Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [603,2,Mod(37,603)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(603, 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("603.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 603 = 3^{2} \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 603.g (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: | \(4.81497924188\) |
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: | \( x^{12} + 11x^{10} + 89x^{8} + 326x^{6} + 881x^{4} + 416x^{2} + 169 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 163.4 | ||
Root | \(-0.347450 + 0.601802i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 603.163 |
Dual form | 603.2.g.h.37.4 |
$q$-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 \(\left(\mathbb{Z}/603\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(470\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.347450 | − | 0.601802i | 0.245684 | − | 0.425538i | −0.716639 | − | 0.697444i | \(-0.754321\pi\) |
0.962324 | + | 0.271906i | \(0.0876540\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.758557 | + | 1.31386i | 0.379278 | + | 0.656929i | ||||
\(5\) | −3.13894 | −1.40378 | −0.701889 | − | 0.712286i | \(-0.747660\pi\) | ||||
−0.701889 | + | 0.712286i | \(0.747660\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.667930 | + | 1.15689i | 0.252454 | + | 0.437263i | 0.964201 | − | 0.265173i | \(-0.0854292\pi\) |
−0.711747 | + | 0.702436i | \(0.752096\pi\) | |||||||
\(8\) | 2.44404 | 0.864100 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.09063 | + | 1.88902i | −0.344887 | + | 0.597361i | ||||
\(11\) | −0.694901 | − | 1.20360i | −0.209520 | − | 0.362900i | 0.742043 | − | 0.670352i | \(-0.233857\pi\) |
−0.951564 | + | 0.307452i | \(0.900524\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.75856 | + | 4.77796i | −0.765086 | + | 1.32517i | 0.175115 | + | 0.984548i | \(0.443970\pi\) |
−0.940201 | + | 0.340620i | \(0.889363\pi\) | |||||||
\(14\) | 0.928289 | 0.248096 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.667930 | + | 1.15689i | −0.166982 | + | 0.289222i | ||||
\(17\) | −1.22202 | + | 2.11660i | −0.296384 | + | 0.513352i | −0.975306 | − | 0.220859i | \(-0.929114\pi\) |
0.678922 | + | 0.734210i | \(0.262447\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.926486 | − | 1.60472i | 0.212550 | − | 0.368148i | −0.739962 | − | 0.672649i | \(-0.765156\pi\) |
0.952512 | + | 0.304501i | \(0.0984897\pi\) | |||||||
\(20\) | −2.38107 | − | 4.12413i | −0.532423 | − | 0.922183i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.965774 | −0.205904 | ||||||||
\(23\) | −3.25564 | + | 5.63893i | −0.678848 | + | 1.17580i | 0.296481 | + | 0.955039i | \(0.404187\pi\) |
−0.975328 | + | 0.220760i | \(0.929146\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.85297 | 0.970594 | ||||||||
\(26\) | 1.91692 | + | 3.32021i | 0.375939 | + | 0.651146i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.01332 | + | 1.75513i | −0.191500 | + | 0.331688i | ||||
\(29\) | 1.68617 | + | 2.92053i | 0.313113 | + | 0.542328i | 0.979035 | − | 0.203694i | \(-0.0652947\pi\) |
−0.665921 | + | 0.746022i | \(0.731961\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.335859 | − | 0.581725i | −0.0603221 | − | 0.104481i | 0.834287 | − | 0.551330i | \(-0.185879\pi\) |
−0.894609 | + | 0.446849i | \(0.852546\pi\) | |||||||
\(32\) | 2.90819 | + | 5.03713i | 0.514100 | + | 0.890447i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.849184 | + | 1.47083i | 0.145634 | + | 0.252245i | ||||
\(35\) | −2.09659 | − | 3.63141i | −0.354389 | − | 0.613820i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.09442 | + | 8.82379i | −0.837517 | + | 1.45062i | 0.0544480 | + | 0.998517i | \(0.482660\pi\) |
−0.891965 | + | 0.452105i | \(0.850673\pi\) | |||||||
\(38\) | −0.643816 | − | 1.11512i | −0.104441 | − | 0.180897i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.67172 | −1.21301 | ||||||||
\(41\) | 2.03362 | + | 3.52233i | 0.317598 | + | 0.550095i | 0.979986 | − | 0.199065i | \(-0.0637906\pi\) |
−0.662389 | + | 0.749160i | \(0.730457\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.51711 | 0.688853 | 0.344427 | − | 0.938813i | \(-0.388073\pi\) | ||||
0.344427 | + | 0.938813i | \(0.388073\pi\) | |||||||
\(44\) | 1.05424 | − | 1.82600i | 0.158933 | − | 0.275280i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.26235 | + | 3.91850i | 0.333565 | + | 0.577751i | ||||
\(47\) | −5.17256 | − | 8.95914i | −0.754496 | − | 1.30682i | −0.945625 | − | 0.325260i | \(-0.894548\pi\) |
0.191129 | − | 0.981565i | \(-0.438785\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.60774 | − | 4.51674i | 0.372534 | − | 0.645248i | ||||
\(50\) | 1.68617 | − | 2.92053i | 0.238460 | − | 0.413025i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −8.37009 | −1.16072 | ||||||||
\(53\) | 5.22365 | 0.717523 | 0.358761 | − | 0.933429i | \(-0.383199\pi\) | ||||
0.358761 | + | 0.933429i | \(0.383199\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.18125 | + | 3.77804i | 0.294120 | + | 0.509431i | ||||
\(56\) | 1.63245 | + | 2.82748i | 0.218145 | + | 0.377839i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.34344 | 0.307708 | ||||||||
\(59\) | 0.461512 | 0.0600837 | 0.0300419 | − | 0.999549i | \(-0.490436\pi\) | ||||
0.0300419 | + | 0.999549i | \(0.490436\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.33207 | − | 2.30721i | 0.170554 | − | 0.295408i | −0.768060 | − | 0.640378i | \(-0.778778\pi\) |
0.938614 | + | 0.344970i | \(0.112111\pi\) | |||||||
\(62\) | −0.466777 | −0.0592808 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.37009 | 0.171261 | ||||||||
\(65\) | 8.65896 | − | 14.9978i | 1.07401 | − | 1.86024i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.92270 | + | 6.53965i | 0.601403 | + | 0.798946i | ||||
\(68\) | −3.70789 | −0.449648 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.91385 | −0.348271 | ||||||||
\(71\) | −3.25564 | − | 5.63893i | −0.386373 | − | 0.669218i | 0.605585 | − | 0.795780i | \(-0.292939\pi\) |
−0.991959 | + | 0.126562i | \(0.959606\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.43981 | − | 11.1541i | 0.753723 | − | 1.30549i | −0.192284 | − | 0.981339i | \(-0.561589\pi\) |
0.946007 | − | 0.324147i | \(-0.105077\pi\) | |||||||
\(74\) | 3.54011 | + | 6.13165i | 0.411530 | + | 0.712790i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.81117 | 0.322463 | ||||||||
\(77\) | 0.928289 | − | 1.60784i | 0.105788 | − | 0.183231i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.27567 | − | 2.20952i | −0.143524 | − | 0.248591i | 0.785297 | − | 0.619119i | \(-0.212510\pi\) |
−0.928821 | + | 0.370528i | \(0.879177\pi\) | |||||||
\(80\) | 2.09659 | − | 3.63141i | 0.234406 | − | 0.406004i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.82632 | 0.312115 | ||||||||
\(83\) | 1.91692 | − | 3.32021i | 0.210410 | − | 0.364440i | −0.741433 | − | 0.671027i | \(-0.765854\pi\) |
0.951843 | + | 0.306587i | \(0.0991869\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.83586 | − | 6.64390i | 0.416057 | − | 0.720632i | ||||
\(86\) | 1.56947 | − | 2.71841i | 0.169241 | − | 0.293133i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.69837 | − | 2.94166i | −0.181047 | − | 0.313582i | ||||
\(89\) | −8.26042 | −0.875603 | −0.437801 | − | 0.899072i | \(-0.644243\pi\) | ||||
−0.437801 | + | 0.899072i | \(0.644243\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.37009 | −0.772595 | ||||||||
\(92\) | −9.87835 | −1.02989 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.18883 | −0.741471 | ||||||||
\(95\) | −2.90819 | + | 5.03713i | −0.298374 | + | 0.516799i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.15082 | − | 3.72532i | 0.218382 | − | 0.378249i | −0.735931 | − | 0.677056i | \(-0.763255\pi\) |
0.954314 | + | 0.298807i | \(0.0965887\pi\) | |||||||
\(98\) | −1.81212 | − | 3.13868i | −0.183052 | − | 0.317055i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.68125 | + | 6.37612i | 0.368125 | + | 0.637612i | ||||
\(101\) | 9.12310 | + | 15.8017i | 0.907782 | + | 1.57233i | 0.817138 | + | 0.576442i | \(0.195559\pi\) |
0.0906443 | + | 0.995883i | \(0.471107\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.44360 | − | 2.50039i | −0.142242 | − | 0.246370i | 0.786099 | − | 0.618101i | \(-0.212098\pi\) |
−0.928341 | + | 0.371731i | \(0.878764\pi\) | |||||||
