Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
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("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 133.1 | ||
Root | \(0.959493 + 0.281733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.133 |
Dual form | 138.2.e.d.55.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.959493 | + | 0.281733i | 0.678464 | + | 0.199215i | ||||
\(3\) | 0.654861 | − | 0.755750i | 0.378084 | − | 0.436332i | ||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.0651865 | + | 0.453382i | −0.0291523 | + | 0.202759i | −0.999192 | − | 0.0401871i | \(-0.987205\pi\) |
0.970040 | + | 0.242946i | \(0.0781137\pi\) | |||||||
\(6\) | 0.841254 | − | 0.540641i | 0.343440 | − | 0.220716i | ||||
\(7\) | −0.134858 | − | 0.295298i | −0.0509716 | − | 0.111612i | 0.882433 | − | 0.470439i | \(-0.155904\pi\) |
−0.933404 | + | 0.358826i | \(0.883177\pi\) | |||||||
\(8\) | 0.654861 | + | 0.755750i | 0.231528 | + | 0.267198i | ||||
\(9\) | −0.142315 | − | 0.989821i | −0.0474383 | − | 0.329940i | ||||
\(10\) | −0.190279 | + | 0.416652i | −0.0601714 | + | 0.131757i | ||||
\(11\) | −2.38745 | + | 0.701020i | −0.719844 | + | 0.211365i | −0.621082 | − | 0.783746i | \(-0.713307\pi\) |
−0.0987625 | + | 0.995111i | \(0.531488\pi\) | |||||||
\(12\) | 0.959493 | − | 0.281733i | 0.276982 | − | 0.0813292i | ||||
\(13\) | 0.564582 | − | 1.23626i | 0.156587 | − | 0.342878i | −0.815037 | − | 0.579409i | \(-0.803283\pi\) |
0.971624 | + | 0.236531i | \(0.0760106\pi\) | |||||||
\(14\) | −0.0462003 | − | 0.321330i | −0.0123476 | − | 0.0858792i | ||||
\(15\) | 0.299955 | + | 0.346167i | 0.0774481 | + | 0.0893799i | ||||
\(16\) | 0.415415 | + | 0.909632i | 0.103854 | + | 0.227408i | ||||
\(17\) | −2.26811 | + | 1.45762i | −0.550097 | + | 0.353526i | −0.785976 | − | 0.618256i | \(-0.787839\pi\) |
0.235879 | + | 0.971782i | \(0.424203\pi\) | |||||||
\(18\) | 0.142315 | − | 0.989821i | 0.0335439 | − | 0.233303i | ||||
\(19\) | −2.43450 | − | 1.56456i | −0.558512 | − | 0.358934i | 0.230728 | − | 0.973018i | \(-0.425889\pi\) |
−0.789241 | + | 0.614084i | \(0.789526\pi\) | |||||||
\(20\) | −0.299955 | + | 0.346167i | −0.0670720 | + | 0.0774053i | ||||
\(21\) | −0.311485 | − | 0.0914602i | −0.0679716 | − | 0.0199583i | ||||
\(22\) | −2.48825 | −0.530496 | ||||||||
\(23\) | −4.35491 | + | 2.00868i | −0.908061 | + | 0.418839i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 4.59616 | + | 1.34955i | 0.919232 | + | 0.269911i | ||||
\(26\) | 0.890008 | − | 1.02712i | 0.174545 | − | 0.201436i | ||||
\(27\) | −0.841254 | − | 0.540641i | −0.161899 | − | 0.104046i | ||||
\(28\) | 0.0462003 | − | 0.321330i | 0.00873105 | − | 0.0607258i | ||||
\(29\) | −1.83493 | + | 1.17924i | −0.340738 | + | 0.218979i | −0.699807 | − | 0.714332i | \(-0.746731\pi\) |
0.359069 | + | 0.933311i | \(0.383094\pi\) | |||||||
\(30\) | 0.190279 | + | 0.416652i | 0.0347399 | + | 0.0760699i | ||||
\(31\) | −1.61291 | − | 1.86139i | −0.289686 | − | 0.334316i | 0.592188 | − | 0.805799i | \(-0.298264\pi\) |
−0.881875 | + | 0.471484i | \(0.843719\pi\) | |||||||
\(32\) | 0.142315 | + | 0.989821i | 0.0251579 | + | 0.174977i | ||||
\(33\) | −1.03365 | + | 2.26339i | −0.179936 | + | 0.394005i | ||||
\(34\) | −2.58689 | + | 0.759581i | −0.443649 | + | 0.130267i | ||||
\(35\) | 0.142674 | − | 0.0418928i | 0.0241163 | − | 0.00708118i | ||||
\(36\) | 0.415415 | − | 0.909632i | 0.0692358 | − | 0.151605i | ||||
\(37\) | −0.0683786 | − | 0.475583i | −0.0112414 | − | 0.0781854i | 0.983428 | − | 0.181297i | \(-0.0580294\pi\) |
−0.994670 | + | 0.103111i | \(0.967120\pi\) | |||||||
\(38\) | −1.89510 | − | 2.18706i | −0.307425 | − | 0.354788i | ||||
\(39\) | −0.564582 | − | 1.23626i | −0.0904055 | − | 0.197961i | ||||
\(40\) | −0.385331 | + | 0.247638i | −0.0609263 | + | 0.0391549i | ||||
\(41\) | −0.120602 | + | 0.838807i | −0.0188349 | + | 0.131000i | −0.997069 | − | 0.0765031i | \(-0.975624\pi\) |
0.978234 | + | 0.207503i | \(0.0665336\pi\) | |||||||
\(42\) | −0.273100 | − | 0.175511i | −0.0421403 | − | 0.0270819i | ||||
\(43\) | 5.76770 | − | 6.65628i | 0.879565 | − | 1.01507i | −0.120185 | − | 0.992751i | \(-0.538349\pi\) |
0.999751 | − | 0.0223211i | \(-0.00710563\pi\) | |||||||
\(44\) | −2.38745 | − | 0.701020i | −0.359922 | − | 0.105683i | ||||
\(45\) | 0.458044 | 0.0682812 | ||||||||
\(46\) | −4.74441 | + | 0.700397i | −0.699525 | + | 0.103268i | ||||
\(47\) | −2.71406 | −0.395886 | −0.197943 | − | 0.980214i | \(-0.563426\pi\) | ||||
−0.197943 | + | 0.980214i | \(0.563426\pi\) | |||||||
\(48\) | 0.959493 | + | 0.281733i | 0.138491 | + | 0.0406646i | ||||
\(49\) | 4.51501 | − | 5.21060i | 0.645002 | − | 0.744371i | ||||
\(50\) | 4.02977 | + | 2.58978i | 0.569895 | + | 0.366250i | ||||
\(51\) | −0.383696 | + | 2.66866i | −0.0537282 | + | 0.373688i | ||||
\(52\) | 1.14333 | − | 0.734774i | 0.158552 | − | 0.101895i | ||||
\(53\) | 3.62496 | + | 7.93756i | 0.497927 | + | 1.09031i | 0.977138 | + | 0.212608i | \(0.0681958\pi\) |
−0.479210 | + | 0.877700i | \(0.659077\pi\) | |||||||
\(54\) | −0.654861 | − | 0.755750i | −0.0891153 | − | 0.102844i | ||||
\(55\) | −0.162200 | − | 1.12813i | −0.0218711 | − | 0.152116i | ||||
\(56\) | 0.134858 | − | 0.295298i | 0.0180212 | − | 0.0394609i | ||||
\(57\) | −2.77667 | + | 0.815304i | −0.367779 | + | 0.107990i | ||||
\(58\) | −2.09283 | + | 0.614511i | −0.274802 | + | 0.0806893i | ||||
\(59\) | 4.52108 | − | 9.89978i | 0.588594 | − | 1.28884i | −0.347694 | − | 0.937608i | \(-0.613035\pi\) |
0.936288 | − | 0.351233i | \(-0.114238\pi\) | |||||||
\(60\) | 0.0651865 | + | 0.453382i | 0.00841554 | + | 0.0585314i | ||||
\(61\) | 7.89921 | + | 9.11618i | 1.01139 | + | 1.16721i | 0.985866 | + | 0.167533i | \(0.0535801\pi\) |
0.0255243 | + | 0.999674i | \(0.491874\pi\) | |||||||
\(62\) | −1.02316 | − | 2.24040i | −0.129941 | − | 0.284531i | ||||
\(63\) | −0.273100 | + | 0.175511i | −0.0344074 | + | 0.0221123i | ||||
\(64\) | −0.142315 | + | 0.989821i | −0.0177894 | + | 0.123728i | ||||
\(65\) | 0.523697 | + | 0.336559i | 0.0649566 | + | 0.0417450i | ||||
\(66\) | −1.62945 | + | 1.88049i | −0.200572 | + | 0.231472i | ||||
\(67\) | −10.1378 | − | 2.97673i | −1.23853 | − | 0.363665i | −0.404067 | − | 0.914730i | \(-0.632404\pi\) |
−0.834463 | + | 0.551065i | \(0.814222\pi\) | |||||||
\(68\) | −2.69611 | −0.326951 | ||||||||
\(69\) | −1.33380 | + | 4.60662i | −0.160570 | + | 0.554572i | ||||
\(70\) | 0.148697 | 0.0177727 | ||||||||
\(71\) | 15.7422 | + | 4.62233i | 1.86826 | + | 0.548570i | 0.998480 | + | 0.0551238i | \(0.0175554\pi\) |
0.869777 | + | 0.493446i | \(0.164263\pi\) | |||||||
\(72\) | 0.654861 | − | 0.755750i | 0.0771761 | − | 0.0890659i | ||||
\(73\) | 9.89520 | + | 6.35926i | 1.15814 | + | 0.744295i | 0.971245 | − | 0.238084i | \(-0.0765194\pi\) |
0.186900 | + | 0.982379i | \(0.440156\pi\) | |||||||
\(74\) | 0.0683786 | − | 0.475583i | 0.00794885 | − | 0.0552854i | ||||
\(75\) | 4.02977 | − | 2.58978i | 0.465318 | − | 0.299041i | ||||
\(76\) | −1.20217 | − | 2.63238i | −0.137898 | − | 0.301955i | ||||
\(77\) | 0.528978 | + | 0.610473i | 0.0602826 | + | 0.0695698i | ||||
\(78\) | −0.193417 | − | 1.34525i | −0.0219002 | − | 0.152319i | ||||
\(79\) | −4.45637 | + | 9.75808i | −0.501380 | + | 1.09787i | 0.474638 | + | 0.880181i | \(0.342579\pi\) |
−0.976018 | + | 0.217689i | \(0.930148\pi\) | |||||||
\(80\) | −0.439490 | + | 0.129046i | −0.0491365 | + | 0.0144278i | ||||
\(81\) | −0.959493 | + | 0.281733i | −0.106610 | + | 0.0313036i | ||||
\(82\) | −0.352036 | + | 0.770851i | −0.0388759 | + | 0.0851263i | ||||
\(83\) | −1.15039 | − | 8.00114i | −0.126272 | − | 0.878240i | −0.950221 | − | 0.311576i | \(-0.899143\pi\) |
0.823949 | − | 0.566663i | \(-0.191766\pi\) | |||||||
\(84\) | −0.212591 | − | 0.245343i | −0.0231955 | − | 0.0267691i | ||||
\(85\) | −0.513011 | − | 1.12334i | −0.0556439 | − | 0.121843i | ||||
\(86\) | 7.40935 | − | 4.76170i | 0.798971 | − | 0.513468i | ||||
\(87\) | −0.310415 | + | 2.15898i | −0.0332800 | + | 0.231467i | ||||
\(88\) | −2.09325 | − | 1.34525i | −0.223141 | − | 0.143404i | ||||
\(89\) | 6.74394 | − | 7.78292i | 0.714856 | − | 0.824988i | −0.275822 | − | 0.961209i | \(-0.588950\pi\) |
0.990679 | + | 0.136220i | \(0.0434955\pi\) | |||||||
\(90\) | 0.439490 | + | 0.129046i | 0.0463264 | + | 0.0136026i | ||||
\(91\) | −0.441205 | −0.0462508 | ||||||||
\(92\) | −4.74955 | − | 0.664630i | −0.495175 | − | 0.0692924i | ||||
\(93\) | −2.46297 | −0.255399 | ||||||||
\(94\) | −2.60412 | − | 0.764638i | −0.268594 | − | 0.0788664i | ||||
\(95\) | 0.868039 | − | 1.00177i | 0.0890589 | − | 0.102779i | ||||
\(96\) | 0.841254 | + | 0.540641i | 0.0858601 | + | 0.0551789i | ||||
\(97\) | 0.0319166 | − | 0.221985i | 0.00324064 | − | 0.0225392i | −0.988137 | − | 0.153575i | \(-0.950921\pi\) |
0.991378 | + | 0.131036i | \(0.0418304\pi\) | |||||||
\(98\) | 5.80012 | − | 3.72751i | 0.585900 | − | 0.376535i | ||||
\(99\) | 1.03365 | + | 2.26339i | 0.103886 | + | 0.227479i | ||||
\(100\) | 3.13691 | + | 3.62019i | 0.313691 | + | 0.362019i | ||||
\(101\) | −1.52215 | − | 10.5868i | −0.151460 | − | 1.05342i | −0.913775 | − | 0.406220i | \(-0.866847\pi\) |
0.762316 | − | 0.647205i | \(-0.224062\pi\) | |||||||
\(102\) | −1.12000 | + | 2.45246i | −0.110897 | + | 0.242830i | ||||
\(103\) | −1.94475 | + | 0.571031i | −0.191622 | + | 0.0562653i | −0.376135 | − | 0.926565i | \(-0.622747\pi\) |
0.184513 | + | 0.982830i | \(0.440929\pi\) | |||||||
\(104\) | 1.30403 | − | 0.382897i | 0.127870 | − | 0.0375462i | ||||
\(105\) | 0.0617710 | − | 0.135260i | 0.00602824 | − | 0.0132000i | ||||
\(106\) | 1.24186 | + | 8.63731i | 0.120620 | + | 0.838930i | ||||
\(107\) | −1.41996 | − | 1.63873i | −0.137273 | − | 0.158422i | 0.682950 | − | 0.730465i | \(-0.260696\pi\) |
−0.820224 | + | 0.572043i | \(0.806151\pi\) | |||||||
\(108\) | −0.415415 | − | 0.909632i | −0.0399733 | − | 0.0875294i | ||||
\(109\) | −7.08241 | + | 4.55159i | −0.678372 | + | 0.435963i | −0.833935 | − | 0.551863i | \(-0.813917\pi\) |
0.155563 | + | 0.987826i | \(0.450281\pi\) | |||||||
\(110\) | 0.162200 | − | 1.12813i | 0.0154652 | − | 0.107563i | ||||
\(111\) | −0.404200 | − | 0.259764i | −0.0383650 | − | 0.0246557i | ||||
\(112\) | 0.212591 | − | 0.245343i | 0.0200879 | − | 0.0231827i | ||||
\(113\) | −0.186034 | − | 0.0546244i | −0.0175006 | − | 0.00513863i | 0.272971 | − | 0.962022i | \(-0.411994\pi\) |
−0.290471 | + | 0.956884i | \(0.593812\pi\) | |||||||
\(114\) | −2.89389 | −0.271038 | ||||||||
