Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(136,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.e (of order \(3\), degree \(2\), 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: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{13})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} - x^{3} + 4x^{2} + 3x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(1.15139 + 1.99426i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 405.271 |
Dual form | 405.2.e.j.136.1 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.15139 | − | 1.99426i | −0.814154 | − | 1.41016i | −0.909934 | − | 0.414754i | \(-0.863868\pi\) |
0.0957796 | − | 0.995403i | \(-0.469466\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.65139 | + | 2.86029i | −0.825694 | + | 1.43014i | ||||
\(5\) | 0.500000 | − | 0.866025i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.30278 | + | 2.25647i | 0.492403 | + | 0.852867i | 0.999962 | − | 0.00875026i | \(-0.00278533\pi\) |
−0.507559 | + | 0.861617i | \(0.669452\pi\) | |||||||
\(8\) | 3.00000 | 1.06066 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.30278 | −0.728202 | ||||||||
\(11\) | 2.30278 | + | 3.98852i | 0.694313 | + | 1.20259i | 0.970412 | + | 0.241456i | \(0.0776250\pi\) |
−0.276099 | + | 0.961129i | \(0.589042\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.30278 | + | 5.72058i | −0.916025 | + | 1.58660i | −0.110632 | + | 0.993861i | \(0.535287\pi\) |
−0.805393 | + | 0.592741i | \(0.798046\pi\) | |||||||
\(14\) | 3.00000 | − | 5.19615i | 0.801784 | − | 1.38873i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.151388 | − | 0.262211i | −0.0378470 | − | 0.0655528i | ||||
\(17\) | −1.60555 | −0.389403 | −0.194702 | − | 0.980863i | \(-0.562374\pi\) | ||||
−0.194702 | + | 0.980863i | \(0.562374\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.60555 | 0.827170 | 0.413585 | − | 0.910465i | \(-0.364276\pi\) | ||||
0.413585 | + | 0.910465i | \(0.364276\pi\) | |||||||
\(20\) | 1.65139 | + | 2.86029i | 0.369262 | + | 0.639580i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.30278 | − | 9.18468i | 1.13056 | − | 1.95818i | ||||
\(23\) | −1.50000 | + | 2.59808i | −0.312772 | + | 0.541736i | −0.978961 | − | 0.204046i | \(-0.934591\pi\) |
0.666190 | + | 0.745782i | \(0.267924\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 15.2111 | 2.98314 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −8.60555 | −1.62630 | ||||||||
\(29\) | 0.697224 | + | 1.20763i | 0.129471 | + | 0.224251i | 0.923472 | − | 0.383666i | \(-0.125339\pi\) |
−0.794001 | + | 0.607917i | \(0.792005\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.80278 | − | 4.85455i | 0.503393 | − | 0.871903i | −0.496599 | − | 0.867980i | \(-0.665418\pi\) |
0.999992 | − | 0.00392276i | \(-0.00124866\pi\) | |||||||
\(32\) | 2.65139 | − | 4.59234i | 0.468704 | − | 0.811818i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.84861 | + | 3.20189i | 0.317034 | + | 0.549120i | ||||
\(35\) | 2.60555 | 0.440419 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | −4.15139 | − | 7.19041i | −0.673444 | − | 1.16644i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.50000 | − | 2.59808i | 0.237171 | − | 0.410792i | ||||
\(41\) | −2.30278 | + | 3.98852i | −0.359633 | + | 0.622903i | −0.987899 | − | 0.155095i | \(-0.950431\pi\) |
0.628266 | + | 0.777998i | \(0.283765\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.302776 | − | 0.524423i | −0.0461729 | − | 0.0799737i | 0.842015 | − | 0.539454i | \(-0.181369\pi\) |
−0.888188 | + | 0.459480i | \(0.848036\pi\) | |||||||
\(44\) | −15.2111 | −2.29316 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.90833 | 1.01858 | ||||||||
\(47\) | −4.60555 | − | 7.97705i | −0.671789 | − | 1.16357i | −0.977396 | − | 0.211415i | \(-0.932193\pi\) |
0.305608 | − | 0.952157i | \(-0.401140\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.105551 | − | 0.182820i | 0.0150788 | − | 0.0261172i | ||||
\(50\) | −1.15139 | + | 1.99426i | −0.162831 | + | 0.282031i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −10.9083 | − | 18.8938i | −1.51271 | − | 2.62010i | ||||
\(53\) | −1.60555 | −0.220539 | −0.110270 | − | 0.993902i | \(-0.535171\pi\) | ||||
−0.110270 | + | 0.993902i | \(0.535171\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.60555 | 0.621012 | ||||||||
\(56\) | 3.90833 | + | 6.76942i | 0.522272 | + | 0.904602i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.60555 | − | 2.78090i | 0.210819 | − | 0.365150i | ||||
\(59\) | −0.697224 | + | 1.20763i | −0.0907709 | + | 0.157220i | −0.907836 | − | 0.419326i | \(-0.862266\pi\) |
0.817065 | + | 0.576546i | \(0.195600\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.10555 | + | 3.64692i | 0.269588 | + | 0.466940i | 0.968756 | − | 0.248018i | \(-0.0797791\pi\) |
−0.699167 | + | 0.714958i | \(0.746446\pi\) | |||||||
\(62\) | −12.9083 | −1.63936 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −12.8167 | −1.60208 | ||||||||
\(65\) | 3.30278 | + | 5.72058i | 0.409659 | + | 0.709550i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.394449 | − | 0.683205i | 0.0481896 | − | 0.0834668i | −0.840924 | − | 0.541153i | \(-0.817988\pi\) |
0.889114 | + | 0.457686i | \(0.151322\pi\) | |||||||
\(68\) | 2.65139 | − | 4.59234i | 0.321528 | − | 0.556903i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.00000 | − | 5.19615i | −0.358569 | − | 0.621059i | ||||
\(71\) | −7.39445 | −0.877560 | −0.438780 | − | 0.898595i | \(-0.644589\pi\) | ||||
−0.438780 | + | 0.898595i | \(0.644589\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.6056 | 1.47537 | 0.737684 | − | 0.675146i | \(-0.235919\pi\) | ||||
0.737684 | + | 0.675146i | \(0.235919\pi\) | |||||||
\(74\) | −2.30278 | − | 3.98852i | −0.267692 | − | 0.463657i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5.95416 | + | 10.3129i | −0.682989 | + | 1.18297i | ||||
\(77\) | −6.00000 | + | 10.3923i | −0.683763 | + | 1.18431i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.80278 | + | 10.0507i | 0.652863 | + | 1.13079i | 0.982425 | + | 0.186658i | \(0.0597657\pi\) |
−0.329562 | + | 0.944134i | \(0.606901\pi\) | |||||||
\(80\) | −0.302776 | −0.0338513 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.6056 | 1.17119 | ||||||||
\(83\) | 1.50000 | + | 2.59808i | 0.164646 | + | 0.285176i | 0.936530 | − | 0.350588i | \(-0.114018\pi\) |
−0.771883 | + | 0.635764i | \(0.780685\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.802776 | + | 1.39045i | −0.0870732 | + | 0.150815i | ||||
