Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 62.17 | ||
Character | \(\chi\) | \(=\) | 441.62 |
Dual form | 441.2.w.a.377.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{11}{14}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.08702 | − | 0.476349i | 1.47575 | − | 0.336830i | 0.592437 | − | 0.805617i | \(-0.298166\pi\) |
0.883311 | + | 0.468787i | \(0.155309\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 2.32682 | − | 1.12054i | 1.16341 | − | 0.560269i | ||||
\(5\) | −2.25096 | − | 2.82261i | −1.00666 | − | 1.26231i | −0.964744 | − | 0.263190i | \(-0.915225\pi\) |
−0.0419154 | − | 0.999121i | \(-0.513346\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.212729 | − | 2.63719i | 0.0804041 | − | 0.996762i | ||||
\(8\) | 0.975036 | − | 0.777565i | 0.344727 | − | 0.274911i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −6.04235 | − | 4.81862i | −1.91076 | − | 1.52378i | ||||
\(11\) | −2.41874 | + | 0.552061i | −0.729277 | + | 0.166453i | −0.571009 | − | 0.820944i | \(-0.693448\pi\) |
−0.158267 | + | 0.987396i | \(0.550591\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.51523 | − | 1.25882i | 1.52965 | − | 0.349133i | 0.626832 | − | 0.779155i | \(-0.284351\pi\) |
0.902818 | + | 0.430022i | \(0.141494\pi\) | |||||||
\(14\) | −0.812251 | − | 5.60520i | −0.217083 | − | 1.49805i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.55589 | + | 1.95102i | −0.388972 | + | 0.487756i | ||||
\(17\) | 4.22253 | + | 2.03346i | 1.02411 | + | 0.493187i | 0.869053 | − | 0.494718i | \(-0.164729\pi\) |
0.155060 | + | 0.987905i | \(0.450443\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 5.49607i | − | 1.26089i | −0.776236 | − | 0.630443i | \(-0.782873\pi\) | ||
0.776236 | − | 0.630443i | \(-0.217127\pi\) | |||||||
\(20\) | −8.40042 | − | 4.04543i | −1.87839 | − | 0.904586i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.78499 | + | 2.30433i | −1.02016 | + | 0.491284i | ||||
\(23\) | 2.01859 | + | 4.19164i | 0.420904 | + | 0.874016i | 0.998341 | + | 0.0575810i | \(0.0183387\pi\) |
−0.577437 | + | 0.816435i | \(0.695947\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.78772 | + | 7.83253i | −0.357545 | + | 1.56651i | ||||
\(26\) | 10.9108 | − | 5.25436i | 2.13978 | − | 1.03046i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.46008 | − | 6.37463i | −0.464912 | − | 1.20469i | ||||
\(29\) | −0.799704 | + | 1.66060i | −0.148501 | + | 0.308366i | −0.961929 | − | 0.273300i | \(-0.911885\pi\) |
0.813427 | + | 0.581666i | \(0.197599\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.46570i | 0.981668i | 0.871253 | + | 0.490834i | \(0.163308\pi\) | ||||
−0.871253 | + | 0.490834i | \(0.836692\pi\) | |||||||
\(32\) | −3.40002 | + | 7.06021i | −0.601044 | + | 1.24808i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.78115 | + | 2.23248i | 1.67745 | + | 0.382868i | ||||
\(35\) | −7.92260 | + | 5.33574i | −1.33916 | + | 0.901905i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.48160 | + | 4.08452i | 1.39437 | + | 0.671491i | 0.972010 | − | 0.234939i | \(-0.0754890\pi\) |
0.422356 | + | 0.906430i | \(0.361203\pi\) | |||||||
\(38\) | −2.61805 | − | 11.4704i | −0.424704 | − | 1.86075i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −4.38953 | − | 1.00188i | −0.694046 | − | 0.158411i | ||||
\(41\) | −1.93756 | − | 2.42962i | −0.302595 | − | 0.379443i | 0.607165 | − | 0.794575i | \(-0.292307\pi\) |
−0.909761 | + | 0.415133i | \(0.863735\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.03318 | − | 7.56536i | 0.920051 | − | 1.15371i | −0.0677061 | − | 0.997705i | \(-0.521568\pi\) |
0.987757 | − | 0.156002i | \(-0.0498606\pi\) | |||||||
\(44\) | −5.00936 | + | 3.99483i | −0.755190 | + | 0.602244i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.20952 | + | 7.78649i | 0.915544 | + | 1.14806i | ||||
\(47\) | −1.86318 | − | 8.16313i | −0.271773 | − | 1.19072i | −0.907919 | − | 0.419146i | \(-0.862329\pi\) |
0.636146 | − | 0.771569i | \(-0.280528\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.90949 | − | 1.12201i | −0.987070 | − | 0.160288i | ||||
\(50\) | 17.1983i | 2.43220i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 11.4224 | − | 9.10906i | 1.58400 | − | 1.26320i | ||||
\(53\) | −0.594462 | − | 1.23441i | −0.0816556 | − | 0.169560i | 0.856143 | − | 0.516738i | \(-0.172854\pi\) |
−0.937799 | + | 0.347179i | \(0.887140\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.00273 | + | 5.58449i | 0.944248 | + | 0.753013i | ||||
\(56\) | −1.84316 | − | 2.73676i | −0.246303 | − | 0.365715i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.877974 | + | 3.84666i | −0.115284 | + | 0.505091i | ||||
\(59\) | −0.856868 | + | 1.07448i | −0.111555 | + | 0.139885i | −0.834474 | − | 0.551047i | \(-0.814228\pi\) |
0.722919 | + | 0.690932i | \(0.242800\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.13768 | + | 10.6685i | −0.657813 | + | 1.36596i | 0.258701 | + | 0.965958i | \(0.416706\pi\) |
−0.916513 | + | 0.400004i | \(0.869009\pi\) | |||||||
\(62\) | 2.60358 | + | 11.4070i | 0.330655 | + | 1.44869i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.62221 | + | 11.4886i | −0.327776 | + | 1.43608i | ||||
\(65\) | −15.9677 | − | 12.7338i | −1.98055 | − | 1.57944i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.21276 | 0.759010 | 0.379505 | − | 0.925190i | \(-0.376094\pi\) | ||||
0.379505 | + | 0.925190i | \(0.376094\pi\) | |||||||
\(68\) | 12.1036 | 1.46778 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −13.9930 | + | 14.9097i | −1.67248 | + | 1.78206i | ||||
\(71\) | 0.0504417 | + | 0.104743i | 0.00598632 | + | 0.0124307i | 0.903941 | − | 0.427658i | \(-0.140661\pi\) |
−0.897954 | + | 0.440089i | \(0.854947\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.10438 | − | 0.480310i | −0.246298 | − | 0.0562160i | 0.0975893 | − | 0.995227i | \(-0.468887\pi\) |
−0.343888 | + | 0.939011i | \(0.611744\pi\) | |||||||
\(74\) | 19.6470 | + | 4.48429i | 2.28391 | + | 0.521288i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.15856 | − | 12.7884i | −0.706435 | − | 1.46693i | ||||
\(77\) | 0.941351 | + | 6.49610i | 0.107277 | + | 0.740299i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.3011 | −1.27147 | −0.635734 | − | 0.771908i | \(-0.719303\pi\) | ||||
−0.635734 | + | 0.771908i | \(0.719303\pi\) | |||||||
\(80\) | 9.00923 | 1.00726 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.20107 | − | 4.14772i | −0.574362 | − | 0.458039i | ||||
\(83\) | 0.130612 | − | 0.572249i | 0.0143365 | − | 0.0628125i | −0.967254 | − | 0.253812i | \(-0.918316\pi\) |
0.981590 | + | 0.190999i | \(0.0611728\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.76506 | − | 16.4958i | −0.408378 | − | 1.78922i | ||||
\(86\) | 8.98762 | − | 18.6630i | 0.969160 | − | 2.01248i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.92909 | + | 2.41900i | −0.205642 | + | 0.257867i | ||||
\(89\) | −1.33313 | + | 5.84082i | −0.141311 | + | 0.619126i | 0.853820 | + | 0.520568i | \(0.174280\pi\) |
−0.995131 | + | 0.0985573i | \(0.968577\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.14648 | − | 14.8125i | −0.225012 | − | 1.55277i | ||||
\(92\) | 9.39377 | + | 7.49128i | 0.979368 | + | 0.781020i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.77701 | − | 16.1491i | −0.802137 | − | 1.66566i | ||||
\(95\) | −15.5133 | + | 12.3714i | −1.59163 | + | 1.26928i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.74458i | 0.684808i | 0.939553 | + | 0.342404i | \(0.111241\pi\) | ||||
−0.939553 | + | 0.342404i | \(0.888759\pi\) | |||||||
\(98\) | −14.9547 | + | 0.949665i | −1.51066 | + | 0.0959307i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.61693 | + | 20.2281i | 0.461693 | + | 2.02281i | ||||
\(101\) | −4.27822 | − | 5.36472i | −0.425699 | − | 0.533810i | 0.522013 | − | 0.852938i | \(-0.325181\pi\) |
−0.947712 | + | 0.319128i | \(0.896610\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.19199 | + | 1.74805i | −0.215983 | + | 0.172241i | −0.725505 | − | 0.688217i | \(-0.758394\pi\) |
0.509522 | + | 0.860458i | \(0.329822\pi\) | |||||||
\(104\) | 4.39874 | − | 5.51584i | 0.431332 | − | 0.540873i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.82867 | − | 2.29308i | −0.177616 | − | 0.222723i | ||||
\(107\) | 9.13658 | + | 2.08536i | 0.883267 | + | 0.201600i | 0.640014 | − | 0.768363i | \(-0.278928\pi\) |
0.243252 | + | 0.969963i | \(0.421786\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.20481 | + | 5.27862i | 0.115400 | + | 0.505601i | 0.999282 | + | 0.0378903i | \(0.0120638\pi\) |
−0.883882 | + | 0.467710i | \(0.845079\pi\) | |||||||
\(110\) | 17.2750 | + | 8.31922i | 1.64711 | + | 0.793206i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.81423 | + | 4.51821i | 0.454902 | + | 0.426931i | ||||
\(113\) | 13.7114 | + | 3.12954i | 1.28986 | + | 0.294403i | 0.811807 | − | 0.583926i | \(-0.198484\pi\) |