\(115\) | −0.626819 | − | 2.10538i | −0.0584512 | − | 0.196327i | ||||
\(116\) | −2.18119 | −0.202518 | ||||||||
\(117\) | −1.30403 | − | 0.382897i | −0.120557 | − | 0.0353989i | ||||
\(118\) | 7.12703 | − | 8.22504i | 0.656097 | − | 0.757176i | ||||
\(119\) | 0.736307 | + | 0.473196i | 0.0674971 | + | 0.0433778i | ||||
\(120\) | −0.0651865 | + | 0.453382i | −0.00595069 | + | 0.0413879i | ||||
\(121\) | −4.04528 | + | 2.59974i | −0.367753 | + | 0.236340i | ||||
\(122\) | 5.01092 | + | 10.9724i | 0.453667 | + | 0.993392i | ||||
\(123\) | 0.554950 | + | 0.640447i | 0.0500382 | + | 0.0577471i | ||||
\(124\) | −0.350518 | − | 2.43790i | −0.0314774 | − | 0.218930i | ||||
\(125\) | −1.86286 | + | 4.07910i | −0.166620 | + | 0.364846i | ||||
\(126\) | −0.311485 | + | 0.0914602i | −0.0277493 | + | 0.00814792i | ||||
\(127\) | −12.4055 | + | 3.64259i | −1.10081 | + | 0.323228i | −0.781175 | − | 0.624312i | \(-0.785379\pi\) |
−0.319638 | + | 0.947540i | \(0.603561\pi\) | |||||||
\(128\) | −0.415415 | + | 0.909632i | −0.0367178 | + | 0.0804009i | ||||
\(129\) | −1.25344 | − | 8.71787i | −0.110359 | − | 0.767565i | ||||
\(130\) | 0.407663 | + | 0.470469i | 0.0357544 | + | 0.0412628i | ||||
\(131\) | −2.44775 | − | 5.35982i | −0.213861 | − | 0.468289i | 0.772050 | − | 0.635562i | \(-0.219231\pi\) |
−0.985911 | + | 0.167272i | \(0.946504\pi\) | |||||||
\(132\) | −2.09325 | + | 1.34525i | −0.182194 | + | 0.117089i | ||||
\(133\) | −0.133699 | + | 0.929896i | −0.0115932 | + | 0.0806322i | ||||
\(134\) | −8.88851 | − | 5.71230i | −0.767850 | − | 0.493467i | ||||
\(135\) | 0.299955 | − | 0.346167i | 0.0258160 | − | 0.0297933i | ||||
\(136\) | −2.58689 | − | 0.759581i | −0.221824 | − | 0.0651335i | ||||
\(137\) | −16.2119 | −1.38508 | −0.692538 | − | 0.721381i | \(-0.743508\pi\) | ||||
−0.692538 | + | 0.721381i | \(0.743508\pi\) | |||||||
\(138\) | −2.57760 | + | 4.04425i | −0.219420 | + | 0.344269i | ||||
\(139\) | −19.6328 | −1.66524 | −0.832618 | − | 0.553848i | \(-0.813159\pi\) | ||||
−0.832618 | + | 0.553848i | \(0.813159\pi\) | |||||||
\(140\) | 0.142674 | + | 0.0418928i | 0.0120581 | + | 0.00354059i | ||||
\(141\) | −1.77733 | + | 2.05115i | −0.149678 | + | 0.172738i | ||||
\(142\) | 13.8023 | + | 8.87018i | 1.15826 | + | 0.744369i | ||||
\(143\) | −0.481270 | + | 3.34730i | −0.0402458 | + | 0.279916i | ||||
\(144\) | 0.841254 | − | 0.540641i | 0.0701045 | − | 0.0450534i | ||||
\(145\) | −0.415033 | − | 0.908795i | −0.0344666 | − | 0.0754713i | ||||
\(146\) | 7.70276 | + | 8.88946i | 0.637485 | + | 0.735697i | ||||
\(147\) | −0.981206 | − | 6.82444i | −0.0809285 | − | 0.562870i | ||||
\(148\) | 0.199596 | − | 0.437054i | 0.0164067 | − | 0.0359256i | ||||
\(149\) | −3.05112 | + | 0.895889i | −0.249957 | + | 0.0733941i | −0.404311 | − | 0.914622i | \(-0.632489\pi\) |
0.154354 | + | 0.988016i | \(0.450670\pi\) | |||||||
\(150\) | 4.59616 | − | 1.34955i | 0.375275 | − | 0.110191i | ||||
\(151\) | −0.529537 | + | 1.15953i | −0.0430931 | + | 0.0943608i | −0.929954 | − | 0.367675i | \(-0.880154\pi\) |
0.886861 | + | 0.462036i | \(0.152881\pi\) | |||||||
\(152\) | −0.411844 | − | 2.86444i | −0.0334050 | − | 0.232337i | ||||
\(153\) | 1.76557 | + | 2.03758i | 0.142738 | + | 0.164729i | ||||
\(154\) | 0.335560 | + | 0.734774i | 0.0270402 | + | 0.0592098i | ||||
\(155\) | 0.949062 | − | 0.609925i | 0.0762305 | − | 0.0489903i | ||||
\(156\) | 0.193417 | − | 1.34525i | 0.0154858 | − | 0.107706i | ||||
\(157\) | −14.5837 | − | 9.37238i | −1.16391 | − | 0.747998i | −0.191547 | − | 0.981483i | \(-0.561350\pi\) |
−0.972360 | + | 0.233486i | \(0.924987\pi\) | |||||||
\(158\) | −7.02502 | + | 8.10731i | −0.558881 | + | 0.644983i | ||||
\(159\) | 8.37266 | + | 2.45843i | 0.663995 | + | 0.194967i | ||||
\(160\) | −0.458044 | −0.0362116 | ||||||||
\(161\) | 1.18045 | + | 1.01511i | 0.0930328 | + | 0.0800018i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 5.05886 | + | 1.48542i | 0.396241 | + | 0.116347i | 0.473782 | − | 0.880642i | \(-0.342889\pi\) |
−0.0775408 | + | 0.996989i | \(0.524707\pi\) | |||||||
\(164\) | −0.554950 | + | 0.640447i | −0.0433343 | + | 0.0500105i | ||||
\(165\) | −0.958799 | − | 0.616183i | −0.0746424 | − | 0.0479698i | ||||
\(166\) | 1.15039 | − | 8.00114i | 0.0892876 | − | 0.621009i | ||||
\(167\) | −2.48840 | + | 1.59920i | −0.192558 | + | 0.123749i | −0.633367 | − | 0.773851i | \(-0.718328\pi\) |
0.440810 | + | 0.897601i | \(0.354691\pi\) | |||||||
\(168\) | −0.134858 | − | 0.295298i | −0.0104045 | − | 0.0227828i | ||||
\(169\) | 7.30360 | + | 8.42880i | 0.561815 | + | 0.648369i | ||||
\(170\) | −0.175750 | − | 1.22237i | −0.0134794 | − | 0.0937512i | ||||
\(171\) | −1.20217 | + | 2.63238i | −0.0919320 | + | 0.201303i | ||||
\(172\) | 8.45075 | − | 2.48136i | 0.644364 | − | 0.189202i | ||||
\(173\) | −3.96538 | + | 1.16434i | −0.301482 | + | 0.0885232i | −0.428975 | − | 0.903316i | \(-0.641125\pi\) |
0.127493 | + | 0.991840i | \(0.459307\pi\) | |||||||
\(174\) | −0.906098 | + | 1.98408i | −0.0686911 | + | 0.150412i | ||||
\(175\) | −0.221309 | − | 1.53924i | −0.0167294 | − | 0.116355i | ||||
\(176\) | −1.62945 | − | 1.88049i | −0.122825 | − | 0.141747i | ||||
\(177\) | −4.52108 | − | 9.89978i | −0.339825 | − | 0.744113i | ||||
\(178\) | 8.66347 | − | 5.56767i | 0.649354 | − | 0.417315i | ||||
\(179\) | −1.44265 | + | 10.0338i | −0.107829 | + | 0.749965i | 0.862129 | + | 0.506689i | \(0.169131\pi\) |
−0.969957 | + | 0.243275i | \(0.921778\pi\) | |||||||
\(180\) | 0.385331 | + | 0.247638i | 0.0287209 | + | 0.0184578i | ||||
\(181\) | 17.4442 | − | 20.1316i | 1.29661 | − | 1.49637i | 0.541655 | − | 0.840601i | \(-0.317798\pi\) |
0.754959 | − | 0.655772i | \(-0.227657\pi\) | |||||||
\(182\) | −0.423333 | − | 0.124302i | −0.0313795 | − | 0.00921386i | ||||
\(183\) | 12.0624 | 0.891681 | ||||||||
\(184\) | −4.36992 | − | 1.97581i | −0.322155 | − | 0.145659i | ||||
\(185\) | 0.220078 | 0.0161805 | ||||||||
\(186\) | −2.36321 | − | 0.693900i | −0.173279 | − | 0.0508792i | ||||
\(187\) | 4.39318 | − | 5.07000i | 0.321261 | − | 0.370755i | ||||
\(188\) | −2.28321 | − | 1.46733i | −0.166520 | − | 0.107016i | ||||
\(189\) | −0.0462003 | + | 0.321330i | −0.00336058 | + | 0.0233734i | ||||
\(190\) | 1.11511 | − | 0.716637i | 0.0808985 | − | 0.0519903i | ||||
\(191\) | 9.71754 | + | 21.2784i | 0.703136 | + | 1.53965i | 0.836127 | + | 0.548536i | \(0.184815\pi\) |
−0.132991 | + | 0.991117i | \(0.542458\pi\) | |||||||
\(192\) | 0.654861 | + | 0.755750i | 0.0472605 | + | 0.0545415i | ||||
\(193\) | −0.856252 | − | 5.95536i | −0.0616344 | − | 0.428676i | −0.997153 | − | 0.0754000i | \(-0.975977\pi\) |
0.935519 | − | 0.353276i | \(-0.114932\pi\) | |||||||
\(194\) | 0.0931641 | − | 0.204001i | 0.00668880 | − | 0.0146464i | ||||
\(195\) | 0.597303 | − | 0.175384i | 0.0427737 | − | 0.0125595i | ||||
\(196\) | 6.61533 | − | 1.94244i | 0.472524 | − | 0.138745i | ||||
\(197\) | 6.42396 | − | 14.0665i | 0.457688 | − | 1.00220i | −0.530320 | − | 0.847797i | \(-0.677928\pi\) |
0.988008 | − | 0.154400i | \(-0.0493445\pi\) | |||||||
\(198\) | 0.354114 | + | 2.46292i | 0.0251658 | + | 0.175032i | ||||
\(199\) | 7.66908 | + | 8.85059i | 0.543647 | + | 0.627402i | 0.959391 | − | 0.282080i | \(-0.0910243\pi\) |
−0.415744 | + | 0.909482i | \(0.636479\pi\) | |||||||
\(200\) | 1.98992 | + | 4.35731i | 0.140709 | + | 0.308109i | ||||
\(201\) | −8.88851 | + | 5.71230i | −0.626947 | + | 0.402914i | ||||
\(202\) | 1.52215 | − | 10.5868i | 0.107098 | − | 0.744884i | ||||
\(203\) | 0.595682 | + | 0.382822i | 0.0418087 | + | 0.0268688i | ||||
\(204\) | −1.76557 | + | 2.03758i | −0.123615 | + | 0.142659i | ||||
\(205\) | −0.372438 | − | 0.109358i | −0.0260122 | − | 0.00763788i | ||||
\(206\) | −2.02685 | −0.141218 | ||||||||
\(207\) | 2.60800 | + | 4.02471i | 0.181269 | + | 0.279737i | ||||
\(208\) | 1.35908 | 0.0942353 | ||||||||
\(209\) | 6.90904 | + | 2.02868i | 0.477908 | + | 0.140327i | ||||
\(210\) | 0.0973759 | − | 0.112378i | 0.00671958 | − | 0.00775481i | ||||
\(211\) | 8.98039 | + | 5.77135i | 0.618236 | + | 0.397316i | 0.811937 | − | 0.583745i | \(-0.198413\pi\) |
−0.193702 | + | 0.981060i | \(0.562049\pi\) | |||||||
\(212\) | −1.24186 | + | 8.63731i | −0.0852911 | + | 0.593213i | ||||
\(213\) | 13.8023 | − | 8.87018i | 0.945716 | − | 0.607775i | ||||
\(214\) | −0.900763 | − | 1.97240i | −0.0615749 | − | 0.134830i | ||||
\(215\) | 2.64186 | + | 3.04887i | 0.180173 | + | 0.207931i | ||||
\(216\) | −0.142315 | − | 0.989821i | −0.00968330 | − | 0.0673488i | ||||
\(217\) | −0.332152 | + | 0.727312i | −0.0225480 | + | 0.0493731i | ||||
\(218\) | −8.07785 | + | 2.37187i | −0.547101 | + | 0.160643i | ||||
\(219\) | 11.2860 | − | 3.31386i | 0.762636 | − | 0.223930i | ||||
\(220\) | 0.473460 | − | 1.03673i | 0.0319206 | − | 0.0698965i | ||||
\(221\) | 0.521474 | + | 3.62693i | 0.0350781 | + | 0.243974i | ||||
\(222\) | −0.314643 | − | 0.363118i | −0.0211175 | − | 0.0243709i | ||||
\(223\) | 3.14540 | + | 6.88747i | 0.210632 | + | 0.461219i | 0.985230 | − | 0.171234i | \(-0.0547754\pi\) |
−0.774599 | + | 0.632453i | \(0.782048\pi\) | |||||||
\(224\) | 0.273100 | − | 0.175511i | 0.0182473 | − | 0.0117268i | ||||
\(225\) | 0.681716 | − | 4.74144i | 0.0454477 | − | 0.316096i | ||||
\(226\) | −0.163109 | − | 0.104824i | −0.0108498 | − | 0.00697276i | ||||
\(227\) | 8.28049 | − | 9.55620i | 0.549596 | − | 0.634267i | −0.411193 | − | 0.911548i | \(-0.634888\pi\) |
0.960789 | + | 0.277281i | \(0.0894333\pi\) | |||||||
\(228\) | −2.77667 | − | 0.815304i | −0.183890 | − | 0.0539948i | ||||
\(229\) | −8.39479 | −0.554743 | −0.277372 | − | 0.960763i | \(-0.589463\pi\) | ||||
−0.277372 | + | 0.960763i | \(0.589463\pi\) | |||||||
\(230\) | −0.00827561 | − | 2.19669i | −0.000545678 | − | 0.144845i | ||||
\(231\) | 0.807771 | 0.0531474 | ||||||||
\(232\) | −2.09283 | − | 0.614511i | −0.137401 | − | 0.0403446i | ||||
\(233\) | −17.2108 | + | 19.8623i | −1.12752 | + | 1.30122i | −0.179231 | + | 0.983807i | \(0.557361\pi\) |
−0.948286 | + | 0.317417i | \(0.897184\pi\) | |||||||
\(234\) | −1.14333 | − | 0.734774i | −0.0747419 | − | 0.0480337i | ||||
\(235\) | 0.176920 | − | 1.23050i | 0.0115410 | − | 0.0802693i | ||||
\(236\) | 9.15560 | − | 5.88395i | 0.595979 | − | 0.383012i | ||||
\(237\) | 4.45637 | + | 9.75808i | 0.289472 | + | 0.633856i | ||||
\(238\) | 0.573167 | + | 0.661470i | 0.0371529 | + | 0.0428767i | ||||
\(239\) | −1.11770 | − | 7.77380i | −0.0722983 | − | 0.502846i | −0.993506 | − | 0.113776i | \(-0.963706\pi\) |
0.921208 | − | 0.389070i | \(-0.127204\pi\) | |||||||
