Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 568.2 | ||
Root | \(-0.342020 - 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.568 |
Dual form | 729.2.e.o.163.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.62760 | + | 0.592396i | 1.15088 | + | 0.418887i | 0.845833 | − | 0.533449i | \(-0.179104\pi\) |
0.305051 | + | 0.952336i | \(0.401326\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0.300767 | − | 1.70574i | 0.134507 | − | 0.762829i | −0.840694 | − | 0.541510i | \(-0.817853\pi\) |
0.975202 | − | 0.221319i | \(-0.0710361\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.53209 | − | 1.28558i | 0.579075 | − | 0.485902i | −0.305568 | − | 0.952170i | \(-0.598846\pi\) |
0.884643 | + | 0.466268i | \(0.154402\pi\) | |||||||
\(8\) | −0.866025 | − | 1.50000i | −0.306186 | − | 0.530330i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.50000 | − | 2.59808i | 0.474342 | − | 0.821584i | ||||
\(11\) | 0.601535 | + | 3.41147i | 0.181370 | + | 1.02860i | 0.930532 | + | 0.366211i | \(0.119345\pi\) |
−0.749162 | + | 0.662387i | \(0.769544\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.939693 | − | 0.342020i | 0.260624 | − | 0.0948593i | −0.208404 | − | 0.978043i | \(-0.566827\pi\) |
0.469027 | + | 0.883184i | \(0.344605\pi\) | |||||||
\(14\) | 3.25519 | − | 1.18479i | 0.869986 | − | 0.316649i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.868241 | − | 4.92404i | −0.217060 | − | 1.23101i | ||||
\(17\) | 2.59808 | − | 4.50000i | 0.630126 | − | 1.09141i | −0.357400 | − | 0.933952i | \(-0.616337\pi\) |
0.987526 | − | 0.157459i | \(-0.0503301\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.00000 | − | 1.73205i | −0.229416 | − | 0.397360i | 0.728219 | − | 0.685344i | \(-0.240348\pi\) |
−0.957635 | + | 0.287984i | \(0.907015\pi\) | |||||||
\(20\) | 1.32683 | − | 1.11334i | 0.296688 | − | 0.248951i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.04189 | + | 5.90885i | −0.222131 | + | 1.25977i | ||||
\(23\) | −2.65366 | − | 2.22668i | −0.553325 | − | 0.464295i | 0.322740 | − | 0.946488i | \(-0.395396\pi\) |
−0.876065 | + | 0.482193i | \(0.839841\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.87939 | + | 0.684040i | 0.375877 | + | 0.136808i | ||||
\(26\) | 1.73205 | 0.339683 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.00000 | 0.377964 | ||||||||
\(29\) | 1.62760 | + | 0.592396i | 0.302237 | + | 0.110005i | 0.488687 | − | 0.872459i | \(-0.337476\pi\) |
−0.186450 | + | 0.982464i | \(0.559698\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.12836 | + | 5.14230i | 1.10069 | + | 0.923585i | 0.997471 | − | 0.0710747i | \(-0.0226429\pi\) |
0.103214 | + | 0.994659i | \(0.467087\pi\) | |||||||
\(32\) | 0.902302 | − | 5.11721i | 0.159506 | − | 0.904604i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.89440 | − | 5.78509i | 1.18238 | − | 0.992134i | ||||
\(35\) | −1.73205 | − | 3.00000i | −0.292770 | − | 0.507093i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.50000 | − | 6.06218i | 0.575396 | − | 0.996616i | −0.420602 | − | 0.907245i | \(-0.638181\pi\) |
0.995998 | − | 0.0893706i | \(-0.0284856\pi\) | |||||||
\(38\) | −0.601535 | − | 3.41147i | −0.0975819 | − | 0.553414i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.81908 | + | 1.02606i | −0.445735 | + | 0.162234i | ||||
\(41\) | −6.51038 | + | 2.36959i | −1.01675 | + | 0.370067i | −0.796022 | − | 0.605268i | \(-0.793066\pi\) |
−0.220729 | + | 0.975335i | \(0.570844\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.347296 | + | 1.96962i | 0.0529622 | + | 0.300364i | 0.999770 | − | 0.0214354i | \(-0.00682361\pi\) |
−0.946808 | + | 0.321799i | \(0.895712\pi\) | |||||||
\(44\) | −1.73205 | + | 3.00000i | −0.261116 | + | 0.452267i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.00000 | − | 5.19615i | −0.442326 | − | 0.766131i | ||||
\(47\) | −5.30731 | + | 4.45336i | −0.774151 | + | 0.649590i | −0.941768 | − | 0.336262i | \(-0.890837\pi\) |
0.167617 | + | 0.985852i | \(0.446393\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.520945 | + | 2.95442i | −0.0744206 | + | 0.422060i | ||||
\(50\) | 2.65366 | + | 2.22668i | 0.375284 | + | 0.314900i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.939693 | + | 0.342020i | 0.130312 | + | 0.0474297i | ||||
\(53\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.00000 | 0.809040 | ||||||||
\(56\) | −3.25519 | − | 1.18479i | −0.434993 | − | 0.158325i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.29813 | + | 1.92836i | 0.301760 | + | 0.253206i | ||||
\(59\) | −2.40614 | + | 13.6459i | −0.313253 | + | 1.77654i | 0.268602 | + | 0.963251i | \(0.413438\pi\) |
−0.581854 | + | 0.813293i | \(0.697673\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.36231 | + | 4.49951i | −0.686574 | + | 0.576104i | −0.917919 | − | 0.396768i | \(-0.870132\pi\) |
0.231345 | + | 0.972872i | \(0.425687\pi\) | |||||||
\(62\) | 6.92820 | + | 12.0000i | 0.879883 | + | 1.52400i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.300767 | − | 1.70574i | −0.0373056 | − | 0.211571i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.39693 | − | 3.42020i | 1.14802 | − | 0.417844i | 0.303215 | − | 0.952922i | \(-0.401940\pi\) |
0.844803 | + | 0.535078i | \(0.179718\pi\) | |||||||
\(68\) | 4.88279 | − | 1.77719i | 0.592125 | − | 0.215516i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.04189 | − | 5.90885i | −0.124530 | − | 0.706242i | ||||
\(71\) | −5.19615 | + | 9.00000i | −0.616670 | + | 1.06810i | 0.373419 | + | 0.927663i | \(0.378185\pi\) |
−0.990089 | + | 0.140441i | \(0.955148\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.50000 | + | 6.06218i | 0.409644 | + | 0.709524i | 0.994850 | − | 0.101361i | \(-0.0323196\pi\) |
−0.585206 | + | 0.810885i | \(0.698986\pi\) | |||||||
\(74\) | 9.28780 | − | 7.79339i | 1.07968 | − | 0.905963i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.347296 | − | 1.96962i | 0.0398376 | − | 0.225930i | ||||
\(77\) | 5.30731 | + | 4.45336i | 0.604824 | + | 0.507508i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.87939 | − | 0.684040i | −0.211447 | − | 0.0769605i | 0.234125 | − | 0.972207i | \(-0.424778\pi\) |
−0.445572 | + | 0.895246i | \(0.647000\pi\) | |||||||
\(80\) | −8.66025 | −0.968246 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.0000 | −1.32518 | ||||||||
\(83\) | −13.0208 | − | 4.73917i | −1.42921 | − | 0.520192i | −0.492508 | − | 0.870308i | \(-0.663920\pi\) |
−0.936706 | + | 0.350116i | \(0.886142\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.89440 | − | 5.78509i | −0.747803 | − | 0.627481i | ||||
\(86\) | −0.601535 | + | 3.41147i | −0.0648652 | + | 0.367869i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.59627 | − | 3.85673i | 0.489964 | − | 0.411128i | ||||
\(89\) | −2.59808 | − | 4.50000i | −0.275396 | − | 0.476999i | 0.694839 | − | 0.719165i | \(-0.255475\pi\) |
−0.970235 | + | 0.242166i | \(0.922142\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.00000 | − | 1.73205i | 0.104828 | − | 0.181568i | ||||
\(92\) | −0.601535 | − | 3.41147i | −0.0627144 | − | 0.355671i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −11.2763 | + | 4.10424i | −1.16306 | + | 0.423320i | ||||
\(95\) | −3.25519 | + | 1.18479i | −0.333976 | + | 0.121557i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.347296 | + | 1.96962i | 0.0352626 | + | 0.199984i | 0.997350 | − | 0.0727587i | \(-0.0231803\pi\) |
−0.962087 | + | 0.272743i | \(0.912069\pi\) | |||||||
\(98\) | −2.59808 | + | 4.50000i | −0.262445 | + | 0.454569i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.00000 | + | 1.73205i | 0.100000 | + | 0.173205i | ||||
\(101\) | −5.30731 | + | 4.45336i | −0.528097 | + | 0.443126i | −0.867444 | − | 0.497535i | \(-0.834239\pi\) |
0.339347 | + | 0.940661i | \(0.389794\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.38919 | − | 7.87846i | 0.136881 | − | 0.776288i | −0.836651 | − | 0.547736i | \(-0.815490\pi\) |
0.973532 | − | 0.228552i | \(-0.0733991\pi\) | |||||||
\(104\) | −1.32683 | − | 1.11334i | −0.130106 | − | 0.109172i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.0000 | 1.05361 | 0.526804 | − | 0.849987i | \(-0.323390\pi\) | ||||
0.526804 | + | 0.849987i | \(0.323390\pi\) | |||||||
\(110\) | 9.76557 | + | 3.55438i | 0.931111 | + | 0.338897i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −7.66044 | − | 6.42788i | −0.723844 | − | 0.607377i | ||||
\(113\) | 0.300767 | − | 1.70574i | 0.0282938 | − | 0.160462i | −0.967387 | − | 0.253302i | \(-0.918483\pi\) |
0.995681 | + | 0.0928398i | \(0.0295945\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.59627 | + | 3.85673i | −0.428604 | + | 0.359642i | ||||