\(86\) | −0.697224 | + | 1.20763i | −0.0751836 | + | 0.130222i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 6.90833 | + | 11.9656i | 0.736430 | + | 1.27553i | ||||
\(89\) | 13.8167 | 1.46456 | 0.732281 | − | 0.681002i | \(-0.238456\pi\) | ||||
0.732281 | + | 0.681002i | \(0.238456\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −17.2111 | −1.80421 | ||||||||
\(92\) | −4.95416 | − | 8.58086i | −0.516507 | − | 0.894617i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −10.6056 | + | 18.3694i | −1.09388 | + | 1.89465i | ||||
\(95\) | 1.80278 | − | 3.12250i | 0.184961 | − | 0.320362i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.00000 | − | 6.92820i | −0.406138 | − | 0.703452i | 0.588315 | − | 0.808632i | \(-0.299792\pi\) |
−0.994453 | + | 0.105180i | \(0.966458\pi\) | |||||||
\(98\) | −0.486122 | −0.0491057 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.30278 | 0.330278 | ||||||||
\(101\) | 6.00000 | + | 10.3923i | 0.597022 | + | 1.03407i | 0.993258 | + | 0.115924i | \(0.0369830\pi\) |
−0.396236 | + | 0.918149i | \(0.629684\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.00000 | − | 3.46410i | 0.197066 | − | 0.341328i | −0.750510 | − | 0.660859i | \(-0.770192\pi\) |
0.947576 | + | 0.319531i | \(0.103525\pi\) | |||||||
\(104\) | −9.90833 | + | 17.1617i | −0.971591 | + | 1.68285i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.84861 | + | 3.20189i | 0.179553 | + | 0.310995i | ||||
\(107\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.00000 | −0.670478 | −0.335239 | − | 0.942133i | \(-0.608817\pi\) | ||||
−0.335239 | + | 0.942133i | \(0.608817\pi\) | |||||||
\(110\) | −5.30278 | − | 9.18468i | −0.505600 | − | 0.875725i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.394449 | − | 0.683205i | 0.0372719 | − | 0.0645568i | ||||
\(113\) | −7.60555 | + | 13.1732i | −0.715470 | + | 1.23923i | 0.247308 | + | 0.968937i | \(0.420454\pi\) |
−0.962778 | + | 0.270294i | \(0.912879\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.50000 | + | 2.59808i | 0.139876 | + | 0.242272i | ||||
\(116\) | −4.60555 | −0.427615 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.21110 | 0.295606 | ||||||||
\(119\) | −2.09167 | − | 3.62288i | −0.191743 | − | 0.332109i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.10555 | + | 8.84307i | −0.464141 | + | 0.803916i | ||||
\(122\) | 4.84861 | − | 8.39804i | 0.438973 | − | 0.760323i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.25694 | + | 16.0335i | 0.831298 | + | 1.43985i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −19.2111 | −1.70471 | −0.852355 | − | 0.522964i | \(-0.824826\pi\) | ||||
−0.852355 | + | 0.522964i | \(0.824826\pi\) | |||||||
\(128\) | 9.45416 | + | 16.3751i | 0.835638 | + | 1.44737i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.60555 | − | 13.1732i | 0.667051 | − | 1.15537i | ||||
\(131\) | 3.00000 | − | 5.19615i | 0.262111 | − | 0.453990i | −0.704692 | − | 0.709514i | \(-0.748915\pi\) |
0.966803 | + | 0.255524i | \(0.0822479\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.69722 | + | 8.13583i | 0.407301 | + | 0.705466i | ||||
\(134\) | −1.81665 | −0.156935 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.81665 | −0.413025 | ||||||||
\(137\) | 8.40833 | + | 14.5636i | 0.718372 | + | 1.24426i | 0.961645 | + | 0.274299i | \(0.0884457\pi\) |
−0.243273 | + | 0.969958i | \(0.578221\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.00000 | − | 3.46410i | 0.169638 | − | 0.293821i | −0.768655 | − | 0.639664i | \(-0.779074\pi\) |
0.938293 | + | 0.345843i | \(0.112407\pi\) | |||||||
\(140\) | −4.30278 | + | 7.45263i | −0.363651 | + | 0.629862i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.51388 | + | 14.7465i | 0.714469 | + | 1.23750i | ||||
\(143\) | −30.4222 | −2.54403 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.39445 | 0.115803 | ||||||||
\(146\) | −14.5139 | − | 25.1388i | −1.20118 | − | 2.08050i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.30278 | + | 5.72058i | −0.271486 | + | 0.470228i | ||||
\(149\) | 11.5139 | − | 19.9426i | 0.943254 | − | 1.63376i | 0.184043 | − | 0.982918i | \(-0.441081\pi\) |
0.759211 | − | 0.650845i | \(-0.225585\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.21110 | − | 12.4900i | −0.586831 | − | 1.01642i | −0.994644 | − | 0.103356i | \(-0.967042\pi\) |
0.407813 | − | 0.913065i | \(-0.366291\pi\) | |||||||
\(152\) | 10.8167 | 0.877346 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 27.6333 | 2.22676 | ||||||||
\(155\) | −2.80278 | − | 4.85455i | −0.225124 | − | 0.389927i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.90833 | − | 15.4297i | 0.710962 | − | 1.23142i | −0.253535 | − | 0.967326i | \(-0.581593\pi\) |
0.964496 | − | 0.264096i | \(-0.0850735\pi\) | |||||||
\(158\) | 13.3625 | − | 23.1445i | 1.06306 | − | 1.84128i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.65139 | − | 4.59234i | −0.209611 | − | 0.363056i | ||||
\(161\) | −7.81665 | −0.616039 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.00000 | 0.156652 | 0.0783260 | − | 0.996928i | \(-0.475042\pi\) | ||||
0.0783260 | + | 0.996928i | \(0.475042\pi\) | |||||||
\(164\) | −7.60555 | − | 13.1732i | −0.593894 | − | 1.02865i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.45416 | − | 5.98279i | 0.268095 | − | 0.464354i | ||||
\(167\) | −1.50000 | + | 2.59808i | −0.116073 | + | 0.201045i | −0.918208 | − | 0.396098i | \(-0.870364\pi\) |
0.802135 | + | 0.597143i | \(0.203697\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −15.3167 | − | 26.5292i | −1.17820 | − | 2.04071i | ||||
\(170\) | 3.69722 | 0.283564 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | 0.152499 | ||||||||
\(173\) | −5.40833 | − | 9.36750i | −0.411187 | − | 0.712198i | 0.583832 | − | 0.811874i | \(-0.301553\pi\) |
−0.995020 | + | 0.0996766i | \(0.968219\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.30278 | − | 2.25647i | 0.0984806 | − | 0.170573i | ||||
\(176\) | 0.697224 | − | 1.20763i | 0.0525553 | − | 0.0910284i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −15.9083 | − | 27.5540i | −1.19238 | − | 2.06526i | ||||
\(179\) | 21.2111 | 1.58539 | 0.792696 | − | 0.609617i | \(-0.208677\pi\) | ||||
0.792696 | + | 0.609617i | \(0.208677\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.00000 | −0.520306 | −0.260153 | − | 0.965567i | \(-0.583773\pi\) | ||||
−0.260153 | + | 0.965567i | \(0.583773\pi\) | |||||||
