Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(25,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.e (of order \(3\), degree \(2\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Root | \(0.500000 - 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.25 |
Dual form | 126.2.e.d.121.2 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −0.796790 | − | 1.53790i | −0.460027 | − | 0.887905i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.230252 | − | 0.398809i | 0.102972 | − | 0.178353i | −0.809936 | − | 0.586519i | \(-0.800498\pi\) |
0.912908 | + | 0.408166i | \(0.133831\pi\) | |||||||
\(6\) | −0.796790 | − | 1.53790i | −0.325288 | − | 0.627844i | ||||
\(7\) | 0.0665372 | − | 2.64491i | 0.0251487 | − | 0.999684i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.73025 | + | 2.45076i | −0.576751 | + | 0.816920i | ||||
\(10\) | 0.230252 | − | 0.398809i | 0.0728122 | − | 0.126114i | ||||
\(11\) | 1.82383 | + | 3.15897i | 0.549906 | + | 0.952465i | 0.998280 | + | 0.0586193i | \(0.0186698\pi\) |
−0.448374 | + | 0.893846i | \(0.647997\pi\) | |||||||
\(12\) | −0.796790 | − | 1.53790i | −0.230013 | − | 0.443953i | ||||
\(13\) | 0.730252 | + | 1.26483i | 0.202536 | + | 0.350802i | 0.949345 | − | 0.314236i | \(-0.101748\pi\) |
−0.746809 | + | 0.665038i | \(0.768415\pi\) | |||||||
\(14\) | 0.0665372 | − | 2.64491i | 0.0177828 | − | 0.706883i | ||||
\(15\) | −0.796790 | − | 0.0363376i | −0.205730 | − | 0.00938234i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −1.86693 | + | 3.23361i | −0.452796 | + | 0.784266i | −0.998558 | − | 0.0536743i | \(-0.982907\pi\) |
0.545763 | + | 0.837940i | \(0.316240\pi\) | |||||||
\(18\) | −1.73025 | + | 2.45076i | −0.407824 | + | 0.577650i | ||||
\(19\) | −2.02704 | − | 3.51094i | −0.465035 | − | 0.805465i | 0.534168 | − | 0.845378i | \(-0.320625\pi\) |
−0.999203 | + | 0.0399136i | \(0.987292\pi\) | |||||||
\(20\) | 0.230252 | − | 0.398809i | 0.0514860 | − | 0.0891764i | ||||
\(21\) | −4.12062 | + | 2.00511i | −0.899193 | + | 0.437552i | ||||
\(22\) | 1.82383 | + | 3.15897i | 0.388842 | + | 0.673495i | ||||
\(23\) | −0.566537 | + | 0.981271i | −0.118131 | + | 0.204609i | −0.919027 | − | 0.394194i | \(-0.871024\pi\) |
0.800896 | + | 0.598804i | \(0.204357\pi\) | |||||||
\(24\) | −0.796790 | − | 1.53790i | −0.162644 | − | 0.313922i | ||||
\(25\) | 2.39397 | + | 4.14647i | 0.478794 | + | 0.829295i | ||||
\(26\) | 0.730252 | + | 1.26483i | 0.143214 | + | 0.248054i | ||||
\(27\) | 5.14766 | + | 0.708209i | 0.990668 | + | 0.136295i | ||||
\(28\) | 0.0665372 | − | 2.64491i | 0.0125744 | − | 0.499842i | ||||
\(29\) | −4.48755 | + | 7.77266i | −0.833317 | + | 1.44335i | 0.0620772 | + | 0.998071i | \(0.480228\pi\) |
−0.895394 | + | 0.445275i | \(0.853106\pi\) | |||||||
\(30\) | −0.796790 | − | 0.0363376i | −0.145473 | − | 0.00663431i | ||||
\(31\) | −0.514589 | −0.0924229 | −0.0462115 | − | 0.998932i | \(-0.514715\pi\) | ||||
−0.0462115 | + | 0.998932i | \(0.514715\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 3.40496 | − | 5.32190i | 0.592727 | − | 0.926424i | ||||
\(34\) | −1.86693 | + | 3.23361i | −0.320175 | + | 0.554560i | ||||
\(35\) | −1.03950 | − | 0.635534i | −0.175707 | − | 0.107425i | ||||
\(36\) | −1.73025 | + | 2.45076i | −0.288375 | + | 0.408460i | ||||
\(37\) | −4.55408 | − | 7.88791i | −0.748687 | − | 1.29676i | −0.948452 | − | 0.316920i | \(-0.897351\pi\) |
0.199765 | − | 0.979844i | \(-0.435982\pi\) | |||||||
\(38\) | −2.02704 | − | 3.51094i | −0.328830 | − | 0.569550i | ||||
\(39\) | 1.36333 | − | 2.13086i | 0.218307 | − | 0.341211i | ||||
\(40\) | 0.230252 | − | 0.398809i | 0.0364061 | − | 0.0630572i | ||||
\(41\) | −0.472958 | − | 0.819187i | −0.0738636 | − | 0.127936i | 0.826728 | − | 0.562602i | \(-0.190200\pi\) |
−0.900592 | + | 0.434666i | \(0.856866\pi\) | |||||||
\(42\) | −4.12062 | + | 2.00511i | −0.635826 | + | 0.309396i | ||||
\(43\) | 4.66372 | − | 8.07779i | 0.711210 | − | 1.23185i | −0.253193 | − | 0.967416i | \(-0.581481\pi\) |
0.964403 | − | 0.264436i | \(-0.0851858\pi\) | |||||||
\(44\) | 1.82383 | + | 3.15897i | 0.274953 | + | 0.476233i | ||||
\(45\) | 0.578990 | + | 1.25433i | 0.0863108 | + | 0.186985i | ||||
\(46\) | −0.566537 | + | 0.981271i | −0.0835314 | + | 0.144681i | ||||
\(47\) | 2.32743 | 0.339491 | 0.169745 | − | 0.985488i | \(-0.445705\pi\) | ||||
0.169745 | + | 0.985488i | \(0.445705\pi\) | |||||||
\(48\) | −0.796790 | − | 1.53790i | −0.115007 | − | 0.221976i | ||||
\(49\) | −6.99115 | − | 0.351971i | −0.998735 | − | 0.0502815i | ||||
\(50\) | 2.39397 | + | 4.14647i | 0.338558 | + | 0.586400i | ||||
\(51\) | 6.46050 | + | 0.294632i | 0.904652 | + | 0.0412567i | ||||
\(52\) | 0.730252 | + | 1.26483i | 0.101268 | + | 0.175401i | ||||
\(53\) | 6.21780 | − | 10.7695i | 0.854080 | − | 1.47931i | −0.0234151 | − | 0.999726i | \(-0.507454\pi\) |
0.877495 | − | 0.479585i | \(-0.159213\pi\) | |||||||
\(54\) | 5.14766 | + | 0.708209i | 0.700508 | + | 0.0963750i | ||||
\(55\) | 1.67977 | 0.226500 | ||||||||
\(56\) | 0.0665372 | − | 2.64491i | 0.00889141 | − | 0.353442i | ||||
\(57\) | −3.78434 | + | 5.91486i | −0.501248 | + | 0.783443i | ||||
\(58\) | −4.48755 | + | 7.77266i | −0.589244 | + | 1.02060i | ||||
\(59\) | −12.8961 | −1.67893 | −0.839465 | − | 0.543414i | \(-0.817131\pi\) | ||||
−0.839465 | + | 0.543414i | \(0.817131\pi\) | |||||||
\(60\) | −0.796790 | − | 0.0363376i | −0.102865 | − | 0.00469117i | ||||
\(61\) | 12.0833 | 1.54710 | 0.773552 | − | 0.633733i | \(-0.218478\pi\) | ||||
0.773552 | + | 0.633733i | \(0.218478\pi\) | |||||||
\(62\) | −0.514589 | −0.0653529 | ||||||||
\(63\) | 6.36693 | + | 4.73944i | 0.802157 | + | 0.597113i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.672570 | 0.0834220 | ||||||||
\(66\) | 3.40496 | − | 5.32190i | 0.419121 | − | 0.655080i | ||||
\(67\) | −2.32023 | −0.283462 | −0.141731 | − | 0.989905i | \(-0.545267\pi\) | ||||
−0.141731 | + | 0.989905i | \(0.545267\pi\) | |||||||
\(68\) | −1.86693 | + | 3.23361i | −0.226398 | + | 0.392133i | ||||
\(69\) | 1.96050 | + | 0.0894089i | 0.236017 | + | 0.0107636i | ||||
\(70\) | −1.03950 | − | 0.635534i | −0.124243 | − | 0.0759608i | ||||
\(71\) | 1.67977 | 0.199352 | 0.0996758 | − | 0.995020i | \(-0.468219\pi\) | ||||
0.0996758 | + | 0.995020i | \(0.468219\pi\) | |||||||
\(72\) | −1.73025 | + | 2.45076i | −0.203912 | + | 0.288825i | ||||
\(73\) | −6.62062 | + | 11.4673i | −0.774885 | + | 1.34214i | 0.159974 | + | 0.987121i | \(0.448859\pi\) |
−0.934859 | + | 0.355019i | \(0.884474\pi\) | |||||||
\(74\) | −4.55408 | − | 7.88791i | −0.529402 | − | 0.916950i | ||||
\(75\) | 4.46936 | − | 6.98554i | 0.516077 | − | 0.806621i | ||||
\(76\) | −2.02704 | − | 3.51094i | −0.232518 | − | 0.402732i | ||||
\(77\) | 8.47656 | − | 4.61369i | 0.965993 | − | 0.525779i | ||||
\(78\) | 1.36333 | − | 2.13086i | 0.154366 | − | 0.241272i | ||||
\(79\) | −5.00720 | −0.563354 | −0.281677 | − | 0.959509i | \(-0.590891\pi\) | ||||
−0.281677 | + | 0.959509i | \(0.590891\pi\) | |||||||
\(80\) | 0.230252 | − | 0.398809i | 0.0257430 | − | 0.0445882i | ||||
\(81\) | −3.01245 | − | 8.48087i | −0.334717 | − | 0.942319i | ||||
\(82\) | −0.472958 | − | 0.819187i | −0.0522295 | − | 0.0904641i | ||||
\(83\) | 3.32383 | − | 5.75705i | 0.364838 | − | 0.631918i | −0.623912 | − | 0.781494i | \(-0.714458\pi\) |
0.988750 | + | 0.149577i | \(0.0477911\pi\) | |||||||
\(84\) | −4.12062 | + | 2.00511i | −0.449597 | + | 0.218776i | ||||
\(85\) | 0.859728 | + | 1.48909i | 0.0932506 | + | 0.161515i | ||||
\(86\) | 4.66372 | − | 8.07779i | 0.502901 | − | 0.871051i | ||||
\(87\) | 15.5292 | + | 0.708209i | 1.66490 | + | 0.0759280i | ||||
\(88\) | 1.82383 | + | 3.15897i | 0.194421 | + | 0.336747i | ||||
