Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(188,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.188");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.t (of order \(12\), degree \(4\), not 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 26 x^{18} + 279 x^{16} + 1604 x^{14} + 5353 x^{12} + 10466 x^{10} + 11441 x^{8} + 6176 x^{6} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 188.3 | ||
Root | \(-0.493902i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.188 |
Dual form | 845.2.t.e.427.3 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.427732 | − | 0.246951i | −0.302452 | − | 0.174621i | 0.341092 | − | 0.940030i | \(-0.389203\pi\) |
−0.643544 | + | 0.765409i | \(0.722537\pi\) | |||||||
\(3\) | 0.908353 | − | 0.243392i | 0.524438 | − | 0.140523i | 0.0131191 | − | 0.999914i | \(-0.495824\pi\) |
0.511318 | + | 0.859391i | \(0.329157\pi\) | |||||||
\(4\) | −0.878030 | − | 1.52079i | −0.439015 | − | 0.760397i | ||||
\(5\) | 0.284413 | − | 2.21791i | 0.127193 | − | 0.991878i | ||||
\(6\) | −0.448637 | − | 0.120212i | −0.183155 | − | 0.0490763i | ||||
\(7\) | −1.83775 | − | 3.18307i | −0.694603 | − | 1.20309i | −0.970314 | − | 0.241847i | \(-0.922247\pi\) |
0.275712 | − | 0.961240i | \(-0.411086\pi\) | |||||||
\(8\) | 1.85513i | 0.655886i | ||||||||
\(9\) | −1.83221 | + | 1.05783i | −0.610737 | + | 0.352609i | ||||
\(10\) | −0.669366 | + | 0.878433i | −0.211672 | + | 0.277785i | ||||
\(11\) | −0.664257 | + | 0.177987i | −0.200281 | + | 0.0536651i | −0.357565 | − | 0.933888i | \(-0.616393\pi\) |
0.157284 | + | 0.987553i | \(0.449726\pi\) | |||||||
\(12\) | −1.16771 | − | 1.16771i | −0.337089 | − | 0.337089i | ||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 1.81533i | 0.485168i | ||||||||
\(15\) | −0.281475 | − | 2.08387i | −0.0726764 | − | 0.538052i | ||||
\(16\) | −1.29794 | + | 2.24809i | −0.324484 | + | 0.562023i | ||||
\(17\) | −0.614565 | + | 2.29359i | −0.149054 | + | 0.556277i | 0.850487 | + | 0.525995i | \(0.176307\pi\) |
−0.999541 | + | 0.0302815i | \(0.990360\pi\) | |||||||
\(18\) | 1.04493 | 0.246291 | ||||||||
\(19\) | 1.41763 | − | 5.29067i | 0.325227 | − | 1.21376i | −0.588857 | − | 0.808238i | \(-0.700422\pi\) |
0.914084 | − | 0.405526i | \(-0.132912\pi\) | |||||||
\(20\) | −3.62270 | + | 1.51486i | −0.810060 | + | 0.338732i | ||||
\(21\) | −2.44406 | − | 2.44406i | −0.533337 | − | 0.533337i | ||||
\(22\) | 0.328078 | + | 0.0879082i | 0.0699464 | + | 0.0187421i | ||||
\(23\) | −0.350507 | − | 1.30811i | −0.0730858 | − | 0.272760i | 0.919707 | − | 0.392606i | \(-0.128426\pi\) |
−0.992792 | + | 0.119846i | \(0.961760\pi\) | |||||||
\(24\) | 0.451523 | + | 1.68511i | 0.0921668 | + | 0.343971i | ||||
\(25\) | −4.83822 | − | 1.26160i | −0.967644 | − | 0.252320i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.40171 | + | 3.40171i | −0.654659 | + | 0.654659i | ||||
\(28\) | −3.22719 | + | 5.58966i | −0.609882 | + | 1.05635i | ||||
\(29\) | 8.24134 | + | 4.75814i | 1.53038 | + | 0.883564i | 0.999344 | + | 0.0362142i | \(0.0115299\pi\) |
0.531034 | + | 0.847350i | \(0.321803\pi\) | |||||||
\(30\) | −0.394217 | + | 0.960845i | −0.0719738 | + | 0.175426i | ||||
\(31\) | −4.81595 | + | 4.81595i | −0.864970 | + | 0.864970i | −0.991910 | − | 0.126940i | \(-0.959484\pi\) |
0.126940 | + | 0.991910i | \(0.459484\pi\) | |||||||
\(32\) | 4.32351 | − | 2.49618i | 0.764295 | − | 0.441266i | ||||
\(33\) | −0.560059 | + | 0.323350i | −0.0974937 | + | 0.0562880i | ||||
\(34\) | 0.829273 | − | 0.829273i | 0.142219 | − | 0.142219i | ||||
\(35\) | −7.58243 | + | 3.17064i | −1.28166 | + | 0.535937i | ||||
\(36\) | 3.21748 | + | 1.85761i | 0.536246 | + | 0.309602i | ||||
\(37\) | 0.917615 | − | 1.58936i | 0.150855 | − | 0.261289i | −0.780687 | − | 0.624922i | \(-0.785131\pi\) |
0.931542 | + | 0.363634i | \(0.118464\pi\) | |||||||
\(38\) | −1.91290 | + | 1.91290i | −0.310314 | + | 0.310314i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.11449 | + | 0.527621i | 0.650559 | + | 0.0834242i | ||||
\(41\) | −0.143350 | − | 0.534988i | −0.0223874 | − | 0.0835510i | 0.953828 | − | 0.300352i | \(-0.0971043\pi\) |
−0.976216 | + | 0.216801i | \(0.930438\pi\) | |||||||
\(42\) | 0.441838 | + | 1.64896i | 0.0681771 | + | 0.254440i | ||||
\(43\) | 2.09285 | + | 0.560778i | 0.319157 | + | 0.0855178i | 0.414841 | − | 0.909894i | \(-0.363837\pi\) |
−0.0956841 | + | 0.995412i | \(0.530504\pi\) | |||||||
\(44\) | 0.853919 | + | 0.853919i | 0.128733 | + | 0.128733i | ||||
\(45\) | 1.82506 | + | 4.36453i | 0.272064 | + | 0.650626i | ||||
\(46\) | −0.173116 | + | 0.646078i | −0.0255246 | + | 0.0952590i | ||||
\(47\) | 3.80918 | 0.555626 | 0.277813 | − | 0.960635i | \(-0.410390\pi\) | ||||
0.277813 | + | 0.960635i | \(0.410390\pi\) | |||||||
\(48\) | −0.631815 | + | 2.35797i | −0.0911947 | + | 0.340343i | ||||
\(49\) | −3.25462 | + | 5.63717i | −0.464946 | + | 0.805310i | ||||
\(50\) | 1.75791 | + | 1.73443i | 0.248605 | + | 0.245285i | ||||
\(51\) | 2.23297i | 0.312678i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.47293 | − | 2.47293i | −0.339683 | − | 0.339683i | 0.516565 | − | 0.856248i | \(-0.327211\pi\) |
−0.856248 | + | 0.516565i | \(0.827211\pi\) | |||||||
\(54\) | 2.29507 | − | 0.614963i | 0.312320 | − | 0.0836858i | ||||
\(55\) | 0.205836 | + | 1.52388i | 0.0277549 | + | 0.205480i | ||||
\(56\) | 5.90499 | − | 3.40925i | 0.789088 | − | 0.455580i | ||||
\(57\) | − | 5.15084i | − | 0.682245i | ||||||
\(58\) | −2.35005 | − | 4.07041i | −0.308577 | − | 0.534471i | ||||
\(59\) | −10.0508 | − | 2.69310i | −1.30850 | − | 0.350612i | −0.463844 | − | 0.885917i | \(-0.653530\pi\) |
−0.844659 | + | 0.535305i | \(0.820197\pi\) | |||||||
\(60\) | −2.92199 | + | 2.25776i | −0.377227 | + | 0.291476i | ||||
\(61\) | −3.09904 | − | 5.36770i | −0.396792 | − | 0.687263i | 0.596536 | − | 0.802586i | \(-0.296543\pi\) |
−0.993328 | + | 0.115323i | \(0.963210\pi\) | |||||||
\(62\) | 3.24924 | − | 0.870630i | 0.412653 | − | 0.110570i | ||||
\(63\) | 6.73428 | + | 3.88804i | 0.848439 | + | 0.489847i | ||||
\(64\) | 2.72601 | 0.340751 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.319406 | 0.0393162 | ||||||||
\(67\) | −10.6066 | − | 6.12371i | −1.29580 | − | 0.748130i | −0.316124 | − | 0.948718i | \(-0.602381\pi\) |
−0.979676 | + | 0.200588i | \(0.935715\pi\) | |||||||
\(68\) | 4.02768 | − | 1.07921i | 0.488428 | − | 0.130874i | ||||
\(69\) | −0.636768 | − | 1.10291i | −0.0766579 | − | 0.132775i | ||||
\(70\) | 4.02624 | + | 0.516303i | 0.481227 | + | 0.0617101i | ||||
\(71\) | −6.47512 | − | 1.73500i | −0.768456 | − | 0.205907i | −0.146767 | − | 0.989171i | \(-0.546887\pi\) |
−0.621689 | + | 0.783264i | \(0.713553\pi\) | |||||||
\(72\) | −1.96240 | − | 3.39898i | −0.231271 | − | 0.400574i | ||||
\(73\) | − | 3.37642i | − | 0.395180i | −0.980285 | − | 0.197590i | \(-0.936688\pi\) | ||
0.980285 | − | 0.197590i | \(-0.0633115\pi\) | |||||||
\(74\) | −0.784986 | + | 0.453212i | −0.0912528 | + | 0.0526848i | ||||
\(75\) | −4.70187 | + | 0.0316067i | −0.542926 | + | 0.00364963i | ||||
\(76\) | −9.29074 | + | 2.48945i | −1.06572 | + | 0.285559i | ||||
\(77\) | 1.78728 | + | 1.78728i | 0.203680 | + | 0.203680i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 3.12149i | − | 0.351195i | −0.984462 | − | 0.175598i | \(-0.943814\pi\) | ||
0.984462 | − | 0.175598i | \(-0.0561857\pi\) | |||||||
\(80\) | 4.61691 | + | 3.51809i | 0.516186 | + | 0.393334i | ||||
\(81\) | 0.911483 | − | 1.57873i | 0.101276 | − | 0.175415i | ||||
\(82\) | −0.0708006 | + | 0.264231i | −0.00781862 | + | 0.0291795i | ||||
\(83\) | −2.13918 | −0.234805 | −0.117403 | − | 0.993084i | \(-0.537457\pi\) | ||||
−0.117403 | + | 0.993084i | \(0.537457\pi\) | |||||||
