Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [387,2,Mod(208,387)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(387, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("387.208");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 387 = 3^{2} \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 387.h (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: | \(3.09021055822\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 11x^{10} + 89x^{8} + 314x^{6} + 815x^{4} + 608x^{2} + 361 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 307.1 | ||
Root | \(1.28149 + 2.21960i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 387.307 |
Dual form | 387.2.h.g.208.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/387\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(173\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.56298 | −1.81230 | −0.906149 | − | 0.422958i | \(-0.860992\pi\) | ||||
−0.906149 | + | 0.422958i | \(0.860992\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.56885 | 2.28442 | ||||||||
\(5\) | −0.440037 | + | 0.762166i | −0.196790 | + | 0.340851i | −0.947486 | − | 0.319797i | \(-0.896385\pi\) |
0.750696 | + | 0.660648i | \(0.229719\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.627804 | − | 1.08739i | −0.237288 | − | 0.410994i | 0.722647 | − | 0.691217i | \(-0.242925\pi\) |
−0.959935 | + | 0.280222i | \(0.909592\pi\) | |||||||
\(8\) | −6.58390 | −2.32776 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.12780 | − | 1.95341i | 0.356643 | − | 0.617724i | ||||
\(11\) | 4.90100 | 1.47771 | 0.738853 | − | 0.673866i | \(-0.235368\pi\) | ||||
0.738853 | + | 0.673866i | \(0.235368\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.171690 | − | 0.297375i | −0.0476182 | − | 0.0824771i | 0.841234 | − | 0.540671i | \(-0.181830\pi\) |
−0.888852 | + | 0.458194i | \(0.848496\pi\) | |||||||
\(14\) | 1.60905 | + | 2.78695i | 0.430036 | + | 0.744844i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 7.73669 | 1.93417 | ||||||||
\(17\) | −2.45050 | − | 4.24439i | −0.594333 | − | 1.02942i | −0.993641 | − | 0.112598i | \(-0.964083\pi\) |
0.399307 | − | 0.916817i | \(-0.369251\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.19665 | + | 3.80472i | −0.503947 | + | 0.872862i | 0.496043 | + | 0.868298i | \(0.334786\pi\) |
−0.999990 | + | 0.00456360i | \(0.998547\pi\) | |||||||
\(20\) | −2.01046 | + | 3.48222i | −0.449553 | + | 0.778649i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −12.5611 | −2.67805 | ||||||||
\(23\) | 1.72153 | − | 2.98177i | 0.358963 | − | 0.621742i | −0.628825 | − | 0.777547i | \(-0.716464\pi\) |
0.987788 | + | 0.155805i | \(0.0497971\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.11274 | + | 3.65936i | 0.422547 | + | 0.731873i | ||||
\(26\) | 0.440037 | + | 0.762166i | 0.0862983 | + | 0.149473i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.86834 | − | 4.96812i | −0.542066 | − | 0.938886i | ||||
\(29\) | 2.52435 | + | 4.37231i | 0.468761 | + | 0.811918i | 0.999362 | − | 0.0357038i | \(-0.0113673\pi\) |
−0.530602 | + | 0.847621i | \(0.678034\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.08392 | − | 3.60945i | 0.374283 | − | 0.648277i | −0.615937 | − | 0.787796i | \(-0.711222\pi\) |
0.990219 | + | 0.139519i | \(0.0445556\pi\) | |||||||
\(32\) | −6.66115 | −1.17754 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.28057 | + | 10.8783i | 1.07711 | + | 1.86561i | ||||
\(35\) | 1.10503 | 0.186784 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.86834 | − | 10.1643i | 0.964750 | − | 1.67100i | 0.254464 | − | 0.967082i | \(-0.418101\pi\) |
0.710286 | − | 0.703913i | \(-0.248566\pi\) | |||||||
\(38\) | 5.62997 | − | 9.75140i | 0.913302 | − | 1.58189i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.89716 | − | 5.01803i | 0.458081 | − | 0.793420i | ||||
\(41\) | 4.82375 | 0.753344 | 0.376672 | − | 0.926347i | \(-0.377068\pi\) | ||||
0.376672 | + | 0.926347i | \(0.377068\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.76936 | + | 3.11682i | 0.879818 | + | 0.475310i | ||||
\(44\) | 22.3919 | 3.37571 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.41223 | + | 7.64221i | −0.650548 | + | 1.12678i | ||||
\(47\) | 11.7099 | 1.70806 | 0.854029 | − | 0.520225i | \(-0.174152\pi\) | ||||
0.854029 | + | 0.520225i | \(0.174152\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.71172 | − | 4.69684i | 0.387389 | − | 0.670978i | ||||
\(50\) | −5.41489 | − | 9.37887i | −0.765781 | − | 1.32637i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.784425 | − | 1.35866i | −0.108780 | − | 0.188413i | ||||
\(53\) | −0.401415 | + | 0.695270i | −0.0551385 | + | 0.0955027i | −0.892277 | − | 0.451488i | \(-0.850893\pi\) |
0.837139 | + | 0.546991i | \(0.184227\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.15662 | + | 3.73538i | −0.290799 | + | 0.503678i | ||||
\(56\) | 4.13340 | + | 7.15926i | 0.552349 | + | 0.956697i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.46986 | − | 11.2061i | −0.849534 | − | 1.47144i | ||||
\(59\) | −3.79597 | −0.494193 | −0.247097 | − | 0.968991i | \(-0.579477\pi\) | ||||
−0.247097 | + | 0.968991i | \(0.579477\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.26936 | + | 7.39474i | 0.546635 | + | 0.946800i | 0.998502 | + | 0.0547142i | \(0.0174248\pi\) |
−0.451867 | + | 0.892085i | \(0.649242\pi\) | |||||||
\(62\) | −5.34104 | + | 9.25095i | −0.678312 | + | 1.17487i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.59899 | 0.199874 | ||||||||
\(65\) | 0.302199 | 0.0374832 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.685436 | − | 1.18721i | 0.0837394 | − | 0.145041i | −0.821114 | − | 0.570764i | \(-0.806647\pi\) |
0.904853 | + | 0.425723i | \(0.139980\pi\) | |||||||
\(68\) | −11.1960 | − | 19.3920i | −1.35771 | − | 2.35162i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.83216 | −0.338508 | ||||||||
\(71\) | 1.45795 | + | 2.52524i | 0.173027 | + | 0.299691i | 0.939477 | − | 0.342613i | \(-0.111312\pi\) |
−0.766450 | + | 0.642304i | \(0.777979\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.08392 | + | 3.60945i | 0.243904 | + | 0.422455i | 0.961823 | − | 0.273672i | \(-0.0882384\pi\) |
−0.717919 | + | 0.696127i | \(0.754905\pi\) | |||||||
\(74\) | −15.0404 | + | 26.0508i | −1.74841 | + | 3.02834i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.0362 | + | 17.3832i | −1.15123 | + | 1.99399i | ||||
\(77\) | −3.07687 | − | 5.32929i | −0.350642 | − | 0.607329i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.46601 | − | 12.9315i | −0.839992 | − | 1.45491i | −0.889901 | − | 0.456155i | \(-0.849226\pi\) |
0.0499089 | − | 0.998754i | \(-0.484107\pi\) | |||||||
\(80\) | −3.40443 | + | 5.89664i | −0.380627 | + | 0.659265i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −12.3632 | −1.36528 | ||||||||
\(83\) | −5.26379 | + | 9.11715i | −0.577776 | + | 1.00074i | 0.417958 | + | 0.908466i | \(0.362746\pi\) |
−0.995734 | + | 0.0922712i | \(0.970587\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 4.31324 | 0.467837 | ||||||||
\(86\) | −14.7867 | − | 7.98833i | −1.59449 | − | 0.861403i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −32.2677 | −3.43975 | ||||||||
\(89\) | 8.04185 | − | 13.9289i | 0.852434 | − | 1.47646i | −0.0265705 | − | 0.999647i | \(-0.508459\pi\) |
0.879005 | − | 0.476813i | \(-0.158208\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.215575 | + | 0.373387i | −0.0225984 | + | 0.0391416i | ||||
\(92\) | 7.86539 | − | 13.6233i | 0.820024 | − | 1.42032i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −30.0121 | −3.09551 | ||||||||
\(95\) | −1.93322 | − | 3.34843i | −0.198344 | − | 0.343542i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.48108 | −0.658054 | −0.329027 | − | 0.944321i | \(-0.606721\pi\) | ||||
−0.329027 | + | 0.944321i | \(0.606721\pi\) | |||||||
\(98\) | −6.95008 | + | 12.0379i | −0.702064 | + | 1.21601i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.65277 | + | 16.7191i | 0.965277 | + | 1.67191i | ||||
\(101\) | 5.93217 | + | 10.2748i | 0.590273 | + | 1.02238i | 0.994195 | + | 0.107590i | \(0.0343133\pi\) |
−0.403922 | + | 0.914793i | \(0.632353\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.52111 | + | 11.2949i | 0.642544 | + | 1.11292i | 0.984863 | + | 0.173335i | \(0.0554545\pi\) |
−0.342319 | + | 0.939584i | \(0.611212\pi\) | |||||||