\(89\) | −1.36333 | − | 2.36135i | −0.144512 | − | 0.250303i | 0.784679 | − | 0.619903i | \(-0.212828\pi\) |
−0.929191 | + | 0.369600i | \(0.879495\pi\) | |||||||
\(90\) | 0.578990 | + | 1.25433i | 0.0610309 | + | 0.132218i | ||||
\(91\) | 3.39397 | − | 1.84730i | 0.355784 | − | 0.193649i | ||||
\(92\) | −0.566537 | + | 0.981271i | −0.0590656 | + | 0.102305i | ||||
\(93\) | 0.410019 | + | 0.791385i | 0.0425170 | + | 0.0820628i | ||||
\(94\) | 2.32743 | 0.240056 | ||||||||
\(95\) | −1.86693 | −0.191543 | ||||||||
\(96\) | −0.796790 | − | 1.53790i | −0.0813220 | − | 0.156961i | ||||
\(97\) | −5.59358 | + | 9.68836i | −0.567942 | + | 0.983704i | 0.428827 | + | 0.903386i | \(0.358927\pi\) |
−0.996769 | + | 0.0803178i | \(0.974406\pi\) | |||||||
\(98\) | −6.99115 | − | 0.351971i | −0.706212 | − | 0.0355544i | ||||
\(99\) | −10.8976 | − | 0.996040i | −1.09525 | − | 0.100106i | ||||
\(100\) | 2.39397 | + | 4.14647i | 0.239397 | + | 0.414647i | ||||
\(101\) | −6.87792 | − | 11.9129i | −0.684378 | − | 1.18538i | −0.973632 | − | 0.228125i | \(-0.926740\pi\) |
0.289254 | − | 0.957253i | \(-0.406593\pi\) | |||||||
\(102\) | 6.46050 | + | 0.294632i | 0.639685 | + | 0.0291729i | ||||
\(103\) | −5.58113 | + | 9.66679i | −0.549925 | + | 0.952498i | 0.448354 | + | 0.893856i | \(0.352010\pi\) |
−0.998279 | + | 0.0586417i | \(0.981323\pi\) | |||||||
\(104\) | 0.730252 | + | 1.26483i | 0.0716071 | + | 0.124027i | ||||
\(105\) | −0.149126 | + | 2.10502i | −0.0145532 | + | 0.205429i | ||||
\(106\) | 6.21780 | − | 10.7695i | 0.603926 | − | 1.04603i | ||||
\(107\) | −3.89037 | − | 6.73832i | −0.376096 | − | 0.651418i | 0.614394 | − | 0.788999i | \(-0.289400\pi\) |
−0.990490 | + | 0.137581i | \(0.956067\pi\) | |||||||
\(108\) | 5.14766 | + | 0.708209i | 0.495334 | + | 0.0681474i | ||||
\(109\) | −3.75729 | + | 6.50783i | −0.359884 | + | 0.623337i | −0.987941 | − | 0.154830i | \(-0.950517\pi\) |
0.628058 | + | 0.778167i | \(0.283850\pi\) | |||||||
\(110\) | 1.67977 | 0.160159 | ||||||||
\(111\) | −8.50214 | + | 13.2887i | −0.806987 | + | 1.26131i | ||||
\(112\) | 0.0665372 | − | 2.64491i | 0.00628718 | − | 0.249921i | ||||
\(113\) | 3.03064 | + | 5.24922i | 0.285099 | + | 0.493805i | 0.972633 | − | 0.232346i | \(-0.0746403\pi\) |
−0.687534 | + | 0.726152i | \(0.741307\pi\) | |||||||
\(114\) | −3.78434 | + | 5.91486i | −0.354436 | + | 0.553978i | ||||
\(115\) | 0.260893 | + | 0.451880i | 0.0243284 | + | 0.0421380i | ||||
\(116\) | −4.48755 | + | 7.77266i | −0.416658 | + | 0.721673i | ||||
\(117\) | −4.36333 | − | 0.398809i | −0.403390 | − | 0.0368699i | ||||
\(118\) | −12.8961 | −1.18718 | ||||||||
\(119\) | 8.42840 | + | 5.15301i | 0.772630 | + | 0.472376i | ||||
\(120\) | −0.796790 | − | 0.0363376i | −0.0727366 | − | 0.00331716i | ||||
\(121\) | −1.15272 | + | 1.99658i | −0.104793 | + | 0.181507i | ||||
\(122\) | 12.0833 | 1.09397 | ||||||||
\(123\) | −0.882977 | + | 1.38008i | −0.0796154 | + | 0.124438i | ||||
\(124\) | −0.514589 | −0.0462115 | ||||||||
\(125\) | 4.50739 | 0.403153 | ||||||||
\(126\) | 6.36693 | + | 4.73944i | 0.567211 | + | 0.422223i | ||||
\(127\) | 8.80992 | 0.781754 | 0.390877 | − | 0.920443i | \(-0.372172\pi\) | ||||
0.390877 | + | 0.920443i | \(0.372172\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −16.1388 | − | 0.736011i | −1.42094 | − | 0.0648022i | ||||
\(130\) | 0.672570 | 0.0589883 | ||||||||
\(131\) | −10.5687 | + | 18.3055i | −0.923389 | + | 1.59936i | −0.129258 | + | 0.991611i | \(0.541260\pi\) |
−0.794131 | + | 0.607746i | \(0.792074\pi\) | |||||||
\(132\) | 3.40496 | − | 5.32190i | 0.296364 | − | 0.463212i | ||||
\(133\) | −9.42101 | + | 5.12774i | −0.816905 | + | 0.444632i | ||||
\(134\) | −2.32023 | −0.200438 | ||||||||
\(135\) | 1.46770 | − | 1.88987i | 0.126320 | − | 0.162654i | ||||
\(136\) | −1.86693 | + | 3.23361i | −0.160088 | + | 0.277280i | ||||
\(137\) | 2.20321 | + | 3.81607i | 0.188233 | + | 0.326029i | 0.944661 | − | 0.328048i | \(-0.106391\pi\) |
−0.756428 | + | 0.654077i | \(0.773057\pi\) | |||||||
\(138\) | 1.96050 | + | 0.0894089i | 0.166889 | + | 0.00761099i | ||||
\(139\) | −1.01245 | − | 1.75362i | −0.0858751 | − | 0.148740i | 0.819889 | − | 0.572523i | \(-0.194035\pi\) |
−0.905764 | + | 0.423783i | \(0.860702\pi\) | |||||||
\(140\) | −1.03950 | − | 0.635534i | −0.0878534 | − | 0.0537124i | ||||
\(141\) | −1.85447 | − | 3.57935i | −0.156175 | − | 0.301435i | ||||
\(142\) | 1.67977 | 0.140963 | ||||||||
\(143\) | −2.66372 | + | 4.61369i | −0.222751 | + | 0.385816i | ||||
\(144\) | −1.73025 | + | 2.45076i | −0.144188 | + | 0.204230i | ||||
\(145\) | 2.06654 | + | 3.57935i | 0.171617 | + | 0.297249i | ||||
\(146\) | −6.62062 | + | 11.4673i | −0.547927 | + | 0.949037i | ||||
\(147\) | 5.02918 | + | 11.0321i | 0.414800 | + | 0.909913i | ||||
\(148\) | −4.55408 | − | 7.88791i | −0.374343 | − | 0.648382i | ||||
\(149\) | 4.58113 | − | 7.93474i | 0.375300 | − | 0.650040i | −0.615071 | − | 0.788471i | \(-0.710873\pi\) |
0.990372 | + | 0.138432i | \(0.0442062\pi\) | |||||||
\(150\) | 4.46936 | − | 6.98554i | 0.364922 | − | 0.570367i | ||||
\(151\) | 0.0519482 | + | 0.0899768i | 0.00422748 | + | 0.00732221i | 0.868131 | − | 0.496334i | \(-0.165321\pi\) |
−0.863904 | + | 0.503657i | \(0.831988\pi\) | |||||||
\(152\) | −2.02704 | − | 3.51094i | −0.164415 | − | 0.284775i | ||||
\(153\) | −4.69455 | − | 10.1703i | −0.379532 | − | 0.822224i | ||||
\(154\) | 8.47656 | − | 4.61369i | 0.683060 | − | 0.371782i | ||||
\(155\) | −0.118485 | + | 0.205223i | −0.00951698 | + | 0.0164839i | ||||
\(156\) | 1.36333 | − | 2.13086i | 0.109154 | − | 0.170605i | ||||
\(157\) | 20.9823 | 1.67457 | 0.837285 | − | 0.546767i | \(-0.184142\pi\) | ||||
0.837285 | + | 0.546767i | \(0.184142\pi\) | |||||||
\(158\) | −5.00720 | −0.398351 | ||||||||
\(159\) | −21.5167 | − | 0.981271i | −1.70639 | − | 0.0778199i | ||||
\(160\) | 0.230252 | − | 0.398809i | 0.0182031 | − | 0.0315286i | ||||
\(161\) | 2.55768 | + | 1.56373i | 0.201574 | + | 0.123239i | ||||
\(162\) | −3.01245 | − | 8.48087i | −0.236681 | − | 0.666320i | ||||
\(163\) | −11.5182 | − | 19.9501i | −0.902174 | − | 1.56261i | −0.824666 | − | 0.565620i | \(-0.808637\pi\) |
−0.0775078 | − | 0.996992i | \(-0.524696\pi\) | |||||||
\(164\) | −0.472958 | − | 0.819187i | −0.0369318 | − | 0.0639678i | ||||
\(165\) | −1.33842 | − | 2.58331i | −0.104196 | − | 0.201110i | ||||
\(166\) | 3.32383 | − | 5.75705i | 0.257979 | − | 0.446833i | ||||
\(167\) | −5.31498 | − | 9.20581i | −0.411285 | − | 0.712367i | 0.583745 | − | 0.811937i | \(-0.301587\pi\) |
−0.995031 | + | 0.0995698i | \(0.968253\pi\) | |||||||
\(168\) | −4.12062 | + | 2.00511i | −0.317913 | + | 0.154698i | ||||
\(169\) | 5.43346 | − | 9.41103i | 0.417959 | − | 0.723926i | ||||
\(170\) | 0.859728 | + | 1.48909i | 0.0659382 | + | 0.114208i | ||||
\(171\) | 12.1118 | + | 1.10702i | 0.926210 | + | 0.0846558i | ||||
\(172\) | 4.66372 | − | 8.07779i | 0.355605 | − | 0.615926i | ||||
\(173\) | 2.93872 | 0.223427 | 0.111713 | − | 0.993740i | \(-0.464366\pi\) | ||||
0.111713 | + | 0.993740i | \(0.464366\pi\) | |||||||
\(174\) | 15.5292 | + | 0.708209i | 1.17726 | + | 0.0536892i | ||||
\(175\) | 11.1264 | − | 6.05594i | 0.841073 | − | 0.457786i | ||||
\(176\) | 1.82383 | + | 3.15897i | 0.137476 | + | 0.238116i | ||||
\(177\) | 10.2755 | + | 19.8329i | 0.772353 | + | 1.49073i | ||||
\(178\) | −1.36333 | − | 2.36135i | −0.102186 | − | 0.176991i | ||||
\(179\) | −4.58113 | + | 7.93474i | −0.342409 | + | 0.593071i | −0.984880 | − | 0.173240i | \(-0.944576\pi\) |
0.642470 | + | 0.766311i | \(0.277910\pi\) | |||||||
\(180\) | 0.578990 | + | 1.25433i | 0.0431554 | + | 0.0934925i | ||||
\(181\) | 22.4284 | 1.66709 | 0.833545 | − | 0.552452i | \(-0.186308\pi\) | ||||
0.833545 | + | 0.552452i | \(0.186308\pi\) | |||||||