\(240\) | −0.190279 | + | 0.416652i | −0.0122824 | + | 0.0268948i | ||||
\(241\) | 25.4306 | − | 7.46711i | 1.63813 | − | 0.480999i | 0.672324 | − | 0.740257i | \(-0.265296\pi\) |
0.965808 | + | 0.259258i | \(0.0834781\pi\) | |||||||
\(242\) | −4.61385 | + | 1.35475i | −0.296590 | + | 0.0870866i | ||||
\(243\) | −0.415415 | + | 0.909632i | −0.0266489 | + | 0.0583529i | ||||
\(244\) | 1.71666 | + | 11.9397i | 0.109898 | + | 0.764358i | ||||
\(245\) | 2.06808 | + | 2.38669i | 0.132125 | + | 0.152480i | ||||
\(246\) | 0.352036 | + | 0.770851i | 0.0224450 | + | 0.0491477i | ||||
\(247\) | −3.30868 | + | 2.12636i | −0.210526 | + | 0.135297i | ||||
\(248\) | 0.350518 | − | 2.43790i | 0.0222579 | − | 0.154807i | ||||
\(249\) | −6.80021 | − | 4.37023i | −0.430946 | − | 0.276952i | ||||
\(250\) | −2.93662 | + | 3.38904i | −0.185728 | + | 0.214342i | ||||
\(251\) | 17.3220 | + | 5.08620i | 1.09336 | + | 0.321038i | 0.778210 | − | 0.628005i | \(-0.216128\pi\) |
0.315147 | + | 0.949043i | \(0.397946\pi\) | |||||||
\(252\) | −0.324635 | −0.0204501 | ||||||||
\(253\) | 8.98901 | − | 7.84851i | 0.565134 | − | 0.493431i | ||||
\(254\) | −12.9293 | −0.811253 | ||||||||
\(255\) | −1.18491 | − | 0.347922i | −0.0742021 | − | 0.0217877i | ||||
\(256\) | −0.654861 | + | 0.755750i | −0.0409288 | + | 0.0472343i | ||||
\(257\) | −19.2275 | − | 12.3568i | −1.19938 | − | 0.770794i | −0.220531 | − | 0.975380i | \(-0.570779\pi\) |
−0.978849 | + | 0.204586i | \(0.934415\pi\) | |||||||
\(258\) | 1.25344 | − | 8.71787i | 0.0780358 | − | 0.542751i | ||||
\(259\) | −0.131217 | + | 0.0843284i | −0.00815346 | + | 0.00523991i | ||||
\(260\) | 0.258604 | + | 0.566263i | 0.0160379 | + | 0.0351182i | ||||
\(261\) | 1.42837 | + | 1.64843i | 0.0884141 | + | 0.102035i | ||||
\(262\) | −0.838560 | − | 5.83232i | −0.0518064 | − | 0.360322i | ||||
\(263\) | −7.73481 | + | 16.9369i | −0.476949 | + | 1.04437i | 0.506343 | + | 0.862332i | \(0.330997\pi\) |
−0.983291 | + | 0.182039i | \(0.941730\pi\) | |||||||
\(264\) | −2.38745 | + | 0.701020i | −0.146938 | + | 0.0431448i | ||||
\(265\) | −3.83505 | + | 1.12607i | −0.235585 | + | 0.0691741i | ||||
\(266\) | −0.390265 | + | 0.854562i | −0.0239287 | + | 0.0523965i | ||||
\(267\) | −1.46560 | − | 10.1935i | −0.0896932 | − | 0.623830i | ||||
\(268\) | −6.91912 | − | 7.98509i | −0.422653 | − | 0.487767i | ||||
\(269\) | 0.327653 | + | 0.717460i | 0.0199774 | + | 0.0437443i | 0.919358 | − | 0.393423i | \(-0.128709\pi\) |
−0.899380 | + | 0.437167i | \(0.855982\pi\) | |||||||
\(270\) | 0.385331 | − | 0.247638i | 0.0234505 | − | 0.0150707i | ||||
\(271\) | −4.17271 | + | 29.0218i | −0.253474 | + | 1.76295i | 0.323540 | + | 0.946215i | \(0.395127\pi\) |
−0.577013 | + | 0.816735i | \(0.695782\pi\) | |||||||
\(272\) | −2.26811 | − | 1.45762i | −0.137524 | − | 0.0883815i | ||||
\(273\) | −0.288928 | + | 0.333440i | −0.0174867 | + | 0.0201807i | ||||
\(274\) | −15.5552 | − | 4.56742i | −0.939725 | − | 0.275928i | ||||
\(275\) | −11.9192 | −0.718754 | ||||||||
\(276\) | −3.61259 | + | 3.15423i | −0.217452 | + | 0.189863i | ||||
\(277\) | −25.4356 | −1.52828 | −0.764138 | − | 0.645053i | \(-0.776835\pi\) | ||||
−0.764138 | + | 0.645053i | \(0.776835\pi\) | |||||||
\(278\) | −18.8376 | − | 5.53121i | −1.12980 | − | 0.331740i | ||||
\(279\) | −1.61291 | + | 1.86139i | −0.0965621 | + | 0.111439i | ||||
\(280\) | 0.125092 | + | 0.0803918i | 0.00747568 | + | 0.00480433i | ||||
\(281\) | 3.35608 | − | 23.3420i | 0.200207 | − | 1.39247i | −0.603462 | − | 0.797391i | \(-0.706213\pi\) |
0.803669 | − | 0.595077i | \(-0.202878\pi\) | |||||||
\(282\) | −2.28321 | + | 1.46733i | −0.135963 | + | 0.0873782i | ||||
\(283\) | −11.0626 | − | 24.2237i | −0.657602 | − | 1.43995i | −0.884740 | − | 0.466085i | \(-0.845664\pi\) |
0.227138 | − | 0.973863i | \(-0.427063\pi\) | |||||||
\(284\) | 10.7442 | + | 12.3994i | 0.637549 | + | 0.735771i | ||||
\(285\) | −0.188643 | − | 1.31204i | −0.0111742 | − | 0.0777185i | ||||
\(286\) | −1.40482 | + | 3.07613i | −0.0830687 | + | 0.181895i | ||||
\(287\) | 0.263962 | − | 0.0775063i | 0.0155812 | − | 0.00457505i | ||||
\(288\) | 0.959493 | − | 0.281733i | 0.0565387 | − | 0.0166013i | ||||
\(289\) | −4.04241 | + | 8.85164i | −0.237789 | + | 0.520685i | ||||
\(290\) | −0.142184 | − | 0.988911i | −0.00834933 | − | 0.0580709i | ||||
\(291\) | −0.146864 | − | 0.169490i | −0.00860932 | − | 0.00993569i | ||||
\(292\) | 4.88629 | + | 10.6995i | 0.285949 | + | 0.626140i | ||||
\(293\) | −5.54585 | + | 3.56410i | −0.323992 | + | 0.208217i | −0.692518 | − | 0.721400i | \(-0.743499\pi\) |
0.368526 | + | 0.929617i | \(0.379862\pi\) | |||||||
\(294\) | 0.981206 | − | 6.82444i | 0.0572251 | − | 0.398009i | ||||
\(295\) | 4.19367 | + | 2.69511i | 0.244165 | + | 0.156915i | ||||
\(296\) | 0.314643 | − | 0.363118i | 0.0182883 | − | 0.0211058i | ||||
\(297\) | 2.38745 | + | 0.701020i | 0.138534 | + | 0.0406773i | ||||
\(298\) | −3.17993 | −0.184208 | ||||||||
\(299\) | 0.0245549 | + | 6.51787i | 0.00142005 | + | 0.376938i | ||||
\(300\) | 4.79020 | 0.276562 | ||||||||
\(301\) | −2.74341 | − | 0.805537i | −0.158127 | − | 0.0464304i | ||||
\(302\) | −0.834763 | + | 0.963368i | −0.0480352 | + | 0.0554356i | ||||
\(303\) | −8.99776 | − | 5.78251i | −0.516908 | − | 0.332196i | ||||
\(304\) | 0.411844 | − | 2.86444i | 0.0236209 | − | 0.164287i | ||||
\(305\) | −4.64804 | + | 2.98711i | −0.266146 | + | 0.171041i | ||||
\(306\) | 1.12000 | + | 2.45246i | 0.0640263 | + | 0.140198i | ||||
\(307\) | −14.6003 | − | 16.8497i | −0.833285 | − | 0.961662i | 0.166417 | − | 0.986055i | \(-0.446780\pi\) |
−0.999702 | + | 0.0243932i | \(0.992235\pi\) | |||||||
\(308\) | 0.114958 | + | 0.799549i | 0.00655033 | + | 0.0455585i | ||||
\(309\) | −0.841985 | + | 1.84369i | −0.0478989 | + | 0.104884i | ||||
\(310\) | 1.08245 | − | 0.317837i | 0.0614792 | − | 0.0180519i | ||||
\(311\) | 12.3837 | − | 3.63618i | 0.702214 | − | 0.206189i | 0.0889146 | − | 0.996039i | \(-0.471660\pi\) |
0.613299 | + | 0.789851i | \(0.289842\pi\) | |||||||
\(312\) | 0.564582 | − | 1.23626i | 0.0319632 | − | 0.0699896i | ||||
\(313\) | 2.73568 | + | 19.0271i | 0.154630 | + | 1.07547i | 0.908330 | + | 0.418255i | \(0.137358\pi\) |
−0.753700 | + | 0.657219i | \(0.771733\pi\) | |||||||
\(314\) | −11.3525 | − | 13.1014i | −0.640657 | − | 0.739357i | ||||
\(315\) | −0.0617710 | − | 0.135260i | −0.00348040 | − | 0.00762102i | ||||
\(316\) | −9.02455 | + | 5.79973i | −0.507671 | + | 0.326260i | ||||
\(317\) | 1.52863 | − | 10.6319i | 0.0858564 | − | 0.597144i | −0.900788 | − | 0.434258i | \(-0.857011\pi\) |
0.986645 | − | 0.162886i | \(-0.0520803\pi\) | |||||||
\(318\) | 7.34089 | + | 4.71770i | 0.411656 | + | 0.264556i | ||||
\(319\) | 3.55414 | − | 4.10170i | 0.198994 | − | 0.229651i | ||||
\(320\) | −0.439490 | − | 0.129046i | −0.0245683 | − | 0.00721389i | ||||
\(321\) | −2.16835 | −0.121025 | ||||||||
\(322\) | 0.846649 | + | 1.30656i | 0.0471819 | + | 0.0728119i | ||||
\(323\) | 7.80224 | 0.434128 | ||||||||
\(324\) | −0.959493 | − | 0.281733i | −0.0533052 | − | 0.0156518i | ||||
\(325\) | 4.26331 | − | 4.92013i | 0.236486 | − | 0.272920i | ||||
\(326\) | 4.43545 | + | 2.85049i | 0.245657 | + | 0.157874i | ||||
\(327\) | −1.19813 | + | 8.33318i | −0.0662568 | + | 0.460826i | ||||
\(328\) | −0.712905 | + | 0.458156i | −0.0393636 | + | 0.0252975i | ||||
\(329\) | 0.366013 | + | 0.801456i | 0.0201789 | + | 0.0441857i | ||||
\(330\) | −0.746362 | − | 0.861348i | −0.0410859 | − | 0.0474157i | ||||
\(331\) | 2.49561 | + | 17.3573i | 0.137171 | + | 0.954045i | 0.935878 | + | 0.352324i | \(0.114609\pi\) |
−0.798707 | + | 0.601720i | \(0.794482\pi\) | |||||||
\(332\) | 3.35797 | − | 7.35294i | 0.184293 | − | 0.403545i | ||||
\(333\) | −0.461011 | + | 0.135365i | −0.0252633 | + | 0.00741796i | ||||
\(334\) | −2.83814 | + | 0.833354i | −0.155296 | + | 0.0455991i | ||||
\(335\) | 2.01044 | − | 4.40226i | 0.109842 | − | 0.240521i | ||||
\(336\) | −0.0462003 | − | 0.321330i | −0.00252044 | − | 0.0175300i | ||||
\(337\) | 8.65628 | + | 9.98988i | 0.471538 | + | 0.544184i | 0.940839 | − | 0.338855i | \(-0.110040\pi\) |
−0.469301 | + | 0.883038i | \(0.655494\pi\) | |||||||
\(338\) | 4.63308 | + | 10.1450i | 0.252006 | + | 0.551817i | ||||
\(339\) | −0.163109 | + | 0.104824i | −0.00885884 | + | 0.00569323i | ||||
\(340\) | 0.175750 | − | 1.22237i | 0.00953137 | − | 0.0662921i | ||||
\(341\) | 5.15561 | + | 3.31331i | 0.279192 | + | 0.179426i | ||||
\(342\) | −1.89510 | + | 2.18706i | −0.102475 | + | 0.118263i | ||||
\(343\) | −4.32796 | − | 1.27080i | −0.233688 | − | 0.0686170i | ||||
\(344\) | 8.80752 | 0.474869 | ||||||||
\(345\) | −2.00162 | − | 0.905010i | −0.107763 | − | 0.0487241i | ||||
\(346\) | −4.13279 | −0.222180 | ||||||||
\(347\) | 15.3250 | + | 4.49983i | 0.822690 | + | 0.241564i | 0.665874 | − | 0.746064i | \(-0.268059\pi\) |
0.156816 | + | 0.987628i | \(0.449877\pi\) | |||||||
\(348\) | −1.42837 | + | 1.64843i | −0.0765688 | + | 0.0883652i | ||||
\(349\) | 2.41073 | + | 1.54928i | 0.129043 | + | 0.0829311i | 0.603570 | − | 0.797310i | \(-0.293744\pi\) |
−0.474527 | + | 0.880241i | \(0.657381\pi\) | |||||||
\(350\) | 0.221309 | − | 1.53924i | 0.0118294 | − | 0.0822756i | ||||
\(351\) | −1.14333 | + | 0.734774i | −0.0610265 | + | 0.0392194i | ||||
\(352\) | −1.03365 | − | 2.26339i | −0.0550940 | − | 0.120639i | ||||
\(353\) | −5.27311 | − | 6.08549i | −0.280659 | − | 0.323898i | 0.597864 | − | 0.801597i | \(-0.296016\pi\) |
−0.878523 | + | 0.477700i | \(0.841471\pi\) | |||||||
\(354\) | −1.54885 | − | 10.7725i | −0.0823206 | − | 0.572552i | ||||
\(355\) | −3.12186 | + | 6.83592i | −0.165691 | + | 0.362813i | ||||
\(356\) | 9.88113 | − | 2.90136i | 0.523699 | − | 0.153772i | ||||
\(357\) | 0.839796 | − | 0.246586i | 0.0444467 | − | 0.0130507i | ||||
\(358\) | −4.21107 | + | 9.22096i | −0.222562 | + | 0.487343i | ||||
\(359\) | −1.11880 | − | 7.78141i | −0.0590479 | − | 0.410687i | −0.997811 | − | 0.0661249i | \(-0.978936\pi\) |
0.938763 | − | 0.344562i | \(-0.111973\pi\) | |||||||
\(360\) | 0.299955 | + | 0.346167i | 0.0158090 | + | 0.0182446i | ||||
\(361\) | −4.41394 | − | 9.66518i | −0.232313 | − | 0.508694i | ||||
\(362\) | 22.4093 | − | 14.4016i | 1.17781 | − | 0.756930i | ||||
\(363\) | −0.684340 | + | 4.75969i | −0.0359185 | + | 0.249819i | ||||
\(364\) | −0.371165 | − | 0.238533i | −0.0194543 | − | 0.0125025i | ||||
\(365\) | −3.52821 | + | 4.07177i | −0.184675 | + | 0.213126i | ||||
\(366\) | 11.5738 | + | 3.39838i | 0.604973 | + | 0.177636i | ||||