\(104\) | 1.13039 | + | 1.95789i | 0.110844 | + | 0.191987i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.02882 | − | 1.78196i | 0.0999274 | − | 0.173079i | ||||
\(107\) | −11.4342 | −1.10538 | −0.552692 | − | 0.833386i | \(-0.686399\pi\) | ||||
−0.552692 | + | 0.833386i | \(0.686399\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.05125 | − | 15.6772i | 0.866953 | − | 1.50161i | 0.00185741 | − | 0.999998i | \(-0.499409\pi\) |
0.865095 | − | 0.501608i | \(-0.167258\pi\) | |||||||
\(110\) | 5.52737 | − | 9.57368i | 0.527014 | − | 0.912815i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.85713 | − | 8.41279i | −0.458955 | − | 0.794934i | ||||
\(113\) | −1.40723 | −0.132381 | −0.0661904 | − | 0.997807i | \(-0.521084\pi\) | ||||
−0.0661904 | + | 0.997807i | \(0.521084\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.51507 | + | 2.62418i | 0.141281 | + | 0.244706i | ||||
\(116\) | 11.5334 | + | 19.9764i | 1.07085 | + | 1.85476i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.72898 | 0.895626 | ||||||||
\(119\) | −3.07687 | + | 5.32929i | −0.282056 | + | 0.488535i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 13.0198 | 1.18362 | ||||||||
\(122\) | −10.9423 | − | 18.9525i | −0.990666 | − | 1.71588i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.52111 | − | 16.4911i | 0.855021 | − | 1.48094i | ||||
\(125\) | −8.11909 | −0.726194 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.04993 | −0.803051 | −0.401526 | − | 0.915848i | \(-0.631520\pi\) | ||||
−0.401526 | + | 0.915848i | \(0.631520\pi\) | |||||||
\(128\) | 9.22412 | 0.815305 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.774530 | −0.0679308 | ||||||||
\(131\) | −18.1460 | −1.58543 | −0.792714 | − | 0.609594i | \(-0.791332\pi\) | ||||
−0.792714 | + | 0.609594i | \(0.791332\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.51628 | 0.478322 | ||||||||
\(134\) | −1.75676 | + | 3.04279i | −0.151761 | + | 0.262857i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 16.1338 | + | 27.9446i | 1.38347 | + | 2.39623i | ||||
\(137\) | −15.3779 | −1.31382 | −0.656910 | − | 0.753969i | \(-0.728137\pi\) | ||||
−0.656910 | + | 0.753969i | \(0.728137\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.42212 | + | 14.5875i | −0.714355 | + | 1.23730i | 0.248852 | + | 0.968541i | \(0.419947\pi\) |
−0.963208 | + | 0.268758i | \(0.913387\pi\) | |||||||
\(140\) | 5.04871 | 0.426694 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.73669 | − | 6.47213i | −0.313576 | − | 0.543129i | ||||
\(143\) | −0.841451 | − | 1.45744i | −0.0703657 | − | 0.121877i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.44324 | −0.368991 | ||||||||
\(146\) | −5.34104 | − | 9.25095i | −0.442027 | − | 0.765614i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 26.8116 | − | 46.4390i | 2.20390 | − | 3.81726i | ||||
\(149\) | −0.866812 | + | 1.50136i | −0.0710120 | + | 0.122996i | −0.899345 | − | 0.437240i | \(-0.855956\pi\) |
0.828333 | + | 0.560236i | \(0.189290\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.66432 | −0.135441 | −0.0677204 | − | 0.997704i | \(-0.521573\pi\) | ||||
−0.0677204 | + | 0.997704i | \(0.521573\pi\) | |||||||
\(152\) | 14.4626 | − | 25.0499i | 1.17307 | − | 2.03181i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.88594 | + | 13.6589i | 0.635467 | + | 1.10066i | ||||
\(155\) | 1.83400 | + | 3.17659i | 0.147311 | + | 0.255149i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.86834 | + | 8.43222i | 0.388536 | + | 0.672964i | 0.992253 | − | 0.124235i | \(-0.0396475\pi\) |
−0.603717 | + | 0.797199i | \(0.706314\pi\) | |||||||
\(158\) | 19.1352 | + | 33.1432i | 1.52232 | + | 2.63673i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.93115 | − | 5.07690i | 0.231728 | − | 0.401364i | ||||
\(161\) | −4.32312 | −0.340710 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.25176 | − | 7.36426i | −0.333023 | − | 0.576813i | 0.650080 | − | 0.759866i | \(-0.274735\pi\) |
−0.983103 | + | 0.183053i | \(0.941402\pi\) | |||||||
\(164\) | 22.0390 | 1.72096 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 13.4910 | − | 23.3671i | 1.04710 | − | 1.81363i | ||||
\(167\) | −2.08771 | + | 3.61602i | −0.161552 | + | 0.279816i | −0.935425 | − | 0.353524i | \(-0.884983\pi\) |
0.773874 | + | 0.633340i | \(0.218317\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.44105 | − | 11.1562i | 0.495465 | − | 0.858171i | ||||
\(170\) | −11.0547 | −0.847860 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 26.3593 | + | 14.2403i | 2.00988 | + | 1.08581i | ||||
\(173\) | 9.89899 | 0.752606 | 0.376303 | − | 0.926497i | \(-0.377195\pi\) | ||||
0.376303 | + | 0.926497i | \(0.377195\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.65277 | − | 4.59473i | 0.200530 | − | 0.347329i | ||||
\(176\) | 37.9175 | 2.85814 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −20.6111 | + | 35.6994i | −1.54487 | + | 2.67579i | ||||
\(179\) | −1.28149 | − | 2.21960i | −0.0957829 | − | 0.165901i | 0.814152 | − | 0.580652i | \(-0.197202\pi\) |
−0.909935 | + | 0.414751i | \(0.863869\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.9471 | + | 18.9609i | 0.813691 | + | 1.40935i | 0.910264 | + | 0.414028i | \(0.135878\pi\) |
−0.0965736 | + | 0.995326i | \(0.530788\pi\) | |||||||
\(182\) | 0.552514 | − | 0.956983i | 0.0409551 | − | 0.0709363i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −11.3344 | + | 19.6317i | −0.835580 | + | 1.44727i | ||||
\(185\) | 5.16458 | + | 8.94531i | 0.379707 | + | 0.657672i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −12.0099 | − | 20.8017i | −0.878250 | − | 1.52117i | ||||
\(188\) | 53.5006 | 3.90193 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.95479 | + | 8.58195i | 0.359458 | + | 0.622600i | ||||
\(191\) | 8.78409 | − | 15.2145i | 0.635594 | − | 1.10088i | −0.350795 | − | 0.936452i | \(-0.614089\pi\) |
0.986389 | − | 0.164429i | \(-0.0525782\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.33568 | −0.671997 | −0.335998 | − | 0.941863i | \(-0.609074\pi\) | ||||
−0.335998 | + | 0.941863i | \(0.609074\pi\) | |||||||
\(194\) | 16.6109 | 1.19259 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 12.3895 | − | 21.4592i | 0.884961 | − | 1.53280i | ||||
\(197\) | −6.23098 | − | 10.7924i | −0.443939 | − | 0.768925i | 0.554039 | − | 0.832491i | \(-0.313086\pi\) |
−0.997978 | + | 0.0635660i | \(0.979753\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.11021 | 0.362253 | 0.181126 | − | 0.983460i | \(-0.442026\pi\) | ||||
0.181126 | + | 0.983460i | \(0.442026\pi\) | |||||||
\(200\) | −13.9100 | − | 24.0929i | −0.983588 | − | 1.70362i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.2040 | − | 26.3341i | −1.06975 | − | 1.85286i | ||||
\(203\) | 3.16960 | − | 5.48991i | 0.222462 | − | 0.385316i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.12263 | + | 3.67650i | −0.148251 | + | 0.256778i | ||||
\(206\) | −16.7135 | − | 28.9486i | −1.16448 | − | 2.01694i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.32831 | − | 2.30070i | −0.0921017 | − | 0.159525i | ||||
\(209\) | −10.7658 | + | 18.6469i | −0.744686 | + | 1.28983i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.2831 | −0.707918 | −0.353959 | − | 0.935261i | \(-0.615165\pi\) | ||||
−0.353959 | + | 0.935261i | \(0.615165\pi\) | |||||||
\(212\) | −1.83400 | + | 3.17659i | −0.125960 | + | 0.218169i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 29.3055 | 2.00329 | ||||||||
\(215\) | −4.91426 | + | 3.02569i | −0.335150 | + | 0.206351i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.23317 | −0.355251 | ||||||||
\(218\) | −23.1981 | + | 40.1804i | −1.57118 | + | 2.72136i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −9.85327 | + | 17.0664i | −0.664308 | + | 1.15061i | ||||
\(221\) | −0.841451 | + | 1.45744i | −0.0566021 | + | 0.0980378i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −21.3434 | −1.42926 | −0.714629 | − | 0.699503i | \(-0.753405\pi\) | ||||
−0.714629 | + | 0.699503i | \(0.753405\pi\) | |||||||
\(224\) | 4.18190 | + | 7.24326i | 0.279415 | + | 0.483961i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.60669 | 0.239914 | ||||||||
\(227\) | 7.61169 | − | 13.1838i | 0.505205 | − | 0.875041i | −0.494777 | − | 0.869020i | \(-0.664750\pi\) |
0.999982 | − | 0.00602103i | \(-0.00191656\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.96986 | + | 13.8042i | 0.526663 | + | 0.912208i | 0.999517 | + | 0.0310668i | \(0.00989045\pi\) |
−0.472854 | + | 0.881141i | \(0.656776\pi\) | |||||||