\(182\) | 3.39397 | − | 1.84730i | 0.251578 | − | 0.136931i | ||||
\(183\) | −9.62782 | − | 18.5828i | −0.711709 | − | 1.37368i | ||||
\(184\) | −0.566537 | + | 0.981271i | −0.0417657 | + | 0.0723403i | ||||
\(185\) | −4.19436 | −0.308375 | ||||||||
\(186\) | 0.410019 | + | 0.791385i | 0.0300641 | + | 0.0580272i | ||||
\(187\) | −13.6198 | −0.995981 | ||||||||
\(188\) | 2.32743 | 0.169745 | ||||||||
\(189\) | 2.21566 | − | 13.5680i | 0.161166 | − | 0.986927i | ||||
\(190\) | −1.86693 | −0.135441 | ||||||||
\(191\) | 2.48968 | 0.180147 | 0.0900736 | − | 0.995935i | \(-0.471290\pi\) | ||||
0.0900736 | + | 0.995935i | \(0.471290\pi\) | |||||||
\(192\) | −0.796790 | − | 1.53790i | −0.0575033 | − | 0.110988i | ||||
\(193\) | 4.48968 | 0.323174 | 0.161587 | − | 0.986858i | \(-0.448339\pi\) | ||||
0.161587 | + | 0.986858i | \(0.448339\pi\) | |||||||
\(194\) | −5.59358 | + | 9.68836i | −0.401596 | + | 0.695584i | ||||
\(195\) | −0.535897 | − | 1.03434i | −0.0383763 | − | 0.0740708i | ||||
\(196\) | −6.99115 | − | 0.351971i | −0.499368 | − | 0.0251408i | ||||
\(197\) | 12.7339 | 0.907249 | 0.453625 | − | 0.891193i | \(-0.350131\pi\) | ||||
0.453625 | + | 0.891193i | \(0.350131\pi\) | |||||||
\(198\) | −10.8976 | − | 0.996040i | −0.774456 | − | 0.0707855i | ||||
\(199\) | −1.47296 | + | 2.55124i | −0.104415 | + | 0.180852i | −0.913499 | − | 0.406841i | \(-0.866630\pi\) |
0.809084 | + | 0.587693i | \(0.199964\pi\) | |||||||
\(200\) | 2.39397 | + | 4.14647i | 0.169279 | + | 0.293200i | ||||
\(201\) | 1.84874 | + | 3.56828i | 0.130400 | + | 0.251687i | ||||
\(202\) | −6.87792 | − | 11.9129i | −0.483928 | − | 0.838189i | ||||
\(203\) | 20.2594 | + | 12.3863i | 1.42193 | + | 0.869351i | ||||
\(204\) | 6.46050 | + | 0.294632i | 0.452326 | + | 0.0206283i | ||||
\(205\) | −0.435599 | −0.0304235 | ||||||||
\(206\) | −5.58113 | + | 9.66679i | −0.388855 | + | 0.673517i | ||||
\(207\) | −1.42461 | − | 3.08629i | −0.0990171 | − | 0.214512i | ||||
\(208\) | 0.730252 | + | 1.26483i | 0.0506339 | + | 0.0877005i | ||||
\(209\) | 7.39397 | − | 12.8067i | 0.511451 | − | 0.885860i | ||||
\(210\) | −0.149126 | + | 2.10502i | −0.0102907 | + | 0.145260i | ||||
\(211\) | −0.608168 | − | 1.05338i | −0.0418680 | − | 0.0725176i | 0.844332 | − | 0.535820i | \(-0.179998\pi\) |
−0.886200 | + | 0.463303i | \(0.846664\pi\) | |||||||
\(212\) | 6.21780 | − | 10.7695i | 0.427040 | − | 0.739655i | ||||
\(213\) | −1.33842 | − | 2.58331i | −0.0917071 | − | 0.177005i | ||||
\(214\) | −3.89037 | − | 6.73832i | −0.265940 | − | 0.460622i | ||||
\(215\) | −2.14766 | − | 3.71986i | −0.146469 | − | 0.253693i | ||||
\(216\) | 5.14766 | + | 0.708209i | 0.350254 | + | 0.0481875i | ||||
\(217\) | −0.0342393 | + | 1.36104i | −0.00232432 | + | 0.0923937i | ||||
\(218\) | −3.75729 | + | 6.50783i | −0.254476 | + | 0.440766i | ||||
\(219\) | 22.9107 | + | 1.04484i | 1.54816 | + | 0.0706040i | ||||
\(220\) | 1.67977 | 0.113250 | ||||||||
\(221\) | −5.45331 | −0.366829 | ||||||||
\(222\) | −8.50214 | + | 13.2887i | −0.570626 | + | 0.891880i | ||||
\(223\) | −0.445916 | + | 0.772349i | −0.0298607 | + | 0.0517203i | −0.880570 | − | 0.473917i | \(-0.842840\pi\) |
0.850709 | + | 0.525637i | \(0.176173\pi\) | |||||||
\(224\) | 0.0665372 | − | 2.64491i | 0.00444571 | − | 0.176721i | ||||
\(225\) | −14.3042 | − | 1.30740i | −0.953612 | − | 0.0871603i | ||||
\(226\) | 3.03064 | + | 5.24922i | 0.201595 | + | 0.349173i | ||||
\(227\) | 7.32597 | + | 12.6889i | 0.486242 | + | 0.842195i | 0.999875 | − | 0.0158147i | \(-0.00503418\pi\) |
−0.513633 | + | 0.858010i | \(0.671701\pi\) | |||||||
\(228\) | −3.78434 | + | 5.91486i | −0.250624 | + | 0.391721i | ||||
\(229\) | 4.78794 | − | 8.29295i | 0.316396 | − | 0.548013i | −0.663338 | − | 0.748320i | \(-0.730861\pi\) |
0.979733 | + | 0.200307i | \(0.0641939\pi\) | |||||||
\(230\) | 0.260893 | + | 0.451880i | 0.0172028 | + | 0.0297961i | ||||
\(231\) | −13.8494 | − | 9.35993i | −0.911224 | − | 0.615838i | ||||
\(232\) | −4.48755 | + | 7.77266i | −0.294622 | + | 0.510300i | ||||
\(233\) | 7.21420 | + | 12.4954i | 0.472618 | + | 0.818598i | 0.999509 | − | 0.0313345i | \(-0.00997571\pi\) |
−0.526891 | + | 0.849933i | \(0.676642\pi\) | |||||||
\(234\) | −4.36333 | − | 0.398809i | −0.285240 | − | 0.0260710i | ||||
\(235\) | 0.535897 | − | 0.928200i | 0.0349580 | − | 0.0605491i | ||||
\(236\) | −12.8961 | −0.839465 | ||||||||
\(237\) | 3.98968 | + | 7.70055i | 0.259158 | + | 0.500205i | ||||
\(238\) | 8.42840 | + | 5.15301i | 0.546332 | + | 0.334020i | ||||
\(239\) | −9.15486 | − | 15.8567i | −0.592179 | − | 1.02568i | −0.993938 | − | 0.109938i | \(-0.964935\pi\) |
0.401760 | − | 0.915745i | \(-0.368399\pi\) | |||||||
\(240\) | −0.796790 | − | 0.0363376i | −0.0514326 | − | 0.00234558i | ||||
\(241\) | −0.0466924 | − | 0.0808735i | −0.00300772 | − | 0.00520952i | 0.864518 | − | 0.502602i | \(-0.167624\pi\) |
−0.867525 | + | 0.497393i | \(0.834291\pi\) | |||||||
\(242\) | −1.15272 | + | 1.99658i | −0.0741000 | + | 0.128345i | ||||
\(243\) | −10.6424 | + | 11.3903i | −0.682711 | + | 0.730689i | ||||
\(244\) | 12.0833 | 0.773552 | ||||||||
\(245\) | −1.75010 | + | 2.70709i | −0.111810 | + | 0.172950i | ||||
\(246\) | −0.882977 | + | 1.38008i | −0.0562966 | + | 0.0879907i | ||||
\(247\) | 2.96050 | − | 5.12774i | 0.188372 | − | 0.326271i | ||||
\(248\) | −0.514589 | −0.0326764 | ||||||||
\(249\) | −11.5021 | − | 0.524555i | −0.728918 | − | 0.0332424i | ||||
\(250\) | 4.50739 | 0.285072 | ||||||||
\(251\) | −18.2733 | −1.15340 | −0.576702 | − | 0.816955i | \(-0.695661\pi\) | ||||
−0.576702 | + | 0.816955i | \(0.695661\pi\) | |||||||
\(252\) | 6.36693 | + | 4.73944i | 0.401079 | + | 0.298556i | ||||
\(253\) | −4.13307 | −0.259844 | ||||||||
\(254\) | 8.80992 | 0.552783 | ||||||||
\(255\) | 1.60505 | − | 2.50867i | 0.100512 | − | 0.157099i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 10.5256 | − | 18.2308i | 0.656568 | − | 1.13721i | −0.324931 | − | 0.945738i | \(-0.605341\pi\) |
0.981498 | − | 0.191471i | \(-0.0613257\pi\) | |||||||
\(258\) | −16.1388 | − | 0.736011i | −1.00476 | − | 0.0458221i | ||||
\(259\) | −21.1659 | + | 11.5203i | −1.31518 | + | 0.715838i | ||||
\(260\) | 0.672570 | 0.0417110 | ||||||||
\(261\) | −11.2843 | − | 24.4466i | −0.698483 | − | 1.51320i | ||||
\(262\) | −10.5687 | + | 18.3055i | −0.652935 | + | 1.13092i | ||||
\(263\) | 2.58259 | + | 4.47318i | 0.159249 | + | 0.275828i | 0.934598 | − | 0.355705i | \(-0.115759\pi\) |
−0.775349 | + | 0.631533i | \(0.782426\pi\) | |||||||
\(264\) | 3.40496 | − | 5.32190i | 0.209561 | − | 0.327540i | ||||
\(265\) | −2.86333 | − | 4.95943i | −0.175893 | − | 0.304655i | ||||
\(266\) | −9.42101 | + | 5.12774i | −0.577639 | + | 0.314402i | ||||
\(267\) | −2.54523 | + | 3.97816i | −0.155766 | + | 0.243459i | ||||
\(268\) | −2.32023 | −0.141731 | ||||||||
\(269\) | 8.42840 | − | 14.5984i | 0.513889 | − | 0.890081i | −0.485981 | − | 0.873969i | \(-0.661538\pi\) |
0.999870 | − | 0.0161123i | \(-0.00512891\pi\) | |||||||
\(270\) | 1.46770 | − | 1.88987i | 0.0893215 | − | 0.115014i | ||||
\(271\) | 12.5562 | + | 21.7480i | 0.762736 | + | 1.32110i | 0.941435 | + | 0.337194i | \(0.109478\pi\) |
−0.178699 | + | 0.983904i | \(0.557189\pi\) | |||||||
\(272\) | −1.86693 | + | 3.23361i | −0.113199 | + | 0.196066i | ||||
\(273\) | −5.54523 | − | 3.74766i | −0.335613 | − | 0.226819i | ||||
\(274\) | 2.20321 | + | 3.81607i | 0.133101 | + | 0.230537i | ||||
\(275\) | −8.73239 | + | 15.1249i | −0.526583 | + | 0.912068i | ||||
\(276\) | 1.96050 | + | 0.0894089i | 0.118009 | + | 0.00538178i | ||||
\(277\) | −1.69076 | − | 2.92848i | −0.101588 | − | 0.175955i | 0.810751 | − | 0.585391i | \(-0.199059\pi\) |