\(367\) | 13.9011 | 0.725631 | 0.362816 | − | 0.931861i | \(-0.381816\pi\) | ||||
0.362816 | + | 0.931861i | \(0.381816\pi\) | |||||||
\(368\) | −3.63625 | − | 3.12693i | −0.189553 | − | 0.163002i | ||||
\(369\) | 0.847432 | 0.0441156 | ||||||||
\(370\) | 0.211164 | + | 0.0620032i | 0.0109779 | + | 0.00322339i | ||||
\(371\) | 1.85509 | − | 2.14089i | 0.0963116 | − | 0.111150i | ||||
\(372\) | −2.07199 | − | 1.33158i | −0.107427 | − | 0.0690394i | ||||
\(373\) | 1.37506 | − | 9.56372i | 0.0711977 | − | 0.495191i | −0.922755 | − | 0.385386i | \(-0.874068\pi\) |
0.993953 | − | 0.109805i | \(-0.0350226\pi\) | |||||||
\(374\) | 5.64361 | − | 3.62693i | 0.291824 | − | 0.187544i | ||||
\(375\) | 1.86286 | + | 4.07910i | 0.0961979 | + | 0.210644i | ||||
\(376\) | −1.77733 | − | 2.05115i | −0.0916587 | − | 0.105780i | ||||
\(377\) | 0.421879 | + | 2.93423i | 0.0217279 | + | 0.151121i | ||||
\(378\) | −0.134858 | + | 0.295298i | −0.00693636 | + | 0.0151885i | ||||
\(379\) | 19.1257 | − | 5.61580i | 0.982419 | − | 0.288464i | 0.249197 | − | 0.968453i | \(-0.419833\pi\) |
0.733223 | + | 0.679989i | \(0.238015\pi\) | |||||||
\(380\) | 1.27184 | − | 0.373446i | 0.0652440 | − | 0.0191574i | ||||
\(381\) | −5.37101 | + | 11.7609i | −0.275165 | + | 0.602527i | ||||
\(382\) | 3.32908 | + | 23.1543i | 0.170331 | + | 1.18467i | ||||
\(383\) | −18.3187 | − | 21.1409i | −0.936043 | − | 1.08025i | −0.996625 | − | 0.0820878i | \(-0.973841\pi\) |
0.0605823 | − | 0.998163i | \(-0.480704\pi\) | |||||||
\(384\) | 0.415415 | + | 0.909632i | 0.0211991 | + | 0.0464195i | ||||
\(385\) | −0.311260 | + | 0.200034i | −0.0158633 | + | 0.0101947i | ||||
\(386\) | 0.856252 | − | 5.95536i | 0.0435821 | − | 0.303120i | ||||
\(387\) | −7.40935 | − | 4.76170i | −0.376639 | − | 0.242051i | ||||
\(388\) | 0.146864 | − | 0.169490i | 0.00745589 | − | 0.00860456i | ||||
\(389\) | 25.4067 | + | 7.46007i | 1.28817 | + | 0.378240i | 0.852907 | − | 0.522064i | \(-0.174838\pi\) |
0.435262 | + | 0.900304i | \(0.356656\pi\) | |||||||
\(390\) | 0.622519 | 0.0315225 | ||||||||
\(391\) | 6.94949 | − | 10.9037i | 0.351451 | − | 0.551425i | ||||
\(392\) | 6.89461 | 0.348231 | ||||||||
\(393\) | −5.65361 | − | 1.66005i | −0.285187 | − | 0.0837385i | ||||
\(394\) | 10.1267 | − | 11.6869i | 0.510178 | − | 0.588777i | ||||
\(395\) | −4.13365 | − | 2.65653i | −0.207986 | − | 0.133665i | ||||
\(396\) | −0.354114 | + | 2.46292i | −0.0177949 | + | 0.123766i | ||||
\(397\) | −13.8368 | + | 8.89236i | −0.694448 | + | 0.446295i | −0.839665 | − | 0.543105i | \(-0.817248\pi\) |
0.145216 | + | 0.989400i | \(0.453612\pi\) | |||||||
\(398\) | 4.86493 | + | 10.6527i | 0.243857 | + | 0.533972i | ||||
\(399\) | 0.615215 | + | 0.709996i | 0.0307993 | + | 0.0355442i | ||||
\(400\) | 0.681716 | + | 4.74144i | 0.0340858 | + | 0.237072i | ||||
\(401\) | 8.40890 | − | 18.4129i | 0.419920 | − | 0.919497i | −0.574936 | − | 0.818198i | \(-0.694973\pi\) |
0.994856 | − | 0.101298i | \(-0.0322997\pi\) | |||||||
\(402\) | −10.1378 | + | 2.97673i | −0.505627 | + | 0.148466i | ||||
\(403\) | −3.21179 | + | 0.943066i | −0.159991 | + | 0.0469775i | ||||
\(404\) | 4.44314 | − | 9.72911i | 0.221054 | − | 0.484041i | ||||
\(405\) | −0.0651865 | − | 0.453382i | −0.00323914 | − | 0.0225287i | ||||
\(406\) | 0.463700 | + | 0.535138i | 0.0230130 | + | 0.0265584i | ||||
\(407\) | 0.496644 | + | 1.08750i | 0.0246177 | + | 0.0539053i | ||||
\(408\) | −2.26811 | + | 1.45762i | −0.112288 | + | 0.0721632i | ||||
\(409\) | −2.48089 | + | 17.2550i | −0.122672 | + | 0.853204i | 0.831836 | + | 0.555021i | \(0.187290\pi\) |
−0.954509 | + | 0.298183i | \(0.903619\pi\) | |||||||
\(410\) | −0.326542 | − | 0.209856i | −0.0161268 | − | 0.0103641i | ||||
\(411\) | −10.6165 | + | 12.2521i | −0.523675 | + | 0.604354i | ||||
\(412\) | −1.94475 | − | 0.571031i | −0.0958110 | − | 0.0281327i | ||||
\(413\) | −3.53309 | −0.173852 | ||||||||
\(414\) | 1.36847 | + | 4.59644i | 0.0672565 | + | 0.225903i | ||||
\(415\) | 3.70257 | 0.181752 | ||||||||
\(416\) | 1.30403 | + | 0.382897i | 0.0639352 | + | 0.0187731i | ||||
\(417\) | −12.8568 | + | 14.8375i | −0.629599 | + | 0.726596i | ||||
\(418\) | 6.05763 | + | 3.89300i | 0.296288 | + | 0.190413i | ||||
\(419\) | 2.34268 | − | 16.2937i | 0.114447 | − | 0.795998i | −0.849056 | − | 0.528303i | \(-0.822829\pi\) |
0.963503 | − | 0.267696i | \(-0.0862622\pi\) | |||||||
\(420\) | 0.125092 | − | 0.0803918i | 0.00610387 | − | 0.00392272i | ||||
\(421\) | −12.8684 | − | 28.1779i | −0.627169 | − | 1.37331i | −0.910189 | − | 0.414194i | \(-0.864064\pi\) |
0.283020 | − | 0.959114i | \(-0.408664\pi\) | |||||||
\(422\) | 6.99065 | + | 8.06764i | 0.340299 | + | 0.392726i | ||||
\(423\) | 0.386250 | + | 2.68643i | 0.0187801 | + | 0.130619i | ||||
\(424\) | −3.62496 | + | 7.93756i | −0.176044 | + | 0.385482i | ||||
\(425\) | −12.3917 | + | 3.63854i | −0.601087 | + | 0.176495i | ||||
\(426\) | 15.7422 | − | 4.62233i | 0.762712 | − | 0.223953i | ||||
\(427\) | 1.62672 | − | 3.56202i | 0.0787224 | − | 0.172378i | ||||
\(428\) | −0.308588 | − | 2.14627i | −0.0149162 | − | 0.103744i | ||||
\(429\) | 2.21456 | + | 2.55574i | 0.106920 | + | 0.123392i | ||||
\(430\) | 1.67588 | + | 3.66967i | 0.0808182 | + | 0.176967i | ||||
\(431\) | −15.4083 | + | 9.90232i | −0.742192 | + | 0.476978i | −0.856292 | − | 0.516491i | \(-0.827238\pi\) |
0.114100 | + | 0.993469i | \(0.463601\pi\) | |||||||
\(432\) | 0.142315 | − | 0.989821i | 0.00684713 | − | 0.0476228i | ||||
\(433\) | 12.7448 | + | 8.19061i | 0.612478 | + | 0.393616i | 0.809785 | − | 0.586726i | \(-0.199583\pi\) |
−0.197308 | + | 0.980342i | \(0.563220\pi\) | |||||||
\(434\) | −0.523605 | + | 0.604273i | −0.0251339 | + | 0.0290060i | ||||
\(435\) | −0.958610 | − | 0.281473i | −0.0459619 | − | 0.0134956i | ||||
\(436\) | −8.41887 | −0.403191 | ||||||||
\(437\) | 13.7447 | + | 1.92337i | 0.657499 | + | 0.0920072i | ||||
\(438\) | 11.7624 | 0.562031 | ||||||||
\(439\) | −5.59553 | − | 1.64300i | −0.267060 | − | 0.0784159i | 0.145461 | − | 0.989364i | \(-0.453533\pi\) |
−0.412521 | + | 0.910948i | \(0.635352\pi\) | |||||||
\(440\) | 0.746362 | − | 0.861348i | 0.0355814 | − | 0.0410632i | ||||
\(441\) | −5.80012 | − | 3.72751i | −0.276196 | − | 0.177500i | ||||
\(442\) | −0.521474 | + | 3.62693i | −0.0248040 | + | 0.172515i | ||||
\(443\) | −14.5928 | + | 9.37820i | −0.693323 | + | 0.445572i | −0.839266 | − | 0.543721i | \(-0.817015\pi\) |
0.145943 | + | 0.989293i | \(0.453378\pi\) | |||||||
\(444\) | −0.199596 | − | 0.437054i | −0.00947241 | − | 0.0207417i | ||||
\(445\) | 3.08902 | + | 3.56492i | 0.146434 | + | 0.168994i | ||||
\(446\) | 1.07757 | + | 7.49464i | 0.0510242 | + | 0.354881i | ||||
\(447\) | −1.32099 | + | 2.89256i | −0.0624807 | + | 0.136814i | ||||
\(448\) | 0.311485 | − | 0.0914602i | 0.0147163 | − | 0.00432109i | ||||
\(449\) | 17.7555 | − | 5.21348i | 0.837932 | − | 0.246039i | 0.165511 | − | 0.986208i | \(-0.447073\pi\) |
0.672421 | + | 0.740169i | \(0.265254\pi\) | |||||||
\(450\) | 1.98992 | − | 4.35731i | 0.0938057 | − | 0.205406i | ||||
\(451\) | −0.300088 | − | 2.08716i | −0.0141306 | − | 0.0982804i | ||||
\(452\) | −0.126969 | − | 0.146530i | −0.00597214 | − | 0.00689221i | ||||
\(453\) | 0.529537 | + | 1.15953i | 0.0248798 | + | 0.0544792i | ||||
\(454\) | 10.6374 | − | 6.83622i | 0.499236 | − | 0.320840i | ||||
\(455\) | 0.0287606 | − | 0.200034i | 0.00134832 | − | 0.00937776i | ||||
\(456\) | −2.43450 | − | 1.56456i | −0.114006 | − | 0.0732671i | ||||
\(457\) | 3.77320 | − | 4.35450i | 0.176503 | − | 0.203695i | −0.660604 | − | 0.750734i | \(-0.729700\pi\) |
0.837107 | + | 0.547039i | \(0.184245\pi\) | |||||||
\(458\) | −8.05474 | − | 2.36508i | −0.376373 | − | 0.110513i | ||||
\(459\) | 2.69611 | 0.125843 | ||||||||
\(460\) | 0.610938 | − | 2.11004i | 0.0284851 | − | 0.0983811i | ||||
\(461\) | 22.5329 | 1.04946 | 0.524730 | − | 0.851269i | \(-0.324166\pi\) | ||||
0.524730 | + | 0.851269i | \(0.324166\pi\) | |||||||
\(462\) | 0.775051 | + | 0.227575i | 0.0360586 | + | 0.0105878i | ||||
\(463\) | 19.6456 | − | 22.6722i | 0.913009 | − | 1.05367i | −0.0853472 | − | 0.996351i | \(-0.527200\pi\) |
0.998356 | − | 0.0573171i | \(-0.0182546\pi\) | |||||||
\(464\) | −1.83493 | − | 1.17924i | −0.0851845 | − | 0.0547448i | ||||
\(465\) | 0.160553 | − | 1.11667i | 0.00744545 | − | 0.0517843i | ||||
\(466\) | −22.1095 | + | 14.2089i | −1.02420 | + | 0.658215i | ||||
\(467\) | −4.83680 | − | 10.5911i | −0.223821 | − | 0.490099i | 0.764093 | − | 0.645107i | \(-0.223187\pi\) |
−0.987913 | + | 0.155008i | \(0.950460\pi\) | |||||||
\(468\) | −0.890008 | − | 1.02712i | −0.0411407 | − | 0.0474788i | ||||
\(469\) | 0.488143 | + | 3.39511i | 0.0225404 | + | 0.156772i | ||||
\(470\) | 0.516427 | − | 1.13082i | 0.0238210 | − | 0.0521607i | ||||
\(471\) | −16.6335 | + | 4.88403i | −0.766430 | + | 0.225044i | ||||
\(472\) | 10.4424 | − | 3.06617i | 0.480652 | − | 0.141132i | ||||
\(473\) | −9.10393 | + | 19.9348i | −0.418599 | + | 0.916604i | ||||
\(474\) | 1.52668 | + | 10.6183i | 0.0701229 | + | 0.487715i | ||||
\(475\) | −9.07789 | − | 10.4764i | −0.416522 | − | 0.480692i | ||||
\(476\) | 0.363592 | + | 0.796155i | 0.0166652 | + | 0.0364917i | ||||
\(477\) | 7.34089 | − | 4.71770i | 0.336116 | − | 0.216009i | ||||
\(478\) | 1.11770 | − | 7.77380i | 0.0511226 | − | 0.355565i | ||||
\(479\) | 11.2218 | + | 7.21182i | 0.512738 | + | 0.329517i | 0.771293 | − | 0.636480i | \(-0.219610\pi\) |
−0.258556 | + | 0.965996i | \(0.583246\pi\) | |||||||
\(480\) | −0.299955 | + | 0.346167i | −0.0136910 | + | 0.0158003i | ||||
\(481\) | −0.626551 | − | 0.183972i | −0.0285683 | − | 0.00838841i | ||||
\(482\) | 26.5043 | 1.20724 | ||||||||
\(483\) | 1.54020 | − | 0.227373i | 0.0700816 | − | 0.0103458i | ||||
\(484\) | −4.80864 | −0.218574 | ||||||||
\(485\) | 0.0985635 | + | 0.0289408i | 0.00447554 | + | 0.00131414i | ||||
\(486\) | −0.654861 | + | 0.755750i | −0.0297051 | + | 0.0342815i | ||||
\(487\) | −11.3740 | − | 7.30962i | −0.515405 | − | 0.331231i | 0.256947 | − | 0.966425i | \(-0.417283\pi\) |
−0.772352 | + | 0.635195i | \(0.780920\pi\) | |||||||
\(488\) | −1.71666 | + | 11.9397i | −0.0777097 | + | 0.540483i | ||||
\(489\) | 4.43545 | − | 2.85049i | 0.200578 | − | 0.128904i | ||||
\(490\) | 1.31190 | + | 2.87265i | 0.0592655 | + | 0.129773i | ||||
\(491\) | −26.8145 | − | 30.9455i | −1.21012 | − | 1.39655i | −0.894140 | − | 0.447787i | \(-0.852212\pi\) |
−0.315979 | − | 0.948766i | \(-0.602333\pi\) | |||||||