\(116\) | 0.866025 | + | 1.50000i | 0.0804084 | + | 0.139272i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.0000 | + | 20.7846i | −1.10469 | + | 1.91338i | ||||
\(119\) | −1.80460 | − | 10.2344i | −0.165428 | − | 0.938188i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.939693 | + | 0.342020i | −0.0854266 | + | 0.0310927i | ||||
\(122\) | −11.3932 | + | 4.14677i | −1.03149 | + | 0.375431i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.38919 | + | 7.87846i | 0.124753 | + | 0.707507i | ||||
\(125\) | 6.06218 | − | 10.5000i | 0.542218 | − | 0.939149i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.00000 | − | 1.73205i | −0.0887357 | − | 0.153695i | 0.818241 | − | 0.574875i | \(-0.194949\pi\) |
−0.906977 | + | 0.421180i | \(0.861616\pi\) | |||||||
\(128\) | −9.28780 | + | 7.79339i | −0.820933 | + | 0.688844i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.520945 | − | 2.95442i | 0.0456899 | − | 0.259120i | ||||
\(131\) | −2.65366 | − | 2.22668i | −0.231851 | − | 0.194546i | 0.519459 | − | 0.854495i | \(-0.326133\pi\) |
−0.751310 | + | 0.659949i | \(0.770578\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.75877 | − | 1.36808i | −0.325927 | − | 0.118628i | ||||
\(134\) | 17.3205 | 1.49626 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −9.00000 | −0.771744 | ||||||||
\(137\) | 1.62760 | + | 0.592396i | 0.139055 | + | 0.0506118i | 0.410610 | − | 0.911811i | \(-0.365316\pi\) |
−0.271555 | + | 0.962423i | \(0.587538\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.12836 | + | 5.14230i | 0.519800 | + | 0.436164i | 0.864562 | − | 0.502526i | \(-0.167596\pi\) |
−0.344762 | + | 0.938690i | \(0.612040\pi\) | |||||||
\(140\) | 0.601535 | − | 3.41147i | 0.0508390 | − | 0.288322i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −13.7888 | + | 11.5702i | −1.15713 | + | 0.970948i | ||||
\(143\) | 1.73205 | + | 3.00000i | 0.144841 | + | 0.250873i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.50000 | − | 2.59808i | 0.124568 | − | 0.215758i | ||||
\(146\) | 2.10537 | + | 11.9402i | 0.174242 | + | 0.988175i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.57785 | − | 2.39414i | 0.540696 | − | 0.196797i | ||||
\(149\) | 8.13798 | − | 2.96198i | 0.666689 | − | 0.242655i | 0.0135674 | − | 0.999908i | \(-0.495681\pi\) |
0.653122 | + | 0.757253i | \(0.273459\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.47296 | + | 19.6962i | 0.282626 | + | 1.60285i | 0.713645 | + | 0.700508i | \(0.247043\pi\) |
−0.431019 | + | 0.902343i | \(0.641846\pi\) | |||||||
\(152\) | −1.73205 | + | 3.00000i | −0.140488 | + | 0.243332i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.00000 | + | 10.3923i | 0.483494 | + | 0.837436i | ||||
\(155\) | 10.6146 | − | 8.90673i | 0.852587 | − | 0.715405i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.95202 | − | 16.7417i | 0.235597 | − | 1.33614i | −0.605757 | − | 0.795650i | \(-0.707129\pi\) |
0.841353 | − | 0.540486i | \(-0.181759\pi\) | |||||||
\(158\) | −2.65366 | − | 2.22668i | −0.211114 | − | 0.177145i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.45723 | − | 3.07818i | −0.668603 | − | 0.243352i | ||||
\(161\) | −6.92820 | −0.546019 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −16.0000 | −1.25322 | −0.626608 | − | 0.779334i | \(-0.715557\pi\) | ||||
−0.626608 | + | 0.779334i | \(0.715557\pi\) | |||||||
\(164\) | −6.51038 | − | 2.36959i | −0.508375 | − | 0.185034i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −18.3851 | − | 15.4269i | −1.42696 | − | 1.19736i | ||||
\(167\) | 3.00767 | − | 17.0574i | 0.232741 | − | 1.31994i | −0.614579 | − | 0.788856i | \(-0.710674\pi\) |
0.847320 | − | 0.531083i | \(-0.178215\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.19253 | + | 7.71345i | −0.707118 | + | 0.593342i | ||||
\(170\) | −7.79423 | − | 13.5000i | −0.597790 | − | 1.03540i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | + | 1.73205i | −0.0762493 | + | 0.132068i | ||||
\(173\) | 3.30844 | + | 18.7631i | 0.251536 | + | 1.42653i | 0.804810 | + | 0.593533i | \(0.202267\pi\) |
−0.553273 | + | 0.833000i | \(0.686622\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.75877 | − | 1.36808i | 0.284136 | − | 0.103417i | ||||
\(176\) | 16.2760 | − | 5.92396i | 1.22685 | − | 0.446535i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.56283 | − | 8.86327i | −0.117139 | − | 0.664330i | ||||
\(179\) | 10.3923 | − | 18.0000i | 0.776757 | − | 1.34538i | −0.157044 | − | 0.987592i | \(-0.550196\pi\) |
0.933801 | − | 0.357792i | \(-0.116470\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.00000 | − | 1.73205i | −0.0743294 | − | 0.128742i | 0.826465 | − | 0.562988i | \(-0.190348\pi\) |
−0.900794 | + | 0.434246i | \(0.857015\pi\) | |||||||
\(182\) | 2.65366 | − | 2.22668i | 0.196702 | − | 0.165053i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.04189 | + | 5.90885i | −0.0768091 | + | 0.435606i | ||||
\(185\) | −9.28780 | − | 7.79339i | −0.682852 | − | 0.572981i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.9145 | + | 6.15636i | 1.23691 | + | 0.450198i | ||||
\(188\) | −6.92820 | −0.505291 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.00000 | −0.435286 | ||||||||
\(191\) | 16.2760 | + | 5.92396i | 1.17769 | + | 0.428643i | 0.855384 | − | 0.517994i | \(-0.173321\pi\) |
0.322302 | + | 0.946637i | \(0.395543\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.766044 | − | 0.642788i | −0.0551411 | − | 0.0462689i | 0.614801 | − | 0.788683i | \(-0.289236\pi\) |
−0.669942 | + | 0.742414i | \(0.733681\pi\) | |||||||
\(194\) | −0.601535 | + | 3.41147i | −0.0431877 | + | 0.244930i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.29813 | + | 1.92836i | −0.164152 | + | 0.137740i | ||||
\(197\) | −2.59808 | − | 4.50000i | −0.185105 | − | 0.320612i | 0.758507 | − | 0.651665i | \(-0.225929\pi\) |
−0.943612 | + | 0.331053i | \(0.892596\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.0000 | + | 17.3205i | −0.708881 | + | 1.22782i | 0.256391 | + | 0.966573i | \(0.417466\pi\) |
−0.965272 | + | 0.261245i | \(0.915867\pi\) | |||||||
\(200\) | −0.601535 | − | 3.41147i | −0.0425349 | − | 0.241228i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −11.2763 | + | 4.10424i | −0.793399 | + | 0.288773i | ||||
\(203\) | 3.25519 | − | 1.18479i | 0.228470 | − | 0.0831561i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.08378 | + | 11.8177i | 0.145537 | + | 0.825383i | ||||
\(206\) | 6.92820 | − | 12.0000i | 0.482711 | − | 0.836080i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.50000 | − | 4.33013i | −0.173344 | − | 0.300240i | ||||
\(209\) | 5.30731 | − | 4.45336i | 0.367114 | − | 0.308046i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.73648 | + | 9.84808i | −0.119544 | + | 0.677970i | 0.864855 | + | 0.502022i | \(0.167410\pi\) |
−0.984399 | + | 0.175948i | \(0.943701\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.46410 | 0.236250 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.0000 | 1.08615 | ||||||||
\(218\) | 17.9035 | + | 6.51636i | 1.21258 | + | 0.441344i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.59627 | + | 3.85673i | 0.309880 | + | 0.260020i | ||||
\(221\) | 0.902302 | − | 5.11721i | 0.0606954 | − | 0.344221i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.53209 | − | 1.28558i | 0.102596 | − | 0.0860885i | −0.590047 | − | 0.807369i | \(-0.700891\pi\) |
0.692643 | + | 0.721281i | \(0.256446\pi\) | |||||||
\(224\) | −5.19615 | − | 9.00000i | −0.347183 | − | 0.601338i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.50000 | − | 2.59808i | 0.0997785 | − | 0.172821i | ||||
\(227\) | 0.601535 | + | 3.41147i | 0.0399253 | + | 0.226427i | 0.998241 | − | 0.0592832i | \(-0.0188815\pi\) |
−0.958316 | + | 0.285711i | \(0.907770\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.939693 | − | 0.342020i | 0.0620966 | − | 0.0226013i | −0.310785 | − | 0.950480i | \(-0.600592\pi\) |
0.372882 | + | 0.927879i | \(0.378370\pi\) | |||||||
\(230\) | −9.76557 | + | 3.55438i | −0.643923 | + | 0.234369i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.520945 | − | 2.95442i | −0.0342017 | − | 0.193967i | ||||
\(233\) | −12.9904 | + | 22.5000i | −0.851028 | + | 1.47402i | 0.0292532 | + | 0.999572i | \(0.490687\pi\) |
−0.880281 | + | 0.474452i | \(0.842646\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.00000 | + | 10.3923i | 0.391397 | + | 0.677919i | ||||
\(236\) | −10.6146 | + | 8.90673i | −0.690953 | + | 0.579779i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.12567 | − | 17.7265i | 0.202607 | − | 1.14904i | ||||