−0.912339 | + | 0.409436i | \(0.865726\pi\) | |||||||
\(278\) | −1.01245 | − | 1.75362i | −0.0607229 | − | 0.105175i | ||||
\(279\) | 0.890369 | − | 1.26113i | 0.0533050 | − | 0.0755022i | ||||
\(280\) | −1.03950 | − | 0.635534i | −0.0621217 | − | 0.0379804i | ||||
\(281\) | −10.1388 | + | 17.5609i | −0.604831 | + | 1.04760i | 0.387248 | + | 0.921976i | \(0.373426\pi\) |
−0.992078 | + | 0.125622i | \(0.959907\pi\) | |||||||
\(282\) | −1.85447 | − | 3.57935i | −0.110432 | − | 0.213147i | ||||
\(283\) | 17.3494 | 1.03132 | 0.515658 | − | 0.856795i | \(-0.327548\pi\) | ||||
0.515658 | + | 0.856795i | \(0.327548\pi\) | |||||||
\(284\) | 1.67977 | 0.0996758 | ||||||||
\(285\) | 1.48755 | + | 2.87114i | 0.0881147 | + | 0.170072i | ||||
\(286\) | −2.66372 | + | 4.61369i | −0.157509 | + | 0.272813i | ||||
\(287\) | −2.19815 | + | 1.19643i | −0.129753 | + | 0.0706228i | ||||
\(288\) | −1.73025 | + | 2.45076i | −0.101956 | + | 0.144412i | ||||
\(289\) | 1.52918 | + | 2.64861i | 0.0899517 | + | 0.155801i | ||||
\(290\) | 2.06654 | + | 3.57935i | 0.121351 | + | 0.210187i | ||||
\(291\) | 19.3566 | + | 0.882759i | 1.13470 | + | 0.0517483i | ||||
\(292\) | −6.62062 | + | 11.4673i | −0.387443 | + | 0.671070i | ||||
\(293\) | −4.93560 | − | 8.54871i | −0.288341 | − | 0.499421i | 0.685073 | − | 0.728474i | \(-0.259770\pi\) |
−0.973414 | + | 0.229054i | \(0.926437\pi\) | |||||||
\(294\) | 5.02918 | + | 11.0321i | 0.293308 | + | 0.643405i | ||||
\(295\) | −2.96936 | + | 5.14308i | −0.172883 | + | 0.299442i | ||||
\(296\) | −4.55408 | − | 7.88791i | −0.264701 | − | 0.458475i | ||||
\(297\) | 7.15126 | + | 17.5530i | 0.414958 | + | 1.01853i | ||||
\(298\) | 4.58113 | − | 7.93474i | 0.265378 | − | 0.459647i | ||||
\(299\) | −1.65486 | −0.0957031 | ||||||||
\(300\) | 4.46936 | − | 6.98554i | 0.258039 | − | 0.403310i | ||||
\(301\) | −21.0548 | − | 12.8726i | −1.21358 | − | 0.741964i | ||||
\(302\) | 0.0519482 | + | 0.0899768i | 0.00298928 | + | 0.00517759i | ||||
\(303\) | −12.8406 | + | 20.0696i | −0.737671 | + | 1.15297i | ||||
\(304\) | −2.02704 | − | 3.51094i | −0.116259 | − | 0.201366i | ||||
\(305\) | 2.78220 | − | 4.81891i | 0.159308 | − | 0.275930i | ||||
\(306\) | −4.69455 | − | 10.1703i | −0.268370 | − | 0.581400i | ||||
\(307\) | 7.78794 | 0.444481 | 0.222240 | − | 0.974992i | \(-0.428663\pi\) | ||||
0.222240 | + | 0.974992i | \(0.428663\pi\) | |||||||
\(308\) | 8.47656 | − | 4.61369i | 0.482997 | − | 0.262889i | ||||
\(309\) | 19.3135 | + | 0.880794i | 1.09871 | + | 0.0501066i | ||||
\(310\) | −0.118485 | + | 0.205223i | −0.00672952 | + | 0.0116559i | ||||
\(311\) | 15.4107 | 0.873860 | 0.436930 | − | 0.899495i | \(-0.356066\pi\) | ||||
0.436930 | + | 0.899495i | \(0.356066\pi\) | |||||||
\(312\) | 1.36333 | − | 2.13086i | 0.0771832 | − | 0.120636i | ||||
\(313\) | 8.49688 | 0.480272 | 0.240136 | − | 0.970739i | \(-0.422808\pi\) | ||||
0.240136 | + | 0.970739i | \(0.422808\pi\) | |||||||
\(314\) | 20.9823 | 1.18410 | ||||||||
\(315\) | 3.35613 | − | 1.44792i | 0.189096 | − | 0.0815810i | ||||
\(316\) | −5.00720 | −0.281677 | ||||||||
\(317\) | −14.1052 | −0.792229 | −0.396115 | − | 0.918201i | \(-0.629642\pi\) | ||||
−0.396115 | + | 0.918201i | \(0.629642\pi\) | |||||||
\(318\) | −21.5167 | − | 0.981271i | −1.20660 | − | 0.0550270i | ||||
\(319\) | −32.7381 | −1.83298 | ||||||||
\(320\) | 0.230252 | − | 0.398809i | 0.0128715 | − | 0.0222941i | ||||
\(321\) | −7.26303 | + | 11.3520i | −0.405383 | + | 0.633607i | ||||
\(322\) | 2.55768 | + | 1.56373i | 0.142534 | + | 0.0871435i | ||||
\(323\) | 15.1373 | 0.842264 | ||||||||
\(324\) | −3.01245 | − | 8.48087i | −0.167359 | − | 0.471159i | ||||
\(325\) | −3.49640 | + | 6.05594i | −0.193945 | + | 0.335923i | ||||
\(326\) | −11.5182 | − | 19.9501i | −0.637933 | − | 1.10493i | ||||
\(327\) | 13.0021 | + | 0.592963i | 0.719020 | + | 0.0327909i | ||||
\(328\) | −0.472958 | − | 0.819187i | −0.0261147 | − | 0.0452320i | ||||
\(329\) | 0.154861 | − | 6.15585i | 0.00853775 | − | 0.339383i | ||||
\(330\) | −1.33842 | − | 2.58331i | −0.0736776 | − | 0.142206i | ||||
\(331\) | 27.5438 | 1.51394 | 0.756971 | − | 0.653448i | \(-0.226678\pi\) | ||||
0.756971 | + | 0.653448i | \(0.226678\pi\) | |||||||
\(332\) | 3.32383 | − | 5.75705i | 0.182419 | − | 0.315959i | ||||
\(333\) | 27.2111 | + | 2.48710i | 1.49116 | + | 0.136292i | ||||
\(334\) | −5.31498 | − | 9.20581i | −0.290823 | − | 0.503720i | ||||
\(335\) | −0.534239 | + | 0.925330i | −0.0291886 | + | 0.0505562i | ||||
\(336\) | −4.12062 | + | 2.00511i | −0.224798 | + | 0.109388i | ||||
\(337\) | 0.748440 | + | 1.29634i | 0.0407701 | + | 0.0706159i | 0.885690 | − | 0.464276i | \(-0.153686\pi\) |
−0.844920 | + | 0.534892i | \(0.820352\pi\) | |||||||
\(338\) | 5.43346 | − | 9.41103i | 0.295541 | − | 0.511893i | ||||
\(339\) | 5.65798 | − | 8.84334i | 0.307299 | − | 0.480304i | ||||
\(340\) | 0.859728 | + | 1.48909i | 0.0466253 | + | 0.0807574i | ||||
\(341\) | −0.938524 | − | 1.62557i | −0.0508239 | − | 0.0880296i | ||||
\(342\) | 12.1118 | + | 1.10702i | 0.654929 | + | 0.0598607i | ||||
\(343\) | −1.39610 | + | 18.4676i | −0.0753825 | + | 0.997155i | ||||
\(344\) | 4.66372 | − | 8.07779i | 0.251451 | − | 0.435525i | ||||
\(345\) | 0.487068 | − | 0.761280i | 0.0262229 | − | 0.0409859i | ||||
\(346\) | 2.93872 | 0.157986 | ||||||||
\(347\) | −18.2881 | −0.981758 | −0.490879 | − | 0.871228i | \(-0.663324\pi\) | ||||
−0.490879 | + | 0.871228i | \(0.663324\pi\) | |||||||
\(348\) | 15.5292 | + | 0.708209i | 0.832451 | + | 0.0379640i | ||||
\(349\) | −3.90136 | + | 6.75735i | −0.208835 | + | 0.361713i | −0.951348 | − | 0.308119i | \(-0.900300\pi\) |
0.742513 | + | 0.669832i | \(0.233634\pi\) | |||||||
\(350\) | 11.1264 | − | 6.05594i | 0.594729 | − | 0.323704i | ||||
\(351\) | 2.86333 | + | 7.02811i | 0.152833 | + | 0.375133i | ||||
\(352\) | 1.82383 | + | 3.15897i | 0.0972106 | + | 0.168374i | ||||
\(353\) | −13.4626 | − | 23.3180i | −0.716544 | − | 1.24109i | −0.962361 | − | 0.271774i | \(-0.912390\pi\) |
0.245817 | − | 0.969316i | \(-0.420944\pi\) | |||||||
\(354\) | 10.2755 | + | 19.8329i | 0.546136 | + | 1.05411i | ||||
\(355\) | 0.386770 | − | 0.669906i | 0.0205276 | − | 0.0355549i | ||||
\(356\) | −1.36333 | − | 2.36135i | −0.0722562 | − | 0.125151i | ||||
\(357\) | 1.20914 | − | 17.0679i | 0.0639945 | − | 0.903328i | ||||
\(358\) | −4.58113 | + | 7.93474i | −0.242120 | + | 0.419364i | ||||
\(359\) | −3.13161 | − | 5.42411i | −0.165280 | − | 0.286274i | 0.771475 | − | 0.636260i | \(-0.219519\pi\) |
−0.936755 | + | 0.349987i | \(0.886186\pi\) | |||||||
\(360\) | 0.578990 | + | 1.25433i | 0.0305155 | + | 0.0661092i | ||||
\(361\) | 1.28220 | − | 2.22084i | 0.0674842 | − | 0.116886i | ||||
\(362\) | 22.4284 | 1.17881 | ||||||||
\(363\) | 3.98901 | + | 0.181919i | 0.209369 | + | 0.00954827i | ||||
\(364\) | 3.39397 | − | 1.84730i | 0.177892 | − | 0.0968247i | ||||
\(365\) | 3.04883 | + | 5.28073i | 0.159583 | + | 0.276406i | ||||
\(366\) | −9.62782 | − | 18.5828i | −0.503254 | − | 0.971339i | ||||
\(367\) | −14.6367 | − | 25.3515i | −0.764028 | − | 1.32334i | −0.940759 | − | 0.339076i | \(-0.889886\pi\) |
0.176731 | − | 0.984259i | \(-0.443448\pi\) | |||||||
\(368\) | −0.566537 | + | 0.981271i | −0.0295328 | + | 0.0511523i | ||||
\(369\) | 2.82597 | + | 0.258294i | 0.147114 | + | 0.0134462i | ||||
\(370\) | −4.19436 | −0.218054 | ||||||||
\(371\) | −28.0708 | − | 17.1621i | −1.45736 | − | 0.891013i | ||||
\(372\) | 0.410019 | + | 0.791385i | 0.0212585 | + | 0.0410314i | ||||
\(373\) | −8.92986 | + | 15.4670i | −0.462371 | + | 0.800850i | −0.999079 | − | 0.0429184i | \(-0.986334\pi\) |
0.536708 | + | 0.843768i | \(0.319668\pi\) | |||||||
\(374\) | −13.6198 | −0.704265 | ||||||||