\(104\) | −6.74203 | + | 11.6775i | −0.661111 | + | 1.14508i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.81496 | − | 3.14360i | 0.176284 | − | 0.305333i | ||||
\(107\) | 14.7717 | 1.42803 | 0.714017 | − | 0.700128i | \(-0.246874\pi\) | ||||
0.714017 | + | 0.700128i | \(0.246874\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.1813 | −1.07097 | −0.535485 | − | 0.844545i | \(-0.679871\pi\) | ||||
−0.535485 | + | 0.844545i | \(0.679871\pi\) | |||||||
\(110\) | 3.03151 | 0.289043 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.78452 | −0.168621 | ||||||||
\(113\) | 7.15246 | + | 12.3884i | 0.672847 | + | 1.16541i | 0.977093 | + | 0.212812i | \(0.0682621\pi\) |
−0.304246 | + | 0.952593i | \(0.598405\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.2193 | − | 17.7003i | 0.952952 | − | 1.65056i | ||||
\(116\) | −2.55811 | + | 4.43077i | −0.237514 | + | 0.411387i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.160352 | − | 0.277739i | 0.0147616 | − | 0.0255679i | ||||
\(119\) | −3.26490 | −0.299293 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.53423 | − | 7.85351i | 0.412202 | − | 0.713956i | ||||
\(122\) | −0.925657 | − | 1.60328i | −0.0838050 | − | 0.145155i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.509536 | − | 0.882543i | 0.0457577 | − | 0.0792547i | ||||
\(125\) | 0.461512 | 0.0412789 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.59063 | + | 2.75505i | 0.141145 | + | 0.244471i | 0.927928 | − | 0.372759i | \(-0.121588\pi\) |
−0.786783 | + | 0.617230i | \(0.788255\pi\) | |||||||
\(128\) | −5.34034 | + | 9.24974i | −0.472024 | + | 0.817569i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.01711 | − | 10.4219i | −0.527736 | − | 0.914065i | ||||
\(131\) | −13.5862 | −1.18704 | −0.593518 | − | 0.804821i | \(-0.702261\pi\) | ||||
−0.593518 | + | 0.804821i | \(0.702261\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.47531 | 0.214637 | ||||||||
\(134\) | 5.64597 | − | 0.690283i | 0.487737 | − | 0.0596314i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.98668 | + | 5.17307i | −0.256105 | + | 0.443587i | ||||
\(137\) | −8.95532 | −0.765105 | −0.382552 | − | 0.923934i | \(-0.624955\pi\) | ||||
−0.382552 | + | 0.923934i | \(0.624955\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.73259 | 0.571051 | 0.285526 | − | 0.958371i | \(-0.407832\pi\) | ||||
0.285526 | + | 0.958371i | \(0.407832\pi\) | |||||||
\(140\) | 3.18077 | − | 5.50926i | 0.268824 | − | 0.465617i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.52469 | −0.379704 | ||||||||
\(143\) | 7.66769 | 0.641204 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.29278 | − | 9.16737i | −0.439542 | − | 0.761309i | ||||
\(146\) | −4.47503 | − | 7.75098i | −0.370356 | − | 0.641475i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −15.4576 | −1.27061 | ||||||||
\(149\) | −2.90556 | −0.238032 | −0.119016 | − | 0.992892i | \(-0.537974\pi\) | ||||
−0.119016 | + | 0.992892i | \(0.537974\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.7966 | − | 18.7002i | 0.878613 | − | 1.52180i | 0.0257485 | − | 0.999668i | \(-0.491803\pi\) |
0.852864 | − | 0.522133i | \(-0.174864\pi\) | |||||||
\(152\) | 2.26437 | − | 3.92201i | 0.183665 | − | 0.318117i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.645069 | − | 1.11729i | −0.0519811 | − | 0.0900339i | ||||
\(155\) | 1.05424 | + | 1.82600i | 0.0846788 | + | 0.146668i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.85297 | − | 4.94149i | 0.227692 | − | 0.394374i | −0.729432 | − | 0.684054i | \(-0.760215\pi\) |
0.957124 | + | 0.289680i | \(0.0935487\pi\) | |||||||
\(158\) | −1.77293 | −0.141047 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −9.12864 | − | 15.8113i | −0.721683 | − | 1.24999i | ||||
\(161\) | −8.69815 | −0.685510 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.0551 | + | 20.8801i | 0.944231 | + | 1.63546i | 0.757285 | + | 0.653085i | \(0.226526\pi\) |
0.186946 | + | 0.982370i | \(0.440141\pi\) | |||||||
\(164\) | −3.08523 | + | 5.34377i | −0.240916 | + | 0.417278i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.33207 | − | 2.30721i | −0.103389 | − | 0.179075i | ||||
\(167\) | −12.7236 | − | 22.0378i | −0.984578 | − | 1.70534i | −0.643795 | − | 0.765198i | \(-0.722641\pi\) |
−0.340783 | − | 0.940142i | \(-0.610692\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.71927 | − | 15.1022i | −0.670713 | − | 1.16171i | ||||
\(170\) | −2.66554 | − | 4.61685i | −0.204438 | − | 0.354096i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.42649 | + | 5.93485i | 0.261267 | + | 0.452528i | ||||
\(173\) | 3.55200 | − | 6.15225i | 0.270054 | − | 0.467747i | −0.698821 | − | 0.715296i | \(-0.746292\pi\) |
0.968875 | + | 0.247549i | \(0.0796252\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.24144 | + | 5.61434i | 0.245030 | + | 0.424405i | ||||
\(176\) | 1.85658 | 0.139945 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.87009 | + | 4.97113i | −0.215122 | + | 0.372602i | ||||
\(179\) | 2.90556 | 0.217171 | 0.108586 | − | 0.994087i | \(-0.465368\pi\) | ||||
0.108586 | + | 0.994087i | \(0.465368\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.66414 | − | 9.81058i | −0.421012 | − | 0.729215i | 0.575026 | − | 0.818135i | \(-0.304992\pi\) |
−0.996039 | + | 0.0889201i | \(0.971658\pi\) | |||||||
\(182\) | −2.56074 | + | 4.43533i | −0.189815 | + | 0.328768i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −7.95692 | + | 13.7818i | −0.586592 | + | 1.01601i | ||||
\(185\) | 15.9911 | − | 27.6974i | 1.17569 | − | 2.03635i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.39673 | 0.248394 | ||||||||
\(188\) | 7.84736 | − | 13.5920i | 0.572328 | − | 0.991301i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.02090 | + | 3.50030i | 0.146612 | + | 0.253939i | ||||
\(191\) | −10.3570 | + | 17.9389i | −0.749407 | + | 1.29801i | 0.198700 | + | 0.980060i | \(0.436328\pi\) |
−0.948107 | + | 0.317951i | \(0.897005\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.629915 | 0.0453422 | 0.0226711 | − | 0.999743i | \(-0.492783\pi\) | ||||
0.0226711 | + | 0.999743i | \(0.492783\pi\) | |||||||
\(194\) | −1.49460 | − | 2.58873i | −0.107306 | − | 0.185860i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.91247 | 0.565177 | ||||||||
\(197\) | 10.6926 | + | 18.5201i | 0.761814 | + | 1.31950i | 0.941915 | + | 0.335853i | \(0.109024\pi\) |
−0.180100 | + | 0.983648i | \(0.557642\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.83207 | + | 11.8335i | −0.484313 | + | 0.838854i | −0.999838 | − | 0.0180205i | \(-0.994264\pi\) |
0.515525 | + | 0.856875i | \(0.327597\pi\) | |||||||
\(200\) | 11.8609 | 0.838691 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.6793 | 0.892112 | ||||||||
\(203\) | −2.25248 | + | 3.90141i | −0.158093 | + | 0.273825i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.38341 | − | 11.0564i | −0.445837 | − | 0.772212i | ||||
\(206\) | −2.00632 | −0.139787 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.68504 | − | 6.38268i | −0.255512 | − | 0.442559i | ||||
\(209\) | −2.57526 | −0.178135 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.84540 | − | 8.39247i | 0.333571 | − | 0.577762i | −0.649638 | − | 0.760243i | \(-0.725080\pi\) |
0.983209 | + | 0.182482i | \(0.0584131\pi\) | |||||||
\(212\) | 3.96243 | + | 6.86313i | 0.272141 | + | 0.471362i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.13243 | − | 8.88963i | 0.350846 | − | 0.607683i | ||||
\(215\) | −14.1790 | −0.966998 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.448660 | − | 0.777102i | 0.0304570 | − | 0.0527532i | ||||
\(218\) | −3.88493 | + | 6.72890i | −0.263121 | + | 0.455738i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.30921 | + | 5.73172i | −0.223107 | + | 0.386432i | ||||
\(221\) | −6.74203 | − | 11.6775i | −0.453518 | − | 0.785517i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.71352 | 0.583501 | 0.291750 | − | 0.956495i | \(-0.405762\pi\) | ||||
0.291750 | + | 0.956495i | \(0.405762\pi\) | |||||||
\(224\) | −3.88493 | + | 6.72890i | −0.259573 | + | 0.449593i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.94050 | 0.661232 | ||||||||
\(227\) | 11.6812 | + | 20.2324i | 0.775309 | + | 1.34287i | 0.934621 | + | 0.355646i | \(0.115739\pi\) |
−0.159312 | + | 0.987228i | \(0.550928\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.1629 | + | 19.3347i | −0.737663 | + | 1.27767i | 0.215882 | + | 0.976419i | \(0.430737\pi\) |
−0.953545 | + | 0.301251i | \(0.902596\pi\) | |||||||