\(239\) | 21.2292 | + | 17.8135i | 1.37321 | + | 1.15226i | 0.971651 | + | 0.236422i | \(0.0759747\pi\) |
0.401555 | + | 0.915835i | \(0.368470\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −27.2511 | − | 9.91858i | −1.75540 | − | 0.638912i | −0.755528 | − | 0.655116i | \(-0.772620\pi\) |
−0.999869 | + | 0.0162041i | \(0.994842\pi\) | |||||||
\(242\) | −1.73205 | −0.111340 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −7.00000 | −0.448129 | ||||||||
\(245\) | 4.88279 | + | 1.77719i | 0.311950 | + | 0.113540i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.53209 | − | 1.28558i | −0.0974845 | − | 0.0817992i | ||||
\(248\) | 2.40614 | − | 13.6459i | 0.152790 | − | 0.866515i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 16.0869 | − | 13.4985i | 1.01743 | − | 0.853723i | ||||
\(251\) | 5.19615 | + | 9.00000i | 0.327978 | + | 0.568075i | 0.982111 | − | 0.188305i | \(-0.0602994\pi\) |
−0.654132 | + | 0.756380i | \(0.726966\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.00000 | − | 10.3923i | 0.377217 | − | 0.653359i | ||||
\(254\) | −0.601535 | − | 3.41147i | −0.0377437 | − | 0.214055i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −17.8542 | + | 6.49838i | −1.11588 | + | 0.406149i | ||||
\(257\) | 8.13798 | − | 2.96198i | 0.507633 | − | 0.184763i | −0.0754909 | − | 0.997146i | \(-0.524052\pi\) |
0.583124 | + | 0.812383i | \(0.301830\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.43107 | − | 13.7873i | −0.151060 | − | 0.856702i | ||||
\(260\) | 0.866025 | − | 1.50000i | 0.0537086 | − | 0.0930261i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.00000 | − | 5.19615i | −0.185341 | − | 0.321019i | ||||
\(263\) | −5.30731 | + | 4.45336i | −0.327263 | + | 0.274606i | −0.791583 | − | 0.611061i | \(-0.790743\pi\) |
0.464321 | + | 0.885667i | \(0.346299\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −5.30731 | − | 4.45336i | −0.325412 | − | 0.273053i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.39693 | + | 3.42020i | 0.574009 | + | 0.208922i | ||||
\(269\) | 15.5885 | 0.950445 | 0.475223 | − | 0.879866i | \(-0.342368\pi\) | ||||
0.475223 | + | 0.879866i | \(0.342368\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.00000 | 0.121491 | 0.0607457 | − | 0.998153i | \(-0.480652\pi\) | ||||
0.0607457 | + | 0.998153i | \(0.480652\pi\) | |||||||
\(272\) | −24.4139 | − | 8.88594i | −1.48031 | − | 0.538789i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.29813 | + | 1.92836i | 0.138835 | + | 0.116497i | ||||
\(275\) | −1.20307 | + | 6.82295i | −0.0725478 | + | 0.411439i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.53209 | − | 1.28558i | 0.0920543 | − | 0.0772427i | −0.595599 | − | 0.803282i | \(-0.703085\pi\) |
0.687653 | + | 0.726039i | \(0.258641\pi\) | |||||||
\(278\) | 6.92820 | + | 12.0000i | 0.415526 | + | 0.719712i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.00000 | + | 5.19615i | −0.179284 | + | 0.310530i | ||||
\(281\) | −2.10537 | − | 11.9402i | −0.125596 | − | 0.712290i | −0.980952 | − | 0.194250i | \(-0.937773\pi\) |
0.855356 | − | 0.518040i | \(-0.173338\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 26.3114 | − | 9.57656i | 1.56405 | − | 0.569268i | 0.592390 | − | 0.805651i | \(-0.298184\pi\) |
0.971660 | + | 0.236384i | \(0.0759622\pi\) | |||||||
\(284\) | −9.76557 | + | 3.55438i | −0.579480 | + | 0.210914i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.04189 | + | 5.90885i | 0.0616082 | + | 0.349397i | ||||
\(287\) | −6.92820 | + | 12.0000i | −0.408959 | + | 0.708338i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.00000 | − | 8.66025i | −0.294118 | − | 0.509427i | ||||
\(290\) | 3.98048 | − | 3.34002i | 0.233742 | − | 0.196133i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.21554 | + | 6.89365i | −0.0711339 | + | 0.403421i | ||||
\(293\) | −14.5951 | − | 12.2467i | −0.852655 | − | 0.715463i | 0.107717 | − | 0.994182i | \(-0.465646\pi\) |
−0.960373 | + | 0.278719i | \(0.910090\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 22.5526 | + | 8.20848i | 1.31306 | + | 0.477916i | ||||
\(296\) | −12.1244 | −0.704714 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 15.0000 | 0.868927 | ||||||||
\(299\) | −3.25519 | − | 1.18479i | −0.188253 | − | 0.0685183i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.06418 | + | 2.57115i | 0.176616 | + | 0.148199i | ||||
\(302\) | −6.01535 | + | 34.1147i | −0.346144 | + | 1.96308i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.66044 | + | 6.42788i | −0.439357 | + | 0.368664i | ||||
\(305\) | 6.06218 | + | 10.5000i | 0.347119 | + | 0.601228i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.00000 | − | 13.8564i | 0.456584 | − | 0.790827i | −0.542194 | − | 0.840254i | \(-0.682406\pi\) |
0.998778 | + | 0.0494267i | \(0.0157394\pi\) | |||||||
\(308\) | 1.20307 | + | 6.82295i | 0.0685513 | + | 0.388774i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 22.5526 | − | 8.20848i | 1.28090 | − | 0.466211i | ||||
\(311\) | −6.51038 | + | 2.36959i | −0.369170 | + | 0.134367i | −0.519942 | − | 0.854202i | \(-0.674046\pi\) |
0.150772 | + | 0.988569i | \(0.451824\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.34120 | − | 24.6202i | −0.245379 | − | 1.39162i | −0.819610 | − | 0.572922i | \(-0.805810\pi\) |
0.574231 | − | 0.818694i | \(-0.305301\pi\) | |||||||
\(314\) | 14.7224 | − | 25.5000i | 0.830835 | − | 1.43905i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.00000 | − | 1.73205i | −0.0562544 | − | 0.0974355i | ||||
\(317\) | 6.63414 | − | 5.56670i | 0.372610 | − | 0.312657i | −0.437183 | − | 0.899373i | \(-0.644024\pi\) |
0.809793 | + | 0.586715i | \(0.199579\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.04189 | + | 5.90885i | −0.0583346 | + | 0.330832i | ||||
\(320\) | 1.32683 | + | 1.11334i | 0.0741719 | + | 0.0622376i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −11.2763 | − | 4.10424i | −0.628404 | − | 0.228720i | ||||
\(323\) | −10.3923 | −0.578243 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.00000 | 0.110940 | ||||||||
\(326\) | −26.0415 | − | 9.47834i | −1.44231 | − | 0.524957i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.19253 | + | 7.71345i | 0.507573 | + | 0.425904i | ||||
\(329\) | −2.40614 | + | 13.6459i | −0.132655 | + | 0.752323i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.53209 | − | 1.28558i | 0.0842112 | − | 0.0706616i | −0.599710 | − | 0.800217i | \(-0.704718\pi\) |
0.683922 | + | 0.729556i | \(0.260273\pi\) | |||||||
\(332\) | −6.92820 | − | 12.0000i | −0.380235 | − | 0.658586i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 15.0000 | − | 25.9808i | 0.820763 | − | 1.42160i | ||||
\(335\) | −3.00767 | − | 17.0574i | −0.164327 | − | 0.931944i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −24.4320 | + | 8.89252i | −1.33090 | + | 0.484407i | −0.906934 | − | 0.421273i | \(-0.861583\pi\) |
−0.423962 | + | 0.905680i | \(0.639361\pi\) | |||||||
\(338\) | −19.5311 | + | 7.10876i | −1.06235 | + | 0.386665i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.56283 | − | 8.86327i | −0.0847566 | − | 0.480678i | ||||
\(341\) | −13.8564 | + | 24.0000i | −0.750366 | + | 1.29967i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | + | 17.3205i | 0.539949 | + | 0.935220i | ||||
\(344\) | 2.65366 | − | 2.22668i | 0.143076 | − | 0.120055i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.73039 | + | 32.4987i | −0.308068 | + | 1.74714i | ||||
\(347\) | −2.65366 | − | 2.22668i | −0.142456 | − | 0.119535i | 0.568775 | − | 0.822493i | \(-0.307417\pi\) |
−0.711231 | + | 0.702959i | \(0.751862\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.87939 | − | 0.684040i | −0.100601 | − | 0.0366158i | 0.291229 | − | 0.956653i | \(-0.405936\pi\) |
−0.391830 | + | 0.920037i | \(0.628158\pi\) | |||||||
\(350\) | 6.92820 | 0.370328 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.0000 | 0.959403 | ||||||||
\(353\) | −13.0208 | − | 4.73917i | −0.693025 | − | 0.252241i | −0.0285953 | − | 0.999591i | \(-0.509103\pi\) |
−0.664430 | + | 0.747350i | \(0.731326\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 13.7888 | + | 11.5702i | 0.731834 | + | 0.614081i | ||||
\(356\) | 0.902302 | − | 5.11721i | 0.0478219 | − | 0.271212i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 27.5776 | − | 23.1404i | 1.45752 | − | 1.22301i | ||||
\(359\) | 5.19615 | + | 9.00000i | 0.274242 | + | 0.475002i | 0.969944 | − | 0.243329i | \(-0.0782396\pi\) |
−0.695701 | + | 0.718331i | \(0.744906\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.50000 | − | 12.9904i | 0.394737 | − | 0.683704i | ||||