\(375\) | −3.59144 | − | 6.93190i | −0.185461 | − | 0.357962i | ||||
\(376\) | 2.32743 | 0.120028 | ||||||||
\(377\) | −13.1082 | −0.675105 | ||||||||
\(378\) | 2.21566 | − | 13.5680i | 0.113961 | − | 0.697863i | ||||
\(379\) | −22.4255 | −1.15192 | −0.575960 | − | 0.817478i | \(-0.695371\pi\) | ||||
−0.575960 | + | 0.817478i | \(0.695371\pi\) | |||||||
\(380\) | −1.86693 | −0.0957713 | ||||||||
\(381\) | −7.01965 | − | 13.5487i | −0.359628 | − | 0.694123i | ||||
\(382\) | 2.48968 | 0.127383 | ||||||||
\(383\) | 7.07014 | − | 12.2458i | 0.361267 | − | 0.625733i | −0.626903 | − | 0.779098i | \(-0.715678\pi\) |
0.988170 | + | 0.153365i | \(0.0490109\pi\) | |||||||
\(384\) | −0.796790 | − | 1.53790i | −0.0406610 | − | 0.0784805i | ||||
\(385\) | 0.111767 | − | 4.44284i | 0.00569618 | − | 0.226428i | ||||
\(386\) | 4.48968 | 0.228519 | ||||||||
\(387\) | 11.7273 | + | 25.4063i | 0.596134 | + | 1.29147i | ||||
\(388\) | −5.59358 | + | 9.68836i | −0.283971 | + | 0.491852i | ||||
\(389\) | 11.5651 | + | 20.0313i | 0.586373 | + | 1.01563i | 0.994703 | + | 0.102793i | \(0.0327779\pi\) |
−0.408330 | + | 0.912834i | \(0.633889\pi\) | |||||||
\(390\) | −0.535897 | − | 1.03434i | −0.0271362 | − | 0.0523760i | ||||
\(391\) | −2.11537 | − | 3.66392i | −0.106979 | − | 0.185292i | ||||
\(392\) | −6.99115 | − | 0.351971i | −0.353106 | − | 0.0177772i | ||||
\(393\) | 36.5729 | + | 1.66791i | 1.84486 | + | 0.0841350i | ||||
\(394\) | 12.7339 | 0.641522 | ||||||||
\(395\) | −1.15292 | + | 1.99691i | −0.0580097 | + | 0.100476i | ||||
\(396\) | −10.8976 | − | 0.996040i | −0.547623 | − | 0.0500529i | ||||
\(397\) | −5.13307 | − | 8.89075i | −0.257622 | − | 0.446214i | 0.707983 | − | 0.706230i | \(-0.249605\pi\) |
−0.965604 | + | 0.260016i | \(0.916272\pi\) | |||||||
\(398\) | −1.47296 | + | 2.55124i | −0.0738327 | + | 0.127882i | ||||
\(399\) | 15.3925 | + | 10.4028i | 0.770589 | + | 0.520792i | ||||
\(400\) | 2.39397 | + | 4.14647i | 0.119698 | + | 0.207324i | ||||
\(401\) | −17.0167 | + | 29.4738i | −0.849775 | + | 1.47185i | 0.0316345 | + | 0.999500i | \(0.489929\pi\) |
−0.881409 | + | 0.472353i | \(0.843405\pi\) | |||||||
\(402\) | 1.84874 | + | 3.56828i | 0.0922067 | + | 0.177970i | ||||
\(403\) | −0.375780 | − | 0.650870i | −0.0187189 | − | 0.0324221i | ||||
\(404\) | −6.87792 | − | 11.9129i | −0.342189 | − | 0.592689i | ||||
\(405\) | −4.07587 | − | 0.751347i | −0.202532 | − | 0.0373348i | ||||
\(406\) | 20.2594 | + | 12.3863i | 1.00546 | + | 0.614724i | ||||
\(407\) | 16.6118 | − | 28.7724i | 0.823415 | − | 1.42620i | ||||
\(408\) | 6.46050 | + | 0.294632i | 0.319843 | + | 0.0145864i | ||||
\(409\) | −3.48968 | −0.172554 | −0.0862769 | − | 0.996271i | \(-0.527497\pi\) | ||||
−0.0862769 | + | 0.996271i | \(0.527497\pi\) | |||||||
\(410\) | −0.435599 | −0.0215127 | ||||||||
\(411\) | 4.11323 | − | 6.42892i | 0.202891 | − | 0.317115i | ||||
\(412\) | −5.58113 | + | 9.66679i | −0.274962 | + | 0.476249i | ||||
\(413\) | −0.858071 | + | 34.1091i | −0.0422229 | + | 1.67840i | ||||
\(414\) | −1.42461 | − | 3.08629i | −0.0700157 | − | 0.151683i | ||||
\(415\) | −1.53064 | − | 2.65115i | −0.0751362 | − | 0.130140i | ||||
\(416\) | 0.730252 | + | 1.26483i | 0.0358036 | + | 0.0620136i | ||||
\(417\) | −1.89017 | + | 2.95431i | −0.0925622 | + | 0.144673i | ||||
\(418\) | 7.39397 | − | 12.8067i | 0.361651 | − | 0.626398i | ||||
\(419\) | 14.4897 | + | 25.0969i | 0.707867 | + | 1.22606i | 0.965647 | + | 0.259858i | \(0.0836759\pi\) |
−0.257779 | + | 0.966204i | \(0.582991\pi\) | |||||||
\(420\) | −0.149126 | + | 2.10502i | −0.00727661 | + | 0.102715i | ||||
\(421\) | −1.06128 | + | 1.83819i | −0.0517237 | + | 0.0895881i | −0.890728 | − | 0.454537i | \(-0.849805\pi\) |
0.839004 | + | 0.544125i | \(0.183138\pi\) | |||||||
\(422\) | −0.608168 | − | 1.05338i | −0.0296052 | − | 0.0512777i | ||||
\(423\) | −4.02704 | + | 5.70397i | −0.195801 | + | 0.277337i | ||||
\(424\) | 6.21780 | − | 10.7695i | 0.301963 | − | 0.523015i | ||||
\(425\) | −17.8774 | −0.867183 | ||||||||
\(426\) | −1.33842 | − | 2.58331i | −0.0648467 | − | 0.125162i | ||||
\(427\) | 0.803987 | − | 31.9592i | 0.0389077 | − | 1.54661i | ||||
\(428\) | −3.89037 | − | 6.73832i | −0.188048 | − | 0.325709i | ||||
\(429\) | 9.21780 | + | 0.420378i | 0.445040 | + | 0.0202960i | ||||
\(430\) | −2.14766 | − | 3.71986i | −0.103570 | − | 0.179388i | ||||
\(431\) | 10.9356 | − | 18.9410i | 0.526749 | − | 0.912356i | −0.472765 | − | 0.881189i | \(-0.656744\pi\) |
0.999514 | − | 0.0311679i | \(-0.00992265\pi\) | |||||||
\(432\) | 5.14766 | + | 0.708209i | 0.247667 | + | 0.0340737i | ||||
\(433\) | −13.0512 | −0.627199 | −0.313599 | − | 0.949555i | \(-0.601535\pi\) | ||||
−0.313599 | + | 0.949555i | \(0.601535\pi\) | |||||||
\(434\) | −0.0342393 | + | 1.36104i | −0.00164354 | + | 0.0653322i | ||||
\(435\) | 3.85807 | − | 6.03011i | 0.184980 | − | 0.289122i | ||||
\(436\) | −3.75729 | + | 6.50783i | −0.179942 | + | 0.311668i | ||||
\(437\) | 4.59358 | 0.219741 | ||||||||
\(438\) | 22.9107 | + | 1.04484i | 1.09472 | + | 0.0499245i | ||||
\(439\) | 4.86400 | 0.232146 | 0.116073 | − | 0.993241i | \(-0.462969\pi\) | ||||
0.116073 | + | 0.993241i | \(0.462969\pi\) | |||||||
\(440\) | 1.67977 | 0.0800797 | ||||||||
\(441\) | 12.9590 | − | 16.5246i | 0.617097 | − | 0.786887i | ||||
\(442\) | −5.45331 | −0.259387 | ||||||||
\(443\) | −11.5395 | −0.548258 | −0.274129 | − | 0.961693i | \(-0.588390\pi\) | ||||
−0.274129 | + | 0.961693i | \(0.588390\pi\) | |||||||
\(444\) | −8.50214 | + | 13.2887i | −0.403494 | + | 0.630654i | ||||
\(445\) | −1.25564 | −0.0595229 | ||||||||
\(446\) | −0.445916 | + | 0.772349i | −0.0211147 | + | 0.0365718i | ||||
\(447\) | −15.8530 | − | 0.722977i | −0.749822 | − | 0.0341957i | ||||
\(448\) | 0.0665372 | − | 2.64491i | 0.00314359 | − | 0.124960i | ||||
\(449\) | −26.4251 | −1.24708 | −0.623538 | − | 0.781793i | \(-0.714306\pi\) | ||||
−0.623538 | + | 0.781793i | \(0.714306\pi\) | |||||||
\(450\) | −14.3042 | − | 1.30740i | −0.674306 | − | 0.0616317i | ||||
\(451\) | 1.72519 | − | 2.98812i | 0.0812361 | − | 0.140705i | ||||
\(452\) | 3.03064 | + | 5.24922i | 0.142549 | + | 0.246903i | ||||
\(453\) | 0.0969833 | − | 0.151584i | 0.00455667 | − | 0.00712201i | ||||
\(454\) | 7.32597 | + | 12.6889i | 0.343825 | + | 0.595522i | ||||
\(455\) | 0.0447509 | − | 1.77889i | 0.00209796 | − | 0.0833956i | ||||
\(456\) | −3.78434 | + | 5.91486i | −0.177218 | + | 0.276989i | ||||
\(457\) | −3.73812 | −0.174862 | −0.0874310 | − | 0.996171i | \(-0.527866\pi\) | ||||
−0.0874310 | + | 0.996171i | \(0.527866\pi\) | |||||||
\(458\) | 4.78794 | − | 8.29295i | 0.223726 | − | 0.387504i | ||||
\(459\) | −11.9004 | + | 15.3234i | −0.555462 | + | 0.715233i | ||||
\(460\) | 0.260893 | + | 0.451880i | 0.0121642 | + | 0.0210690i | ||||
\(461\) | −7.90496 | + | 13.6918i | −0.368171 | + | 0.637690i | −0.989280 | − | 0.146034i | \(-0.953349\pi\) |
0.621109 | + | 0.783724i | \(0.286682\pi\) | |||||||
\(462\) | −13.8494 | − | 9.35993i | −0.644333 | − | 0.435463i | ||||
\(463\) | 19.1965 | + | 33.2493i | 0.892137 | + | 1.54523i | 0.837309 | + | 0.546730i | \(0.184128\pi\) |
0.0548278 | + | 0.998496i | \(0.482539\pi\) | |||||||
\(464\) | −4.48755 | + | 7.77266i | −0.208329 | + | 0.360837i | ||||
\(465\) | 0.410019 | + | 0.0186989i | 0.0190142 | + | 0.000867143i | ||||
\(466\) | 7.21420 | + | 12.4954i | 0.334191 | + | 0.578836i | ||||
\(467\) | 3.15652 | + | 5.46725i | 0.146066 | + | 0.252994i | 0.929770 | − | 0.368140i | \(-0.120005\pi\) |
−0.783704 | + | 0.621134i | \(0.786672\pi\) | |||||||
\(468\) | −4.36333 | − | 0.398809i | −0.201695 | − | 0.0184349i | ||||
\(469\) | −0.154382 | + | 6.13682i | −0.00712869 | + | 0.283372i | ||||
\(470\) | 0.535897 | − | 0.928200i | 0.0247191 | − | 0.0428147i | ||||