\(182\) | 19.8167 | + | 34.3235i | 1.46891 | + | 2.54422i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.50000 | + | 7.79423i | −0.331744 | + | 0.574598i | ||||
\(185\) | 1.00000 | − | 1.73205i | 0.0735215 | − | 0.127343i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.69722 | − | 6.40378i | −0.270368 | − | 0.468291i | ||||
\(188\) | 30.4222 | 2.21877 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.30278 | −0.602347 | ||||||||
\(191\) | −6.21110 | − | 10.7579i | −0.449420 | − | 0.778418i | 0.548929 | − | 0.835869i | \(-0.315036\pi\) |
−0.998348 | + | 0.0574516i | \(0.981703\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.0916731 | + | 0.158782i | −0.00659877 | + | 0.0114294i | −0.869306 | − | 0.494274i | \(-0.835434\pi\) |
0.862707 | + | 0.505704i | \(0.168767\pi\) | |||||||
\(194\) | −9.21110 | + | 15.9541i | −0.661319 | + | 1.14544i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.348612 | + | 0.603814i | 0.0249009 | + | 0.0431296i | ||||
\(197\) | 22.8167 | 1.62562 | 0.812810 | − | 0.582529i | \(-0.197937\pi\) | ||||
0.812810 | + | 0.582529i | \(0.197937\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.21110 | −0.0858528 | −0.0429264 | − | 0.999078i | \(-0.513668\pi\) | ||||
−0.0429264 | + | 0.999078i | \(0.513668\pi\) | |||||||
\(200\) | −1.50000 | − | 2.59808i | −0.106066 | − | 0.183712i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 13.8167 | − | 23.9311i | 0.972136 | − | 1.68379i | ||||
\(203\) | −1.81665 | + | 3.14654i | −0.127504 | + | 0.220844i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.30278 | + | 3.98852i | 0.160833 | + | 0.278571i | ||||
\(206\) | −9.21110 | −0.641768 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | 8.30278 | + | 14.3808i | 0.574315 | + | 0.994743i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.40833 | − | 7.63545i | 0.303482 | − | 0.525646i | −0.673440 | − | 0.739242i | \(-0.735184\pi\) |
0.976922 | + | 0.213596i | \(0.0685175\pi\) | |||||||
\(212\) | 2.65139 | − | 4.59234i | 0.182098 | − | 0.315403i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.605551 | −0.0412983 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.6056 | 0.991489 | ||||||||
\(218\) | 8.05971 | + | 13.9598i | 0.545873 | + | 0.945479i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.60555 | + | 13.1732i | −0.512766 | + | 0.888137i | ||||
\(221\) | 5.30278 | − | 9.18468i | 0.356703 | − | 0.617828i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.00000 | + | 8.66025i | 0.334825 | + | 0.579934i | 0.983451 | − | 0.181173i | \(-0.0579895\pi\) |
−0.648626 | + | 0.761107i | \(0.724656\pi\) | |||||||
\(224\) | 13.8167 | 0.923164 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 35.0278 | 2.33001 | ||||||||
\(227\) | −5.89445 | − | 10.2095i | −0.391228 | − | 0.677627i | 0.601384 | − | 0.798960i | \(-0.294616\pi\) |
−0.992612 | + | 0.121333i | \(0.961283\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.10555 | + | 7.11102i | −0.271302 | + | 0.469910i | −0.969196 | − | 0.246292i | \(-0.920788\pi\) |
0.697893 | + | 0.716202i | \(0.254121\pi\) | |||||||
\(230\) | 3.45416 | − | 5.98279i | 0.227761 | − | 0.394493i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.09167 | + | 3.62288i | 0.137325 | + | 0.237854i | ||||
\(233\) | 18.0000 | 1.17922 | 0.589610 | − | 0.807688i | \(-0.299282\pi\) | ||||
0.589610 | + | 0.807688i | \(0.299282\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.21110 | −0.600866 | ||||||||
\(236\) | −2.30278 | − | 3.98852i | −0.149898 | − | 0.259631i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.81665 | + | 8.34269i | −0.312217 | + | 0.540776i | ||||
\(239\) | −7.60555 | + | 13.1732i | −0.491962 | + | 0.852104i | −0.999957 | − | 0.00925650i | \(-0.997054\pi\) |
0.507995 | + | 0.861360i | \(0.330387\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.89445 | − | 11.9415i | −0.444110 | − | 0.769222i | 0.553879 | − | 0.832597i | \(-0.313147\pi\) |
−0.997990 | + | 0.0633751i | \(0.979814\pi\) | |||||||
\(242\) | 23.5139 | 1.51153 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −13.9083 | −0.890389 | ||||||||
\(245\) | −0.105551 | − | 0.182820i | −0.00674342 | − | 0.0116800i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −11.9083 | + | 20.6258i | −0.757709 | + | 1.31239i | ||||
\(248\) | 8.40833 | − | 14.5636i | 0.533929 | − | 0.924793i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.15139 | + | 1.99426i | 0.0728202 | + | 0.126128i | ||||
\(251\) | −27.6333 | −1.74420 | −0.872099 | − | 0.489329i | \(-0.837242\pi\) | ||||
−0.872099 | + | 0.489329i | \(0.837242\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.8167 | −0.868646 | ||||||||
\(254\) | 22.1194 | + | 38.3120i | 1.38790 | + | 2.40391i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.95416 | − | 15.5091i | 0.559635 | − | 0.969317i | ||||
\(257\) | 0.591673 | − | 1.02481i | 0.0369076 | − | 0.0639258i | −0.846982 | − | 0.531622i | \(-0.821583\pi\) |
0.883889 | + | 0.467696i | \(0.154916\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.60555 | + | 4.51295i | 0.161901 | + | 0.280421i | ||||
\(260\) | −21.8167 | −1.35301 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −13.8167 | −0.853596 | ||||||||
\(263\) | −1.39445 | − | 2.41526i | −0.0859854 | − | 0.148931i | 0.819825 | − | 0.572614i | \(-0.194071\pi\) |
−0.905811 | + | 0.423683i | \(0.860737\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.802776 | + | 1.39045i | −0.0493141 | + | 0.0854146i | ||||
\(266\) | 10.8167 | − | 18.7350i | 0.663212 | − | 1.14872i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.30278 | + | 2.25647i | 0.0795797 | + | 0.137836i | ||||
\(269\) | 3.21110 | 0.195784 | 0.0978922 | − | 0.995197i | \(-0.468790\pi\) | ||||
0.0978922 | + | 0.995197i | \(0.468790\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 31.2389 | 1.89763 | 0.948813 | − | 0.315839i | \(-0.102286\pi\) | ||||
0.948813 | + | 0.315839i | \(0.102286\pi\) | |||||||
\(272\) | 0.243061 | + | 0.420994i | 0.0147377 | + | 0.0255265i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 19.3625 | − | 33.5368i | 1.16973 | − | 2.02603i | ||||
\(275\) | 2.30278 | − | 3.98852i | 0.138863 | − | 0.240517i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.51388 | − | 6.08622i | −0.211128 | − | 0.365685i | 0.740939 | − | 0.671572i | \(-0.234381\pi\) |
−0.952068 | + | 0.305887i | \(0.901047\pi\) | |||||||
\(278\) | −9.21110 | −0.552445 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.81665 | 0.467134 | ||||||||
\(281\) | −9.90833 | − | 17.1617i | −0.591081 | − | 1.02378i | −0.994087 | − | 0.108585i | \(-0.965368\pi\) |