0.478056 | + | 0.878329i | \(0.341341\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.28761 | − | 15.1329i | 0.679573 | − | 1.41115i | ||||
\(116\) | 4.76002i | 0.441957i | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.27648 | + | 2.65063i | −0.117509 | + | 0.244010i | ||||
\(119\) | 6.26087 | − | 10.7030i | 0.573933 | − | 0.981143i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.36514 | + | 2.10214i | −0.396831 | + | 0.191104i | ||||
\(122\) | −5.64052 | + | 24.7127i | −0.510669 | + | 2.23739i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.12452 | + | 12.7177i | 0.549998 | + | 1.14208i | ||||
\(125\) | 9.86866 | − | 4.75249i | 0.882680 | − | 0.425076i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.189842 | + | 0.0914232i | 0.0168458 | + | 0.00811250i | 0.442288 | − | 0.896873i | \(-0.354167\pi\) |
−0.425442 | + | 0.904986i | \(0.639881\pi\) | |||||||
\(128\) | 9.55367i | 0.844433i | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −39.3907 | − | 18.9696i | −3.45480 | − | 1.66374i | ||||
\(131\) | 3.46562 | − | 4.34575i | 0.302793 | − | 0.379690i | −0.607036 | − | 0.794675i | \(-0.707642\pi\) |
0.909829 | + | 0.414984i | \(0.136213\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.4942 | − | 1.16918i | −1.25680 | − | 0.101380i | ||||
\(134\) | 12.9662 | − | 2.95945i | 1.12011 | − | 0.255657i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 5.69826 | − | 1.30059i | 0.488622 | − | 0.111525i | ||||
\(137\) | −10.0990 | − | 8.05366i | −0.862814 | − | 0.688071i | 0.0885731 | − | 0.996070i | \(-0.471769\pi\) |
−0.951387 | + | 0.307999i | \(0.900341\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.72014 | − | 7.75155i | 0.824451 | − | 0.657478i | −0.117557 | − | 0.993066i | \(-0.537506\pi\) |
0.942009 | + | 0.335588i | \(0.108935\pi\) | |||||||
\(140\) | −12.4556 | + | 21.2929i | −1.05269 | + | 1.79958i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.155167 | + | 0.194574i | 0.0130214 | + | 0.0163283i | ||||
\(143\) | −12.6449 | + | 6.08949i | −1.05742 | + | 0.509228i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.48734 | − | 1.48069i | 0.538744 | − | 0.122965i | ||||
\(146\) | −4.62068 | −0.382410 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 24.3120 | 1.99844 | ||||||||
\(149\) | 20.2950 | − | 4.63220i | 1.66263 | − | 0.379485i | 0.715069 | − | 0.699054i | \(-0.246395\pi\) |
0.947563 | + | 0.319569i | \(0.103538\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −15.5553 | + | 7.49106i | −1.26588 | + | 0.609614i | −0.941722 | − | 0.336391i | \(-0.890794\pi\) |
−0.324153 | + | 0.946005i | \(0.605079\pi\) | |||||||
\(152\) | −4.27355 | − | 5.35887i | −0.346631 | − | 0.434662i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.05903 | + | 13.1091i | 0.407668 | + | 1.05636i | ||||
\(155\) | 15.4275 | − | 12.3031i | 1.23917 | − | 0.988205i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.179410 | − | 0.143074i | −0.0143184 | − | 0.0114186i | 0.616304 | − | 0.787508i | \(-0.288629\pi\) |
−0.630623 | + | 0.776089i | \(0.717201\pi\) | |||||||
\(158\) | −23.5856 | + | 5.38325i | −1.87637 | + | 0.428269i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 27.5815 | − | 6.29531i | 2.18051 | − | 0.497688i | ||||
\(161\) | 11.4835 | − | 4.43170i | 0.905029 | − | 0.349267i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.69637 | − | 8.39698i | 0.524500 | − | 0.657702i | −0.447058 | − | 0.894505i | \(-0.647528\pi\) |
0.971558 | + | 0.236803i | \(0.0760996\pi\) | |||||||
\(164\) | −7.23082 | − | 3.48218i | −0.564632 | − | 0.271913i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 1.25651i | − | 0.0975245i | ||||||
\(167\) | 2.82756 | + | 1.36168i | 0.218803 | + | 0.105370i | 0.540075 | − | 0.841617i | \(-0.318396\pi\) |
−0.321271 | + | 0.946987i | \(0.604110\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 17.1206 | − | 8.24483i | 1.31697 | − | 0.634218i | ||||
\(170\) | −15.7155 | − | 32.6336i | −1.20533 | − | 2.50289i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.56084 | − | 24.3636i | 0.424010 | − | 1.85771i | ||||
\(173\) | −13.4507 | + | 6.47751i | −1.02264 | + | 0.492476i | −0.868560 | − | 0.495583i | \(-0.834954\pi\) |
−0.154076 | + | 0.988059i | \(0.549240\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 20.2755 | + | 6.38077i | 1.53269 | + | 0.482341i | ||||
\(176\) | 2.68620 | − | 5.57796i | 0.202480 | − | 0.420455i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 12.8250i | 0.961272i | ||||||||
\(179\) | −2.70448 | + | 5.61591i | −0.202142 | + | 0.419753i | −0.977254 | − | 0.212071i | \(-0.931979\pi\) |
0.775112 | + | 0.631824i | \(0.217693\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −13.7794 | − | 3.14506i | −1.02421 | − | 0.233770i | −0.322758 | − | 0.946482i | \(-0.604610\pi\) |
−0.701457 | + | 0.712711i | \(0.747467\pi\) | |||||||
\(182\) | −11.5357 | − | 29.8915i | −0.855080 | − | 2.21571i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.22746 | + | 2.51741i | 0.385374 | + | 0.185586i | ||||
\(185\) | −7.56270 | − | 33.1344i | −0.556021 | − | 2.43609i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.3358 | − | 2.58732i | −0.828954 | − | 0.189203i | ||||
\(188\) | −13.4824 | − | 16.9064i | −0.983304 | − | 1.23302i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −26.4835 | + | 33.2092i | −1.92131 | + | 2.40925i | ||||
\(191\) | 0.690150 | − | 0.550376i | 0.0499375 | − | 0.0398238i | −0.598203 | − | 0.801345i | \(-0.704118\pi\) |
0.648141 | + | 0.761521i | \(0.275547\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.56777 | − | 1.96592i | −0.112850 | − | 0.141510i | 0.722198 | − | 0.691686i | \(-0.243132\pi\) |
−0.835048 | + | 0.550176i | \(0.814560\pi\) | |||||||
\(194\) | 3.21278 | + | 14.0761i | 0.230664 | + | 1.01060i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −17.3344 | + | 5.13162i | −1.23817 | + | 0.366545i | ||||
\(197\) | 16.1008i | 1.14714i | 0.819158 | + | 0.573568i | \(0.194441\pi\) | ||||
−0.819158 | + | 0.573568i | \(0.805559\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.92580 | + | 1.53577i | −0.136516 | + | 0.108868i | −0.689367 | − | 0.724412i | \(-0.742111\pi\) |
0.552851 | + | 0.833280i | \(0.313540\pi\) | |||||||
\(200\) | 4.34721 | + | 9.02707i | 0.307394 | + | 0.638310i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −11.4842 | − | 9.15837i | −0.808027 | − | 0.644380i | ||||
\(203\) | 4.20920 | + | 2.46223i | 0.295428 | + | 0.172814i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.49651 | + | 10.9379i | −0.174364 | + | 0.763939i | ||||
\(206\) | −3.74204 | + | 4.69237i | −0.260721 | + | 0.326933i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.12511 | + | 12.7189i | −0.424700 | + | 0.881899i | ||||
\(209\) | 3.03417 | + | 13.2936i | 0.209878 | + | 0.919534i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.13084 | + | 22.4797i | −0.353221 | + | 1.54756i | 0.416471 | + | 0.909149i | \(0.363267\pi\) |
−0.769692 | + | 0.638415i | \(0.779590\pi\) | |||||||
\(212\) | −2.76641 | − | 2.20614i | −0.189998 | − | 0.151518i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 20.0616 | 1.37138 | ||||||||
\(215\) | −34.9345 | −2.38251 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.4141 | + | 1.16271i | 0.978490 | + | 0.0789301i | ||||
\(218\) | 5.02894 | + | 10.4427i | 0.340603 | + | 0.707269i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 22.5517 | + | 5.14729i | 1.52044 | + | 0.347030i | ||||
\(221\) | 25.8480 | + | 5.89963i | 1.73872 | + | 0.396852i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.87647 | − | 14.2791i | −0.460482 | − | 0.956202i | −0.993893 | − | 0.110345i | \(-0.964804\pi\) |
0.533411 | − | 0.845856i | \(-0.320910\pi\) | |||||||
\(224\) | 17.8958 | + | 10.4684i | 1.19571 | + | 0.699449i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 30.1068 | 2.00268 | ||||||||
\(227\) | −20.3914 | −1.35342 | −0.676711 | − | 0.736249i | \(-0.736595\pi\) | ||||
−0.676711 | + | 0.736249i | \(0.736595\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.2428 | + | 14.5482i | 1.20552 | + | 0.961371i | 0.999851 | − | 0.0172501i | \(-0.00549116\pi\) |
0.205670 | + | 0.978621i | \(0.434063\pi\) | |||||||
\(230\) | 8.00088 | − | 35.0541i | 0.527562 | − | 2.31140i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.511487 | + | 2.24097i | 0.0335807 | + | 0.147127i | ||||
\(233\) | −9.92363 | + | 20.6066i | −0.650119 | + | 1.34999i | 0.271707 | + | 0.962380i | \(0.412412\pi\) |
−0.921825 | + | 0.387605i | \(0.873302\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −18.8474 | + | 23.6339i | −1.22947 | + | 1.54171i | ||||
\(236\) | −0.789784 | + | 3.46027i | −0.0514106 | + | 0.225245i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 7.96821 | − | 25.3198i | 0.516502 | − | 1.64124i | ||||
