Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(148,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.148");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.f (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: | \(3.52140272914\) |
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: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 148.3 | ||
Root | \(0.500000 - 2.05195i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 441.148 |
Dual form | 441.2.f.d.295.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23025 | + | 2.13086i | 0.869920 | + | 1.50675i | 0.862078 | + | 0.506776i | \(0.169163\pi\) |
0.00784213 | + | 0.999969i | \(0.497504\pi\) | |||||||
\(3\) | 1.73025 | + | 0.0789082i | 0.998962 | + | 0.0455577i | ||||
\(4\) | −2.02704 | + | 3.51094i | −1.01352 | + | 1.75547i | ||||
\(5\) | −1.29679 | + | 2.24611i | −0.579942 | + | 1.00449i | 0.415543 | + | 0.909573i | \(0.363591\pi\) |
−0.995485 | + | 0.0949156i | \(0.969742\pi\) | |||||||
\(6\) | 1.96050 | + | 3.78400i | 0.800373 | + | 1.54481i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −5.05408 | −1.78689 | ||||||||
\(9\) | 2.98755 | + | 0.273062i | 0.995849 | + | 0.0910208i | ||||
\(10\) | −6.38151 | −2.01801 | ||||||||
\(11\) | −2.25729 | − | 3.90975i | −0.680600 | − | 1.17883i | −0.974798 | − | 0.223089i | \(-0.928386\pi\) |
0.294198 | − | 0.955744i | \(-0.404947\pi\) | |||||||
\(12\) | −3.78434 | + | 5.91486i | −1.09244 | + | 1.70747i | ||||
\(13\) | 0.500000 | − | 0.866025i | 0.138675 | − | 0.240192i | −0.788320 | − | 0.615265i | \(-0.789049\pi\) |
0.926995 | + | 0.375073i | \(0.122382\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.42101 | + | 3.78400i | −0.625102 | + | 0.977025i | ||||
\(16\) | −2.16372 | − | 3.74766i | −0.540929 | − | 0.936916i | ||||
\(17\) | 0.945916 | 0.229418 | 0.114709 | − | 0.993399i | \(-0.463406\pi\) | ||||
0.114709 | + | 0.993399i | \(0.463406\pi\) | |||||||
\(18\) | 3.09358 | + | 6.70198i | 0.729164 | + | 1.57967i | ||||
\(19\) | 4.05408 | 0.930071 | 0.465035 | − | 0.885292i | \(-0.346042\pi\) | ||||
0.465035 | + | 0.885292i | \(0.346042\pi\) | |||||||
\(20\) | −5.25729 | − | 9.10590i | −1.17557 | − | 2.03614i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.55408 | − | 9.61996i | 1.18413 | − | 2.05098i | ||||
\(23\) | 0.136673 | − | 0.236725i | 0.0284983 | − | 0.0493605i | −0.851425 | − | 0.524477i | \(-0.824261\pi\) |
0.879923 | + | 0.475117i | \(0.157594\pi\) | |||||||
\(24\) | −8.74484 | − | 0.398809i | −1.78503 | − | 0.0814065i | ||||
\(25\) | −0.863327 | − | 1.49533i | −0.172665 | − | 0.299065i | ||||
\(26\) | 2.46050 | 0.482545 | ||||||||
\(27\) | 5.14766 | + | 0.708209i | 0.990668 | + | 0.136295i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.23025 | − | 2.13086i | −0.228452 | − | 0.395691i | 0.728897 | − | 0.684623i | \(-0.240033\pi\) |
−0.957350 | + | 0.288932i | \(0.906700\pi\) | |||||||
\(30\) | −11.0416 | − | 0.503554i | −2.01592 | − | 0.0919360i | ||||
\(31\) | 1.16372 | − | 2.01561i | 0.209009 | − | 0.362015i | −0.742393 | − | 0.669964i | \(-0.766309\pi\) |
0.951403 | + | 0.307949i | \(0.0996427\pi\) | |||||||
\(32\) | 0.269748 | − | 0.467216i | 0.0476851 | − | 0.0825930i | ||||
\(33\) | −3.59718 | − | 6.94297i | −0.626188 | − | 1.20862i | ||||
\(34\) | 1.16372 | + | 2.01561i | 0.199576 | + | 0.345675i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −7.01459 | + | 9.93559i | −1.16910 | + | 1.65593i | ||||
\(37\) | 1.78074 | 0.292752 | 0.146376 | − | 0.989229i | \(-0.453239\pi\) | ||||
0.146376 | + | 0.989229i | \(0.453239\pi\) | |||||||
\(38\) | 4.98755 | + | 8.63868i | 0.809087 | + | 1.40138i | ||||
\(39\) | 0.933463 | − | 1.45899i | 0.149474 | − | 0.233625i | ||||
\(40\) | 6.55408 | − | 11.3520i | 1.03629 | − | 1.79491i | ||||
\(41\) | −3.20321 | + | 5.54812i | −0.500257 | + | 0.866471i | 0.499743 | + | 0.866174i | \(0.333428\pi\) |
−1.00000 | 0.000297253i | \(0.999905\pi\) | ||||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.21780 | + | 9.03749i | 0.795707 | + | 1.37820i | 0.922389 | + | 0.386262i | \(0.126234\pi\) |
−0.126682 | + | 0.991943i | \(0.540433\pi\) | |||||||
\(44\) | 18.3025 | 2.75921 | ||||||||
\(45\) | −4.48755 | + | 6.35624i | −0.668964 | + | 0.947533i | ||||
\(46\) | 0.672570 | 0.0991650 | ||||||||
\(47\) | −6.08113 | − | 10.5328i | −0.887023 | − | 1.53637i | −0.843377 | − | 0.537323i | \(-0.819436\pi\) |
−0.0436467 | − | 0.999047i | \(-0.513898\pi\) | |||||||
\(48\) | −3.44805 | − | 6.65514i | −0.497683 | − | 0.960587i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 2.12422 | − | 3.67926i | 0.300410 | − | 0.520326i | ||||
\(51\) | 1.63667 | + | 0.0746406i | 0.229180 | + | 0.0104518i | ||||
\(52\) | 2.02704 | + | 3.51094i | 0.281100 | + | 0.486880i | ||||
\(53\) | −6.27335 | −0.861710 | −0.430855 | − | 0.902421i | \(-0.641788\pi\) | ||||
−0.430855 | + | 0.902421i | \(0.641788\pi\) | |||||||
\(54\) | 4.82383 | + | 11.8402i | 0.656440 | + | 1.61125i | ||||
\(55\) | 11.7089 | 1.57883 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.01459 | + | 0.319901i | 0.929105 | + | 0.0423719i | ||||
\(58\) | 3.02704 | − | 5.24299i | 0.397470 | − | 0.688438i | ||||
\(59\) | −1.36333 | + | 2.36135i | −0.177490 | + | 0.307422i | −0.941020 | − | 0.338350i | \(-0.890131\pi\) |
0.763530 | + | 0.645772i | \(0.223464\pi\) | |||||||
\(60\) | −8.37792 | − | 16.1704i | −1.08158 | − | 2.08758i | ||||
\(61\) | −1.13667 | − | 1.96878i | −0.145536 | − | 0.252076i | 0.784037 | − | 0.620714i | \(-0.213157\pi\) |
−0.929573 | + | 0.368639i | \(0.879824\pi\) | |||||||
\(62\) | 5.72665 | 0.727286 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.32743 | −0.915929 | ||||||||
\(65\) | 1.29679 | + | 2.24611i | 0.160847 | + | 0.278595i | ||||
\(66\) | 10.3691 | − | 16.2067i | 1.27634 | − | 1.99491i | ||||
\(67\) | 7.90856 | − | 13.6980i | 0.966184 | − | 1.67348i | 0.259784 | − | 0.965667i | \(-0.416349\pi\) |
0.706400 | − | 0.707813i | \(-0.250318\pi\) | |||||||
\(68\) | −1.91741 | + | 3.32105i | −0.232520 | + | 0.402737i | ||||
\(69\) | 0.255158 | − | 0.398809i | 0.0307175 | − | 0.0480110i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.27335 | 0.388475 | 0.194237 | − | 0.980955i | \(-0.437777\pi\) | ||||
0.194237 | + | 0.980955i | \(0.437777\pi\) | |||||||
\(72\) | −15.0993 | − | 1.38008i | −1.77947 | − | 0.162644i | ||||
\(73\) | 1.50739 | 0.176427 | 0.0882134 | − | 0.996102i | \(-0.471884\pi\) | ||||
0.0882134 | + | 0.996102i | \(0.471884\pi\) | |||||||
\(74\) | 2.19076 | + | 3.79450i | 0.254670 | + | 0.441102i | ||||
\(75\) | −1.37578 | − | 2.65542i | −0.158861 | − | 0.306621i | ||||
\(76\) | −8.21780 | + | 14.2336i | −0.942646 | + | 1.63271i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.25729 | + | 0.194154i | 0.482044 | + | 0.0219836i | ||||
\(79\) | −7.35447 | − | 12.7383i | −0.827443 | − | 1.43317i | −0.900038 | − | 0.435811i | \(-0.856461\pi\) |
0.0725952 | − | 0.997361i | \(-0.476872\pi\) | |||||||
\(80\) | 11.2235 | 1.25483 | ||||||||
\(81\) | 8.85087 | + | 1.63157i | 0.983430 | + | 0.181286i | ||||
\(82\) | −15.7630 | −1.74074 | ||||||||
\(83\) | −0.472958 | − | 0.819187i | −0.0519139 | − | 0.0899175i | 0.838901 | − | 0.544285i | \(-0.183199\pi\) |
−0.890815 | + | 0.454367i | \(0.849865\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.22665 | + | 2.12463i | −0.133049 | + | 0.230448i | ||||
\(86\) | −12.8384 | + | 22.2368i | −1.38440 | + | 2.39786i | ||||
\(87\) | −1.96050 | − | 3.78400i | −0.210188 | − | 0.405688i | ||||
\(88\) | 11.4086 | + | 19.7602i | 1.21616 | + | 2.10644i | ||||
\(89\) | 14.3566 | 1.52180 | 0.760899 | − | 0.648871i | \(-0.224758\pi\) | ||||
0.760899 | + | 0.648871i | \(0.224758\pi\) | |||||||
\(90\) | −19.0651 | − | 1.74255i | −2.00964 | − | 0.183681i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.554084 | + | 0.959702i | 0.0577673 | + | 0.100056i | ||||
\(93\) | 2.17257 | − | 3.39569i | 0.225285 | − | 0.352117i | ||||
\(94\) | 14.9626 | − | 25.9161i | 1.54328 | − | 2.67304i | ||||
\(95\) | −5.25729 | + | 9.10590i | −0.539387 | + | 0.934246i | ||||
\(96\) | 0.503599 | − | 0.787117i | 0.0513983 | − | 0.0803348i | ||||
\(97\) | −5.74484 | − | 9.95036i | −0.583300 | − | 1.01031i | −0.995085 | − | 0.0990246i | \(-0.968428\pi\) |
0.411785 | − | 0.911281i | \(-0.364906\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.67617 | − | 12.2969i | −0.570476 | − | 1.23589i | ||||
\(100\) | 7.00000 | 0.700000 | ||||||||
\(101\) | −1.83988 | − | 3.18677i | −0.183075 | − | 0.317096i | 0.759851 | − | 0.650097i | \(-0.225272\pi\) |
−0.942926 | + | 0.333002i | \(0.891939\pi\) | |||||||
\(102\) | 1.85447 | + | 3.57935i | 0.183620 | + | 0.354408i | ||||
\(103\) | −4.86333 | + | 8.42353i | −0.479198 | + | 0.829995i | −0.999715 | − | 0.0238560i | \(-0.992406\pi\) |
0.520518 | + | 0.853851i | \(0.325739\pi\) | |||||||
\(104\) | −2.52704 | + | 4.37697i | −0.247797 | + | 0.429197i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.71780 | − | 13.3676i | −0.749619 | − | 1.29838i | ||||
\(107\) | −1.37432 | −0.132860 | −0.0664301 | − | 0.997791i | \(-0.521161\pi\) | ||||
−0.0664301 | + | 0.997791i | \(0.521161\pi\) | |||||||
\(108\) | −12.9210 | + | 16.6376i | −1.24332 | + | 1.60095i | ||||
\(109\) | −3.39922 | −0.325587 | −0.162793 | − | 0.986660i | \(-0.552050\pi\) | ||||