0.403006 | − | 0.915197i | \(-0.367965\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.69722 | + | 2.93968i | −0.100890 | + | 0.174746i | −0.912051 | − | 0.410076i | \(-0.865502\pi\) |
0.811162 | + | 0.584822i | \(0.198836\pi\) | |||||||
\(284\) | 12.2111 | − | 21.1503i | 0.724596 | − | 1.25504i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 35.0278 | + | 60.6699i | 2.07123 | + | 3.58748i | ||||
\(287\) | −12.0000 | −0.708338 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.4222 | −0.848365 | ||||||||
\(290\) | −1.60555 | − | 2.78090i | −0.0942812 | − | 0.163300i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −20.8167 | + | 36.0555i | −1.21820 | + | 2.10999i | ||||
\(293\) | −3.59167 | + | 6.22096i | −0.209828 | + | 0.363432i | −0.951660 | − | 0.307153i | \(-0.900624\pi\) |
0.741832 | + | 0.670585i | \(0.233957\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.697224 | + | 1.20763i | 0.0405940 | + | 0.0703108i | ||||
\(296\) | 6.00000 | 0.348743 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −53.0278 | −3.07182 | ||||||||
\(299\) | −9.90833 | − | 17.1617i | −0.573013 | − | 0.992488i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.788897 | − | 1.36641i | 0.0454713 | − | 0.0787586i | ||||
\(302\) | −16.6056 | + | 28.7617i | −0.955542 | + | 1.65505i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.545837 | − | 0.945417i | −0.0313059 | − | 0.0542234i | ||||
\(305\) | 4.21110 | 0.241127 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.42221 | 0.480681 | 0.240340 | − | 0.970689i | \(-0.422741\pi\) | ||||
0.240340 | + | 0.970689i | \(0.422741\pi\) | |||||||
\(308\) | −19.8167 | − | 34.3235i | −1.12916 | − | 1.95576i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.45416 | + | 11.1789i | −0.366572 | + | 0.634921i | ||||
\(311\) | −3.90833 | + | 6.76942i | −0.221621 | + | 0.383859i | −0.955300 | − | 0.295637i | \(-0.904468\pi\) |
0.733679 | + | 0.679496i | \(0.237801\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.81665 | + | 17.0029i | 0.554870 | + | 0.961063i | 0.997914 | + | 0.0645631i | \(0.0205654\pi\) |
−0.443044 | + | 0.896500i | \(0.646101\pi\) | |||||||
\(314\) | −41.0278 | −2.31533 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −38.3305 | −2.15626 | ||||||||
\(317\) | −3.80278 | − | 6.58660i | −0.213585 | − | 0.369940i | 0.739249 | − | 0.673432i | \(-0.235181\pi\) |
−0.952834 | + | 0.303492i | \(0.901847\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.21110 | + | 5.56179i | −0.179787 | + | 0.311401i | ||||
\(320\) | −6.40833 | + | 11.0995i | −0.358236 | + | 0.620484i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.00000 | + | 15.5885i | 0.501550 | + | 0.868711i | ||||
\(323\) | −5.78890 | −0.322103 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.60555 | 0.366410 | ||||||||
\(326\) | −2.30278 | − | 3.98852i | −0.127539 | − | 0.220904i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.90833 | + | 11.9656i | −0.381449 | + | 0.660688i | ||||
\(329\) | 12.0000 | − | 20.7846i | 0.661581 | − | 1.14589i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.6056 | − | 25.2976i | −0.802794 | − | 1.39048i | −0.917770 | − | 0.397111i | \(-0.870013\pi\) |
0.114977 | − | 0.993368i | \(-0.463321\pi\) | |||||||
\(332\) | −9.90833 | −0.543790 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 6.90833 | 0.378007 | ||||||||
\(335\) | −0.394449 | − | 0.683205i | −0.0215510 | − | 0.0373275i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.30278 | + | 5.72058i | −0.179914 | + | 0.311620i | −0.941851 | − | 0.336031i | \(-0.890915\pi\) |
0.761937 | + | 0.647651i | \(0.224249\pi\) | |||||||
\(338\) | −35.2708 | + | 61.0908i | −1.91848 | + | 3.32290i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.65139 | − | 4.59234i | −0.143792 | − | 0.249055i | ||||
\(341\) | 25.8167 | 1.39805 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.7889 | 1.01451 | ||||||||
\(344\) | −0.908327 | − | 1.57327i | −0.0489737 | − | 0.0848249i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.4542 | + | 21.5712i | −0.669540 | + | 1.15968i | ||||
\(347\) | 15.2111 | − | 26.3464i | 0.816575 | − | 1.41435i | −0.0916168 | − | 0.995794i | \(-0.529203\pi\) |
0.908192 | − | 0.418555i | \(-0.137463\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.9222 | + | 27.5781i | 0.852296 | + | 1.47622i | 0.879131 | + | 0.476580i | \(0.158124\pi\) |
−0.0268349 | + | 0.999640i | \(0.508543\pi\) | |||||||
\(350\) | −6.00000 | −0.320713 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 24.4222 | 1.30171 | ||||||||
\(353\) | 10.8167 | + | 18.7350i | 0.575712 | + | 0.997163i | 0.995964 | + | 0.0897554i | \(0.0286085\pi\) |
−0.420251 | + | 0.907408i | \(0.638058\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.69722 | + | 6.40378i | −0.196228 | + | 0.339877i | ||||
\(356\) | −22.8167 | + | 39.5196i | −1.20928 | + | 2.09453i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −24.4222 | − | 42.3005i | −1.29075 | − | 2.23565i | ||||
\(359\) | 9.63331 | 0.508427 | 0.254213 | − | 0.967148i | \(-0.418183\pi\) | ||||
0.254213 | + | 0.967148i | \(0.418183\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.00000 | −0.315789 | ||||||||
\(362\) | 8.05971 | + | 13.9598i | 0.423609 | + | 0.733713i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 28.4222 | − | 49.2287i | 1.48973 | − | 2.58029i | ||||
\(365\) | 6.30278 | − | 10.9167i | 0.329902 | − | 0.571408i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.30278 | + | 2.25647i | 0.0680043 | + | 0.117787i | 0.898023 | − | 0.439949i | \(-0.145003\pi\) |
−0.830018 | + | 0.557736i | \(0.811670\pi\) | |||||||
\(368\) | 0.908327 | 0.0473498 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.60555 | −0.239431 | ||||||||
\(371\) | −2.09167 | − | 3.62288i | −0.108594 | − | 0.188091i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.6056 | − | 21.8335i | 0.652691 | − | 1.13049i | −0.329777 | − | 0.944059i | \(-0.606973\pi\) |
0.982467 | − | 0.186434i | \(-0.0596932\pi\) | |||||||
\(374\) | −8.51388 | + | 14.7465i | −0.440242 | + | 0.762522i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −13.8167 | − | 23.9311i | −0.712540 | − | 1.23415i | ||||
\(377\) | −9.21110 | −0.474396 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 21.6056 | 1.10980 | 0.554901 | − | 0.831916i | \(-0.312756\pi\) | ||||
0.554901 | + | 0.831916i | \(0.312756\pi\) | |||||||