\(84\) | −1.57095 | + | 5.86286i | −0.171405 | + | 0.639691i | ||||
\(85\) | 4.91217 | + | 2.01537i | 0.532800 | + | 0.218598i | ||||
\(86\) | −0.756694 | − | 0.756694i | −0.0815964 | − | 0.0815964i | ||||
\(87\) | 8.64414 | + | 2.31619i | 0.926749 | + | 0.248322i | ||||
\(88\) | −0.330188 | − | 1.23228i | −0.0351982 | − | 0.131361i | ||||
\(89\) | 0.874198 | + | 3.26255i | 0.0926648 | + | 0.345830i | 0.996655 | − | 0.0817233i | \(-0.0260424\pi\) |
−0.903990 | + | 0.427553i | \(0.859376\pi\) | |||||||
\(90\) | 0.297190 | − | 2.31755i | 0.0313266 | − | 0.244291i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −1.68161 | + | 1.68161i | −0.175320 | + | 0.175320i | ||||
\(93\) | −3.20242 | + | 5.54675i | −0.332075 | + | 0.575171i | ||||
\(94\) | −1.62931 | − | 0.940681i | −0.168050 | − | 0.0970238i | ||||
\(95\) | −11.3310 | − | 4.64891i | −1.16254 | − | 0.476968i | ||||
\(96\) | 3.31972 | − | 3.31972i | 0.338817 | − | 0.338817i | ||||
\(97\) | 6.12606 | − | 3.53688i | 0.622007 | − | 0.359116i | −0.155643 | − | 0.987813i | \(-0.549745\pi\) |
0.777650 | + | 0.628697i | \(0.216412\pi\) | |||||||
\(98\) | 2.78421 | − | 1.60746i | 0.281248 | − | 0.162378i | ||||
\(99\) | 1.02878 | − | 1.02878i | 0.103396 | − | 0.103396i | ||||
\(100\) | 2.32947 | + | 8.46566i | 0.232947 | + | 0.846566i | ||||
\(101\) | −12.9641 | − | 7.48483i | −1.28998 | − | 0.744769i | −0.311327 | − | 0.950303i | \(-0.600774\pi\) |
−0.978650 | + | 0.205534i | \(0.934107\pi\) | |||||||
\(102\) | 0.551433 | − | 0.955111i | 0.0546000 | − | 0.0945700i | ||||
\(103\) | −3.17851 | + | 3.17851i | −0.313188 | + | 0.313188i | −0.846143 | − | 0.532956i | \(-0.821081\pi\) |
0.532956 | + | 0.846143i | \(0.321081\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.11581 | + | 4.72557i | −0.596842 | + | 0.461168i | ||||
\(106\) | 0.447058 | + | 1.66844i | 0.0434221 | + | 0.162054i | ||||
\(107\) | −3.94767 | − | 14.7329i | −0.381635 | − | 1.42428i | −0.843403 | − | 0.537282i | \(-0.819451\pi\) |
0.461767 | − | 0.887001i | \(-0.347216\pi\) | |||||||
\(108\) | 8.16010 | + | 2.18649i | 0.785206 | + | 0.210395i | ||||
\(109\) | −2.25902 | − | 2.25902i | −0.216375 | − | 0.216375i | 0.590594 | − | 0.806969i | \(-0.298893\pi\) |
−0.806969 | + | 0.590594i | \(0.798893\pi\) | |||||||
\(110\) | 0.288282 | − | 0.702643i | 0.0274866 | − | 0.0669944i | ||||
\(111\) | 0.446681 | − | 1.66704i | 0.0423971 | − | 0.158228i | ||||
\(112\) | 9.54111 | 0.901550 | ||||||||
\(113\) | 4.28882 | − | 16.0061i | 0.403458 | − | 1.50573i | −0.403423 | − | 0.915014i | \(-0.632180\pi\) |
0.806881 | − | 0.590713i | \(-0.201154\pi\) | |||||||
\(114\) | −1.27200 | + | 2.20318i | −0.119134 | + | 0.206346i | ||||
\(115\) | −3.00096 | + | 0.405349i | −0.279841 | + | 0.0377990i | ||||
\(116\) | − | 16.7112i | − | 1.55159i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.63398 | + | 3.63398i | 0.334535 | + | 0.334535i | ||||
\(119\) | 8.43007 | − | 2.25883i | 0.772783 | − | 0.207067i | ||||
\(120\) | 3.86583 | − | 0.522171i | 0.352900 | − | 0.0476674i | ||||
\(121\) | −9.11672 | + | 5.26354i | −0.828793 | + | 0.478504i | ||||
\(122\) | 3.06124i | 0.277152i | ||||||||
\(123\) | −0.260424 | − | 0.451067i | −0.0234816 | − | 0.0406714i | ||||
\(124\) | 11.5526 | + | 3.09551i | 1.03746 | + | 0.277985i | ||||
\(125\) | −4.17416 | + | 10.3719i | −0.373349 | + | 0.927691i | ||||
\(126\) | −1.92031 | − | 3.32607i | −0.171075 | − | 0.296310i | ||||
\(127\) | 8.01688 | − | 2.14812i | 0.711383 | − | 0.190614i | 0.115059 | − | 0.993359i | \(-0.463294\pi\) |
0.596324 | + | 0.802744i | \(0.296628\pi\) | |||||||
\(128\) | −9.81302 | − | 5.66555i | −0.867356 | − | 0.500768i | ||||
\(129\) | 2.03754 | 0.179395 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.37409 | 0.120054 | 0.0600272 | − | 0.998197i | \(-0.480881\pi\) | ||||
0.0600272 | + | 0.998197i | \(0.480881\pi\) | |||||||
\(132\) | 0.983497 | + | 0.567822i | 0.0856025 | + | 0.0494226i | ||||
\(133\) | −19.4458 | + | 5.21049i | −1.68617 | + | 0.451807i | ||||
\(134\) | 3.02451 | + | 5.23861i | 0.261278 | + | 0.452547i | ||||
\(135\) | 6.57718 | + | 8.51216i | 0.566074 | + | 0.732610i | ||||
\(136\) | −4.25489 | − | 1.14010i | −0.364854 | − | 0.0977624i | ||||
\(137\) | 6.16380 | + | 10.6760i | 0.526609 | + | 0.912114i | 0.999519 | + | 0.0310029i | \(0.00987013\pi\) |
−0.472910 | + | 0.881111i | \(0.656797\pi\) | |||||||
\(138\) | 0.629002i | 0.0535442i | ||||||||
\(139\) | −5.54392 | + | 3.20078i | −0.470229 | + | 0.271487i | −0.716336 | − | 0.697756i | \(-0.754182\pi\) |
0.246107 | + | 0.969243i | \(0.420849\pi\) | |||||||
\(140\) | 11.4795 | + | 8.74739i | 0.970195 | + | 0.739289i | ||||
\(141\) | 3.46008 | − | 0.927126i | 0.291391 | − | 0.0780781i | ||||
\(142\) | 2.34115 | + | 2.34115i | 0.196465 | + | 0.196465i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | − | 5.49197i | − | 0.457664i | ||||||
\(145\) | 12.8971 | − | 16.9252i | 1.07104 | − | 1.40557i | ||||
\(146\) | −0.833811 | + | 1.44420i | −0.0690067 | + | 0.119523i | ||||
\(147\) | −1.58430 | + | 5.91269i | −0.130671 | + | 0.487670i | ||||
\(148\) | −3.22278 | −0.264911 | ||||||||
\(149\) | −4.34882 | + | 16.2300i | −0.356269 | + | 1.32961i | 0.522611 | + | 0.852571i | \(0.324958\pi\) |
−0.878880 | + | 0.477043i | \(0.841709\pi\) | |||||||
\(150\) | 2.01894 | + | 1.14761i | 0.164846 | + | 0.0937022i | ||||
\(151\) | 3.31542 | + | 3.31542i | 0.269805 | + | 0.269805i | 0.829022 | − | 0.559217i | \(-0.188898\pi\) |
−0.559217 | + | 0.829022i | \(0.688898\pi\) | |||||||
\(152\) | 9.81486 | + | 2.62988i | 0.796090 | + | 0.213312i | ||||
\(153\) | −1.30021 | − | 4.85244i | −0.105116 | − | 0.392297i | ||||
\(154\) | −0.323106 | − | 1.20585i | −0.0260366 | − | 0.0971699i | ||||
\(155\) | 9.31161 | + | 12.0510i | 0.747926 | + | 0.967963i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.87941 | − | 9.87941i | 0.788463 | − | 0.788463i | −0.192779 | − | 0.981242i | \(-0.561750\pi\) |
0.981242 | + | 0.192779i | \(0.0617501\pi\) | |||||||
\(158\) | −0.770855 | + | 1.33516i | −0.0613259 | + | 0.106220i | ||||
\(159\) | −2.84819 | − | 1.64440i | −0.225876 | − | 0.130410i | ||||
\(160\) | −4.30663 | − | 10.2991i | −0.340469 | − | 0.814214i | ||||
\(161\) | −3.51966 | + | 3.51966i | −0.277388 | + | 0.277388i | ||||
\(162\) | −0.779740 | + | 0.450183i | −0.0612622 | + | 0.0353697i | ||||
\(163\) | −0.114289 | + | 0.0659848i | −0.00895180 | + | 0.00516833i | −0.504469 | − | 0.863430i | \(-0.668312\pi\) |
0.495517 | + | 0.868598i | \(0.334978\pi\) | |||||||
\(164\) | −0.687741 | + | 0.687741i | −0.0537035 | + | 0.0537035i | ||||
\(165\) | 0.557872 | + | 1.33412i | 0.0434303 | + | 0.103861i | ||||
\(166\) | 0.914995 | + | 0.528272i | 0.0710174 | + | 0.0410019i | ||||
\(167\) | 10.8184 | − | 18.7380i | 0.837152 | − | 1.44999i | −0.0551149 | − | 0.998480i | \(-0.517553\pi\) |
0.892267 | − | 0.451509i | \(-0.149114\pi\) | |||||||
\(168\) | 4.53403 | − | 4.53403i | 0.349808 | − | 0.349808i | ||||
\(169\) | 0 | 0 | ||||||||
\(170\) | −1.60339 | − | 2.07510i | −0.122975 | − | 0.159153i | ||||
\(171\) | 2.99922 | + | 11.1932i | 0.229356 | + | 0.855969i | ||||
\(172\) | −0.984760 | − | 3.67518i | −0.0750873 | − | 0.280230i | ||||
\(173\) | 7.47013 | + | 2.00162i | 0.567943 | + | 0.152180i | 0.531353 | − | 0.847150i | \(-0.321684\pi\) |
0.0365902 | + | 0.999330i | \(0.488350\pi\) | |||||||
\(174\) | −3.12539 | − | 3.12539i | −0.236935 | − | 0.236935i | ||||
\(175\) | 4.87565 | + | 17.7189i | 0.368565 | + | 1.33942i | ||||
\(176\) | 0.462032 | − | 1.72433i | 0.0348270 | − | 0.129976i | ||||
\(177\) | −9.78515 | −0.735497 | ||||||||
\(178\) | 0.431768 | − | 1.61138i | 0.0323624 | − | 0.120778i | ||||