\(239\) | −19.7044 | − | 15.7137i | −1.27457 | − | 1.01644i | −0.998469 | − | 0.0553060i | \(-0.982387\pi\) |
−0.276100 | − | 0.961129i | \(-0.589042\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.94537 | − | 18.5752i | −0.576222 | − | 1.19654i | −0.961772 | − | 0.273850i | \(-0.911703\pi\) |
0.385551 | − | 0.922687i | \(-0.374012\pi\) | |||||||
\(242\) | −8.10880 | + | 6.46655i | −0.521253 | + | 0.415686i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 30.5807i | 1.95773i | ||||||||
\(245\) | 12.3860 | + | 22.0284i | 0.791311 | + | 1.40734i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.91854 | − | 30.3121i | −0.440216 | − | 1.92871i | ||||
\(248\) | 4.24993 | + | 5.32925i | 0.269871 | + | 0.338408i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 18.3323 | − | 14.6195i | 1.15943 | − | 0.924618i | ||||
\(251\) | −0.597185 | + | 0.748847i | −0.0376940 | + | 0.0472668i | −0.800321 | − | 0.599571i | \(-0.795338\pi\) |
0.762627 | + | 0.646838i | \(0.223909\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.19646 | − | 9.02408i | −0.452438 | − | 0.567339i | ||||
\(254\) | 0.439755 | + | 0.100371i | 0.0275927 | + | 0.00629785i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.693528 | − | 3.03854i | −0.0433455 | − | 0.189909i | ||||
\(257\) | 23.9108 | + | 11.5148i | 1.49151 | + | 0.718275i | 0.989222 | − | 0.146424i | \(-0.0467764\pi\) |
0.502291 | + | 0.864699i | \(0.332491\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.5759 | − | 21.4986i | 0.781430 | − | 1.33586i | ||||
\(260\) | −51.4227 | − | 11.7369i | −3.18910 | − | 0.727892i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.16274 | − | 10.7205i | 0.318955 | − | 0.662317i | ||||
\(263\) | − | 13.2563i | − | 0.817419i | −0.912665 | − | 0.408709i | \(-0.865979\pi\) | ||
0.912665 | − | 0.408709i | \(-0.134021\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.14616 | + | 4.45655i | −0.131838 | + | 0.273764i | ||||
\(266\) | −30.8066 | + | 4.46419i | −1.88887 | + | 0.273717i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 14.4560 | − | 6.96164i | 0.883040 | − | 0.425250i | ||||
\(269\) | 1.28551 | − | 5.63220i | 0.0783791 | − | 0.343401i | −0.920500 | − | 0.390743i | \(-0.872218\pi\) |
0.998879 | + | 0.0473422i | \(0.0150751\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.41890 | + | 2.94639i | 0.0861923 | + | 0.178980i | 0.939610 | − | 0.342248i | \(-0.111188\pi\) |
−0.853417 | + | 0.521228i | \(0.825474\pi\) | |||||||
\(272\) | −10.5371 | + | 5.07441i | −0.638907 | + | 0.307681i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −24.9132 | − | 11.9975i | −1.50506 | − | 0.724798i | ||||
\(275\) | − | 19.9318i | − | 1.20193i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.22028 | + | 3.47711i | 0.433825 | + | 0.208919i | 0.638034 | − | 0.770008i | \(-0.279748\pi\) |
−0.204209 | + | 0.978927i | \(0.565462\pi\) | |||||||
\(278\) | 16.5937 | − | 20.8079i | 0.995225 | − | 1.24797i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.57593 | + | 11.3629i | −0.213703 | + | 0.679062i | ||||
\(281\) | 17.5801 | − | 4.01254i | 1.04874 | − | 0.239368i | 0.336777 | − | 0.941584i | \(-0.390663\pi\) |
0.711964 | + | 0.702216i | \(0.247806\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.0873 | + | 3.67181i | −0.956288 | + | 0.218266i | −0.672065 | − | 0.740492i | \(-0.734593\pi\) |
−0.284223 | + | 0.958758i | \(0.591735\pi\) | |||||||
\(284\) | 0.234737 | + | 0.187197i | 0.0139291 | + | 0.0111081i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −23.4896 | + | 18.7323i | −1.38897 | + | 1.10767i | ||||
\(287\) | −6.81953 | + | 4.59284i | −0.402544 | + | 0.271107i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.09543 | + | 3.88155i | 0.182084 | + | 0.228327i | ||||
\(290\) | 12.8339 | − | 6.18048i | 0.753633 | − | 0.362930i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.43471 | + | 1.24044i | −0.318042 | + | 0.0725911i | ||||
\(293\) | −0.0380752 | −0.00222437 | −0.00111219 | − | 0.999999i | \(-0.500354\pi\) | ||||
−0.00111219 | + | 0.999999i | \(0.500354\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.96161 | 0.288876 | ||||||||
\(296\) | 11.4458 | − | 2.61244i | 0.665276 | − | 0.151845i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 40.1496 | − | 19.3350i | 2.32580 | − | 1.12005i | ||||
\(299\) | 16.4095 | + | 20.5768i | 0.948984 | + | 1.18999i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −18.6678 | − | 17.5200i | −1.07600 | − | 1.00983i | ||||
\(302\) | −28.8960 | + | 23.0438i | −1.66278 | + | 1.32602i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 10.7230 | + | 8.55129i | 0.615005 | + | 0.490450i | ||||
\(305\) | 41.6778 | − | 9.51268i | 2.38646 | − | 0.544694i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.80078 | − | 1.09575i | 0.273995 | − | 0.0625375i | −0.0833157 | − | 0.996523i | \(-0.526551\pi\) |
0.357310 | + | 0.933986i | \(0.383694\pi\) | |||||||
\(308\) | 9.46947 | + | 14.0604i | 0.539573 | + | 0.801167i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 26.3371 | − | 33.0257i | 1.49585 | − | 1.87573i | ||||
\(311\) | −28.4804 | − | 13.7154i | −1.61498 | − | 0.777731i | −0.615034 | − | 0.788501i | \(-0.710858\pi\) |
−0.999942 | + | 0.0107695i | \(0.996572\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.29521i | 0.0732094i | 0.999330 | + | 0.0366047i | \(0.0116542\pi\) | ||||
−0.999330 | + | 0.0366047i | \(0.988346\pi\) | |||||||
\(314\) | −0.442585 | − | 0.213138i | −0.0249765 | − | 0.0120281i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −26.2955 | + | 12.6633i | −1.47924 | + | 0.712364i | ||||
\(317\) | 14.1606 | + | 29.4047i | 0.795337 | + | 1.65153i | 0.758020 | + | 0.652231i | \(0.226167\pi\) |
0.0373165 | + | 0.999303i | \(0.488119\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.01752 | − | 4.45805i | 0.0569702 | − | 0.249603i | ||||
\(320\) | 38.3305 | − | 18.4590i | 2.14274 | − | 1.03189i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 21.8554 | − | 14.7192i | 1.21795 | − | 0.820271i | ||||
\(323\) | 11.1761 | − | 23.2073i | 0.621852 | − | 1.29129i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 45.4487i | 2.52104i | ||||||||
\(326\) | 9.97558 | − | 20.7145i | 0.552496 | − | 1.14727i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.77837 | − | 0.862389i | −0.208626 | − | 0.0476174i | ||||
\(329\) | −21.9240 | + | 3.17702i | −1.20871 | + | 0.175155i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.6576 | − | 13.8008i | −1.57517 | − | 0.758560i | −0.576865 | − | 0.816839i | \(-0.695724\pi\) |
−0.998300 | + | 0.0582797i | \(0.981438\pi\) | |||||||
\(332\) | −0.337316 | − | 1.47788i | −0.0185126 | − | 0.0811090i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 6.54983 | + | 1.49496i | 0.358391 | + | 0.0818003i | ||||
\(335\) | −13.9847 | − | 17.5362i | −0.764065 | − | 0.958107i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.66974 | + | 10.8715i | −0.472271 | + | 0.592209i | −0.959725 | − | 0.280940i | \(-0.909354\pi\) |
0.487455 | + | 0.873148i | \(0.337925\pi\) | |||||||
\(338\) | 31.8036 | − | 25.3625i | 1.72989 | − | 1.37954i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −27.2448 | − | 34.1639i | −1.47756 | − | 1.85280i | ||||
\(341\) | −3.01740 | − | 13.2201i | −0.163401 | − | 0.715907i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.42881 | + | 17.9829i | −0.239133 | + | 0.970987i | ||||
\(344\) | − | 12.0677i | − | 0.650646i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −24.9863 | + | 19.9259i | −1.34327 | + | 1.07122i | ||||
\(347\) | −6.34306 | − | 13.1715i | −0.340513 | − | 0.707083i | 0.658449 | − | 0.752625i | \(-0.271213\pi\) |
−0.998962 | + | 0.0455420i | \(0.985499\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 19.8349 | + | 15.8178i | 1.06174 | + | 0.846709i | 0.988593 | − | 0.150612i | \(-0.0481245\pi\) |
0.0731466 | + | 0.997321i | \(0.476696\pi\) | |||||||
\(350\) | 45.3550 | + | 3.65857i | 2.42433 | + | 0.195559i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.32608 | − | 18.9538i | 0.230581 | − | 1.01024i | ||||
\(353\) | 14.7630 | − | 18.5122i | 0.785755 | − | 0.985306i | −0.214209 | − | 0.976788i | \(-0.568717\pi\) |
0.999964 | − | 0.00851784i | \(-0.00271135\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.182107 | − | 0.378150i | 0.00966526 | − | 0.0200701i | ||||
\(356\) | 3.44291 | + | 15.0844i | 0.182474 | + | 0.799470i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.96918 | + | 13.0088i | −0.156926 | + | 0.687537i | ||||
\(359\) | 20.1008 | + | 16.0298i | 1.06088 | + | 0.846023i | 0.988480 | − | 0.151353i | \(-0.0483630\pi\) |
0.0723992 | + | 0.997376i | \(0.476934\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.2068 | −0.589833 | ||||||||
\(362\) | −30.2561 | −1.59022 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −21.5924 | − | 32.0608i | −1.13175 | − | 1.68044i | ||||