−0.162793 | + | 0.986660i | \(0.552050\pi\) | |||||||
\(110\) | 14.4050 | + | 24.9501i | 1.37346 | + | 2.37890i | ||||
\(111\) | 3.08113 | + | 0.140515i | 0.292448 | + | 0.0133371i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.19436 | + | 8.99689i | −0.488644 | + | 0.846356i | −0.999915 | − | 0.0130636i | \(-0.995842\pi\) |
0.511271 | + | 0.859420i | \(0.329175\pi\) | |||||||
\(114\) | 7.94805 | + | 15.3407i | 0.744403 | + | 1.43678i | ||||
\(115\) | 0.354473 | + | 0.613964i | 0.0330547 | + | 0.0572525i | ||||
\(116\) | 9.97509 | 0.926164 | ||||||||
\(117\) | 1.73025 | − | 2.45076i | 0.159962 | − | 0.226573i | ||||
\(118\) | −6.70895 | −0.617608 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 12.2360 | − | 19.1247i | 1.11699 | − | 1.74584i | ||||
\(121\) | −4.69076 | + | 8.12463i | −0.426432 | + | 0.738603i | ||||
\(122\) | 2.79679 | − | 4.84418i | 0.253209 | − | 0.438572i | ||||
\(123\) | −5.98016 | + | 9.34689i | −0.539212 | + | 0.842781i | ||||
\(124\) | 4.71780 | + | 8.17147i | 0.423671 | + | 0.733820i | ||||
\(125\) | −8.48968 | −0.759340 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.672570 | 0.0596809 | 0.0298405 | − | 0.999555i | \(-0.490500\pi\) | ||||
0.0298405 | + | 0.999555i | \(0.490500\pi\) | |||||||
\(128\) | −9.55408 | − | 16.5482i | −0.844470 | − | 1.46266i | ||||
\(129\) | 8.31498 | + | 16.0489i | 0.732093 | + | 1.41302i | ||||
\(130\) | −3.19076 | + | 5.52655i | −0.279848 | + | 0.484711i | ||||
\(131\) | 3.95691 | − | 6.85356i | 0.345717 | − | 0.598799i | −0.639767 | − | 0.768569i | \(-0.720969\pi\) |
0.985484 | + | 0.169770i | \(0.0543026\pi\) | |||||||
\(132\) | 31.6680 | + | 1.44422i | 2.75634 | + | 0.125703i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 38.9181 | 3.36201 | ||||||||
\(135\) | −8.26615 | + | 10.6438i | −0.711437 | + | 0.916072i | ||||
\(136\) | −4.78074 | −0.409945 | ||||||||
\(137\) | 1.83628 | + | 3.18054i | 0.156884 | + | 0.271732i | 0.933744 | − | 0.357943i | \(-0.116522\pi\) |
−0.776859 | + | 0.629674i | \(0.783188\pi\) | |||||||
\(138\) | 1.16372 | + | 0.0530713i | 0.0990620 | + | 0.00451773i | ||||
\(139\) | −1.02704 | + | 1.77889i | −0.0871126 | + | 0.150883i | −0.906289 | − | 0.422658i | \(-0.861097\pi\) |
0.819177 | + | 0.573541i | \(0.194431\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.69076 | − | 18.7043i | −0.816109 | − | 1.57519i | ||||
\(142\) | 4.02704 | + | 6.97504i | 0.337942 | + | 0.585332i | ||||
\(143\) | −4.51459 | −0.377529 | ||||||||
\(144\) | −5.44085 | − | 11.7872i | −0.453405 | − | 0.982263i | ||||
\(145\) | 6.38151 | 0.529956 | ||||||||
\(146\) | 1.85447 | + | 3.21204i | 0.153477 | + | 0.265830i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.60963 | + | 6.25206i | −0.296710 | + | 0.513917i | ||||
\(149\) | 6.77188 | − | 11.7292i | 0.554774 | − | 0.960897i | −0.443147 | − | 0.896449i | \(-0.646138\pi\) |
0.997921 | − | 0.0644482i | \(-0.0205287\pi\) | |||||||
\(150\) | 3.96576 | − | 6.19843i | 0.323803 | − | 0.506099i | ||||
\(151\) | −4.96410 | − | 8.59808i | −0.403973 | − | 0.699702i | 0.590228 | − | 0.807236i | \(-0.299038\pi\) |
−0.994201 | + | 0.107535i | \(0.965704\pi\) | |||||||
\(152\) | −20.4897 | −1.66193 | ||||||||
\(153\) | 2.82597 | + | 0.258294i | 0.228466 | + | 0.0208818i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.01819 | + | 5.22765i | 0.242427 | + | 0.419895i | ||||
\(156\) | 3.23025 | + | 6.23476i | 0.258627 | + | 0.499181i | ||||
\(157\) | 3.02704 | − | 5.24299i | 0.241584 | − | 0.418436i | −0.719581 | − | 0.694408i | \(-0.755666\pi\) |
0.961166 | + | 0.275972i | \(0.0889996\pi\) | |||||||
\(158\) | 18.0957 | − | 31.3427i | 1.43962 | − | 2.49349i | ||||
\(159\) | −10.8545 | − | 0.495019i | −0.860816 | − | 0.0392575i | ||||
\(160\) | 0.699612 | + | 1.21176i | 0.0553092 | + | 0.0957983i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 7.41216 | + | 20.8672i | 0.582354 | + | 1.63948i | ||||
\(163\) | 17.8171 | 1.39554 | 0.697772 | − | 0.716320i | \(-0.254175\pi\) | ||||
0.697772 | + | 0.716320i | \(0.254175\pi\) | |||||||
\(164\) | −12.9861 | − | 22.4926i | −1.01404 | − | 1.75637i | ||||
\(165\) | 20.2594 | + | 0.923932i | 1.57719 | + | 0.0719280i | ||||
\(166\) | 1.16372 | − | 2.01561i | 0.0903218 | − | 0.156442i | ||||
\(167\) | −4.23385 | + | 7.33325i | −0.327625 | + | 0.567464i | −0.982040 | − | 0.188672i | \(-0.939582\pi\) |
0.654415 | + | 0.756136i | \(0.272915\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.00000 | + | 10.3923i | 0.461538 | + | 0.799408i | ||||
\(170\) | −6.03638 | −0.462969 | ||||||||
\(171\) | 12.1118 | + | 1.10702i | 0.926210 | + | 0.0846558i | ||||
\(172\) | −42.3068 | −3.22586 | ||||||||
\(173\) | 8.67830 | + | 15.0313i | 0.659799 | + | 1.14281i | 0.980667 | + | 0.195682i | \(0.0626920\pi\) |
−0.320868 | + | 0.947124i | \(0.603975\pi\) | |||||||
\(174\) | 5.65126 | − | 8.83284i | 0.428421 | − | 0.669616i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −9.76829 | + | 16.9192i | −0.736312 | + | 1.27533i | ||||
\(177\) | −2.54523 | + | 3.97816i | −0.191311 | + | 0.299017i | ||||
\(178\) | 17.6623 | + | 30.5919i | 1.32384 | + | 2.29296i | ||||
\(179\) | −11.3494 | −0.848295 | −0.424147 | − | 0.905593i | \(-0.639426\pi\) | ||||
−0.424147 | + | 0.905593i | \(0.639426\pi\) | |||||||
\(180\) | −13.2199 | − | 28.6399i | −0.985356 | − | 2.13469i | ||||
\(181\) | −21.8889 | −1.62699 | −0.813495 | − | 0.581572i | \(-0.802438\pi\) | ||||
−0.813495 | + | 0.581572i | \(0.802438\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.81138 | − | 3.49617i | −0.133901 | − | 0.258444i | ||||
\(184\) | −0.690757 | + | 1.19643i | −0.0509233 | + | 0.0882018i | ||||
\(185\) | −2.30924 | + | 3.99973i | −0.169779 | + | 0.294066i | ||||
\(186\) | 9.90856 | + | 0.451880i | 0.726531 | + | 0.0331335i | ||||
\(187\) | −2.13521 | − | 3.69829i | −0.156142 | − | 0.270446i | ||||
\(188\) | 49.3068 | 3.59607 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −25.8712 | −1.87689 | ||||||||
\(191\) | 0.350874 | + | 0.607731i | 0.0253883 | + | 0.0439739i | 0.878440 | − | 0.477852i | \(-0.158584\pi\) |
−0.853052 | + | 0.521826i | \(0.825251\pi\) | |||||||
\(192\) | −12.6783 | − | 0.578195i | −0.914978 | − | 0.0417276i | ||||
\(193\) | −6.07227 | + | 10.5175i | −0.437092 | + | 0.757065i | −0.997464 | − | 0.0711760i | \(-0.977325\pi\) |
0.560372 | + | 0.828241i | \(0.310658\pi\) | |||||||
\(194\) | 14.1352 | − | 24.4829i | 1.01485 | − | 1.75777i | ||||
\(195\) | 2.06654 | + | 3.98866i | 0.147988 | + | 0.285634i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −16.4107 | −1.16921 | −0.584607 | − | 0.811317i | \(-0.698751\pi\) | ||||
−0.584607 | + | 0.811317i | \(0.698751\pi\) | |||||||
\(198\) | 19.2199 | − | 27.2235i | 1.36590 | − | 1.93469i | ||||
\(199\) | −22.7060 | −1.60959 | −0.804794 | − | 0.593555i | \(-0.797724\pi\) | ||||
−0.804794 | + | 0.593555i | \(0.797724\pi\) | |||||||
\(200\) | 4.36333 | + | 7.55750i | 0.308534 | + | 0.534396i | ||||
\(201\) | 14.7647 | − | 23.0770i | 1.04142 | − | 1.62773i | ||||
\(202\) | 4.52704 | − | 7.84107i | 0.318522 | − | 0.551696i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.57966 | + | 5.59496i | −0.250627 | + | 0.391726i | ||||
\(205\) | −8.30778 | − | 14.3895i | −0.580241 | − | 1.00501i | ||||
\(206\) | −23.9325 | −1.66745 | ||||||||
\(207\) | 0.472958 | − | 0.669906i | 0.0328728 | − | 0.0465617i | ||||
\(208\) | −4.32743 | −0.300053 | ||||||||
\(209\) | −9.15126 | − | 15.8505i | −0.633006 | − | 1.09640i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.28074 | + | 3.95035i | −0.157012 | + | 0.271954i | −0.933790 | − | 0.357822i | \(-0.883520\pi\) |
0.776778 | + | 0.629775i | \(0.216853\pi\) | |||||||
\(212\) | 12.7163 | − | 22.0253i | 0.873362 | − | 1.51271i | ||||
\(213\) | 5.66372 | + | 0.258294i | 0.388071 | + | 0.0176980i | ||||
\(214\) | −1.69076 | − | 2.92848i | −0.115578 | − | 0.200187i | ||||
\(215\) | −27.0656 | −1.84586 | ||||||||
\(216\) | −26.0167 | − | 3.57935i | −1.77021 | − | 0.243544i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.18190 | − | 7.24327i | −0.283234 | − | 0.490576i | ||||
\(219\) | 2.60817 | + | 0.118946i | 0.176244 | + | 0.00803760i | ||||
\(220\) | −23.7345 | + | 41.1094i | −1.60018 | + | 2.77160i | ||||
\(221\) | 0.472958 | − | 0.819187i | 0.0318146 | − | 0.0551045i | ||||
\(222\) | 3.49115 | + | 6.73832i | 0.234310 | + | 0.452246i | ||||
\(223\) | 6.66225 | + | 11.5394i | 0.446137 | + | 0.772733i | 0.998131 | − | 0.0611159i | \(-0.0194659\pi\) |
−0.551993 | + | 0.833849i | \(0.686133\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.17091 | − | 4.70310i | −0.144727 | − | 0.313540i | ||||
\(226\) | −25.5615 | −1.70032 | ||||||||
\(227\) | 0.690757 | + | 1.19643i | 0.0458472 | + | 0.0794096i | 0.888038 | − | 0.459769i | \(-0.152068\pi\) |
−0.842191 | + | 0.539179i | \(0.818735\pi\) | |||||||
\(228\) | −15.3420 | + | 23.9793i | −1.01605 | + | 1.58807i | ||||
\(229\) | −8.98968 | + | 15.5706i | −0.594055 | + | 1.02893i | 0.399625 | + | 0.916679i | \(0.369141\pi\) |
−0.993679 | + | 0.112254i | \(0.964193\pi\) | |||||||
\(230\) | −0.872181 | + | 1.51066i | −0.0575099 | + | 0.0996101i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 6.21780 | + | 10.7695i | 0.408219 | + | 0.707055i | ||||
\(233\) | −18.9823 | −1.24357 | −0.621786 | − | 0.783187i | \(-0.713592\pi\) | ||||