\(362\) | −0.601535 | − | 3.41147i | −0.0316160 | − | 0.179303i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.87939 | − | 0.684040i | 0.0985066 | − | 0.0358535i | ||||
\(365\) | 11.3932 | − | 4.14677i | 0.596346 | − | 0.217052i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.47296 | + | 19.6962i | 0.181287 | + | 1.02813i | 0.930633 | + | 0.365953i | \(0.119257\pi\) |
−0.749346 | + | 0.662178i | \(0.769632\pi\) | |||||||
\(368\) | −8.66025 | + | 15.0000i | −0.451447 | + | 0.781929i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.5000 | − | 18.1865i | −0.545869 | − | 0.945473i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.73648 | + | 9.84808i | −0.0899116 | + | 0.509914i | 0.906277 | + | 0.422685i | \(0.138912\pi\) |
−0.996188 | + | 0.0872291i | \(0.972199\pi\) | |||||||
\(374\) | 23.8829 | + | 20.0401i | 1.23496 | + | 1.03625i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.2763 | + | 4.10424i | 0.581531 | + | 0.211660i | ||||
\(377\) | 1.73205 | 0.0892052 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.0000 | −0.821865 | −0.410932 | − | 0.911666i | \(-0.634797\pi\) | ||||
−0.410932 | + | 0.911666i | \(0.634797\pi\) | |||||||
\(380\) | −3.25519 | − | 1.18479i | −0.166988 | − | 0.0607786i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 22.9813 | + | 19.2836i | 1.17583 | + | 0.986636i | ||||
\(383\) | 3.00767 | − | 17.0574i | 0.153685 | − | 0.871591i | −0.806293 | − | 0.591516i | \(-0.798530\pi\) |
0.959978 | − | 0.280075i | \(-0.0903593\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 9.19253 | − | 7.71345i | 0.468495 | − | 0.393114i | ||||
\(386\) | −0.866025 | − | 1.50000i | −0.0440795 | − | 0.0763480i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.00000 | + | 1.73205i | −0.0507673 | + | 0.0879316i | ||||
\(389\) | −4.81228 | − | 27.2918i | −0.243992 | − | 1.38375i | −0.822821 | − | 0.568300i | \(-0.807601\pi\) |
0.578829 | − | 0.815449i | \(-0.303510\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −16.9145 | + | 6.15636i | −0.855401 | + | 0.311341i | ||||
\(392\) | 4.88279 | − | 1.77719i | 0.246618 | − | 0.0897616i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.56283 | − | 8.86327i | −0.0787344 | − | 0.446525i | ||||
\(395\) | −1.73205 | + | 3.00000i | −0.0871489 | + | 0.150946i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.5000 | − | 25.1147i | −0.727734 | − | 1.26047i | −0.957839 | − | 0.287307i | \(-0.907240\pi\) |
0.230105 | − | 0.973166i | \(-0.426093\pi\) | |||||||
\(398\) | −26.5366 | + | 22.2668i | −1.33016 | + | 1.11613i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.73648 | − | 9.84808i | 0.0868241 | − | 0.492404i | ||||
\(401\) | 9.28780 | + | 7.79339i | 0.463810 | + | 0.389183i | 0.844531 | − | 0.535507i | \(-0.179879\pi\) |
−0.380720 | + | 0.924690i | \(0.624324\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.51754 | + | 2.73616i | 0.374475 | + | 0.136298i | ||||
\(404\) | −6.92820 | −0.344691 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.00000 | 0.297775 | ||||||||
\(407\) | 22.7863 | + | 8.29355i | 1.12948 | + | 0.411096i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.5548 | − | 12.2130i | −0.719691 | − | 0.603892i | 0.207609 | − | 0.978212i | \(-0.433432\pi\) |
−0.927300 | + | 0.374320i | \(0.877876\pi\) | |||||||
\(410\) | −3.60921 | + | 20.4688i | −0.178246 | + | 1.01088i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.12836 | − | 5.14230i | 0.301922 | − | 0.253343i | ||||
\(413\) | 13.8564 | + | 24.0000i | 0.681829 | + | 1.18096i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0000 | + | 20.7846i | −0.589057 | + | 1.02028i | ||||
\(416\) | −0.902302 | − | 5.11721i | −0.0442390 | − | 0.250892i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 11.2763 | − | 4.10424i | 0.551542 | − | 0.200745i | ||||
\(419\) | −6.51038 | + | 2.36959i | −0.318053 | + | 0.115762i | −0.496113 | − | 0.868258i | \(-0.665240\pi\) |
0.178060 | + | 0.984020i | \(0.443018\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.34120 | − | 24.6202i | −0.211577 | − | 1.19991i | −0.886748 | − | 0.462253i | \(-0.847041\pi\) |
0.675171 | − | 0.737662i | \(-0.264070\pi\) | |||||||
\(422\) | −8.66025 | + | 15.0000i | −0.421575 | + | 0.730189i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 7.96097 | − | 6.68004i | 0.386164 | − | 0.324030i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.43107 | + | 13.7873i | −0.117648 | + | 0.667215i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.63816 | + | 2.05212i | 0.271896 | + | 0.0989621i | ||||
\(431\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.0000 | 0.528626 | 0.264313 | − | 0.964437i | \(-0.414855\pi\) | ||||
0.264313 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(434\) | 26.0415 | + | 9.47834i | 1.25003 | + | 0.454975i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.42649 | + | 7.07066i | 0.403556 | + | 0.338623i | ||||
\(437\) | −1.20307 | + | 6.82295i | −0.0575506 | + | 0.326386i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.3209 | − | 12.8558i | 0.731226 | − | 0.613572i | −0.199239 | − | 0.979951i | \(-0.563847\pi\) |
0.930466 | + | 0.366379i | \(0.119403\pi\) | |||||||
\(440\) | −5.19615 | − | 9.00000i | −0.247717 | − | 0.429058i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.50000 | − | 7.79423i | 0.214043 | − | 0.370734i | ||||
\(443\) | 6.01535 | + | 34.1147i | 0.285798 | + | 1.62084i | 0.702422 | + | 0.711761i | \(0.252102\pi\) |
−0.416624 | + | 0.909079i | \(0.636787\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.45723 | + | 3.07818i | −0.400911 | + | 0.145920i | ||||
\(446\) | 3.25519 | − | 1.18479i | 0.154138 | − | 0.0561016i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.347296 | + | 1.96962i | 0.0164082 | + | 0.0930556i | ||||
\(449\) | 10.3923 | − | 18.0000i | 0.490443 | − | 0.849473i | −0.509496 | − | 0.860473i | \(-0.670168\pi\) |
0.999939 | + | 0.0110003i | \(0.00350158\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.0000 | − | 20.7846i | −0.565058 | − | 0.978709i | ||||
\(452\) | 1.32683 | − | 1.11334i | 0.0624087 | − | 0.0523671i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −1.04189 | + | 5.90885i | −0.0488983 | + | 0.277316i | ||||
\(455\) | −2.65366 | − | 2.22668i | −0.124405 | − | 0.104388i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −27.2511 | − | 9.91858i | −1.27475 | − | 0.463972i | −0.386059 | − | 0.922474i | \(-0.626164\pi\) |
−0.888693 | + | 0.458502i | \(0.848386\pi\) | |||||||
\(458\) | 1.73205 | 0.0809334 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −6.00000 | −0.279751 | ||||||||
\(461\) | −13.0208 | − | 4.73917i | −0.606437 | − | 0.220725i | 0.0205063 | − | 0.999790i | \(-0.493472\pi\) |
−0.626944 | + | 0.779065i | \(0.715694\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.12836 | + | 5.14230i | 0.284809 | + | 0.238983i | 0.773988 | − | 0.633200i | \(-0.218259\pi\) |
−0.489179 | + | 0.872183i | \(0.662704\pi\) | |||||||
\(464\) | 1.50384 | − | 8.52869i | 0.0698139 | − | 0.395934i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −34.4720 | + | 28.9254i | −1.59688 | + | 1.33995i | ||||
\(467\) | −10.3923 | − | 18.0000i | −0.480899 | − | 0.832941i | 0.518861 | − | 0.854858i | \(-0.326356\pi\) |
−0.999760 | + | 0.0219178i | \(0.993023\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.0000 | − | 17.3205i | 0.461757 | − | 0.799787i | ||||
\(470\) | 3.60921 | + | 20.4688i | 0.166480 | + | 0.944157i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 22.5526 | − | 8.20848i | 1.03807 | − | 0.377826i | ||||
\(473\) | −6.51038 | + | 2.36959i | −0.299348 | + | 0.108954i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.694593 | − | 3.93923i | −0.0318701 | − | 0.180744i | ||||
\(476\) | 5.19615 | − | 9.00000i | 0.238165 | − | 0.412514i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 24.0000 | + | 41.5692i | 1.09773 | + | 1.90133i | ||||
\(479\) | 18.5756 | − | 15.5868i | 0.848740 | − | 0.712178i | −0.110771 | − | 0.993846i | \(-0.535332\pi\) |
0.959512 | + | 0.281668i | \(0.0908877\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.21554 | − | 6.89365i | 0.0554237 | − | 0.314324i | ||||
\(482\) | −38.4780 | − | 32.2869i | −1.75263 | − | 1.47063i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.939693 | − | 0.342020i | −0.0427133 | − | 0.0155464i | ||||
\(485\) | 3.46410 | 0.157297 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.0000 | −0.725029 | −0.362515 | − | 0.931978i | \(-0.618082\pi\) | ||||
−0.362515 | + | 0.931978i | \(0.618082\pi\) | |||||||