\(230\) | −7.10138 | − | 12.2999i | −0.468251 | − | 0.811034i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.12107 | + | 7.13789i | 0.270561 | + | 0.468626i | ||||
\(233\) | −7.03840 | − | 12.1909i | −0.461101 | − | 0.798650i | 0.537915 | − | 0.842999i | \(-0.319212\pi\) |
−0.999016 | + | 0.0443488i | \(0.985879\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.2364 | + | 28.1222i | 1.05914 | + | 1.83449i | ||||
\(236\) | 0.350083 | + | 0.606361i | 0.0227885 | + | 0.0394708i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.13439 | + | 1.96482i | −0.0735316 | + | 0.127360i | ||||
\(239\) | 11.1541 | + | 19.3194i | 0.721498 | + | 1.24967i | 0.960399 | + | 0.278627i | \(0.0898793\pi\) |
−0.238902 | + | 0.971044i | \(0.576787\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.19641 | −0.270314 | −0.135157 | − | 0.990824i | \(-0.543154\pi\) | ||||
−0.135157 | + | 0.990824i | \(0.543154\pi\) | |||||||
\(242\) | −3.15084 | − | 5.45741i | −0.202543 | − | 0.350816i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.04180 | 0.258750 | ||||||||
\(245\) | −8.18555 | + | 14.1778i | −0.522956 | + | 0.905786i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.11153 | + | 8.85343i | 0.325239 | + | 0.563330i | ||||
\(248\) | −0.820854 | − | 1.42176i | −0.0521243 | − | 0.0902819i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.160352 | − | 0.277739i | 0.0101416 | − | 0.0175657i | ||||
\(251\) | −2.79149 | + | 4.83501i | −0.176198 | + | 0.305183i | −0.940575 | − | 0.339586i | \(-0.889713\pi\) |
0.764378 | + | 0.644769i | \(0.223046\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.04938 | 0.568930 | ||||||||
\(254\) | 2.21066 | 0.138709 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.08109 | + | 8.80071i | 0.317568 | + | 0.550044i | ||||
\(257\) | 7.67958 | + | 13.3014i | 0.479039 | + | 0.829720i | 0.999711 | − | 0.0240367i | \(-0.00765185\pi\) |
−0.520672 | + | 0.853757i | \(0.674319\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.6108 | −0.845737 | ||||||||
\(260\) | 26.2732 | 1.62940 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.72054 | + | 8.17622i | −0.291636 | + | 0.505128i | ||||
\(263\) | 24.7575 | 1.52661 | 0.763306 | − | 0.646037i | \(-0.223575\pi\) | ||||
0.763306 | + | 0.646037i | \(0.223575\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.3967 | −1.00724 | ||||||||
\(266\) | 0.860047 | − | 1.48965i | 0.0527329 | − | 0.0913360i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.85803 | + | 11.4284i | −0.296752 | + | 0.698102i | ||||
\(269\) | −5.32582 | −0.324721 | −0.162360 | − | 0.986732i | \(-0.551911\pi\) | ||||
−0.162360 | + | 0.986732i | \(0.551911\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.39673 | −0.267083 | −0.133541 | − | 0.991043i | \(-0.542635\pi\) | ||||
−0.133541 | + | 0.991043i | \(0.542635\pi\) | |||||||
\(272\) | −1.63245 | − | 2.82748i | −0.0989818 | − | 0.171441i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.11153 | + | 5.38933i | −0.187974 | + | 0.325581i | ||||
\(275\) | −3.37233 | − | 5.84105i | −0.203359 | − | 0.352229i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.15460 | −0.189542 | −0.0947709 | − | 0.995499i | \(-0.530212\pi\) | ||||
−0.0947709 | + | 0.995499i | \(0.530212\pi\) | |||||||
\(278\) | 2.33924 | − | 4.05169i | 0.140298 | − | 0.243004i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.12417 | − | 8.87532i | −0.306228 | − | 0.530402i | ||||
\(281\) | 7.32287 | − | 12.6836i | 0.436846 | − | 0.756639i | −0.560598 | − | 0.828088i | \(-0.689429\pi\) |
0.997444 | + | 0.0714485i | \(0.0227622\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.5438 | 0.745649 | 0.372825 | − | 0.927902i | \(-0.378389\pi\) | ||||
0.372825 | + | 0.927902i | \(0.378389\pi\) | |||||||
\(284\) | 4.93917 | − | 8.55490i | 0.293086 | − | 0.507640i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.66414 | − | 4.61443i | 0.157534 | − | 0.272857i | ||||
\(287\) | −2.71663 | + | 4.70533i | −0.160357 | + | 0.277747i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.51332 | + | 9.54936i | 0.324313 | + | 0.561727i | ||||
\(290\) | −7.35592 | −0.431954 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 19.5398 | 1.14348 | ||||||||
\(293\) | 0.461512 | 0.0269618 | 0.0134809 | − | 0.999909i | \(-0.495709\pi\) | ||||
0.0134809 | + | 0.999909i | \(0.495709\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.44866 | −0.0843443 | ||||||||
\(296\) | −12.4510 | + | 21.5657i | −0.723698 | + | 1.25348i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.00954 | + | 1.74857i | −0.0584809 | + | 0.101292i | ||||
\(299\) | −17.9617 | − | 31.1106i | −1.03875 | − | 1.79917i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.01711 | + | 5.22579i | 0.173904 | + | 0.301210i | ||||
\(302\) | −7.50254 | − | 12.9948i | −0.431723 | − | 0.747766i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.23765 | + | 2.14368i | 0.0709844 | + | 0.122949i | ||||
\(305\) | −4.18130 | + | 7.24222i | −0.239420 | + | 0.414688i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.25477 | + | 14.2977i | −0.471124 | + | 0.816012i | −0.999454 | − | 0.0330276i | \(-0.989485\pi\) |
0.528330 | + | 0.849039i | \(0.322818\pi\) | |||||||
\(308\) | 2.81664 | 0.160493 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.46519 | 0.0832171 | ||||||||
\(311\) | 27.3275 | 1.54960 | 0.774800 | − | 0.632207i | \(-0.217851\pi\) | ||||
0.774800 | + | 0.632207i | \(0.217851\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −30.1711 | −1.70537 | −0.852687 | − | 0.522423i | \(-0.825028\pi\) | ||||
−0.852687 | + | 0.522423i | \(0.825028\pi\) | |||||||
\(314\) | −1.98253 | − | 3.43385i | −0.111881 | − | 0.193783i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.93534 | − | 3.35210i | 0.108871 | − | 0.188570i | ||||
\(317\) | −13.7148 | + | 23.7548i | −0.770301 | + | 1.33420i | 0.167097 | + | 0.985941i | \(0.446561\pi\) |
−0.937398 | + | 0.348260i | \(0.886773\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.34344 | − | 4.05895i | 0.131207 | − | 0.227258i | ||||
\(320\) | −4.30062 | −0.240412 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.02217 | + | 5.23456i | −0.168419 | + | 0.291711i | ||||
\(323\) | 2.26437 | + | 3.92201i | 0.125993 | + | 0.218226i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −13.3872 | + | 23.1873i | −0.742588 | + | 1.28620i | ||||
\(326\) | 16.7542 | 0.927931 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.97025 | + | 8.60872i | 0.274436 | + | 0.475337i | ||||
\(329\) | 6.90981 | − | 11.9681i | 0.380950 | − | 0.659825i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.3479 | − | 21.3872i | −0.678703 | − | 1.17555i | −0.975372 | − | 0.220567i | \(-0.929209\pi\) |
0.296669 | − | 0.954980i | \(-0.404124\pi\) | |||||||
\(332\) | 5.81638 | 0.319215 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −17.6832 | −0.967582 | ||||||||
\(335\) | −15.4521 | − | 20.5276i | −0.844237 | − | 1.12154i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.27946 | + | 5.68019i | −0.178643 | + | 0.309420i | −0.941416 | − | 0.337247i | \(-0.890504\pi\) |
0.762773 | + | 0.646667i | \(0.223838\pi\) | |||||||
\(338\) | −12.1180 | −0.659135 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 11.6389 | 0.631206 | ||||||||
\(341\) | −0.466777 | + | 0.808482i | −0.0252774 | + | 0.0437817i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.3182 | 0.881098 | ||||||||
\(344\) | 11.0400 | 0.595238 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.46829 | − | 4.27520i | −0.132696 | − | 0.229836i | ||||
\(347\) | 4.17866 | + | 7.23766i | 0.224322 | + | 0.388538i | 0.956116 | − | 0.292989i | \(-0.0946498\pi\) |
−0.731794 | + | 0.681526i | \(0.761316\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.65656 | −0.463375 | −0.231688 | − | 0.972790i | \(-0.574425\pi\) | ||||
−0.231688 | + | 0.972790i | \(0.574425\pi\) | |||||||
\(350\) | 4.50496 | 0.240800 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.04180 | − | 7.00061i | 0.215429 | − | 0.373134i | ||||
\(353\) | 17.7821 | − | 30.7994i | 0.946443 | − | 1.63929i | 0.193608 | − | 0.981079i | \(-0.437981\pi\) |
0.752835 | − | 0.658209i | \(-0.228686\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.2193 | + | 17.7003i | 0.542382 | + | 0.939434i | ||||
\(356\) | −6.26600 | − | 10.8530i | −0.332097 | − | 0.575209i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.00954 | − | 1.74857i | 0.0533556 | − | 0.0924147i | ||||