\(380\) | 5.95416 | + | 10.3129i | 0.305442 | + | 0.529041i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.3028 | + | 24.7731i | −0.731794 | + | 1.26750i | ||||
\(383\) | 12.3167 | − | 21.3331i | 0.629352 | − | 1.09007i | −0.358330 | − | 0.933595i | \(-0.616654\pi\) |
0.987682 | − | 0.156474i | \(-0.0500128\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 6.00000 | + | 10.3923i | 0.305788 | + | 0.529641i | ||||
\(386\) | 0.422205 | 0.0214897 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 26.4222 | 1.34138 | ||||||||
\(389\) | 12.9083 | + | 22.3579i | 0.654478 | + | 1.13359i | 0.982024 | + | 0.188754i | \(0.0604450\pi\) |
−0.327546 | + | 0.944835i | \(0.606222\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.40833 | − | 4.17134i | 0.121794 | − | 0.210954i | ||||
\(392\) | 0.316654 | − | 0.548461i | 0.0159934 | − | 0.0277014i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −26.2708 | − | 45.5024i | −1.32350 | − | 2.29238i | ||||
\(395\) | 11.6056 | 0.583939 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.39445 | −0.270740 | −0.135370 | − | 0.990795i | \(-0.543222\pi\) | ||||
−0.135370 | + | 0.990795i | \(0.543222\pi\) | |||||||
\(398\) | 1.39445 | + | 2.41526i | 0.0698974 | + | 0.121066i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.151388 | + | 0.262211i | −0.00756939 | + | 0.0131106i | ||||
\(401\) | −15.0000 | + | 25.9808i | −0.749064 | + | 1.29742i | 0.199207 | + | 0.979957i | \(0.436163\pi\) |
−0.948272 | + | 0.317460i | \(0.897170\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.5139 | + | 32.0670i | 0.922242 | + | 1.59737i | ||||
\(404\) | −39.6333 | −1.97183 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 8.36669 | 0.415232 | ||||||||
\(407\) | 4.60555 | + | 7.97705i | 0.228289 | + | 0.395408i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.50000 | + | 4.33013i | −0.123617 | + | 0.214111i | −0.921192 | − | 0.389109i | \(-0.872783\pi\) |
0.797574 | + | 0.603220i | \(0.206116\pi\) | |||||||
\(410\) | 5.30278 | − | 9.18468i | 0.261885 | − | 0.453599i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.60555 | + | 11.4412i | 0.325432 | + | 0.563665i | ||||
\(413\) | −3.63331 | −0.178783 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.00000 | 0.147264 | ||||||||
\(416\) | 17.5139 | + | 30.3349i | 0.858689 | + | 1.48729i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 19.1194 | − | 33.1158i | 0.935162 | − | 1.61975i | ||||
\(419\) | 11.5139 | − | 19.9426i | 0.562490 | − | 0.974261i | −0.434789 | − | 0.900533i | \(-0.643177\pi\) |
0.997278 | − | 0.0737283i | \(-0.0234898\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.71110 | − | 4.69577i | −0.132131 | − | 0.228858i | 0.792367 | − | 0.610045i | \(-0.208849\pi\) |
−0.924498 | + | 0.381187i | \(0.875515\pi\) | |||||||
\(422\) | −20.3028 | −0.988324 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.81665 | −0.233917 | ||||||||
\(425\) | 0.802776 | + | 1.39045i | 0.0389403 | + | 0.0674466i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.48612 | + | 9.50224i | −0.265492 | + | 0.459846i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.697224 | + | 1.20763i | 0.0336231 | + | 0.0582370i | ||||
\(431\) | −4.18335 | −0.201505 | −0.100752 | − | 0.994912i | \(-0.532125\pi\) | ||||
−0.100752 | + | 0.994912i | \(0.532125\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 22.2389 | 1.06873 | 0.534366 | − | 0.845253i | \(-0.320551\pi\) | ||||
0.534366 | + | 0.845253i | \(0.320551\pi\) | |||||||
\(434\) | −16.8167 | − | 29.1273i | −0.807225 | − | 1.39816i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.5597 | − | 20.0220i | 0.553610 | − | 0.958881i | ||||
\(437\) | −5.40833 | + | 9.36750i | −0.258715 | + | 0.448108i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.8028 | − | 23.9071i | −0.658771 | − | 1.14102i | −0.980934 | − | 0.194340i | \(-0.937743\pi\) |
0.322164 | − | 0.946684i | \(-0.395590\pi\) | |||||||
\(440\) | 13.8167 | 0.658683 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −24.4222 | −1.16165 | ||||||||
\(443\) | −12.3167 | − | 21.3331i | −0.585182 | − | 1.01356i | −0.994853 | − | 0.101331i | \(-0.967690\pi\) |
0.409671 | − | 0.912233i | \(-0.365644\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.90833 | − | 11.9656i | 0.327486 | − | 0.567223i | ||||
\(446\) | 11.5139 | − | 19.9426i | 0.545198 | − | 0.944311i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −16.6972 | − | 28.9204i | −0.788870 | − | 1.36636i | ||||
\(449\) | −38.2389 | −1.80460 | −0.902302 | − | 0.431105i | \(-0.858124\pi\) | ||||
−0.902302 | + | 0.431105i | \(0.858124\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −21.2111 | −0.998792 | ||||||||
\(452\) | −25.1194 | − | 43.5081i | −1.18152 | − | 2.04645i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −13.5736 | + | 23.5102i | −0.637040 | + | 1.10339i | ||||
\(455\) | −8.60555 | + | 14.9053i | −0.403434 | + | 0.698769i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.60555 | + | 11.4412i | 0.308995 | + | 0.535194i | 0.978143 | − | 0.207935i | \(-0.0666741\pi\) |
−0.669148 | + | 0.743129i | \(0.733341\pi\) | |||||||
\(458\) | 18.9083 | 0.883528 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.90833 | −0.461978 | ||||||||
\(461\) | 10.8167 | + | 18.7350i | 0.503782 | + | 0.872576i | 0.999990 | + | 0.00437236i | \(0.00139177\pi\) |
−0.496209 | + | 0.868203i | \(0.665275\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.394449 | − | 0.683205i | 0.0183316 | − | 0.0317512i | −0.856714 | − | 0.515792i | \(-0.827498\pi\) |
0.875046 | + | 0.484040i | \(0.160831\pi\) | |||||||
\(464\) | 0.211103 | − | 0.365640i | 0.00980019 | − | 0.0169744i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.7250 | − | 35.8967i | −0.960066 | − | 1.66288i | ||||
\(467\) | −12.2111 | −0.565062 | −0.282531 | − | 0.959258i | \(-0.591174\pi\) | ||||
−0.282531 | + | 0.959258i | \(0.591174\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.05551 | 0.0949148 | ||||||||
\(470\) | 10.6056 | + | 18.3694i | 0.489198 | + | 0.847315i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.09167 | + | 3.62288i | −0.0962771 | + | 0.166757i | ||||
\(473\) | 1.39445 | − | 2.41526i | 0.0641168 | − | 0.111054i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.80278 | − | 3.12250i | −0.0827170 | − | 0.143270i | ||||
\(476\) | 13.8167 | 0.633285 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 35.0278 | 1.60213 | ||||||||
\(479\) | −18.9083 | − | 32.7502i | −0.863944 | − | 1.49639i | −0.868092 | − | 0.496403i | \(-0.834654\pi\) |