\(179\) | 8.17681 | − | 14.1627i | 0.611164 | − | 1.05857i | −0.379881 | − | 0.925035i | \(-0.624035\pi\) |
0.991045 | − | 0.133531i | \(-0.0426317\pi\) | |||||||
\(180\) | 5.03510 | − | 6.60773i | 0.375294 | − | 0.492511i | ||||
\(181\) | 18.0387i | 1.34081i | 0.741997 | + | 0.670403i | \(0.233879\pi\) | ||||
−0.741997 | + | 0.670403i | \(0.766121\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −4.12148 | − | 4.12148i | −0.304668 | − | 0.304668i | ||||
\(184\) | 2.42671 | − | 0.650235i | 0.178899 | − | 0.0479359i | ||||
\(185\) | −3.26406 | − | 2.48722i | −0.239979 | − | 0.182864i | ||||
\(186\) | 2.73955 | − | 1.58168i | 0.200873 | − | 0.115974i | ||||
\(187\) | − | 1.63292i | − | 0.119411i | ||||||
\(188\) | −3.34458 | − | 5.79298i | −0.243928 | − | 0.422496i | ||||
\(189\) | 17.0793 | + | 4.57640i | 1.24234 | + | 0.332884i | ||||
\(190\) | 3.69858 | + | 4.78669i | 0.268324 | + | 0.347263i | ||||
\(191\) | −2.59552 | − | 4.49557i | −0.187805 | − | 0.325288i | 0.756713 | − | 0.653747i | \(-0.226804\pi\) |
−0.944518 | + | 0.328459i | \(0.893471\pi\) | |||||||
\(192\) | 2.47618 | − | 0.663490i | 0.178703 | − | 0.0478833i | ||||
\(193\) | −8.74813 | − | 5.05073i | −0.629704 | − | 0.363560i | 0.150934 | − | 0.988544i | \(-0.451772\pi\) |
−0.780637 | + | 0.624984i | \(0.785105\pi\) | |||||||
\(194\) | −3.49375 | −0.250836 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 11.4306 | 0.816473 | ||||||||
\(197\) | −11.3137 | − | 6.53197i | −0.806068 | − | 0.465384i | 0.0395205 | − | 0.999219i | \(-0.487417\pi\) |
−0.845589 | + | 0.533835i | \(0.820750\pi\) | |||||||
\(198\) | −0.694099 | + | 0.185983i | −0.0493275 | + | 0.0132173i | ||||
\(199\) | −3.92506 | − | 6.79840i | −0.278240 | − | 0.481926i | 0.692707 | − | 0.721219i | \(-0.256418\pi\) |
−0.970947 | + | 0.239293i | \(0.923084\pi\) | |||||||
\(200\) | 2.34043 | − | 8.97550i | 0.165493 | − | 0.634664i | ||||
\(201\) | −11.1250 | − | 2.98093i | −0.784695 | − | 0.210258i | ||||
\(202\) | 3.69677 | + | 6.40300i | 0.260104 | + | 0.450513i | ||||
\(203\) | − | 34.9770i | − | 2.45491i | ||||||
\(204\) | 3.39588 | − | 1.96061i | 0.237759 | − | 0.137270i | ||||
\(205\) | −1.22732 | + | 0.165779i | −0.0857200 | + | 0.0115785i | ||||
\(206\) | 2.14448 | − | 0.574613i | 0.149413 | − | 0.0400352i | ||||
\(207\) | 2.02596 | + | 2.02596i | 0.140814 | + | 0.140814i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.76669i | 0.260547i | ||||||||
\(210\) | 3.78291 | − | 0.510970i | 0.261045 | − | 0.0352603i | ||||
\(211\) | −6.21205 | + | 10.7596i | −0.427655 | + | 0.740720i | −0.996664 | − | 0.0816108i | \(-0.973994\pi\) |
0.569009 | + | 0.822331i | \(0.307327\pi\) | |||||||
\(212\) | −1.58951 | + | 5.93213i | −0.109168 | + | 0.407420i | ||||
\(213\) | −6.30398 | −0.431942 | ||||||||
\(214\) | −1.94976 | + | 7.27661i | −0.133283 | + | 0.497419i | ||||
\(215\) | 1.83899 | − | 4.48226i | 0.125418 | − | 0.305687i | ||||
\(216\) | −6.31059 | − | 6.31059i | −0.429382 | − | 0.429382i | ||||
\(217\) | 24.1800 | + | 6.47901i | 1.64145 | + | 0.439824i | ||||
\(218\) | 0.408387 | + | 1.52412i | 0.0276594 | + | 0.103226i | ||||
\(219\) | −0.821796 | − | 3.06698i | −0.0555318 | − | 0.207248i | ||||
\(220\) | 2.13678 | − | 1.65105i | 0.144062 | − | 0.111314i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −0.602736 | + | 0.602736i | −0.0404530 | + | 0.0404530i | ||||
\(223\) | 4.97247 | − | 8.61258i | 0.332981 | − | 0.576741i | −0.650114 | − | 0.759837i | \(-0.725279\pi\) |
0.983095 | + | 0.183096i | \(0.0586120\pi\) | |||||||
\(224\) | −15.8910 | − | 9.17468i | −1.06176 | − | 0.613009i | ||||
\(225\) | 10.1992 | − | 2.80648i | 0.679946 | − | 0.187099i | ||||
\(226\) | −5.78718 | + | 5.78718i | −0.384958 | + | 0.384958i | ||||
\(227\) | 12.6490 | − | 7.30290i | 0.839543 | − | 0.484710i | −0.0175659 | − | 0.999846i | \(-0.505592\pi\) |
0.857109 | + | 0.515135i | \(0.172258\pi\) | |||||||
\(228\) | −7.83336 | + | 4.52259i | −0.518777 | + | 0.299516i | ||||
\(229\) | −15.6183 | + | 15.6183i | −1.03209 | + | 1.03209i | −0.0326207 | + | 0.999468i | \(0.510385\pi\) |
−0.999468 | + | 0.0326207i | \(0.989615\pi\) | |||||||
\(230\) | 1.38370 | + | 0.567708i | 0.0912388 | + | 0.0374336i | ||||
\(231\) | 2.05849 | + | 1.18847i | 0.135439 | + | 0.0781956i | ||||
\(232\) | −8.82695 | + | 15.2887i | −0.579517 | + | 1.00375i | ||||
\(233\) | 16.5625 | − | 16.5625i | 1.08505 | − | 1.08505i | 0.0890148 | − | 0.996030i | \(-0.471628\pi\) |
0.996030 | − | 0.0890148i | \(-0.0283719\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.08338 | − | 8.44841i | 0.0706719 | − | 0.551113i | ||||
\(236\) | 4.72926 | + | 17.6498i | 0.307848 | + | 1.14891i | ||||
\(237\) | −0.759747 | − | 2.83541i | −0.0493509 | − | 0.184180i | ||||
\(238\) | −4.16362 | − | 1.11564i | −0.269888 | − | 0.0723162i | ||||
\(239\) | 14.6022 | + | 14.6022i | 0.944535 | + | 0.944535i | 0.998541 | − | 0.0540053i | \(-0.0171988\pi\) |
−0.0540053 | + | 0.998541i | \(0.517199\pi\) | |||||||
\(240\) | 5.05005 | + | 2.07194i | 0.325980 | + | 0.133743i | ||||
\(241\) | 0.802065 | − | 2.99335i | 0.0516656 | − | 0.192818i | −0.935270 | − | 0.353936i | \(-0.884843\pi\) |
0.986935 | + | 0.161117i | \(0.0515098\pi\) | |||||||
\(242\) | 5.19935 | 0.334227 | ||||||||
\(243\) | 4.17903 | − | 15.5964i | 0.268085 | − | 1.00051i | ||||
\(244\) | −5.44211 | + | 9.42600i | −0.348395 | + | 0.603438i | ||||
\(245\) | 11.5771 | + | 8.82173i | 0.739631 | + | 0.563600i | ||||
\(246\) | 0.257248i | 0.0164015i | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −8.93419 | − | 8.93419i | −0.567322 | − | 0.567322i | ||||
\(249\) | −1.94313 | + | 0.520660i | −0.123141 | + | 0.0329955i | ||||
\(250\) | 4.34677 | − | 3.40558i | 0.274914 | − | 0.215388i | ||||
\(251\) | 25.5728 | − | 14.7645i | 1.61414 | − | 0.931925i | 0.625745 | − | 0.780028i | \(-0.284795\pi\) |
0.988396 | − | 0.151897i | \(-0.0485382\pi\) | |||||||
\(252\) | − | 13.6553i | − | 0.860201i | ||||||
\(253\) | 0.465654 | + | 0.806536i | 0.0292754 | + | 0.0507065i | ||||
\(254\) | −3.95955 | − | 1.06096i | −0.248444 | − | 0.0665704i | ||||
\(255\) | 4.95251 | + | 0.635084i | 0.310138 | + | 0.0397705i | ||||
\(256\) | 0.0722145 | + | 0.125079i | 0.00451341 | + | 0.00781745i | ||||
\(257\) | 6.92097 | − | 1.85447i | 0.431718 | − | 0.115679i | −0.0364143 | − | 0.999337i | \(-0.511594\pi\) |
0.468133 | + | 0.883658i | \(0.344927\pi\) | |||||||
\(258\) | −0.871519 | − | 0.503172i | −0.0542584 | − | 0.0313261i | ||||
\(259\) | −6.74538 | −0.419137 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −20.1332 | −1.24621 | ||||||||
\(262\) | −0.587740 | − | 0.339332i | −0.0363107 | − | 0.0209640i | ||||
\(263\) | 13.0066 | − | 3.48511i | 0.802023 | − | 0.214901i | 0.165551 | − | 0.986201i | \(-0.447060\pi\) |
0.636472 | + | 0.771300i | \(0.280393\pi\) | |||||||
\(264\) | −0.599855 | − | 1.03898i | −0.0369185 | − | 0.0639448i | ||||
\(265\) | −6.18807 | + | 4.78140i | −0.380130 | + | 0.293719i | ||||
\(266\) | 9.60433 | + | 2.57347i | 0.588879 | + | 0.157790i | ||||
\(267\) | 1.58816 | + | 2.75077i | 0.0971938 | + | 0.168345i | ||||
\(268\) | 21.5072i | 1.31376i | ||||||||
\(269\) | 7.01806 | − | 4.05188i | 0.427899 | − | 0.247047i | −0.270552 | − | 0.962705i | \(-0.587206\pi\) |
0.698451 | + | 0.715658i | \(0.253873\pi\) | |||||||
\(270\) | −0.711183 | − | 5.26516i | −0.0432812 | − | 0.320427i | ||||
\(271\) | −8.88325 | + | 2.38026i | −0.539619 | + | 0.144590i | −0.518326 | − | 0.855183i | \(-0.673445\pi\) |
−0.0212923 | + | 0.999773i | \(0.506778\pi\) | |||||||
\(272\) | −4.35853 | − | 4.35853i | −0.264275 | − | 0.264275i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 6.08862i | − | 0.367827i | ||||||