\(359\) | 34.1743 | 1.80365 | 0.901826 | − | 0.432100i | \(-0.142227\pi\) | ||||
0.901826 | + | 0.432100i | \(0.142227\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.78325 | + | 13.4810i | 0.409645 | + | 0.709525i | ||||
\(362\) | −7.87203 | −0.413745 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.59063 | − | 9.68325i | −0.293028 | − | 0.507540i | ||||
\(365\) | −20.2142 | + | 35.0120i | −1.05806 | + | 1.83261i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.6115 | + | 20.1118i | 0.606117 | + | 1.04983i | 0.991874 | + | 0.127225i | \(0.0406070\pi\) |
−0.385757 | + | 0.922600i | \(0.626060\pi\) | |||||||
\(368\) | −4.34907 | − | 7.53282i | −0.226711 | − | 0.392675i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.1122 | − | 19.2469i | −0.577697 | − | 1.00060i | ||||
\(371\) | 3.48903 | + | 6.04317i | 0.181141 | + | 0.313746i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.84540 | + | 8.39247i | 0.250885 | + | 0.434546i | 0.963770 | − | 0.266736i | \(-0.0859450\pi\) |
−0.712885 | + | 0.701281i | \(0.752612\pi\) | |||||||
\(374\) | 1.18020 | − | 2.04416i | 0.0610265 | − | 0.105701i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −12.6420 | − | 21.8965i | −0.651960 | − | 1.12923i | ||||
\(377\) | −18.6055 | −0.958234 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.46450 | + | 2.53659i | −0.0752264 | + | 0.130296i | −0.901185 | − | 0.433435i | \(-0.857301\pi\) |
0.825958 | + | 0.563731i | \(0.190635\pi\) | |||||||
\(380\) | −8.82410 | −0.452667 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 7.19710 | + | 12.4657i | 0.368235 | + | 0.637802i | ||||
\(383\) | 4.24427 | − | 7.35129i | 0.216872 | − | 0.375634i | −0.736978 | − | 0.675917i | \(-0.763748\pi\) |
0.953850 | + | 0.300283i | \(0.0970812\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.91385 | + | 5.04693i | −0.148503 | + | 0.257216i | ||||
\(386\) | 0.218864 | − | 0.379084i | 0.0111399 | − | 0.0192948i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.52606 | 0.331311 | ||||||||
\(389\) | 15.3354 | − | 26.5617i | 0.777535 | − | 1.34673i | −0.155824 | − | 0.987785i | \(-0.549803\pi\) |
0.933359 | − | 0.358945i | \(-0.116863\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −7.95692 | − | 13.7818i | −0.402399 | − | 0.696975i | ||||
\(392\) | 6.37343 | − | 11.0391i | 0.321907 | − | 0.557559i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.8605 | 0.748664 | ||||||||
\(395\) | 4.00426 | + | 6.93558i | 0.201476 | + | 0.348967i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −33.6349 | −1.68809 | −0.844045 | − | 0.536273i | \(-0.819832\pi\) | ||||
−0.844045 | + | 0.536273i | \(0.819832\pi\) | |||||||
\(398\) | 4.74761 | + | 8.22310i | 0.237976 | + | 0.412187i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.24144 | + | 5.61434i | −0.162072 | + | 0.280717i | ||||
\(401\) | −25.6567 | −1.28124 | −0.640618 | − | 0.767860i | \(-0.721322\pi\) | ||||
−0.640618 | + | 0.767860i | \(0.721322\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.70594 | 0.184606 | ||||||||
\(404\) | −13.8408 | + | 23.9729i | −0.688604 | + | 1.19270i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.56525 | + | 2.71109i | 0.0776821 | + | 0.134549i | ||||
\(407\) | 14.1604 | 0.701907 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.3910 | + | 31.8541i | 0.909376 | + | 1.57509i | 0.814933 | + | 0.579555i | \(0.196774\pi\) |
0.0944425 | + | 0.995530i | \(0.469893\pi\) | |||||||
\(410\) | −8.87167 | −0.438141 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.19010 | − | 3.79337i | 0.107899 | − | 0.186886i | ||||
\(413\) | 0.308257 | + | 0.533918i | 0.0151684 | + | 0.0262724i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.01711 | + | 10.4219i | −0.295368 | + | 0.511593i | ||||
\(416\) | −32.0896 | −1.57332 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.894776 | + | 1.54980i | −0.0437649 | + | 0.0758031i | ||||
\(419\) | −10.4081 | + | 18.0274i | −0.508469 | + | 0.880694i | 0.491483 | + | 0.870887i | \(0.336455\pi\) |
−0.999952 | + | 0.00980684i | \(0.996878\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.15082 | − | 3.72532i | 0.104824 | − | 0.181561i | −0.808842 | − | 0.588026i | \(-0.799905\pi\) |
0.913666 | + | 0.406465i | \(0.133239\pi\) | |||||||
\(422\) | −3.36707 | − | 5.83193i | −0.163906 | − | 0.283894i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.7668 | 0.620012 | ||||||||
\(425\) | −5.93044 | + | 10.2718i | −0.287669 | + | 0.498257i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.55892 | 0.172228 | ||||||||
\(428\) | 11.2052 | + | 19.4079i | 0.541622 | + | 0.938117i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.92649 | + | 8.53292i | −0.237576 | + | 0.411494i | ||||
\(431\) | −12.1335 | − | 21.0158i | −0.584448 | − | 1.01229i | −0.994944 | − | 0.100431i | \(-0.967978\pi\) |
0.410496 | − | 0.911862i | \(-0.365356\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.87009 | + | 3.23908i | 0.0898706 | + | 0.155660i | 0.907456 | − | 0.420147i | \(-0.138021\pi\) |
−0.817586 | + | 0.575807i | \(0.804688\pi\) | |||||||
\(434\) | −0.311774 | − | 0.540009i | −0.0149656 | − | 0.0259213i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.48161 | − | 14.6906i | −0.406196 | − | 0.703552i | ||||
\(437\) | 6.03261 | + | 10.4488i | 0.288579 | + | 0.499833i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.72054 | − | 6.44417i | 0.177572 | − | 0.307563i | −0.763477 | − | 0.645836i | \(-0.776509\pi\) |
0.941048 | + | 0.338272i | \(0.109842\pi\) | |||||||
\(440\) | 5.33108 | + | 9.23370i | 0.254149 | + | 0.440200i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.37009 | −0.445690 | ||||||||
\(443\) | −2.03625 | − | 3.52689i | −0.0967451 | − | 0.167567i | 0.813590 | − | 0.581438i | \(-0.197510\pi\) |
−0.910336 | + | 0.413871i | \(0.864177\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 25.9290 | 1.22915 | ||||||||
\(446\) | 3.02752 | − | 5.24381i | 0.143357 | − | 0.248302i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.915121 | + | 1.58504i | 0.0432354 | + | 0.0748859i | ||||
\(449\) | −11.1422 | − | 19.2988i | −0.525833 | − | 0.910769i | −0.999547 | − | 0.0300903i | \(-0.990421\pi\) |
0.473715 | − | 0.880678i | \(-0.342913\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.82632 | − | 4.89533i | 0.133086 | − | 0.230512i | ||||
\(452\) | −10.8511 | + | 18.7946i | −0.510392 | + | 0.884026i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 16.2346 | 0.761925 | ||||||||
\(455\) | 23.1343 | 1.08455 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.69837 | − | 9.86986i | −0.266558 | − | 0.461693i | 0.701412 | − | 0.712756i | \(-0.252553\pi\) |
−0.967971 | + | 0.251063i | \(0.919220\pi\) | |||||||
\(458\) | 7.75708 | + | 13.4357i | 0.362465 | + | 0.627807i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 31.0076 | 1.44574 | ||||||||
\(461\) | 2.06092 | 0.0959865 | 0.0479933 | − | 0.998848i | \(-0.484717\pi\) | ||||
0.0479933 | + | 0.998848i | \(0.484717\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.14197 | − | 15.8344i | 0.424863 | − | 0.735885i | −0.571544 | − | 0.820571i | \(-0.693656\pi\) |
0.996408 | + | 0.0846864i | \(0.0269889\pi\) | |||||||
\(464\) | −4.50496 | −0.209138 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.78197 | −0.453141 | ||||||||
\(467\) | −1.17094 | + | 2.02812i | −0.0541845 | + | 0.0938503i | −0.891845 | − | 0.452340i | \(-0.850589\pi\) |
0.837661 | + | 0.546191i | \(0.183923\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.27763 | + | 10.0630i | −0.197523 | + | 0.464668i | ||||
\(470\) | 22.5653 | 1.04086 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.12796 | 0.0519184 | ||||||||
\(473\) | −3.13894 | − | 5.43681i | −0.144329 | − | 0.249985i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.49621 | − | 7.78767i | 0.206300 | − | 0.357323i | ||||
\(476\) | −2.47661 | − | 4.28961i | −0.113515 | − | 0.196614i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.5020 | 0.709043 | ||||||||
\(479\) | −15.4547 | + | 26.7683i | −0.706144 | + | 1.22308i | 0.260134 | + | 0.965573i | \(0.416233\pi\) |
−0.966277 | + | 0.257504i | \(0.917100\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −28.1065 | − | 48.6818i | −1.28154 | − | 2.21970i | ||||
\(482\) | −1.45804 | + | 2.52540i | −0.0664120 | + | 0.115029i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.7579 | 0.625358 | ||||||||