\(365\) | 3.38113 | + | 7.02099i | 0.176977 | + | 0.367496i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.93071 | + | 2.26662i | 0.518379 | + | 0.118317i | 0.473702 | − | 0.880685i | \(-0.342917\pi\) |
0.0446763 | + | 0.999002i | \(0.485774\pi\) | |||||||
\(368\) | −11.3187 | − | 2.58341i | −0.590027 | − | 0.134670i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −31.5671 | − | 65.5497i | −1.64109 | − | 3.40777i | ||||
\(371\) | −3.38183 | + | 1.30511i | −0.175576 | + | 0.0677580i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −24.3982 | −1.26329 | −0.631645 | − | 0.775257i | \(-0.717620\pi\) | ||||
−0.631645 | + | 0.775257i | \(0.717620\pi\) | |||||||
\(374\) | −24.8905 | −1.28706 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −8.16403 | − | 6.51060i | −0.421028 | − | 0.335759i | ||||
\(377\) | −2.32016 | + | 10.1653i | −0.119494 | + | 0.523539i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.74465 | − | 12.0251i | −0.140983 | − | 0.617687i | −0.995208 | − | 0.0977830i | \(-0.968825\pi\) |
0.854225 | − | 0.519904i | \(-0.174032\pi\) | |||||||
\(380\) | −22.2340 | + | 46.1693i | −1.14058 | + | 2.36844i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.17819 | − | 1.47740i | 0.0602813 | − | 0.0755904i | ||||
\(383\) | 0.625679 | − | 2.74128i | 0.0319707 | − | 0.140073i | −0.956424 | − | 0.291982i | \(-0.905685\pi\) |
0.988394 | + | 0.151910i | \(0.0485423\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 16.2170 | − | 17.2795i | 0.826496 | − | 0.880646i | ||||
\(386\) | −4.20843 | − | 3.35611i | −0.214203 | − | 0.170821i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 7.55756 | + | 15.6934i | 0.383677 | + | 0.796713i | ||||
\(389\) | −3.60389 | + | 2.87401i | −0.182724 | + | 0.145718i | −0.710580 | − | 0.703616i | \(-0.751568\pi\) |
0.527856 | + | 0.849334i | \(0.322996\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.8040i | 1.10268i | ||||||||
\(392\) | −7.60944 | + | 4.27858i | −0.384335 | + | 0.216101i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.66962 | + | 33.6028i | 0.386390 | + | 1.69288i | ||||
\(395\) | 25.4382 | + | 31.8985i | 1.27994 | + | 1.60499i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.62178 | − | 2.88827i | 0.181772 | − | 0.144958i | −0.528377 | − | 0.849010i | \(-0.677199\pi\) |
0.710149 | + | 0.704052i | \(0.248628\pi\) | |||||||
\(398\) | −3.28762 | + | 4.12255i | −0.164794 | + | 0.206645i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −12.5000 | − | 15.6745i | −0.624998 | − | 0.783723i | ||||
\(401\) | 11.6033 | + | 2.64838i | 0.579442 | + | 0.132254i | 0.502189 | − | 0.864758i | \(-0.332528\pi\) |
0.0772524 | + | 0.997012i | \(0.475385\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.88030 | + | 30.1446i | 0.342732 | + | 1.50161i | ||||
\(404\) | −15.9660 | − | 7.68883i | −0.794339 | − | 0.382534i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.95757 | + | 3.13368i | 0.494186 | + | 0.155522i | ||||
\(407\) | −22.7697 | − | 5.19703i | −1.12865 | − | 0.257607i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.0113431 | + | 0.0235542i | −0.000560882 | + | 0.00116468i | −0.901249 | − | 0.433301i | \(-0.857349\pi\) |
0.900688 | + | 0.434466i | \(0.143063\pi\) | |||||||
\(410\) | 24.0170i | 1.18611i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.14160 | + | 6.52360i | −0.154776 | + | 0.321395i | ||||
\(413\) | 2.65132 | + | 2.48829i | 0.130463 | + | 0.122441i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.90924 | + | 0.919442i | −0.0937210 | + | 0.0451336i | ||||
\(416\) | −9.86438 | + | 43.2187i | −0.483641 | + | 2.11897i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 12.6648 | + | 26.2986i | 0.619454 | + | 1.28631i | ||||
\(419\) | 19.8521 | − | 9.56027i | 0.969838 | − | 0.467050i | 0.119240 | − | 0.992865i | \(-0.461954\pi\) |
0.850598 | + | 0.525816i | \(0.176240\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.1780 | + | 8.27249i | 0.837205 | + | 0.403177i | 0.802812 | − | 0.596232i | \(-0.203336\pi\) |
0.0343926 | + | 0.999408i | \(0.489050\pi\) | |||||||
\(422\) | 49.3597i | 2.40279i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −1.53946 | − | 0.741364i | −0.0747627 | − | 0.0360038i | ||||
\(425\) | −23.4759 | + | 29.4378i | −1.13875 | + | 1.42794i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 27.0419 | + | 15.8185i | 1.30865 | + | 0.765512i | ||||
\(428\) | 23.5959 | − | 5.38561i | 1.14055 | − | 0.260323i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −72.9092 | + | 16.6410i | −3.51599 | + | 0.802502i | ||||
\(431\) | 12.7747 | + | 10.1875i | 0.615337 | + | 0.490715i | 0.880852 | − | 0.473392i | \(-0.156970\pi\) |
−0.265515 | + | 0.964107i | \(0.585542\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.91646 | + | 3.92075i | −0.236270 | + | 0.188419i | −0.734466 | − | 0.678645i | \(-0.762567\pi\) |
0.498196 | + | 0.867064i | \(0.333996\pi\) | |||||||
\(434\) | 30.6363 | − | 4.43952i | 1.47059 | − | 0.213104i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.71828 | + | 10.9324i | 0.417530 | + | 0.523566i | ||||
\(437\) | 23.0375 | − | 11.0943i | 1.10203 | − | 0.530712i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.76219 | + | 1.31518i | −0.275014 | + | 0.0627703i | −0.357804 | − | 0.933797i | \(-0.616474\pi\) |
0.0827892 | + | 0.996567i | \(0.473617\pi\) | |||||||
\(440\) | 11.1702 | 0.532519 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 56.7556 | 2.69959 | ||||||||
\(443\) | −3.00551 | + | 0.685988i | −0.142796 | + | 0.0325923i | −0.293321 | − | 0.956014i | \(-0.594761\pi\) |
0.150525 | + | 0.988606i | \(0.451903\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 19.4872 | − | 9.38454i | 0.923782 | − | 0.444870i | ||||
\(446\) | −21.1532 | − | 26.5253i | −1.00163 | − | 1.25601i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 29.7399 | + | 9.35922i | 1.40508 | + | 0.442182i | ||||
\(449\) | 28.2620 | − | 22.5382i | 1.33377 | − | 1.06364i | 0.341452 | − | 0.939899i | \(-0.389081\pi\) |
0.992314 | − | 0.123744i | \(-0.0394902\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.02773 | + | 4.80696i | 0.283835 | + | 0.226351i | ||||
\(452\) | 35.4108 | − | 8.08229i | 1.66558 | − | 0.380159i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −42.5572 | + | 9.71341i | −1.99731 | + | 0.455873i | ||||
\(455\) | −36.9783 | + | 39.4010i | −1.73357 | + | 1.84715i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.3269 | + | 14.2035i | −0.529849 | + | 0.664410i | −0.972668 | − | 0.232201i | \(-0.925407\pi\) |
0.442819 | + | 0.896611i | \(0.353979\pi\) | |||||||
\(458\) | 45.0033 | + | 21.6724i | 2.10286 | + | 1.01269i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 43.3776i | − | 2.02249i | ||||||
\(461\) | −20.5242 | − | 9.88391i | −0.955905 | − | 0.460340i | −0.110153 | − | 0.993915i | \(-0.535134\pi\) |
−0.845753 | + | 0.533575i | \(0.820848\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −35.5308 | + | 17.1107i | −1.65126 | + | 0.795204i | −0.651940 | + | 0.758270i | \(0.726045\pi\) |
−0.999318 | + | 0.0369334i | \(0.988241\pi\) | |||||||
\(464\) | −1.99562 | − | 4.14396i | −0.0926446 | − | 0.192378i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.8949 | + | 47.7336i | −0.504696 | + | 2.21122i | ||||
\(467\) | −13.4779 | + | 6.49063i | −0.623685 | + | 0.300351i | −0.718908 | − | 0.695105i | \(-0.755358\pi\) |
0.0952234 | + | 0.995456i | \(0.469643\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.32164 | − | 16.3842i | 0.0610275 | − | 0.756553i | ||||
\(470\) | −28.0770 | + | 58.3025i | −1.29510 | + | 2.68929i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.71393i | 0.0788898i | ||||||||
\(473\) | −10.4161 | + | 21.6293i | −0.478934 | + | 0.994516i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 43.0482 | + | 9.82547i | 1.97519 | + | 0.450823i | ||||
\(476\) | 2.57480 | − | 31.9195i | 0.118016 | − | 1.46303i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −48.6087 | − | 23.4087i | −2.22331 | − | 1.07069i | ||||
\(479\) | 5.93866 | + | 26.0189i | 0.271344 | + | 1.18884i | 0.908428 | + | 0.418042i | \(0.137283\pi\) |
−0.637084 | + | 0.770795i | \(0.719859\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 51.9196 | + | 11.8503i | 2.36733 | + | 0.540328i | ||||
\(482\) | −27.5175 | − | 34.5059i | −1.25339 | − | 1.57170i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.80137 | + | 9.78261i | −0.354608 | + | 0.444664i | ||||
\(485\) | 19.0373 | − | 15.1818i | 0.864441 | − | 0.689369i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.1767 | − | 14.0151i | −0.506463 | − | 0.635084i | 0.461211 | − | 0.887291i | \(-0.347415\pi\) |
−0.967673 | + | 0.252206i | \(0.918844\pi\) | |||||||
\(488\) | 3.28603 | + | 14.3971i | 0.148752 | + | 0.651724i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 36.3431 | + | 40.0738i | 1.64181 | + | 1.81035i | ||||