\(275\) | 3.43837 | − | 0.0231133i | 0.207341 | − | 0.00139378i | ||||
\(276\) | −1.11820 | + | 1.93679i | −0.0673080 | + | 0.116581i | ||||
\(277\) | −6.68911 | + | 24.9641i | −0.401910 | + | 1.49995i | 0.407775 | + | 0.913082i | \(0.366305\pi\) |
−0.809685 | + | 0.586865i | \(0.800362\pi\) | |||||||
\(278\) | 3.16174 | 0.189629 | ||||||||
\(279\) | 3.72939 | − | 13.9183i | 0.223273 | − | 0.833266i | ||||
\(280\) | −5.88194 | − | 14.0664i | −0.351513 | − | 0.840626i | ||||
\(281\) | −5.41928 | − | 5.41928i | −0.323287 | − | 0.323287i | 0.526740 | − | 0.850027i | \(-0.323414\pi\) |
−0.850027 | + | 0.526740i | \(0.823414\pi\) | |||||||
\(282\) | −1.70894 | − | 0.457909i | −0.101766 | − | 0.0272681i | ||||
\(283\) | −2.27388 | − | 8.48623i | −0.135168 | − | 0.504454i | −0.999997 | − | 0.00238762i | \(-0.999240\pi\) |
0.864829 | − | 0.502066i | \(-0.167427\pi\) | |||||||
\(284\) | 3.04677 | + | 11.3707i | 0.180793 | + | 0.674728i | ||||
\(285\) | −11.4241 | − | 1.46496i | −0.676704 | − | 0.0867769i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.43946 | + | 1.43946i | −0.0849688 | + | 0.0849688i | ||||
\(288\) | −5.28105 | + | 9.14705i | −0.311189 | + | 0.538995i | ||||
\(289\) | 9.83958 | + | 5.68088i | 0.578799 | + | 0.334170i | ||||
\(290\) | −9.69618 | + | 4.05452i | −0.569379 | + | 0.238090i | ||||
\(291\) | 4.70377 | − | 4.70377i | 0.275740 | − | 0.275740i | ||||
\(292\) | −5.13484 | + | 2.96460i | −0.300494 | + | 0.173490i | ||||
\(293\) | 11.4627 | − | 6.61798i | 0.669657 | − | 0.386626i | −0.126290 | − | 0.991993i | \(-0.540307\pi\) |
0.795947 | + | 0.605367i | \(0.206974\pi\) | |||||||
\(294\) | 2.13780 | − | 2.13780i | 0.124679 | − | 0.124679i | ||||
\(295\) | −8.83163 | + | 21.5258i | −0.514197 | + | 1.25328i | ||||
\(296\) | 2.94846 | + | 1.70229i | 0.171375 | + | 0.0989437i | ||||
\(297\) | 1.65415 | − | 2.86507i | 0.0959834 | − | 0.166248i | ||||
\(298\) | 5.86814 | − | 5.86814i | 0.339932 | − | 0.339932i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 4.17646 | + | 7.12283i | 0.241128 | + | 0.411237i | ||||
\(301\) | −2.06114 | − | 7.69226i | −0.118802 | − | 0.443375i | ||||
\(302\) | −0.599363 | − | 2.23685i | −0.0344895 | − | 0.128716i | ||||
\(303\) | −13.5977 | − | 3.64350i | −0.781169 | − | 0.209314i | ||||
\(304\) | 10.0539 | + | 10.0539i | 0.576632 | + | 0.576632i | ||||
\(305\) | −12.7865 | + | 5.34674i | −0.732150 | + | 0.306154i | ||||
\(306\) | −0.642175 | + | 2.39663i | −0.0367107 | + | 0.137006i | ||||
\(307\) | 15.4782 | 0.883389 | 0.441695 | − | 0.897165i | \(-0.354377\pi\) | ||||
0.441695 | + | 0.897165i | \(0.354377\pi\) | |||||||
\(308\) | 1.14880 | − | 4.28737i | 0.0654588 | − | 0.244296i | ||||
\(309\) | −2.11358 | + | 3.66083i | −0.120237 | + | 0.208257i | ||||
\(310\) | −1.00685 | − | 7.45412i | −0.0571854 | − | 0.423366i | ||||
\(311\) | 5.34922i | 0.303326i | 0.988432 | + | 0.151663i | \(0.0484629\pi\) | ||||
−0.988432 | + | 0.151663i | \(0.951537\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.3923 | + | 24.3923i | 1.37873 | + | 1.37873i | 0.846765 | + | 0.531967i | \(0.178547\pi\) |
0.531967 | + | 0.846765i | \(0.321453\pi\) | |||||||
\(314\) | −6.66547 | + | 1.78601i | −0.376154 | + | 0.100790i | ||||
\(315\) | 10.5386 | − | 13.8302i | 0.593784 | − | 0.779243i | ||||
\(316\) | −4.74714 | + | 2.74076i | −0.267048 | + | 0.154180i | ||||
\(317\) | − | 18.9851i | − | 1.06631i | −0.846017 | − | 0.533156i | \(-0.821006\pi\) | ||
0.846017 | − | 0.533156i | \(-0.178994\pi\) | |||||||
\(318\) | 0.812173 | + | 1.40673i | 0.0455444 | + | 0.0788852i | ||||
\(319\) | −6.32125 | − | 1.69378i | −0.353922 | − | 0.0948332i | ||||
\(320\) | 0.775312 | − | 6.04604i | 0.0433412 | − | 0.337984i | ||||
\(321\) | −7.17175 | − | 12.4218i | −0.400288 | − | 0.693319i | ||||
\(322\) | 2.37466 | − | 0.636287i | 0.132334 | − | 0.0354589i | ||||
\(323\) | 11.2634 | + | 6.50293i | 0.626712 | + | 0.361832i | ||||
\(324\) | −3.20124 | −0.177847 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0.0651800 | 0.00360999 | ||||||||
\(327\) | −2.60181 | − | 1.50216i | −0.143881 | − | 0.0830695i | ||||
\(328\) | 0.992469 | − | 0.265931i | 0.0548000 | − | 0.0146836i | ||||
\(329\) | −7.00031 | − | 12.1249i | −0.385940 | − | 0.668467i | ||||
\(330\) | 0.0908432 | − | 0.708414i | 0.00500075 | − | 0.0389969i | ||||
\(331\) | −6.77766 | − | 1.81607i | −0.372534 | − | 0.0998202i | 0.0676941 | − | 0.997706i | \(-0.478436\pi\) |
−0.440228 | + | 0.897886i | \(0.645102\pi\) | |||||||
\(332\) | 1.87826 | + | 3.25325i | 0.103083 | + | 0.178545i | ||||
\(333\) | 3.88272i | 0.212772i | ||||||||
\(334\) | −9.25473 | + | 5.34322i | −0.506396 | + | 0.292368i | ||||
\(335\) | −16.5985 | + | 21.7827i | −0.906871 | + | 1.19012i | ||||
\(336\) | 8.66669 | − | 2.32223i | 0.472807 | − | 0.126688i | ||||
\(337\) | −1.10195 | − | 1.10195i | −0.0600271 | − | 0.0600271i | 0.676456 | − | 0.736483i | \(-0.263515\pi\) |
−0.736483 | + | 0.676456i | \(0.763515\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | − | 15.5830i | − | 0.846355i | ||||||
\(340\) | −1.24807 | − | 9.23996i | −0.0676862 | − | 0.501107i | ||||
\(341\) | 2.34185 | − | 4.05620i | 0.126818 | − | 0.219656i | ||||
\(342\) | 1.48132 | − | 5.52836i | 0.0801006 | − | 0.298940i | ||||
\(343\) | −1.80378 | −0.0973947 | ||||||||
\(344\) | −1.04031 | + | 3.88250i | −0.0560899 | + | 0.209331i | ||||
\(345\) | −2.62727 | + | 1.09861i | −0.141447 | + | 0.0591471i | ||||
\(346\) | −2.70091 | − | 2.70091i | −0.145202 | − | 0.145202i | ||||
\(347\) | −24.9510 | − | 6.68561i | −1.33944 | − | 0.358902i | −0.483214 | − | 0.875502i | \(-0.660531\pi\) |
−0.856227 | + | 0.516600i | \(0.827197\pi\) | |||||||
\(348\) | −4.06737 | − | 15.1796i | −0.218034 | − | 0.813714i | ||||
\(349\) | −2.43287 | − | 9.07958i | −0.130228 | − | 0.486019i | 0.869744 | − | 0.493504i | \(-0.164284\pi\) |
−0.999972 | + | 0.00748510i | \(0.997617\pi\) | |||||||
\(350\) | 2.29023 | − | 8.78298i | 0.122418 | − | 0.469470i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.42763 | + | 2.42763i | −0.129393 | + | 0.129393i | ||||
\(353\) | −1.63274 | + | 2.82798i | −0.0869017 | + | 0.150518i | −0.906200 | − | 0.422849i | \(-0.861030\pi\) |
0.819298 | + | 0.573368i | \(0.194363\pi\) | |||||||
\(354\) | 4.18542 | + | 2.41645i | 0.222452 | + | 0.128433i | ||||
\(355\) | −5.68968 | + | 13.8678i | −0.301977 | + | 0.736024i | ||||
\(356\) | 4.19410 | − | 4.19410i | 0.222287 | − | 0.222287i | ||||
\(357\) | 7.10769 | − | 4.10363i | 0.376179 | − | 0.217187i | ||||
\(358\) | −6.99496 | + | 4.03854i | −0.369695 | + | 0.213444i | ||||
\(359\) | −3.12090 | + | 3.12090i | −0.164715 | + | 0.164715i | −0.784652 | − | 0.619937i | \(-0.787158\pi\) |
0.619937 | + | 0.784652i | \(0.287158\pi\) | |||||||
\(360\) | −8.09676 | + | 3.38571i | −0.426737 | + | 0.178443i | ||||
\(361\) | −9.52706 | − | 5.50045i | −0.501424 | − | 0.289497i | ||||
\(362\) | 4.45468 | − | 7.71573i | 0.234133 | − | 0.405530i | ||||
\(363\) | −7.00009 | + | 7.00009i | −0.367410 | + | 0.367410i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.48859 | − | 0.960297i | −0.391971 | − | 0.0502643i | ||||
\(366\) | 0.745084 | + | 2.78069i | 0.0389461 | + | 0.145349i | ||||
\(367\) | 6.49371 | + | 24.2349i | 0.338969 | + | 1.26505i | 0.899502 | + | 0.436917i | \(0.143930\pi\) |
−0.560533 | + | 0.828132i | \(0.689404\pi\) | |||||||
\(368\) | 3.39569 | + | 0.909872i | 0.177012 | + | 0.0474303i | ||||
\(369\) | 0.828572 | + | 0.828572i | 0.0431337 | + | 0.0431337i | ||||
\(370\) | 0.781922 | + | 1.86992i | 0.0406502 | + | 0.0972128i | ||||
\(371\) | −3.32690 | + | 12.4161i | −0.172724 | + | 0.644614i | ||||
\(372\) | 11.2473 | 0.583144 | ||||||||