−0.621786 | + | 0.783187i | \(0.713592\pi\) | |||||||
\(234\) | 7.35087 | + | 0.671871i | 0.480542 | + | 0.0439216i | ||||
\(235\) | 31.5438 | 2.05769 | ||||||||
\(236\) | −5.52704 | − | 9.57312i | −0.359780 | − | 0.623157i | ||||
\(237\) | −11.7199 | − | 22.6208i | −0.761292 | − | 1.46938i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −2.44592 | + | 4.23645i | −0.158213 | + | 0.274033i | −0.934224 | − | 0.356686i | \(-0.883907\pi\) |
0.776011 | + | 0.630719i | \(0.217240\pi\) | |||||||
\(240\) | 19.4195 | + | 0.885629i | 1.25353 | + | 0.0571671i | ||||
\(241\) | −13.0797 | − | 22.6546i | −0.842535 | − | 1.45931i | −0.887745 | − | 0.460336i | \(-0.847729\pi\) |
0.0452094 | − | 0.998978i | \(-0.485604\pi\) | |||||||
\(242\) | −23.0833 | −1.48385 | ||||||||
\(243\) | 15.1855 | + | 3.52144i | 0.974150 | + | 0.225901i | ||||
\(244\) | 9.21634 | 0.590016 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −27.2740 | − | 1.24383i | −1.73893 | − | 0.0793039i | ||||
\(247\) | 2.02704 | − | 3.51094i | 0.128978 | − | 0.223396i | ||||
\(248\) | −5.88151 | + | 10.1871i | −0.373477 | + | 0.646880i | ||||
\(249\) | −0.753696 | − | 1.45472i | −0.0477635 | − | 0.0921892i | ||||
\(250\) | −10.4445 | − | 18.0903i | −0.660565 | − | 1.14413i | ||||
\(251\) | −18.4576 | −1.16503 | −0.582516 | − | 0.812819i | \(-0.697932\pi\) | ||||
−0.582516 | + | 0.812819i | \(0.697932\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.23405 | −0.0775838 | ||||||||
\(254\) | 0.827430 | + | 1.43315i | 0.0519176 | + | 0.0899239i | ||||
\(255\) | −2.29007 | + | 3.57935i | −0.143410 | + | 0.224147i | ||||
\(256\) | 16.1804 | − | 28.0253i | 1.01128 | − | 1.75158i | ||||
\(257\) | −5.86693 | + | 10.1618i | −0.365969 | + | 0.633876i | −0.988931 | − | 0.148375i | \(-0.952596\pi\) |
0.622962 | + | 0.782252i | \(0.285929\pi\) | |||||||
\(258\) | −23.9684 | + | 37.4622i | −1.49221 | + | 2.33230i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −10.5146 | −0.652087 | ||||||||
\(261\) | −3.09358 | − | 6.70198i | −0.191488 | − | 0.414842i | ||||
\(262\) | 19.4720 | 1.20298 | ||||||||
\(263\) | 3.76089 | + | 6.51406i | 0.231907 | + | 0.401674i | 0.958369 | − | 0.285532i | \(-0.0921703\pi\) |
−0.726463 | + | 0.687206i | \(0.758837\pi\) | |||||||
\(264\) | 18.1804 | + | 35.0904i | 1.11893 | + | 2.15966i | ||||
\(265\) | 8.13521 | − | 14.0906i | 0.499742 | − | 0.865579i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 24.8406 | + | 1.13285i | 1.52022 | + | 0.0693296i | ||||
\(268\) | 32.0620 | + | 55.5329i | 1.95850 | + | 3.39221i | ||||
\(269\) | 18.8348 | 1.14838 | 0.574190 | − | 0.818722i | \(-0.305317\pi\) | ||||
0.574190 | + | 0.818722i | \(0.305317\pi\) | |||||||
\(270\) | −32.8499 | − | 4.51945i | −1.99918 | − | 0.275045i | ||||
\(271\) | 23.9823 | 1.45682 | 0.728410 | − | 0.685141i | \(-0.240260\pi\) | ||||
0.728410 | + | 0.685141i | \(0.240260\pi\) | |||||||
\(272\) | −2.04669 | − | 3.54498i | −0.124099 | − | 0.214946i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.51819 | + | 7.82573i | −0.272954 | + | 0.472770i | ||||
\(275\) | −3.89757 | + | 6.75078i | −0.235032 | + | 0.407088i | ||||
\(276\) | 0.882977 | + | 1.70425i | 0.0531490 | + | 0.102584i | ||||
\(277\) | −3.58113 | − | 6.20269i | −0.215169 | − | 0.372684i | 0.738156 | − | 0.674630i | \(-0.235697\pi\) |
−0.953325 | + | 0.301947i | \(0.902364\pi\) | |||||||
\(278\) | −5.05408 | −0.303124 | ||||||||
\(279\) | 4.02704 | − | 5.70397i | 0.241093 | − | 0.341488i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.44085 | − | 12.8879i | −0.443884 | − | 0.768830i | 0.554090 | − | 0.832457i | \(-0.313067\pi\) |
−0.997974 | + | 0.0636271i | \(0.979733\pi\) | |||||||
\(282\) | 27.9341 | − | 43.6606i | 1.66345 | − | 2.59995i | ||||
\(283\) | 9.99854 | − | 17.3180i | 0.594351 | − | 1.02945i | −0.399287 | − | 0.916826i | \(-0.630742\pi\) |
0.993638 | − | 0.112621i | \(-0.0359245\pi\) | |||||||
\(284\) | −6.63521 | + | 11.4925i | −0.393727 | + | 0.681956i | ||||
\(285\) | −9.81498 | + | 15.3407i | −0.581389 | + | 0.908703i | ||||
\(286\) | −5.55408 | − | 9.61996i | −0.328420 | − | 0.568840i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0.933463 | − | 1.32217i | 0.0550048 | − | 0.0779098i | ||||
\(289\) | −16.1052 | −0.947367 | ||||||||
\(290\) | 7.85087 | + | 13.5981i | 0.461019 | + | 0.798509i | ||||
\(291\) | −9.15486 | − | 17.6699i | −0.536667 | − | 1.03583i | ||||
\(292\) | −3.05555 | + | 5.29236i | −0.178812 | + | 0.309712i | ||||
\(293\) | 7.53278 | − | 13.0472i | 0.440070 | − | 0.762223i | −0.557625 | − | 0.830093i | \(-0.688287\pi\) |
0.997694 | + | 0.0678705i | \(0.0216205\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.53590 | − | 6.12435i | −0.205868 | − | 0.356574i | ||||
\(296\) | −9.00000 | −0.523114 | ||||||||
\(297\) | −8.85087 | − | 21.7247i | −0.513580 | − | 1.26060i | ||||
\(298\) | 33.3245 | 1.93044 | ||||||||
\(299\) | −0.136673 | − | 0.236725i | −0.00790401 | − | 0.0136901i | ||||
\(300\) | 12.1118 | + | 0.552358i | 0.699273 | + | 0.0318904i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.2142 | − | 21.1556i | 0.702848 | − | 1.21737i | ||||
\(303\) | −2.93200 | − | 5.65910i | −0.168439 | − | 0.325107i | ||||
\(304\) | −8.77188 | − | 15.1933i | −0.503102 | − | 0.871398i | ||||
\(305\) | 5.89610 | 0.337610 | ||||||||
\(306\) | 2.92627 | + | 6.33951i | 0.167283 | + | 0.362406i | ||||
\(307\) | 27.2704 | 1.55641 | 0.778203 | − | 0.628013i | \(-0.216132\pi\) | ||||
0.778203 | + | 0.628013i | \(0.216132\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.07947 | + | 14.1911i | −0.516513 | + | 0.807302i | ||||
\(310\) | −7.42627 | + | 12.8627i | −0.421784 | + | 0.730551i | ||||
\(311\) | −7.99115 | + | 13.8411i | −0.453136 | + | 0.784855i | −0.998579 | − | 0.0532931i | \(-0.983028\pi\) |
0.545443 | + | 0.838148i | \(0.316362\pi\) | |||||||
\(312\) | −4.71780 | + | 7.37385i | −0.267093 | + | 0.417462i | ||||
\(313\) | 5.79893 | + | 10.0440i | 0.327775 | + | 0.567722i | 0.982070 | − | 0.188517i | \(-0.0603680\pi\) |
−0.654295 | + | 0.756239i | \(0.727035\pi\) | |||||||
\(314\) | 14.8961 | 0.840636 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 59.6313 | 3.35452 | ||||||||
\(317\) | 1.00885 | + | 1.74739i | 0.0566629 | + | 0.0981430i | 0.892965 | − | 0.450125i | \(-0.148621\pi\) |
−0.836303 | + | 0.548268i | \(0.815287\pi\) | |||||||
\(318\) | −12.2989 | − | 23.7384i | −0.689690 | − | 1.33118i | ||||
\(319\) | −5.55408 | + | 9.61996i | −0.310969 | + | 0.538614i | ||||
\(320\) | 9.50214 | − | 16.4582i | 0.531186 | − | 0.920040i | ||||
\(321\) | −2.37792 | − | 0.108445i | −0.132722 | − | 0.00605281i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.83482 | 0.213375 | ||||||||
\(324\) | −23.6694 | + | 27.7676i | −1.31497 | + | 1.54265i | ||||
\(325\) | −1.72665 | −0.0957775 | ||||||||
\(326\) | 21.9195 | + | 37.9658i | 1.21401 | + | 2.10273i | ||||
\(327\) | −5.88151 | − | 0.268227i | −0.325249 | − | 0.0148330i | ||||
\(328\) | 16.1893 | − | 28.0407i | 0.893904 | − | 1.54829i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 22.9554 | + | 44.3067i | 1.26366 | + | 2.43900i | ||||
\(331\) | 9.85447 | + | 17.0684i | 0.541651 | + | 0.938167i | 0.998809 | + | 0.0487815i | \(0.0155338\pi\) |
−0.457159 | + | 0.889385i | \(0.651133\pi\) | |||||||
\(332\) | 3.83482 | 0.210463 | ||||||||
\(333\) | 5.32004 | + | 0.486253i | 0.291536 | + | 0.0266465i | ||||
\(334\) | −20.8348 | −1.14003 | ||||||||
\(335\) | 20.5115 | + | 35.5269i | 1.12066 | + | 1.94104i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.5256 | − | 25.1590i | 0.791259 | − | 1.37050i | −0.133929 | − | 0.990991i | \(-0.542759\pi\) |
0.925188 | − | 0.379509i | \(-0.123907\pi\) | |||||||
\(338\) | −14.7630 | + | 25.5703i | −0.803003 | + | 1.39084i | ||||
\(339\) | −9.69748 | + | 15.1570i | −0.526695 | + | 0.823216i | ||||
\(340\) | −4.97296 | − | 8.61342i | −0.269697 | − | 0.467128i | ||||
\(341\) | −10.5074 | −0.569007 | ||||||||
\(342\) | 12.5416 | + | 27.1704i | 0.678174 | + | 1.46921i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −26.3712 | − | 45.6763i | −1.42184 | − | 2.46270i | ||||
\(345\) | 0.564880 | + | 1.09028i | 0.0304121 | + | 0.0586989i | ||||
\(346\) | −21.3530 | + | 36.9845i | −1.14794 | + | 1.98830i | ||||
\(347\) | −14.5416 | + | 25.1868i | −0.780636 | + | 1.35210i | 0.150936 | + | 0.988544i | \(0.451771\pi\) |
−0.931572 | + | 0.363557i | \(0.881562\pi\) | |||||||
\(348\) | 17.2594 | + | 0.787117i | 0.925203 | + | 0.0421939i | ||||
\(349\) | 12.3815 | + | 21.4454i | 0.662767 | + | 1.14795i | 0.979885 | + | 0.199561i | \(0.0639515\pi\) |
−0.317118 | + | 0.948386i | \(0.602715\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.18716 | − | 4.10390i | 0.170118 | − | 0.219050i | ||||
\(352\) | −2.43560 | −0.129818 | ||||||||
\(353\) | −16.6513 | − | 28.8408i | −0.886257 | − | 1.53504i | −0.844266 | − | 0.535925i | \(-0.819963\pi\) |
−0.0419914 | − | 0.999118i | \(-0.513370\pi\) | |||||||
\(354\) | −11.6082 | − | 0.529391i | −0.616967 | − | 0.0281368i | ||||
\(355\) | −4.24484 | + | 7.35228i | −0.225293 | + | 0.390219i | ||||
\(356\) | −29.1015 | + | 50.4052i | −1.54237 | + | 2.67147i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.9626 | − | 24.1840i | −0.737949 | − | 1.27816i | ||||
\(359\) | 25.5366 | 1.34777 | 0.673884 | − | 0.738837i | \(-0.264625\pi\) | ||||