0.00414888 | − | 0.999991i | \(-0.498679\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.60555 | + | 11.4412i | −0.301187 | + | 0.521672i | ||||
\(482\) | −15.8764 | + | 27.4987i | −0.723149 | + | 1.25253i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −16.8625 | − | 29.2067i | −0.766477 | − | 1.32758i | ||||
\(485\) | −8.00000 | −0.363261 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −29.8167 | −1.35112 | −0.675561 | − | 0.737304i | \(-0.736098\pi\) | ||||
−0.675561 | + | 0.737304i | \(0.736098\pi\) | |||||||
\(488\) | 6.31665 | + | 10.9408i | 0.285941 | + | 0.495265i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.243061 | + | 0.420994i | −0.0109804 | + | 0.0190186i | ||||
\(491\) | 13.6056 | − | 23.5655i | 0.614010 | − | 1.06350i | −0.376547 | − | 0.926397i | \(-0.622889\pi\) |
0.990557 | − | 0.137099i | \(-0.0437779\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.11943 | − | 1.93891i | −0.0504166 | − | 0.0873241i | ||||
\(494\) | 54.8444 | 2.46757 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.69722 | −0.0762076 | ||||||||
\(497\) | −9.63331 | − | 16.6854i | −0.432113 | − | 0.748442i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.1972 | − | 17.6621i | 0.456490 | − | 0.790665i | −0.542282 | − | 0.840196i | \(-0.682440\pi\) |
0.998773 | + | 0.0495318i | \(0.0157729\pi\) | |||||||
\(500\) | 1.65139 | − | 2.86029i | 0.0738523 | − | 0.127916i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 31.8167 | + | 55.1081i | 1.42005 | + | 2.45959i | ||||
\(503\) | −2.57779 | −0.114938 | −0.0574691 | − | 0.998347i | \(-0.518303\pi\) | ||||
−0.0574691 | + | 0.998347i | \(0.518303\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.0000 | 0.533993 | ||||||||
\(506\) | 15.9083 | + | 27.5540i | 0.707211 | + | 1.22493i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 31.7250 | − | 54.9493i | 1.40757 | − | 2.43798i | ||||
\(509\) | −12.4222 | + | 21.5159i | −0.550605 | + | 0.953675i | 0.447626 | + | 0.894221i | \(0.352269\pi\) |
−0.998231 | + | 0.0594544i | \(0.981064\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 16.4222 | + | 28.4441i | 0.726476 | + | 1.25829i | ||||
\(512\) | −3.42221 | −0.151242 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.72498 | −0.120194 | ||||||||
\(515\) | −2.00000 | − | 3.46410i | −0.0881305 | − | 0.152647i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21.2111 | − | 36.7387i | 0.932863 | − | 1.61577i | ||||
\(518\) | 6.00000 | − | 10.3923i | 0.263625 | − | 0.456612i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.90833 | + | 17.1617i | 0.434509 | + | 0.752591i | ||||
\(521\) | 28.6056 | 1.25323 | 0.626616 | − | 0.779328i | \(-0.284439\pi\) | ||||
0.626616 | + | 0.779328i | \(0.284439\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 30.6056 | 1.33829 | 0.669144 | − | 0.743133i | \(-0.266661\pi\) | ||||
0.669144 | + | 0.743133i | \(0.266661\pi\) | |||||||
\(524\) | 9.90833 | + | 17.1617i | 0.432847 | + | 0.749713i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.21110 | + | 5.56179i | −0.140011 | + | 0.242506i | ||||
\(527\) | −4.50000 | + | 7.79423i | −0.196023 | + | 0.339522i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.00000 | + | 12.1244i | 0.304348 | + | 0.527146i | ||||
\(530\) | 3.69722 | 0.160597 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −31.0278 | −1.34522 | ||||||||
\(533\) | −15.2111 | − | 26.3464i | −0.658866 | − | 1.14119i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.18335 | − | 2.04962i | 0.0511128 | − | 0.0885299i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.69722 | − | 6.40378i | −0.159399 | − | 0.276087i | ||||
\(539\) | 0.972244 | 0.0418775 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −40.4222 | −1.73789 | −0.868943 | − | 0.494912i | \(-0.835200\pi\) | ||||
−0.868943 | + | 0.494912i | \(0.835200\pi\) | |||||||
\(542\) | −35.9680 | − | 62.2985i | −1.54496 | − | 2.67595i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.25694 | + | 7.37323i | −0.182515 | + | 0.316125i | ||||
\(545\) | −3.50000 | + | 6.06218i | −0.149924 | + | 0.259675i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.302776 | − | 0.524423i | −0.0129458 | − | 0.0224227i | 0.859480 | − | 0.511169i | \(-0.170788\pi\) |
−0.872426 | + | 0.488747i | \(0.837454\pi\) | |||||||
\(548\) | −55.5416 | −2.37262 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.6056 | −0.452222 | ||||||||
\(551\) | 2.51388 | + | 4.35416i | 0.107095 | + | 0.185494i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.1194 | + | 26.1876i | −0.642944 | + | 1.11361i | ||||
\(554\) | −8.09167 | + | 14.0152i | −0.343782 | + | 0.595448i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.60555 | + | 11.4412i | 0.280138 | + | 0.485213i | ||||
\(557\) | −9.63331 | −0.408176 | −0.204088 | − | 0.978953i | \(-0.565423\pi\) | ||||
−0.204088 | + | 0.978953i | \(0.565423\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.00000 | 0.169182 | ||||||||
\(560\) | −0.394449 | − | 0.683205i | −0.0166685 | − | 0.0288707i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −22.8167 | + | 39.5196i | −0.962462 | + | 1.66703i | ||||
\(563\) | 12.0000 | − | 20.7846i | 0.505740 | − | 0.875967i | −0.494238 | − | 0.869326i | \(-0.664553\pi\) |
0.999978 | − | 0.00664037i | \(-0.00211371\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.60555 | + | 13.1732i | 0.319968 | + | 0.554201i | ||||
\(566\) | 7.81665 | 0.328558 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −22.1833 | −0.930793 | ||||||||
\(569\) | 8.09167 | + | 14.0152i | 0.339221 | + | 0.587547i | 0.984286 | − | 0.176580i | \(-0.0565034\pi\) |
−0.645066 | + | 0.764127i | \(0.723170\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.2250 | + | 24.6384i | −0.595297 | + | 1.03108i | 0.398208 | + | 0.917295i | \(0.369632\pi\) |
−0.993505 | + | 0.113789i | \(0.963701\pi\) | |||||||
\(572\) | 50.2389 | − | 87.0163i | 2.10059 | − | 3.63833i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.8167 | + | 23.9311i | 0.576696 | + | 0.998867i | ||||
\(575\) | 3.00000 | 0.125109 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.18335 | 0.257416 | 0.128708 | − | 0.991683i | \(-0.458917\pi\) | ||||
0.128708 | + | 0.991683i | \(0.458917\pi\) | |||||||
\(578\) | 16.6056 | + | 28.7617i | 0.690700 | + | 1.19633i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.30278 | + | 3.98852i | −0.0956176 | + | 0.165614i | ||||
\(581\) | −3.90833 | + | 6.76942i | −0.162145 | + | 0.280843i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.69722 | − | 6.40378i | −0.153123 | − | 0.265217i | ||||