\(230\) | −3.88309 | − | 6.72570i | −0.256043 | − | 0.443480i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.6201 | − | 28.7869i | −1.09116 | − | 1.88995i | ||||
\(233\) | 5.11608 | + | 8.86131i | 0.335166 | + | 0.580524i | 0.983517 | − | 0.180818i | \(-0.0578744\pi\) |
−0.648351 | + | 0.761342i | \(0.724541\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.15277 | + | 8.92486i | −0.336130 | + | 0.582193i | ||||
\(236\) | −17.3432 | −1.12895 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 7.88594 | − | 13.6589i | 0.511170 | − | 0.885372i | ||||
\(239\) | 3.15411 | − | 5.46308i | 0.204023 | − | 0.353378i | −0.745798 | − | 0.666172i | \(-0.767932\pi\) |
0.949821 | + | 0.312794i | \(0.101265\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.15277 | − | 7.19281i | −0.267503 | − | 0.463329i | 0.700713 | − | 0.713443i | \(-0.252865\pi\) |
−0.968216 | + | 0.250114i | \(0.919532\pi\) | |||||||
\(242\) | −33.3694 | −2.14507 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 19.5060 | + | 33.7855i | 1.24875 | + | 2.16289i | ||||
\(245\) | 2.38652 | + | 4.13357i | 0.152469 | + | 0.264084i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.50857 | 0.0959882 | ||||||||
\(248\) | −13.7203 | + | 23.7643i | −0.871241 | + | 1.50903i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 20.8091 | 1.31608 | ||||||||
\(251\) | −8.16420 | − | 14.1408i | −0.515320 | − | 0.892560i | −0.999842 | − | 0.0177809i | \(-0.994340\pi\) |
0.484522 | − | 0.874779i | \(-0.338993\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.43719 | − | 14.6136i | 0.530442 | − | 0.918752i | ||||
\(254\) | 23.1948 | 1.45537 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −26.8392 | −1.67745 | ||||||||
\(257\) | −12.2945 | −0.766910 | −0.383455 | − | 0.923559i | \(-0.625266\pi\) | ||||
−0.383455 | + | 0.923559i | \(0.625266\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −14.7367 | −0.915693 | ||||||||
\(260\) | 1.38070 | 0.0856276 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 46.5079 | 2.87327 | ||||||||
\(263\) | −10.9555 | + | 18.9755i | −0.675546 | + | 1.17008i | 0.300763 | + | 0.953699i | \(0.402759\pi\) |
−0.976309 | + | 0.216382i | \(0.930574\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.353274 | − | 0.611889i | −0.0217015 | − | 0.0375881i | ||||
\(266\) | −14.1381 | −0.866862 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.13166 | − | 5.42419i | 0.191296 | − | 0.331335i | ||||
\(269\) | −14.1183 | −0.860811 | −0.430405 | − | 0.902636i | \(-0.641629\pi\) | ||||
−0.430405 | + | 0.902636i | \(0.641629\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.245714 | + | 0.425589i | 0.0149261 | + | 0.0258527i | 0.873392 | − | 0.487018i | \(-0.161915\pi\) |
−0.858466 | + | 0.512871i | \(0.828582\pi\) | |||||||
\(272\) | −18.9587 | − | 32.8375i | −1.14954 | − | 1.99107i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 39.4131 | 2.38103 | ||||||||
\(275\) | 10.3545 | + | 17.9345i | 0.624401 | + | 1.08149i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.97504 | − | 3.42086i | 0.118668 | − | 0.205540i | −0.800572 | − | 0.599237i | \(-0.795471\pi\) |
0.919240 | + | 0.393697i | \(0.128804\pi\) | |||||||
\(278\) | 21.5857 | − | 37.3875i | 1.29462 | − | 2.24236i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.27540 | −0.434788 | ||||||||
\(281\) | 6.78350 | − | 11.7494i | 0.404669 | − | 0.700908i | −0.589613 | − | 0.807686i | \(-0.700720\pi\) |
0.994283 | + | 0.106777i | \(0.0340533\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.95094 | − | 8.57528i | −0.294303 | − | 0.509747i | 0.680520 | − | 0.732730i | \(-0.261754\pi\) |
−0.974822 | + | 0.222982i | \(0.928421\pi\) | |||||||
\(284\) | 6.66115 | + | 11.5374i | 0.395266 | + | 0.684621i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.15662 | + | 3.73538i | 0.127524 | + | 0.220877i | ||||
\(287\) | −3.02837 | − | 5.24530i | −0.178759 | − | 0.309620i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.50989 | + | 6.07932i | −0.206464 | + | 0.357607i | ||||
\(290\) | 11.3879 | 0.668721 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 9.52111 | + | 16.4911i | 0.557181 | + | 0.965066i | ||||
\(293\) | 29.4325 | 1.71947 | 0.859733 | − | 0.510744i | \(-0.170630\pi\) | ||||
0.859733 | + | 0.510744i | \(0.170630\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.67037 | − | 2.89316i | 0.0972525 | − | 0.168446i | ||||
\(296\) | −38.6366 | + | 66.9206i | −2.24571 | + | 3.88968i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.22162 | − | 3.84796i | 0.128695 | − | 0.222906i | ||||
\(299\) | −1.18227 | −0.0683726 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.232836 | − | 8.23028i | −0.0134204 | − | 0.474386i | ||||
\(302\) | 4.26562 | 0.245459 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −16.9948 | + | 29.4359i | −0.974720 | + | 1.68826i | ||||
\(305\) | −7.51470 | −0.430290 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.79564 | + | 13.5024i | −0.444921 | + | 0.770625i | −0.998047 | − | 0.0624722i | \(-0.980102\pi\) |
0.553126 | + | 0.833098i | \(0.313435\pi\) | |||||||
\(308\) | −14.0577 | − | 24.3487i | −0.801015 | − | 1.38740i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.70051 | − | 8.14151i | −0.266971 | − | 0.462407i | ||||
\(311\) | −7.68893 | + | 13.3176i | −0.435999 | + | 0.755173i | −0.997377 | − | 0.0723871i | \(-0.976938\pi\) |
0.561377 | + | 0.827560i | \(0.310272\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.94622 | + | 5.10300i | −0.166530 | + | 0.288439i | −0.937198 | − | 0.348799i | \(-0.886590\pi\) |
0.770667 | + | 0.637238i | \(0.219923\pi\) | |||||||
\(314\) | −12.4775 | − | 21.6116i | −0.704143 | − | 1.21961i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −34.1111 | − | 59.0821i | −1.91890 | − | 3.32363i | ||||
\(317\) | −15.2809 | −0.858259 | −0.429130 | − | 0.903243i | \(-0.641180\pi\) | ||||
−0.429130 | + | 0.903243i | \(0.641180\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 12.3719 | + | 21.4287i | 0.692691 | + | 1.19978i | ||||
\(320\) | −0.703614 | + | 1.21870i | −0.0393332 | + | 0.0681271i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 11.0801 | 0.617468 | ||||||||
\(323\) | 21.5316 | 1.19805 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.725470 | − | 1.25655i | 0.0402418 | − | 0.0697009i | ||||
\(326\) | 10.8972 | + | 18.8744i | 0.603538 | + | 1.04536i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −31.7591 | −1.75360 | ||||||||
\(329\) | −7.35150 | − | 12.7332i | −0.405301 | − | 0.702002i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.70919 | + | 13.3527i | 0.423736 | + | 0.733932i | 0.996301 | − | 0.0859271i | \(-0.0273852\pi\) |
−0.572566 | + | 0.819859i | \(0.694052\pi\) | |||||||
\(332\) | −24.0495 | + | 41.6549i | −1.31989 | + | 2.28611i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.35075 | − | 9.26776i | 0.292780 | − | 0.507109i | ||||
\(335\) | 0.603235 | + | 1.04483i | 0.0329582 | + | 0.0570853i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.45226 | + | 12.9077i | 0.405951 | + | 0.703127i | 0.994432 | − | 0.105384i | \(-0.0336072\pi\) |
−0.588481 | + | 0.808511i | \(0.700274\pi\) | |||||||
\(338\) | −16.5082 | + | 28.5931i | −0.897930 | + | 1.55526i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 19.7065 | 1.06874 | ||||||||
\(341\) | 10.2133 | − | 17.6899i | 0.553080 | − | 0.957963i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.5990 | −0.842266 | ||||||||
\(344\) | −37.9849 | − | 20.5208i | −2.04801 | − | 1.10641i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −25.3709 | −1.36395 | ||||||||
\(347\) | 4.68931 | − | 8.12212i | 0.251735 | − | 0.436018i | −0.712268 | − | 0.701907i | \(-0.752332\pi\) |
0.964004 | + | 0.265889i | \(0.0856655\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.5900 | − | 20.0744i | 0.620396 | − | 1.07456i | −0.369015 | − | 0.929423i | \(-0.620305\pi\) |
0.989412 | − | 0.145135i | \(-0.0463616\pi\) | |||||||
\(350\) | −6.79898 | + | 11.7762i | −0.363421 | + | 0.629464i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −32.6463 | −1.74005 | ||||||||
\(353\) | 16.3825 | + | 28.3753i | 0.871953 | + | 1.51027i | 0.859974 | + | 0.510339i | \(0.170480\pi\) |
0.0119795 | + | 0.999928i | \(0.496187\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.56620 | −0.136200 | ||||||||
\(356\) | 36.7420 | − | 63.6390i | 1.94732 | − | 3.37286i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.28442 | + | 5.68879i | 0.173587 | + | 0.300662i | ||||