0.673884 | + | 0.738837i | \(0.264625\pi\) | |||||||
\(360\) | 22.6804 | − | 32.1250i | 1.19536 | − | 1.69314i | ||||
\(361\) | −2.56440 | −0.134968 | ||||||||
\(362\) | −26.9289 | − | 46.6422i | −1.41535 | − | 2.45146i | ||||
\(363\) | −8.75729 | + | 13.6875i | −0.459639 | + | 0.718409i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.95477 | + | 3.38576i | −0.102317 | + | 0.177219i | ||||
\(366\) | 5.22140 | − | 8.16097i | 0.272927 | − | 0.426581i | ||||
\(367\) | 13.7252 | + | 23.7727i | 0.716449 | + | 1.24093i | 0.962398 | + | 0.271644i | \(0.0875672\pi\) |
−0.245949 | + | 0.969283i | \(0.579100\pi\) | |||||||
\(368\) | −1.18289 | −0.0616622 | ||||||||
\(369\) | −11.0847 | + | 15.7006i | −0.577048 | + | 0.817341i | ||||
\(370\) | −11.3638 | −0.590776 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 7.51819 | + | 14.5110i | 0.389800 | + | 0.752359i | ||||
\(373\) | −8.16372 | + | 14.1400i | −0.422701 | + | 0.732140i | −0.996203 | − | 0.0870646i | \(-0.972251\pi\) |
0.573502 | + | 0.819204i | \(0.305585\pi\) | |||||||
\(374\) | 5.25370 | − | 9.09967i | 0.271662 | − | 0.470533i | ||||
\(375\) | −14.6893 | − | 0.669906i | −0.758552 | − | 0.0345938i | ||||
\(376\) | 30.7345 | + | 53.2338i | 1.58501 | + | 2.74532i | ||||
\(377\) | −2.46050 | −0.126722 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.0364 | 0.618267 | 0.309134 | − | 0.951019i | \(-0.399961\pi\) | ||||
0.309134 | + | 0.951019i | \(0.399961\pi\) | |||||||
\(380\) | −21.3135 | − | 36.9161i | −1.09336 | − | 1.89376i | ||||
\(381\) | 1.16372 | + | 0.0530713i | 0.0596189 | + | 0.00271892i | ||||
\(382\) | −0.863327 | + | 1.49533i | −0.0441716 | + | 0.0765075i | ||||
\(383\) | −6.21780 | + | 10.7695i | −0.317715 | + | 0.550298i | −0.980011 | − | 0.198944i | \(-0.936249\pi\) |
0.662296 | + | 0.749242i | \(0.269582\pi\) | |||||||
\(384\) | −15.2252 | − | 29.3864i | −0.776957 | − | 1.49962i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −29.8817 | −1.52094 | ||||||||
\(387\) | 13.1206 | + | 28.4247i | 0.666959 | + | 1.44491i | ||||
\(388\) | 46.5801 | 2.36475 | ||||||||
\(389\) | −10.3004 | − | 17.8408i | −0.522250 | − | 0.904564i | −0.999665 | − | 0.0258860i | \(-0.991759\pi\) |
0.477414 | − | 0.878678i | \(-0.341574\pi\) | |||||||
\(390\) | −5.95691 | + | 9.31056i | −0.301640 | + | 0.471458i | ||||
\(391\) | 0.129281 | − | 0.223922i | 0.00653803 | − | 0.0113242i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.38725 | − | 11.5462i | 0.372637 | − | 0.582427i | ||||
\(394\) | −20.1893 | − | 34.9689i | −1.01712 | − | 1.76171i | ||||
\(395\) | 38.1488 | 1.91948 | ||||||||
\(396\) | 54.6797 | + | 4.99773i | 2.74776 | + | 0.251145i | ||||
\(397\) | 23.6372 | 1.18631 | 0.593157 | − | 0.805087i | \(-0.297881\pi\) | ||||
0.593157 | + | 0.805087i | \(0.297881\pi\) | |||||||
\(398\) | −27.9341 | − | 48.3833i | −1.40021 | − | 2.42524i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.73599 | + | 6.47092i | −0.186799 | + | 0.323546i | ||||
\(401\) | 1.28220 | − | 2.22084i | 0.0640300 | − | 0.110903i | −0.832233 | − | 0.554426i | \(-0.812938\pi\) |
0.896263 | + | 0.443522i | \(0.146271\pi\) | |||||||
\(402\) | 67.3381 | + | 3.07096i | 3.35852 | + | 0.153165i | ||||
\(403\) | −1.16372 | − | 2.01561i | −0.0579688 | − | 0.100405i | ||||
\(404\) | 14.9181 | 0.742202 | ||||||||
\(405\) | −15.1424 | + | 17.7642i | −0.752432 | + | 0.882710i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.01965 | − | 6.96224i | −0.199247 | − | 0.345105i | ||||
\(408\) | −8.27188 | − | 0.377240i | −0.409519 | − | 0.0186761i | ||||
\(409\) | −17.1623 | + | 29.7259i | −0.848619 | + | 1.46985i | 0.0338223 | + | 0.999428i | \(0.489232\pi\) |
−0.882441 | + | 0.470423i | \(0.844101\pi\) | |||||||
\(410\) | 20.4413 | − | 35.4054i | 1.00953 | − | 1.74855i | ||||
\(411\) | 2.92627 | + | 5.64803i | 0.144342 | + | 0.278597i | ||||
\(412\) | −19.7163 | − | 34.1497i | −0.971354 | − | 1.68243i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 2.00933 | + | 0.183653i | 0.0987533 | + | 0.00902607i | ||||
\(415\) | 2.45331 | 0.120428 | ||||||||
\(416\) | −0.269748 | − | 0.467216i | −0.0132255 | − | 0.0229072i | ||||
\(417\) | −1.91741 | + | 2.99689i | −0.0938960 | + | 0.146758i | ||||
\(418\) | 22.5167 | − | 39.0001i | 1.10133 | − | 1.90756i | ||||
\(419\) | 2.02850 | − | 3.51347i | 0.0990989 | − | 0.171644i | −0.812213 | − | 0.583361i | \(-0.801737\pi\) |
0.911312 | + | 0.411717i | \(0.135071\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.5344 | + | 18.2462i | 0.513417 | + | 0.889264i | 0.999879 | + | 0.0155624i | \(0.00495387\pi\) |
−0.486462 | + | 0.873702i | \(0.661713\pi\) | |||||||
\(422\) | −11.2235 | −0.546353 | ||||||||
\(423\) | −15.2915 | − | 33.1278i | −0.743500 | − | 1.61073i | ||||
\(424\) | 31.7060 | 1.53978 | ||||||||
\(425\) | −0.816635 | − | 1.41445i | −0.0396126 | − | 0.0686110i | ||||
\(426\) | 6.41741 | + | 12.3863i | 0.310925 | + | 0.600121i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 2.78580 | − | 4.82515i | 0.134657 | − | 0.233232i | ||||
\(429\) | −7.81138 | − | 0.356238i | −0.377137 | − | 0.0171993i | ||||
\(430\) | −33.2975 | − | 57.6729i | −1.60575 | − | 2.78123i | ||||
\(431\) | 22.6185 | 1.08949 | 0.544747 | − | 0.838600i | \(-0.316626\pi\) | ||||
0.544747 | + | 0.838600i | \(0.316626\pi\) | |||||||
\(432\) | −8.48395 | − | 20.8241i | −0.408184 | − | 1.00190i | ||||
\(433\) | −2.41789 | −0.116196 | −0.0580982 | − | 0.998311i | \(-0.518504\pi\) | ||||
−0.0580982 | + | 0.998311i | \(0.518504\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 11.0416 | + | 0.503554i | 0.529406 | + | 0.0241436i | ||||
\(436\) | 6.89037 | − | 11.9345i | 0.329989 | − | 0.571557i | ||||
\(437\) | 0.554084 | − | 0.959702i | 0.0265054 | − | 0.0459088i | ||||
\(438\) | 2.95525 | + | 5.70397i | 0.141207 | + | 0.272546i | ||||
\(439\) | −11.7448 | − | 20.3427i | −0.560551 | − | 0.970902i | −0.997448 | − | 0.0713911i | \(-0.977256\pi\) |
0.436898 | − | 0.899511i | \(-0.356077\pi\) | |||||||
\(440\) | −59.1780 | −2.82120 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.32743 | 0.110705 | ||||||||
\(443\) | 6.70895 | + | 11.6202i | 0.318752 | + | 0.552094i | 0.980228 | − | 0.197872i | \(-0.0634031\pi\) |
−0.661476 | + | 0.749966i | \(0.730070\pi\) | |||||||
\(444\) | −6.73891 | + | 10.5328i | −0.319815 | + | 0.499866i | ||||
\(445\) | −18.6175 | + | 32.2465i | −0.882554 | + | 1.52863i | ||||
\(446\) | −16.3925 | + | 28.3927i | −0.776208 | + | 1.34443i | ||||
\(447\) | 12.6426 | − | 19.7602i | 0.597975 | − | 0.934625i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.16225 | −0.432393 | −0.216197 | − | 0.976350i | \(-0.569365\pi\) | ||||
−0.216197 | + | 0.976350i | \(0.569365\pi\) | |||||||
\(450\) | 7.35087 | − | 10.4119i | 0.346524 | − | 0.490822i | ||||
\(451\) | 28.9224 | 1.36190 | ||||||||
\(452\) | −21.0584 | − | 36.4741i | −0.990502 | − | 1.71560i | ||||
\(453\) | −7.91069 | − | 15.2686i | −0.371677 | − | 0.717379i | ||||
\(454\) | −1.69961 | + | 2.94381i | −0.0797667 | + | 0.138160i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −35.4523 | − | 1.61680i | −1.66021 | − | 0.0757138i | ||||
\(457\) | −4.40856 | − | 7.63584i | −0.206224 | − | 0.357190i | 0.744298 | − | 0.667847i | \(-0.232784\pi\) |
−0.950522 | + | 0.310658i | \(0.899451\pi\) | |||||||
\(458\) | −44.2383 | −2.06712 | ||||||||
\(459\) | 4.86926 | + | 0.669906i | 0.227277 | + | 0.0312685i | ||||
\(460\) | −2.87412 | −0.134007 | ||||||||
\(461\) | −2.82957 | − | 4.90095i | −0.131786 | − | 0.228260i | 0.792579 | − | 0.609769i | \(-0.208738\pi\) |
−0.924365 | + | 0.381509i | \(0.875405\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.86333 | + | 13.6197i | −0.365440 | + | 0.632960i | −0.988847 | − | 0.148937i | \(-0.952415\pi\) |
0.623407 | + | 0.781898i | \(0.285748\pi\) | |||||||
\(464\) | −5.32383 | + | 9.22115i | −0.247153 | + | 0.428081i | ||||
\(465\) | 4.80972 | + | 9.28332i | 0.223045 | + | 0.430504i | ||||
\(466\) | −23.3530 | − | 40.4486i | −1.08181 | − | 1.87375i | ||||
\(467\) | 21.9971 | 1.01790 | 0.508952 | − | 0.860795i | \(-0.330033\pi\) | ||||
0.508952 | + | 0.860795i | \(0.330033\pi\) | |||||||
\(468\) | 5.09718 | + | 11.0426i | 0.235617 | + | 0.510445i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 38.8068 | + | 67.2153i | 1.79002 | + | 3.10041i | ||||
\(471\) | 5.65126 | − | 8.83284i | 0.260396 | − | 0.406996i | ||||
\(472\) | 6.89037 | − | 11.9345i | 0.317155 | − | 0.549328i | ||||
\(473\) | 23.5562 | − | 40.8006i | 1.08312 | − | 1.87601i | ||||
\(474\) | 33.7834 | − | 52.8029i | 1.55172 | − | 2.42532i | ||||
\(475\) | −3.50000 | − | 6.06218i | −0.160591 | − | 0.278152i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −18.7419 | − | 1.71301i | −0.858133 | − | 0.0784336i | ||||
\(478\) | −12.0364 | −0.550531 | ||||||||
\(479\) | 12.4875 | + | 21.6291i | 0.570571 | + | 0.988257i | 0.996507 | + | 0.0835043i | \(0.0266112\pi\) |
−0.425937 | + | 0.904753i | \(0.640055\pi\) | |||||||
\(480\) | 1.11489 | + | 2.15186i | 0.0508874 | + | 0.0982186i | ||||
\(481\) | 0.890369 | − | 1.54216i | 0.0405973 | − | 0.0703166i | ||||
\(482\) | 32.1826 | − | 55.7419i | 1.46588 | − | 2.53897i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −19.0167 | − | 32.9379i | −0.864397 | − | 1.49718i | ||||
\(485\) | 29.7994 | 1.35312 | ||||||||