\(584\) | 37.8167 | 1.56486 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 16.5416 | 0.683329 | ||||||||
\(587\) | 10.5000 | + | 18.1865i | 0.433381 | + | 0.750639i | 0.997162 | − | 0.0752860i | \(-0.0239870\pi\) |
−0.563781 | + | 0.825925i | \(0.690654\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.1056 | − | 17.5033i | 0.416392 | − | 0.721212i | ||||
\(590\) | 1.60555 | − | 2.78090i | 0.0660995 | − | 0.114488i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.302776 | − | 0.524423i | −0.0124440 | − | 0.0215536i | ||||
\(593\) | 29.2389 | 1.20070 | 0.600348 | − | 0.799739i | \(-0.295029\pi\) | ||||
0.600348 | + | 0.799739i | \(0.295029\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.18335 | −0.171500 | ||||||||
\(596\) | 38.0278 | + | 65.8660i | 1.55768 | + | 2.69798i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −22.8167 | + | 39.5196i | −0.933042 | + | 1.61608i | ||||
\(599\) | −11.3028 | + | 19.5770i | −0.461819 | + | 0.799894i | −0.999052 | − | 0.0435402i | \(-0.986136\pi\) |
0.537233 | + | 0.843434i | \(0.319470\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.31665 | + | 9.20871i | 0.216871 | + | 0.375631i | 0.953850 | − | 0.300285i | \(-0.0970816\pi\) |
−0.736979 | + | 0.675916i | \(0.763748\pi\) | |||||||
\(602\) | −3.63331 | −0.148083 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 47.6333 | 1.93817 | ||||||||
\(605\) | 5.10555 | + | 8.84307i | 0.207570 | + | 0.359522i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.3028 | + | 21.3090i | −0.499354 | + | 0.864907i | −1.00000 | 0.000745477i | \(-0.999763\pi\) | |
0.500645 | + | 0.865652i | \(0.333096\pi\) | |||||||
\(608\) | 9.55971 | − | 16.5579i | 0.387698 | − | 0.671512i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.84861 | − | 8.39804i | −0.196315 | − | 0.340027i | ||||
\(611\) | 60.8444 | 2.46150 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −28.8444 | −1.16501 | −0.582507 | − | 0.812825i | \(-0.697928\pi\) | ||||
−0.582507 | + | 0.812825i | \(0.697928\pi\) | |||||||
\(614\) | −9.69722 | − | 16.7961i | −0.391348 | − | 0.677835i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −18.0000 | + | 31.1769i | −0.725241 | + | 1.25615i | ||||
\(617\) | 19.2250 | − | 33.2986i | 0.773969 | − | 1.34055i | −0.161404 | − | 0.986888i | \(-0.551602\pi\) |
0.935372 | − | 0.353664i | \(-0.115065\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.8167 | − | 30.8593i | −0.716112 | − | 1.24034i | −0.962529 | − | 0.271178i | \(-0.912587\pi\) |
0.246417 | − | 0.969164i | \(-0.420747\pi\) | |||||||
\(620\) | 18.5139 | 0.743535 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 18.0000 | 0.721734 | ||||||||
\(623\) | 18.0000 | + | 31.1769i | 0.721155 | + | 1.24908i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 22.6056 | − | 39.1540i | 0.903500 | − | 1.56491i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 29.4222 | + | 50.9608i | 1.17407 | + | 2.03356i | ||||
\(629\) | −3.21110 | −0.128035 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.02776 | −0.239961 | −0.119981 | − | 0.992776i | \(-0.538283\pi\) | ||||
−0.119981 | + | 0.992776i | \(0.538283\pi\) | |||||||
\(632\) | 17.4083 | + | 30.1521i | 0.692466 | + | 1.19939i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −8.75694 | + | 15.1675i | −0.347782 | + | 0.602377i | ||||
\(635\) | −9.60555 | + | 16.6373i | −0.381185 | + | 0.660231i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.697224 | + | 1.20763i | 0.0276250 | + | 0.0478480i | ||||
\(638\) | 14.7889 | 0.585498 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 18.9083 | 0.747417 | ||||||||
\(641\) | −12.0000 | − | 20.7846i | −0.473972 | − | 0.820943i | 0.525584 | − | 0.850741i | \(-0.323847\pi\) |
−0.999556 | + | 0.0297987i | \(0.990513\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.51388 | + | 11.2824i | −0.256882 | + | 0.444933i | −0.965405 | − | 0.260755i | \(-0.916029\pi\) |
0.708523 | + | 0.705688i | \(0.249362\pi\) | |||||||
\(644\) | 12.9083 | − | 22.3579i | 0.508659 | − | 0.881024i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.66527 | + | 11.5446i | 0.262241 | + | 0.454215i | ||||
\(647\) | −23.7889 | −0.935238 | −0.467619 | − | 0.883930i | \(-0.654888\pi\) | ||||
−0.467619 | + | 0.883930i | \(0.654888\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.42221 | −0.252094 | ||||||||
\(650\) | −7.60555 | − | 13.1732i | −0.298314 | − | 0.516695i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.30278 | + | 5.72058i | −0.129347 | + | 0.224035i | ||||
\(653\) | −11.6194 | + | 20.1254i | −0.454703 | + | 0.787569i | −0.998671 | − | 0.0515368i | \(-0.983588\pi\) |
0.543968 | + | 0.839106i | \(0.316921\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.00000 | − | 5.19615i | −0.117220 | − | 0.203030i | ||||
\(656\) | 1.39445 | 0.0544441 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −55.2666 | −2.15452 | ||||||||
\(659\) | −6.69722 | − | 11.5999i | −0.260887 | − | 0.451869i | 0.705591 | − | 0.708619i | \(-0.250682\pi\) |
−0.966478 | + | 0.256750i | \(0.917348\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.4222 | − | 30.1761i | 0.677645 | − | 1.17372i | −0.298043 | − | 0.954552i | \(-0.596334\pi\) |
0.975688 | − | 0.219164i | \(-0.0703328\pi\) | |||||||
\(662\) | −33.6333 | + | 58.2546i | −1.30720 | + | 2.26413i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.50000 | + | 7.79423i | 0.174634 | + | 0.302475i | ||||
\(665\) | 9.39445 | 0.364301 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.18335 | −0.161980 | ||||||||
\(668\) | −4.95416 | − | 8.58086i | −0.191682 | − | 0.332004i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.908327 | + | 1.57327i | −0.0350917 | + | 0.0607807i | ||||
\(671\) | −9.69722 | + | 16.7961i | −0.374357 | + | 0.648406i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.5139 | − | 21.6747i | −0.482375 | − | 0.835497i | 0.517421 | − | 0.855731i | \(-0.326892\pi\) |
−0.999795 | + | 0.0202339i | \(0.993559\pi\) | |||||||
\(674\) | 15.2111 | 0.585910 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 101.175 | 3.89134 | ||||||||
\(677\) | 10.8167 | + | 18.7350i | 0.415718 | + | 0.720044i | 0.995504 | − | 0.0947247i | \(-0.0301971\pi\) |
−0.579786 | + | 0.814769i | \(0.696864\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.4222 | − | 18.0518i | 0.399968 | − | 0.692764i | ||||