\(359\) | 7.55109 | + | 13.0789i | 0.398531 | + | 0.690277i | 0.993545 | − | 0.113439i | \(-0.0361867\pi\) |
−0.595014 | + | 0.803716i | \(0.702853\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.150577 | − | 0.260808i | −0.00792513 | − | 0.0137267i | ||||
\(362\) | −28.0571 | − | 48.5964i | −1.47465 | − | 2.55417i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.984931 | + | 1.70595i | −0.0516244 | + | 0.0894161i | ||||
\(365\) | −3.66801 | −0.191992 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.7479 | + | 20.3480i | −0.613236 | + | 1.06216i | 0.377456 | + | 0.926028i | \(0.376799\pi\) |
−0.990691 | + | 0.136128i | \(0.956534\pi\) | |||||||
\(368\) | 13.3189 | − | 23.0690i | 0.694296 | − | 1.20256i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −13.2367 | − | 22.9266i | −0.688143 | − | 1.19190i | ||||
\(371\) | 1.00804 | 0.0523348 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −10.8442 | − | 18.7828i | −0.561494 | − | 0.972536i | −0.997366 | − | 0.0725275i | \(-0.976893\pi\) |
0.435873 | − | 0.900008i | \(-0.356440\pi\) | |||||||
\(374\) | 30.7811 | + | 53.3144i | 1.59165 | + | 2.75682i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −77.0965 | −3.97595 | ||||||||
\(377\) | 0.866812 | − | 1.50136i | 0.0446431 | − | 0.0773241i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −27.1524 | −1.39473 | −0.697363 | − | 0.716718i | \(-0.745644\pi\) | ||||
−0.697363 | + | 0.716718i | \(0.745644\pi\) | |||||||
\(380\) | −8.83258 | − | 15.2985i | −0.453102 | − | 0.784795i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −22.5134 | + | 38.9944i | −1.15189 | + | 1.99513i | ||||
\(383\) | 1.70265 | 0.0870012 | 0.0435006 | − | 0.999053i | \(-0.486149\pi\) | ||||
0.0435006 | + | 0.999053i | \(0.486149\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.41574 | 0.276012 | ||||||||
\(386\) | 23.9271 | 1.21786 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −29.6111 | −1.50327 | ||||||||
\(389\) | 27.8708 | 1.41311 | 0.706553 | − | 0.707660i | \(-0.250249\pi\) | ||||
0.706553 | + | 0.707660i | \(0.250249\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −16.8744 | −0.853374 | ||||||||
\(392\) | −17.8537 | + | 30.9236i | −0.901749 | + | 1.56188i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 15.9699 | + | 27.6606i | 0.804550 | + | 1.39352i | ||||
\(395\) | 13.1413 | 0.661210 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.08392 | − | 10.5377i | 0.305343 | − | 0.528870i | −0.671995 | − | 0.740556i | \(-0.734562\pi\) |
0.977338 | + | 0.211686i | \(0.0678955\pi\) | |||||||
\(398\) | −13.0973 | −0.656510 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 16.3456 | + | 28.3114i | 0.817279 | + | 1.41557i | ||||
\(401\) | −12.6925 | − | 21.9841i | −0.633835 | − | 1.09783i | −0.986761 | − | 0.162183i | \(-0.948147\pi\) |
0.352926 | − | 0.935651i | \(-0.385187\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.43115 | −0.0712907 | ||||||||
\(404\) | 27.1032 | + | 46.9441i | 1.34843 | + | 2.33556i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.12361 | + | 14.0705i | −0.403168 | + | 0.698308i | ||||
\(407\) | 28.7607 | − | 49.8151i | 1.42562 | − | 2.46924i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −24.0972 | −1.19153 | −0.595765 | − | 0.803159i | \(-0.703151\pi\) | ||||
−0.595765 | + | 0.803159i | \(0.703151\pi\) | |||||||
\(410\) | 5.44025 | − | 9.42279i | 0.268675 | − | 0.465358i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 29.7940 | + | 51.6047i | 1.46784 | + | 2.54238i | ||||
\(413\) | 2.38313 | + | 4.12770i | 0.117266 | + | 0.203111i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.63252 | − | 8.02377i | −0.227402 | − | 0.393871i | ||||
\(416\) | 1.14365 | + | 1.98086i | 0.0560721 | + | 0.0971197i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 27.5925 | − | 47.7916i | 1.34959 | − | 2.33756i | ||||
\(419\) | 16.7851 | 0.820005 | 0.410003 | − | 0.912084i | \(-0.365528\pi\) | ||||
0.410003 | + | 0.912084i | \(0.365528\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.74658 | + | 13.4175i | 0.377545 | + | 0.653928i | 0.990704 | − | 0.136032i | \(-0.0434349\pi\) |
−0.613159 | + | 0.789959i | \(0.710102\pi\) | |||||||
\(422\) | 26.3554 | 1.28296 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.64287 | − | 4.57759i | 0.128349 | − | 0.222307i | ||||
\(425\) | 10.3545 | − | 17.9345i | 0.502268 | − | 0.869953i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.36064 | − | 9.28490i | 0.259420 | − | 0.449328i | ||||
\(428\) | −52.2410 | −2.52517 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.5951 | − | 7.75478i | 0.607391 | − | 0.373969i | ||||
\(431\) | −6.63462 | −0.319579 | −0.159789 | − | 0.987151i | \(-0.551081\pi\) | ||||
−0.159789 | + | 0.987151i | \(0.551081\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.99747 | + | 10.3879i | −0.288220 | + | 0.499212i | −0.973385 | − | 0.229176i | \(-0.926397\pi\) |
0.685165 | + | 0.728388i | \(0.259730\pi\) | |||||||
\(434\) | 13.4125 | 0.643821 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 41.3538 | − | 71.6269i | 1.98049 | − | 3.43031i | ||||
\(437\) | 7.56319 | + | 13.0998i | 0.361796 | + | 0.626650i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.87439 | − | 15.3709i | −0.423551 | − | 0.733612i | 0.572733 | − | 0.819742i | \(-0.305883\pi\) |
−0.996284 | + | 0.0861298i | \(0.972550\pi\) | |||||||
\(440\) | 14.1990 | − | 24.5933i | 0.676910 | − | 1.17244i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.15662 | − | 3.73538i | 0.102580 | − | 0.177674i | ||||
\(443\) | 15.9944 | + | 27.7030i | 0.759915 | + | 1.31621i | 0.942894 | + | 0.333094i | \(0.108093\pi\) |
−0.182979 | + | 0.983117i | \(0.558574\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.07742 | + | 12.2585i | 0.335502 | + | 0.581106i | ||||
\(446\) | 54.7026 | 2.59024 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.00385 | − | 1.73872i | −0.0474275 | − | 0.0821469i | ||||
\(449\) | 11.5334 | − | 19.9764i | 0.544295 | − | 0.942746i | −0.454356 | − | 0.890820i | \(-0.650131\pi\) |
0.998651 | − | 0.0519258i | \(-0.0165359\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 23.6412 | 1.11322 | ||||||||
\(452\) | −6.42941 | −0.302414 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −19.5086 | + | 33.7898i | −0.915583 | + | 1.58584i | ||||
\(455\) | −0.189722 | − | 0.328608i | −0.00889431 | − | 0.0154054i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.8865 | 0.836694 | 0.418347 | − | 0.908287i | \(-0.362610\pi\) | ||||
0.418347 | + | 0.908287i | \(0.362610\pi\) | |||||||
\(458\) | −20.4266 | − | 35.3799i | −0.954471 | − | 1.65319i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 6.92212 | + | 11.9895i | 0.322746 | + | 0.559012i | ||||
\(461\) | −4.10804 | + | 7.11534i | −0.191331 | + | 0.331394i | −0.945691 | − | 0.325066i | \(-0.894614\pi\) |
0.754361 | + | 0.656460i | \(0.227947\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.55378 | + | 4.42328i | −0.118684 | + | 0.205567i | −0.919246 | − | 0.393682i | \(-0.871201\pi\) |
0.800562 | + | 0.599250i | \(0.204534\pi\) | |||||||
\(464\) | 19.5301 | + | 33.8272i | 0.906664 | + | 1.57039i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −13.1124 | − | 22.7113i | −0.607420 | − | 1.05208i | ||||
\(467\) | −8.45653 | + | 14.6471i | −0.391321 | + | 0.677789i | −0.992624 | − | 0.121233i | \(-0.961315\pi\) |
0.601303 | + | 0.799021i | \(0.294649\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.72128 | −0.0794813 | ||||||||
\(470\) | 13.2064 | − | 22.8742i | 0.609167 | − | 1.05511i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 24.9923 | 1.15036 | ||||||||
\(473\) | 28.2756 | + | 15.2755i | 1.30011 | + | 0.702369i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.5638 | −0.851765 | ||||||||
\(476\) | −14.0577 | + | 24.3487i | −0.644336 | + | 1.11602i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.08392 | + | 14.0018i | −0.369750 | + | 0.640426i | ||||
\(479\) | −16.8225 | + | 29.1375i | −0.768642 | + | 1.33133i | 0.169658 | + | 0.985503i | \(0.445734\pi\) |
−0.938300 | + | 0.345824i | \(0.887600\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.03014 | −0.183759 | ||||||||
\(482\) | 10.6434 | + | 18.4350i | 0.484796 | + | 0.839691i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 59.4855 | 2.70388 | ||||||||