\(373\) | −2.95740 | + | 11.0372i | −0.153128 | + | 0.571483i | 0.846130 | + | 0.532976i | \(0.178927\pi\) |
−0.999258 | + | 0.0385061i | \(0.987740\pi\) | |||||||
\(374\) | −0.403250 | + | 0.698450i | −0.0208516 | + | 0.0361160i | ||||
\(375\) | −1.26717 | + | 10.4373i | −0.0654364 | + | 0.538980i | ||||
\(376\) | 7.06651i | 0.364427i | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −6.17523 | − | 6.17523i | −0.317620 | − | 0.317620i | ||||
\(379\) | 1.94107 | − | 0.520109i | 0.0997062 | − | 0.0267162i | −0.208621 | − | 0.977997i | \(-0.566898\pi\) |
0.308327 | + | 0.951280i | \(0.400231\pi\) | |||||||
\(380\) | 2.87896 | + | 21.3140i | 0.147687 | + | 1.09339i | ||||
\(381\) | 6.75932 | − | 3.90249i | 0.346290 | − | 0.199931i | ||||
\(382\) | 2.56386i | 0.131179i | ||||||||
\(383\) | −13.2258 | − | 22.9077i | −0.675806 | − | 1.17053i | −0.976233 | − | 0.216725i | \(-0.930462\pi\) |
0.300427 | − | 0.953805i | \(-0.402871\pi\) | |||||||
\(384\) | −10.2926 | − | 2.75790i | −0.525244 | − | 0.140739i | ||||
\(385\) | 4.47235 | − | 3.45570i | 0.227932 | − | 0.176119i | ||||
\(386\) | 2.49457 | + | 4.32072i | 0.126970 | + | 0.219919i | ||||
\(387\) | −4.42775 | + | 1.18641i | −0.225075 | + | 0.0603088i | ||||
\(388\) | −10.7577 | − | 6.21098i | −0.546141 | − | 0.315315i | ||||
\(389\) | −0.650094 | −0.0329611 | −0.0164805 | − | 0.999864i | \(-0.505246\pi\) | ||||
−0.0164805 | + | 0.999864i | \(0.505246\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.21568 | 0.162624 | ||||||||
\(392\) | −10.4577 | − | 6.03773i | −0.528191 | − | 0.304951i | ||||
\(393\) | 1.24815 | − | 0.334442i | 0.0629610 | − | 0.0168704i | ||||
\(394\) | 3.22615 | + | 5.58786i | 0.162531 | + | 0.281512i | ||||
\(395\) | −6.92317 | − | 0.887791i | −0.348343 | − | 0.0446696i | ||||
\(396\) | −2.46786 | − | 0.661261i | −0.124015 | − | 0.0332296i | ||||
\(397\) | −13.5041 | − | 23.3897i | −0.677750 | − | 1.17390i | −0.975657 | − | 0.219303i | \(-0.929622\pi\) |
0.297907 | − | 0.954595i | \(-0.403712\pi\) | |||||||
\(398\) | 3.87719i | 0.194346i | ||||||||
\(399\) | −16.3955 | + | 9.46593i | −0.820800 | + | 0.473889i | ||||
\(400\) | 9.11589 | − | 9.23928i | 0.455795 | − | 0.461964i | ||||
\(401\) | −4.78969 | + | 1.28339i | −0.239186 | + | 0.0640896i | −0.376421 | − | 0.926449i | \(-0.622845\pi\) |
0.137235 | + | 0.990539i | \(0.456179\pi\) | |||||||
\(402\) | 4.02236 | + | 4.02236i | 0.200617 | + | 0.200617i | ||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 26.2876i | 1.30786i | ||||||||
\(405\) | −3.24225 | − | 2.47060i | −0.161109 | − | 0.122765i | ||||
\(406\) | −8.63761 | + | 14.9608i | −0.428677 | + | 0.742491i | ||||
\(407\) | −0.326647 | + | 1.21906i | −0.0161913 | + | 0.0604268i | ||||
\(408\) | −4.14243 | −0.205081 | ||||||||
\(409\) | 1.56473 | − | 5.83965i | 0.0773708 | − | 0.288752i | −0.916390 | − | 0.400288i | \(-0.868910\pi\) |
0.993760 | + | 0.111536i | \(0.0355769\pi\) | |||||||
\(410\) | 0.565904 | + | 0.232180i | 0.0279480 | + | 0.0114665i | ||||
\(411\) | 8.19736 | + | 8.19736i | 0.404346 | + | 0.404346i | ||||
\(412\) | 7.62468 | + | 2.04303i | 0.375641 | + | 0.100653i | ||||
\(413\) | 9.89848 | + | 36.9416i | 0.487073 | + | 1.81778i | ||||
\(414\) | −0.366254 | − | 1.36688i | −0.0180004 | − | 0.0671784i | ||||
\(415\) | −0.608410 | + | 4.74450i | −0.0298657 | + | 0.232898i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −4.25679 | + | 4.25679i | −0.208456 | + | 0.208456i | ||||
\(418\) | 0.930187 | − | 1.61113i | 0.0454969 | − | 0.0788030i | ||||
\(419\) | −4.65114 | − | 2.68534i | −0.227223 | − | 0.131187i | 0.382067 | − | 0.924135i | \(-0.375212\pi\) |
−0.609290 | + | 0.792947i | \(0.708546\pi\) | |||||||
\(420\) | 12.5565 | + | 5.15169i | 0.612693 | + | 0.251377i | ||||
\(421\) | −14.1377 | + | 14.1377i | −0.689029 | + | 0.689029i | −0.962017 | − | 0.272988i | \(-0.911988\pi\) |
0.272988 | + | 0.962017i | \(0.411988\pi\) | |||||||
\(422\) | 5.31418 | − | 3.06814i | 0.258690 | − | 0.149355i | ||||
\(423\) | −6.97923 | + | 4.02946i | −0.339342 | + | 0.195919i | ||||
\(424\) | 4.58760 | − | 4.58760i | 0.222794 | − | 0.222794i | ||||
\(425\) | 5.86699 | − | 10.3215i | 0.284591 | − | 0.500668i | ||||
\(426\) | 2.69641 | + | 1.55677i | 0.130642 | + | 0.0754260i | ||||
\(427\) | −11.3905 | + | 19.7289i | −0.551225 | + | 0.954750i | ||||
\(428\) | −18.9395 | + | 18.9395i | −0.915476 | + | 0.915476i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.89349 | + | 1.46306i | −0.0913122 | + | 0.0705552i | ||||
\(431\) | 4.31985 | + | 16.1219i | 0.208080 | + | 0.776564i | 0.988489 | + | 0.151295i | \(0.0483443\pi\) |
−0.780409 | + | 0.625269i | \(0.784989\pi\) | |||||||
\(432\) | −3.23215 | − | 12.0625i | −0.155507 | − | 0.580360i | ||||
\(433\) | 7.33490 | + | 1.96538i | 0.352493 | + | 0.0944502i | 0.430721 | − | 0.902485i | \(-0.358259\pi\) |
−0.0782277 | + | 0.996936i | \(0.524926\pi\) | |||||||
\(434\) | −8.74255 | − | 8.74255i | −0.419656 | − | 0.419656i | ||||
\(435\) | 7.59559 | − | 18.5131i | 0.364181 | − | 0.887637i | ||||
\(436\) | −1.45201 | + | 5.41899i | −0.0695388 | + | 0.259522i | ||||
\(437\) | −7.41767 | −0.354835 | ||||||||
\(438\) | −0.405886 | + | 1.51479i | −0.0193940 | + | 0.0723794i | ||||
\(439\) | 6.84536 | − | 11.8565i | 0.326711 | − | 0.565880i | −0.655146 | − | 0.755502i | \(-0.727393\pi\) |
0.981857 | + | 0.189622i | \(0.0607262\pi\) | |||||||
\(440\) | −2.82699 | + | 0.381851i | −0.134772 | + | 0.0182040i | ||||
\(441\) | − | 13.7713i | − | 0.655777i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.46290 | + | 6.46290i | 0.307062 | + | 0.307062i | 0.843769 | − | 0.536707i | \(-0.180332\pi\) |
−0.536707 | + | 0.843769i | \(0.680332\pi\) | |||||||
\(444\) | −2.92742 | + | 0.784399i | −0.138929 | + | 0.0372259i | ||||
\(445\) | 7.48467 | − | 1.01098i | 0.354807 | − | 0.0479250i | ||||
\(446\) | −4.25377 | + | 2.45591i | −0.201422 | + | 0.116291i | ||||
\(447\) | 15.8010i | 0.747364i | ||||||||
\(448\) | −5.00971 | − | 8.67708i | −0.236687 | − | 0.409953i | ||||
\(449\) | −24.8352 | − | 6.65458i | −1.17205 | − | 0.314049i | −0.380280 | − | 0.924872i | \(-0.624172\pi\) |
−0.791768 | + | 0.610822i | \(0.790839\pi\) | |||||||
\(450\) | −5.05558 | − | 1.31828i | −0.238322 | − | 0.0621443i | ||||
\(451\) | 0.190442 | + | 0.329855i | 0.00896755 | + | 0.0155323i | ||||
\(452\) | −28.1077 | + | 7.53143i | −1.32207 | + | 0.354249i | ||||
\(453\) | 3.81852 | + | 2.20462i | 0.179409 | + | 0.103582i | ||||
\(454\) | −7.21383 | −0.338562 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 9.55545 | 0.447475 | ||||||||
\(457\) | −0.716665 | − | 0.413767i | −0.0335242 | − | 0.0193552i | 0.483144 | − | 0.875541i | \(-0.339495\pi\) |
−0.516668 | + | 0.856186i | \(0.672828\pi\) | |||||||
\(458\) | 10.5374 | − | 2.82349i | 0.492381 | − | 0.131933i | ||||
\(459\) | −5.71155 | − | 9.89269i | −0.266592 | − | 0.461751i | ||||
\(460\) | 3.25138 | + | 4.20792i | 0.151596 | + | 0.196195i | ||||
\(461\) | 23.2589 | + | 6.23219i | 1.08327 | + | 0.290262i | 0.755936 | − | 0.654646i | \(-0.227182\pi\) |
0.327337 | + | 0.944908i | \(0.393849\pi\) | |||||||
\(462\) | −0.586988 | − | 1.01669i | −0.0273091 | − | 0.0473008i | ||||
\(463\) | − | 6.35566i | − | 0.295373i | −0.989034 | − | 0.147686i | \(-0.952817\pi\) | ||
0.989034 | − | 0.147686i | \(-0.0471826\pi\) | |||||||
\(464\) | −21.3935 | + | 12.3515i | −0.993167 | + | 0.573405i | ||||
\(465\) | 11.3914 | + | 8.68022i | 0.528262 | + | 0.402536i | ||||
\(466\) | −11.1744 | + | 2.99418i | −0.517645 | + | 0.138703i | ||||
\(467\) | −15.6194 | − | 15.6194i | −0.722781 | − | 0.722781i | 0.246390 | − | 0.969171i | \(-0.420756\pi\) |
−0.969171 | + | 0.246390i | \(0.920756\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 45.0153i | 2.07861i | ||||||||