\(491\) | 26.9866i | 1.21789i | 0.793213 | + | 0.608944i | \(0.208407\pi\) | ||||
−0.793213 | + | 0.608944i | \(0.791593\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.75354 | + | 5.38577i | −0.304164 | + | 0.242563i | ||||
\(494\) | −28.8783 | − | 59.9665i | −1.29930 | − | 2.69802i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −10.6637 | − | 8.50402i | −0.478814 | − | 0.381842i | ||||
\(497\) | 0.286958 | − | 0.110742i | 0.0128718 | − | 0.00496746i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.493922 | − | 2.16401i | 0.0221110 | − | 0.0968746i | −0.962668 | − | 0.270683i | \(-0.912750\pi\) |
0.984779 | + | 0.173809i | \(0.0556075\pi\) | |||||||
\(500\) | 17.6372 | − | 22.1164i | 0.788761 | − | 0.989076i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.889627 | + | 1.84733i | −0.0397060 | + | 0.0824504i | ||||
\(503\) | 7.52668 | + | 32.9765i | 0.335598 | + | 1.47035i | 0.808113 | + | 0.589028i | \(0.200489\pi\) |
−0.472515 | + | 0.881323i | \(0.656654\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.51243 | + | 24.1515i | −0.245300 | + | 1.07473i | ||||
\(506\) | −19.3178 | − | 15.4054i | −0.858781 | − | 0.684855i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.544172 | 0.0241437 | ||||||||
\(509\) | −33.9677 | −1.50559 | −0.752795 | − | 0.658255i | \(-0.771295\pi\) | ||||
−0.752795 | + | 0.658255i | \(0.771295\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.71433 | + | 5.44745i | −0.0758374 | + | 0.240981i | ||||
\(512\) | −11.1852 | − | 23.2263i | −0.494320 | − | 1.02647i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 55.3874 | + | 12.6418i | 2.44303 | + | 0.557607i | ||||
\(515\) | 9.86814 | + | 2.25234i | 0.434842 | + | 0.0992499i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.01309 | + | 18.7159i | 0.396395 | + | 0.823123i | ||||
\(518\) | 16.0054 | − | 50.8587i | 0.703236 | − | 2.23460i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −25.4705 | −1.11695 | ||||||||
\(521\) | −41.3605 | −1.81204 | −0.906019 | − | 0.423236i | \(-0.860894\pi\) | ||||
−0.906019 | + | 0.423236i | \(0.860894\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.2140 | + | 13.7277i | 0.752716 | + | 0.600271i | 0.922854 | − | 0.385150i | \(-0.125850\pi\) |
−0.170139 | + | 0.985420i | \(0.554422\pi\) | |||||||
\(524\) | 3.19430 | − | 13.9951i | 0.139544 | − | 0.611381i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.31463 | − | 27.6662i | −0.275331 | − | 1.20630i | ||||
\(527\) | −11.1143 | + | 23.0790i | −0.484146 | + | 1.00534i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.845143 | − | 1.05978i | 0.0367454 | − | 0.0460772i | ||||
\(530\) | −2.35621 | + | 10.3232i | −0.102347 | + | 0.448413i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −35.0354 | + | 13.5208i | −1.51898 | + | 0.586201i | ||||
\(533\) | −13.7445 | − | 10.9609i | −0.595341 | − | 0.474768i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −14.6799 | − | 30.4831i | −0.634667 | − | 1.31790i | ||||
\(536\) | 6.05767 | − | 4.83083i | 0.261651 | − | 0.208660i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 12.3669i | − | 0.533174i | ||||||
\(539\) | 17.3317 | − | 1.10061i | 0.746528 | − | 0.0474064i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.31388 | + | 10.1378i | 0.0994816 | + | 0.435857i | 0.999999 | + | 0.00103828i | \(0.000330494\pi\) |
−0.900518 | + | 0.434819i | \(0.856812\pi\) | |||||||
\(542\) | 4.36480 | + | 5.47328i | 0.187484 | + | 0.235098i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −28.7133 | + | 22.8981i | −1.23107 | + | 0.981748i | ||||
\(545\) | 12.1875 | − | 15.2827i | 0.522057 | − | 0.654638i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −24.6968 | − | 30.9688i | −1.05596 | − | 1.32413i | −0.943828 | − | 0.330438i | \(-0.892804\pi\) |
−0.112132 | − | 0.993693i | \(-0.535768\pi\) | |||||||
\(548\) | −32.5229 | − | 7.42315i | −1.38931 | − | 0.317101i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −9.49449 | − | 41.5981i | −0.404846 | − | 1.77375i | ||||
\(551\) | 9.12680 | + | 4.39523i | 0.388815 | + | 0.187243i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.40407 | + | 29.8030i | −0.102231 | + | 1.26735i | ||||
\(554\) | 16.7252 | + | 3.81742i | 0.710587 | + | 0.162187i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.9311 | − | 28.9282i | 0.590811 | − | 1.22683i | ||||
\(557\) | − | 14.9986i | − | 0.635511i | −0.948173 | − | 0.317755i | \(-0.897071\pi\) | ||
0.948173 | − | 0.317755i | \(-0.102929\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 23.7510 | − | 49.3194i | 1.00456 | − | 2.08599i | ||||
\(560\) | 1.91653 | − | 23.7590i | 0.0809881 | − | 1.00400i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 34.7787 | − | 16.7485i | 1.46705 | − | 0.706495i | ||||
\(563\) | 4.42643 | − | 19.3935i | 0.186552 | − | 0.817337i | −0.791865 | − | 0.610696i | \(-0.790890\pi\) |
0.978417 | − | 0.206641i | \(-0.0662531\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −22.0304 | − | 45.7465i | −0.926825 | − | 1.92457i | ||||
\(566\) | −31.8254 | + | 15.3263i | −1.33772 | + | 0.644213i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.130627 | + | 0.0629067i | 0.00548099 | + | 0.00263951i | ||||
\(569\) | − | 6.21580i | − | 0.260580i | −0.991476 | − | 0.130290i | \(-0.958409\pi\) | ||
0.991476 | − | 0.130290i | \(-0.0415908\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.8217 | + | 5.69303i | 0.494723 | + | 0.238246i | 0.664572 | − | 0.747224i | \(-0.268614\pi\) |
−0.169849 | + | 0.985470i | \(0.554328\pi\) | |||||||
\(572\) | −22.5990 | + | 28.3383i | −0.944913 | + | 1.18488i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −12.0447 | + | 12.8338i | −0.502737 | + | 0.535674i | ||||
\(575\) | −36.4398 | + | 8.31715i | −1.51964 | + | 0.346849i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 14.5003 | − | 3.30960i | 0.603656 | − | 0.137781i | 0.0902394 | − | 0.995920i | \(-0.471237\pi\) |
0.513416 | + | 0.858140i | \(0.328380\pi\) | |||||||
\(578\) | 8.30922 | + | 6.62638i | 0.345618 | + | 0.275621i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 13.4357 | − | 10.7146i | 0.557887 | − | 0.444900i | ||||
\(581\) | −1.48134 | − | 0.466183i | −0.0614564 | − | 0.0193405i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.11932 | + | 2.65754i | 0.0877732 | + | 0.110064i | ||||
\(584\) | −2.42531 | + | 1.16797i | −0.100360 | + | 0.0483309i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.0794638 | + | 0.0181371i | −0.00328262 | + | 0.000749236i | ||||
\(587\) | 31.7302 | 1.30965 | 0.654823 | − | 0.755782i | \(-0.272743\pi\) | ||||
0.654823 | + | 0.755782i | \(0.272743\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 30.0399 | 1.23777 | ||||||||
\(590\) | 10.3550 | − | 2.36346i | 0.426309 | − | 0.0973022i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −21.1654 | + | 10.1927i | −0.869894 | + | 0.418919i | ||||
\(593\) | −0.0568661 | − | 0.0713078i | −0.00233521 | − | 0.00292826i | 0.780663 | − | 0.624953i | \(-0.214882\pi\) |
−0.782998 | + | 0.622025i | \(0.786310\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −44.3034 | + | 6.42002i | −1.81626 | + | 0.263195i | ||||
\(596\) | 42.0323 | − | 33.5196i | 1.72171 | − | 1.37302i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 44.0487 | + | 35.1277i | 1.80128 | + | 1.43648i | ||||
\(599\) | −12.4813 | + | 2.84878i | −0.509973 | + | 0.116398i | −0.469762 | − | 0.882793i | \(-0.655660\pi\) |
−0.0402109 | + | 0.999191i | \(0.512803\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.5018 | + | 2.62520i | −0.469167 | + | 0.107084i | −0.450567 | − | 0.892743i | \(-0.648778\pi\) |
−0.0186002 | + | 0.999827i | \(0.505921\pi\) | |||||||
\(602\) | −47.3058 | − | 27.6722i | −1.92804 | − | 1.12783i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −27.8005 | + | 34.8607i | −1.13119 | + | 1.41846i | ||||
\(605\) | 15.7593 | + | 7.58927i | 0.640706 | + | 0.308548i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 10.4717i | − | 0.425032i | −0.977158 | − | 0.212516i | \(-0.931834\pi\) | ||
0.977158 | − | 0.212516i | \(-0.0681657\pi\) | |||||||
\(608\) | 38.8034 | + | 18.6867i | 1.57369 | + | 0.757848i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 82.4511 | − | 39.7064i | 3.33835 | − | 1.60766i | ||||
\(611\) | −20.5518 | − | 42.6762i | −0.831435 | − | 1.72649i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.03873 | − | 26.4574i | 0.243902 | − | 1.06860i | −0.693528 | − | 0.720430i | \(-0.743945\pi\) |
0.937430 | − | 0.348174i | \(-0.113198\pi\) | |||||||
\(614\) | 9.49737 | − | 4.57369i | 0.383283 | − | 0.184579i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.96899 | + | 5.60196i | 0.240497 | + | 0.225710i | ||||
\(617\) | 6.61067 | − | 13.7272i | 0.266136 | − | 0.552636i | −0.724483 | − | 0.689293i | \(-0.757921\pi\) |