\(492\) | 0.120602 | + | 0.838807i | 0.00543717 | + | 0.0378163i | ||||
\(493\) | 2.44293 | − | 5.34928i | 0.110024 | − | 0.240919i | ||||
\(494\) | −3.77372 | + | 1.10806i | −0.169788 | + | 0.0498542i | ||||
\(495\) | −1.09356 | + | 0.321098i | −0.0491519 | + | 0.0144323i | ||||
\(496\) | 1.02316 | − | 2.24040i | 0.0459411 | − | 0.100597i | ||||
\(497\) | −0.758000 | − | 5.27200i | −0.0340009 | − | 0.236482i | ||||
\(498\) | −5.29352 | − | 6.10904i | −0.237208 | − | 0.273753i | ||||
\(499\) | 8.88711 | + | 19.4601i | 0.397842 | + | 0.871152i | 0.997485 | + | 0.0708840i | \(0.0225820\pi\) |
−0.599643 | + | 0.800268i | \(0.704691\pi\) | |||||||
\(500\) | −3.77247 | + | 2.42442i | −0.168710 | + | 0.108423i | ||||
\(501\) | −0.420962 | + | 2.92785i | −0.0188072 | + | 0.130807i | ||||
\(502\) | 15.1874 | + | 9.76036i | 0.677847 | + | 0.435626i | ||||
\(503\) | −14.2265 | + | 16.4183i | −0.634330 | + | 0.732055i | −0.978362 | − | 0.206903i | \(-0.933662\pi\) |
0.344032 | + | 0.938958i | \(0.388207\pi\) | |||||||
\(504\) | −0.311485 | − | 0.0914602i | −0.0138746 | − | 0.00407396i | ||||
\(505\) | 4.89909 | 0.218006 | ||||||||
\(506\) | 10.8361 | − | 4.99809i | 0.481722 | − | 0.222192i | ||||
\(507\) | 11.1529 | 0.495318 | ||||||||
\(508\) | −12.4055 | − | 3.64259i | −0.550406 | − | 0.161614i | ||||
\(509\) | −20.5288 | + | 23.6915i | −0.909924 | + | 1.05011i | 0.0886141 | + | 0.996066i | \(0.471756\pi\) |
−0.998539 | + | 0.0540428i | \(0.982789\pi\) | |||||||
\(510\) | −1.03889 | − | 0.667657i | −0.0460030 | − | 0.0295643i | ||||
\(511\) | 0.543429 | − | 3.77963i | 0.0240399 | − | 0.167201i | ||||
\(512\) | −0.841254 | + | 0.540641i | −0.0371785 | + | 0.0238932i | ||||
\(513\) | 1.20217 | + | 2.63238i | 0.0530770 | + | 0.116222i | ||||
\(514\) | −14.9674 | − | 17.2732i | −0.660182 | − | 0.761890i | ||||
\(515\) | −0.132124 | − | 0.918939i | −0.00582206 | − | 0.0404933i | ||||
\(516\) | 3.65877 | − | 8.01160i | 0.161069 | − | 0.352691i | ||||
\(517\) | 6.47968 | − | 1.90261i | 0.284976 | − | 0.0836765i | ||||
\(518\) | −0.149660 | + | 0.0439442i | −0.00657570 | + | 0.00193080i | ||||
\(519\) | −1.71682 | + | 3.75932i | −0.0753602 | + | 0.165016i | ||||
\(520\) | 0.0885937 | + | 0.616183i | 0.00388509 | + | 0.0270214i | ||||
\(521\) | 5.97938 | + | 6.90057i | 0.261961 | + | 0.302319i | 0.871459 | − | 0.490468i | \(-0.163174\pi\) |
−0.609498 | + | 0.792788i | \(0.708629\pi\) | |||||||
\(522\) | 0.906098 | + | 1.98408i | 0.0396588 | + | 0.0868407i | ||||
\(523\) | 14.5013 | − | 9.31942i | 0.634098 | − | 0.407510i | −0.183727 | − | 0.982977i | \(-0.558816\pi\) |
0.817825 | + | 0.575468i | \(0.195180\pi\) | |||||||
\(524\) | 0.838560 | − | 5.83232i | 0.0366327 | − | 0.254786i | ||||
\(525\) | −1.30820 | − | 0.840731i | −0.0570947 | − | 0.0366925i | ||||
\(526\) | −12.1932 | + | 14.0717i | −0.531647 | + | 0.613553i | ||||
\(527\) | 6.37145 | + | 1.87083i | 0.277545 | + | 0.0814945i | ||||
\(528\) | −2.48825 | −0.108287 | ||||||||
\(529\) | 14.9304 | − | 17.4952i | 0.649148 | − | 0.760662i | ||||
\(530\) | −3.99695 | −0.173617 | ||||||||
\(531\) | −10.4424 | − | 3.06617i | −0.453163 | − | 0.133061i | ||||
\(532\) | −0.615215 | + | 0.709996i | −0.0266729 | + | 0.0307822i | ||||
\(533\) | 0.968896 | + | 0.622672i | 0.0419675 | + | 0.0269709i | ||||
\(534\) | 1.46560 | − | 10.1935i | 0.0634227 | − | 0.441114i | ||||
\(535\) | 0.835532 | − | 0.536964i | 0.0361232 | − | 0.0232150i | ||||
\(536\) | −4.38919 | − | 9.61098i | −0.189584 | − | 0.415131i | ||||
\(537\) | 6.63834 | + | 7.66105i | 0.286465 | + | 0.330599i | ||||
\(538\) | 0.112249 | + | 0.780708i | 0.00483939 | + | 0.0336587i | ||||
\(539\) | −7.12665 | + | 15.6052i | −0.306966 | + | 0.672163i | ||||
\(540\) | 0.439490 | − | 0.129046i | 0.0189127 | − | 0.00555326i | ||||
\(541\) | −41.0532 | + | 12.0543i | −1.76501 | + | 0.518255i | −0.993079 | − | 0.117446i | \(-0.962529\pi\) |
−0.771935 | + | 0.635701i | \(0.780711\pi\) | |||||||
\(542\) | −12.1801 | + | 26.6706i | −0.523179 | + | 1.14560i | ||||
\(543\) | −3.79098 | − | 26.3668i | −0.162686 | − | 1.13151i | ||||
\(544\) | −1.76557 | − | 2.03758i | −0.0756984 | − | 0.0873606i | ||||
\(545\) | −1.60193 | − | 3.50774i | −0.0686192 | − | 0.150255i | ||||
\(546\) | −0.371165 | + | 0.238533i | −0.0158844 | + | 0.0102083i | ||||
\(547\) | −2.55493 | + | 17.7699i | −0.109241 | + | 0.759786i | 0.859397 | + | 0.511309i | \(0.170839\pi\) |
−0.968638 | + | 0.248477i | \(0.920070\pi\) | |||||||
\(548\) | −13.6383 | − | 8.76482i | −0.582600 | − | 0.374414i | ||||
\(549\) | 7.89921 | − | 9.11618i | 0.337130 | − | 0.389069i | ||||
\(550\) | −11.4364 | − | 3.35802i | −0.487648 | − | 0.143187i | ||||
\(551\) | 6.31212 | 0.268905 | ||||||||
\(552\) | −4.35491 | + | 2.00868i | −0.185357 | + | 0.0854951i | ||||
\(553\) | 3.48252 | 0.148092 | ||||||||
\(554\) | −24.4053 | − | 7.16603i | −1.03688 | − | 0.304455i | ||||
\(555\) | 0.144121 | − | 0.166324i | 0.00611758 | − | 0.00706007i | ||||
\(556\) | −16.5162 | − | 10.6143i | −0.700443 | − | 0.450147i | ||||
\(557\) | −2.00861 | + | 13.9702i | −0.0851075 | + | 0.591936i | 0.901983 | + | 0.431772i | \(0.142111\pi\) |
−0.987090 | + | 0.160164i | \(0.948798\pi\) | |||||||
\(558\) | −2.07199 | + | 1.33158i | −0.0877142 | + | 0.0563705i | ||||
\(559\) | −4.97257 | − | 10.8884i | −0.210317 | − | 0.460531i | ||||
\(560\) | 0.0973759 | + | 0.112378i | 0.00411488 | + | 0.00474883i | ||||
\(561\) | −0.954729 | − | 6.64029i | −0.0403087 | − | 0.280353i | ||||
\(562\) | 9.79634 | − | 21.4510i | 0.413234 | − | 0.904855i | ||||
\(563\) | −21.3328 | + | 6.26389i | −0.899072 | + | 0.263991i | −0.698434 | − | 0.715674i | \(-0.746120\pi\) |
−0.200638 | + | 0.979665i | \(0.564301\pi\) | |||||||
\(564\) | −2.60412 | + | 0.764638i | −0.109653 | + | 0.0321971i | ||||
\(565\) | 0.0368926 | − | 0.0807836i | 0.00155209 | − | 0.00339859i | ||||
\(566\) | −3.78987 | − | 26.3591i | −0.159300 | − | 1.10796i | ||||
\(567\) | 0.212591 | + | 0.245343i | 0.00892797 | + | 0.0103034i | ||||
\(568\) | 6.81563 | + | 14.9241i | 0.285977 | + | 0.626203i | ||||
\(569\) | −11.0733 | + | 7.11640i | −0.464218 | + | 0.298335i | −0.751764 | − | 0.659432i | \(-0.770797\pi\) |
0.287546 | + | 0.957767i | \(0.407161\pi\) | |||||||
\(570\) | 0.188643 | − | 1.31204i | 0.00790138 | − | 0.0549553i | ||||
\(571\) | 17.6085 | + | 11.3163i | 0.736893 | + | 0.473573i | 0.854476 | − | 0.519490i | \(-0.173878\pi\) |
−0.117583 | + | 0.993063i | \(0.537515\pi\) | |||||||
\(572\) | −2.21456 | + | 2.55574i | −0.0925954 | + | 0.106861i | ||||
\(573\) | 22.4448 | + | 6.59039i | 0.937645 | + | 0.275317i | ||||
\(574\) | 0.275106 | 0.0114827 | ||||||||
\(575\) | −22.7267 | + | 3.35504i | −0.947767 | + | 0.139915i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 0.990929 | + | 0.290963i | 0.0412529 | + | 0.0121129i | 0.302294 | − | 0.953215i | \(-0.402248\pi\) |
−0.261041 | + | 0.965328i | \(0.584066\pi\) | |||||||
\(578\) | −6.37246 | + | 7.35421i | −0.265059 | + | 0.305895i | ||||
\(579\) | −5.06149 | − | 3.25282i | −0.210348 | − | 0.135183i | ||||
\(580\) | 0.142184 | − | 0.988911i | 0.00590387 | − | 0.0410623i | ||||
\(581\) | −2.20758 | + | 1.41873i | −0.0915860 | + | 0.0588588i | ||||
\(582\) | −0.0931641 | − | 0.204001i | −0.00386178 | − | 0.00845611i | ||||
\(583\) | −14.2188 | − | 16.4094i | −0.588884 | − | 0.679608i | ||||
\(584\) | 1.67397 | + | 11.6427i | 0.0692694 | + | 0.481779i | ||||
\(585\) | 0.258604 | − | 0.566263i | 0.0106920 | − | 0.0234121i | ||||
\(586\) | −6.32533 | + | 1.85728i | −0.261297 | + | 0.0767237i | ||||
\(587\) | 4.49531 | − | 1.31994i | 0.185541 | − | 0.0544798i | −0.187642 | − | 0.982237i | \(-0.560084\pi\) |
0.373183 | + | 0.927758i | \(0.378266\pi\) | |||||||
\(588\) | 2.86413 | − | 6.27156i | 0.118115 | − | 0.258635i | ||||
\(589\) | 1.01436 | + | 7.05504i | 0.0417960 | + | 0.290698i | ||||
\(590\) | 3.26450 | + | 3.76743i | 0.134397 | + | 0.155103i | ||||
\(591\) | −6.42396 | − | 14.0665i | −0.264246 | − | 0.578619i | ||||
\(592\) | 0.404200 | − | 0.259764i | 0.0166125 | − | 0.0106762i | ||||
\(593\) | 4.46279 | − | 31.0394i | 0.183265 | − | 1.27463i | −0.665714 | − | 0.746207i | \(-0.731873\pi\) |
0.848979 | − | 0.528427i | \(-0.177218\pi\) | |||||||
\(594\) | 2.09325 | + | 1.34525i | 0.0858869 | + | 0.0551962i | ||||
\(595\) | −0.262536 | + | 0.302982i | −0.0107629 | + | 0.0124211i | ||||
\(596\) | −3.05112 | − | 0.895889i | −0.124979 | − | 0.0366970i | ||||
\(597\) | 11.7110 | 0.479300 | ||||||||
\(598\) | −1.81274 | + | 6.26077i | −0.0741283 | + | 0.256022i | ||||
\(599\) | 27.2585 | 1.11375 | 0.556875 | − | 0.830596i | \(-0.312000\pi\) | ||||
0.556875 | + | 0.830596i | \(0.312000\pi\) | |||||||
\(600\) | 4.59616 | + | 1.34955i | 0.187637 | + | 0.0550953i | ||||
\(601\) | −11.3031 | + | 13.0444i | −0.461062 | + | 0.532094i | −0.937904 | − | 0.346895i | \(-0.887236\pi\) |
0.476842 | + | 0.878989i | \(0.341781\pi\) | |||||||
\(602\) | −2.40533 | − | 1.54581i | −0.0980341 | − | 0.0630027i | ||||
\(603\) | −1.50367 | + | 10.4582i | −0.0612341 | + | 0.425893i | ||||
\(604\) | −1.07236 | + | 0.689165i | −0.0436338 | + | 0.0280417i | ||||
\(605\) | −0.914980 | − | 2.00353i | −0.0371992 | − | 0.0814550i | ||||
\(606\) | −7.00416 | − | 8.08324i | −0.284525 | − | 0.328359i | ||||
\(607\) | 6.49805 | + | 45.1949i | 0.263748 | + | 1.83441i | 0.504011 | + | 0.863697i | \(0.331857\pi\) |
−0.240263 | + | 0.970708i | \(0.577234\pi\) | |||||||
\(608\) | 1.20217 | − | 2.63238i | 0.0487543 | − | 0.106757i | ||||
\(609\) | 0.679406 | − | 0.199492i | 0.0275309 | − | 0.00808381i | ||||
\(610\) | −5.30132 | + | 1.55661i | −0.214644 | + | 0.0630253i | ||||
\(611\) | −1.53231 | + | 3.35529i | −0.0619906 | + | 0.135740i | ||||
\(612\) | 0.383696 | + | 2.66866i | 0.0155100 | + | 0.107874i | ||||
\(613\) | 1.32116 | + | 1.52470i | 0.0533611 | + | 0.0615820i | 0.781803 | − | 0.623526i | \(-0.214300\pi\) |
−0.728441 | + | 0.685108i | \(0.759755\pi\) | |||||||
\(614\) | −9.26181 | − | 20.2805i | −0.373776 | − | 0.818456i | ||||
\(615\) | −0.326542 | + | 0.209856i | −0.0131675 | + | 0.00846221i | ||||
\(616\) | −0.114958 | + | 0.799549i | −0.00463178 | + | 0.0322148i | ||||
\(617\) | 31.5453 | + | 20.2730i | 1.26997 | + | 0.816159i | 0.989616 | − | 0.143739i | \(-0.0459125\pi\) |
0.280352 | + | 0.959897i | \(0.409549\pi\) | |||||||
\(618\) | −1.32731 | + | 1.53179i | −0.0533921 | + | 0.0616178i | ||||
\(619\) | −25.2336 | − | 7.40924i | −1.01422 | − | 0.297803i | −0.267943 | − | 0.963435i | \(-0.586344\pi\) |