\(470\) | −2.54974 | + | 3.34611i | −0.117611 | + | 0.154345i | ||||
\(471\) | 6.56942 | − | 11.3786i | 0.302703 | − | 0.524297i | ||||
\(472\) | 4.99605 | − | 18.6455i | 0.229962 | − | 0.858229i | ||||
\(473\) | −1.49000 | −0.0685104 | ||||||||
\(474\) | −0.375240 | + | 1.40042i | −0.0172354 | + | 0.0643232i | ||||
\(475\) | −13.5335 | + | 23.8089i | −0.620961 | + | 1.09243i | ||||
\(476\) | −10.8371 | − | 10.8371i | −0.496716 | − | 0.496716i | ||||
\(477\) | 7.14687 | + | 1.91500i | 0.327233 | + | 0.0876818i | ||||
\(478\) | −2.63979 | − | 9.85182i | −0.120741 | − | 0.450612i | ||||
\(479\) | 2.44935 | + | 9.14111i | 0.111914 | + | 0.417668i | 0.999038 | − | 0.0438638i | \(-0.0139668\pi\) |
−0.887124 | + | 0.461532i | \(0.847300\pi\) | |||||||
\(480\) | −6.41866 | − | 8.30700i | −0.292970 | − | 0.379161i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −1.08228 | + | 1.08228i | −0.0492964 | + | 0.0492964i | ||||
\(483\) | −2.34044 | + | 4.05375i | −0.106494 | + | 0.184452i | ||||
\(484\) | 16.0095 | + | 9.24310i | 0.727705 | + | 0.420141i | ||||
\(485\) | −6.10215 | − | 14.5930i | −0.277084 | − | 0.662633i | ||||
\(486\) | −5.63904 | + | 5.63904i | −0.255792 | + | 0.255792i | ||||
\(487\) | 5.33382 | − | 3.07948i | 0.241698 | − | 0.139545i | −0.374259 | − | 0.927324i | \(-0.622103\pi\) |
0.615957 | + | 0.787780i | \(0.288769\pi\) | |||||||
\(488\) | 9.95775 | − | 5.74911i | 0.450766 | − | 0.260250i | ||||
\(489\) | −0.0877545 | + | 0.0877545i | −0.00396840 | + | 0.00396840i | ||||
\(490\) | −2.77334 | − | 6.63230i | −0.125287 | − | 0.299617i | ||||
\(491\) | −12.8290 | − | 7.40681i | −0.578964 | − | 0.334265i | 0.181758 | − | 0.983343i | \(-0.441821\pi\) |
−0.760721 | + | 0.649078i | \(0.775155\pi\) | |||||||
\(492\) | −0.457320 | + | 0.792102i | −0.0206176 | + | 0.0357107i | ||||
\(493\) | −15.9781 | + | 15.9781i | −0.719615 | + | 0.719615i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.98914 | − | 2.57433i | −0.0894051 | − | 0.115708i | ||||
\(496\) | −4.57590 | − | 17.0775i | −0.205464 | − | 0.766802i | ||||
\(497\) | 6.37699 | + | 23.7993i | 0.286047 | + | 1.06754i | ||||
\(498\) | 0.959715 | + | 0.257155i | 0.0430059 | + | 0.0115234i | ||||
\(499\) | −21.0529 | − | 21.0529i | −0.942459 | − | 0.942459i | 0.0559733 | − | 0.998432i | \(-0.482174\pi\) |
−0.998432 | + | 0.0559733i | \(0.982174\pi\) | |||||||
\(500\) | 19.4386 | − | 2.75881i | 0.869319 | − | 0.123378i | ||||
\(501\) | 5.26622 | − | 19.6538i | 0.235278 | − | 0.878068i | ||||
\(502\) | −14.5844 | −0.650933 | ||||||||
\(503\) | −10.0318 | + | 37.4393i | −0.447297 | + | 1.66934i | 0.262502 | + | 0.964932i | \(0.415452\pi\) |
−0.709799 | + | 0.704404i | \(0.751214\pi\) | |||||||
\(504\) | −7.21280 | + | 12.4929i | −0.321284 | + | 0.556479i | ||||
\(505\) | −20.2878 | + | 26.6244i | −0.902796 | + | 1.18477i | ||||
\(506\) | − | 0.459974i | − | 0.0204484i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −10.3059 | − | 10.3059i | −0.457250 | − | 0.457250i | ||||
\(509\) | −5.36291 | + | 1.43699i | −0.237707 | + | 0.0636933i | −0.375706 | − | 0.926739i | \(-0.622600\pi\) |
0.137999 | + | 0.990432i | \(0.455933\pi\) | |||||||
\(510\) | −1.96151 | − | 1.49467i | −0.0868572 | − | 0.0661852i | ||||
\(511\) | −10.7474 | + | 6.20501i | −0.475437 | + | 0.274493i | ||||
\(512\) | 22.5909i | 0.998384i | ||||||||
\(513\) | 13.1750 | + | 22.8197i | 0.581688 | + | 1.00751i | ||||
\(514\) | −3.41828 | − | 0.915926i | −0.150774 | − | 0.0403997i | ||||
\(515\) | 6.14563 | + | 7.95364i | 0.270809 | + | 0.350479i | ||||
\(516\) | −1.78902 | − | 3.09867i | −0.0787572 | − | 0.136411i | ||||
\(517\) | −2.53028 | + | 0.677985i | −0.111281 | + | 0.0298178i | ||||
\(518\) | 2.88521 | + | 1.66578i | 0.126769 | + | 0.0731900i | ||||
\(519\) | 7.27269 | 0.319236 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −13.8692 | −0.607619 | −0.303809 | − | 0.952733i | \(-0.598259\pi\) | ||||
−0.303809 | + | 0.952733i | \(0.598259\pi\) | |||||||
\(522\) | 8.61159 | + | 4.97191i | 0.376919 | + | 0.217614i | ||||
\(523\) | −30.2601 | + | 8.10818i | −1.32318 | + | 0.354546i | −0.850170 | − | 0.526509i | \(-0.823501\pi\) |
−0.473014 | + | 0.881055i | \(0.656834\pi\) | |||||||
\(524\) | −1.20649 | − | 2.08970i | −0.0527057 | − | 0.0912890i | ||||
\(525\) | 8.74146 | + | 14.9083i | 0.381508 | + | 0.650652i | ||||
\(526\) | −6.42400 | − | 1.72130i | −0.280100 | − | 0.0750524i | ||||
\(527\) | −8.08609 | − | 14.0055i | −0.352236 | − | 0.610090i | ||||
\(528\) | − | 1.67875i | − | 0.0730583i | ||||||
\(529\) | 18.3303 | − | 10.5830i | 0.796969 | − | 0.460130i | ||||
\(530\) | 3.82760 | − | 0.517007i | 0.166260 | − | 0.0224574i | ||||
\(531\) | 21.2640 | − | 5.69768i | 0.922781 | − | 0.247258i | ||||
\(532\) | 24.9981 | + | 24.9981i | 1.08381 | + | 1.08381i | ||||
\(533\) | 0 | 0 | ||||||||
\(534\) | − | 1.56879i | − | 0.0678882i | ||||||
\(535\) | −33.7990 | + | 4.56534i | −1.46126 | + | 0.197377i | ||||
\(536\) | 11.3602 | − | 19.6765i | 0.490688 | − | 0.849897i | ||||
\(537\) | 3.98035 | − | 14.8549i | 0.171765 | − | 0.641035i | ||||
\(538\) | −4.00246 | −0.172558 | ||||||||
\(539\) | 1.15856 | − | 4.32381i | 0.0499028 | − | 0.186240i | ||||
\(540\) | 7.17027 | − | 17.4765i | 0.308559 | − | 0.752067i | ||||
\(541\) | 10.7732 | + | 10.7732i | 0.463175 | + | 0.463175i | 0.899695 | − | 0.436520i | \(-0.143789\pi\) |
−0.436520 | + | 0.899695i | \(0.643789\pi\) | |||||||
\(542\) | 4.38745 | + | 1.17561i | 0.188457 | + | 0.0504969i | ||||
\(543\) | 4.39048 | + | 16.3855i | 0.188414 | + | 0.703170i | ||||
\(544\) | 3.06813 | + | 11.4504i | 0.131545 | + | 0.490932i | ||||
\(545\) | −5.65278 | + | 4.36780i | −0.242139 | + | 0.187096i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.2704 | − | 14.2704i | 0.610159 | − | 0.610159i | −0.332828 | − | 0.942987i | \(-0.608003\pi\) |
0.942987 | + | 0.332828i | \(0.108003\pi\) | |||||||
\(548\) | 10.8240 | − | 18.7477i | 0.462379 | − | 0.800863i | ||||
\(549\) | 11.3562 | + | 6.55650i | 0.484671 | + | 0.279825i | ||||
\(550\) | −1.47641 | − | 0.839222i | −0.0629542 | − | 0.0357846i | ||||
\(551\) | 36.8569 | − | 36.8569i | 1.57016 | − | 1.57016i | ||||
\(552\) | 2.04605 | − | 1.18128i | 0.0870855 | − | 0.0502788i | ||||
\(553\) | −9.93592 | + | 5.73651i | −0.422518 | + | 0.243941i | ||||
\(554\) | 9.02605 | − | 9.02605i | 0.383480 | − | 0.383480i | ||||
\(555\) | −3.57029 | − | 1.46482i | −0.151550 | − | 0.0621783i | ||||
\(556\) | 9.73546 | + | 5.62077i | 0.412875 | + | 0.238374i | ||||
\(557\) | 8.35584 | − | 14.4727i | 0.354048 | − | 0.613229i | −0.632906 | − | 0.774228i | \(-0.718138\pi\) |
0.986955 | + | 0.160999i | \(0.0514716\pi\) | |||||||
\(558\) | −5.03231 | + | 5.03231i | −0.213035 | + | 0.213035i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 2.71361 | − | 21.1613i | 0.114671 | − | 0.894227i | ||||
\(561\) | −0.397439 | − | 1.48326i | −0.0167799 | − | 0.0626234i | ||||
\(562\) | 0.979701 | + | 3.65629i | 0.0413262 | + | 0.154231i | ||||
\(563\) | 21.8019 | + | 5.84179i | 0.918839 | + | 0.246202i | 0.687089 | − | 0.726573i | \(-0.258888\pi\) |
0.231750 | + | 0.972775i | \(0.425555\pi\) | |||||||
\(564\) | −4.44802 | − | 4.44802i | −0.187296 | − | 0.187296i | ||||
\(565\) | −34.2802 | − | 14.0645i | −1.44218 | − | 0.591700i | ||||
\(566\) | −1.12307 | + | 4.19136i | −0.0472063 | + | 0.176176i | ||||
\(567\) | −6.70030 | −0.281386 | ||||||||
\(568\) | 3.21865 | − | 12.0122i | 0.135052 | − | 0.504019i | ||||
\(569\) | 2.86843 | − | 4.96826i | 0.120251 | − | 0.208280i | −0.799616 | − | 0.600512i | \(-0.794963\pi\) |
0.919866 | + | 0.392232i | \(0.128297\pi\) | |||||||