\(485\) | −6.75129 | + | 11.6936i | −0.306560 | + | 0.530978i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.69837 | + | 15.0660i | −0.394161 | + | 0.682706i | −0.992994 | − | 0.118168i | \(-0.962298\pi\) |
0.598833 | + | 0.800874i | \(0.295631\pi\) | |||||||
\(488\) | 3.25564 | − | 5.63893i | 0.147376 | − | 0.255262i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.68814 | + | 9.85216i | 0.256964 | + | 0.445075i | ||||
\(491\) | 11.2787 | 0.509000 | 0.254500 | − | 0.967073i | \(-0.418089\pi\) | ||||
0.254500 | + | 0.967073i | \(0.418089\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.24213 | −0.371207 | ||||||||
\(494\) | 7.10401 | 0.319624 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.897321 | 0.0402909 | ||||||||
\(497\) | 4.34907 | − | 7.53282i | 0.195083 | − | 0.337893i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.0609 | − | 27.8183i | 0.718984 | − | 1.24532i | −0.242419 | − | 0.970172i | \(-0.577941\pi\) |
0.961403 | − | 0.275144i | \(-0.0887257\pi\) | |||||||
\(500\) | 0.350083 | + | 0.606361i | 0.0156562 | + | 0.0271173i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.93981 | + | 3.35985i | 0.0865780 | + | 0.149957i | ||||
\(503\) | 6.31708 | + | 10.9415i | 0.281665 | + | 0.487858i | 0.971795 | − | 0.235828i | \(-0.0757801\pi\) |
−0.690130 | + | 0.723685i | \(0.742447\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −28.6369 | − | 49.6006i | −1.27433 | − | 2.20720i | ||||
\(506\) | 3.14421 | − | 5.44593i | 0.139777 | − | 0.242101i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.41316 | + | 4.17972i | −0.107067 | + | 0.185445i | ||||
\(509\) | 19.0723 | 0.845366 | 0.422683 | − | 0.906278i | \(-0.361088\pi\) | ||||
0.422683 | + | 0.906278i | \(0.361088\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 17.2054 | 0.761120 | ||||||||
\(512\) | −14.2997 | −0.631961 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.6731 | 0.470770 | ||||||||
\(515\) | 4.53138 | + | 7.84858i | 0.199676 | + | 0.345850i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.18883 | + | 12.4514i | −0.316164 | + | 0.547613i | ||||
\(518\) | −4.72909 | + | 8.19103i | −0.207784 | + | 0.359893i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 21.1629 | − | 36.6552i | 0.928053 | − | 1.60744i | ||||
\(521\) | −28.9744 | −1.26939 | −0.634697 | − | 0.772761i | \(-0.718875\pi\) | ||||
−0.634697 | + | 0.772761i | \(0.718875\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.9829 | + | 19.0229i | −0.480248 | + | 0.831814i | −0.999743 | − | 0.0226593i | \(-0.992787\pi\) |
0.519495 | + | 0.854473i | \(0.326120\pi\) | |||||||
\(524\) | −10.3059 | − | 17.8504i | −0.450217 | − | 0.779798i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.60199 | − | 14.8991i | 0.375065 | − | 0.649631i | ||||
\(527\) | 1.64171 | 0.0715139 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.69837 | − | 16.7981i | −0.421668 | − | 0.730351i | ||||
\(530\) | −5.69705 | + | 9.86758i | −0.247464 | + | 0.428620i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.87766 | + | 3.25221i | 0.0814070 | + | 0.141001i | ||||
\(533\) | −22.4394 | −0.971958 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −46.3675 | −2.00464 | ||||||||
\(536\) | 12.0313 | + | 15.9832i | 0.519673 | + | 0.690369i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.85046 | + | 3.20508i | −0.0797788 | + | 0.138181i | ||||
\(539\) | −7.24848 | −0.312214 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −31.6198 | −1.35944 | −0.679721 | − | 0.733471i | \(-0.737899\pi\) | ||||
−0.679721 | + | 0.733471i | \(0.737899\pi\) | |||||||
\(542\) | −1.52765 | + | 2.64596i | −0.0656180 | + | 0.113654i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −14.2155 | −0.609484 | ||||||||
\(545\) | 35.0973 | 1.50340 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.3232 | + | 35.2009i | 0.868958 | + | 1.50508i | 0.863063 | + | 0.505097i | \(0.168543\pi\) |
0.00589566 | + | 0.999983i | \(0.498123\pi\) | |||||||
\(548\) | −6.79312 | − | 11.7660i | −0.290188 | − | 0.502620i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −4.68687 | −0.199849 | ||||||||
\(551\) | 6.24884 | 0.266210 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.70412 | − | 2.95161i | 0.0724663 | − | 0.125515i | ||||
\(554\) | −1.09607 | + | 1.89845i | −0.0465675 | + | 0.0806572i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.10705 | + | 8.84568i | 0.216587 | + | 0.375140i | ||||
\(557\) | −17.1382 | − | 29.6843i | −0.726171 | − | 1.25776i | −0.958490 | − | 0.285125i | \(-0.907965\pi\) |
0.232320 | − | 0.972639i | \(-0.425368\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.4607 | + | 21.5826i | −0.527032 | + | 0.912846i | ||||
\(560\) | 5.60151 | 0.236707 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.08867 | − | 8.81383i | −0.214653 | − | 0.371789i | ||||
\(563\) | −26.8660 | −1.13227 | −0.566133 | − | 0.824314i | \(-0.691561\pi\) | ||||
−0.566133 | + | 0.824314i | \(0.691561\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −22.4512 | − | 38.8866i | −0.944528 | − | 1.63597i | ||||
\(566\) | 4.35833 | − | 7.54886i | 0.183194 | − | 0.317302i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −7.95692 | − | 13.7818i | −0.333865 | − | 0.578271i | ||||
\(569\) | −9.69867 | − | 16.7986i | −0.406590 | − | 0.704234i | 0.587915 | − | 0.808922i | \(-0.299949\pi\) |
−0.994505 | + | 0.104689i | \(0.966615\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.12289 | − | 14.0693i | −0.339933 | − | 0.588780i | 0.644487 | − | 0.764615i | \(-0.277071\pi\) |
−0.984420 | + | 0.175835i | \(0.943738\pi\) | |||||||
\(572\) | 5.81638 | + | 10.0743i | 0.243195 | + | 0.421226i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.88778 | + | 3.26974i | 0.0787946 | + | 0.136476i | ||||
\(575\) | −15.7995 | + | 27.3656i | −0.658886 | + | 1.14122i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.96829 | − | 13.8015i | −0.331724 | − | 0.574563i | 0.651126 | − | 0.758970i | \(-0.274297\pi\) |
−0.982850 | + | 0.184407i | \(0.940964\pi\) | |||||||
\(578\) | 7.66242 | 0.318715 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 8.02975 | − | 13.9079i | 0.333417 | − | 0.577496i | ||||
\(581\) | 5.12148 | 0.212475 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.62991 | − | 6.28720i | −0.150336 | − | 0.260389i | ||||
\(584\) | 15.7392 | − | 27.2611i | 0.651292 | − | 1.12807i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.160352 | − | 0.277739i | 0.00662410 | − | 0.0114733i | ||||
\(587\) | 23.4135 | − | 40.5534i | 0.966378 | − | 1.67382i | 0.260513 | − | 0.965470i | \(-0.416108\pi\) |
0.705865 | − | 0.708346i | \(-0.250558\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.24467 | −0.0512859 | ||||||||
\(590\) | −0.503337 | + | 0.871806i | −0.0207221 | + | 0.0358917i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.80542 | − | 11.7873i | −0.279701 | − | 0.484456i | ||||
\(593\) | 8.23664 | − | 14.2663i | 0.338238 | − | 0.585846i | −0.645863 | − | 0.763453i | \(-0.723502\pi\) |
0.984101 | + | 0.177607i | \(0.0568357\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 10.2483 | 0.420141 | ||||||||
\(596\) | −2.20403 | − | 3.81749i | −0.0902805 | − | 0.156370i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −24.9632 | −1.02082 | ||||||||
\(599\) | −5.98679 | − | 10.3694i | −0.244614 | − | 0.423683i | 0.717409 | − | 0.696652i | \(-0.245328\pi\) |
−0.962023 | + | 0.272969i | \(0.911994\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.0476 | − | 29.5272i | 0.695384 | − | 1.20444i | −0.274667 | − | 0.961539i | \(-0.588568\pi\) |
0.970051 | − | 0.242901i | \(-0.0780991\pi\) | |||||||
\(602\) | 4.19319 | 0.170902 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 32.7592 | 1.33295 | ||||||||
\(605\) | −14.2327 | + | 24.6517i | −0.578641 | + | 1.00224i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.32449 | + | 2.29409i | 0.0537595 | + | 0.0931142i | 0.891653 | − | 0.452720i | \(-0.149546\pi\) |
−0.837893 | + | 0.545834i | \(0.816213\pi\) | |||||||
\(608\) | 10.7776 | 0.437089 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.90558 | + | 5.03262i | 0.117644 | + | 0.203765i | ||||
\(611\) | 57.0752 | 2.30902 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 17.5209 | − | 30.3471i | 0.707663 | − | 1.22571i | −0.258059 | − | 0.966129i | \(-0.583083\pi\) |
0.965722 | − | 0.259578i | \(-0.0835836\pi\) | |||||||