0.990618 | + | 0.136657i | \(0.0436357\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.2828i | 1.17697i | 0.808507 | + | 0.588487i | \(0.200276\pi\) | ||||
−0.808507 | + | 0.588487i | \(0.799724\pi\) | |||||||
\(620\) | 22.1111 | − | 45.9141i | 0.888003 | − | 1.84396i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −65.9726 | − | 15.0578i | −2.64526 | − | 0.603764i | ||||
\(623\) | 15.1197 | + | 4.75822i | 0.605759 | + | 0.190634i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.563350 | + | 0.271295i | 0.0225340 | + | 0.0108518i | ||||
\(626\) | 0.616971 | + | 2.70313i | 0.0246591 | + | 0.108039i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.577774 | − | 0.131873i | −0.0230557 | − | 0.00526231i | ||||
\(629\) | 27.5080 | + | 34.4940i | 1.09682 | + | 1.37537i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 23.9307 | − | 30.0082i | 0.952668 | − | 1.19461i | −0.0281348 | − | 0.999604i | \(-0.508957\pi\) |
0.980803 | − | 0.195003i | \(-0.0624718\pi\) | |||||||
\(632\) | −11.0189 | + | 8.78731i | −0.438310 | + | 0.349540i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 43.5604 | + | 54.6230i | 1.73000 | + | 2.16936i | ||||
\(635\) | −0.169275 | − | 0.741641i | −0.00671747 | − | 0.0294311i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −39.5199 | + | 2.50961i | −1.56583 | + | 0.0994345i | ||||
\(638\) | − | 9.78874i | − | 0.387540i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 26.9663 | − | 21.5049i | 1.06594 | − | 0.850057i | ||||
\(641\) | 1.21207 | + | 2.51690i | 0.0478740 | + | 0.0994115i | 0.923534 | − | 0.383517i | \(-0.125287\pi\) |
−0.875660 | + | 0.482929i | \(0.839573\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.9597 | + | 11.1325i | 0.550518 | + | 0.439023i | 0.858829 | − | 0.512262i | \(-0.171192\pi\) |
−0.308311 | + | 0.951285i | \(0.599764\pi\) | |||||||
\(644\) | 21.7542 | − | 23.1795i | 0.857237 | − | 0.913400i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 12.2699 | − | 53.7579i | 0.482753 | − | 2.11508i | ||||
\(647\) | 9.51744 | − | 11.9345i | 0.374169 | − | 0.469193i | −0.558720 | − | 0.829356i | \(-0.688707\pi\) |
0.932889 | + | 0.360163i | \(0.117279\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.47936 | − | 3.07192i | 0.0580700 | − | 0.120584i | ||||
\(650\) | 21.6494 | + | 94.8524i | 0.849161 | + | 3.72042i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.17211 | − | 27.0418i | 0.241719 | − | 1.05904i | ||||
\(653\) | −11.1937 | − | 8.92667i | −0.438043 | − | 0.349328i | 0.379503 | − | 0.925190i | \(-0.376095\pi\) |
−0.817546 | + | 0.575863i | \(0.804666\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.0674 | −0.784096 | ||||||||
\(656\) | 7.75487 | 0.302777 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −44.2426 | + | 17.0740i | −1.72476 | + | 0.665615i | ||||
\(659\) | −11.8488 | − | 24.6043i | −0.461565 | − | 0.958449i | −0.993730 | − | 0.111808i | \(-0.964336\pi\) |
0.532165 | − | 0.846641i | \(-0.321379\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −25.1228 | − | 5.73412i | −0.977165 | − | 0.223032i | −0.296021 | − | 0.955181i | \(-0.595660\pi\) |
−0.681144 | + | 0.732150i | \(0.738517\pi\) | |||||||
\(662\) | −66.3831 | − | 15.1515i | −2.58005 | − | 0.588880i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.317609 | − | 0.659523i | −0.0123256 | − | 0.0255945i | ||||
\(665\) | 29.3256 | + | 43.5432i | 1.13720 | + | 1.68853i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.57491 | −0.332022 | ||||||||
\(668\) | 8.10505 | 0.313594 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −37.5397 | − | 29.9369i | −1.45029 | − | 1.15656i | ||||
\(671\) | 6.53703 | − | 28.6406i | 0.252359 | − | 1.10566i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.469412 | − | 2.05663i | −0.0180945 | − | 0.0792772i | 0.965075 | − | 0.261976i | \(-0.0843740\pi\) |
−0.983169 | + | 0.182698i | \(0.941517\pi\) | |||||||
\(674\) | −12.9153 | + | 26.8189i | −0.497479 | + | 1.03303i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 30.5978 | − | 38.3685i | 1.17684 | − | 1.47571i | ||||
\(677\) | 8.99912 | − | 39.4277i | 0.345864 | − | 1.51533i | −0.440605 | − | 0.897701i | \(-0.645236\pi\) |
0.786469 | − | 0.617630i | \(-0.211907\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17.7867 | + | 1.43477i | 0.682591 | + | 0.0550614i | ||||
\(680\) | −16.4976 | − | 13.1564i | −0.632655 | − | 0.504525i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −12.5948 | − | 26.1533i | −0.482278 | − | 1.00146i | ||||
\(683\) | 15.0885 | − | 12.0327i | 0.577344 | − | 0.460417i | −0.290762 | − | 0.956795i | \(-0.593909\pi\) |
0.868106 | + | 0.496379i | \(0.165337\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 46.6340i | 1.78179i | ||||||||
\(686\) | −0.676870 | + | 39.6405i | −0.0258430 | + | 1.51348i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.37325 | + | 23.5417i | 0.204853 | + | 0.897521i | ||||
\(689\) | −4.83249 | − | 6.05976i | −0.184103 | − | 0.230858i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.95908 | − | 7.94210i | 0.378861 | − | 0.302132i | −0.415481 | − | 0.909602i | \(-0.636387\pi\) |
0.794343 | + | 0.607470i | \(0.207815\pi\) | |||||||
\(692\) | −24.0390 | + | 30.1440i | −0.913827 | + | 1.14590i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.5124 | − | 24.4677i | −0.740679 | − | 0.928782i | ||||
\(695\) | −43.7593 | − | 9.98777i | −1.65988 | − | 0.378858i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.24085 | − | 14.1991i | −0.122756 | − | 0.537828i | ||||
\(698\) | 48.9308 | + | 23.5638i | 1.85206 | + | 0.891904i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 54.3274 | − | 7.87260i | 2.05338 | − | 0.297556i | ||||
\(701\) | 1.92525 | + | 0.439425i | 0.0727156 | + | 0.0165969i | 0.258724 | − | 0.965951i | \(-0.416698\pi\) |
−0.186008 | + | 0.982548i | \(0.559555\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.4488 | − | 46.6155i | 0.846674 | − | 1.75814i | ||||
\(704\) | − | 29.2356i | − | 1.10186i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 21.9924 | − | 45.6678i | 0.827696 | − | 1.71873i | ||||
\(707\) | −15.0579 | + | 10.1412i | −0.566309 | + | 0.381400i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.809818 | − | 0.389988i | 0.0304133 | − | 0.0146463i | −0.418615 | − | 0.908164i | \(-0.637484\pi\) |
0.449029 | + | 0.893517i | \(0.351770\pi\) | |||||||
\(710\) | 0.199931 | − | 0.875955i | 0.00750327 | − | 0.0328740i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 3.24177 | + | 6.73160i | 0.121490 | + | 0.252277i | ||||
\(713\) | −22.9102 | + | 11.0330i | −0.857994 | + | 0.413188i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 45.6515 | + | 21.9846i | 1.70727 | + | 0.822178i | ||||
\(716\) | 16.0977i | 0.601598i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 49.5866 | + | 23.8797i | 1.85056 | + | 0.891181i | ||||
\(719\) | −3.94929 | + | 4.95225i | −0.147284 | + | 0.184688i | −0.850001 | − | 0.526782i | \(-0.823399\pi\) |
0.702717 | + | 0.711469i | \(0.251970\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.14363 | + | 6.15253i | 0.154317 | + | 0.229132i | ||||
\(722\) | −23.3889 | + | 5.33837i | −0.870445 | + | 0.198673i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −35.5864 | + | 8.12235i | −1.32256 | + | 0.301865i | ||||
\(725\) | −11.5771 | − | 9.23241i | −0.429962 | − | 0.342883i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −38.3357 | + | 30.5717i | −1.42179 | + | 1.13384i | −0.451395 | + | 0.892324i | \(0.649073\pi\) |
−0.970397 | + | 0.241516i | \(0.922355\pi\) | |||||||
\(728\) | −13.6106 | − | 12.7737i | −0.504441 | − | 0.473423i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 10.4010 | + | 13.0424i | 0.384956 | + | 0.482720i | ||||
\(731\) | 40.8591 | − | 19.6767i | 1.51123 | − | 0.727770i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.0006 | + | 3.19555i | −0.517125 | + | 0.118030i | −0.473115 | − | 0.881001i | \(-0.656870\pi\) |
−0.0440098 | + | 0.999031i | \(0.514013\pi\) | |||||||
\(734\) | 21.8053 | 0.804849 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −36.4570 | −1.34382 | ||||||||
\(737\) | −15.0270 | + | 3.42982i | −0.553528 | + | 0.126339i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.5426 | + | 5.07703i | −0.387814 | + | 0.186762i | −0.617623 | − | 0.786474i | \(-0.711904\pi\) |
0.229809 | + | 0.973236i | \(0.426190\pi\) | |||||||
\(740\) | −54.7253 | − | 68.6234i | −2.01174 | − | 2.52265i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −6.43628 | + | 4.33473i | −0.236283 | + | 0.159133i | ||||
\(743\) | 8.35021 | − | 6.65907i | 0.306340 | − | 0.244298i | −0.458238 | − | 0.888830i | \(-0.651519\pi\) |
0.764577 | + | 0.644532i | \(0.222948\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −58.7581 | − | 46.8581i | −2.15273 | − | 1.71675i | ||||