\(486\) | 11.1783 | + | 36.6904i | 0.507058 | + | 1.66431i | ||||
\(487\) | −17.5979 | −0.797435 | −0.398717 | − | 0.917074i | \(-0.630545\pi\) | ||||
−0.398717 | + | 0.917074i | \(0.630545\pi\) | |||||||
\(488\) | 5.74484 | + | 9.95036i | 0.260057 | + | 0.450432i | ||||
\(489\) | 30.8281 | + | 1.40592i | 1.39410 | + | 0.0635778i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.89757 | + | 11.9469i | −0.311283 | + | 0.539158i | −0.978640 | − | 0.205580i | \(-0.934092\pi\) |
0.667358 | + | 0.744737i | \(0.267425\pi\) | |||||||
\(492\) | −20.6944 | − | 39.9425i | −0.932974 | − | 1.80075i | ||||
\(493\) | −1.16372 | − | 2.01561i | −0.0524111 | − | 0.0907787i | ||||
\(494\) | 9.97509 | 0.448801 | ||||||||
\(495\) | 34.9810 | + | 3.19727i | 1.57228 | + | 0.143707i | ||||
\(496\) | −10.0718 | −0.452237 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 2.17257 | − | 3.39569i | 0.0973552 | − | 0.152165i | ||||
\(499\) | −6.54377 | + | 11.3341i | −0.292939 | + | 0.507386i | −0.974503 | − | 0.224373i | \(-0.927967\pi\) |
0.681564 | + | 0.731758i | \(0.261300\pi\) | |||||||
\(500\) | 17.2089 | − | 29.8068i | 0.769607 | − | 1.33300i | ||||
\(501\) | −7.90428 | + | 12.3543i | −0.353137 | + | 0.551949i | ||||
\(502\) | −22.7075 | − | 39.3305i | −1.01348 | − | 1.75541i | ||||
\(503\) | 22.3068 | 0.994611 | 0.497305 | − | 0.867576i | \(-0.334323\pi\) | ||||
0.497305 | + | 0.867576i | \(0.334323\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.54377 | 0.424692 | ||||||||
\(506\) | −1.51819 | − | 2.62958i | −0.0674917 | − | 0.116899i | ||||
\(507\) | 9.56148 | + | 18.4548i | 0.424640 | + | 0.819605i | ||||
\(508\) | −1.36333 | + | 2.36135i | −0.0604879 | + | 0.104768i | ||||
\(509\) | −7.94659 | + | 13.7639i | −0.352226 | + | 0.610074i | −0.986639 | − | 0.162920i | \(-0.947909\pi\) |
0.634413 | + | 0.772994i | \(0.281242\pi\) | |||||||
\(510\) | −10.4445 | − | 0.476320i | −0.462488 | − | 0.0210918i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 41.4078 | 1.82998 | ||||||||
\(513\) | 20.8691 | + | 2.87114i | 0.921392 | + | 0.126764i | ||||
\(514\) | −28.8712 | −1.27345 | ||||||||
\(515\) | −12.6134 | − | 21.8471i | −0.555814 | − | 0.962698i | ||||
\(516\) | −73.2014 | − | 3.33836i | −3.22251 | − | 0.146963i | ||||
\(517\) | −27.4538 | + | 47.5514i | −1.20742 | + | 2.09131i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.8296 | + | 26.6927i | 0.607051 | + | 1.17168i | ||||
\(520\) | −6.55408 | − | 11.3520i | −0.287416 | − | 0.497818i | ||||
\(521\) | −4.41789 | −0.193551 | −0.0967756 | − | 0.995306i | \(-0.530853\pi\) | ||||
−0.0967756 | + | 0.995306i | \(0.530853\pi\) | |||||||
\(522\) | 10.4751 | − | 14.8371i | 0.458482 | − | 0.649403i | ||||
\(523\) | −25.2733 | −1.10513 | −0.552563 | − | 0.833471i | \(-0.686350\pi\) | ||||
−0.552563 | + | 0.833471i | \(0.686350\pi\) | |||||||
\(524\) | 16.0416 | + | 27.7849i | 0.700782 | + | 1.21379i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.25370 | + | 16.0279i | −0.403480 | + | 0.698848i | ||||
\(527\) | 1.10078 | − | 1.90660i | 0.0479506 | − | 0.0830528i | ||||
\(528\) | −18.2367 | + | 28.5036i | −0.793649 | + | 1.24046i | ||||
\(529\) | 11.4626 | + | 19.8539i | 0.498376 | + | 0.863212i | ||||
\(530\) | 40.0335 | 1.73894 | ||||||||
\(531\) | −4.71780 | + | 6.68238i | −0.204735 | + | 0.289990i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.20321 | + | 5.54812i | 0.138746 | + | 0.240316i | ||||
\(534\) | 28.1462 | + | 54.3254i | 1.21801 | + | 2.35089i | ||||
\(535\) | 1.78220 | − | 3.08686i | 0.0770513 | − | 0.133457i | ||||
\(536\) | −39.9705 | + | 69.2310i | −1.72646 | + | 2.99032i | ||||
\(537\) | −19.6373 | − | 0.895562i | −0.847414 | − | 0.0386464i | ||||
\(538\) | 23.1716 | + | 40.1344i | 0.998998 | + | 1.73032i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −20.6139 | − | 50.5974i | −0.887081 | − | 2.17736i | ||||
\(541\) | −3.43852 | −0.147834 | −0.0739168 | − | 0.997264i | \(-0.523550\pi\) | ||||
−0.0739168 | + | 0.997264i | \(0.523550\pi\) | |||||||
\(542\) | 29.5043 | + | 51.1029i | 1.26732 | + | 2.19506i | ||||
\(543\) | −37.8733 | − | 1.72722i | −1.62530 | − | 0.0741219i | ||||
\(544\) | 0.255158 | − | 0.441947i | 0.0109398 | − | 0.0189483i | ||||
\(545\) | 4.40808 | − | 7.63501i | 0.188821 | − | 0.327048i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.46410 | + | 6.00000i | 0.148114 | + | 0.256542i | 0.930531 | − | 0.366214i | \(-0.119346\pi\) |
−0.782416 | + | 0.622756i | \(0.786013\pi\) | |||||||
\(548\) | −14.8889 | −0.636023 | ||||||||
\(549\) | −2.85827 | − | 6.19219i | −0.121988 | − | 0.264276i | ||||
\(550\) | −19.1800 | −0.817836 | ||||||||
\(551\) | −4.98755 | − | 8.63868i | −0.212477 | − | 0.368020i | ||||
\(552\) | −1.28959 | + | 2.01561i | −0.0548887 | + | 0.0857902i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 8.81138 | − | 15.2618i | 0.374360 | − | 0.648410i | ||||
\(555\) | −4.31118 | + | 6.73832i | −0.183000 | + | 0.286026i | ||||
\(556\) | −4.16372 | − | 7.21177i | −0.176581 | − | 0.305847i | ||||
\(557\) | 33.5835 | 1.42298 | 0.711488 | − | 0.702698i | \(-0.248021\pi\) | ||||
0.711488 | + | 0.702698i | \(0.248021\pi\) | |||||||
\(558\) | 17.1086 | + | 1.56373i | 0.724267 | + | 0.0661981i | ||||
\(559\) | 10.4356 | 0.441379 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.40263 | − | 6.56747i | −0.143659 | − | 0.277279i | ||||
\(562\) | 18.3083 | − | 31.7108i | 0.772287 | − | 1.33764i | ||||
\(563\) | 21.2396 | − | 36.7880i | 0.895142 | − | 1.55043i | 0.0615128 | − | 0.998106i | \(-0.480407\pi\) |
0.833629 | − | 0.552325i | \(-0.186259\pi\) | |||||||
\(564\) | 85.3132 | + | 3.89071i | 3.59233 | + | 0.163829i | ||||
\(565\) | −13.4720 | − | 23.3341i | −0.566770 | − | 0.981675i | ||||
\(566\) | 49.2029 | 2.06815 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −16.5438 | −0.694161 | ||||||||
\(569\) | −5.20175 | − | 9.00969i | −0.218069 | − | 0.377706i | 0.736149 | − | 0.676820i | \(-0.236642\pi\) |
−0.954217 | + | 0.299114i | \(0.903309\pi\) | |||||||
\(570\) | −44.7637 | − | 2.04145i | −1.87495 | − | 0.0855070i | ||||
\(571\) | −8.92480 | + | 15.4582i | −0.373491 | + | 0.646906i | −0.990100 | − | 0.140364i | \(-0.955173\pi\) |
0.616609 | + | 0.787270i | \(0.288506\pi\) | |||||||
\(572\) | 9.15126 | − | 15.8505i | 0.382633 | − | 0.662741i | ||||
\(573\) | 0.559145 | + | 1.07922i | 0.0233586 | + | 0.0450849i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.471974 | −0.0196827 | ||||||||
\(576\) | −21.8910 | − | 2.00085i | −0.912127 | − | 0.0833686i | ||||
\(577\) | −11.9430 | −0.497193 | −0.248597 | − | 0.968607i | \(-0.579969\pi\) | ||||
−0.248597 | + | 0.968607i | \(0.579969\pi\) | |||||||
\(578\) | −19.8135 | − | 34.3180i | −0.824134 | − | 1.42744i | ||||
\(579\) | −11.3365 | + | 17.7187i | −0.471128 | + | 0.736366i | ||||
\(580\) | −12.9356 | + | 22.4051i | −0.537122 | + | 0.930322i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 26.3894 | − | 41.2462i | 1.09388 | − | 1.70971i | ||||
\(583\) | 14.1608 | + | 24.5272i | 0.586480 | + | 1.01581i | ||||
\(584\) | −7.61849 | −0.315255 | ||||||||
\(585\) | 3.26089 | + | 7.06445i | 0.134821 | + | 0.292079i | ||||
\(586\) | 37.0689 | 1.53130 | ||||||||
\(587\) | 11.9299 | + | 20.6631i | 0.492398 | + | 0.852859i | 0.999962 | − | 0.00875568i | \(-0.00278706\pi\) |
−0.507563 | + | 0.861614i | \(0.669454\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.71780 | − | 8.17147i | 0.194394 | − | 0.336699i | ||||
\(590\) | 8.70009 | − | 15.0690i | 0.358177 | − | 0.620381i | ||||
\(591\) | −28.3946 | − | 1.29494i | −1.16800 | − | 0.0532667i | ||||
\(592\) | −3.85301 | − | 6.67361i | −0.158358 | − | 0.274284i | ||||
\(593\) | −19.5801 | −0.804060 | −0.402030 | − | 0.915626i | \(-0.631695\pi\) | ||||
−0.402030 | + | 0.915626i | \(0.631695\pi\) | |||||||
\(594\) | 35.4035 | − | 45.5868i | 1.45262 | − | 1.87045i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 27.4538 | + | 47.5514i | 1.12455 | + | 1.94778i | ||||
\(597\) | −39.2871 | − | 1.79169i | −1.60792 | − | 0.0733291i | ||||
\(598\) | 0.336285 | − | 0.582462i | 0.0137517 | − | 0.0238187i | ||||
\(599\) | −9.27335 | + | 16.0619i | −0.378899 | + | 0.656272i | −0.990902 | − | 0.134583i | \(-0.957030\pi\) |
0.612004 | + | 0.790855i | \(0.290364\pi\) | |||||||
\(600\) | 6.95331 | + | 13.4207i | 0.283868 | + | 0.547897i | ||||
\(601\) | −9.09931 | − | 15.7605i | −0.371169 | − | 0.642883i | 0.618577 | − | 0.785724i | \(-0.287710\pi\) |
−0.989746 | + | 0.142841i | \(0.954376\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 27.3676 | − | 38.7640i | 1.11449 | − | 1.57859i | ||||
\(604\) | 40.2498 | 1.63774 | ||||||||
\(605\) | −12.1659 | − | 21.0719i | −0.494612 | − | 0.856693i | ||||
\(606\) | 8.45165 | − | 13.2098i | 0.343325 | − | 0.536612i | ||||
\(607\) | −11.1549 | + | 19.3208i | −0.452762 | + | 0.784206i | −0.998556 | − | 0.0537125i | \(-0.982895\pi\) |
0.545795 | + | 0.837919i | \(0.316228\pi\) | |||||||
\(608\) | 1.09358 | − | 1.89413i | 0.0443505 | − | 0.0768173i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.25370 | + | 12.5638i | 0.293694 | + | 0.508692i | ||||
\(611\) | −12.1623 | −0.492032 | ||||||||
\(612\) | −6.63521 | + | 9.39823i | −0.268212 | + | 0.379901i | ||||
\(613\) | 10.2370 | 0.413467 | 0.206734 | − | 0.978397i | \(-0.433717\pi\) | ||||