\(485\) | 2.85191 | − | 4.93966i | 0.129499 | − | 0.224298i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.7178 | − | 20.2958i | −0.530983 | − | 0.919689i | −0.999346 | − | 0.0361531i | \(-0.988490\pi\) |
0.468364 | − | 0.883536i | \(-0.344844\pi\) | |||||||
\(488\) | −28.1090 | − | 48.6862i | −1.27244 | − | 2.20392i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.11659 | − | 10.5942i | −0.276319 | − | 0.478599i | ||||
\(491\) | −19.6525 | − | 34.0391i | −0.886904 | − | 1.53616i | −0.843515 | − | 0.537105i | \(-0.819518\pi\) |
−0.0433893 | − | 0.999058i | \(-0.513816\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.3719 | − | 21.4287i | 0.557200 | − | 0.965099i | ||||
\(494\) | −3.86644 | −0.173959 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 16.1226 | − | 27.9252i | 0.723927 | − | 1.25388i | ||||
\(497\) | 1.83061 | − | 3.17071i | 0.0821142 | − | 0.142226i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.13770 | + | 10.6308i | 0.274761 | + | 0.475900i | 0.970075 | − | 0.242806i | \(-0.0780679\pi\) |
−0.695314 | + | 0.718706i | \(0.744735\pi\) | |||||||
\(500\) | −37.0949 | −1.65894 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 20.9247 | + | 36.2426i | 0.933913 | + | 1.61758i | ||||
\(503\) | −8.11909 | − | 14.0627i | −0.362013 | − | 0.627024i | 0.626279 | − | 0.779599i | \(-0.284577\pi\) |
−0.988292 | + | 0.152575i | \(0.951244\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.4415 | −0.464641 | ||||||||
\(506\) | −21.6243 | + | 37.4544i | −0.961319 | + | 1.66505i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −41.3478 | −1.83451 | ||||||||
\(509\) | −3.31509 | − | 5.74190i | −0.146939 | − | 0.254505i | 0.783156 | − | 0.621825i | \(-0.213609\pi\) |
−0.930095 | + | 0.367320i | \(0.880275\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.61659 | − | 4.53206i | 0.115751 | − | 0.200487i | ||||
\(512\) | 50.3400 | 2.22473 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 31.5105 | 1.38987 | ||||||||
\(515\) | −11.4781 | −0.505786 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 57.3900 | 2.52401 | ||||||||
\(518\) | 37.7698 | 1.65951 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.98965 | −0.0872520 | ||||||||
\(521\) | −21.4865 | + | 37.2157i | −0.941340 | + | 1.63045i | −0.178422 | + | 0.983954i | \(0.557099\pi\) |
−0.762918 | + | 0.646495i | \(0.776234\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.28190 | + | 2.22031i | 0.0560534 | + | 0.0970873i | 0.892691 | − | 0.450670i | \(-0.148815\pi\) |
−0.836637 | + | 0.547758i | \(0.815482\pi\) | |||||||
\(524\) | −82.9066 | −3.62179 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 28.0787 | − | 48.6338i | 1.22429 | − | 2.12053i | ||||
\(527\) | −20.4266 | −0.889795 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.57270 | + | 9.65220i | 0.242291 | + | 0.419661i | ||||
\(530\) | 0.905434 | + | 1.56826i | 0.0393295 | + | 0.0681208i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 25.2030 | 1.09269 | ||||||||
\(533\) | −0.828189 | − | 1.43447i | −0.0358729 | − | 0.0621336i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.03146 | − | 8.71475i | 0.217529 | − | 0.376771i | ||||
\(536\) | −4.51285 | + | 7.81648i | −0.194925 | + | 0.337620i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 36.1850 | 1.56005 | ||||||||
\(539\) | 13.2902 | − | 23.0192i | 0.572447 | − | 0.991508i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.90838 | + | 3.30541i | 0.0820475 | + | 0.142111i | 0.904129 | − | 0.427259i | \(-0.140521\pi\) |
−0.822082 | + | 0.569369i | \(0.807187\pi\) | |||||||
\(542\) | −0.629759 | − | 1.09077i | −0.0270505 | − | 0.0468528i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 16.3231 | + | 28.2725i | 0.699849 | + | 1.21217i | ||||
\(545\) | 7.96577 | + | 13.7971i | 0.341216 | + | 0.591004i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −13.0422 | + | 22.5898i | −0.557645 | + | 0.965870i | 0.440047 | + | 0.897975i | \(0.354962\pi\) |
−0.997692 | + | 0.0678953i | \(0.978372\pi\) | |||||||
\(548\) | −70.2591 | −3.00132 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −26.5384 | − | 45.9658i | −1.13160 | − | 1.95999i | ||||
\(551\) | −22.1805 | −0.944922 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.37439 | + | 16.2369i | −0.398639 | + | 0.690464i | ||||
\(554\) | −5.06197 | + | 8.76759i | −0.215063 | + | 0.372499i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −38.4794 | + | 66.6483i | −1.63189 | + | 2.82652i | ||||
\(557\) | −15.3779 | −0.651581 | −0.325790 | − | 0.945442i | \(-0.605630\pi\) | ||||
−0.325790 | + | 0.945442i | \(0.605630\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.0636751 | − | 2.25079i | −0.00269317 | − | 0.0951983i | ||||
\(560\) | 8.54926 | 0.361272 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −17.3859 | + | 30.1133i | −0.733382 | + | 1.27025i | ||||
\(563\) | −13.0065 | −0.548160 | −0.274080 | − | 0.961707i | \(-0.588373\pi\) | ||||
−0.274080 | + | 0.961707i | \(0.588373\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.619232 | − | 1.07254i | 0.0260513 | − | 0.0451222i | ||||
\(566\) | 12.6891 | + | 21.9782i | 0.533365 | + | 0.923814i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.59899 | − | 16.6259i | −0.402765 | − | 0.697609i | ||||
\(569\) | 9.86259 | − | 17.0825i | 0.413461 | − | 0.716136i | −0.581804 | − | 0.813329i | \(-0.697653\pi\) |
0.995266 | + | 0.0971929i | \(0.0309864\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.71172 | − | 8.16094i | 0.197179 | − | 0.341525i | −0.750433 | − | 0.660946i | \(-0.770155\pi\) |
0.947613 | + | 0.319421i | \(0.103488\pi\) | |||||||
\(572\) | −3.84447 | − | 6.65881i | −0.160745 | − | 0.278419i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.76165 | + | 13.4436i | 0.323965 | + | 0.561124i | ||||
\(575\) | 14.5485 | 0.606715 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −21.5560 | − | 37.3360i | −0.897387 | − | 1.55432i | −0.830823 | − | 0.556537i | \(-0.812130\pi\) |
−0.0665643 | − | 0.997782i | \(-0.521204\pi\) | |||||||
\(578\) | 8.99578 | − | 15.5811i | 0.374175 | − | 0.648090i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −20.3005 | −0.842931 | ||||||||
\(581\) | 13.2185 | 0.548397 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.96733 | + | 3.40752i | −0.0814786 | + | 0.141125i | ||||
\(584\) | −13.7203 | − | 23.7643i | −0.567751 | − | 0.983373i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −75.4349 | −3.11619 | ||||||||
\(587\) | 13.9487 | + | 24.1598i | 0.575723 | + | 0.997181i | 0.995963 | + | 0.0897682i | \(0.0286126\pi\) |
−0.420240 | + | 0.907413i | \(0.638054\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.15530 | + | 15.8574i | 0.377237 | + | 0.653394i | ||||
\(590\) | −4.28111 | + | 7.41510i | −0.176251 | + | 0.305275i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 45.4015 | − | 78.6378i | 1.86599 | − | 3.23199i | ||||
\(593\) | −12.3362 | − | 21.3670i | −0.506588 | − | 0.877436i | −0.999971 | − | 0.00762396i | \(-0.997573\pi\) |
0.493383 | − | 0.869812i | \(-0.335760\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.70787 | − | 4.69017i | −0.111012 | − | 0.192278i | ||||
\(596\) | −3.96033 | + | 6.85950i | −0.162222 | + | 0.280976i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.03014 | 0.123912 | ||||||||
\(599\) | −0.0518845 | + | 0.0898667i | −0.00211995 | + | 0.00367185i | −0.867083 | − | 0.498163i | \(-0.834008\pi\) |
0.864963 | + | 0.501835i | \(0.167341\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −30.4553 | −1.24230 | −0.621149 | − | 0.783692i | \(-0.713334\pi\) | ||||
−0.621149 | + | 0.783692i | \(0.713334\pi\) | |||||||
\(602\) | 0.596752 | + | 21.0940i | 0.0243218 | + | 0.859728i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.60405 | −0.309404 | ||||||||
\(605\) | −5.72919 | + | 9.92324i | −0.232925 | + | 0.403437i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.0749 | + | 38.2348i | −0.895992 | + | 1.55190i | −0.0634205 | + | 0.997987i | \(0.520201\pi\) |
−0.832572 | + | 0.553917i | \(0.813132\pi\) | |||||||
\(608\) | 14.6322 | − | 25.3438i | 0.593415 | − | 1.02783i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 19.2600 | 0.779814 | ||||||||
\(611\) | −2.01046 | − | 3.48222i | −0.0813346 | − | 0.140876i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.60140 | 0.185849 | 0.0929244 | − | 0.995673i | \(-0.470379\pi\) | ||||
0.0929244 | + | 0.995673i | \(0.470379\pi\) | |||||||