\(746\) | −50.9196 | + | 11.6221i | −1.86430 | + | 0.425514i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −29.2755 | + | 6.68194i | −1.07042 | + | 0.244316i | ||||
\(749\) | 7.44311 | − | 23.6512i | 0.271965 | − | 0.864197i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.94786 | − | 3.69650i | 0.107569 | − | 0.134887i | −0.725133 | − | 0.688609i | \(-0.758222\pi\) |
0.832702 | + | 0.553722i | \(0.186793\pi\) | |||||||
\(752\) | 18.8254 | + | 9.06582i | 0.686491 | + | 0.330597i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 22.3204i | 0.812861i | ||||||||
\(755\) | 56.1588 | + | 27.0446i | 2.04383 | + | 0.984255i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 44.5744 | − | 21.4659i | 1.62008 | − | 0.780191i | 0.620093 | − | 0.784528i | \(-0.287095\pi\) |
0.999991 | + | 0.00433706i | \(0.00138053\pi\) | |||||||
\(758\) | −11.4563 | − | 23.7892i | −0.416111 | − | 0.864063i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.50642 | + | 24.1252i | −0.199739 | + | 0.875112i | ||||
\(761\) | 10.6689 | − | 5.13787i | 0.386747 | − | 0.186248i | −0.230399 | − | 0.973096i | \(-0.574003\pi\) |
0.617146 | + | 0.786849i | \(0.288289\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.1770 | − | 2.05439i | 0.513242 | − | 0.0743740i | ||||
\(764\) | 0.989138 | − | 2.05397i | 0.0357857 | − | 0.0743099i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 6.01916i | − | 0.217481i | ||||||
\(767\) | −3.37326 | + | 7.00464i | −0.121801 | + | 0.252923i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −26.2882 | − | 6.00010i | −0.947975 | − | 0.216369i | −0.279535 | − | 0.960135i | \(-0.590180\pi\) |
−0.668440 | + | 0.743766i | \(0.733038\pi\) | |||||||
\(770\) | 25.6142 | − | 43.7877i | 0.923073 | − | 1.57800i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.85079 | − | 2.81759i | −0.210575 | − | 0.101407i | ||||
\(773\) | −3.88268 | − | 17.0112i | −0.139650 | − | 0.611849i | −0.995511 | − | 0.0946425i | \(-0.969829\pi\) |
0.855861 | − | 0.517206i | \(-0.173028\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −42.8102 | − | 9.77116i | −1.53779 | − | 0.350990i | ||||
\(776\) | 5.24435 | + | 6.57620i | 0.188261 | + | 0.236072i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.15237 | + | 7.71483i | −0.220573 | + | 0.276590i | ||||
\(779\) | −13.3534 | + | 10.6489i | −0.478434 | + | 0.381538i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.179830 | − | 0.225499i | −0.00643481 | − | 0.00806900i | ||||
\(782\) | 10.3863 | + | 45.5055i | 0.371414 | + | 1.62727i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 12.9395 | − | 11.7349i | 0.462124 | − | 0.419102i | ||||
\(785\) | 0.828458i | 0.0295689i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 33.9371 | − | 27.0639i | 1.20973 | − | 0.964725i | 0.209812 | − | 0.977742i | \(-0.432715\pi\) |
0.999915 | + | 0.0130164i | \(0.00414335\pi\) | |||||||
\(788\) | 18.0416 | + | 37.4637i | 0.642705 | + | 1.33459i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 68.2850 | + | 54.4555i | 2.42947 | + | 1.93744i | ||||
\(791\) | 11.1700 | − | 35.4938i | 0.397160 | − | 1.26202i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −14.9058 | + | 65.3067i | −0.529321 | + | 2.31911i | ||||
\(794\) | 6.18292 | − | 7.75313i | 0.219423 | − | 0.275148i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −2.76010 | + | 5.73140i | −0.0978290 | + | 0.203144i | ||||
\(797\) | −7.70022 | − | 33.7369i | −0.272756 | − | 1.19502i | −0.906745 | − | 0.421679i | \(-0.861441\pi\) |
0.633989 | − | 0.773342i | \(-0.281416\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.73208 | − | 38.2578i | 0.308919 | − | 1.35346i | ||||
\(800\) | −49.2210 | − | 39.2525i | −1.74023 | − | 1.38778i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 25.4779 | 0.899657 | ||||||||
\(803\) | 5.35509 | 0.188977 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −38.3579 | − | 22.4380i | −1.35194 | − | 0.790835i | ||||
\(806\) | 28.7187 | + | 59.6350i | 1.01157 | + | 2.10055i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.34283 | − | 1.90420i | −0.293500 | − | 0.0669894i | ||||
\(809\) | 10.1621 | + | 2.31944i | 0.357281 | + | 0.0815471i | 0.397394 | − | 0.917648i | \(-0.369915\pi\) |
−0.0401130 | + | 0.999195i | \(0.512772\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.64622 | + | 3.41841i | 0.0578065 | + | 0.120036i | 0.927871 | − | 0.372902i | \(-0.121637\pi\) |
−0.870064 | + | 0.492938i | \(0.835923\pi\) | |||||||
\(812\) | 12.5531 | + | 1.01260i | 0.440526 | + | 0.0355352i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −49.9964 | −1.75237 | ||||||||
\(815\) | −38.7747 | −1.35822 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −41.5798 | − | 33.1588i | −1.45469 | − | 1.16008i | ||||
\(818\) | −0.0124533 | + | 0.0545616i | −0.000435420 | + | 0.00190770i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 6.44744 | + | 28.2481i | 0.225154 | + | 0.986465i | ||||
\(821\) | 12.3918 | − | 25.7317i | 0.432475 | − | 0.898044i | −0.564867 | − | 0.825182i | \(-0.691072\pi\) |
0.997342 | − | 0.0728619i | \(-0.0232132\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.8334 | + | 21.1084i | −0.586776 | + | 0.735794i | −0.983252 | − | 0.182251i | \(-0.941662\pi\) |
0.396476 | + | 0.918045i | \(0.370233\pi\) | |||||||
\(824\) | −0.778042 | + | 3.40882i | −0.0271044 | + | 0.118752i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.71866 | + | 3.93017i | 0.233772 | + | 0.136748i | ||||
\(827\) | −31.6716 | − | 25.2573i | −1.10133 | − | 0.878281i | −0.108064 | − | 0.994144i | \(-0.534465\pi\) |
−0.993265 | + | 0.115863i | \(0.963037\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.5911 | + | 38.6048i | 0.645696 | + | 1.34080i | 0.924768 | + | 0.380531i | \(0.124259\pi\) |
−0.279072 | + | 0.960270i | \(0.590027\pi\) | |||||||
\(830\) | −3.54666 | + | 2.82836i | −0.123106 | + | 0.0981739i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 66.6634i | 2.31114i | ||||||||
\(833\) | −26.8939 | − | 18.7879i | −0.931820 | − | 0.650963i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.52122 | − | 11.0462i | −0.0872506 | − | 0.382270i | ||||
\(836\) | 21.9559 | + | 27.5318i | 0.759360 | + | 0.952208i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 36.8778 | − | 29.4090i | 1.27392 | − | 1.01592i | ||||
\(839\) | −10.3305 | + | 12.9541i | −0.356649 | + | 0.447224i | −0.927496 | − | 0.373833i | \(-0.878043\pi\) |
0.570847 | + | 0.821056i | \(0.306615\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 15.9631 | + | 20.0171i | 0.550453 | + | 0.690246i | ||||
\(842\) | 39.7915 | + | 9.08215i | 1.37131 | + | 0.312992i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.2508 | + | 58.0554i | 0.456111 | + | 1.99835i | ||||
\(845\) | −61.8097 | − | 29.7660i | −2.12632 | − | 1.02398i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.61514 | + | 11.9589i | 0.158578 | + | 0.410912i | ||||
\(848\) | 3.33329 | + | 0.760801i | 0.114466 | + | 0.0261260i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −34.9720 | + | 72.6201i | −1.19953 | + | 2.49085i | ||||
\(851\) | 43.7967i | 1.50133i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.53422 | − | 15.6450i | 0.257967 | − | 0.535674i | −0.731254 | − | 0.682105i | \(-0.761065\pi\) |
0.989221 | + | 0.146432i | \(0.0467788\pi\) | |||||||
\(854\) | 63.9722 | + | 20.1322i | 2.18908 | + | 0.688911i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.5300 | − | 5.07098i | 0.359908 | − | 0.173323i | ||||
\(857\) | −2.92698 | + | 12.8239i | −0.0999836 | + | 0.438057i | 0.900014 | + | 0.435861i | \(0.143556\pi\) |
−0.999998 | + | 0.00219585i | \(0.999301\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.0195 | − | 31.1883i | −0.512459 | − | 1.06413i | −0.983313 | − | 0.181920i | \(-0.941769\pi\) |
0.470855 | − | 0.882211i | \(-0.343946\pi\) | |||||||
\(860\) | −81.2864 | + | 39.1455i | −2.77184 | + | 1.33485i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 31.5140 | + | 15.1763i | 1.07337 | + | 0.516908i | ||||
\(863\) | 19.3005i | 0.656997i | 0.944505 | + | 0.328498i | \(0.106543\pi\) | ||||
−0.944505 | + | 0.328498i | \(0.893457\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 48.5604 | + | 23.3855i | 1.65110 | + | 0.795130i | ||||
\(866\) | −8.39312 | + | 10.5246i | −0.285210 | + | 0.357642i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 34.8418 | − | 13.4461i | 1.18261 | − | 0.456389i | ||||
\(869\) | 27.3343 | − | 6.23887i | 0.927252 | − | 0.211639i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 34.2648 | − | 7.82072i | 1.16102 | − | 0.264995i | ||||
\(872\) | 5.27921 | + | 4.21003i | 0.178777 | + | 0.142570i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 42.7951 | − | 34.1280i | 1.44757 | − | 1.15440i | ||||
\(875\) | −10.4339 | − | 27.0365i | −0.352729 | − | 0.914000i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.48317 | − | 5.62172i | −0.151386 | − | 0.189832i | 0.700356 | − | 0.713794i | \(-0.253025\pi\) |