−0.746280 | + | 0.665632i | \(0.768162\pi\) | |||||||
\(620\) | 1.12815 | 0.0453077 | ||||||||
\(621\) | 4.74955 | + | 0.664630i | 0.190593 | + | 0.0266707i | ||||
\(622\) | 12.9065 | 0.517503 | ||||||||
\(623\) | −3.20776 | − | 0.941883i | −0.128516 | − | 0.0377357i | ||||
\(624\) | 0.890008 | − | 1.02712i | 0.0356289 | − | 0.0411179i | ||||
\(625\) | 18.4209 | + | 11.8384i | 0.736835 | + | 0.473535i | ||||
\(626\) | −2.73568 | + | 19.0271i | −0.109340 | + | 0.760474i | ||||
\(627\) | 6.05763 | − | 3.89300i | 0.241918 | − | 0.155472i | ||||
\(628\) | −7.20151 | − | 15.7691i | −0.287371 | − | 0.629256i | ||||
\(629\) | 0.848312 | + | 0.979004i | 0.0338244 | + | 0.0390355i | ||||
\(630\) | −0.0211618 | − | 0.147184i | −0.000843107 | − | 0.00586394i | ||||
\(631\) | 8.49601 | − | 18.6037i | 0.338221 | − | 0.740600i | −0.661737 | − | 0.749736i | \(-0.730181\pi\) |
0.999958 | + | 0.00913542i | \(0.00290794\pi\) | |||||||
\(632\) | −10.2930 | + | 3.02229i | −0.409432 | + | 0.120220i | ||||
\(633\) | 10.2426 | − | 3.00750i | 0.407107 | − | 0.119537i | ||||
\(634\) | 4.46205 | − | 9.77052i | 0.177211 | − | 0.388037i | ||||
\(635\) | −0.842813 | − | 5.86189i | −0.0334460 | − | 0.232622i | ||||
\(636\) | 5.71440 | + | 6.59477i | 0.226591 | + | 0.261500i | ||||
\(637\) | −3.89258 | − | 8.52355i | −0.154230 | − | 0.337716i | ||||
\(638\) | 4.56576 | − | 2.93423i | 0.180760 | − | 0.116167i | ||||
\(639\) | 2.33493 | − | 16.2398i | 0.0923684 | − | 0.642437i | ||||
\(640\) | −0.385331 | − | 0.247638i | −0.0152316 | − | 0.00978873i | ||||
\(641\) | −18.6345 | + | 21.5053i | −0.736018 | + | 0.849410i | −0.993135 | − | 0.116970i | \(-0.962682\pi\) |
0.257117 | + | 0.966380i | \(0.417227\pi\) | |||||||
\(642\) | −2.08051 | − | 0.610893i | −0.0821113 | − | 0.0241100i | ||||
\(643\) | 35.1379 | 1.38570 | 0.692851 | − | 0.721080i | \(-0.256354\pi\) | ||||
0.692851 | + | 0.721080i | \(0.256354\pi\) | |||||||
\(644\) | 0.444252 | + | 1.49217i | 0.0175060 | + | 0.0587996i | ||||
\(645\) | 4.03423 | 0.158848 | ||||||||
\(646\) | 7.48620 | + | 2.19815i | 0.294541 | + | 0.0864849i | ||||
\(647\) | 8.02115 | − | 9.25690i | 0.315344 | − | 0.363926i | −0.575845 | − | 0.817559i | \(-0.695327\pi\) |
0.891189 | + | 0.453633i | \(0.149872\pi\) | |||||||
\(648\) | −0.841254 | − | 0.540641i | −0.0330476 | − | 0.0212384i | ||||
\(649\) | −3.85392 | + | 26.8046i | −0.151280 | + | 1.05217i | ||||
\(650\) | 5.47678 | − | 3.51971i | 0.214817 | − | 0.138054i | ||||
\(651\) | 0.332152 | + | 0.727312i | 0.0130181 | + | 0.0285056i | ||||
\(652\) | 3.45271 | + | 3.98464i | 0.135219 | + | 0.156051i | ||||
\(653\) | 3.40835 | + | 23.7056i | 0.133379 | + | 0.927671i | 0.941105 | + | 0.338113i | \(0.109789\pi\) |
−0.807726 | + | 0.589558i | \(0.799302\pi\) | |||||||
\(654\) | −3.49733 | + | 7.65808i | −0.136756 | + | 0.299454i | ||||
\(655\) | 2.58961 | − | 0.760377i | 0.101184 | − | 0.0297104i | ||||
\(656\) | −0.813105 | + | 0.238749i | −0.0317464 | + | 0.00932159i | ||||
\(657\) | 4.88629 | − | 10.6995i | 0.190633 | − | 0.417427i | ||||
\(658\) | 0.125390 | + | 0.872109i | 0.00488822 | + | 0.0339983i | ||||
\(659\) | 6.13650 | + | 7.08190i | 0.239044 | + | 0.275872i | 0.862577 | − | 0.505925i | \(-0.168849\pi\) |
−0.623533 | + | 0.781797i | \(0.714303\pi\) | |||||||
\(660\) | −0.473460 | − | 1.03673i | −0.0184294 | − | 0.0403547i | ||||
\(661\) | 17.3162 | − | 11.1284i | 0.673520 | − | 0.432845i | −0.158673 | − | 0.987331i | \(-0.550721\pi\) |
0.832193 | + | 0.554486i | \(0.187085\pi\) | |||||||
\(662\) | −2.49561 | + | 17.3573i | −0.0969945 | + | 0.674611i | ||||
\(663\) | 3.08254 | + | 1.98103i | 0.119716 | + | 0.0769368i | ||||
\(664\) | 5.29352 | − | 6.10904i | 0.205428 | − | 0.237077i | ||||
\(665\) | −0.412883 | − | 0.121233i | −0.0160109 | − | 0.00470123i | ||||
\(666\) | −0.480474 | −0.0186180 | ||||||||
\(667\) | 5.62224 | − | 8.82126i | 0.217694 | − | 0.341561i | ||||
\(668\) | −2.95796 | −0.114447 | ||||||||
\(669\) | 7.26500 | + | 2.13320i | 0.280881 | + | 0.0824741i | ||||
\(670\) | 3.16926 | − | 3.65753i | 0.122439 | − | 0.141303i | ||||
\(671\) | −25.2496 | − | 16.2270i | −0.974751 | − | 0.626435i | ||||
\(672\) | 0.0462003 | − | 0.321330i | 0.00178222 | − | 0.0123956i | ||||
\(673\) | −4.24556 | + | 2.72845i | −0.163654 | + | 0.105174i | −0.619904 | − | 0.784677i | \(-0.712829\pi\) |
0.456250 | + | 0.889852i | \(0.349192\pi\) | |||||||
\(674\) | 5.49117 | + | 12.0240i | 0.211512 | + | 0.463146i | ||||
\(675\) | −3.13691 | − | 3.62019i | −0.120740 | − | 0.139341i | ||||
\(676\) | 1.58722 | + | 11.0394i | 0.0610470 | + | 0.424592i | ||||
\(677\) | 14.9029 | − | 32.6328i | 0.572765 | − | 1.25418i | −0.372547 | − | 0.928013i | \(-0.621515\pi\) |
0.945312 | − | 0.326168i | \(-0.105757\pi\) | |||||||
\(678\) | −0.186034 | + | 0.0546244i | −0.00714458 | + | 0.00209784i | ||||
\(679\) | −0.0698560 | + | 0.0205116i | −0.00268083 | + | 0.000787161i | ||||
\(680\) | 0.513011 | − | 1.12334i | 0.0196731 | − | 0.0430780i | ||||
\(681\) | −1.79952 | − | 12.5160i | −0.0689579 | − | 0.479613i | ||||
\(682\) | 4.01330 | + | 4.63160i | 0.153677 | + | 0.177353i | ||||
\(683\) | 9.19582 | + | 20.1360i | 0.351868 | + | 0.770484i | 0.999960 | + | 0.00892206i | \(0.00284002\pi\) |
−0.648092 | + | 0.761562i | \(0.724433\pi\) | |||||||
\(684\) | −2.43450 | + | 1.56456i | −0.0930854 | + | 0.0598223i | ||||
\(685\) | 1.05680 | − | 7.35019i | 0.0403782 | − | 0.280836i | ||||
\(686\) | −3.79462 | − | 2.43865i | −0.144879 | − | 0.0931083i | ||||
\(687\) | −5.49742 | + | 6.34436i | −0.209739 | + | 0.242052i | ||||
\(688\) | 8.45075 | + | 2.48136i | 0.322182 | + | 0.0946011i | ||||
\(689\) | 11.8595 | 0.451811 | ||||||||
\(690\) | −1.66557 | − | 1.43227i | −0.0634070 | − | 0.0545256i | ||||
\(691\) | 19.2304 | 0.731560 | 0.365780 | − | 0.930701i | \(-0.380802\pi\) | ||||
0.365780 | + | 0.930701i | \(0.380802\pi\) | |||||||
\(692\) | −3.96538 | − | 1.16434i | −0.150741 | − | 0.0442616i | ||||
\(693\) | 0.528978 | − | 0.610473i | 0.0200942 | − | 0.0231899i | ||||
\(694\) | 13.4365 | + | 8.63512i | 0.510043 | + | 0.327784i | ||||
\(695\) | 1.27980 | − | 8.90118i | 0.0485455 | − | 0.337641i | ||||
\(696\) | −1.83493 | + | 1.17924i | −0.0695529 | + | 0.0446989i | ||||
\(697\) | −0.949126 | − | 2.07830i | −0.0359507 | − | 0.0787211i | ||||
\(698\) | 1.87659 | + | 2.16570i | 0.0710301 | + | 0.0819731i | ||||
\(699\) | 3.74026 | + | 26.0141i | 0.141470 | + | 0.983944i | ||||
\(700\) | 0.645997 | − | 1.41454i | 0.0244164 | − | 0.0534644i | ||||
\(701\) | 22.7658 | − | 6.68465i | 0.859853 | − | 0.252476i | 0.178059 | − | 0.984020i | \(-0.443018\pi\) |
0.681794 | + | 0.731544i | \(0.261200\pi\) | |||||||
\(702\) | −1.30403 | + | 0.382897i | −0.0492174 | + | 0.0144515i | ||||
\(703\) | −0.577610 | + | 1.26479i | −0.0217850 | + | 0.0477024i | ||||
\(704\) | −0.354114 | − | 2.46292i | −0.0133462 | − | 0.0928247i | ||||
\(705\) | −0.814095 | − | 0.939516i | −0.0306606 | − | 0.0353842i | ||||
\(706\) | −3.34503 | − | 7.32459i | −0.125892 | − | 0.275665i | ||||
\(707\) | −2.92099 | + | 1.87720i | −0.109855 | + | 0.0705995i | ||||
\(708\) | 1.54885 | − | 10.7725i | 0.0582094 | − | 0.404856i | ||||
\(709\) | −17.6711 | − | 11.3565i | −0.663653 | − | 0.426504i | 0.164980 | − | 0.986297i | \(-0.447244\pi\) |
−0.828632 | + | 0.559793i | \(0.810881\pi\) | |||||||
\(710\) | −4.92131 | + | 5.67949i | −0.184693 | + | 0.213147i | ||||
\(711\) | 10.2930 | + | 3.02229i | 0.386016 | + | 0.113345i | ||||
\(712\) | 10.2983 | 0.385945 | ||||||||
\(713\) | 10.7630 | + | 4.86637i | 0.403077 | + | 0.182247i | ||||
\(714\) | 0.875250 | 0.0327554 | ||||||||
\(715\) | −1.48624 | − | 0.436398i | −0.0555821 | − | 0.0163204i | ||||
\(716\) | −6.63834 | + | 7.66105i | −0.248086 | + | 0.286307i | ||||
\(717\) | −6.60699 | − | 4.24605i | −0.246743 | − | 0.158572i | ||||
\(718\) | 1.11880 | − | 7.78141i | 0.0417532 | − | 0.290400i | ||||
\(719\) | 10.3821 | − | 6.67218i | 0.387187 | − | 0.248830i | −0.332537 | − | 0.943090i | \(-0.607905\pi\) |
0.719724 | + | 0.694260i | \(0.244268\pi\) | |||||||
\(720\) | 0.190279 | + | 0.416652i | 0.00709126 | + | 0.0155277i | ||||
\(721\) | 0.430890 | + | 0.497274i | 0.0160472 | + | 0.0185194i | ||||
\(722\) | −1.51215 | − | 10.5172i | −0.0562763 | − | 0.391411i | ||||
\(723\) | 11.0103 | − | 24.1091i | 0.409476 | − | 0.896628i | ||||
\(724\) | 25.5589 | − | 7.50478i | 0.949891 | − | 0.278913i | ||||
\(725\) | −10.0251 | + | 2.94363i | −0.372322 | + | 0.109324i | ||||
\(726\) | −1.99758 | + | 4.37409i | −0.0741371 | + | 0.162338i | ||||
\(727\) | −1.68354 | − | 11.7093i | −0.0624390 | − | 0.434273i | −0.996931 | − | 0.0782882i | \(-0.975055\pi\) |
0.934492 | − | 0.355985i | \(-0.115855\pi\) | |||||||
\(728\) | −0.288928 | − | 0.333440i | −0.0107084 | − | 0.0123581i | ||||
\(729\) | 0.415415 | + | 0.909632i | 0.0153857 | + | 0.0336901i | ||||
\(730\) | −4.53244 | + | 2.91282i | −0.167753 | + | 0.107808i | ||||
\(731\) | −3.37941 | + | 23.5043i | −0.124992 | + | 0.869338i | ||||
\(732\) | 10.1476 | + | 6.52144i | 0.375065 | + | 0.241040i | ||||
\(733\) | −29.9830 | + | 34.6022i | −1.10745 | + | 1.27806i | −0.150242 | + | 0.988649i | \(0.548005\pi\) |
−0.957204 | + | 0.289413i | \(0.906540\pi\) | |||||||
\(734\) | 13.3380 | + | 3.91639i | 0.492315 | + | 0.144557i | ||||
\(735\) | 3.15804 | 0.116486 | ||||||||
\(736\) | −2.60800 | − | 4.02471i | −0.0961323 | − | 0.148353i | ||||
\(737\) | 26.2903 | 0.968415 | ||||||||
\(738\) | 0.813105 | + | 0.238749i | 0.0299308 | + | 0.00878848i | ||||
\(739\) | 5.80020 | − | 6.69379i | 0.213364 | − | 0.246235i | −0.638972 | − | 0.769230i | \(-0.720640\pi\) |
0.852336 | + | 0.522995i | \(0.175185\pi\) | |||||||
\(740\) | 0.185142 | + | 0.118983i | 0.00680594 | + | 0.00437391i | ||||
\(741\) | −0.559729 | + | 3.89300i | −0.0205622 | + | 0.143013i | ||||
\(742\) | 2.38311 | − | 1.53153i | 0.0874866 | − | 0.0562242i | ||||
\(743\) | −14.6652 | − | 32.1123i | −0.538014 | − | 1.17809i | −0.962158 | − | 0.272492i | \(-0.912152\pi\) |
0.424144 | − | 0.905595i | \(-0.360575\pi\) | |||||||
\(744\) | −1.61291 | − | 1.86139i | −0.0591320 | − | 0.0682419i | ||||
\(745\) | −0.207288 | − | 1.44172i | −0.00759446 | − | 0.0528206i | ||||
\(746\) | 4.01377 | − | 8.78893i | 0.146954 | − | 0.321785i | ||||
\(747\) | −7.75599 | + | 2.27736i | −0.283777 | + | 0.0833244i | ||||
\(748\) | 6.43683 | − | 1.89002i | 0.235354 | − | 0.0691061i | ||||
\(749\) | −0.292419 | + | 0.640308i | −0.0106848 | + | 0.0233964i | ||||
\(750\) | 0.638189 | + | 4.43870i | 0.0233034 | + | 0.162078i | ||||