0.206734 | + | 0.978397i | \(0.433717\pi\) | |||||||
\(614\) | 33.5495 | + | 58.1094i | 1.35395 | + | 2.34511i | ||||
\(615\) | −13.2391 | − | 25.5530i | −0.533852 | − | 1.03040i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 5.66372 | − | 9.80984i | 0.228013 | − | 0.394929i | −0.729206 | − | 0.684294i | \(-0.760111\pi\) |
0.957219 | + | 0.289364i | \(0.0934439\pi\) | |||||||
\(618\) | −41.4092 | − | 1.88847i | −1.66572 | − | 0.0759654i | ||||
\(619\) | 4.31663 | + | 7.47663i | 0.173500 | + | 0.300511i | 0.939641 | − | 0.342161i | \(-0.111159\pi\) |
−0.766141 | + | 0.642672i | \(0.777826\pi\) | |||||||
\(620\) | −24.4720 | −0.982818 | ||||||||
\(621\) | 0.871198 | − | 1.12179i | 0.0349600 | − | 0.0450157i | ||||
\(622\) | −39.3245 | −1.57677 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −7.48755 | − | 0.341470i | −0.299742 | − | 0.0136697i | ||||
\(625\) | 15.3260 | − | 26.5454i | 0.613039 | − | 1.06181i | ||||
\(626\) | −14.2683 | + | 24.7134i | −0.570275 | + | 0.987746i | ||||
\(627\) | −14.5833 | − | 28.1474i | −0.582399 | − | 1.12410i | ||||
\(628\) | 12.2719 | + | 21.2555i | 0.489701 | + | 0.848188i | ||||
\(629\) | 1.68443 | 0.0671626 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.8535 | −0.591308 | −0.295654 | − | 0.955295i | \(-0.595538\pi\) | ||||
−0.295654 | + | 0.955295i | \(0.595538\pi\) | |||||||
\(632\) | 37.1701 | + | 64.3805i | 1.47855 | + | 2.56092i | ||||
\(633\) | −4.25797 | + | 6.65514i | −0.169239 | + | 0.264518i | ||||
\(634\) | −2.48229 | + | 4.29945i | −0.0985844 | + | 0.170753i | ||||
\(635\) | −0.872181 | + | 1.51066i | −0.0346115 | + | 0.0599488i | ||||
\(636\) | 23.7405 | − | 37.1060i | 0.941370 | − | 1.47135i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −27.3317 | −1.08207 | ||||||||
\(639\) | 9.77928 | + | 0.893828i | 0.386862 | + | 0.0353593i | ||||
\(640\) | 49.5586 | 1.95897 | ||||||||
\(641\) | 17.0797 | + | 29.5828i | 0.674606 | + | 1.16845i | 0.976584 | + | 0.215137i | \(0.0690199\pi\) |
−0.301978 | + | 0.953315i | \(0.597647\pi\) | |||||||
\(642\) | −2.69436 | − | 5.20042i | −0.106338 | − | 0.205244i | ||||
\(643\) | −5.41741 | + | 9.38323i | −0.213642 | + | 0.370039i | −0.952852 | − | 0.303437i | \(-0.901866\pi\) |
0.739210 | + | 0.673475i | \(0.235199\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −46.8302 | − | 2.13570i | −1.84394 | − | 0.0840929i | ||||
\(646\) | 4.71780 | + | 8.17147i | 0.185619 | + | 0.321502i | ||||
\(647\) | −32.9692 | −1.29615 | −0.648077 | − | 0.761575i | \(-0.724427\pi\) | ||||
−0.648077 | + | 0.761575i | \(0.724427\pi\) | |||||||
\(648\) | −44.7331 | − | 8.24611i | −1.75728 | − | 0.323938i | ||||
\(649\) | 12.3097 | 0.483199 | ||||||||
\(650\) | −2.12422 | − | 3.67926i | −0.0833188 | − | 0.144312i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −36.1160 | + | 62.5548i | −1.41441 | + | 2.44984i | ||||
\(653\) | 1.96557 | − | 3.40446i | 0.0769185 | − | 0.133227i | −0.825000 | − | 0.565132i | \(-0.808825\pi\) |
0.901919 | + | 0.431905i | \(0.142159\pi\) | |||||||
\(654\) | −6.66419 | − | 12.8627i | −0.260591 | − | 0.502970i | ||||
\(655\) | 10.2626 | + | 17.7753i | 0.400991 | + | 0.694537i | ||||
\(656\) | 27.7233 | 1.08241 | ||||||||
\(657\) | 4.50340 | + | 0.411612i | 0.175695 | + | 0.0160585i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −8.40856 | − | 14.5640i | −0.327551 | − | 0.567335i | 0.654474 | − | 0.756084i | \(-0.272890\pi\) |
−0.982025 | + | 0.188749i | \(0.939557\pi\) | |||||||
\(660\) | −44.3106 | + | 69.2568i | −1.72479 | + | 2.69582i | ||||
\(661\) | −8.51080 | + | 14.7411i | −0.331032 | + | 0.573364i | −0.982714 | − | 0.185128i | \(-0.940730\pi\) |
0.651683 | + | 0.758492i | \(0.274063\pi\) | |||||||
\(662\) | −24.2470 | + | 41.9970i | −0.942386 | + | 1.63226i | ||||
\(663\) | 0.882977 | − | 1.38008i | 0.0342920 | − | 0.0535979i | ||||
\(664\) | 2.39037 | + | 4.14024i | 0.0927643 | + | 0.160672i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 5.50885 | + | 11.9345i | 0.213464 | + | 0.462451i | ||||
\(667\) | −0.672570 | −0.0260420 | ||||||||
\(668\) | −17.1644 | − | 29.7296i | −0.664110 | − | 1.15027i | ||||
\(669\) | 10.6168 | + | 20.4917i | 0.410470 | + | 0.792255i | ||||
\(670\) | −50.4686 | + | 87.4141i | −1.94977 | + | 3.37710i | ||||
\(671\) | −5.13161 | + | 8.88821i | −0.198104 | + | 0.343126i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −14.3727 | − | 24.8942i | −0.554025 | − | 0.959600i | −0.997979 | − | 0.0635501i | \(-0.979758\pi\) |
0.443953 | − | 0.896050i | \(-0.353576\pi\) | |||||||
\(674\) | 71.4805 | 2.75333 | ||||||||
\(675\) | −3.38511 | − | 8.30885i | −0.130293 | − | 0.319808i | ||||
\(676\) | −48.6490 | −1.87112 | ||||||||
\(677\) | −3.01819 | − | 5.22765i | −0.115998 | − | 0.200915i | 0.802180 | − | 0.597082i | \(-0.203673\pi\) |
−0.918178 | + | 0.396167i | \(0.870340\pi\) | |||||||
\(678\) | −44.2278 | − | 2.01701i | −1.69856 | − | 0.0774628i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 6.19961 | − | 10.7380i | 0.237744 | − | 0.411785i | ||||
\(681\) | 1.10078 | + | 2.12463i | 0.0421818 | + | 0.0814159i | ||||
\(682\) | −12.9267 | − | 22.3898i | −0.494991 | − | 0.857349i | ||||
\(683\) | 20.5113 | 0.784842 | 0.392421 | − | 0.919786i | \(-0.371638\pi\) | ||||
0.392421 | + | 0.919786i | \(0.371638\pi\) | |||||||
\(684\) | −28.4377 | + | 40.2797i | −1.08734 | + | 1.54013i | ||||
\(685\) | −9.52510 | −0.363935 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −16.7831 | + | 26.2317i | −0.640314 | + | 1.00080i | ||||
\(688\) | 22.5797 | − | 39.1091i | 0.860842 | − | 1.49102i | ||||
\(689\) | −3.13667 | + | 5.43288i | −0.119498 | + | 0.206976i | ||||
\(690\) | −1.62830 | + | 2.54500i | −0.0619882 | + | 0.0968867i | ||||
\(691\) | −7.50146 | − | 12.9929i | −0.285369 | − | 0.494274i | 0.687330 | − | 0.726346i | \(-0.258783\pi\) |
−0.972699 | + | 0.232072i | \(0.925450\pi\) | |||||||
\(692\) | −70.3652 | −2.67488 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −71.5595 | −2.71636 | ||||||||
\(695\) | −2.66372 | − | 4.61369i | −0.101040 | − | 0.175007i | ||||
\(696\) | 9.90856 | + | 19.1247i | 0.375583 | + | 0.724919i | ||||
\(697\) | −3.02997 | + | 5.24806i | −0.114768 | + | 0.198784i | ||||
\(698\) | −30.4648 | + | 52.7665i | −1.15311 | + | 1.99724i | ||||
\(699\) | −32.8442 | − | 1.49786i | −1.24228 | − | 0.0566542i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 38.5113 | 1.45455 | 0.727275 | − | 0.686346i | \(-0.240786\pi\) | ||||
0.727275 | + | 0.686346i | \(0.240786\pi\) | |||||||
\(702\) | 12.6659 | + | 1.74255i | 0.478042 | + | 0.0657684i | ||||
\(703\) | 7.21926 | 0.272280 | ||||||||
\(704\) | 16.5402 | + | 28.6484i | 0.623381 | + | 1.07973i | ||||
\(705\) | 54.5787 | + | 2.48906i | 2.05555 | + | 0.0937435i | ||||
\(706\) | 40.9705 | − | 70.9630i | 1.54195 | − | 2.67073i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −8.80778 | − | 17.0000i | −0.331017 | − | 0.638901i | ||||
\(709\) | −3.82004 | − | 6.61650i | −0.143465 | − | 0.248488i | 0.785334 | − | 0.619072i | \(-0.212491\pi\) |
−0.928799 | + | 0.370584i | \(0.879158\pi\) | |||||||
\(710\) | −20.8889 | −0.783947 | ||||||||
\(711\) | −18.4935 | − | 40.0646i | −0.693560 | − | 1.50254i | ||||
\(712\) | −72.5595 | −2.71928 | ||||||||
\(713\) | −0.318097 | − | 0.550960i | −0.0119128 | − | 0.0206336i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.85447 | − | 10.1402i | 0.218945 | − | 0.379224i | ||||
\(716\) | 23.0057 | − | 39.8471i | 0.859765 | − | 1.48916i | ||||
\(717\) | −4.56634 | + | 7.13713i | −0.170533 | + | 0.266541i | ||||
\(718\) | 31.4164 | + | 54.4148i | 1.17245 | + | 2.03074i | ||||
\(719\) | 30.0364 | 1.12017 | 0.560084 | − | 0.828436i | \(-0.310769\pi\) | ||||
0.560084 | + | 0.828436i | \(0.310769\pi\) | |||||||
\(720\) | 33.5308 | + | 3.06472i | 1.24962 | + | 0.114216i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −3.15486 | − | 5.46438i | −0.117412 | − | 0.203363i | ||||
\(723\) | −20.8435 | − | 40.2303i | −0.775177 | − | 1.49618i | ||||
\(724\) | 44.3697 | − | 76.8506i | 1.64899 | − | 2.85613i | ||||
\(725\) | −2.12422 | + | 3.67926i | −0.0788916 | + | 0.136644i | ||||
\(726\) | −39.9399 | − | 1.82146i | −1.48231 | − | 0.0676007i | ||||
\(727\) | 1.72812 | + | 2.99319i | 0.0640923 | + | 0.111011i | 0.896291 | − | 0.443466i | \(-0.146251\pi\) |
−0.832199 | + | 0.554478i | \(0.812918\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 25.9969 | + | 7.29124i | 0.962847 | + | 0.270046i | ||||
\(730\) | −9.61944 | −0.356032 | ||||||||
\(731\) | 4.93560 | + | 8.54871i | 0.182550 | + | 0.316185i | ||||
\(732\) | 15.9466 | + | 0.727245i | 0.589403 | + | 0.0268797i | ||||
\(733\) | 19.2630 | − | 33.3645i | 0.711496 | − | 1.23235i | −0.252799 | − | 0.967519i | \(-0.581351\pi\) |
0.964295 | − | 0.264829i | \(-0.0853155\pi\) | |||||||
\(734\) | −33.7709 | + | 58.4929i | −1.24651 | + | 2.15901i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.0737345 | − | 0.127712i | −0.00271789 | − | 0.00470752i | ||||
\(737\) | −71.4078 | −2.63034 | ||||||||
\(738\) | −47.0928 | − | 4.30429i | −1.73351 | − | 0.158443i | ||||
\(739\) | 45.1239 | 1.65991 | 0.829955 | − | 0.557830i | \(-0.188366\pi\) | ||||
0.829955 | + | 0.557830i | \(0.188366\pi\) | |||||||
\(740\) | −9.36186 | − | 16.2152i | −0.344149 | − | 0.596084i | ||||