\(488\) | 11.3932 | + | 4.14677i | 0.515744 | + | 0.187716i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.89440 | + | 5.78509i | 0.311457 | + | 0.261344i | ||||
\(491\) | 3.00767 | − | 17.0574i | 0.135734 | − | 0.769788i | −0.838611 | − | 0.544731i | \(-0.816632\pi\) |
0.974345 | − | 0.225058i | \(-0.0722570\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.89440 | − | 5.78509i | 0.310508 | − | 0.260547i | ||||
\(494\) | −1.73205 | − | 3.00000i | −0.0779287 | − | 0.134976i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.0000 | − | 34.6410i | 0.898027 | − | 1.55543i | ||||
\(497\) | 3.60921 | + | 20.4688i | 0.161895 | + | 0.918153i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.39693 | − | 3.42020i | 0.420664 | − | 0.153109i | −0.123010 | − | 0.992405i | \(-0.539255\pi\) |
0.543675 | + | 0.839296i | \(0.317033\pi\) | |||||||
\(500\) | 11.3932 | − | 4.14677i | 0.509518 | − | 0.185449i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 3.12567 | + | 17.7265i | 0.139505 | + | 0.791174i | ||||
\(503\) | 10.3923 | − | 18.0000i | 0.463370 | − | 0.802580i | −0.535756 | − | 0.844373i | \(-0.679973\pi\) |
0.999126 | + | 0.0417923i | \(0.0133068\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.00000 | + | 10.3923i | 0.266996 | + | 0.462451i | ||||
\(506\) | 15.9219 | − | 13.3601i | 0.707816 | − | 0.593928i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.347296 | − | 1.96962i | 0.0154088 | − | 0.0873876i | ||||
\(509\) | 21.2292 | + | 17.8135i | 0.940970 | + | 0.789567i | 0.977754 | − | 0.209756i | \(-0.0672669\pi\) |
−0.0367840 | + | 0.999323i | \(0.511711\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.1557 | + | 4.78828i | 0.581974 | + | 0.211821i | ||||
\(512\) | −8.66025 | −0.382733 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.0000 | 0.661622 | ||||||||
\(515\) | −13.0208 | − | 4.73917i | −0.573763 | − | 0.208833i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −18.3851 | − | 15.4269i | −0.808574 | − | 0.678474i | ||||
\(518\) | 4.21074 | − | 23.8803i | 0.185009 | − | 1.04924i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.29813 | + | 1.92836i | −0.100780 | + | 0.0845643i | ||||
\(521\) | −10.3923 | − | 18.0000i | −0.455295 | − | 0.788594i | 0.543410 | − | 0.839467i | \(-0.317133\pi\) |
−0.998705 | + | 0.0508731i | \(0.983800\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.0000 | + | 32.9090i | −0.830812 | + | 1.43901i | 0.0665832 | + | 0.997781i | \(0.478790\pi\) |
−0.897395 | + | 0.441228i | \(0.854543\pi\) | |||||||
\(524\) | −0.601535 | − | 3.41147i | −0.0262782 | − | 0.149031i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.2763 | + | 4.10424i | −0.491671 | + | 0.178953i | ||||
\(527\) | 39.0623 | − | 14.2175i | 1.70158 | − | 0.619324i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.91013 | − | 10.8329i | −0.0830491 | − | 0.470995i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.00000 | − | 3.46410i | −0.0867110 | − | 0.150188i | ||||
\(533\) | −5.30731 | + | 4.45336i | −0.229885 | + | 0.192897i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −13.2683 | − | 11.1334i | −0.573102 | − | 0.480890i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 25.3717 | + | 9.23454i | 1.09385 | + | 0.398129i | ||||
\(539\) | −10.3923 | −0.447628 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.0000 | 0.472927 | 0.236463 | − | 0.971640i | \(-0.424012\pi\) | ||||
0.236463 | + | 0.971640i | \(0.424012\pi\) | |||||||
\(542\) | 3.25519 | + | 1.18479i | 0.139822 | + | 0.0508912i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −20.6832 | − | 17.3553i | −0.886785 | − | 0.744101i | ||||
\(545\) | 3.30844 | − | 18.7631i | 0.141718 | − | 0.803723i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.3209 | − | 12.8558i | 0.655074 | − | 0.549672i | −0.253532 | − | 0.967327i | \(-0.581592\pi\) |
0.908606 | + | 0.417655i | \(0.137148\pi\) | |||||||
\(548\) | 0.866025 | + | 1.50000i | 0.0369948 | + | 0.0640768i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −6.00000 | + | 10.3923i | −0.255841 | + | 0.443129i | ||||
\(551\) | −0.601535 | − | 3.41147i | −0.0256262 | − | 0.145334i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.75877 | + | 1.36808i | −0.159839 | + | 0.0581767i | ||||
\(554\) | 3.25519 | − | 1.18479i | 0.138300 | − | 0.0503370i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.38919 | + | 7.87846i | 0.0589146 | + | 0.334121i | ||||
\(557\) | 18.1865 | − | 31.5000i | 0.770588 | − | 1.33470i | −0.166653 | − | 0.986016i | \(-0.553296\pi\) |
0.937241 | − | 0.348682i | \(-0.113371\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.00000 | + | 1.73205i | 0.0422955 | + | 0.0732579i | ||||
\(560\) | −13.2683 | + | 11.1334i | −0.560687 | + | 0.470472i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.64661 | − | 20.6810i | 0.153823 | − | 0.872374i | ||||
\(563\) | −26.5366 | − | 22.2668i | −1.11838 | − | 0.938434i | −0.119861 | − | 0.992791i | \(-0.538245\pi\) |
−0.998522 | + | 0.0543563i | \(0.982689\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.81908 | − | 1.02606i | −0.118599 | − | 0.0431667i | ||||
\(566\) | 48.4974 | 2.03850 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 18.0000 | 0.755263 | ||||||||
\(569\) | 30.9243 | + | 11.2555i | 1.29641 | + | 0.471856i | 0.895827 | − | 0.444402i | \(-0.146584\pi\) |
0.400587 | + | 0.916259i | \(0.368806\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.12836 | + | 5.14230i | 0.256464 | + | 0.215199i | 0.761950 | − | 0.647636i | \(-0.224242\pi\) |
−0.505486 | + | 0.862835i | \(0.668687\pi\) | |||||||
\(572\) | −0.601535 | + | 3.41147i | −0.0251514 | + | 0.142641i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −18.3851 | + | 15.4269i | −0.767378 | + | 0.643906i | ||||
\(575\) | −3.46410 | − | 6.00000i | −0.144463 | − | 0.250217i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.50000 | + | 9.52628i | −0.228968 | + | 0.396584i | −0.957503 | − | 0.288425i | \(-0.906868\pi\) |
0.728535 | + | 0.685009i | \(0.240202\pi\) | |||||||
\(578\) | −3.00767 | − | 17.0574i | −0.125103 | − | 0.709493i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.81908 | − | 1.02606i | 0.117056 | − | 0.0426048i | ||||
\(581\) | −26.0415 | + | 9.47834i | −1.08038 | + | 0.393228i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 6.06218 | − | 10.5000i | 0.250855 | − | 0.434493i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −16.5000 | − | 28.5788i | −0.681609 | − | 1.18058i | ||||
\(587\) | −29.1902 | + | 24.4935i | −1.20481 | + | 1.01095i | −0.205330 | + | 0.978693i | \(0.565827\pi\) |
−0.999479 | + | 0.0322620i | \(0.989729\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.77837 | − | 15.7569i | 0.114481 | − | 0.649253i | ||||
\(590\) | 31.8439 | + | 26.7202i | 1.31099 | + | 1.10005i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −32.8892 | − | 11.9707i | −1.35174 | − | 0.491993i | ||||
\(593\) | −15.5885 | −0.640141 | −0.320071 | − | 0.947394i | \(-0.603707\pi\) | ||||
−0.320071 | + | 0.947394i | \(0.603707\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.0000 | −0.737928 | ||||||||
\(596\) | 8.13798 | + | 2.96198i | 0.333345 | + | 0.121327i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −4.59627 | − | 3.85673i | −0.187955 | − | 0.157713i | ||||
\(599\) | −2.40614 | + | 13.6459i | −0.0983122 | + | 0.557556i | 0.895370 | + | 0.445323i | \(0.146911\pi\) |
−0.993682 | + | 0.112233i | \(0.964200\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.1511 | + | 16.0697i | −0.781190 | + | 0.655496i | −0.943548 | − | 0.331236i | \(-0.892535\pi\) |
0.162358 | + | 0.986732i | \(0.448090\pi\) | |||||||
\(602\) | 3.46410 | + | 6.00000i | 0.141186 | + | 0.244542i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.0000 | + | 17.3205i | −0.406894 | + | 0.704761i | ||||
\(605\) | 0.300767 | + | 1.70574i | 0.0122279 | + | 0.0693481i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −24.4320 | + | 8.89252i | −0.991665 | + | 0.360936i | −0.786365 | − | 0.617763i | \(-0.788039\pi\) |
−0.205300 | + | 0.978699i | \(0.565817\pi\) | |||||||
\(608\) | −9.76557 | + | 3.55438i | −0.396046 | + | 0.144149i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.64661 | + | 20.6810i | 0.147647 | + | 0.837348i | ||||
\(611\) | −3.46410 | + | 6.00000i | −0.140143 | + | 0.242734i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 17.0000 | + | 29.4449i | 0.686624 | + | 1.18927i | 0.972924 | + | 0.231127i | \(0.0742412\pi\) |
−0.286300 | + | 0.958140i | \(0.592425\pi\) | |||||||
\(614\) | 21.2292 | − | 17.8135i | 0.856743 | − | 0.718892i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.08378 | − | 11.8177i | 0.0839578 | − | 0.476148i | ||||
