − | 0.0540797i | ||||
\(937\) | −1.98808 | − | 11.2750i | −0.0649479 | − | 0.368338i | −0.999908 | − | 0.0135842i | \(-0.995676\pi\) |
0.934960 | − | 0.354754i | \(-0.115435\pi\) | |||||||
\(938\) | −6.39780 | − | 11.0813i | −0.208896 | − | 0.361818i | ||||
\(939\) | 1.20187 | − | 2.08169i | 0.0392214 | − | 0.0679335i | ||||
\(940\) | −5.41622 | − | 1.97134i | −0.176658 | − | 0.0642981i | ||||
\(941\) | −42.3546 | − | 15.4158i | −1.38072 | − | 0.502541i | −0.458324 | − | 0.888785i | \(-0.651550\pi\) |
−0.922397 | + | 0.386243i | \(0.873772\pi\) | |||||||
\(942\) | 4.62701 | − | 8.01422i | 0.150756 | − | 0.261117i | ||||
\(943\) | −5.73442 | − | 9.93231i | −0.186738 | − | 0.323441i | ||||
\(944\) | 0.243756 | + | 1.38241i | 0.00793357 | + | 0.0449935i | ||||
\(945\) | 1.33228 | + | 1.11792i | 0.0433391 | + | 0.0363658i | ||||
\(946\) | 6.57919 | − | 5.52060i | 0.213908 | − | 0.179490i | ||||
\(947\) | 7.66014 | − | 43.4428i | 0.248921 | − | 1.41170i | −0.562286 | − | 0.826943i | \(-0.690078\pi\) |
0.811207 | − | 0.584759i | \(-0.198811\pi\) | |||||||
\(948\) | −12.1236 | + | 4.41263i | −0.393756 | + | 0.143316i | ||||
\(949\) | 16.8334 | 0.546435 | ||||||||
\(950\) | 11.8610 | − | 10.2492i | 0.384821 | − | 0.332529i | ||||
\(951\) | 14.0574 | 0.455841 | ||||||||
\(952\) | −3.07145 | + | 1.11792i | −0.0995463 | + | 0.0362319i | ||||
\(953\) | 0.318201 | − | 1.80460i | 0.0103075 | − | 0.0584569i | −0.979220 | − | 0.202800i | \(-0.934996\pi\) |
0.989528 | + | 0.144343i | \(0.0461069\pi\) | |||||||
\(954\) | 1.11334 | − | 0.934204i | 0.0360457 | − | 0.0302460i | ||||
\(955\) | −10.3641 | − | 8.69653i | −0.335375 | − | 0.281413i | ||||
\(956\) | 2.73143 | + | 15.4907i | 0.0883407 | + | 0.501005i | ||||
\(957\) | −5.57532 | − | 9.65674i | −0.180225 | − | 0.312158i | ||||
\(958\) | −15.9278 | + | 27.5878i | −0.514605 | + | 0.891322i | ||||
\(959\) | 21.8259 | + | 7.94399i | 0.704796 | + | 0.256525i | ||||
\(960\) | 1.11334 | + | 0.405223i | 0.0359329 | + | 0.0130785i | ||||
\(961\) | −15.9346 | + | 27.5996i | −0.514021 | + | 0.890310i | ||||
\(962\) | −0.0825961 | − | 0.143061i | −0.00266300 | − | 0.00461246i | ||||
\(963\) | −1.82383 | − | 10.3434i | −0.0587720 | − | 0.333312i | ||||
\(964\) | 7.54710 | + | 6.33277i | 0.243076 | + | 0.203965i | ||||
\(965\) | −8.61334 | + | 7.22745i | −0.277273 | + | 0.232660i | ||||
\(966\) | 0.302004 | − | 1.71275i | 0.00971681 | − | 0.0551068i | ||||
\(967\) | −15.4941 | + | 5.63938i | −0.498256 | + | 0.181350i | −0.578909 | − | 0.815392i | \(-0.696521\pi\) |
0.0806536 | + | 0.996742i | \(0.474299\pi\) | |||||||
\(968\) | 9.59627 | 0.308436 | ||||||||
\(969\) | −9.07145 | + | 3.45150i | −0.291417 | + | 0.110878i | ||||
\(970\) | 15.3010 | 0.491284 | ||||||||
\(971\) | −41.8803 | + | 15.2432i | −1.34400 | + | 0.489177i | −0.911071 | − | 0.412249i | \(-0.864743\pi\) |
−0.432932 | + | 0.901426i | \(0.642521\pi\) | |||||||
\(972\) | 0.173648 | − | 0.984808i | 0.00556977 | − | 0.0315877i | ||||
\(973\) | 17.4021 | − | 14.6021i | 0.557887 | − | 0.468123i | ||||
\(974\) | 15.1270 | + | 12.6931i | 0.484701 | + | 0.406712i | ||||