\(741\) | 3.78434 | − | 5.91486i | 0.139021 | − | 0.217288i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −4.74338 | + | 8.21577i | −0.174018 | + | 0.301407i | −0.939821 | − | 0.341668i | \(-0.889008\pi\) |
0.765803 | + | 0.643075i | \(0.222342\pi\) | |||||||
\(744\) | −10.9803 | + | 17.1621i | −0.402559 | + | 0.629194i | ||||
\(745\) | 17.5634 | + | 30.4207i | 0.643474 | + | 1.11453i | ||||
\(746\) | −40.1737 | −1.47086 | ||||||||
\(747\) | −1.18929 | − | 2.57651i | −0.0435140 | − | 0.0942695i | ||||
\(748\) | 17.3126 | 0.633013 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −16.6441 | − | 32.1250i | −0.607755 | − | 1.17304i | ||||
\(751\) | 4.91595 | − | 8.51467i | 0.179386 | − | 0.310705i | −0.762285 | − | 0.647242i | \(-0.775922\pi\) |
0.941670 | + | 0.336537i | \(0.109256\pi\) | |||||||
\(752\) | −26.3157 | + | 45.5800i | −0.959633 | + | 1.66213i | ||||
\(753\) | −31.9363 | − | 1.45646i | −1.16382 | − | 0.0530762i | ||||
\(754\) | −3.02704 | − | 5.24299i | −0.110238 | − | 0.190938i | ||||
\(755\) | 25.7496 | 0.937124 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.8171 | −1.51987 | −0.759934 | − | 0.650000i | \(-0.774769\pi\) | ||||
−0.759934 | + | 0.650000i | \(0.774769\pi\) | |||||||
\(758\) | 14.8078 | + | 25.6478i | 0.537843 | + | 0.931571i | ||||
\(759\) | −2.13521 | − | 0.0973764i | −0.0775032 | − | 0.00353454i | ||||
\(760\) | 26.5708 | − | 46.0220i | 0.963825 | − | 1.66939i | ||||
\(761\) | 11.4897 | − | 19.9007i | 0.416501 | − | 0.721400i | −0.579084 | − | 0.815268i | \(-0.696590\pi\) |
0.995585 | + | 0.0938675i | \(0.0299230\pi\) | |||||||
\(762\) | 1.31858 | + | 2.54500i | 0.0477670 | + | 0.0921958i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −2.84494 | −0.102926 | ||||||||
\(765\) | −4.24484 | + | 6.01247i | −0.153473 | + | 0.217381i | ||||
\(766\) | −30.5979 | −1.10555 | ||||||||
\(767\) | 1.36333 | + | 2.36135i | 0.0492269 | + | 0.0852635i | ||||
\(768\) | 30.2077 | − | 47.2142i | 1.09003 | − | 1.70369i | ||||
\(769\) | 3.04329 | − | 5.27113i | 0.109744 | − | 0.190082i | −0.805923 | − | 0.592021i | \(-0.798330\pi\) |
0.915666 | + | 0.401939i | \(0.131664\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.9531 | + | 17.1196i | −0.394467 | + | 0.616546i | ||||
\(772\) | −24.6175 | − | 42.6388i | −0.886003 | − | 1.53460i | ||||
\(773\) | 41.8214 | 1.50421 | 0.752105 | − | 0.659043i | \(-0.229038\pi\) | ||||
0.752105 | + | 0.659043i | \(0.229038\pi\) | |||||||
\(774\) | −44.4274 | + | 62.9278i | −1.59691 | + | 2.26189i | ||||
\(775\) | −4.01867 | −0.144355 | ||||||||
\(776\) | 29.0349 | + | 50.2899i | 1.04229 | + | 1.80530i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 25.3442 | − | 43.8974i | 0.908632 | − | 1.57380i | ||||
\(779\) | −12.9861 | + | 22.4926i | −0.465275 | + | 0.805880i | ||||
\(780\) | −18.1929 | − | 0.829688i | −0.651410 | − | 0.0297076i | ||||
\(781\) | −7.38891 | − | 12.7980i | −0.264396 | − | 0.457947i | ||||
\(782\) | 0.636194 | 0.0227503 | ||||||||
\(783\) | −4.82383 | − | 11.8402i | −0.172390 | − | 0.423135i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.85087 | + | 13.5981i | 0.280210 | + | 0.485337i | ||||
\(786\) | 33.6914 | + | 1.53650i | 1.20173 | + | 0.0548051i | ||||
\(787\) | 16.1460 | − | 27.9657i | 0.575543 | − | 0.996870i | −0.420439 | − | 0.907321i | \(-0.638124\pi\) |
0.995982 | − | 0.0895491i | \(-0.0285426\pi\) | |||||||
\(788\) | 33.2652 | − | 57.6170i | 1.18502 | − | 2.05252i | ||||
\(789\) | 5.99328 | + | 11.5677i | 0.213366 | + | 0.411822i | ||||
\(790\) | 46.9327 | + | 81.2898i | 1.66979 | + | 2.89216i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 28.6878 | + | 62.1498i | 1.01938 | + | 2.20840i | ||||
\(793\) | −2.27335 | −0.0807289 | ||||||||
\(794\) | 29.0797 | + | 50.3675i | 1.03200 | + | 1.78747i | ||||
\(795\) | 15.1878 | − | 23.7384i | 0.538657 | − | 0.841913i | ||||
\(796\) | 46.0261 | − | 79.7195i | 1.63135 | − | 2.82558i | ||||
\(797\) | 23.2829 | − | 40.3271i | 0.824722 | − | 1.42846i | −0.0774101 | − | 0.996999i | \(-0.524665\pi\) |
0.902132 | − | 0.431461i | \(-0.142002\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.75223 | − | 9.96316i | −0.203499 | − | 0.352471i | ||||
\(800\) | −0.931521 | −0.0329343 | ||||||||
\(801\) | 42.8910 | + | 3.92025i | 1.51548 | + | 0.138515i | ||||
\(802\) | 6.30972 | 0.222804 | ||||||||
\(803\) | −3.40263 | − | 5.89352i | −0.120076 | − | 0.207978i | ||||
\(804\) | 51.0933 | + | 98.6159i | 1.80192 | + | 3.47792i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.86333 | − | 4.95943i | 0.100856 | − | 0.174688i | ||||
\(807\) | 32.5890 | + | 1.48622i | 1.14719 | + | 0.0523175i | ||||
\(808\) | 9.29893 | + | 16.1062i | 0.327135 | + | 0.566615i | ||||
\(809\) | −10.8023 | −0.379790 | −0.189895 | − | 0.981804i | \(-0.560815\pi\) | ||||
−0.189895 | + | 0.981804i | \(0.560815\pi\) | |||||||
\(810\) | −56.4820 | − | 10.4119i | −1.98457 | − | 0.365837i | ||||
\(811\) | −5.58307 | −0.196048 | −0.0980240 | − | 0.995184i | \(-0.531252\pi\) | ||||
−0.0980240 | + | 0.995184i | \(0.531252\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 41.4954 | + | 1.89240i | 1.45531 | + | 0.0663694i | ||||
\(814\) | 9.89037 | − | 17.1306i | 0.346657 | − | 0.600428i | ||||
\(815\) | −23.1050 | + | 40.0191i | −0.809335 | + | 1.40181i | ||||
\(816\) | −3.26157 | − | 6.29520i | −0.114178 | − | 0.220376i | ||||
\(817\) | 21.1534 | + | 36.6388i | 0.740064 | + | 1.28183i | ||||
\(818\) | −84.4556 | −2.95292 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 67.3609 | 2.35234 | ||||||||
\(821\) | 15.8940 | + | 27.5292i | 0.554703 | + | 0.960774i | 0.997927 | + | 0.0643630i | \(0.0205016\pi\) |
−0.443223 | + | 0.896411i | \(0.646165\pi\) | |||||||
\(822\) | −8.43512 | + | 13.1840i | −0.294209 | + | 0.459844i | ||||
\(823\) | 18.0000 | − | 31.1769i | 0.627441 | − | 1.08676i | −0.360623 | − | 0.932712i | \(-0.617436\pi\) |
0.988063 | − | 0.154047i | \(-0.0492308\pi\) | |||||||
\(824\) | 24.5797 | − | 42.5732i | 0.856273 | − | 1.48311i | ||||
\(825\) | −7.27647 | + | 11.3730i | −0.253334 | + | 0.395957i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.9224 | 0.553675 | 0.276837 | − | 0.960917i | \(-0.410714\pi\) | ||||
0.276837 | + | 0.960917i | \(0.410714\pi\) | |||||||
\(828\) | 1.39329 | + | 3.01845i | 0.0484203 | + | 0.104899i | ||||
\(829\) | −35.4720 | −1.23199 | −0.615996 | − | 0.787749i | \(-0.711246\pi\) | ||||
−0.615996 | + | 0.787749i | \(0.711246\pi\) | |||||||
\(830\) | 3.01819 | + | 5.22765i | 0.104763 | + | 0.181455i | ||||
\(831\) | −5.70681 | − | 11.0148i | −0.197967 | − | 0.382099i | ||||
\(832\) | −3.66372 | + | 6.34574i | −0.127016 | + | 0.219999i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −8.74484 | − | 0.398809i | −0.302809 | − | 0.0138096i | ||||
\(835\) | −10.9808 | − | 19.0194i | −0.380007 | − | 0.658192i | ||||
\(836\) | 74.2000 | 2.56626 | ||||||||
\(837\) | 7.41789 | − | 9.55155i | 0.256400 | − | 0.330150i | ||||
\(838\) | 9.98229 | 0.344833 | ||||||||
\(839\) | −27.3391 | − | 47.3527i | −0.943850 | − | 1.63480i | −0.758037 | − | 0.652212i | \(-0.773841\pi\) |
−0.185814 | − | 0.982585i | \(-0.559492\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.4730 | − | 19.8717i | 0.395619 | − | 0.685233i | ||||
\(842\) | −25.9200 | + | 44.8948i | −0.893263 | + | 1.54718i | ||||
\(843\) | −11.8576 | − | 22.8865i | −0.408397 | − | 0.788254i | ||||
\(844\) | −9.24630 | − | 16.0151i | −0.318271 | − | 0.551261i | ||||
\(845\) | −31.1230 | −1.07066 | ||||||||
\(846\) | 51.7783 | − | 73.3397i | 1.78017 | − | 2.52147i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 13.5737 | + | 23.5104i | 0.466124 | + | 0.807350i | ||||
\(849\) | 18.6665 | − | 29.1755i | 0.640633 | − | 1.00130i | ||||
\(850\) | 2.00933 | − | 3.48027i | 0.0689196 | − | 0.119372i | ||||
\(851\) | 0.243379 | − | 0.421545i | 0.00834292 | − | 0.0144504i | ||||
\(852\) | −12.3874 | + | 19.3614i | −0.424387 | + | 0.663310i | ||||
\(853\) | −1.09884 | − | 1.90324i | −0.0376234 | − | 0.0651656i | 0.846601 | − | 0.532229i | \(-0.178645\pi\) |
−0.884224 | + | 0.467063i | \(0.845312\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −18.1929 | + | 25.7687i | −0.622184 | + | 0.881272i | ||||
\(856\) | 6.94592 | 0.237407 | ||||||||
\(857\) | −7.88823 | − | 13.6628i | −0.269457 | − | 0.466713i | 0.699265 | − | 0.714863i | \(-0.253511\pi\) |
−0.968722 | + | 0.248150i | \(0.920178\pi\) | |||||||
\(858\) | −8.85087 | − | 17.0832i | −0.302164 | − | 0.583211i | ||||
\(859\) | 2.78813 | − | 4.82918i | 0.0951298 | − | 0.164770i | −0.814533 | − | 0.580117i | \(-0.803007\pi\) |
0.909663 | + | 0.415348i | \(0.136340\pi\) | |||||||
\(860\) | 54.8630 | − | 95.0255i | 1.87081 | − | 3.24034i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 27.8264 | + | 48.1968i | 0.947773 | + | 1.64159i | ||||
\(863\) | 23.1268 | 0.787247 | 0.393623 | − | 0.919272i | \(-0.371221\pi\) | ||||
0.393623 | + | 0.919272i | \(0.371221\pi\) | |||||||
\(864\) | 1.71946 | − | 2.21404i | 0.0584971 | − | 0.0753230i | ||||
\(865\) | −45.0157 | −1.53058 | ||||||||
\(866\) | −2.97462 | − | 5.15218i | −0.101082 | − | 0.175078i | ||||
\(867\) | −27.8661 | − | 1.27084i | −0.946384 | − | 0.0431599i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −33.2024 | + | 57.5083i | −1.12631 | + | 1.95083i | ||||
\(870\) | 12.5110 | + | 24.1477i | 0.424162 | + | 0.818683i | ||||