\(617\) | 9.28780 | + | 7.79339i | 0.373913 | + | 0.313750i | 0.810307 | − | 0.586006i | \(-0.199300\pi\) |
−0.436394 | + | 0.899755i | \(0.643745\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −18.7939 | − | 6.84040i | −0.755389 | − | 0.274939i | −0.0645172 | − | 0.997917i | \(-0.520551\pi\) |
−0.690871 | + | 0.722978i | \(0.742773\pi\) | |||||||
\(620\) | 13.8564 | 0.556487 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.0000 | −0.481156 | ||||||||
\(623\) | −9.76557 | − | 3.55438i | −0.391249 | − | 0.142403i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.42649 | − | 7.07066i | −0.337060 | − | 0.282827i | ||||
\(626\) | 7.51919 | − | 42.6434i | 0.300527 | − | 1.70437i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 13.0228 | − | 10.9274i | 0.519665 | − | 0.436050i | ||||
\(629\) | −18.1865 | − | 31.5000i | −0.725145 | − | 1.25599i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.0000 | + | 17.3205i | −0.398094 | + | 0.689519i | −0.993491 | − | 0.113913i | \(-0.963661\pi\) |
0.595397 | + | 0.803432i | \(0.296995\pi\) | |||||||
\(632\) | 0.601535 | + | 3.41147i | 0.0239278 | + | 0.135701i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 14.0954 | − | 5.13030i | 0.559799 | − | 0.203750i | ||||
\(635\) | −3.25519 | + | 1.18479i | −0.129178 | + | 0.0470171i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.520945 | + | 2.95442i | 0.0206406 | + | 0.117059i | ||||
\(638\) | −5.19615 | + | 9.00000i | −0.205718 | + | 0.356313i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.5000 | + | 18.1865i | 0.415049 | + | 0.718886i | ||||
\(641\) | −17.2488 | + | 14.4734i | −0.681285 | + | 0.571666i | −0.916382 | − | 0.400306i | \(-0.868904\pi\) |
0.235096 | + | 0.971972i | \(0.424459\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.38919 | − | 7.87846i | 0.0547841 | − | 0.310696i | −0.945086 | − | 0.326822i | \(-0.894022\pi\) |
0.999870 | + | 0.0161260i | \(0.00513328\pi\) | |||||||
\(644\) | −5.30731 | − | 4.45336i | −0.209137 | − | 0.175487i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −16.9145 | − | 6.15636i | −0.665491 | − | 0.242219i | ||||
\(647\) | 31.1769 | 1.22569 | 0.612845 | − | 0.790203i | \(-0.290025\pi\) | ||||
0.612845 | + | 0.790203i | \(0.290025\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −48.0000 | −1.88416 | ||||||||
\(650\) | 3.25519 | + | 1.18479i | 0.127679 | + | 0.0464714i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.2567 | − | 10.2846i | −0.480010 | − | 0.402776i | ||||
\(653\) | −2.40614 | + | 13.6459i | −0.0941595 | + | 0.534005i | 0.900842 | + | 0.434147i | \(0.142950\pi\) |
−0.995002 | + | 0.0998584i | \(0.968161\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.59627 | + | 3.85673i | −0.179591 | + | 0.150695i | ||||
\(656\) | 17.3205 | + | 30.0000i | 0.676252 | + | 1.17130i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −12.0000 | + | 20.7846i | −0.467809 | + | 0.810268i | ||||
\(659\) | 0.601535 | + | 3.41147i | 0.0234325 | + | 0.132892i | 0.994280 | − | 0.106806i | \(-0.0340625\pi\) |
−0.970847 | + | 0.239699i | \(0.922951\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.9748 | + | 5.81434i | −0.621347 | + | 0.226152i | −0.633461 | − | 0.773775i | \(-0.718366\pi\) |
0.0121139 | + | 0.999927i | \(0.496144\pi\) | |||||||
\(662\) | 3.25519 | − | 1.18479i | 0.126517 | − | 0.0460483i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.16756 | + | 23.6354i | 0.161733 | + | 0.917231i | ||||
\(665\) | −3.46410 | + | 6.00000i | −0.134332 | + | 0.232670i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.00000 | − | 5.19615i | −0.116160 | − | 0.201196i | ||||
\(668\) | 13.2683 | − | 11.1334i | 0.513365 | − | 0.430764i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.20945 | − | 29.5442i | 0.201258 | − | 1.14139i | ||||
\(671\) | −18.5756 | − | 15.5868i | −0.717103 | − | 0.601721i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.4923 | + | 8.55050i | 0.905562 | + | 0.329598i | 0.752479 | − | 0.658616i | \(-0.228858\pi\) |
0.153083 | + | 0.988213i | \(0.451080\pi\) | |||||||
\(674\) | −45.0333 | −1.73462 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −12.0000 | −0.461538 | ||||||||
\(677\) | −13.0208 | − | 4.73917i | −0.500429 | − | 0.182141i | 0.0794582 | − | 0.996838i | \(-0.474681\pi\) |
−0.579887 | + | 0.814697i | \(0.696903\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.06418 | + | 2.57115i | 0.117592 | + | 0.0986717i | ||||
\(680\) | −2.70691 | + | 15.3516i | −0.103805 | + | 0.588708i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −36.7701 | + | 30.8538i | −1.40800 | + | 1.18145i | ||||
\(683\) | −10.3923 | − | 18.0000i | −0.397650 | − | 0.688751i | 0.595785 | − | 0.803144i | \(-0.296841\pi\) |
−0.993436 | + | 0.114393i | \(0.963508\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.50000 | − | 2.59808i | 0.0573121 | − | 0.0992674i | ||||
\(686\) | 6.01535 | + | 34.1147i | 0.229667 | + | 1.30251i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 9.39693 | − | 3.42020i | 0.358254 | − | 0.130394i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.347296 | + | 1.96962i | 0.0132118 | + | 0.0749277i | 0.990701 | − | 0.136059i | \(-0.0434436\pi\) |
−0.977489 | + | 0.210986i | \(0.932332\pi\) | |||||||
\(692\) | −9.52628 | + | 16.5000i | −0.362135 | + | 0.627236i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.00000 | − | 5.19615i | −0.113878 | − | 0.197243i | ||||
\(695\) | 10.6146 | − | 8.90673i | 0.402636 | − | 0.337851i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.25133 | + | 35.4531i | −0.236786 | + | 1.34288i | ||||
\(698\) | −2.65366 | − | 2.22668i | −0.100442 | − | 0.0842811i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.75877 | + | 1.36808i | 0.142068 | + | 0.0517086i | ||||
\(701\) | −46.7654 | −1.76630 | −0.883152 | − | 0.469087i | \(-0.844583\pi\) | ||||
−0.883152 | + | 0.469087i | \(0.844583\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.0000 | −0.528020 | ||||||||
\(704\) | −3.25519 | − | 1.18479i | −0.122685 | − | 0.0446535i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −18.3851 | − | 15.4269i | −0.691931 | − | 0.580599i | ||||
\(707\) | −2.40614 | + | 13.6459i | −0.0904922 | + | 0.513207i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −19.1511 | + | 16.0697i | −0.719235 | + | 0.603510i | −0.927174 | − | 0.374632i | \(-0.877769\pi\) |
0.207939 | + | 0.978142i | \(0.433325\pi\) | |||||||
\(710\) | 15.5885 | + | 27.0000i | 0.585024 | + | 1.01329i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.50000 | + | 7.79423i | −0.168645 | + | 0.292101i | ||||
\(713\) | −4.81228 | − | 27.2918i | −0.180221 | − | 1.02209i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.63816 | − | 2.05212i | 0.210855 | − | 0.0767450i | ||||
\(716\) | 19.5311 | − | 7.10876i | 0.729913 | − | 0.265667i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.12567 | + | 17.7265i | 0.116649 | + | 0.661549i | ||||
\(719\) | −5.19615 | + | 9.00000i | −0.193784 | + | 0.335643i | −0.946501 | − | 0.322700i | \(-0.895409\pi\) |
0.752717 | + | 0.658344i | \(0.228743\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.00000 | − | 13.8564i | −0.297936 | − | 0.516040i | ||||
\(722\) | 19.9024 | − | 16.7001i | 0.740691 | − | 0.621514i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.347296 | − | 1.96962i | 0.0129072 | − | 0.0732002i | ||||
\(725\) | 2.65366 | + | 2.22668i | 0.0985543 | + | 0.0826969i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 31.9495 | + | 11.6287i | 1.18494 | + | 0.431284i | 0.857945 | − | 0.513741i | \(-0.171741\pi\) |
0.326998 | + | 0.945025i | \(0.393963\pi\) | |||||||
\(728\) | −3.46410 | −0.128388 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 21.0000 | 0.777245 | ||||||||
\(731\) | 9.76557 | + | 3.55438i | 0.361193 | + | 0.131463i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.2380 | − | 29.5682i | −1.30155 | − | 1.09213i | −0.989876 | − | 0.141937i | \(-0.954667\pi\) |
−0.311671 | − | 0.950190i | \(-0.600889\pi\) | |||||||
\(734\) | −6.01535 | + | 34.1147i | −0.222031 | + | 1.25920i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −13.7888 | + | 11.5702i | −0.508262 | + | 0.426482i | ||||
\(737\) | 17.3205 | + | 30.0000i | 0.638009 | + | 1.10506i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.0000 | + | 17.3205i | −0.367856 | + | 0.637145i | −0.989230 | − | 0.146369i | \(-0.953241\pi\) |
0.621374 | + | 0.783514i | \(0.286575\pi\) | |||||||