\(751\) | −11.6294 | − | 13.4211i | −0.424364 | − | 0.489742i | 0.502798 | − | 0.864404i | \(-0.332304\pi\) |
−0.927161 | + | 0.374662i | \(0.877759\pi\) | |||||||
\(752\) | −1.12746 | − | 2.46879i | −0.0411142 | − | 0.0900276i | ||||
\(753\) | 15.1874 | − | 9.76036i | 0.553460 | − | 0.355687i | ||||
\(754\) | −0.421879 | + | 2.93423i | −0.0153639 | + | 0.106859i | ||||
\(755\) | −0.491189 | − | 0.315668i | −0.0178762 | − | 0.0114883i | ||||
\(756\) | −0.212591 | + | 0.245343i | −0.00773184 | + | 0.00892302i | ||||
\(757\) | −7.70494 | − | 2.26237i | −0.280041 | − | 0.0822274i | 0.138696 | − | 0.990335i | \(-0.455709\pi\) |
−0.418737 | + | 0.908108i | \(0.637527\pi\) | |||||||
\(758\) | 19.9331 | 0.724002 | ||||||||
\(759\) | −0.0449558 | − | 11.9331i | −0.00163179 | − | 0.433145i | ||||
\(760\) | 1.32553 | 0.0480821 | ||||||||
\(761\) | −19.9673 | − | 5.86292i | −0.723813 | − | 0.212531i | −0.100983 | − | 0.994888i | \(-0.532199\pi\) |
−0.622830 | + | 0.782358i | \(0.714017\pi\) | |||||||
\(762\) | −8.46686 | + | 9.77128i | −0.306722 | + | 0.353976i | ||||
\(763\) | 2.29920 | + | 1.47760i | 0.0832365 | + | 0.0534928i | ||||
\(764\) | −3.32908 | + | 23.1543i | −0.120442 | + | 0.837692i | ||||
\(765\) | −1.03889 | + | 0.667657i | −0.0375613 | + | 0.0241392i | ||||
\(766\) | −11.6206 | − | 25.4456i | −0.419869 | − | 0.919385i | ||||
\(767\) | −9.68621 | − | 11.1785i | −0.349749 | − | 0.403632i | ||||
\(768\) | 0.142315 | + | 0.989821i | 0.00513534 | + | 0.0357171i | ||||
\(769\) | 12.1816 | − | 26.6740i | 0.439279 | − | 0.961888i | −0.552450 | − | 0.833546i | \(-0.686307\pi\) |
0.991730 | − | 0.128342i | \(-0.0409656\pi\) | |||||||
\(770\) | −0.355008 | + | 0.104240i | −0.0127936 | + | 0.00375654i | ||||
\(771\) | −21.9300 | + | 6.43922i | −0.789788 | + | 0.231903i | ||||
\(772\) | 2.49939 | − | 5.47289i | 0.0899549 | − | 0.196974i | ||||
\(773\) | 5.93473 | + | 41.2770i | 0.213457 | + | 1.48463i | 0.761493 | + | 0.648174i | \(0.224467\pi\) |
−0.548035 | + | 0.836455i | \(0.684624\pi\) | |||||||
\(774\) | −5.76770 | − | 6.65628i | −0.207316 | − | 0.239255i | ||||
\(775\) | −4.90112 | − | 10.7320i | −0.176053 | − | 0.385503i | ||||
\(776\) | 0.188666 | − | 0.121248i | 0.00677271 | − | 0.00435256i | ||||
\(777\) | −0.0221981 | + | 0.154391i | −0.000796351 | + | 0.00553874i | ||||
\(778\) | 22.2758 | + | 14.3158i | 0.798625 | + | 0.513245i | ||||
\(779\) | 1.60597 | − | 1.85338i | 0.0575397 | − | 0.0664044i | ||||
\(780\) | 0.597303 | + | 0.175384i | 0.0213869 | + | 0.00627975i | ||||
\(781\) | −40.8241 | −1.46080 | ||||||||
\(782\) | 9.73993 | − | 8.50415i | 0.348299 | − | 0.304108i | ||||
\(783\) | 2.18119 | 0.0779492 | ||||||||
\(784\) | 6.61533 | + | 1.94244i | 0.236262 | + | 0.0693727i | ||||
\(785\) | 5.19993 | − | 6.00104i | 0.185594 | − | 0.214186i | ||||
\(786\) | −4.95691 | − | 3.18561i | −0.176807 | − | 0.113627i | ||||
\(787\) | −6.28618 | + | 43.7214i | −0.224078 | + | 1.55850i | 0.498303 | + | 0.867003i | \(0.333957\pi\) |
−0.722381 | + | 0.691495i | \(0.756952\pi\) | |||||||
\(788\) | 13.0091 | − | 8.36045i | 0.463430 | − | 0.297829i | ||||
\(789\) | 7.73481 | + | 16.9369i | 0.275366 | + | 0.602968i | ||||
\(790\) | −3.21777 | − | 3.71351i | −0.114483 | − | 0.132121i | ||||
\(791\) | 0.00895767 | + | 0.0623020i | 0.000318498 | + | 0.00221520i | ||||
\(792\) | −1.03365 | + | 2.26339i | −0.0367293 | + | 0.0804260i | ||||
\(793\) | 15.7298 | − | 4.61867i | 0.558580 | − | 0.164014i | ||||
\(794\) | −15.7816 | + | 4.63388i | −0.560067 | + | 0.164450i | ||||
\(795\) | −1.66039 | + | 3.63576i | −0.0588881 | + | 0.128947i | ||||
\(796\) | 1.66665 | + | 11.5918i | 0.0590729 | + | 0.410861i | ||||
\(797\) | 20.2917 | + | 23.4179i | 0.718769 | + | 0.829504i | 0.991158 | − | 0.132683i | \(-0.0423593\pi\) |
−0.272389 | + | 0.962187i | \(0.587814\pi\) | |||||||
\(798\) | 0.390265 | + | 0.854562i | 0.0138152 | + | 0.0302512i | ||||
\(799\) | 6.15577 | − | 3.95607i | 0.217776 | − | 0.139956i | ||||
\(800\) | −0.681716 | + | 4.74144i | −0.0241023 | + | 0.167635i | ||||
\(801\) | −8.66347 | − | 5.56767i | −0.306109 | − | 0.196724i | ||||
\(802\) | 13.2558 | − | 15.2980i | 0.468078 | − | 0.540191i | ||||
\(803\) | −28.0823 | − | 8.24570i | −0.991002 | − | 0.290985i | ||||
\(804\) | −10.5658 | −0.372627 | ||||||||
\(805\) | −0.537182 | + | 0.469026i | −0.0189332 | + | 0.0165310i | ||||
\(806\) | −3.34738 | −0.117906 | ||||||||
\(807\) | 0.756787 | + | 0.222213i | 0.0266402 | + | 0.00782226i | ||||
\(808\) | 7.00416 | − | 8.08324i | 0.246406 | − | 0.284367i | ||||
\(809\) | −21.4348 | − | 13.7753i | −0.753609 | − | 0.484315i | 0.106571 | − | 0.994305i | \(-0.466013\pi\) |
−0.860180 | + | 0.509990i | \(0.829649\pi\) | |||||||
\(810\) | 0.0651865 | − | 0.453382i | 0.00229042 | − | 0.0159302i | ||||
\(811\) | −18.1906 | + | 11.6904i | −0.638758 | + | 0.410505i | −0.819543 | − | 0.573018i | \(-0.805772\pi\) |
0.180785 | + | 0.983523i | \(0.442136\pi\) | |||||||
\(812\) | 0.294151 | + | 0.644100i | 0.0103227 | + | 0.0226035i | ||||
\(813\) | 19.2007 | + | 22.1588i | 0.673397 | + | 0.777142i | ||||
\(814\) | 0.170143 | + | 1.18337i | 0.00596350 | + | 0.0414770i | ||||
\(815\) | −1.00323 | + | 2.19677i | −0.0351417 | + | 0.0769495i | ||||
\(816\) | −2.58689 | + | 0.759581i | −0.0905594 | + | 0.0265906i | ||||
\(817\) | −24.4556 | + | 7.18080i | −0.855592 | + | 0.251225i | ||||
\(818\) | −7.24169 | + | 15.8571i | −0.253200 | + | 0.554430i | ||||
\(819\) | 0.0627900 | + | 0.436714i | 0.00219406 | + | 0.0152600i | ||||
\(820\) | −0.254192 | − | 0.293353i | −0.00887676 | − | 0.0102443i | ||||
\(821\) | −19.8677 | − | 43.5042i | −0.693387 | − | 1.51831i | −0.847809 | − | 0.530301i | \(-0.822079\pi\) |
0.154422 | − | 0.988005i | \(-0.450649\pi\) | |||||||
\(822\) | −13.6383 | + | 8.76482i | −0.475691 | + | 0.305708i | ||||
\(823\) | 3.03301 | − | 21.0951i | 0.105724 | − | 0.735327i | −0.866143 | − | 0.499797i | \(-0.833408\pi\) |
0.971867 | − | 0.235531i | \(-0.0756829\pi\) | |||||||
\(824\) | −1.70510 | − | 1.09580i | −0.0593999 | − | 0.0381740i | ||||
\(825\) | −7.80540 | + | 9.00792i | −0.271749 | + | 0.313615i | ||||
\(826\) | −3.38998 | − | 0.995387i | −0.117952 | − | 0.0346339i | ||||
\(827\) | 8.52696 | 0.296512 | 0.148256 | − | 0.988949i | \(-0.452634\pi\) | ||||
0.148256 | + | 0.988949i | \(0.452634\pi\) | |||||||
\(828\) | 0.0180673 | + | 4.79580i | 0.000627881 | + | 0.166665i | ||||
\(829\) | −28.0337 | −0.973651 | −0.486826 | − | 0.873499i | \(-0.661845\pi\) | ||||
−0.486826 | + | 0.873499i | \(0.661845\pi\) | |||||||
\(830\) | 3.55259 | + | 1.04313i | 0.123312 | + | 0.0362077i | ||||
\(831\) | −16.6568 | + | 19.2229i | −0.577817 | + | 0.666836i | ||||
\(832\) | 1.14333 | + | 0.734774i | 0.0396379 | + | 0.0254737i | ||||
\(833\) | −2.64543 | + | 18.3994i | −0.0916589 | + | 0.637501i | ||||
\(834\) | −16.5162 | + | 10.6143i | −0.571909 | + | 0.367544i | ||||
\(835\) | −0.562837 | − | 1.23244i | −0.0194778 | − | 0.0426504i | ||||
\(836\) | 4.71547 | + | 5.44194i | 0.163088 | + | 0.188213i | ||||
\(837\) | 0.350518 | + | 2.43790i | 0.0121157 | + | 0.0842663i | ||||
\(838\) | 6.83824 | − | 14.9737i | 0.236223 | − | 0.517257i | ||||
\(839\) | −37.8397 | + | 11.1107i | −1.30637 | + | 0.383585i | −0.859556 | − | 0.511041i | \(-0.829260\pi\) |
−0.446815 | + | 0.894626i | \(0.647442\pi\) | |||||||
\(840\) | 0.142674 | − | 0.0418928i | 0.00492272 | − | 0.00144544i | ||||
\(841\) | −10.0707 | + | 22.0517i | −0.347264 | + | 0.760403i | ||||
\(842\) | −4.40853 | − | 30.6620i | −0.151928 | − | 1.05668i | ||||
\(843\) | −15.4430 | − | 17.8221i | −0.531884 | − | 0.613827i | ||||
\(844\) | 4.43456 | + | 9.71033i | 0.152644 | + | 0.334243i | ||||
\(845\) | −4.29756 | + | 2.76188i | −0.147841 | + | 0.0950114i | ||||
\(846\) | −0.386250 | + | 2.68643i | −0.0132796 | + | 0.0923614i | ||||
\(847\) | 1.31324 | + | 0.843968i | 0.0451234 | + | 0.0289991i | ||||
\(848\) | −5.71440 | + | 6.59477i | −0.196233 | + | 0.226465i | ||||
\(849\) | −25.5515 | − | 7.50259i | −0.876924 | − | 0.257488i | ||||
\(850\) | −12.9149 | −0.442976 | ||||||||
\(851\) | 1.25308 | + | 1.93377i | 0.0429549 | + | 0.0662888i | ||||
\(852\) | 16.4068 | 0.562088 | ||||||||
\(853\) | −44.2335 | − | 12.9881i | −1.51453 | − | 0.444705i | −0.584252 | − | 0.811572i | \(-0.698612\pi\) |
−0.930273 | + | 0.366867i | \(0.880430\pi\) | |||||||
\(854\) | 2.56436 | − | 2.95943i | 0.0877506 | − | 0.101270i | ||||
\(855\) | −1.11511 | − | 0.716637i | −0.0381359 | − | 0.0245085i | ||||
\(856\) | 0.308588 | − | 2.14627i | 0.0105473 | − | 0.0733582i | ||||
\(857\) | −10.5582 | + | 6.78534i | −0.360661 | + | 0.231783i | −0.708404 | − | 0.705807i | \(-0.750584\pi\) |
0.347743 | + | 0.937590i | \(0.386948\pi\) | |||||||
\(858\) | 1.40482 | + | 3.07613i | 0.0479597 | + | 0.105017i | ||||
\(859\) | 3.21092 | + | 3.70559i | 0.109555 | + | 0.126433i | 0.807878 | − | 0.589349i | \(-0.200616\pi\) |
−0.698323 | + | 0.715782i | \(0.746070\pi\) | |||||||
\(860\) | 0.574131 | + | 3.99317i | 0.0195777 | + | 0.136166i | ||||
\(861\) | 0.114283 | − | 0.250245i | 0.00389476 | − | 0.00852833i | ||||
\(862\) | −17.5740 | + | 5.16018i | −0.598572 | + | 0.175757i | ||||
\(863\) | 38.1184 | − | 11.1926i | 1.29757 | − | 0.381000i | 0.441219 | − | 0.897400i | \(-0.354546\pi\) |
0.856348 | + | 0.516400i | \(0.172728\pi\) | |||||||
\(864\) | 0.415415 | − | 0.909632i | 0.0141327 | − | 0.0309463i | ||||
\(865\) | −0.269402 | − | 1.87373i | −0.00915995 | − | 0.0637088i | ||||
\(866\) | 9.92102 | + | 11.4495i | 0.337130 | + | 0.389069i | ||||
\(867\) | 4.04241 | + | 8.85164i | 0.137287 | + | 0.300618i | ||||
\(868\) | −0.672639 | + | 0.432279i | −0.0228308 | + | 0.0146725i | ||||
\(869\) | 3.79876 | − | 26.4210i | 0.128864 | − | 0.896270i | ||||
\(870\) | −0.840480 | − | 0.540144i | −0.0284949 | − | 0.0183126i | ||||
\(871\) | −9.40364 | + | 10.8524i | −0.318630 | + | 0.367719i | ||||
\(872\) | −8.07785 | − | 2.37187i | −0.273551 | − | 0.0803217i | ||||
\(873\) | −0.224268 | −0.00759031 | ||||||||
\(874\) | 12.6461 | + | 5.71779i | 0.427760 | + | 0.193407i | ||||
\(875\) | 1.45577 | 0.0492142 | ||||||||
\(876\) | 11.2860 | + | 3.31386i | 0.381318 | + | 0.111965i | ||||
\(877\) | −1.42882 | + | 1.64894i | −0.0482478 | + | 0.0556809i | −0.779360 | − | 0.626576i | \(-0.784456\pi\) |
0.731113 | + | 0.682257i | \(0.239001\pi\) | |||||||
\(878\) | −4.90599 | − | 3.15289i | −0.165569 | − | 0.106405i | ||||
\(879\) | −0.938191 | + | 6.52526i | −0.0316444 | + | 0.220092i | ||||