\(614\) | 5.73624 | + | 9.93546i | 0.231496 | + | 0.400963i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.26878 | − | 3.92964i | 0.0914117 | − | 0.158330i | ||||
\(617\) | 20.9422 | 0.843099 | 0.421550 | − | 0.906805i | \(-0.361486\pi\) | ||||
0.421550 | + | 0.906805i | \(0.361486\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.53044 | + | 7.84695i | −0.182094 | + | 0.315395i | −0.942593 | − | 0.333943i | \(-0.891621\pi\) |
0.760500 | + | 0.649338i | \(0.224954\pi\) | |||||||
\(620\) | −1.59941 | + | 2.77025i | −0.0642337 | + | 0.111256i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.49494 | − | 16.4457i | 0.380712 | − | 0.659413i | ||||
\(623\) | −5.51738 | − | 9.55638i | −0.221049 | − | 0.382868i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −25.7135 | −1.02854 | ||||||||
\(626\) | −10.4830 | + | 18.1570i | −0.418984 | + | 0.725701i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.65656 | 0.345435 | ||||||||
\(629\) | −12.4510 | − | 21.5657i | −0.496453 | − | 0.859882i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.9829 | − | 19.0229i | 0.437222 | − | 0.757290i | −0.560252 | − | 0.828322i | \(-0.689296\pi\) |
0.997474 | + | 0.0710316i | \(0.0226291\pi\) | |||||||
\(632\) | −3.11779 | − | 5.40018i | −0.124019 | − | 0.214807i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.53044 | + | 16.5072i | 0.378502 | + | 0.655585i | ||||
\(635\) | −4.99289 | − | 8.64794i | −0.198137 | − | 0.343183i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.3872 | + | 24.9194i | 0.570042 | + | 0.987341i | ||||
\(638\) | −1.62846 | − | 2.82057i | −0.0644712 | − | 0.111667i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 16.7630 | − | 29.0344i | 0.662617 | − | 1.14769i | ||||
\(641\) | 0.629291 | + | 1.08996i | 0.0248555 | + | 0.0430510i | 0.878186 | − | 0.478320i | \(-0.158754\pi\) |
−0.853330 | + | 0.521371i | \(0.825421\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.3359 | −0.447043 | −0.223521 | − | 0.974699i | \(-0.571755\pi\) | ||||
−0.223521 | + | 0.974699i | \(0.571755\pi\) | |||||||
\(644\) | −6.59804 | − | 11.4281i | −0.259999 | − | 0.450332i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.14703 | 0.123818 | ||||||||
\(647\) | 0.709425 | − | 1.22876i | 0.0278904 | − | 0.0483076i | −0.851743 | − | 0.523959i | \(-0.824454\pi\) |
0.879634 | + | 0.475652i | \(0.157788\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.320705 | − | 0.555477i | −0.0125888 | − | 0.0218044i | ||||
\(650\) | 9.30277 | + | 16.1129i | 0.364885 | + | 0.631999i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −18.2890 | + | 31.6775i | −0.716252 | + | 1.24059i | ||||
\(653\) | 11.5280 | − | 19.9670i | 0.451124 | − | 0.781369i | −0.547333 | − | 0.836915i | \(-0.684357\pi\) |
0.998456 | + | 0.0555462i | \(0.0176900\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 42.6464 | 1.66633 | ||||||||
\(656\) | −5.43325 | −0.212133 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.80163 | − | 8.31667i | −0.187187 | − | 0.324218i | ||||
\(659\) | −3.13631 | − | 5.43225i | −0.122173 | − | 0.211610i | 0.798451 | − | 0.602060i | \(-0.205653\pi\) |
−0.920624 | + | 0.390449i | \(0.872320\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 21.9899 | 0.855307 | 0.427654 | − | 0.903943i | \(-0.359340\pi\) | ||||
0.427654 | + | 0.903943i | \(0.359340\pi\) | |||||||
\(662\) | −17.1611 | −0.666987 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 4.68504 | − | 8.11473i | 0.181815 | − | 0.314913i | ||||
\(665\) | −7.76986 | −0.301302 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21.9582 | −0.850225 | ||||||||
\(668\) | 19.3031 | − | 33.4339i | 0.746858 | − | 1.29360i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −17.7224 | + | 2.16676i | −0.684675 | + | 0.0837092i | ||||
\(671\) | −3.70263 | −0.142938 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.5070 | −0.713392 | −0.356696 | − | 0.934220i | \(-0.616097\pi\) | ||||
−0.356696 | + | 0.934220i | \(0.616097\pi\) | |||||||
\(674\) | 2.27890 | + | 3.94717i | 0.0877798 | + | 0.152039i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.2281 | − | 22.9118i | 0.508774 | − | 0.881222i | ||||
\(677\) | 4.19582 | + | 7.26737i | 0.161258 | + | 0.279308i | 0.935320 | − | 0.353802i | \(-0.115111\pi\) |
−0.774062 | + | 0.633110i | \(0.781778\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.74637 | 0.220526 | ||||||||
\(680\) | 9.37501 | − | 16.2380i | 0.359515 | − | 0.622698i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.324364 | + | 0.561815i | 0.0124205 | + | 0.0215130i | ||||
\(683\) | −2.34187 | + | 4.05625i | −0.0896093 | + | 0.155208i | −0.907346 | − | 0.420385i | \(-0.861895\pi\) |
0.817737 | + | 0.575592i | \(0.195229\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 28.1103 | 1.07404 | ||||||||
\(686\) | 5.66975 | − | 9.82029i | 0.216472 | − | 0.374941i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.01711 | + | 5.22579i | −0.115026 | + | 0.199232i | ||||
\(689\) | −14.4097 | + | 24.9584i | −0.548967 | + | 0.950838i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.84918 | + | 17.0593i | 0.374681 | + | 0.648966i | 0.990279 | − | 0.139094i | \(-0.0444190\pi\) |
−0.615599 | + | 0.788060i | \(0.711086\pi\) | |||||||
\(692\) | 10.7776 | 0.409702 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.80751 | 0.220450 | ||||||||
\(695\) | −21.1332 | −0.801629 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.94050 | −0.376523 | ||||||||
\(698\) | −3.00773 | + | 5.20953i | −0.113844 | + | 0.197184i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.91764 | + | 8.51760i | −0.185869 | + | 0.321935i | ||||
\(701\) | 5.36412 | + | 9.29094i | 0.202600 | + | 0.350914i | 0.949365 | − | 0.314174i | \(-0.101727\pi\) |
−0.746765 | + | 0.665088i | \(0.768394\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.43981 | + | 16.3502i | 0.356029 | + | 0.616661i | ||||
\(704\) | −0.952073 | − | 1.64904i | −0.0358826 | − | 0.0621505i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −12.3568 | − | 21.4025i | −0.465053 | − | 0.805495i | ||||
\(707\) | −12.1872 | + | 21.1088i | −0.458346 | + | 0.793878i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −17.1103 | + | 29.6358i | −0.642589 | + | 1.11300i | 0.342264 | + | 0.939604i | \(0.388806\pi\) |
−0.984853 | + | 0.173393i | \(0.944527\pi\) | |||||||
\(710\) | 14.2028 | 0.533020 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −20.1888 | −0.756608 | ||||||||
\(713\) | 4.37374 | 0.163798 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −24.0685 | −0.900109 | ||||||||
\(716\) | 2.20403 | + | 3.81749i | 0.0823684 | + | 0.142666i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 11.8739 | − | 20.5662i | 0.443129 | − | 0.767522i | ||||
\(719\) | −7.03840 | + | 12.1909i | −0.262488 | + | 0.454643i | −0.966902 | − | 0.255146i | \(-0.917876\pi\) |
0.704414 | + | 0.709789i | \(0.251210\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.92845 | − | 3.34017i | 0.0718191 | − | 0.124394i | ||||
\(722\) | 10.8172 | 0.402573 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.59314 | − | 14.8838i | 0.319362 | − | 0.553151i | ||||
\(725\) | 8.18292 | + | 14.1732i | 0.303906 | + | 0.526381i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −24.9949 | + | 43.2925i | −0.927011 | + | 1.60563i | −0.138716 | + | 0.990332i | \(0.544298\pi\) |
−0.788295 | + | 0.615298i | \(0.789036\pi\) | |||||||
\(728\) | −18.0128 | −0.667599 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 14.0469 | + | 24.3299i | 0.519898 | + | 0.900489i | ||||
\(731\) | −5.52001 | + | 9.56094i | −0.204165 | + | 0.353624i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.02090 | − | 1.76825i | −0.0377079 | − | 0.0653119i | 0.846556 | − | 0.532300i | \(-0.178672\pi\) |
−0.884263 | + | 0.466988i | \(0.845339\pi\) | |||||||
\(734\) | 16.1377 | 0.595654 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −37.8720 | −1.39598 | ||||||||
\(737\) | 4.45036 | − | 10.4694i | 0.163931 | − | 0.385645i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.04376 | + | 12.2002i | −0.259109 | + | 0.448790i | −0.966003 | − | 0.258529i | \(-0.916762\pi\) |
0.706894 | + | 0.707319i | \(0.250096\pi\) | |||||||
\(740\) | 48.5206 | 1.78365 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.84905 | 0.178014 | ||||||||
\(743\) | −4.37549 | + | 7.57857i | −0.160521 | + | 0.278031i | −0.935056 | − | 0.354501i | \(-0.884651\pi\) |
0.774535 | + | 0.632532i | \(0.217984\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.12038 | 0.334145 | ||||||||