\(740\) | −2.10537 | − | 11.9402i | −0.0773950 | − | 0.438929i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.51038 | + | 2.36959i | −0.238843 | + | 0.0869316i | −0.458668 | − | 0.888608i | \(-0.651673\pi\) |
0.219826 | + | 0.975539i | \(0.429451\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.60472 | − | 14.7721i | −0.0954297 | − | 0.541208i | ||||
\(746\) | −8.66025 | + | 15.0000i | −0.317074 | + | 0.549189i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 9.00000 | + | 15.5885i | 0.329073 | + | 0.569970i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.73648 | + | 9.84808i | −0.0633651 | + | 0.359361i | 0.936595 | + | 0.350414i | \(0.113959\pi\) |
−0.999960 | + | 0.00894729i | \(0.997152\pi\) | |||||||
\(752\) | 26.5366 | + | 22.2668i | 0.967689 | + | 0.811987i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.81908 | + | 1.02606i | 0.102665 | + | 0.0373669i | ||||
\(755\) | 34.6410 | 1.26072 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.00000 | 0.0726912 | 0.0363456 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(758\) | −26.0415 | − | 9.47834i | −0.945871 | − | 0.344269i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.59627 | + | 3.85673i | 0.166724 | + | 0.139898i | ||||
\(761\) | −5.11305 | + | 28.9975i | −0.185348 | + | 1.05116i | 0.740160 | + | 0.672431i | \(0.234750\pi\) |
−0.925508 | + | 0.378729i | \(0.876361\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.8530 | − | 14.1413i | 0.610119 | − | 0.511950i | ||||
\(764\) | 8.66025 | + | 15.0000i | 0.313317 | + | 0.542681i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 15.0000 | − | 25.9808i | 0.541972 | − | 0.938723i | ||||
\(767\) | 2.40614 | + | 13.6459i | 0.0868807 | + | 0.492725i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.939693 | − | 0.342020i | 0.0338862 | − | 0.0123336i | −0.325021 | − | 0.945707i | \(-0.605372\pi\) |
0.358908 | + | 0.933373i | \(0.383149\pi\) | |||||||
\(770\) | 19.5311 | − | 7.10876i | 0.703854 | − | 0.256182i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.173648 | − | 0.984808i | −0.00624973 | − | 0.0354440i | ||||
\(773\) | −12.9904 | + | 22.5000i | −0.467232 | + | 0.809269i | −0.999299 | − | 0.0374331i | \(-0.988082\pi\) |
0.532068 | + | 0.846702i | \(0.321415\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.00000 | + | 13.8564i | 0.287368 | + | 0.497737i | ||||
\(776\) | 2.65366 | − | 2.22668i | 0.0952607 | − | 0.0799332i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.33511 | − | 47.2708i | 0.298828 | − | 1.69474i | ||||
\(779\) | 10.6146 | + | 8.90673i | 0.380308 | + | 0.319117i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −33.8289 | − | 12.3127i | −1.21049 | − | 0.440584i | ||||
\(782\) | −31.1769 | −1.11488 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 15.0000 | 0.535714 | ||||||||
\(785\) | −27.6691 | − | 10.0707i | −0.987553 | − | 0.359440i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 19.9172 | + | 16.7125i | 0.709970 | + | 0.595735i | 0.924591 | − | 0.380962i | \(-0.124407\pi\) |
−0.214621 | + | 0.976697i | \(0.568852\pi\) | |||||||
\(788\) | 0.902302 | − | 5.11721i | 0.0321432 | − | 0.182293i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.59627 | + | 3.85673i | −0.163528 | + | 0.137216i | ||||
\(791\) | −1.73205 | − | 3.00000i | −0.0615846 | − | 0.106668i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.50000 | + | 6.06218i | −0.124289 | + | 0.215274i | ||||
\(794\) | −8.72226 | − | 49.4664i | −0.309541 | − | 1.75550i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −18.7939 | + | 6.84040i | −0.666130 | + | 0.242452i | ||||
\(797\) | −50.4555 | + | 18.3643i | −1.78722 | + | 0.650496i | −0.787823 | + | 0.615902i | \(0.788792\pi\) |
−0.999401 | + | 0.0345940i | \(0.988986\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.25133 | + | 35.4531i | 0.221156 | + | 1.25424i | ||||
\(800\) | 5.19615 | − | 9.00000i | 0.183712 | − | 0.318198i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.5000 | + | 18.1865i | 0.370768 | + | 0.642189i | ||||
\(803\) | −18.5756 | + | 15.5868i | −0.655518 | + | 0.550045i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.08378 | + | 11.8177i | −0.0734435 | + | 0.416519i | ||||
\(806\) | 10.6146 | + | 8.90673i | 0.373884 | + | 0.313726i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.2763 | + | 4.10424i | 0.396699 | + | 0.144387i | ||||
\(809\) | 46.7654 | 1.64418 | 0.822091 | − | 0.569355i | \(-0.192807\pi\) | ||||
0.822091 | + | 0.569355i | \(0.192807\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −16.0000 | −0.561836 | −0.280918 | − | 0.959732i | \(-0.590639\pi\) | ||||
−0.280918 | + | 0.959732i | \(0.590639\pi\) | |||||||
\(812\) | 3.25519 | + | 1.18479i | 0.114235 | + | 0.0415781i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 32.1739 | + | 26.9971i | 1.12769 | + | 0.946247i | ||||
\(815\) | −4.81228 | + | 27.2918i | −0.168567 | + | 0.955990i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.06418 | − | 2.57115i | 0.107202 | − | 0.0899532i | ||||
\(818\) | −16.4545 | − | 28.5000i | −0.575317 | − | 0.996479i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.00000 | + | 10.3923i | −0.209529 | + | 0.362915i | ||||
\(821\) | −2.10537 | − | 11.9402i | −0.0734780 | − | 0.416714i | −0.999253 | − | 0.0386400i | \(-0.987697\pi\) |
0.925775 | − | 0.378074i | \(-0.123414\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 26.3114 | − | 9.57656i | 0.917158 | − | 0.333818i | 0.160050 | − | 0.987109i | \(-0.448834\pi\) |
0.757107 | + | 0.653291i | \(0.226612\pi\) | |||||||
\(824\) | −13.0208 | + | 4.73917i | −0.453600 | + | 0.165097i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.33511 | + | 47.2708i | 0.290016 | + | 1.64476i | ||||
\(827\) | −5.19615 | + | 9.00000i | −0.180688 | + | 0.312961i | −0.942115 | − | 0.335290i | \(-0.891166\pi\) |
0.761427 | + | 0.648251i | \(0.224499\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.00000 | − | 1.73205i | −0.0347314 | − | 0.0601566i | 0.848137 | − | 0.529777i | \(-0.177724\pi\) |
−0.882869 | + | 0.469620i | \(0.844391\pi\) | |||||||
\(830\) | −31.8439 | + | 26.7202i | −1.10532 | + | 0.927471i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.173648 | + | 0.984808i | −0.00602017 | + | 0.0341421i | ||||
\(833\) | 11.9415 | + | 10.0201i | 0.413747 | + | 0.347175i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −28.1908 | − | 10.2606i | −0.975582 | − | 0.355083i | ||||
\(836\) | 6.92820 | 0.239617 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −12.0000 | −0.414533 | ||||||||
\(839\) | −42.3175 | − | 15.4023i | −1.46096 | − | 0.531747i | −0.515332 | − | 0.856991i | \(-0.672331\pi\) |
−0.945630 | + | 0.325244i | \(0.894553\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.9172 | − | 16.7125i | −0.686798 | − | 0.576292i | ||||
\(842\) | 7.51919 | − | 42.6434i | 0.259128 | − | 1.46959i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −7.66044 | + | 6.42788i | −0.263683 | + | 0.221257i | ||||
\(845\) | 10.3923 | + | 18.0000i | 0.357506 | + | 0.619219i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.00000 | + | 1.73205i | −0.0343604 | + | 0.0595140i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 16.9145 | − | 6.15636i | 0.580161 | − | 0.211161i | ||||
\(851\) | −22.7863 | + | 8.29355i | −0.781106 | + | 0.284299i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.90404 | − | 33.4835i | −0.202150 | − | 1.14645i | −0.901861 | − | 0.432026i | \(-0.857799\pi\) |
0.699711 | − | 0.714426i | \(-0.253312\pi\) | |||||||
\(854\) | −12.1244 | + | 21.0000i | −0.414887 | + | 0.718605i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −17.2488 | + | 14.4734i | −0.589207 | + | 0.494403i | −0.887956 | − | 0.459929i | \(-0.847875\pi\) |
0.298749 | + | 0.954332i | \(0.403431\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.64052 | − | 43.3315i | 0.260691 | − | 1.47845i | −0.520339 | − | 0.853960i | \(-0.674194\pi\) |
0.781030 | − | 0.624493i | \(-0.214694\pi\) | |||||||
\(860\) | 2.65366 | + | 2.22668i | 0.0904889 | + | 0.0759292i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −31.1769 | −1.06127 | −0.530637 | − | 0.847599i | \(-0.678047\pi\) | ||||
−0.530637 | + | 0.847599i | \(0.678047\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 33.0000 | 1.12203 | ||||||||
\(866\) | 17.9035 | + | 6.51636i | 0.608387 | + | 0.221435i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 12.2567 | + | 10.2846i | 0.416020 | + | 0.349082i | ||||
\(869\) | 1.20307 | − | 6.82295i | 0.0408113 | − | 0.231453i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.66044 | − | 6.42788i | 0.259564 | − | 0.217800i | ||||