−0.851742 | + | 0.523962i | \(0.824453\pi\) | |||||||
\(878\) | −11.3993 | + | 5.48964i | −0.384709 | + | 0.185266i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −21.7910 | + | 4.97364i | −0.734573 | + | 0.167661i | ||||
\(881\) | −44.6956 | −1.50583 | −0.752916 | − | 0.658117i | \(-0.771353\pi\) | ||||
−0.752916 | + | 0.658117i | \(0.771353\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.25940 | −0.277951 | −0.138975 | − | 0.990296i | \(-0.544381\pi\) | ||||
−0.138975 | + | 0.990296i | \(0.544381\pi\) | |||||||
\(884\) | 66.7543 | − | 15.2362i | 2.24519 | − | 0.512450i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.94580 | + | 2.86335i | −0.199753 | + | 0.0961960i | ||||
\(887\) | −4.54928 | − | 5.70461i | −0.152750 | − | 0.191542i | 0.699569 | − | 0.714565i | \(-0.253376\pi\) |
−0.852318 | + | 0.523023i | \(0.824804\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.281485 | − | 0.481201i | 0.00944070 | − | 0.0161390i | ||||
\(890\) | 36.1999 | − | 28.8685i | 1.21342 | − | 0.967673i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −32.0006 | − | 25.5196i | −1.07146 | − | 0.854461i | ||||
\(893\) | −44.8652 | + | 10.2402i | −1.50136 | + | 0.342675i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 21.9392 | − | 5.00748i | 0.733347 | − | 0.167382i | ||||
\(896\) | 25.1948 | + | 2.03235i | 0.841699 | + | 0.0678959i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 48.2474 | − | 60.5003i | 1.61004 | − | 2.01892i | ||||
\(899\) | −9.07635 | − | 4.37094i | −0.302713 | − | 0.145779i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 6.42116i | − | 0.213920i | ||||||
\(902\) | 14.8698 | + | 7.16092i | 0.495111 | + | 0.238433i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 15.8026 | − | 7.61011i | 0.525585 | − | 0.253109i | ||||
\(905\) | 22.1396 | + | 45.9733i | 0.735945 | + | 1.52821i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 8.61261 | − | 37.7343i | 0.285977 | − | 1.25295i | −0.604015 | − | 0.796973i | \(-0.706433\pi\) |
0.889993 | − | 0.455975i | \(-0.150709\pi\) | |||||||
\(908\) | −47.4470 | + | 22.8493i | −1.57459 | + | 0.758280i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −58.4059 | + | 99.8453i | −1.93614 | + | 3.30984i | ||||
\(911\) | 16.1611 | − | 33.5589i | 0.535442 | − | 1.11186i | −0.441284 | − | 0.897367i | \(-0.645477\pi\) |
0.976726 | − | 0.214490i | \(-0.0688088\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.45623i | 0.0481941i | ||||||||
\(914\) | −16.8737 | + | 35.0385i | −0.558131 | + | 1.15897i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 58.7496 | + | 13.4092i | 1.94114 | + | 0.443053i | ||||
\(917\) | −10.7233 | − | 10.0640i | −0.354115 | − | 0.332341i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.90009 | + | 1.39661i | 0.0956651 | + | 0.0460699i | 0.481104 | − | 0.876663i | \(-0.340236\pi\) |
−0.385439 | + | 0.922733i | \(0.625950\pi\) | |||||||
\(920\) | −4.66112 | − | 20.4217i | −0.153673 | − | 0.673283i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −47.5426 | − | 10.8513i | −1.56573 | − | 0.357368i | ||||
\(923\) | 0.410050 | + | 0.514186i | 0.0134970 | + | 0.0169246i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −47.1549 | + | 59.1304i | −1.55044 | + | 1.94420i | ||||
\(926\) | −66.0030 | + | 52.6356i | −2.16899 | + | 1.72971i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.00520 | − | 11.2922i | −0.295610 | − | 0.370683i | ||||
\(929\) | 3.46567 | + | 15.1841i | 0.113705 | + | 0.498173i | 0.999424 | + | 0.0339509i | \(0.0108090\pi\) |
−0.885719 | + | 0.464222i | \(0.846334\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.16667 | + | 37.9751i | −0.202104 | + | 1.24458i | ||||
\(932\) | 59.0677i | 1.93483i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −25.0370 | + | 19.9663i | −0.819234 | + | 0.653318i | ||||
\(935\) | 18.2134 | + | 37.8204i | 0.595641 | + | 1.23686i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.38495 | + | 2.69941i | 0.110582 | + | 0.0881859i | 0.677220 | − | 0.735781i | \(-0.263185\pi\) |
−0.566638 | + | 0.823967i | \(0.691756\pi\) | |||||||
\(938\) | −5.04632 | − | 34.8238i | −0.164768 | − | 1.13704i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −17.3719 | + | 76.1111i | −0.566608 | + | 2.48247i | ||||
\(941\) | −19.0408 | + | 23.8764i | −0.620712 | + | 0.778348i | −0.988444 | − | 0.151583i | \(-0.951563\pi\) |
0.367732 | + | 0.929932i | \(0.380134\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.27295 | − | 13.0259i | 0.204275 | − | 0.424182i | ||||
\(944\) | −0.763141 | − | 3.34354i | −0.0248381 | − | 0.108823i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.4356 | + | 50.1026i | −0.371803 | + | 1.62898i | ||||
\(947\) | 19.2341 | + | 15.3387i | 0.625025 | + | 0.498441i | 0.884027 | − | 0.467436i | \(-0.154822\pi\) |
−0.259002 | + | 0.965877i | \(0.583394\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.2107 | −0.396377 | ||||||||
\(950\) | 94.5229 | 3.06673 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.21771 | − | 15.3040i | −0.0718765 | − | 0.496007i | ||||
\(953\) | 13.7853 | + | 28.6255i | 0.446550 | + | 0.927271i | 0.995795 | + | 0.0916093i | \(0.0292011\pi\) |
−0.549245 | + | 0.835661i | \(0.685085\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.10700 | − | 0.709152i | −0.100540 | − | 0.0229476i | ||||
\(956\) | −63.4563 | − | 14.4835i | −2.05232 | − | 0.468429i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 24.7882 | + | 51.4733i | 0.800871 | + | 1.66303i | ||||
\(959\) | −23.3874 | + | 24.9196i | −0.755217 | + | 0.804696i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.12617 | 0.0363282 | ||||||||
\(962\) | 114.002 | 3.67558 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −41.6285 | − | 33.1976i | −1.34076 | − | 1.06922i | ||||
\(965\) | −2.02004 | + | 8.85039i | −0.0650275 | + | 0.284904i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.02816 | − | 17.6485i | −0.129537 | − | 0.567538i | −0.997485 | − | 0.0708827i | \(-0.977418\pi\) |
0.867948 | − | 0.496655i | \(-0.165439\pi\) | |||||||
\(968\) | −2.62162 | + | 5.44384i | −0.0842620 | + | 0.174972i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 32.4995 | − | 40.7531i | 1.04350 | − | 1.30850i | ||||
\(971\) | 7.29986 | − | 31.9828i | 0.234264 | − | 1.02638i | −0.711797 | − | 0.702386i | \(-0.752118\pi\) |
0.946060 | − | 0.323991i | \(-0.105025\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.3745 | − | 27.2828i | −0.589060 | − | 0.874646i | ||||
\(974\) | −30.0020 | − | 23.9258i | −0.961327 | − | 0.766633i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −12.8208 | − | 26.6228i | −0.410385 | − | 0.852174i | ||||
\(977\) | 41.0200 | − | 32.7124i | 1.31235 | − | 1.04656i | 0.317180 | − | 0.948365i | \(-0.397264\pi\) |
0.995167 | − | 0.0981960i | \(-0.0313072\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 14.8634i | − | 0.475036i | ||||||
\(980\) | 53.5036 | + | 37.3773i | 1.70911 | + | 1.19397i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.8551 | + | 56.3217i | 0.410221 | + | 1.79730i | ||||
\(983\) | 1.40419 | + | 1.76080i | 0.0447868 | + | 0.0561609i | 0.803720 | − | 0.595007i | \(-0.202851\pi\) |
−0.758934 | + | 0.651168i | \(0.774279\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 45.4464 | − | 36.2423i | 1.44804 | − | 1.15478i | ||||
\(986\) | −11.5293 | + | 14.4573i | −0.367168 | + | 0.460414i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −50.0641 | − | 62.7784i | −1.59275 | − | 1.99725i | ||||
\(989\) | 43.8897 | + | 10.0175i | 1.39561 | + | 0.318539i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.272429 | − | 1.19359i | −0.00865398 | − | 0.0379156i | 0.970417 | − | 0.241437i | \(-0.0776186\pi\) |
−0.979071 | + | 0.203521i | \(0.934761\pi\) | |||||||
\(992\) | −38.5889 | − | 18.5835i | −1.22520 | − | 0.590025i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.546135 | − | 0.367813i | 0.0173224 | − | 0.0116663i | ||||
\(995\) | 8.66979 | + | 1.97882i | 0.274851 | + | 0.0627329i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −0.829695 | + | 1.72288i | −0.0262767 | + | 0.0545642i | −0.913694 | − | 0.406403i | \(-0.866783\pi\) |
0.887417 | + | 0.460967i | \(0.152497\pi\) | |||||||
\(998\) | − | 4.75163i | − | 0.150410i | ||||||
\(999\) | 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 | 441.2.w.a.62.17 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.62.4 | ✓ | 120 | |
49.34 | odd | 14 | inner | 441.2.w.a.377.4 | yes | 120 | |
147.83 | even | 14 | inner | 441.2.w.a.377.17 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.62.4 | ✓ | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.62.17 | yes | 120 | 1.1 | even | 1 | trivial | |
441.2.w.a.377.4 | yes | 120 | 49.34 | odd | 14 | inner | |
441.2.w.a.377.17 | yes | 120 | 147.83 | even | 14 | inner |