\(680\) | −2.40833 | + | 4.17134i | −0.0923551 | + | 0.159964i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −29.7250 | − | 51.4852i | −1.13823 | − | 1.97147i | ||||
\(683\) | 9.00000 | 0.344375 | 0.172188 | − | 0.985064i | \(-0.444916\pi\) | ||||
0.172188 | + | 0.985064i | \(0.444916\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.8167 | 0.642531 | ||||||||
\(686\) | −21.6333 | − | 37.4700i | −0.825964 | − | 1.43061i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.0916731 | + | 0.158782i | −0.00349500 | + | 0.00605352i | ||||
\(689\) | 5.30278 | − | 9.18468i | 0.202020 | − | 0.349908i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.80278 | − | 8.31865i | −0.182706 | − | 0.316456i | 0.760095 | − | 0.649812i | \(-0.225152\pi\) |
−0.942801 | + | 0.333356i | \(0.891819\pi\) | |||||||
\(692\) | 35.7250 | 1.35806 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −70.0555 | −2.65927 | ||||||||
\(695\) | −2.00000 | − | 3.46410i | −0.0758643 | − | 0.131401i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.69722 | − | 6.40378i | 0.140042 | − | 0.242560i | ||||
\(698\) | 36.6653 | − | 63.5061i | 1.38780 | − | 2.40374i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 4.30278 | + | 7.45263i | 0.162630 | + | 0.281683i | ||||
\(701\) | −11.5778 | −0.437287 | −0.218644 | − | 0.975805i | \(-0.570163\pi\) | ||||
−0.218644 | + | 0.975805i | \(0.570163\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.21110 | 0.271972 | ||||||||
\(704\) | −29.5139 | − | 51.1195i | −1.11235 | − | 1.92664i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 24.9083 | − | 43.1425i | 0.937437 | − | 1.62369i | ||||
\(707\) | −15.6333 | + | 27.0777i | −0.587951 | + | 1.01836i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.4222 | + | 19.7838i | 0.428970 | + | 0.742998i | 0.996782 | − | 0.0801605i | \(-0.0255433\pi\) |
−0.567812 | + | 0.823158i | \(0.692210\pi\) | |||||||
\(710\) | 17.0278 | 0.639040 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 41.4500 | 1.55340 | ||||||||
\(713\) | 8.40833 | + | 14.5636i | 0.314894 | + | 0.545413i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −15.2111 | + | 26.3464i | −0.568863 | + | 0.985300i | ||||
\(716\) | −35.0278 | + | 60.6699i | −1.30905 | + | 2.26734i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.0917 | − | 19.2113i | −0.413938 | − | 0.716961i | ||||
\(719\) | −37.2666 | −1.38981 | −0.694905 | − | 0.719101i | \(-0.744554\pi\) | ||||
−0.694905 | + | 0.719101i | \(0.744554\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.4222 | 0.388143 | ||||||||
\(722\) | 6.90833 | + | 11.9656i | 0.257101 | + | 0.445313i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 11.5597 | − | 20.0220i | 0.429613 | − | 0.744112i | ||||
\(725\) | 0.697224 | − | 1.20763i | 0.0258943 | − | 0.0448502i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.8167 | − | 30.8593i | −0.660783 | − | 1.14451i | −0.980410 | − | 0.196967i | \(-0.936891\pi\) |
0.319627 | − | 0.947543i | \(-0.396442\pi\) | |||||||
\(728\) | −51.6333 | −1.91366 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −29.0278 | −1.07437 | ||||||||
\(731\) | 0.486122 | + | 0.841988i | 0.0179799 | + | 0.0311420i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.0000 | + | 27.7128i | −0.590973 | + | 1.02360i | 0.403128 | + | 0.915144i | \(0.367923\pi\) |
−0.994102 | + | 0.108453i | \(0.965410\pi\) | |||||||
\(734\) | 3.00000 | − | 5.19615i | 0.110732 | − | 0.191793i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.95416 | + | 13.7770i | 0.293194 | + | 0.507828i | ||||
\(737\) | 3.63331 | 0.133835 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.02776 | −0.221735 | −0.110867 | − | 0.993835i | \(-0.535363\pi\) | ||||
−0.110867 | + | 0.993835i | \(0.535363\pi\) | |||||||
\(740\) | 3.30278 | + | 5.72058i | 0.121412 | + | 0.210293i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.81665 | + | 8.34269i | −0.176825 | + | 0.306270i | ||||
\(743\) | −2.78890 | + | 4.83051i | −0.102315 | + | 0.177214i | −0.912638 | − | 0.408769i | \(-0.865958\pi\) |
0.810323 | + | 0.585983i | \(0.199292\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.5139 | − | 19.9426i | −0.421836 | − | 0.730641i | ||||
\(746\) | −58.0555 | −2.12556 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 24.4222 | 0.892964 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.0139 | − | 26.0048i | 0.547864 | − | 0.948929i | −0.450556 | − | 0.892748i | \(-0.648774\pi\) |
0.998421 | − | 0.0561807i | \(-0.0178923\pi\) | |||||||
\(752\) | −1.39445 | + | 2.41526i | −0.0508503 | + | 0.0880753i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 10.6056 | + | 18.3694i | 0.386231 | + | 0.668972i | ||||
\(755\) | −14.4222 | −0.524878 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.7889 | 0.610203 | 0.305101 | − | 0.952320i | \(-0.401310\pi\) | ||||
0.305101 | + | 0.952320i | \(0.401310\pi\) | |||||||
\(758\) | −24.8764 | − | 43.0871i | −0.903550 | − | 1.56500i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.40833 | − | 9.36750i | 0.196181 | − | 0.339795i | ||||
\(761\) | 5.72498 | − | 9.91596i | 0.207530 | − | 0.359453i | −0.743406 | − | 0.668841i | \(-0.766791\pi\) |
0.950936 | + | 0.309388i | \(0.100124\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.11943 | − | 15.7953i | −0.330146 | − | 0.571829i | ||||
\(764\) | 41.0278 | 1.48433 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −56.7250 | −2.04956 | ||||||||
\(767\) | −4.60555 | − | 7.97705i | −0.166297 | − | 0.288035i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.5000 | + | 35.5070i | −0.739249 | + | 1.28042i | 0.213585 | + | 0.976924i | \(0.431486\pi\) |
−0.952834 | + | 0.303492i | \(0.901847\pi\) | |||||||
\(770\) | 13.8167 | − | 23.9311i | 0.497918 | − | 0.862419i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.302776 | − | 0.524423i | −0.0108971 | − | 0.0188744i | ||||
\(773\) | 4.81665 | 0.173243 | 0.0866215 | − | 0.996241i | \(-0.472393\pi\) | ||||
0.0866215 | + | 0.996241i | \(0.472393\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.60555 | −0.201357 | ||||||||
\(776\) | −12.0000 | − | 20.7846i | −0.430775 | − | 0.746124i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 29.7250 | − | 51.4852i | 1.06569 | − | 1.84583i | ||||
\(779\) | −8.30278 | + | 14.3808i | −0.297478 | + | 0.515247i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.0278 | − | 29.4929i | −0.609301 | − | 1.05534i | ||||
\(782\) | −11.0917 | −0.396637 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.0639167 | −0.00228274 | ||||||||
\(785\) | −8.90833 | − | <