\(471\) | −16.7185 | − | 32.2686i | −0.770347 | − | 1.48686i | ||||
\(472\) | −12.8961 | −0.593591 | ||||||||
\(473\) | 34.0233 | 1.56439 | ||||||||
\(474\) | 3.98968 | + | 7.70055i | 0.183252 | + | 0.353698i | ||||
\(475\) | 9.70535 | − | 16.8102i | 0.445312 | − | 0.771303i | ||||
\(476\) | 8.42840 | + | 5.15301i | 0.386315 | + | 0.236188i | ||||
\(477\) | 15.6352 | + | 33.8724i | 0.715887 | + | 1.55091i | ||||
\(478\) | −9.15486 | − | 15.8567i | −0.418734 | − | 0.725268i | ||||
\(479\) | 10.2068 | + | 17.6787i | 0.466361 | + | 0.807761i | 0.999262 | − | 0.0384168i | \(-0.0122314\pi\) |
−0.532901 | + | 0.846178i | \(0.678898\pi\) | |||||||
\(480\) | −0.796790 | − | 0.0363376i | −0.0363683 | − | 0.00165858i | ||||
\(481\) | 6.65126 | − | 11.5203i | 0.303271 | − | 0.525282i | ||||
\(482\) | −0.0466924 | − | 0.0808735i | −0.00212678 | − | 0.00368369i | ||||
\(483\) | 0.366926 | − | 5.17942i | 0.0166957 | − | 0.235672i | ||||
\(484\) | −1.15272 | + | 1.99658i | −0.0523966 | + | 0.0907535i | ||||
\(485\) | 2.57587 | + | 4.46154i | 0.116964 | + | 0.202588i | ||||
\(486\) | −10.6424 | + | 11.3903i | −0.482749 | + | 0.516675i | ||||
\(487\) | 6.18190 | − | 10.7074i | 0.280129 | − | 0.485197i | −0.691287 | − | 0.722580i | \(-0.742956\pi\) |
0.971416 | + | 0.237383i | \(0.0762895\pi\) | |||||||
\(488\) | 12.0833 | 0.546984 | ||||||||
\(489\) | −21.5036 | + | 33.6098i | −0.972426 | + | 1.51989i | ||||
\(490\) | −1.75010 | + | 2.70709i | −0.0790613 | + | 0.122294i | ||||
\(491\) | 0.207004 | + | 0.358541i | 0.00934194 | + | 0.0161807i | 0.870659 | − | 0.491888i | \(-0.163693\pi\) |
−0.861317 | + | 0.508069i | \(0.830360\pi\) | |||||||
\(492\) | −0.882977 | + | 1.38008i | −0.0398077 | + | 0.0622188i | ||||
\(493\) | −16.7558 | − | 29.0220i | −0.754645 | − | 1.30708i | ||||
\(494\) | 2.96050 | − | 5.12774i | 0.133199 | − | 0.230708i | ||||
\(495\) | −2.90642 | + | 4.11671i | −0.130634 | + | 0.185032i | ||||
\(496\) | −0.514589 | −0.0231057 | ||||||||
\(497\) | 0.111767 | − | 4.44284i | 0.00501344 | − | 0.199289i | ||||
\(498\) | −11.5021 | − | 0.524555i | −0.515423 | − | 0.0235059i | ||||
\(499\) | 0.461967 | − | 0.800151i | 0.0206805 | − | 0.0358197i | −0.855500 | − | 0.517803i | \(-0.826750\pi\) |
0.876180 | + | 0.481983i | \(0.160083\pi\) | |||||||
\(500\) | 4.50739 | 0.201577 | ||||||||
\(501\) | −9.92267 | + | 15.5090i | −0.443312 | + | 0.692890i | ||||
\(502\) | −18.2733 | −0.815579 | ||||||||
\(503\) | −23.8142 | −1.06182 | −0.530911 | − | 0.847428i | \(-0.678150\pi\) | ||||
−0.530911 | + | 0.847428i | \(0.678150\pi\) | |||||||
\(504\) | 6.36693 | + | 4.73944i | 0.283605 | + | 0.211111i | ||||
\(505\) | −6.33463 | −0.281887 | ||||||||
\(506\) | −4.13307 | −0.183738 | ||||||||
\(507\) | −18.8025 | − | 0.857490i | −0.835049 | − | 0.0380825i | ||||
\(508\) | 8.80992 | 0.390877 | ||||||||
\(509\) | 15.3171 | − | 26.5300i | 0.678919 | − | 1.17592i | −0.296388 | − | 0.955068i | \(-0.595782\pi\) |
0.975307 | − | 0.220855i | \(-0.0708846\pi\) | |||||||
\(510\) | 1.60505 | − | 2.50867i | 0.0710728 | − | 0.111086i | ||||
\(511\) | 29.8894 | + | 18.2740i | 1.32223 | + | 0.808393i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −7.94805 | − | 19.5087i | −0.350915 | − | 0.861330i | ||||
\(514\) | 10.5256 | − | 18.2308i | 0.464263 | − | 0.804128i | ||||
\(515\) | 2.57014 | + | 4.45161i | 0.113254 | + | 0.196161i | ||||
\(516\) | −16.1388 | − | 0.736011i | −0.710471 | − | 0.0324011i | ||||
\(517\) | 4.24484 | + | 7.35228i | 0.186688 | + | 0.323353i | ||||
\(518\) | −21.1659 | + | 11.5203i | −0.929974 | + | 0.506174i | ||||
\(519\) | −2.34154 | − | 4.51945i | −0.102782 | − | 0.198382i | ||||
\(520\) | 0.672570 | 0.0294941 | ||||||||
\(521\) | −13.4518 | + | 23.2993i | −0.589336 | + | 1.02076i | 0.404984 | + | 0.914324i | \(0.367277\pi\) |
−0.994320 | + | 0.106436i | \(0.966056\pi\) | |||||||
\(522\) | −11.2843 | − | 24.4466i | −0.493902 | − | 1.07000i | ||||
\(523\) | −7.85301 | − | 13.6018i | −0.343388 | − | 0.594766i | 0.641671 | − | 0.766980i | \(-0.278241\pi\) |
−0.985060 | + | 0.172214i | \(0.944908\pi\) | |||||||
\(524\) | −10.5687 | + | 18.3055i | −0.461695 | + | 0.799679i | ||||
\(525\) | −18.1788 | − | 12.2859i | −0.793387 | − | 0.536199i | ||||
\(526\) | 2.58259 | + | 4.47318i | 0.112606 | + | 0.195040i | ||||
\(527\) | 0.960699 | − | 1.66398i | 0.0418487 | − | 0.0724841i | ||||
\(528\) | 3.40496 | − | 5.32190i | 0.148182 | − | 0.231606i | ||||
\(529\) | 10.8581 | + | 18.8067i | 0.472090 | + | 0.817684i | ||||
\(530\) | −2.86333 | − | 4.95943i | −0.124375 | − | 0.215424i | ||||
\(531\) | 22.3135 | − | 31.6053i | 0.968324 | − | 1.37155i | ||||
\(532\) | −9.42101 | + | 5.12774i | −0.408453 | + | 0.222316i | ||||
\(533\) | 0.690757 | − | 1.19643i | 0.0299200 | − | 0.0518230i | ||||
\(534\) | −2.54523 | + | 3.97816i | −0.110143 | + | 0.172152i | ||||
\(535\) | −3.58307 | −0.154910 | ||||||||
\(536\) | −2.32023 | −0.100219 | ||||||||
\(537\) | 15.8530 | + | 0.722977i | 0.684108 | + | 0.0311988i | ||||
\(538\) | 8.42840 | − | 14.5984i | 0.363374 | − | 0.629383i | ||||
\(539\) | −11.6388 | − | 22.7267i | −0.501319 | − | 0.978910i | ||||
\(540\) | 1.46770 | − | 1.88987i | 0.0631598 | − | 0.0813269i | ||||
\(541\) | −2.05934 | − | 3.56688i | −0.0885379 | − | 0.153352i | 0.818355 | − | 0.574713i | \(-0.194886\pi\) |
−0.906893 | + | 0.421360i | \(0.861553\pi\) | |||||||
\(542\) | 12.5562 | + | 21.7480i | 0.539336 | + | 0.934157i | ||||
\(543\) | −17.8707 | − | 34.4926i | −0.766906 | − | 1.48022i | ||||
\(544\) | −1.86693 | + | 3.23361i | −0.0800438 | + | 0.138640i | ||||
\(545\) | 1.73025 | + | 2.99689i | 0.0741159 | + | 0.128372i | ||||
\(546\) | −5.54523 | − | 3.74766i | −0.237314 | − | 0.160385i | ||||
\(547\) | −11.8602 | + | 20.5425i | −0.507106 | + | 0.878333i | 0.492860 | + | 0.870108i | \(0.335951\pi\) |
−0.999966 | + | 0.00822465i | \(0.997382\pi\) | |||||||
\(548\) | 2.20321 | + | 3.81607i | 0.0941165 | + | 0.163015i | ||||
\(549\) | −20.9071 | + | 29.6132i | −0.892293 | + | 1.26386i | ||||
\(550\) | −8.73239 | + | 15.1249i | −0.372350 | + | 0.644930i | ||||
\(551\) | 36.3858 | 1.55009 | ||||||||
\(552\) | 1.96050 | + | 0.0894089i | 0.0834446 | + | 0.00380550i | ||||
\(553\) | −0.333165 | + | 13.2436i | −0.0141676 | + | 0.563176i | ||||
\(554\) | −1.69076 | − | 2.92848i | −0.0718334 | − | 0.124419i | ||||
\(555\) | 3.34202 | + | 6.45049i | 0.141861 | + | 0.273808i | ||||
\(556\) | −1.01245 | − | 1.75362i | −0.0429376 | − | 0.0743701i | ||||
\(557\) | −21.0313 | + | 36.4273i | −0.891125 | + | 1.54347i | −0.0525975 | + | 0.998616i | \(0.516750\pi\) |
−0.838528 | + | 0.544859i | \(0.816583\pi\) | |||||||
\(558\) | 0.890369 | − | 1.26113i | 0.0376923 | − | 0.0533881i | ||||
\(559\) | 13.6228 | 0.576181 | ||||||||
\(560\) | −1.03950 | − | 0.635534i | −0.0439267 | − | 0.0268562i | ||||
\(561\) | 10.8521 | + | 20.9459i | 0.458178 | + | 0.884336i | ||||
\(562\) | −10.1388 | + | 17.5609i | −0.427680 | + | 0.740763i | ||||
\(563\) | 11.8243 | 0.498335 | 0.249168 | − | 0.968460i | \(-0.419843\pi\) | ||||
0.249168 | + | 0.968460i | \(0.419843\pi\) | |||||||
\(564\) | −1.85447 | − | 3.57935i | −0.0780874 | − | 0.150718i | ||||
\(565\) | 2.79125 | 0.117429 | ||||||||
\(566\) | 17.3494 | 0.729250 | ||||||||
\(567\) | −22.6316 | + | 7.40339i | −0.950438 | + | 0.310913i | ||||
\(568\) | 1.67977 | 0.0704815 | ||||||||
\(569\) | 14.2016 | 0.595360 | 0.297680 | − | 0.954666i | \(-0.403787\pi\) | ||||
0.297680 | + | 0.954666i | \(0.403787\pi\) | |||||||
\(570\) | 1.48755 | + | 2.87114i | 0.0623065 | + | 0.120259i | ||||
\(571\) | 11.9574 | 0.500401 | 0.250200 | − | 0.968194i | \(-0.419503\pi\) | ||||
0.250200 | + | 0.968194i | \(0.419503\pi\) | |||||||