\(614\) | 19.9800 | − | 34.6065i | 0.806329 | − | 1.39660i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.2578 | + | 35.0875i | 0.816210 | + | 1.41372i | ||||
\(617\) | 4.71128 | + | 8.16017i | 0.189669 | + | 0.328516i | 0.945140 | − | 0.326666i | \(-0.105925\pi\) |
−0.755471 | + | 0.655182i | \(0.772592\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.5301 | − | 19.9708i | −0.463435 | − | 0.802694i | 0.535694 | − | 0.844412i | \(-0.320050\pi\) |
−0.999129 | + | 0.0417185i | \(0.986717\pi\) | |||||||
\(620\) | 8.37928 | + | 14.5133i | 0.336520 | + | 0.582870i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.7065 | − | 34.1327i | 0.790161 | − | 1.36860i | ||||
\(623\) | −20.1948 | −0.809089 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.99097 | + | 12.1087i | −0.279639 | + | 0.484349i | ||||
\(626\) | 7.55109 | − | 13.0789i | 0.301802 | − | 0.522737i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 22.2427 | + | 38.5255i | 0.887582 | + | 1.53734i | ||||
\(629\) | −57.5215 | −2.29353 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.97371 | + | 10.3468i | 0.237810 | + | 0.411899i | 0.960086 | − | 0.279707i | \(-0.0902372\pi\) |
−0.722276 | + | 0.691605i | \(0.756904\pi\) | |||||||
\(632\) | 49.1555 | + | 85.1398i | 1.95530 | + | 3.38668i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 39.1645 | 1.55542 | ||||||||
\(635\) | 3.98230 | − | 6.89755i | 0.158033 | − | 0.273721i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.86230 | −0.0737870 | ||||||||
\(638\) | −31.7088 | − | 54.9212i | −1.25536 | − | 2.17435i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.05895 | + | 7.03032i | −0.160444 | + | 0.277898i | ||||
\(641\) | −4.23910 | −0.167434 | −0.0837172 | − | 0.996490i | \(-0.526679\pi\) | ||||
−0.0837172 | + | 0.996490i | \(0.526679\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 40.4432 | 1.59493 | 0.797463 | − | 0.603368i | \(-0.206175\pi\) | ||||
0.797463 | + | 0.603368i | \(0.206175\pi\) | |||||||
\(644\) | −19.7517 | −0.778326 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −55.1850 | −2.17122 | ||||||||
\(647\) | −31.1019 | −1.22274 | −0.611370 | − | 0.791345i | \(-0.709381\pi\) | ||||
−0.611370 | + | 0.791345i | \(0.709381\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −18.6040 | −0.730273 | ||||||||
\(650\) | −1.85936 | + | 3.22051i | −0.0729302 | + | 0.126319i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −19.4256 | − | 33.6462i | −0.760767 | − | 1.31769i | ||||
\(653\) | −12.0188 | −0.470333 | −0.235167 | − | 0.971955i | \(-0.575564\pi\) | ||||
−0.235167 | + | 0.971955i | \(0.575564\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.98493 | − | 13.8303i | 0.311997 | − | 0.540395i | ||||
\(656\) | 37.3199 | 1.45710 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 18.8417 | + | 32.6348i | 0.734527 | + | 1.27224i | ||||
\(659\) | 20.3936 | + | 35.3227i | 0.794420 | + | 1.37598i | 0.923207 | + | 0.384304i | \(0.125559\pi\) |
−0.128786 | + | 0.991672i | \(0.541108\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.58690 | 0.372887 | 0.186444 | − | 0.982466i | \(-0.440304\pi\) | ||||
0.186444 | + | 0.982466i | \(0.440304\pi\) | |||||||
\(662\) | −19.7585 | − | 34.2227i | −0.767935 | − | 1.33010i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 34.6563 | − | 60.0264i | 1.34492 | − | 2.32948i | ||||
\(665\) | −2.42737 | + | 4.20432i | −0.0941292 | + | 0.163037i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 17.3830 | 0.673071 | ||||||||
\(668\) | −9.53842 | + | 16.5210i | −0.369053 | + | 0.639218i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.54608 | − | 2.67788i | −0.0597301 | − | 0.103456i | ||||
\(671\) | 20.9241 | + | 36.2416i | 0.807766 | + | 1.39909i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.0301387 | + | 0.0522018i | 0.00116176 | + | 0.00201223i | 0.866606 | − | 0.498994i | \(-0.166297\pi\) |
−0.865444 | + | 0.501006i | \(0.832964\pi\) | |||||||
\(674\) | −19.1000 | − | 33.0821i | −0.735704 | − | 1.27428i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 29.4282 | − | 50.9711i | 1.13185 | − | 1.96043i | ||||
\(677\) | 32.8953 | 1.26427 | 0.632135 | − | 0.774858i | \(-0.282179\pi\) | ||||
0.632135 | + | 0.774858i | \(0.282179\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.06885 | + | 7.04745i | 0.156148 | + | 0.270456i | ||||
\(680\) | −28.3980 | −1.08901 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −26.1764 | + | 45.3389i | −1.00235 | + | 1.73612i | ||||
\(683\) | −2.07106 | + | 3.58717i | −0.0792467 | + | 0.137259i | −0.902925 | − | 0.429798i | \(-0.858585\pi\) |
0.823678 | + | 0.567057i | \(0.191918\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.76683 | − | 11.7205i | 0.258547 | − | 0.447817i | ||||
\(686\) | 39.9798 | 1.52644 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 44.6357 | + | 24.1138i | 1.70172 | + | 0.919331i | ||||
\(689\) | 0.275675 | 0.0105024 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.2427 | − | 29.8653i | 0.655944 | − | 1.13613i | −0.325712 | − | 0.945469i | \(-0.605604\pi\) |
0.981656 | − | 0.190660i | \(-0.0610628\pi\) | |||||||
\(692\) | 45.2270 | 1.71927 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −12.0186 | + | 20.8168i | −0.456219 | + | 0.790195i | ||||
\(695\) | −7.41209 | − | 12.8381i | −0.281157 | − | 0.486978i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11.8206 | − | 20.4739i | −0.447737 | − | 0.775504i | ||||
\(698\) | −29.7048 | + | 51.4502i | −1.12434 | + | 1.94742i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 12.1201 | − | 20.9926i | 0.458097 | − | 0.793447i | ||||
\(701\) | −10.4439 | − | 18.0893i | −0.394459 | − | 0.683223i | 0.598573 | − | 0.801068i | \(-0.295735\pi\) |
−0.993032 | + | 0.117845i | \(0.962401\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.7814 | + | 44.6548i | 0.972365 | + | 1.68419i | ||||
\(704\) | 7.83664 | 0.295354 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −41.9880 | − | 72.7253i | −1.58024 | − | 2.73705i | ||||
\(707\) | 7.44849 | − | 12.9012i | 0.280129 | − | 0.485198i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.229852 | −0.00863228 | −0.00431614 | − | 0.999991i | \(-0.501374\pi\) | ||||
−0.00431614 | + | 0.999991i | \(0.501374\pi\) | |||||||
\(710\) | 6.57712 | 0.246835 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −52.9468 | + | 91.7065i | −1.98426 | + | 3.43684i | ||||
\(713\) | −7.17504 | − | 12.4275i | −0.268707 | − | 0.465415i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.48108 | 0.0553892 | ||||||||
\(716\) | −5.85493 | − | 10.1410i | −0.218809 | − | 0.378988i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −19.3533 | − | 33.5209i | −0.722258 | − | 1.25099i | ||||
\(719\) | −3.25333 | + | 5.63493i | −0.121329 | + | 0.210147i | −0.920292 | − | 0.391232i | \(-0.872049\pi\) |
0.798963 | + | 0.601380i | \(0.205382\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.18797 | − | 14.1820i | 0.304936 | − | 0.528164i | ||||
\(722\) | 0.385926 | + | 0.668444i | 0.0143627 | + | 0.0248769i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 50.0156 | + | 86.6296i | 1.85882 | + | 3.21956i | ||||
\(725\) | −10.6666 | + | 18.4751i | −0.396147 | + | 0.686147i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 24.8192 | 0.920492 | 0.460246 | − | 0.887791i | \(-0.347761\pi\) | ||||
0.460246 | + | 0.887791i | \(0.347761\pi\) | |||||||
\(728\) | 1.41933 | − | 2.45834i | 0.0526037 | − | 0.0911123i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 9.40101 | 0.347947 | ||||||||
\(731\) | −0.908824 | − | 32.1251i | −0.0336141 | − | 1.18819i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 45.4252 | 1.67782 | 0.838909 | − | 0.544272i | \(-0.183194\pi\) | ||||
0.838909 | + | 0.544272i | \(0.183194\pi\) | |||||||
\(734\) | 30.1096 | − | 52.1514i | 1.11137 | − | 1.92494i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −11.4673 | + | 19.8620i | −0.422691 | + | 0.732123i | ||||
\(737\) | 3.35932 | − | 5.81852i | 0.123742 | − | 0.214328i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 43.4373 | 1.59787 | 0.798933 | − | 0.601420i | \(-0.205398\pi\) | ||||
0.798933 | + | 0.601420i | \(0.205398\pi\) | |||||||
\(740\) | 23.5962 | + | 40.8698i | 0.867412 | + | 1.50240i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.58358 | −0.0948462 | ||||||||
\(743\) | −0.339658 | + | 0.588304i | −0.0124608 | + | 0.0215828i | −0.872189 | − | 0.489170i | \(-0.837300\pi\) |