\(871\) | −7.90856 | − | 13.6980i | −0.267971 | − | 0.464140i | ||||
\(872\) | 17.1800 | 0.581787 | ||||||||
\(873\) | −14.4459 | − | 31.2959i | −0.488920 | − | 1.05920i | ||||
\(874\) | 2.72665 | 0.0922304 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.70448 | + | 8.91601i | −0.192736 | + | 0.301244i | ||||
\(877\) | −1.96264 | + | 3.39939i | −0.0662737 | + | 0.114789i | −0.897258 | − | 0.441506i | \(-0.854444\pi\) |
0.830985 | + | 0.556295i | \(0.187778\pi\) | |||||||
\(878\) | 28.8982 | − | 50.0532i | 0.975268 | − | 1.68921i | ||||
\(879\) | 14.0631 | − | 21.9805i | 0.474338 | − | 0.741383i | ||||
\(880\) | −25.3348 | − | 43.8812i | −0.854037 | − | 1.47923i | ||||
\(881\) | −27.1986 | −0.916345 | −0.458173 | − | 0.888863i | \(-0.651496\pi\) | ||||
−0.458173 | + | 0.888863i | \(0.651496\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.21341 | 0.276403 | 0.138202 | − | 0.990404i | \(-0.455868\pi\) | ||||
0.138202 | + | 0.990404i | \(0.455868\pi\) | |||||||
\(884\) | 1.91741 | + | 3.32105i | 0.0644895 | + | 0.111699i | ||||
\(885\) | −5.63473 | − | 10.8757i | −0.189409 | − | 0.365582i | ||||
\(886\) | −16.5074 | + | 28.5916i | −0.554577 | + | 0.960555i | ||||
\(887\) | −3.24057 | + | 5.61283i | −0.108808 | + | 0.188460i | −0.915287 | − | 0.402801i | \(-0.868037\pi\) |
0.806480 | + | 0.591262i | \(0.201370\pi\) | |||||||
\(888\) | −15.5723 | − | 0.710174i | −0.522571 | − | 0.0238319i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −91.6169 | −3.07101 | ||||||||
\(891\) | −13.6000 | − | 38.2876i | −0.455617 | − | 1.28268i | ||||
\(892\) | −54.0187 | −1.80868 | ||||||||
\(893\) | −24.6534 | − | 42.7009i | −0.824995 | − | 1.42893i | ||||
\(894\) | 57.6598 | + | 2.62958i | 1.92843 | + | 0.0879463i | ||||
\(895\) | 14.7178 | − | 25.4920i | 0.491962 | − | 0.852103i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.217799 | − | 0.420378i | −0.00727211 | − | 0.0140360i | ||||
\(898\) | −11.2719 | − | 19.5235i | −0.376148 | − | 0.651507i | ||||
\(899\) | −5.72665 | −0.190995 | ||||||||
\(900\) | 20.9128 | + | 1.91144i | 0.697094 | + | 0.0637146i | ||||
\(901\) | −5.93406 | −0.197692 | ||||||||
\(902\) | 35.5818 | + | 61.6295i | 1.18474 | + | 2.05204i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 26.2527 | − | 45.4710i | 0.873152 | − | 1.51234i | ||||
\(905\) | 28.3853 | − | 49.1648i | 0.943560 | − | 1.63429i | ||||
\(906\) | 22.8030 | − | 35.6408i | 0.757579 | − | 1.18408i | ||||
\(907\) | −5.06440 | − | 8.77180i | −0.168161 | − | 0.291263i | 0.769613 | − | 0.638511i | \(-0.220449\pi\) |
−0.937773 | + | 0.347248i | \(0.887116\pi\) | |||||||
\(908\) | −5.60078 | −0.185868 | ||||||||
\(909\) | −4.62655 | − | 10.0230i | −0.153453 | − | 0.332443i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −22.9612 | − | 39.7699i | −0.760738 | − | 1.31764i | −0.942471 | − | 0.334289i | \(-0.891504\pi\) |
0.181733 | − | 0.983348i | \(-0.441829\pi\) | |||||||
\(912\) | −13.9787 | − | 26.9805i | −0.462881 | − | 0.893414i | ||||
\(913\) | −2.13521 | + | 3.69829i | −0.0706652 | + | 0.122396i | ||||
\(914\) | 10.8473 | − | 18.7880i | 0.358796 | − | 0.621453i | ||||
\(915\) | 10.2017 | + | 0.465251i | 0.337259 | + | 0.0153807i | ||||
\(916\) | −36.4449 | − | 63.1245i | −1.20417 | − | 2.08569i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 4.56294 | + | 11.1999i | 0.150599 | + | 0.369650i | ||||
\(919\) | −4.92432 | −0.162438 | −0.0812192 | − | 0.996696i | \(-0.525881\pi\) | ||||
−0.0812192 | + | 0.996696i | \(0.525881\pi\) | |||||||
\(920\) | −1.79153 | − | 3.10303i | −0.0590651 | − | 0.102304i | ||||
\(921\) | 47.1847 | + | 2.15186i | 1.55479 | + | 0.0709062i | ||||
\(922\) | 6.96216 | − | 12.0588i | 0.229287 | − | 0.397136i | ||||
\(923\) | 1.63667 | − | 2.83480i | 0.0538718 | − | 0.0933086i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.53736 | − | 2.66278i | −0.0505481 | − | 0.0875518i | ||||
\(926\) | −38.6955 | −1.27161 | ||||||||
\(927\) | −16.8296 | + | 23.8377i | −0.552755 | + | 0.782933i | ||||
\(928\) | −1.32743 | −0.0435750 | ||||||||
\(929\) | 0.00379324 | + | 0.00657009i | 0.000124452 | + | 0.000215558i | 0.866088 | − | 0.499892i | \(-0.166627\pi\) |
−0.865963 | + | 0.500108i | \(0.833294\pi\) | |||||||
\(930\) | −13.8643 | + | 21.6697i | −0.454628 | + | 0.710577i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 38.4779 | − | 66.6457i | 1.26039 | − | 2.18305i | ||||
\(933\) | −14.9189 | + | 23.3180i | −0.488422 | + | 0.763396i | ||||
\(934\) | 27.0620 | + | 46.8727i | 0.885494 | + | 1.53372i | ||||
\(935\) | 11.0757 | 0.362213 | ||||||||
\(936\) | −8.74484 | + | 12.3863i | −0.285834 | + | 0.404860i | ||||
\(937\) | −21.1623 | −0.691341 | −0.345670 | − | 0.938356i | \(-0.612348\pi\) | ||||
−0.345670 | + | 0.938356i | \(0.612348\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.24105 | + | 17.8363i | 0.301570 | + | 0.582066i | ||||
\(940\) | −63.9405 | + | 110.748i | −2.08551 | + | 3.61221i | ||||
\(941\) | 2.27908 | − | 3.94748i | 0.0742959 | − | 0.128684i | −0.826484 | − | 0.562960i | \(-0.809662\pi\) |
0.900780 | + | 0.434276i | \(0.142996\pi\) | |||||||
\(942\) | 25.7740 | + | 1.17543i | 0.839763 | + | 0.0382974i | ||||
\(943\) | 0.875585 | + | 1.51656i | 0.0285130 | + | 0.0493859i | ||||
\(944\) | 11.7994 | 0.384038 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 115.920 | 3.76890 | ||||||||
\(947\) | −6.86760 | − | 11.8950i | −0.223167 | − | 0.386537i | 0.732601 | − | 0.680658i | \(-0.238306\pi\) |
−0.955768 | + | 0.294122i | \(0.904973\pi\) | |||||||
\(948\) | 103.177 | + | 4.70540i | 3.35104 | + | 0.152824i | ||||
\(949\) | 0.753696 | − | 1.30544i | 0.0244660 | − | 0.0423764i | ||||
\(950\) | 8.61177 | − | 14.9160i | 0.279403 | − | 0.483940i | ||||
\(951\) | 1.60769 | + | 3.10303i | 0.0521329 | + | 0.100623i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 8.80699 | 0.285286 | 0.142643 | − | 0.989774i | \(-0.454440\pi\) | ||||
0.142643 | + | 0.989774i | \(0.454440\pi\) | |||||||
\(954\) | −19.4071 | − | 42.0438i | −0.628328 | − | 1.36122i | ||||
\(955\) | −1.82004 | −0.0588951 | ||||||||
\(956\) | −9.91595 | − | 17.1749i | −0.320705 | − | 0.555477i | ||||
\(957\) | −10.3691 | + | 16.2067i | −0.335184 | + | 0.523888i | ||||
\(958\) | −30.7257 | + | 53.2184i | −0.992701 | + | 1.71941i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 17.7398 | − | 27.7270i | 0.572549 | − | 0.894886i | ||||
\(961\) | 12.7915 | + | 22.1556i | 0.412630 | + | 0.714696i | ||||
\(962\) | 4.38151 | 0.141266 | ||||||||
\(963\) | −4.10584 | − | 0.375274i | −0.132309 | − | 0.0120930i | ||||
\(964\) | 106.052 | 3.41571 | ||||||||
\(965\) | −15.7489 | − | 27.2779i | −0.506976 | − | 0.878108i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.1642 | + | 33.1934i | −0.616279 | + | 1.06743i | 0.373880 | + | 0.927477i | \(0.378027\pi\) |
−0.990159 | + | 0.139949i | \(0.955306\pi\) | |||||||
\(968\) | 23.7075 | − | 41.0626i | 0.761987 | − | 1.31980i | ||||
\(969\) | 6.63521 | + | 0.302599i | 0.213154 | + | 0.00972088i | ||||
\(970\) | 36.6608 | + | 63.4984i | 1.17711 | + | 2.03881i | ||||
\(971\) | 31.0187 | 0.995436 | 0.497718 | − | 0.867339i | \(-0.334171\pi\) | ||||
0.497718 | + | 0.867339i | \(0.334171\pi\) | |||||||
\(972\) | −43.1452 | + | 46.1773i | −1.38388 | + | 1.48114i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −21.6498 | − | 37.4986i | −0.693704 | − | 1.20153i | ||||
\(975\) | −2.98755 | − | 0.136247i | −0.0956781 | − | 0.00436340i | ||||
\(976\) | −4.91887 | + | 8.51974i | −0.157449 | + | 0.272710i | ||||
\(977\) | 26.3712 | − | 45.6763i | 0.843689 | − | 1.46131i | −0.0430652 | − | 0.999072i | \(-0.513712\pi\) |
0.886755 | − | 0.462241i | \(-0.152954\pi\) | |||||||
\(978\) | 34.9305 | + | 67.4200i | 1.11696 | + | 2.15585i | ||||
\(979\) | −32.4071 | − | 56.1307i | −1.03574 | − | 1.79395i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.1553 | − | 0.928200i | −0.324235 | − | 0.0296351i | ||||
\(982\) | −33.9430 | −1.08316 | ||||||||
\(983\) | −9.15146 | − | 15.8508i | −0.291886 | − | 0.505562i | 0.682370 | − | 0.731007i | \(-0.260950\pi\) |
−0.974256 | + | 0.225446i | \(0.927616\pi\) | |||||||
\(984\) | 30.2242 | − | 47.2400i | 0.963513 | − | 1.50596i | ||||
\(985\) | 21.2812 | − | 36.8601i | 0.678076 | − | 1.17446i | ||||
\(986\) | 2.86333 | − | 4.95943i | 0.0911869 | − | 0.157940i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.21780 | + | 14.2336i | 0.261443 | + | 0.452833i | ||||
\(989\) | 2.85253 | 0.0907052 | ||||||||
\(990\) | 36.2226 | + | 78.4731i | 1.15123 | + | 2.49404i | ||||
\(991\) | −12.6008 | −0.400277 | −0.200138 | − | 0.979768i | \(-0.564139\pi\) | ||||
−0.200138 | + | 0.979768i | \(0.564139\pi\) | |||||||
\(992\) | −0.627819 | − | 1.08741i | −0.0199333 | − | 0.0345254i | ||||
\(993\) | 15.7039 | + | 30.3103i | 0.498348 | + | 0.961869i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 29.4449 | − | 51.0001i | 0.933467 | − | 1.61681i | ||||
\(996\) | 6.63521 | + | 0.302599i | 0.210245 | + | 0.00958822i | ||||
\(997\) | 5.87120 | + | 10.1692i | 0.185943 | + | 0.322062i | 0.943894 | − | 0.330249i | \(-0.107133\pi\) |
−0.757951 | + | 0.652311i | \(0.773799\pi\) | |||||||
\(998\) | −32.2019 | −1.01933 | ||||||||
\(999\) | 9.16664 | + | 1.26113i | 0.290020 | + | 0.0399005i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))