\(572\) | −2.66372 | + | 4.61369i | −0.111376 | + | 0.192908i | ||||
\(573\) | −1.98375 | − | 3.82888i | −0.0828725 | − | 0.159954i | ||||
\(574\) | −2.19815 | + | 1.19643i | −0.0917490 | + | 0.0499379i | ||||
\(575\) | −5.42509 | −0.226242 | ||||||||
\(576\) | −1.73025 | + | 2.45076i | −0.0720939 | + | 0.102115i | ||||
\(577\) | 21.3135 | − | 36.9161i | 0.887293 | − | 1.53684i | 0.0442307 | − | 0.999021i | \(-0.485916\pi\) |
0.843062 | − | 0.537816i | \(-0.180750\pi\) | |||||||
\(578\) | 1.52918 | + | 2.64861i | 0.0636054 | + | 0.110168i | ||||
\(579\) | −3.57733 | − | 6.90467i | −0.148669 | − | 0.286948i | ||||
\(580\) | 2.06654 | + | 3.57935i | 0.0858083 | + | 0.148624i | ||||
\(581\) | −15.0057 | − | 9.17431i | −0.622543 | − | 0.380614i | ||||
\(582\) | 19.3566 | + | 0.882759i | 0.802357 | + | 0.0365915i | ||||
\(583\) | 45.3609 | 1.87866 | ||||||||
\(584\) | −6.62062 | + | 11.4673i | −0.273963 | + | 0.474518i | ||||
\(585\) | −1.16372 | + | 1.64831i | −0.0481137 | + | 0.0681491i | ||||
\(586\) | −4.93560 | − | 8.54871i | −0.203888 | − | 0.353144i | ||||
\(587\) | 20.5328 | − | 35.5638i | 0.847478 | − | 1.46788i | −0.0359730 | − | 0.999353i | \(-0.511453\pi\) |
0.883451 | − | 0.468523i | \(-0.155214\pi\) | |||||||
\(588\) | 5.02918 | + | 11.0321i | 0.207400 | + | 0.454956i | ||||
\(589\) | 1.04309 | + | 1.80669i | 0.0429799 | + | 0.0744434i | ||||
\(590\) | −2.96936 | + | 5.14308i | −0.122247 | + | 0.211737i | ||||
\(591\) | −10.1462 | − | 19.5833i | −0.417359 | − | 0.805551i | ||||
\(592\) | −4.55408 | − | 7.88791i | −0.187172 | − | 0.324191i | ||||
\(593\) | 16.1008 | + | 27.8874i | 0.661180 | + | 1.14520i | 0.980306 | + | 0.197485i | \(0.0632772\pi\) |
−0.319126 | + | 0.947712i | \(0.603389\pi\) | |||||||
\(594\) | 7.15126 | + | 17.5530i | 0.293420 | + | 0.720207i | ||||
\(595\) | 3.99573 | − | 2.17483i | 0.163809 | − | 0.0891592i | ||||
\(596\) | 4.58113 | − | 7.93474i | 0.187650 | − | 0.325020i | ||||
\(597\) | 5.09718 | + | 0.232457i | 0.208614 | + | 0.00951383i | ||||
\(598\) | −1.65486 | −0.0676723 | ||||||||
\(599\) | 19.0718 | 0.779252 | 0.389626 | − | 0.920973i | \(-0.372604\pi\) | ||||
0.389626 | + | 0.920973i | \(0.372604\pi\) | |||||||
\(600\) | 4.46936 | − | 6.98554i | 0.182461 | − | 0.285184i | ||||
\(601\) | 4.27188 | − | 7.39912i | 0.174254 | − | 0.301816i | −0.765649 | − | 0.643259i | \(-0.777582\pi\) |
0.939903 | + | 0.341442i | \(0.110915\pi\) | |||||||
\(602\) | −21.0548 | − | 12.8726i | −0.858128 | − | 0.524648i | ||||
\(603\) | 4.01459 | − | 5.68634i | 0.163487 | − | 0.231565i | ||||
\(604\) | 0.0519482 | + | 0.0899768i | 0.00211374 | + | 0.00366111i | ||||
\(605\) | 0.530835 | + | 0.919434i | 0.0215815 | + | 0.0373803i | ||||
\(606\) | −12.8406 | + | 20.0696i | −0.521612 | + | 0.815272i | ||||
\(607\) | −19.0057 | + | 32.9189i | −0.771419 | + | 1.33614i | 0.165366 | + | 0.986232i | \(0.447119\pi\) |
−0.936785 | + | 0.349905i | \(0.886214\pi\) | |||||||
\(608\) | −2.02704 | − | 3.51094i | −0.0822074 | − | 0.142387i | ||||
\(609\) | 2.90642 | − | 41.0262i | 0.117774 | − | 1.66247i | ||||
\(610\) | 2.78220 | − | 4.81891i | 0.112648 | − | 0.195112i | ||||
\(611\) | 1.69961 | + | 2.94381i | 0.0687589 | + | 0.119094i | ||||
\(612\) | −4.69455 | − | 10.1703i | −0.189766 | − | 0.411112i | ||||
\(613\) | 11.3296 | − | 19.6234i | 0.457597 | − | 0.792581i | −0.541237 | − | 0.840870i | \(-0.682044\pi\) |
0.998833 | + | 0.0482894i | \(0.0153770\pi\) | |||||||
\(614\) | 7.78794 | 0.314295 | ||||||||
\(615\) | 0.347081 | + | 0.669906i | 0.0139956 | + | 0.0270132i | ||||
\(616\) | 8.47656 | − | 4.61369i | 0.341530 | − | 0.185891i | ||||
\(617\) | −10.1388 | − | 17.5609i | −0.408173 | − | 0.706977i | 0.586512 | − | 0.809941i | \(-0.300501\pi\) |
−0.994685 | + | 0.102964i | \(0.967167\pi\) | |||||||
\(618\) | 19.3135 | + | 0.880794i | 0.776904 | + | 0.0354307i | ||||
\(619\) | −1.03064 | − | 1.78512i | −0.0414249 | − | 0.0717501i | 0.844570 | − | 0.535446i | \(-0.179856\pi\) |
−0.885994 | + | 0.463696i | \(0.846523\pi\) | |||||||
\(620\) | −0.118485 | + | 0.205223i | −0.00475849 | + | 0.00824194i | ||||
\(621\) | −3.61129 | + | 4.65003i | −0.144916 | + | 0.186599i | ||||
\(622\) | 15.4107 | 0.617912 | ||||||||
\(623\) | −6.33628 | + | 3.44877i | −0.253858 | + | 0.138172i | ||||
\(624\) | 1.36333 | − | 2.13086i | 0.0545768 | − | 0.0853027i | ||||
\(625\) | −10.9320 | + | 18.9348i | −0.437280 | + | 0.757391i | ||||
\(626\) | 8.49688 | 0.339604 | ||||||||
\(627\) | −25.5869 | − | 1.16689i | −1.02184 | − | 0.0466011i | ||||
\(628\) | 20.9823 | 0.837285 | ||||||||
\(629\) | 34.0085 | 1.35601 | ||||||||
\(630\) | 3.35613 | − | 1.44792i | 0.133711 | − | 0.0576865i | ||||
\(631\) | 1.63715 | 0.0651740 | 0.0325870 | − | 0.999469i | \(-0.489625\pi\) | ||||
0.0325870 | + | 0.999469i | \(0.489625\pi\) | |||||||
\(632\) | −5.00720 | −0.199176 | ||||||||
\(633\) | −1.13541 | + | 1.77462i | −0.0451283 | + | 0.0705349i | ||||
\(634\) | −14.1052 | −0.560191 | ||||||||
\(635\) | 2.02850 | − | 3.51347i | 0.0804988 | − | 0.139428i | ||||
\(636\) | −21.5167 | − | 0.981271i | −0.853194 | − | 0.0389099i | ||||
\(637\) | −4.66012 | − | 9.09967i | −0.184641 | − | 0.360542i | ||||
\(638\) | −32.7381 | −1.29611 | ||||||||
\(639\) | −2.90642 | + | 4.11671i | −0.114976 | + | 0.162854i | ||||
\(640\) | 0.230252 | − | 0.398809i | 0.00910153 | − | 0.0157643i | ||||
\(641\) | −10.9662 | − | 18.9941i | −0.433140 | − | 0.750221i | 0.564001 | − | 0.825774i | \(-0.309261\pi\) |
−0.997142 | + | 0.0755526i | \(0.975928\pi\) | |||||||
\(642\) | −7.26303 | + | 11.3520i | −0.286649 | + | 0.448028i | ||||
\(643\) | −14.1819 | − | 24.5638i | −0.559280 | − | 0.968701i | −0.997557 | − | 0.0698609i | \(-0.977744\pi\) |
0.438277 | − | 0.898840i | \(-0.355589\pi\) | |||||||
\(644\) | 2.55768 | + | 1.56373i | 0.100787 | + | 0.0616197i | ||||
\(645\) | −4.00953 | + | 6.26683i | −0.157875 | + | 0.246756i | ||||
\(646\) | 15.1373 | 0.595571 | ||||||||
\(647\) | 17.3904 | − | 30.1210i | 0.683686 | − | 1.18418i | −0.290162 | − | 0.956978i | \(-0.593709\pi\) |
0.973848 | − | 0.227201i | \(-0.0729575\pi\) | |||||||
\(648\) | −3.01245 | − | 8.48087i | −0.118340 | − | 0.333160i | ||||
\(649\) | −23.5203 | − | 40.7384i | −0.923253 | − | 1.59912i | ||||
\(650\) | −3.49640 | + | 6.05594i | −0.137140 | + | 0.237534i | ||||
\(651\) | 2.12043 | − | 1.03181i | 0.0831061 | − | 0.0404398i | ||||
\(652\) | −11.5182 | − | 19.9501i | −0.451087 | − | 0.781306i | ||||
\(653\) | 1.59931 | − | 2.77009i | 0.0625860 | − | 0.108402i | −0.833035 | − | 0.553221i | \(-0.813399\pi\) |
0.895621 | + | 0.444819i | \(0.146732\pi\) | |||||||
\(654\) | 13.0021 | + | 0.592963i | 0.508424 | + | 0.0231867i | ||||
\(655\) | 4.86693 | + | 8.42976i | 0.190167 | + | 0.329378i | ||||
\(656\) | −0.472958 | − | 0.819187i | −0.0184659 | − | 0.0319839i | ||||
\(657\) | −16.6481 | − | 36.0668i | −0.649506 | − | 1.40710i | ||||
\(658\) | 0.154861 | − | 6.15585i | 0.00603710 | − | 0.239980i | ||||
\(659\) | 5.30418 | − | 9.18711i | 0.206622 | − | 0.357879i | −0.744027 | − | 0.668150i | \(-0.767086\pi\) |
0.950648 | + | 0.310271i | \(0.100420\pi\) | |||||||
\(660\) | −1.33842 | − | 2.58331i | −0.0520980 | − | 0.100555i | ||||
\(661\) | 10.1301 | 0.394017 | 0.197009 | − | 0.980402i | \(-0.436877\pi\) | ||||
0.197009 | + | 0.980402i | \(0.436877\pi\) | |||||||
\(662\) | 27.5438 | 1.07052 | ||||||||
\(663\) | 4.34514 | + | 8.38662i | 0.168751 | + | 0.325709i | ||||
\(664\) | 3.32383 | − | 5.75705i | 0.128990 | − | 0.223417i | ||||
\(665\) | −0.124220 | + | 4.93786i | −0.00481705 | + | 0.191482i | ||||
\(666\) | 27.2111 | + | 2.48710i | 1.05441 | + | 0.0963731i | ||||
\(667\) | −5.08472 | − | 8.80700i | −0.196881 | − | 0.341008i | ||||