\(880\) | 0.958799 | − | 0.616183i | 0.0323211 | − | 0.0207715i | ||||
\(881\) | −21.0662 | − | 46.1285i | −0.709738 | − | 1.55411i | −0.827751 | − | 0.561096i | \(-0.810380\pi\) |
0.118013 | − | 0.993012i | \(-0.462348\pi\) | |||||||
\(882\) | −4.51501 | − | 5.21060i | −0.152028 | − | 0.175450i | ||||
\(883\) | 5.44954 | + | 37.9024i | 0.183392 | + | 1.27552i | 0.848670 | + | 0.528922i | \(0.177404\pi\) |
−0.665279 | + | 0.746595i | \(0.731687\pi\) | |||||||
\(884\) | −1.52217 | + | 3.33310i | −0.0511962 | + | 0.112104i | ||||
\(885\) | 4.78310 | − | 1.40444i | 0.160782 | − | 0.0472099i | ||||
\(886\) | −16.6438 | + | 4.88706i | −0.559159 | + | 0.164184i | ||||
\(887\) | 8.95322 | − | 19.6048i | 0.300620 | − | 0.658266i | −0.697689 | − | 0.716401i | \(-0.745788\pi\) |
0.998309 | + | 0.0581352i | \(0.0185155\pi\) | |||||||
\(888\) | −0.0683786 | − | 0.475583i | −0.00229463 | − | 0.0159595i | ||||
\(889\) | 2.74864 | + | 3.17210i | 0.0921863 | + | 0.106389i | ||||
\(890\) | 1.95954 | + | 4.29080i | 0.0656840 | + | 0.143828i | ||||
\(891\) | 2.09325 | − | 1.34525i | 0.0701264 | − | 0.0450675i | ||||
\(892\) | −1.07757 | + | 7.49464i | −0.0360796 | + | 0.250939i | ||||
\(893\) | 6.60736 | + | 4.24630i | 0.221107 | + | 0.142097i | ||||
\(894\) | −2.08241 | + | 2.40323i | −0.0696462 | + | 0.0803760i | ||||
\(895\) | −4.45513 | − | 1.30814i | −0.148918 | − | 0.0437264i | ||||
\(896\) | 0.324635 | 0.0108453 | ||||||||
\(897\) | 4.94196 | + | 4.24974i | 0.165007 | + | 0.141895i | ||||
\(898\) | 18.5051 | 0.617522 | ||||||||
\(899\) | 5.15459 | + | 1.51353i | 0.171915 | + | 0.0504789i | ||||
\(900\) | 3.13691 | − | 3.62019i | 0.104564 | − | 0.120673i | ||||
\(901\) | −19.7918 | − | 12.7194i | −0.659361 | − | 0.423745i | ||||
\(902\) | 0.300088 | − | 2.08716i | 0.00999183 | − | 0.0694947i | ||||
\(903\) | −2.40533 | + | 1.54581i | −0.0800445 | + | 0.0514415i | ||||
\(904\) | −0.0805438 | − | 0.176366i | −0.00267885 | − | 0.00586586i | ||||
\(905\) | 7.99020 | + | 9.22118i | 0.265603 | + | 0.306523i | ||||
\(906\) | 0.181411 | + | 1.26174i | 0.00602699 | + | 0.0419186i | ||||
\(907\) | 11.9325 | − | 26.1286i | 0.396214 | − | 0.867587i | −0.601426 | − | 0.798928i | \(-0.705401\pi\) |
0.997640 | − | 0.0686589i | \(-0.0218720\pi\) | |||||||
\(908\) | 12.1325 | − | 3.56241i | 0.402630 | − | 0.118223i | ||||
\(909\) | −10.2624 | + | 3.01331i | −0.340383 | + | 0.0999453i | ||||
\(910\) | 0.0839518 | − | 0.183829i | 0.00278298 | − | 0.00609387i | ||||
\(911\) | 0.517595 | + | 3.59995i | 0.0171487 | + | 0.119272i | 0.996598 | − | 0.0824204i | \(-0.0262650\pi\) |
−0.979449 | + | 0.201692i | \(0.935356\pi\) | |||||||
\(912\) | −1.89510 | − | 2.18706i | −0.0627530 | − | 0.0724208i | ||||
\(913\) | 8.35546 | + | 18.2959i | 0.276526 | + | 0.605506i | ||||
\(914\) | 4.84716 | − | 3.11508i | 0.160330 | − | 0.103038i | ||||
\(915\) | −0.786308 | + | 5.46889i | −0.0259945 | + | 0.180796i | ||||
\(916\) | −7.06214 | − | 4.53856i | −0.233340 | − | 0.149958i | ||||
\(917\) | −1.25265 | + | 1.44563i | −0.0413660 | + | 0.0477389i | ||||
\(918\) | 2.58689 | + | 0.759581i | 0.0853802 | + | 0.0250699i | ||||
\(919\) | 14.2577 | 0.470318 | 0.235159 | − | 0.971957i | \(-0.424439\pi\) | ||||
0.235159 | + | 0.971957i | \(0.424439\pi\) | |||||||
\(920\) | 1.18066 | − | 1.85245i | 0.0389251 | − | 0.0610733i | ||||
\(921\) | −22.2953 | −0.734656 | ||||||||
\(922\) | 21.6201 | + | 6.34824i | 0.712021 | + | 0.209068i | ||||
\(923\) | 14.6022 | − | 16.8518i | 0.480637 | − | 0.554684i | ||||
\(924\) | 0.679540 | + | 0.436714i | 0.0223552 | + | 0.0143668i | ||||
\(925\) | 0.327547 | − | 2.27814i | 0.0107697 | − | 0.0749047i | ||||
\(926\) | 25.2373 | − | 16.2190i | 0.829350 | − | 0.532991i | ||||
\(927\) | 0.841985 | + | 1.84369i | 0.0276544 | + | 0.0605547i | ||||
\(928\) | −1.42837 | − | 1.64843i | −0.0468886 | − | 0.0541124i | ||||
\(929\) | −7.42433 | − | 51.6373i | −0.243584 | − | 1.69417i | −0.633844 | − | 0.773461i | \(-0.718524\pi\) |
0.390260 | − | 0.920705i | \(-0.372385\pi\) | |||||||
\(930\) | 0.468651 | − | 1.02620i | 0.0153677 | − | 0.0336505i | ||||
\(931\) | −19.1441 | + | 5.62121i | −0.627422 | + | 0.184228i | ||||
\(932\) | −25.2170 | + | 7.40439i | −0.826011 | + | 0.242539i | ||||
\(933\) | 5.36155 | − | 11.7401i | 0.175529 | − | 0.384355i | ||||
\(934\) | −1.65702 | − | 11.5248i | −0.0542192 | − | 0.377103i | ||||
\(935\) | 2.01227 | + | 2.32229i | 0.0658083 | + | 0.0759469i | ||||
\(936\) | −0.564582 | − | 1.23626i | −0.0184540 | − | 0.0404085i | ||||
\(937\) | −30.9751 | + | 19.9065i | −1.01191 | + | 0.650317i | −0.937888 | − | 0.346939i | \(-0.887221\pi\) |
−0.0740256 | + | 0.997256i | \(0.523585\pi\) | |||||||
\(938\) | −0.488143 | + | 3.39511i | −0.0159384 | + | 0.110854i | ||||
\(939\) | 16.1712 | + | 10.3926i | 0.527727 | + | 0.339149i | ||||
\(940\) | 0.814095 | − | 0.939516i | 0.0265529 | − | 0.0306436i | ||||
\(941\) | 15.8211 | + | 4.64550i | 0.515754 | + | 0.151439i | 0.529243 | − | 0.848470i | \(-0.322476\pi\) |
−0.0134897 | + | 0.999909i | \(0.504294\pi\) | |||||||
\(942\) | −17.3357 | −0.564827 | ||||||||
\(943\) | −1.15968 | − | 3.89517i | −0.0377645 | − | 0.126844i | ||||
\(944\) | 10.8833 | 0.354221 | ||||||||
\(945\) | −0.142674 | − | 0.0418928i | −0.00464118 | − | 0.00136277i | ||||
\(946\) | −14.3514 | + | 16.5624i | −0.466606 | + | 0.538492i | ||||
\(947\) | 40.8392 | + | 26.2458i | 1.32710 | + | 0.852874i | 0.995880 | − | 0.0906811i | \(-0.0289044\pi\) |
0.331217 | + | 0.943555i | \(0.392541\pi\) | |||||||
\(948\) | −1.52668 | + | 10.6183i | −0.0495844 | + | 0.344867i | ||||
\(949\) | 13.4484 | − | 8.64274i | 0.436552 | − | 0.280555i | ||||
\(950\) | −5.75862 | − | 12.6096i | −0.186834 | − | 0.409110i | ||||
\(951\) | −7.03398 | − | 8.11764i | −0.228092 | − | 0.263233i | ||||
\(952\) | 0.124561 | + | 0.866341i | 0.00403705 | + | 0.0280783i | ||||
\(953\) | 23.5811 | − | 51.6354i | 0.763867 | − | 1.67264i | 0.0241587 | − | 0.999708i | \(-0.492309\pi\) |
0.739708 | − | 0.672928i | \(-0.234963\pi\) | |||||||
\(954\) | 8.37266 | − | 2.45843i | 0.271075 | − | 0.0795947i | ||||
\(955\) | −10.2807 | + | 3.01869i | −0.332676 | + | 0.0976825i | ||||
\(956\) | 3.26256 | − | 7.14402i | 0.105519 | − | 0.231054i | ||||
\(957\) | −0.772389 | − | 5.37208i | −0.0249678 | − | 0.173655i | ||||
\(958\) | 8.73545 | + | 10.0812i | 0.282230 | + | 0.325710i | ||||
\(959\) | 2.18631 | + | 4.78735i | 0.0705996 | + | 0.154591i | ||||
\(960\) | −0.385331 | + | 0.247638i | −0.0124365 | + | 0.00799247i | ||||
\(961\) | 3.54844 | − | 24.6800i | 0.114466 | − | 0.796128i | ||||
\(962\) | −0.549341 | − | 0.353040i | −0.0177115 | − | 0.0113825i | ||||
\(963\) | −1.41996 | + | 1.63873i | −0.0457577 | + | 0.0528072i | ||||
\(964\) | 25.4306 | + | 7.46711i | 0.819066 | + | 0.240499i | ||||
\(965\) | 2.75587 | 0.0887146 | ||||||||
\(966\) | 1.54187 | + | 0.215762i | 0.0496089 | + | 0.00694203i | ||||
\(967\) | 26.3683 | 0.847948 | 0.423974 | − | 0.905674i | \(-0.360635\pi\) | ||||
0.423974 | + | 0.905674i | \(0.360635\pi\) | |||||||
\(968\) | −4.61385 | − | 1.35475i | −0.148295 | − | 0.0435433i | ||||
\(969\) | 5.10938 | − | 5.89654i | 0.164137 | − | 0.189424i | ||||
\(970\) | 0.0864174 | + | 0.0555371i | 0.00277469 | + | 0.00178319i | ||||
\(971\) | −0.832978 | + | 5.79349i | −0.0267315 | + | 0.185922i | −0.998812 | − | 0.0487249i | \(-0.984484\pi\) |
0.972081 | + | 0.234647i | \(0.0753933\pi\) | |||||||
\(972\) | −0.841254 | + | 0.540641i | −0.0269832 | + | 0.0173411i | ||||
\(973\) | 2.64765 | + | 5.79754i | 0.0848797 | + | 0.185861i | ||||
\(974\) | −8.85391 | − | 10.2180i | −0.283697 | − | 0.327404i | ||||
\(975\) | −0.926507 | − | 6.44400i | −0.0296720 | − | 0.206373i | ||||
\(976\) | −5.01092 | + | 10.9724i | −0.160396 | + | 0.351217i | ||||
\(977\) | 30.4209 | − | 8.93237i | 0.973249 | − | 0.285772i | 0.243814 | − | 0.969822i | \(-0.421601\pi\) |
0.729435 | + | 0.684050i | \(0.239783\pi\) | |||||||
\(978\) | 5.05886 | − | 1.48542i | 0.161765 | − | 0.0474984i | ||||
\(979\) | −10.6449 | + | 23.3090i | −0.340211 | + | 0.744959i | ||||
\(980\) | 0.449436 | + | 3.12589i | 0.0143567 | + | 0.0998530i | ||||
\(981\) | 5.51319 | + | 6.36256i | 0.176023 | + | 0.203141i | ||||
\(982\) | −17.0099 | − | 37.2465i | −0.542808 | − | 1.18858i | ||||
\(983\) | 21.8073 | − | 14.0147i | 0.695543 | − | 0.446999i | −0.144509 | − | 0.989503i | \(-0.546160\pi\) |
0.840053 | + | 0.542505i | \(0.182524\pi\) | |||||||
\(984\) | −0.120602 | + | 0.838807i | −0.00384466 | + | 0.0267402i | ||||
\(985\) | 5.95875 | + | 3.82946i | 0.189862 | + | 0.122017i | ||||
\(986\) | 3.85105 | − | 4.44434i | 0.122642 | − | 0.141537i | ||||
\(987\) | 0.845387 | + | 0.248228i | 0.0269090 | + | 0.00790119i | ||||
\(988\) | −3.93303 | −0.125127 | ||||||||
\(989\) | −11.7474 | + | 40.5729i | −0.373547 | + | 1.29014i | ||||
\(990\) | −1.13973 | −0.0362229 | ||||||||
\(991\) | 37.8199 | + | 11.1049i | 1.20139 | + | 0.352760i | 0.820384 | − | 0.571813i | \(-0.193760\pi\) |
0.381006 | + | 0.924573i | \(0.375578\pi\) | |||||||
\(992\) | 1.61291 | − | 1.86139i | 0.0512098 | − | 0.0590992i | ||||
\(993\) | 14.7521 | + | 9.48057i | 0.468143 | + | 0.300857i | ||||
\(994\) | 0.758000 | − | 5.27200i | 0.0240423 | − | 0.167218i | ||||
\(995\) | −4.51262 | + | 2.90009i | −0.143060 | + | 0.0919389i | ||||
\(996\) | −3.35797 | − | 7.35294i | −0.106401 | − | 0.232987i | ||||
\(997\) | 19.4890 | + | 22.4915i | 0.617223 | + | 0.712314i | 0.975177 | − | 0.221426i | \(-0.0710710\pi\) |
−0.357954 | + | 0.933739i | \(0.616526\pi\) | |||||||
\(998\) | 3.04459 | + | 21.1756i | 0.0963747 | + | 0.670301i | ||||
\(999\) | −0.199596 | + | 0.437054i | −0.00631494 | + | 0.0138278i |
(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 | 138.2.e.d.133.1 | yes | 10 | |
3.2 | odd | 2 | 414.2.i.a.271.1 | 10 | |||
23.3 | even | 11 | 3174.2.a.x.1.3 | 5 | |||
23.9 | even | 11 | inner | 138.2.e.d.55.1 | ✓ | 10 | |
23.20 | odd | 22 | 3174.2.a.w.1.3 | 5 | |||
69.20 | even | 22 | 9522.2.a.by.1.3 | 5 | |||
69.26 | odd | 22 | 9522.2.a.bx.1.3 | 5 | |||
69.32 | odd | 22 | 414.2.i.a.55.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.d.55.1 | ✓ | 10 | 23.9 | even | 11 | inner | |
138.2.e.d.133.1 | yes | 10 | 1.1 | even | 1 | trivial | |
414.2.i.a.55.1 | 10 | 69.32 | odd | 22 | |||
414.2.i.a.271.1 | 10 | 3.2 | odd | 2 | |||
3174.2.a.w.1.3 | 5 | 23.20 | odd | 22 | |||
3174.2.a.x.1.3 | 5 | 23.3 | even | 11 | |||
9522.2.a.bx.1.3 | 5 | 69.26 | odd | 22 | |||
9522.2.a.by.1.3 | 5 | 69.20 | even | 22 |