\(570\) | 4.52466 | + | 3.44780i | 0.189517 | + | 0.144412i | ||||
\(571\) | − | 46.5634i | − | 1.94862i | −0.225214 | − | 0.974309i | \(-0.572308\pi\) | ||
0.225214 | − | 0.974309i | \(-0.427692\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.45183 | − | 3.45183i | −0.144202 | − | 0.144202i | ||||
\(574\) | 0.971181 | − | 0.260227i | 0.0405363 | − | 0.0108617i | ||||
\(575\) | 0.0455166 | + | 6.77112i | 0.00189817 | + | 0.282375i | ||||
\(576\) | −4.99463 | + | 2.88365i | −0.208109 | + | 0.120152i | ||||
\(577\) | − | 28.9429i | − | 1.20491i | −0.798153 | − | 0.602455i | \(-0.794189\pi\) | ||
0.798153 | − | 0.602455i | \(-0.205811\pi\) | |||||||
\(578\) | −2.80580 | − | 4.85978i | −0.116706 | − | 0.202140i | ||||
\(579\) | −9.17569 | − | 2.45862i | −0.381329 | − | 0.102177i | ||||
\(580\) | −37.0638 | − | 4.75287i | −1.53899 | − | 0.197352i | ||||
\(581\) | 3.93127 | + | 6.80916i | 0.163097 | + | 0.282491i | ||||
\(582\) | −3.17355 | + | 0.850351i | −0.131548 | + | 0.0352482i | ||||
\(583\) | 2.08281 | + | 1.20251i | 0.0862613 | + | 0.0498030i | ||||
\(584\) | 6.26369 | 0.259193 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.53726 | −0.270052 | ||||||||
\(587\) | 17.0534 | + | 9.84577i | 0.703868 | + | 0.406379i | 0.808787 | − | 0.588102i | \(-0.200125\pi\) |
−0.104918 | + | 0.994481i | \(0.533458\pi\) | |||||||
\(588\) | 10.3830 | − | 2.78213i | 0.428189 | − | 0.114733i | ||||
\(589\) | 18.6524 | + | 32.3069i | 0.768558 | + | 1.33118i | ||||
\(590\) | 9.09338 | − | 7.02628i | 0.374368 | − | 0.289267i | ||||
\(591\) | −11.8667 | − | 3.17966i | −0.488129 | − | 0.130794i | ||||
\(592\) | 2.38201 | + | 4.12577i | 0.0979001 | + | 0.169568i | ||||
\(593\) | 21.8216i | 0.896106i | 0.894007 | + | 0.448053i | \(0.147882\pi\) | ||||
−0.894007 | + | 0.448053i | \(0.852118\pi\) | |||||||
\(594\) | −1.41506 | + | 0.816987i | −0.0580607 | + | 0.0335214i | ||||
\(595\) | −2.61226 | − | 19.3395i | −0.107092 | − | 0.792844i | ||||
\(596\) | 28.5009 | − | 7.63679i | 1.16744 | − | 0.312815i | ||||
\(597\) | −5.22002 | − | 5.22002i | −0.213641 | − | 0.213641i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 37.6041i | − | 1.53646i | −0.640172 | − | 0.768232i | \(-0.721137\pi\) | ||
0.640172 | − | 0.768232i | \(-0.278863\pi\) | |||||||
\(600\) | −0.0586345 | − | 8.72256i | −0.00239374 | − | 0.356097i | ||||
\(601\) | 10.1487 | − | 17.5781i | 0.413976 | − | 0.717027i | −0.581344 | − | 0.813658i | \(-0.697473\pi\) |
0.995320 | + | 0.0966302i | \(0.0308064\pi\) | |||||||
\(602\) | −1.01800 | + | 3.79922i | −0.0414905 | + | 0.154845i | ||||
\(603\) | 25.9113 | 1.05519 | ||||||||
\(604\) | 2.13103 | − | 7.95310i | 0.0867103 | − | 0.323607i | ||||
\(605\) | 9.08113 | + | 21.7171i | 0.369201 | + | 0.882924i | ||||
\(606\) | 4.91641 | + | 4.91641i | 0.199716 | + | 0.199716i | ||||
\(607\) | −33.2808 | − | 8.91757i | −1.35083 | − | 0.361953i | −0.490387 | − | 0.871505i | \(-0.663144\pi\) |
−0.860440 | + | 0.509552i | \(0.829811\pi\) | |||||||
\(608\) | −7.07732 | − | 26.4129i | −0.287023 | − | 1.07119i | ||||
\(609\) | −8.51314 | − | 31.7715i | −0.344970 | − | 1.28744i | ||||
\(610\) | 6.78955 | + | 0.870657i | 0.274901 | + | 0.0352519i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −6.23794 | + | 6.23794i | −0.252154 | + | 0.252154i | ||||
\(613\) | −12.4332 | + | 21.5350i | −0.502173 | + | 0.869790i | 0.497824 | + | 0.867278i | \(0.334133\pi\) |
−0.999997 | + | 0.00251133i | \(0.999201\pi\) | |||||||
\(614\) | −6.62053 | − | 3.82236i | −0.267183 | − | 0.154258i | ||||
\(615\) | −1.07449 | + | 0.449307i | −0.0433277 | + | 0.0181178i | ||||
\(616\) | −3.31563 | + | 3.31563i | −0.133591 | + | 0.133591i | ||||
\(617\) | −24.0895 | + | 13.9081i | −0.969805 | + | 0.559917i | −0.899177 | − | 0.437585i | \(-0.855834\pi\) |
−0.0706286 | + | 0.997503i | \(0.522501\pi\) | |||||||
\(618\) | 1.80809 | − | 1.04390i | 0.0727321 | − | 0.0419919i | ||||
\(619\) | 19.5593 | − | 19.5593i | 0.786156 | − | 0.786156i | −0.194705 | − | 0.980862i | \(-0.562375\pi\) |
0.980862 | + | 0.194705i | \(0.0623751\pi\) | |||||||
\(620\) | 10.1513 | − | 24.7422i | 0.407685 | − | 0.993671i | ||||
\(621\) | 5.64213 | + | 3.25749i | 0.226411 | + | 0.130718i | ||||
\(622\) | 1.32099 | − | 2.28803i | 0.0529671 | − | 0.0917416i | ||||
\(623\) | 8.77838 | − | 8.77838i | 0.351698 | − | 0.351698i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.8167 | + | 12.2078i | 0.872669 | + | 0.488312i | ||||
\(626\) | −4.40965 | − | 16.4570i | −0.176245 | − | 0.657755i | ||||
\(627\) | 0.916783 | + | 3.42148i | 0.0366128 | + | 0.136641i | ||||
\(628\) | −23.6990 | − | 6.35012i | −0.945692 | − | 0.253397i | ||||
\(629\) | 3.08139 | + | 3.08139i | 0.122863 | + | 0.122863i | ||||
\(630\) | −7.92308 | + | 3.31309i | −0.315663 | + | 0.131997i | ||||
\(631\) | 3.38116 | − | 12.6187i | 0.134602 | − | 0.502341i | −0.865397 | − | 0.501086i | \(-0.832934\pi\) |
0.999999 | − | 0.00125496i | \(-0.000399466\pi\) | |||||||
\(632\) | 5.79076 | 0.230344 | ||||||||
\(633\) | −3.02393 | + | 11.2855i | −0.120190 | + | 0.448557i | ||||
\(634\) | −4.68840 | + | 8.12054i | −0.186200 | + | 0.322508i | ||||
\(635\) | −2.48422 | − | 18.3916i | −0.0985832 | − | 0.729850i | ||||
\(636\) | 5.77534i | 0.229007i | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.28552 | + | 2.28552i | 0.0904846 | + | 0.0904846i | ||||
\(639\) | 13.6991 | − | 3.67067i | 0.541929 | − | 0.145210i | ||||
\(640\) | −15.3566 | + | 20.1530i | −0.607023 | + | 0.796617i | ||||
\(641\) | −23.7092 | + | 13.6885i | −0.936456 | + | 0.540663i | −0.888848 | − | 0.458203i | \(-0.848493\pi\) |
−0.0476083 | + | 0.998866i | \(0.515160\pi\) | |||||||
\(642\) | 7.08428i | 0.279594i | ||||||||
\(643\) | 15.7510 | + | 27.2816i | 0.621161 | + | 1.07588i | 0.989270 | + | 0.146099i | \(0.0466719\pi\) |
−0.368109 | + | 0.929783i | \(0.619995\pi\) | |||||||
\(644\) | 8.44305 | + | 2.26231i | 0.332703 | + | 0.0891475i | ||||
\(645\) | 0.579501 | − | 4.51907i | 0.0228178 | − | 0.177938i | ||||
\(646\) | −3.21181 | − | 5.56301i | −0.126367 | − | 0.218874i | ||||
\(647\) | 40.3457 | − | 10.8106i | 1.58615 | − | 0.425008i | 0.645329 | − | 0.763905i | \(-0.276720\pi\) |
0.940824 | + | 0.338896i | \(0.110054\pi\) | |||||||
\(648\) | 2.92875 | + | 1.69092i | 0.115052 | + | 0.0664254i | ||||
\(649\) | 7.15565 | 0.280884 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 23.5409 | 0.922641 | ||||||||
\(652\) | 0.200698 | + | 0.115873i | 0.00785996 | + | 0.00453795i | ||||
\(653\) | 14.6695 | − | 3.93069i | 0.574064 | − | 0.153820i | 0.0399041 | − | 0.999204i | \(-0.487295\pi\) |
0.534160 | + | 0.845384i | \(0.320628\pi\) | |||||||
\(654\) | 0.741918 | + | 1.28504i | 0.0290113 | + | 0.0502490i | ||||
\(655\) | 0.390807 | − | 3.04759i | 0.0152701 | − | 0.119079i | ||||
\(656\) | 1.38876 | + | 0.372117i | 0.0542220 | + | 0.0145287i | ||||
\(657\) | 3.57167 | + | 6.18632i | 0.139344 | + | 0.241351i | ||||
\(658\) | 6.91493i | 0.269572i | ||||||||
\(659\) | 24.6914 | − | 14.2556i | 0.961840 | − | 0.555319i | 0.0651015 | − | 0.997879i | \(-0.479263\pi\) |
0.896739 | + | 0.442560i | \(0.145930\pi\) | |||||||
\(660\) | 1.53910 | − | 2.01981i | 0.0599092 | − | 0.0786210i | ||||
\(661\) | −6.08664 | + | 1.63091i | −0.236743 | + | 0.0634351i | −0.375240 | − | 0.926928i | \(-0.622440\pi\) |
0.138497 | + | 0.990363i | \(0.455773\pi\) | |||||||
\(662\) | 2.45054 | + | 2.45054i | 0.0952430 | + | 0.0952430i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 3.96845i | − | 0.154006i | ||||||
\(665\) | 6.02575 | + | 44.6110i | 0.233669 | + | 1.72994i | ||||
\(666\) | 0.958840 | − | 1.66076i | 0.0371543 | − | 0.0643531i | ||||
\(667\) | 3.33552 | − | 12.4483i | 0.129152 | − | 0.482002i | ||||