\(668\) | −5.31498 | − | 9.20581i | −0.205643 | − | 0.356184i | ||||
\(669\) | 1.54309 | + | 0.0703729i | 0.0596595 | + | 0.00272077i | ||||
\(670\) | −0.534239 | + | 0.925330i | −0.0206395 | + | 0.0357486i | ||||
\(671\) | 22.0378 | + | 38.1707i | 0.850761 | + | 1.47356i | ||||
\(672\) | −4.12062 | + | 2.00511i | −0.158956 | + | 0.0773489i | ||||
\(673\) | 1.60817 | − | 2.78543i | 0.0619903 | − | 0.107370i | −0.833365 | − | 0.552724i | \(-0.813589\pi\) |
0.895355 | + | 0.445353i | \(0.146922\pi\) | |||||||
\(674\) | 0.748440 | + | 1.29634i | 0.0288288 | + | 0.0499330i | ||||
\(675\) | 9.38677 | + | 23.0401i | 0.361297 | + | 0.886813i | ||||
\(676\) | 5.43346 | − | 9.41103i | 0.208979 | − | 0.361963i | ||||
\(677\) | −29.3638 | −1.12854 | −0.564271 | − | 0.825589i | \(-0.690843\pi\) | ||||
−0.564271 | + | 0.825589i | \(0.690843\pi\) | |||||||
\(678\) | 5.65798 | − | 8.84334i | 0.217293 | − | 0.339626i | ||||
\(679\) | 25.2527 | + | 15.4392i | 0.969110 | + | 0.592501i | ||||
\(680\) | 0.859728 | + | 1.48909i | 0.0329691 | + | 0.0571041i | ||||
\(681\) | 13.6770 | − | 21.3770i | 0.524105 | − | 0.819169i | ||||
\(682\) | −0.938524 | − | 1.62557i | −0.0359379 | − | 0.0622463i | ||||
\(683\) | 12.6278 | − | 21.8720i | 0.483190 | − | 0.836910i | −0.516624 | − | 0.856213i | \(-0.672811\pi\) |
0.999814 | + | 0.0193029i | \(0.00614468\pi\) | |||||||
\(684\) | 12.1118 | + | 1.10702i | 0.463105 | + | 0.0423279i | ||||
\(685\) | 2.02918 | 0.0775309 | ||||||||
\(686\) | −1.39610 | + | 18.4676i | −0.0533035 | + | 0.705095i | ||||
\(687\) | −16.5687 | − | 0.755615i | −0.632134 | − | 0.0288285i | ||||
\(688\) | 4.66372 | − | 8.07779i | 0.177802 | − | 0.307963i | ||||
\(689\) | 18.1623 | 0.691927 | ||||||||
\(690\) | 0.487068 | − | 0.761280i | 0.0185424 | − | 0.0289814i | ||||
\(691\) | −15.3638 | −0.584467 | −0.292233 | − | 0.956347i | \(-0.594398\pi\) | ||||
−0.292233 | + | 0.956347i | \(0.594398\pi\) | |||||||
\(692\) | 2.93872 | 0.111713 | ||||||||
\(693\) | −3.35953 | + | 28.7569i | −0.127618 | + | 1.09238i | ||||
\(694\) | −18.2881 | −0.694208 | ||||||||
\(695\) | −0.932479 | −0.0353709 | ||||||||
\(696\) | 15.5292 | + | 0.708209i | 0.588632 | + | 0.0268446i | ||||
\(697\) | 3.53191 | 0.133781 | ||||||||
\(698\) | −3.90136 | + | 6.75735i | −0.147669 | + | 0.255770i | ||||
\(699\) | 13.4684 | − | 21.0509i | 0.509421 | − | 0.796217i | ||||
\(700\) | 11.1264 | − | 6.05594i | 0.420537 | − | 0.228893i | ||||
\(701\) | −13.3700 | −0.504980 | −0.252490 | − | 0.967600i | \(-0.581249\pi\) | ||||
−0.252490 | + | 0.967600i | \(0.581249\pi\) | |||||||
\(702\) | 2.86333 | + | 7.02811i | 0.108069 | + | 0.265259i | ||||
\(703\) | −18.4626 | + | 31.9782i | −0.696332 | + | 1.20608i | ||||
\(704\) | 1.82383 | + | 3.15897i | 0.0687382 | + | 0.119058i | ||||
\(705\) | −1.85447 | − | 0.0845733i | −0.0698435 | − | 0.00318522i | ||||
\(706\) | −13.4626 | − | 23.3180i | −0.506673 | − | 0.877584i | ||||
\(707\) | −31.9662 | + | 17.3988i | −1.20221 | + | 0.654351i | ||||
\(708\) | 10.2755 | + | 19.8329i | 0.386176 | + | 0.745365i | ||||
\(709\) | −1.12588 | −0.0422832 | −0.0211416 | − | 0.999776i | \(-0.506730\pi\) | ||||
−0.0211416 | + | 0.999776i | \(0.506730\pi\) | |||||||
\(710\) | 0.386770 | − | 0.669906i | 0.0145152 | − | 0.0251411i | ||||
\(711\) | 8.66372 | − | 12.2714i | 0.324915 | − | 0.460215i | ||||
\(712\) | −1.36333 | − | 2.36135i | −0.0510928 | − | 0.0884954i | ||||
\(713\) | 0.291534 | − | 0.504951i | 0.0109180 | − | 0.0189106i | ||||
\(714\) | 1.20914 | − | 17.0679i | 0.0452509 | − | 0.638749i | ||||
\(715\) | 1.22665 | + | 2.12463i | 0.0458743 | + | 0.0794565i | ||||
\(716\) | −4.58113 | + | 7.93474i | −0.171205 | + | 0.296535i | ||||
\(717\) | −17.0914 | + | 26.7137i | −0.638292 | + | 0.997640i | ||||
\(718\) | −3.13161 | − | 5.42411i | −0.116871 | − | 0.202426i | ||||
\(719\) | 9.13667 | + | 15.8252i | 0.340740 | + | 0.590180i | 0.984570 | − | 0.174989i | \(-0.0559889\pi\) |
−0.643830 | + | 0.765169i | \(0.722656\pi\) | |||||||
\(720\) | 0.578990 | + | 1.25433i | 0.0215777 | + | 0.0467463i | ||||
\(721\) | 25.1965 | + | 15.4048i | 0.938366 | + | 0.573705i | ||||
\(722\) | 1.28220 | − | 2.22084i | 0.0477186 | − | 0.0826510i | ||||
\(723\) | −0.0871712 | + | 0.136247i | −0.00324193 | + | 0.00506709i | ||||
\(724\) | 22.4284 | 0.833545 | ||||||||
\(725\) | −42.9722 | −1.59595 | ||||||||
\(726\) | 3.98901 | + | 0.181919i | 0.148046 | + | 0.00675165i | ||||
\(727\) | −14.8478 | + | 25.7171i | −0.550673 | + | 0.953793i | 0.447553 | + | 0.894257i | \(0.352295\pi\) |
−0.998226 | + | 0.0595359i | \(0.981038\pi\) | |||||||
\(728\) | 3.39397 | − | 1.84730i | 0.125789 | − | 0.0684654i | ||||
\(729\) | 25.9969 | + | 7.29124i | 0.962847 | + | 0.270046i | ||||
\(730\) | 3.04883 | + | 5.28073i | 0.112842 | + | 0.195448i | ||||
\(731\) | 17.4136 | + | 30.1613i | 0.644066 | + | 1.11555i | ||||
\(732\) | −9.62782 | − | 18.5828i | −0.355854 | − | 0.686840i | ||||
\(733\) | −9.61390 | + | 16.6518i | −0.355098 | + | 0.615047i | −0.987135 | − | 0.159891i | \(-0.948886\pi\) |
0.632037 | + | 0.774938i | \(0.282219\pi\) | |||||||
\(734\) | −14.6367 | − | 25.3515i | −0.540249 | − | 0.935740i | ||||
\(735\) | 5.55768 | + | 0.534488i | 0.204998 | + | 0.0197149i | ||||
\(736\) | −0.566537 | + | 0.981271i | −0.0208828 | + | 0.0361701i | ||||
\(737\) | −4.23171 | − | 7.32955i | −0.155877 | − | 0.269987i | ||||
\(738\) | 2.82597 | + | 0.258294i | 0.104025 | + | 0.00950793i | ||||
\(739\) | −15.1336 | + | 26.2121i | −0.556697 | + | 0.964227i | 0.441073 | + | 0.897471i | \(0.354598\pi\) |
−0.997769 | + | 0.0667556i | \(0.978735\pi\) | |||||||
\(740\) | −4.19436 | −0.154188 | ||||||||
\(741\) | −10.2448 | − | 0.467216i | −0.376354 | − | 0.0171636i | ||||
\(742\) | −28.0708 | − | 17.1621i | −1.03051 | − | 0.630041i | ||||
\(743\) | −11.8815 | − | 20.5794i | −0.435890 | − | 0.754984i | 0.561477 | − | 0.827492i | \(-0.310233\pi\) |
−0.997368 | + | 0.0725076i | \(0.976900\pi\) | |||||||
\(744\) | 0.410019 | + | 0.791385i | 0.0150320 | + | 0.0290136i | ||||
\(745\) | −2.10963 | − | 3.65399i | −0.0772909 | − | 0.133872i | ||||
\(746\) | −8.92986 | + | 15.4670i | −0.326946 | + | 0.566286i | ||||
\(747\) | 8.35807 | + | 18.1071i | 0.305806 | + | 0.662503i | ||||
\(748\) | −13.6198 | −0.497990 | ||||||||
\(749\) | −18.0811 | + | 9.84134i | −0.660670 | + | 0.359595i | ||||
\(750\) | −3.59144 | − | 6.93190i | −0.131141 | − | 0.253117i | ||||
\(751\) | −6.33415 | + | 10.9711i | −0.231136 | + | 0.400340i | −0.958143 | − | 0.286291i | \(-0.907578\pi\) |
0.727006 | + | 0.686631i | \(0.240911\pi\) | |||||||
\(752\) | 2.32743 | 0.0848727 | ||||||||
\(753\) | 14.5600 | + | 28.1025i | 0.530596 | + | 1.02411i | ||||
\(754\) | −13.1082 | −0.477371 | ||||||||
\(755\) | 0.0478448 | 0.00174125 | ||||||||
\(756\) | 2.21566 | − | 13.5680i | 0.0805829 | − | 0.493464i | ||||
\(757\) | −29.0799 | −1.05693 | −0.528464 | − | 0.848955i | \(-0.677232\pi\) | ||||
−0.528464 | + | 0.848955i | \(0.677232\pi\) | |||||||
\(758\) | −22.4255 | −0.814530 | ||||||||
\(759\) | 3.29319 | + | 6.35624i | 0.119535 | + | 0.230717i | ||||
\(760\) | −1.86693 | −0.0677205 | ||||||||
\(761\) | −14.6015 | + | 25.2905i | −0.529302 | + | 0.916778i | 0.470114 | + | 0.882606i | \(0.344213\pi\) |
−0.999416 | + | 0.0341724i | \(0.989120\pi\) | |||||||
\(762\) | −7.01965 | − | 13.5487i | −0.254295 | − | 0.490819i | ||||
\(763\) | 16.9626 | + | 10.3707i | 0.614089 | + | 0.375446i | ||||
\(764\) | 2.48968 | 0.0900736 | ||||||||
\(765\) | −5.13696 | − | 0.469519i | −0.185727 | − | 0.0169755i | ||||
\(766\) | 7.07014 | − | 12.2458i | 0.255454 | − | 0.442460i | ||||
\(767\) | −9.41741 | − | 16.3114i | −0.340043 | − | 0.588972i | ||||
\(768\) | −0.796790 | − | 1.53790i | −0.0287517 | − | 0.0554941i |