\(746\) | 6.73414 | 0.246554 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.57662 | + | 4.46283i | 0.0942104 | + | 0.163177i | ||||
\(749\) | 9.86645 | + | 17.0892i | 0.360512 | + | 0.624426i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 33.9214 | 1.23781 | 0.618905 | − | 0.785466i | \(-0.287577\pi\) | ||||
0.618905 | + | 0.785466i | \(0.287577\pi\) | |||||||
\(752\) | 13.8196 | 0.503950 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6.46450 | + | 11.1968i | −0.235423 | + | 0.407765i | ||||
\(755\) | −33.8898 | + | 58.6989i | −1.23338 | + | 2.13627i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.1667 | + | 21.0733i | 0.442205 | + | 0.765921i | 0.997853 | − | 0.0654966i | \(-0.0208632\pi\) |
−0.555648 | + | 0.831418i | \(0.687530\pi\) | |||||||
\(758\) | 1.01768 | + | 1.76268i | 0.0369639 | + | 0.0640233i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.10774 | + | 12.3110i | −0.257825 | + | 0.446566i | ||||
\(761\) | 8.20759 | 0.297525 | 0.148762 | − | 0.988873i | \(-0.452471\pi\) | ||||
0.148762 | + | 0.988873i | \(0.452471\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.46829 | − | 12.9355i | −0.270370 | − | 0.468295i | ||||
\(764\) | −31.4255 | −1.13694 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.94935 | − | 5.10842i | −0.106564 | − | 0.184575i | ||||
\(767\) | −1.27311 | + | 2.20509i | −0.0459692 | + | 0.0796210i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.34540 | + | 5.79439i | 0.120638 | + | 0.208951i | 0.920019 | − | 0.391873i | \(-0.128173\pi\) |
−0.799381 | + | 0.600824i | \(0.794839\pi\) | |||||||
\(770\) | 2.02483 | + | 3.50712i | 0.0729700 | + | 0.126388i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.477826 | + | 0.827619i | 0.0171973 | + | 0.0297866i | ||||
\(773\) | −16.3385 | − | 28.2992i | −0.587656 | − | 1.01785i | −0.994539 | − | 0.104370i | \(-0.966717\pi\) |
0.406882 | − | 0.913481i | \(-0.366616\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.62991 | − | 2.82309i | −0.0585483 | − | 0.101409i | ||||
\(776\) | 5.25669 | − | 9.10485i | 0.188704 | − | 0.326845i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.6566 | − | 18.4577i | −0.382056 | − | 0.661741i | ||||
\(779\) | 7.53647 | 0.270022 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.52469 | + | 7.83699i | −0.161906 | + | 0.280430i | ||||
\(782\) | −11.0585 | −0.395453 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.48357 | + | 6.03373i | 0.124413 | + | 0.215490i | ||||
\(785\) | −8.95532 | + | 15.5111i | −0.319629 | + | 0.553614i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.95692 | + | 17.2459i | −0.354926 | + | 0.614750i | −0.987105 | − | 0.160072i | \(-0.948827\pi\) |
0.632179 | + | 0.774822i | \(0.282161\pi\) | |||||||
\(788\) | −16.2218 | + | 28.0971i | −0.577879 | + | 1.00092i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.56512 | 0.197998 | ||||||||
\(791\) | −9.55468 | + | 16.5492i | −0.339725 | + | 0.588421i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.34918 | + | 12.7292i | 0.260977 | + | 0.452026i | ||||
\(794\) | −11.6865 | + | 20.2416i | −0.414737 | + | 0.718346i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −20.7300 | −0.734757 | ||||||||
\(797\) | −8.42557 | − | 14.5935i | −0.298449 | − | 0.516929i | 0.677332 | − | 0.735677i | \(-0.263136\pi\) |
−0.975781 | + | 0.218748i | \(0.929803\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 25.2839 | 0.894481 | ||||||||
\(800\) | 14.1134 | + | 24.4451i | 0.498983 | + | 0.864263i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −8.91443 | + | 15.4403i | −0.314780 | + | 0.545214i | ||||
\(803\) | −17.9001 | −0.631681 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 27.3030 | 0.962305 | ||||||||
\(806\) | 1.28763 | − | 2.23024i | 0.0453549 | − | 0.0785570i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 22.2973 | + | 38.6200i | 0.784415 | + | 1.35865i | ||||
\(809\) | 19.2952 | 0.678382 | 0.339191 | − | 0.940717i | \(-0.389847\pi\) | ||||
0.339191 | + | 0.940717i | \(0.389847\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.9436 | − | 20.6869i | −0.419396 | − | 0.726416i | 0.576482 | − | 0.817110i | \(-0.304425\pi\) |
−0.995879 | + | 0.0906936i | \(0.971092\pi\) | |||||||
\(812\) | −6.83454 | −0.239845 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.92005 | − | 8.52178i | 0.172448 | − | 0.298688i | ||||
\(815\) | −37.8404 | − | 65.5415i | −1.32549 | − | 2.29582i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.18504 | − | 7.24871i | 0.146416 | − | 0.253600i | ||||
\(818\) | 25.5598 | 0.893678 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.68436 | − | 16.7738i | 0.338192 | − | 0.585766i | ||||
\(821\) | −8.76113 | + | 15.1747i | −0.305765 | + | 0.529601i | −0.977431 | − | 0.211253i | \(-0.932246\pi\) |
0.671666 | + | 0.740854i | \(0.265579\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.4252 | − | 24.9852i | 0.502831 | − | 0.870929i | −0.497163 | − | 0.867657i | \(-0.665625\pi\) |
0.999995 | − | 0.00327244i | \(-0.00104165\pi\) | |||||||
\(824\) | −3.52822 | − | 6.11106i | −0.122911 | − | 0.212889i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.428417 | 0.0149065 | ||||||||
\(827\) | 25.4643 | − | 44.1054i | 0.885479 | − | 1.53370i | 0.0403163 | − | 0.999187i | \(-0.487163\pi\) |
0.845163 | − | 0.534508i | \(-0.179503\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −25.2497 | −0.876959 | −0.438479 | − | 0.898741i | \(-0.644483\pi\) | ||||
−0.438479 | + | 0.898741i | \(0.644483\pi\) | |||||||
\(830\) | 4.18130 | + | 7.24222i | 0.145135 | + | 0.251381i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.77946 | + | 6.54621i | −0.131029 | + | 0.226949i | ||||
\(833\) | 6.37343 | + | 11.0391i | 0.220826 | + | 0.382482i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 39.9385 | + | 69.1756i | 1.38213 | + | 2.39392i | ||||
\(836\) | −1.95348 | − | 3.38353i | −0.0675626 | − | 0.117022i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 7.23259 | + | 12.5272i | 0.249846 | + | 0.432746i | ||||
\(839\) | 0.413060 | + | 0.715440i | 0.0142604 | + | 0.0246997i | 0.873068 | − | 0.487599i | \(-0.162127\pi\) |
−0.858807 | + | 0.512299i | \(0.828794\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 8.81368 | − | 15.2657i | 0.303920 | − | 0.526405i | ||||
\(842\) | −1.49460 | − | 2.58873i | −0.0515074 | − | 0.0892135i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 14.7020 | 0.506065 | ||||||||
\(845\) | 27.3693 | + | 47.4050i | 0.941533 | + | 1.63078i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 12.1142 | 0.416248 | ||||||||
\(848\) | −3.48903 | + | 6.04317i | −0.119814 | + | 0.207523i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.12107 | + | 7.13789i | 0.141351 | + | 0.244828i | ||||
\(851\) | −33.1712 | − | 57.4541i | −1.13709 | − | 1.96950i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.0438 | + | 31.2527i | −0.617807 | + | 1.07007i | 0.372078 | + | 0.928201i | \(0.378645\pi\) |
−0.989885 | + | 0.141871i | \(0.954688\pi\) | |||||||
\(854\) | 1.23655 | − | 2.14176i | 0.0423138 | − | 0.0732896i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 36.1027 | 1.23396 | ||||||||
\(857\) | −3.09138 | −0.105599 | −0.0527997 | − | 0.998605i | \(-0.516814\pi\) | ||||
−0.0527997 | + | 0.998605i | \(0.516814\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −10.4005 | − | 18.0142i | −0.354861 | − | 0.614638i | 0.632233 | − | 0.774778i | \(-0.282139\pi\) |
−0.987094 | + | 0.160141i | \(0.948805\pi\) | |||||||
\(860\) | −10.7555 | − | 18.6292i | −0.366761 | − | 0.635249i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −16.8631 | −0.574359 | ||||||||
\(863\) | 32.0896 | 1.09234 | 0.546172 | − | 0.837673i | \(-0.316085\pi\) | ||||
0.546172 | + | 0.837673i | \(0.316085\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.1495 | + | 19.3116i | −0.379096 | + | 0.656613i | ||||
\(866\) | 2.59905 | 0.0883192 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.36134 | 0.0462068 | ||||||||
\(869\) | −1.77293 | + | 3.07080i | −0.0601424 | + | 0.104170i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −44.8257 | + | 5.48045i | −1.51886 | + | 0.185698i | ||||
\(872\) | −27.3275 | −0.925425 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 8.38413 | 0.283597 | ||||||||
\(875\) | 0.308257 | + | 0.533918i | 0.0104210 | + | 0.0180497i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.4347 | − | 30.1979i | 0.588730 | − | 1.01971i | −0.405669 | − | 0.914020i | \(-0.632962\pi\) |