\(872\) | −9.52628 | − | 16.5000i | −0.322601 | − | 0.558761i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −6.00000 | + | 10.3923i | −0.202953 | + | 0.351525i | ||||
\(875\) | −4.21074 | − | 23.8803i | −0.142349 | − | 0.807302i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −49.8037 | + | 18.1271i | −1.68175 | + | 0.612108i | −0.993548 | − | 0.113410i | \(-0.963823\pi\) |
−0.688203 | + | 0.725518i | \(0.741600\pi\) | |||||||
\(878\) | 32.5519 | − | 11.8479i | 1.09857 | − | 0.399848i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.20945 | − | 29.5442i | −0.175610 | − | 0.995936i | ||||
\(881\) | 10.3923 | − | 18.0000i | 0.350126 | − | 0.606435i | −0.636146 | − | 0.771569i | \(-0.719472\pi\) |
0.986271 | + | 0.165134i | \(0.0528056\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.0000 | − | 48.4974i | −0.942275 | − | 1.63207i | −0.761117 | − | 0.648614i | \(-0.775349\pi\) |
−0.181158 | − | 0.983454i | \(-0.557984\pi\) | |||||||
\(884\) | 3.98048 | − | 3.34002i | 0.133878 | − | 0.112337i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.4189 | + | 59.0885i | −0.350029 | + | 1.98512i | ||||
\(887\) | −2.65366 | − | 2.22668i | −0.0891010 | − | 0.0747647i | 0.597149 | − | 0.802130i | \(-0.296300\pi\) |
−0.686250 | + | 0.727366i | \(0.740744\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.75877 | − | 1.36808i | −0.126065 | − | 0.0458839i | ||||
\(890\) | −15.5885 | −0.522526 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.00000 | 0.0669650 | ||||||||
\(893\) | 13.0208 | + | 4.73917i | 0.435723 | + | 0.158590i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −27.5776 | − | 23.1404i | −0.921818 | − | 0.773497i | ||||
\(896\) | −4.21074 | + | 23.8803i | −0.140671 | + | 0.797785i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 27.5776 | − | 23.1404i | 0.920276 | − | 0.772204i | ||||
\(899\) | 6.92820 | + | 12.0000i | 0.231069 | + | 0.400222i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −7.21842 | − | 40.9377i | −0.240347 | − | 1.36308i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.81908 | + | 1.02606i | −0.0937611 | + | 0.0341263i | ||||
\(905\) | −3.25519 | + | 1.18479i | −0.108206 | + | 0.0393838i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −9.02971 | − | 51.2100i | −0.299826 | − | 1.70040i | −0.646910 | − | 0.762566i | \(-0.723939\pi\) |
0.347084 | − | 0.937834i | \(-0.387172\pi\) | |||||||
\(908\) | −1.73205 | + | 3.00000i | −0.0574801 | + | 0.0995585i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.00000 | − | 5.19615i | −0.0994490 | − | 0.172251i | ||||
\(911\) | 18.5756 | − | 15.5868i | 0.615437 | − | 0.516413i | −0.280929 | − | 0.959729i | \(-0.590642\pi\) |
0.896365 | + | 0.443316i | \(0.146198\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.33511 | − | 47.2708i | 0.275852 | − | 1.56443i | ||||
\(914\) | −38.4780 | − | 32.2869i | −1.27274 | − | 1.06796i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.939693 | + | 0.342020i | 0.0310483 | + | 0.0113007i | ||||
\(917\) | −6.92820 | −0.228789 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.00000 | 0.0659739 | 0.0329870 | − | 0.999456i | \(-0.489498\pi\) | ||||
0.0329870 | + | 0.999456i | \(0.489498\pi\) | |||||||
\(920\) | 9.76557 | + | 3.55438i | 0.321961 | + | 0.117184i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −18.3851 | − | 15.4269i | −0.605480 | − | 0.508058i | ||||
\(923\) | −1.80460 | + | 10.2344i | −0.0593993 | + | 0.336870i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.7246 | − | 8.99903i | 0.352623 | − | 0.295886i | ||||
\(926\) | 6.92820 | + | 12.0000i | 0.227675 | + | 0.394344i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.50000 | − | 7.79423i | 0.147720 | − | 0.255858i | ||||
\(929\) | 8.72226 | + | 49.4664i | 0.286168 | + | 1.62294i | 0.701084 | + | 0.713079i | \(0.252700\pi\) |
−0.414916 | + | 0.909860i | \(0.636189\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.63816 | − | 2.05212i | 0.184783 | − | 0.0672555i | ||||
\(932\) | −24.4139 | + | 8.88594i | −0.799705 | + | 0.291069i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.25133 | − | 35.4531i | −0.204550 | − | 1.16006i | ||||
\(935\) | 15.5885 | − | 27.0000i | 0.509797 | − | 0.882994i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.5000 | + | 21.6506i | 0.408357 | + | 0.707295i | 0.994706 | − | 0.102763i | \(-0.0327685\pi\) |
−0.586349 | + | 0.810059i | \(0.699435\pi\) | |||||||
\(938\) | 26.5366 | − | 22.2668i | 0.866449 | − | 0.727037i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.08378 | + | 11.8177i | −0.0679653 | + | 0.385451i | ||||
\(941\) | −38.4780 | − | 32.2869i | −1.25435 | − | 1.05252i | −0.996260 | − | 0.0864006i | \(-0.972464\pi\) |
−0.258087 | − | 0.966122i | \(-0.583092\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.5526 | + | 8.20848i | 0.734414 | + | 0.267305i | ||||
\(944\) | 69.2820 | 2.25494 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.0000 | −0.390154 | ||||||||
\(947\) | 16.2760 | + | 5.92396i | 0.528897 | + | 0.192503i | 0.592646 | − | 0.805463i | \(-0.298083\pi\) |
−0.0637485 | + | 0.997966i | \(0.520306\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.36231 | + | 4.49951i | 0.174068 | + | 0.146060i | ||||
\(950\) | 1.20307 | − | 6.82295i | 0.0390327 | − | 0.221366i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −13.7888 | + | 11.5702i | −0.446898 | + | 0.374992i | ||||
\(953\) | −2.59808 | − | 4.50000i | −0.0841599 | − | 0.145769i | 0.820873 | − | 0.571111i | \(-0.193487\pi\) |
−0.905033 | + | 0.425341i | \(0.860154\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 15.0000 | − | 25.9808i | 0.485389 | − | 0.840718i | ||||
\(956\) | 4.81228 | + | 27.2918i | 0.155640 | + | 0.882680i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 39.4671 | − | 14.3648i | 1.27512 | − | 0.464107i | ||||
\(959\) | 3.25519 | − | 1.18479i | 0.105116 | − | 0.0382589i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.73039 | + | 32.4987i | 0.184851 | + | 1.04834i | ||||
\(962\) | 6.06218 | − | 10.5000i | 0.195452 | − | 0.338534i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −14.5000 | − | 25.1147i | −0.467014 | − | 0.808891i | ||||
\(965\) | −1.32683 | + | 1.11334i | −0.0427121 | + | 0.0358397i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −7.98782 | + | 45.3012i | −0.256871 | + | 1.45679i | 0.534354 | + | 0.845261i | \(0.320555\pi\) |
−0.791224 | + | 0.611526i | \(0.790556\pi\) | |||||||
\(968\) | 1.32683 | + | 1.11334i | 0.0426459 | + | 0.0357841i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.63816 | + | 2.05212i | 0.181030 | + | 0.0658896i | ||||
\(971\) | −31.1769 | −1.00051 | −0.500257 | − | 0.865877i | \(-0.666761\pi\) | ||||
−0.500257 | + | 0.865877i | \(0.666761\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 16.0000 | 0.512936 | ||||||||
\(974\) | −26.0415 | − | 9.47834i | −0.834424 | − | 0.303706i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 26.8116 | + | 22.4976i | 0.858217 | + | 0.720130i | ||||
\(977\) | 8.42149 | − | 47.7606i | 0.269427 | − | 1.52800i | −0.486697 | − | 0.873571i | \(-0.661799\pi\) |
0.756125 | − | 0.654428i | \(-0.227090\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 13.7888 | − | 11.5702i | 0.440692 | − | 0.369784i | ||||
\(980\) | 2.59808 | + | 4.50000i | 0.0829925 | + | 0.143747i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 15.0000 | − | 25.9808i | 0.478669 | − | 0.829079i | ||||
\(983\) | 6.01535 | + | 34.1147i | 0.191860 | + | 1.08809i | 0.916820 | + | 0.399301i | \(0.130747\pi\) |
−0.724960 | + | 0.688791i | \(0.758142\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.45723 | + | 3.07818i | −0.269470 | + | 0.0980790i | ||||
\(986\) | 14.6484 | − | 5.33157i | 0.466499 | − | 0.169792i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.347296 | − | 1.96962i | −0.0110490 | − | 0.0626618i | ||||
\(989\) | 3.46410 | − | 6.00000i | 0.110152 | − | 0.190789i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.0000 | + | 29.4449i | 0.540023 | + | 0.935347i | 0.998902 | + | 0.0468483i | \(0.0149177\pi\) |
−0.458879 | + | 0.888499i | \(0.651749\pi\) | |||||||
\(992\) | 31.8439 | − | 26.7202i | 1.01104 | − | 0.848367i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −6.25133 | + | 35.4531i | −0.198280 | + | 1.12450i | ||||
\(995\) | 26.5366 | + | 22.2668i | 0.841265 | + | 0.705906i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.57785 | + | 2.39414i | 0.208323 | + | 0.0758232i | 0.444074 | − | 0.895990i | \(-0.353533\pi\) |
−0.235751 | + | 0.971813i | \(0.575755\pi\) | |||||||
\(998\) | 17.3205 | 0.548271 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))