0.859728 | + | 0.510753i | \(0.170633\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.762858 | − | 1.32131i | −0.0279490 | − | 0.0484090i | ||||
\(746\) | 27.7936 | + | 48.1398i | 1.01759 | + | 1.76253i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −54.8714 | − | 95.0401i | −2.00630 | − | 3.47501i | ||||
\(749\) | 7.17843 | + | 12.4334i | 0.262294 | + | 0.454307i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.17037 | + | 5.49124i | −0.115688 | + | 0.200378i | −0.918055 | − | 0.396454i | \(-0.870241\pi\) |
0.802366 | + | 0.596832i | \(0.203574\pi\) | |||||||
\(752\) | 90.5955 | 3.30368 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.22162 | + | 3.84796i | −0.0809066 | + | 0.140134i | ||||
\(755\) | 0.732364 | − | 1.26849i | 0.0266535 | − | 0.0461651i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.60756 | + | 11.4446i | 0.240156 | + | 0.415962i | 0.960759 | − | 0.277386i | \(-0.0894681\pi\) |
−0.720603 | + | 0.693348i | \(0.756135\pi\) | |||||||
\(758\) | 69.5910 | 2.52766 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 12.7281 | + | 22.0457i | 0.461697 | + | 0.799683i | ||||
\(761\) | −16.7752 | − | 29.0555i | −0.608101 | − | 1.05326i | −0.991553 | − | 0.129701i | \(-0.958598\pi\) |
0.383452 | − | 0.923561i | \(-0.374735\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −22.7297 | −0.822869 | ||||||||
\(764\) | 40.1332 | − | 69.5127i | 1.45197 | − | 2.51488i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.36385 | −0.157672 | ||||||||
\(767\) | 0.651729 | + | 1.12883i | 0.0235326 | + | 0.0407596i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.222941 | − | 0.386145i | 0.00803945 | − | 0.0139247i | −0.861978 | − | 0.506946i | \(-0.830774\pi\) |
0.870017 | + | 0.493021i | \(0.164108\pi\) | |||||||
\(770\) | −13.8804 | −0.500216 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −42.6533 | −1.53513 | ||||||||
\(773\) | 26.0266 | 0.936113 | 0.468056 | − | 0.883699i | \(-0.344954\pi\) | ||||
0.468056 | + | 0.883699i | \(0.344954\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 17.6111 | 0.632608 | ||||||||
\(776\) | 42.6708 | 1.53179 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −71.4322 | −2.56097 | ||||||||
\(779\) | −10.5961 | + | 18.3530i | −0.379645 | + | 0.657565i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.14540 | + | 12.3762i | 0.255683 | + | 0.442855i | ||||
\(782\) | 43.2487 | 1.54657 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 20.9798 | − | 36.3380i | 0.749277 | − | 1.29779i | ||||
\(785\) | −8.56900 | −0.305841 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.8077 | − | 22.1836i | −0.456546 | − | 0.790761i | 0.542229 | − | 0.840230i | \(-0.317580\pi\) |
−0.998776 | + | 0.0494692i | \(0.984247\pi\) | |||||||
\(788\) | −28.4684 | − | 49.3087i | −1.01415 | − | 1.75655i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −33.6808 | −1.19831 | ||||||||
\(791\) | 0.883464 | + | 1.53020i | 0.0314124 | + | 0.0544078i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.46601 | − | 2.53920i | 0.0520595 | − | 0.0901697i | ||||
\(794\) | −15.5929 | + | 27.0078i | −0.553373 | + | 0.958470i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 23.3478 | 0.827539 | ||||||||
\(797\) | −4.85028 | + | 8.40093i | −0.171806 | + | 0.297576i | −0.939051 | − | 0.343777i | \(-0.888293\pi\) |
0.767246 | + | 0.641354i | \(0.221627\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −28.6950 | − | 49.7012i | −1.01516 | − | 1.75830i | ||||
\(800\) | −14.0732 | − | 24.3756i | −0.497564 | − | 0.861806i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 32.5307 | + | 56.3448i | 1.14870 | + | 1.98960i | ||||
\(803\) | 10.2133 | + | 17.6899i | 0.360419 | + | 0.624264i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.90233 | − | 3.29494i | 0.0670485 | − | 0.116131i | ||||
\(806\) | 3.66801 | 0.129200 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −39.0568 | − | 67.6484i | −1.37401 | − | 2.37986i | ||||
\(809\) | 34.8539 | 1.22540 | 0.612699 | − | 0.790317i | \(-0.290084\pi\) | ||||
0.612699 | + | 0.790317i | \(0.290084\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −15.4071 | + | 26.6858i | −0.541015 | + | 0.937065i | 0.457831 | + | 0.889039i | \(0.348626\pi\) |
−0.998846 | + | 0.0480261i | \(0.984707\pi\) | |||||||
\(812\) | 14.4814 | − | 25.0826i | 0.508199 | − | 0.880226i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −73.7131 | + | 127.675i | −2.58364 | + | 4.47500i | ||||
\(815\) | 7.48372 | 0.262143 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −24.5319 | + | 15.1042i | −0.858262 | + | 0.528429i | ||||
\(818\) | 61.7606 | 2.15941 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.69798 | + | 16.7974i | −0.338668 | + | 0.586590i | ||||
\(821\) | −40.5645 | −1.41571 | −0.707855 | − | 0.706357i | \(-0.750337\pi\) | ||||
−0.707855 | + | 0.706357i | \(0.750337\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.7883 | − | 25.6140i | 0.515487 | − | 0.892850i | −0.484351 | − | 0.874873i | \(-0.660944\pi\) |
0.999838 | − | 0.0179760i | \(-0.00572226\pi\) | |||||||
\(824\) | −42.9344 | − | 74.3645i | −1.49569 | − | 2.59061i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −6.10790 | − | 10.5792i | −0.212521 | − | 0.368097i | ||||
\(827\) | −23.4485 | + | 40.6139i | −0.815383 | + | 1.41228i | 0.0936698 | + | 0.995603i | \(0.470140\pi\) |
−0.909053 | + | 0.416681i | \(0.863193\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.0474 | + | 19.1347i | −0.383692 | + | 0.664574i | −0.991587 | − | 0.129444i | \(-0.958681\pi\) |
0.607895 | + | 0.794018i | \(0.292014\pi\) | |||||||
\(830\) | 11.8731 | + | 20.5647i | 0.412120 | + | 0.713812i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.274530 | − | 0.475500i | −0.00951761 | − | 0.0164850i | ||||
\(833\) | −26.5803 | −0.920953 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.83734 | − | 3.18236i | −0.0635837 | − | 0.110130i | ||||
\(836\) | −49.1873 | + | 85.1949i | −1.70118 | + | 2.94653i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −43.0198 | −1.48609 | ||||||||
\(839\) | −14.2531 | −0.492071 | −0.246036 | − | 0.969261i | \(-0.579128\pi\) | ||||
−0.246036 | + | 0.969261i | \(0.579128\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.75527 | − | 3.04022i | 0.0605266 | − | 0.104835i | ||||
\(842\) | −19.8543 | − | 34.3887i | −0.684225 | − | 1.18511i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −46.9819 | −1.61719 | ||||||||
\(845\) | 5.66860 | + | 9.81830i | 0.195006 | + | 0.337760i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.17388 | − | 14.1576i | −0.280858 | − | 0.486460i | ||||
\(848\) | −3.10562 | + | 5.37909i | −0.106647 | + | 0.184719i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −26.5384 | + | 45.9658i | −0.910259 | + | 1.57661i | ||||
\(851\) | −20.2050 | − | 34.9961i | −0.692619 | − | 1.19965i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 2.43334 | + | 4.21467i | 0.0833160 | + | 0.144308i | 0.904672 | − | 0.426108i | \(-0.140116\pi\) |
−0.821356 | + | 0.570415i | \(0.806782\pi\) | |||||||
\(854\) | −13.7392 | + | 23.7970i | −0.470146 | + | 0.814316i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 75.2815 | 2.57307 | ||||||||
\(857\) | −8.01310 | + | 13.8791i | −0.273722 | + | 0.474101i | −0.969812 | − | 0.243854i | \(-0.921588\pi\) |
0.696090 | + | 0.717955i | \(0.254922\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.4683 | 0.425413 | 0.212707 | − | 0.977116i | \(-0.431772\pi\) | ||||
0.212707 | + | 0.977116i | \(0.431772\pi\) | |||||||
\(860\) | −22.4525 | + | 13.8239i | −0.765625 | + | 0.471393i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 17.0044 | 0.579172 | ||||||||
\(863\) | 9.47105 | − | 16.4043i | 0.322398 | − | 0.558410i | −0.658584 | − | 0.752507i | \(-0.728844\pi\) |
0.980982 | + | 0.194097i | \(0.0621777\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.35592 | + | 7.54467i | −0.148106 | + | 0.256527i | ||||
\(866\) | 15.3714 | − | 26.6240i | 0.522341 | − | 0.904721i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −23.9096 | −0.811544 | ||||||||
\(869\) | −36.5909 | − | 63.3773i | −1.24126 | − | 2.14993i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.470730 | −0.0159501 | ||||||||
\(872\) | −59.5925 | + | 103.217i | −2.01806 | + | 3.49538i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −19.3843 | − | 33.5746i | −0.655683 | − | 1.13568i | ||||