\(668\) | −37.9955 | −1.47009 | ||||||||
\(669\) | 2.42052 | − | 9.03352i | 0.0935829 | − | 0.349256i | ||||
\(670\) | 12.4790 | − | 5.21816i | 0.482104 | − | 0.201595i | ||||
\(671\) | 3.01394 | + | 3.01394i | 0.116352 | + | 0.116352i | ||||
\(672\) | −16.6677 | − | 4.46610i | −0.642970 | − | 0.172283i | ||||
\(673\) | 5.92931 | + | 22.1285i | 0.228558 | + | 0.852991i | 0.980948 | + | 0.194272i | \(0.0622345\pi\) |
−0.752389 | + | 0.658719i | \(0.771099\pi\) | |||||||
\(674\) | 0.199212 | + | 0.743468i | 0.00767334 | + | 0.0286373i | ||||
\(675\) | 20.7498 | − | 12.1666i | 0.798660 | − | 0.468293i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.1247 | + | 16.1247i | −0.619724 | + | 0.619724i | −0.945461 | − | 0.325736i | \(-0.894388\pi\) |
0.325736 | + | 0.945461i | \(0.394388\pi\) | |||||||
\(678\) | −3.84825 | + | 6.66536i | −0.147791 | + | 0.255982i | ||||
\(679\) | −22.5163 | − | 12.9998i | −0.864096 | − | 0.498886i | ||||
\(680\) | −3.73877 | + | 9.11270i | −0.143375 | + | 0.349456i | ||||
\(681\) | 9.71227 | − | 9.71227i | 0.372175 | − | 0.372175i | ||||
\(682\) | −2.00337 | + | 1.15664i | −0.0767129 | + | 0.0442902i | ||||
\(683\) | 27.7544 | − | 16.0240i | 1.06199 | − | 0.613142i | 0.136010 | − | 0.990707i | \(-0.456572\pi\) |
0.925983 | + | 0.377565i | \(0.123239\pi\) | |||||||
\(684\) | 14.3892 | − | 14.3892i | 0.550185 | − | 0.550185i | ||||
\(685\) | 25.4315 | − | 10.6343i | 0.971686 | − | 0.406317i | ||||
\(686\) | 0.771532 | + | 0.445444i | 0.0294572 | + | 0.0170071i | ||||
\(687\) | −10.3856 | + | 17.9883i | −0.396234 | + | 0.686298i | ||||
\(688\) | −3.97707 | + | 3.97707i | −0.151624 | + | 0.151624i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 1.39507 | + | 0.178896i | 0.0531093 | + | 0.00681046i | ||||
\(691\) | −0.142620 | − | 0.532264i | −0.00542551 | − | 0.0202483i | 0.963160 | − | 0.268929i | \(-0.0866697\pi\) |
−0.968586 | + | 0.248681i | \(0.920003\pi\) | |||||||
\(692\) | −3.51496 | − | 13.1180i | −0.133619 | − | 0.498672i | ||||
\(693\) | −5.16531 | − | 1.38404i | −0.196214 | − | 0.0525754i | ||||
\(694\) | 9.02132 | + | 9.02132i | 0.342445 | + | 0.342445i | ||||
\(695\) | 5.52228 | + | 13.2062i | 0.209472 | + | 0.500941i | ||||
\(696\) | −4.29682 | + | 16.0360i | −0.162871 | + | 0.607842i | ||||
\(697\) | 1.31514 | 0.0498144 | ||||||||
\(698\) | −1.20160 | + | 4.48442i | −0.0454811 | + | 0.169738i | ||||
\(699\) | 11.0134 | − | 19.0758i | 0.416565 | − | 0.721512i | ||||
\(700\) | 22.6658 | − | 22.9726i | 0.856687 | − | 0.868282i | ||||
\(701\) | 9.52279i | 0.359671i | 0.983697 | + | 0.179835i | \(0.0575565\pi\) | ||||
−0.983697 | + | 0.179835i | \(0.942443\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.10792 | − | 7.10792i | −0.268080 | − | 0.268080i | ||||
\(704\) | −1.81077 | + | 0.485195i | −0.0682460 | + | 0.0182865i | ||||
\(705\) | −1.07219 | − | 7.93782i | −0.0403809 | − | 0.298956i | ||||
\(706\) | 1.39674 | − | 0.806411i | 0.0525672 | − | 0.0303497i | ||||
\(707\) | 55.0209i | 2.06927i | ||||||||
\(708\) | 8.59166 | + | 14.8812i | 0.322894 | + | 0.559270i | ||||
\(709\) | 31.3471 | + | 8.39944i | 1.17727 | + | 0.315448i | 0.793842 | − | 0.608124i | \(-0.208078\pi\) |
0.383425 | + | 0.923572i | \(0.374745\pi\) | |||||||
\(710\) | 5.85831 | − | 4.52661i | 0.219859 | − | 0.169881i | ||||
\(711\) | 3.30200 | + | 5.71923i | 0.123835 | + | 0.214488i | ||||
\(712\) | −6.05244 | + | 1.62175i | −0.226825 | + | 0.0607776i | ||||
\(713\) | 7.98782 | + | 4.61177i | 0.299146 | + | 0.172712i | ||||
\(714\) | −4.05358 | −0.151701 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −28.7180 | −1.07324 | ||||||||
\(717\) | 16.8180 | + | 9.70986i | 0.628079 | + | 0.362621i | ||||
\(718\) | 2.10561 | − | 0.564197i | 0.0785808 | − | 0.0210557i | ||||
\(719\) | 4.21240 | + | 7.29608i | 0.157096 | + | 0.272098i | 0.933820 | − | 0.357743i | \(-0.116454\pi\) |
−0.776724 | + | 0.629841i | \(0.783120\pi\) | |||||||
\(720\) | −12.1807 | − | 1.56199i | −0.453947 | − | 0.0582118i | ||||
\(721\) | 15.9587 | + | 4.27612i | 0.594333 | + | 0.159251i | ||||
\(722\) | 2.71668 | + | 4.70543i | 0.101104 | + | 0.175118i | ||||
\(723\) | − | 2.91423i | − | 0.108381i | ||||||
\(724\) | 27.4332 | − | 15.8385i | 1.01955 | − | 0.588635i | ||||
\(725\) | −33.8705 | − | 33.4182i | −1.25792 | − | 1.24112i | ||||
\(726\) | 4.72284 | − | 1.26548i | 0.175281 | − | 0.0469664i | ||||
\(727\) | −8.33682 | − | 8.33682i | −0.309195 | − | 0.309195i | 0.535402 | − | 0.844597i | \(-0.320160\pi\) |
−0.844597 | + | 0.535402i | \(0.820160\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | − | 9.71523i | − | 0.359824i | ||||||
\(730\) | 2.96596 | + | 2.26006i | 0.109775 | + | 0.0836487i | ||||
\(731\) | −2.57239 | + | 4.45551i | −0.0951432 | + | 0.164793i | ||||
\(732\) | −2.64913 | + | 9.88670i | −0.0979148 | + | 0.365423i | ||||
\(733\) | 18.6238 | 0.687887 | 0.343944 | − | 0.938990i | \(-0.388237\pi\) | ||||
0.343944 | + | 0.938990i | \(0.388237\pi\) | |||||||
\(734\) | 3.20725 | − | 11.9696i | 0.118382 | − | 0.441807i | ||||
\(735\) | 12.6632 | + | 5.19547i | 0.467089 | + | 0.191638i | ||||
\(736\) | −4.78070 | − | 4.78070i | −0.176219 | − | 0.176219i | ||||
\(737\) | 8.13543 | + | 2.17988i | 0.299672 | + | 0.0802970i | ||||
\(738\) | −0.149790 | − | 0.559023i | −0.00551383 | − | 0.0205779i | ||||
\(739\) | −8.54061 | − | 31.8740i | −0.314171 | − | 1.17250i | −0.924758 | − | 0.380555i | \(-0.875733\pi\) |
0.610587 | − | 0.791949i | \(-0.290934\pi\) | |||||||
\(740\) | −0.916598 | + | 7.14782i | −0.0336948 | + | 0.262759i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.48920 | − | 4.48920i | 0.164804 | − | 0.164804i | ||||
\(743\) | 18.7850 | − | 32.5366i | 0.689155 | − | 1.19365i | −0.282957 | − | 0.959133i | \(-0.591315\pi\) |
0.972112 | − | 0.234518i | \(-0.0753512\pi\) | |||||||
\(744\) | −10.2899 | − | 5.94088i | −0.377246 | − | 0.217803i | ||||
\(745\) | 34.7598 | + | 14.2613i | 1.27350 | + | 0.522493i | ||||
\(746\) | 3.99061 | − | 3.99061i | 0.146107 | − | 0.146107i | ||||
\(747\) | 3.91943 | − | 2.26288i | 0.143404 | − | 0.0827946i | ||||
\(748\) | −2.48333 | + | 1.43375i | −0.0907995 | + | 0.0524231i | ||||
\(749\) | −39.6410 | + | 39.6410i | −1.44845 | + | 1.44845i | ||||
\(750\) | 3.11951 | − | 4.15144i | 0.113908 | − | 0.151589i | ||||
\(751\) | 29.1051 | + | 16.8038i | 1.06206 | + | 0.613181i | 0.926001 | − | 0.377520i | \(-0.123223\pi\) |
0.136059 | + | 0.990701i | \(0.456556\pi\) | |||||||
\(752\) | −4.94407 | + | 8.56339i | −0.180292 | + | 0.312275i | ||||
\(753\) | 19.6356 | − | 19.6356i | 0.715560 | − | 0.715560i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.29623 | − | 6.41034i | 0.301931 | − | 0.233296i | ||||
\(756\) | −8.03643 | − | 29.9924i | −0.292282 | − | 1.09081i | ||||
\(757\) | −4.17654 | − | 15.5871i | −0.151799 | − | 0.566521i | −0.999358 | − | 0.0358205i | \(-0.988596\pi\) |
0.847559 | − | 0.530701i | \(-0.178071\pi\) | |||||||
\(758\) | −0.958699 | − | 0.256883i | −0.0348215 | − | 0.00933040i | ||||
\(759\) | 0.619282 | + | 0.619282i | 0.0224785 | + | 0.0224785i | ||||
\(760\) | 8.62431 | − | 21.0205i | 0.312837 | − | 0.762493i | ||||
\(761\) | −4.05514 | + | 15.1340i | −0.146999 | + | 0.548606i | 0.852660 | + | 0.522467i | \(0.174988\pi\) |
−0.999658 | + | 0.0261397i | \(0.991679\pi\) | |||||||
\(762\) | −3.85490 | −0.139648 | ||||||||
\(763\) | −3.03911 | + | 11.3421i | −0.110023 | + | 0.410612i | ||||
\(764\) | −4.55789 | + | 7.89449i | −0.164899 | + | 0.285613i | ||||
\(765\) | −11.1321 | + | 1.50364i | −0.402480 | + | 0.0543644i | ||||
\(766\) | 13.0645i | 0.472039i | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0.0960396 | + | 0.0960396i | 0.00346553 | + |