0.994399 | − | 0.105690i | \(-0.0337051\pi\) | |||||||
\(878\) | −2.58541 | − | 4.47806i | −0.0872532 | − | 0.151127i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.82770 | −0.196452 | ||||||||
\(881\) | 15.6974 | − | 27.1886i | 0.528857 | − | 0.916008i | −0.470576 | − | 0.882359i | \(-0.655954\pi\) |
0.999434 | − | 0.0336485i | \(-0.0107127\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.5083 | − | 40.7175i | −0.791116 | − | 1.37025i | −0.925276 | − | 0.379294i | \(-0.876167\pi\) |
0.134160 | − | 0.990960i | \(-0.457166\pi\) | |||||||
\(884\) | 10.2284 | − | 17.7162i | 0.344019 | − | 0.595859i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.82998 | −0.0950751 | ||||||||
\(887\) | 2.27890 | − | 3.94717i | 0.0765179 | − | 0.132533i | −0.825227 | − | 0.564801i | \(-0.808953\pi\) |
0.901745 | + | 0.432268i | \(0.142286\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.12485 | + | 3.68035i | −0.0712653 | + | 0.123435i | ||||
\(890\) | 9.00904 | − | 15.6041i | 0.301984 | − | 0.523051i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 6.60970 | + | 11.4483i | 0.221309 | + | 0.383319i | ||||
\(893\) | −19.1692 | −0.641474 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.12038 | −0.304861 | ||||||||
\(896\) | −14.2679 | −0.476657 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −15.4854 | −0.516756 | ||||||||
\(899\) | 1.13263 | − | 1.96177i | 0.0377753 | − | 0.0654287i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.38341 | + | 11.0564i | −0.212662 | + | 0.368342i | ||||
\(902\) | −1.96401 | − | 3.40177i | −0.0653945 | − | 0.113267i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 17.4809 | + | 30.2779i | 0.581407 | + | 1.00703i | ||||
\(905\) | 17.7794 | + | 30.7949i | 0.591008 | + | 1.02366i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.6438 | + | 34.0241i | 0.652262 | + | 1.12975i | 0.982573 | + | 0.185878i | \(0.0595129\pi\) |
−0.330311 | + | 0.943872i | \(0.607154\pi\) | |||||||
\(908\) | −17.7217 | + | 30.6949i | −0.588116 | + | 1.01865i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 8.03801 | − | 13.9223i | 0.266458 | − | 0.461518i | ||||
\(911\) | −46.6227 | −1.54468 | −0.772339 | − | 0.635211i | \(-0.780913\pi\) | ||||
−0.772339 | + | 0.635211i | \(0.780913\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.32828 | −0.176340 | ||||||||
\(914\) | −7.91960 | −0.261957 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −33.8707 | −1.11912 | ||||||||
\(917\) | −9.07465 | − | 15.7178i | −0.299671 | − | 0.519046i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.8612 | + | 39.5968i | −0.754123 | + | 1.30618i | 0.191687 | + | 0.981456i | \(0.438604\pi\) |
−0.945809 | + | 0.324722i | \(0.894729\pi\) | |||||||
\(920\) | 24.9763 | − | 43.2603i | 0.823446 | − | 1.42625i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.716066 | − | 1.24026i | 0.0235824 | − | 0.0408459i | ||||
\(923\) | 35.9235 | 1.18243 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.7231 | + | 42.8216i | −0.812889 | + | 1.40797i | ||||
\(926\) | −6.35276 | − | 11.0033i | −0.208765 | − | 0.361591i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.80738 | + | 16.9869i | −0.321943 | + | 0.557622i | ||||
\(929\) | 13.1300 | 0.430781 | 0.215390 | − | 0.976528i | \(-0.430898\pi\) | ||||
0.215390 | + | 0.976528i | \(0.430898\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.83207 | − | 8.36939i | −0.158365 | − | 0.274296i | ||||
\(932\) | 10.6780 | − | 18.4949i | 0.349771 | − | 0.605821i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0.813685 | + | 1.40934i | 0.0266246 | + | 0.0461151i | ||||
\(935\) | −10.6622 | −0.348690 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −43.0126 | −1.40516 | −0.702580 | − | 0.711604i | \(-0.747969\pi\) | ||||
−0.702580 | + | 0.711604i | \(0.747969\pi\) | |||||||
\(938\) | 4.56969 | + | 6.07069i | 0.149206 | + | 0.198215i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −24.6324 | + | 42.6646i | −0.803421 | + | 1.39157i | ||||
\(941\) | 34.3734 | 1.12054 | 0.560270 | − | 0.828310i | \(-0.310697\pi\) | ||||
0.560270 | + | 0.828310i | \(0.310697\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −26.4829 | −0.862401 | ||||||||
\(944\) | −0.308257 | + | 0.533918i | −0.0100329 | + | 0.0173775i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.36251 | −0.141837 | ||||||||
\(947\) | −50.4142 | −1.63824 | −0.819121 | − | 0.573621i | \(-0.805538\pi\) | ||||
−0.819121 | + | 0.573621i | \(0.805538\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 35.5292 | + | 61.5383i | 1.15333 | + | 1.99762i | ||||
\(950\) | −3.12442 | − | 5.41165i | −0.101370 | − | 0.175577i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.97955 | −0.258619 | ||||||||
\(953\) | 0.928289 | 0.0300702 | 0.0150351 | − | 0.999887i | \(-0.495214\pi\) | ||||
0.0150351 | + | 0.999887i | \(0.495214\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 32.5101 | − | 56.3091i | 1.05200 | − | 1.82212i | ||||
\(956\) | −16.9220 | + | 29.3098i | −0.547297 | + | 0.947946i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.7395 | + | 18.6013i | 0.346977 | + | 0.600982i | ||||
\(959\) | −5.98152 | − | 10.3603i | −0.193153 | − | 0.334552i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.2744 | − | 26.4560i | 0.492722 | − | 0.853420i | ||||
\(962\) | −39.0624 | −1.25942 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −3.18321 | − | 5.51349i | −0.102524 | − | 0.177577i | ||||
\(965\) | −1.97727 | −0.0636505 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.74144 | + | 9.94447i | 0.184632 | + | 0.319793i | 0.943453 | − | 0.331508i | \(-0.107557\pi\) |
−0.758820 | + | 0.651300i | \(0.774224\pi\) | |||||||
\(968\) | 11.0818 | − | 19.1943i | 0.356184 | − | 0.616929i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.69148 | + | 8.12588i | 0.150634 | + | 0.260906i | ||||
\(971\) | 6.34087 | + | 10.9827i | 0.203488 | + | 0.352452i | 0.949650 | − | 0.313313i | \(-0.101439\pi\) |
−0.746162 | + | 0.665765i | \(0.768106\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.49690 | + | 7.78886i | 0.144164 | + | 0.249699i | ||||
\(974\) | 6.04450 | + | 10.4694i | 0.193678 | + | 0.335461i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.77946 | + | 3.08211i | 0.0569591 | + | 0.0986560i | ||||
\(977\) | −18.0247 | + | 31.2197i | −0.576661 | + | 0.998807i | 0.419198 | + | 0.907895i | \(0.362311\pi\) |
−0.995859 | + | 0.0909118i | \(0.971022\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.74017 | + | 9.94227i | 0.183457 | + | 0.317756i | ||||
\(980\) | −24.8368 | −0.793383 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.91878 | − | 6.78753i | 0.125053 | − | 0.216599i | ||||
\(983\) | 34.3972 | 1.09710 | 0.548550 | − | 0.836118i | \(-0.315180\pi\) | ||||
0.548550 | + | 0.836118i | \(0.315180\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −33.5634 | − | 58.1335i | −1.06942 | − | 1.85229i | ||||
\(986\) | −2.86373 | + | 4.96013i | −0.0911998 | + | 0.157963i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −7.75477 | + | 13.4317i | −0.246712 | + | 0.427318i | ||||
\(989\) | −14.7061 | + | 25.4717i | −0.467626 | + | 0.809953i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −21.0912 | −0.669984 | −0.334992 | − | 0.942221i | \(-0.608734\pi\) | ||||
−0.334992 | + | 0.942221i | \(0.608734\pi\) | |||||||
\(992\) | 1.95348 | − | 3.38353i | 0.0620231 | − | 0.107427i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −3.02217 | − | 5.23456i | −0.0958575 | − | 0.166030i | ||||
\(995\) | 21.4455 | − | 37.1447i | 0.679868 | − | 1.17757i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 43.5564 | 1.37944 | 0.689722 | − | 0.724074i | \(-0.257733\pi\) | ||||
0.689722 | + | 0.724074i | \(0.257733\pi\) | |||||||
\(998\) | −11.1607 | − | 19.3309i | −0.353286 | − | 0.611910i | ||||
\(999\) | 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 | 603.2.g.h.163.4 | yes | 12 | |
3.2 | odd | 2 | inner | 603.2.g.h.163.3 | yes | 12 | |
67.37 | even | 3 | inner | 603.2.g.h.37.4 | yes | 12 | |
201.104 | odd | 6 | inner | 603.2.g.h.37.3 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
603.2.g.h.37.3 | ✓ | 12 | 201.104 | odd | 6 | inner | |
603.2.g.h.37.4 | yes | 12 | 67.37 | even | 3 | inner | |
603.2.g.h.163.3 | yes | 12 | 3.2 | odd | 2 | inner | |
603.2.g.h.163.4 | yes | 12 | 1.1 | even | 1 | trivial |