\(875\) | 5.09720 | + | 8.82861i | 0.172317 | + | 0.298462i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21.9333 | − | 37.9897i | −0.740636 | − | 1.28282i | −0.952206 | − | 0.305457i | \(-0.901191\pi\) |
0.211570 | − | 0.977363i | \(-0.432142\pi\) | |||||||
\(878\) | 22.7448 | + | 39.3952i | 0.767601 | + | 1.32952i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −16.6851 | + | 28.8994i | −0.562455 | + | 0.974200i | ||||
\(881\) | −38.3674 | −1.29263 | −0.646315 | − | 0.763070i | \(-0.723691\pi\) | ||||
−0.646315 | + | 0.763070i | \(0.723691\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.77585 | − | 3.07587i | 0.0597622 | − | 0.103511i | −0.834596 | − | 0.550862i | \(-0.814299\pi\) |
0.894359 | + | 0.447351i | \(0.147632\pi\) | |||||||
\(884\) | −3.84447 | + | 6.65881i | −0.129303 | + | 0.223960i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −40.9932 | − | 71.0022i | −1.37719 | − | 2.38537i | ||||
\(887\) | 20.1046 | 0.675047 | 0.337524 | − | 0.941317i | \(-0.390411\pi\) | ||||
0.337524 | + | 0.941317i | \(0.390411\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.68158 | + | 9.84079i | 0.190554 | + | 0.330050i | ||||
\(890\) | −18.1393 | − | 31.4181i | −0.608030 | − | 1.05314i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −97.5147 | −3.26503 | ||||||||
\(893\) | −25.7225 | + | 44.5527i | −0.860771 | + | 1.49090i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.25561 | 0.0753967 | ||||||||
\(896\) | −5.79094 | − | 10.0302i | −0.193462 | − | 0.335086i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −29.5598 | + | 51.1991i | −0.986424 | + | 1.70854i | ||||
\(899\) | 21.0422 | 0.701797 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.93466 | 0.131083 | ||||||||
\(902\) | −60.5919 | −2.01749 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 9.26505 | 0.308151 | ||||||||
\(905\) | −19.2685 | −0.640506 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.50857 | 0.0832958 | 0.0416479 | − | 0.999132i | \(-0.486739\pi\) | ||||
0.0416479 | + | 0.999132i | \(0.486739\pi\) | |||||||
\(908\) | 34.7766 | − | 60.2349i | 1.15410 | − | 1.99897i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.486253 | + | 0.842215i | 0.0161191 | + | 0.0279192i | ||||
\(911\) | −14.7932 | −0.490121 | −0.245060 | − | 0.969508i | \(-0.578808\pi\) | ||||
−0.245060 | + | 0.969508i | \(0.578808\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −25.7978 | + | 44.6832i | −0.853784 | + | 1.47880i | ||||
\(914\) | −45.8426 | −1.51634 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 36.4131 | + | 63.0693i | 1.20312 | + | 2.08387i | ||||
\(917\) | 11.3922 | + | 19.7318i | 0.376203 | + | 0.651602i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 25.8995 | 0.854345 | 0.427172 | − | 0.904170i | \(-0.359510\pi\) | ||||
0.427172 | + | 0.904170i | \(0.359510\pi\) | |||||||
\(920\) | −9.97507 | − | 17.2773i | −0.328868 | − | 0.569617i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 10.5288 | − | 18.2364i | 0.346748 | − | 0.600585i | ||||
\(923\) | 0.500630 | − | 0.867116i | 0.0164784 | − | 0.0285415i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 49.5930 | 1.63061 | ||||||||
\(926\) | 6.54528 | − | 11.3368i | 0.215091 | − | 0.372549i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −16.8151 | − | 29.1246i | −0.551982 | − | 0.956062i | ||||
\(929\) | −1.22090 | − | 2.11465i | −0.0400563 | − | 0.0693795i | 0.845302 | − | 0.534288i | \(-0.179420\pi\) |
−0.885358 | + | 0.464909i | \(0.846087\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.9134 | + | 20.6347i | 0.390447 | + | 0.676274i | ||||
\(932\) | 23.3746 | + | 40.4860i | 0.765661 | + | 1.32616i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 21.6739 | − | 37.5403i | 0.709191 | − | 1.22835i | ||||
\(935\) | 21.1392 | 0.691325 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.38979 | − | 14.5315i | −0.274083 | − | 0.474725i | 0.695821 | − | 0.718216i | \(-0.255041\pi\) |
−0.969903 | + | 0.243491i | \(0.921708\pi\) | |||||||
\(938\) | 4.41160 | 0.144044 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −23.5422 | + | 40.7763i | −0.767863 | + | 1.32998i | ||||
\(941\) | 26.2429 | − | 45.4540i | 0.855493 | − | 1.48176i | −0.0206934 | − | 0.999786i | \(-0.506587\pi\) |
0.876187 | − | 0.481972i | \(-0.160079\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.30421 | − | 14.3833i | 0.270422 | − | 0.468385i | ||||
\(944\) | −29.3682 | −0.955855 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −72.4697 | − | 39.1508i | −2.35619 | − | 1.27290i | ||||
\(947\) | 11.6326 | 0.378009 | 0.189005 | − | 0.981976i | \(-0.439474\pi\) | ||||
0.189005 | + | 0.981976i | \(0.439474\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.715575 | − | 1.23941i | 0.0232286 | − | 0.0402330i | ||||
\(950\) | 47.5786 | 1.54365 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 20.2578 | − | 35.0875i | 0.656559 | − | 1.13719i | ||||
\(953\) | 28.2855 | + | 48.9919i | 0.916256 | + | 1.58700i | 0.805051 | + | 0.593205i | \(0.202138\pi\) |
0.111205 | + | 0.993797i | \(0.464529\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.73064 | + | 13.3899i | 0.250158 | + | 0.433286i | ||||
\(956\) | 14.4107 | − | 24.9600i | 0.466074 | − | 0.807264i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 43.1158 | − | 74.6787i | 1.39301 | − | 2.41276i | ||||
\(959\) | 9.65429 | + | 16.7217i | 0.311753 | + | 0.539972i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.81456 | + | 11.8032i | 0.219825 | + | 0.380747i | ||||
\(962\) | 10.3292 | 0.333025 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.9734 | − | 32.8628i | −0.611091 | − | 1.05844i | ||||
\(965\) | 4.10804 | − | 7.11534i | 0.132243 | − | 0.229051i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 37.0724 | 1.19217 | 0.596083 | − | 0.802923i | \(-0.296723\pi\) | ||||
0.596083 | + | 0.802923i | \(0.296723\pi\) | |||||||
\(968\) | −85.7210 | −2.75518 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7.30939 | + | 12.6602i | −0.234690 | + | 0.406496i | ||||
\(971\) | −21.7103 | − | 37.6033i | −0.696716 | − | 1.20675i | −0.969599 | − | 0.244700i | \(-0.921310\pi\) |
0.272883 | − | 0.962047i | \(-0.412023\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 21.1498 | 0.678031 | ||||||||
\(974\) | 30.0324 | + | 52.0176i | 0.962299 | + | 1.66675i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 33.0307 | + | 57.2108i | 1.05729 | + | 1.83127i | ||||
\(977\) | −11.1122 | + | 19.2470i | −0.355512 | + | 0.615765i | −0.987205 | − | 0.159454i | \(-0.949027\pi\) |
0.631694 | + | 0.775218i | \(0.282360\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 39.4131 | − | 68.2655i | 1.25965 | − | 2.18177i | ||||
\(980\) | 10.9036 | + | 18.8857i | 0.348304 | + | 0.603280i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 50.3689 | + | 87.2414i | 1.60734 | + | 2.78399i | ||||
\(983\) | 17.5583 | − | 30.4119i | 0.560023 | − | 0.969988i | −0.437471 | − | 0.899233i | \(-0.644126\pi\) |
0.997494 | − | 0.0707554i | \(-0.0225410\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 10.9674 | 0.349452 | ||||||||
\(986\) | −31.7088 | + | 54.9212i | −1.00981 | + | 1.74905i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 6.89244 | 0.219278 | ||||||||
\(989\) | 19.2257 | − | 11.8372i | 0.611342 | − | 0.376401i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.9793 | 0.666429 | 0.333215 | − | 0.942851i | \(-0.391867\pi\) | ||||
0.333215 | + | 0.942851i | \(0.391867\pi\) | |||||||
\(992\) | −13.8813 | + | 24.0431i | −0.440731 | + | 0.763369i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.69182 | + | 8.12647i | −0.148815 | + | 0.257756i | ||||
\(995\) | −2.24868 | + | 3.89483i | −0.0712879 | + | 0.123474i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.0475 | −0.444889 | −0.222445 | − | 0.974945i | \(-0.571404\pi\) | ||||
−0.222445 | + | 0.974945i | \(0.571404\pi\) | |||||||
\(998\) | −15.7308 | − | 27.2465i | −0.497949 | − | 0.862473i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 387.2.h.g.307.1 | yes | 12 | |
3.2 | odd | 2 | inner | 387.2.h.g.307.6 | yes | 12 | |
43.36 | even | 3 | inner | 387.2.h.g.208.1 | ✓ | 12 | |
129.122 | odd | 6 | inner | 387.2.h.g.208.6 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
387.2.h.g.208.1 | ✓ | 12 | 43.36 | even | 3 | inner | |
387.2.h.g.208.6 | yes | 12 | 129.122 | odd | 6 | inner | |
387.2.h.g.307.1 | yes | 12 | 1.1 | even | 1 | trivial | |
387.2.h.g.307.6 | yes | 12 | 3.2 | odd | 2 | inner |