\(975\) | −1.60741 | − | 9.11608i | −0.0514784 | − | 0.291948i | ||||
\(976\) | −3.90033 | − | 6.75557i | −0.124847 | − | 0.216241i | ||||
\(977\) | −15.7049 | + | 27.2016i | −0.502443 | + | 0.870257i | 0.497553 | + | 0.867434i | \(0.334232\pi\) |
−0.999996 | + | 0.00282321i | \(0.999101\pi\) | |||||||
\(978\) | −2.95084 | − | 1.07402i | −0.0943574 | − | 0.0343433i | ||||
\(979\) | −13.8182 | − | 5.02941i | −0.441632 | − | 0.160741i | ||||
\(980\) | −2.87030 | + | 4.97151i | −0.0916884 | + | 0.158809i | ||||
\(981\) | 4.02094 | + | 6.96448i | 0.128379 | + | 0.222359i | ||||
\(982\) | 5.06758 | + | 28.7397i | 0.161713 | + | 0.917120i | ||||
\(983\) | −22.2592 | − | 18.6777i | −0.709959 | − | 0.595727i | 0.214628 | − | 0.976696i | \(-0.431146\pi\) |
−0.924588 | + | 0.380969i | \(0.875590\pi\) | |||||||
\(984\) | −7.41534 | + | 6.22221i | −0.236393 | + | 0.198357i | ||||
\(985\) | −1.46797 | + | 8.32526i | −0.0467733 | + | 0.265265i | ||||
\(986\) | 19.6925 | − | 7.16750i | 0.627138 | − | 0.228260i | ||||
\(987\) | 7.14115 | 0.227305 | ||||||||
\(988\) | −5.46838 | + | 9.79687i | −0.173972 | + | 0.311680i | ||||
\(989\) | −8.58853 | −0.273099 | ||||||||
\(990\) | −1.31908 | + | 0.480105i | −0.0419230 | + | 0.0152587i | ||||
\(991\) | 0.686137 | − | 3.89127i | 0.0217959 | − | 0.123610i | −0.971969 | − | 0.235111i | \(-0.924455\pi\) |
0.993764 | + | 0.111501i | \(0.0355657\pi\) | |||||||
\(992\) | 6.07398 | − | 5.09667i | 0.192849 | − | 0.161820i | ||||
\(993\) | 20.5626 | + | 17.2541i | 0.652534 | + | 0.547541i | ||||
\(994\) | 3.73127 | + | 21.1611i | 0.118349 | + | 0.671188i | ||||
\(995\) | −10.5162 | − | 18.2146i | −0.333386 | − | 0.577441i | ||||
\(996\) | −1.94949 | + | 3.37662i | −0.0617720 | + | 0.106992i | ||||
\(997\) | 44.2139 | + | 16.0926i | 1.40027 | + | 0.509656i | 0.928258 | − | 0.371936i | \(-0.121306\pi\) |
0.472011 | + | 0.881592i | \(0.343528\pi\) | |||||||
\(998\) | −5.05943 | − | 1.84148i | −0.160153 | − | 0.0582911i | ||||
\(999\) | 0.0320889 | − | 0.0555796i | 0.00101525 | − | 0.00175846i |
(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 | 114.2.i.a.43.1 | ✓ | 6 | |
3.2 | odd | 2 | 342.2.u.e.271.1 | 6 | |||
4.3 | odd | 2 | 912.2.bo.a.385.1 | 6 | |||
19.2 | odd | 18 | 2166.2.a.s.1.2 | 3 | |||
19.4 | even | 9 | inner | 114.2.i.a.61.1 | yes | 6 | |
19.17 | even | 9 | 2166.2.a.q.1.2 | 3 | |||
57.2 | even | 18 | 6498.2.a.bm.1.2 | 3 | |||
57.17 | odd | 18 | 6498.2.a.br.1.2 | 3 | |||
57.23 | odd | 18 | 342.2.u.e.289.1 | 6 | |||
76.23 | odd | 18 | 912.2.bo.a.289.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.a.43.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
114.2.i.a.61.1 | yes | 6 | 19.4 | even | 9 | inner | |
342.2.u.e.271.1 | 6 | 3.2 | odd | 2 | |||
342.2.u.e.289.1 | 6 | 57.23 | odd | 18 | |||
912.2.bo.a.289.1 | 6 | 76.23 | odd | 18 | |||
912.2.bo.a.385.1 | 6 | 4.3 | odd | 2 | |||
2166.2.a.q.1.2 | 3 | 19.17 | even | 9 | |||
2166.2.a.s.1.2 | 3 | 19.2 | odd | 18 | |||
6498.2.a.bm.1.2 | 3 | 57.2 | even | 18 | |||
6498.2.a.br.1.2 | 3 | 57.17 | odd | 18 |