Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 24x^{10} + 264x^{8} - 1511x^{6} + 4812x^{4} - 7788x^{2} + 5329 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 251.1 | ||
Root | \(-1.34865 + 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.251 |
Dual form | 950.2.l.g.651.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −0.397366 | − | 2.25357i | −0.229419 | − | 1.30110i | −0.854054 | − | 0.520184i | \(-0.825863\pi\) |
0.624635 | − | 0.780917i | \(-0.285248\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.397366 | − | 2.25357i | 0.162224 | − | 0.920017i | ||||
\(7\) | 1.38429 | − | 2.39766i | 0.523212 | − | 0.906230i | −0.476423 | − | 0.879216i | \(-0.658067\pi\) |
0.999635 | − | 0.0270141i | \(-0.00859990\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −2.10161 | + | 0.764925i | −0.700538 | + | 0.254975i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.21064 | − | 2.09689i | −0.365022 | − | 0.632237i | 0.623758 | − | 0.781618i | \(-0.285605\pi\) |
−0.988780 | + | 0.149381i | \(0.952272\pi\) | |||||||
\(12\) | 1.14417 | − | 1.98176i | 0.330293 | − | 0.572085i | ||||
\(13\) | 0.300428 | − | 1.70381i | 0.0833238 | − | 0.472553i | −0.914382 | − | 0.404853i | \(-0.867323\pi\) |
0.997706 | − | 0.0677001i | \(-0.0215661\pi\) | |||||||
\(14\) | 2.12086 | − | 1.77961i | 0.566822 | − | 0.475620i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 3.79213 | + | 1.38022i | 0.919728 | + | 0.334753i | 0.758130 | − | 0.652103i | \(-0.226113\pi\) |
0.161597 | + | 0.986857i | \(0.448335\pi\) | |||||||
\(18\) | −2.23649 | −0.527146 | ||||||||
\(19\) | 0.0664727 | + | 4.35839i | 0.0152499 | + | 0.999884i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −5.95337 | − | 2.16685i | −1.29913 | − | 0.472846i | ||||
\(22\) | −0.420451 | − | 2.38450i | −0.0896406 | − | 0.508377i | ||||
\(23\) | −6.84561 | − | 5.74414i | −1.42741 | − | 1.19774i | −0.947225 | − | 0.320568i | \(-0.896126\pi\) |
−0.480182 | − | 0.877169i | \(-0.659429\pi\) | |||||||
\(24\) | 1.75297 | − | 1.47092i | 0.357823 | − | 0.300249i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.865049 | − | 1.49831i | 0.169650 | − | 0.293842i | ||||
\(27\) | −0.873583 | − | 1.51309i | −0.168121 | − | 0.291194i | ||||
\(28\) | 2.60161 | − | 0.946910i | 0.491659 | − | 0.178949i | ||||
\(29\) | 4.18479 | − | 1.52314i | 0.777096 | − | 0.282840i | 0.0771351 | − | 0.997021i | \(-0.475423\pi\) |
0.699961 | + | 0.714181i | \(0.253201\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.953372 | − | 1.65129i | 0.171231 | − | 0.296580i | −0.767620 | − | 0.640906i | \(-0.778559\pi\) |
0.938850 | + | 0.344325i | \(0.111892\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | −4.24443 | + | 3.56150i | −0.738861 | + | 0.619978i | ||||
\(34\) | 3.09138 | + | 2.59397i | 0.530167 | + | 0.444863i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.10161 | − | 0.764925i | −0.350269 | − | 0.127487i | ||||
\(37\) | −2.89348 | −0.475685 | −0.237842 | − | 0.971304i | \(-0.576440\pi\) | ||||
−0.237842 | + | 0.971304i | \(0.576440\pi\) | |||||||
\(38\) | −1.42819 | + | 4.11828i | −0.231684 | + | 0.668074i | ||||
\(39\) | −3.95905 | −0.633955 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.808735 | − | 4.58656i | −0.126303 | − | 0.716301i | −0.980525 | − | 0.196393i | \(-0.937077\pi\) |
0.854222 | − | 0.519908i | \(-0.174034\pi\) | |||||||
\(42\) | −4.85323 | − | 4.07235i | −0.748870 | − | 0.628377i | ||||
\(43\) | 2.28003 | − | 1.91317i | 0.347702 | − | 0.291756i | −0.452165 | − | 0.891934i | \(-0.649348\pi\) |
0.799866 | + | 0.600178i | \(0.204904\pi\) | |||||||
\(44\) | 0.420451 | − | 2.38450i | 0.0633854 | − | 0.359477i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.46815 | − | 7.73907i | −0.658793 | − | 1.14106i | ||||
\(47\) | −9.33064 | + | 3.39608i | −1.36101 | + | 0.495369i | −0.916368 | − | 0.400338i | \(-0.868893\pi\) |
−0.444646 | + | 0.895706i | \(0.646671\pi\) | |||||||
\(48\) | 2.15033 | − | 0.782658i | 0.310374 | − | 0.112967i | ||||
\(49\) | −0.332517 | − | 0.575937i | −0.0475025 | − | 0.0822767i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.60357 | − | 9.09430i | 0.224545 | − | 1.27346i | ||||
\(52\) | 1.32533 | − | 1.11209i | 0.183790 | − | 0.154218i | ||||
\(53\) | 8.56514 | + | 7.18700i | 1.17651 | + | 0.987211i | 0.999996 | + | 0.00291297i | \(0.000927229\pi\) |
0.176516 | + | 0.984298i | \(0.443517\pi\) | |||||||
\(54\) | −0.303392 | − | 1.72062i | −0.0412865 | − | 0.234147i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.76858 | 0.369967 | ||||||||
\(57\) | 9.79554 | − | 1.88168i | 1.29745 | − | 0.249234i | ||||
\(58\) | 4.45336 | 0.584755 | ||||||||
\(59\) | −1.89474 | − | 0.689630i | −0.246674 | − | 0.0897821i | 0.215724 | − | 0.976454i | \(-0.430789\pi\) |
−0.462399 | + | 0.886672i | \(0.653011\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.66844 | + | 5.59549i | 0.853806 | + | 0.716429i | 0.960624 | − | 0.277850i | \(-0.0896218\pi\) |
−0.106818 | + | 0.994279i | \(0.534066\pi\) | |||||||
\(62\) | 1.46065 | − | 1.22563i | 0.185503 | − | 0.155655i | ||||
\(63\) | −1.07521 | + | 6.09783i | −0.135464 | + | 0.768255i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −5.20657 | + | 1.89504i | −0.640884 | + | 0.233263i | ||||
\(67\) | −12.6795 | + | 4.61495i | −1.54904 | + | 0.563805i | −0.968193 | − | 0.250205i | \(-0.919502\pi\) |
−0.580850 | + | 0.814011i | \(0.697280\pi\) | |||||||
\(68\) | 2.01775 | + | 3.49485i | 0.244688 | + | 0.423813i | ||||
\(69\) | −10.2246 | + | 17.7096i | −1.23090 | + | 2.13199i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 10.2246 | − | 8.57949i | 1.21344 | − | 1.01820i | 0.214300 | − | 0.976768i | \(-0.431253\pi\) |
0.999141 | − | 0.0414306i | \(-0.0131916\pi\) | |||||||
\(72\) | −1.71325 | − | 1.43759i | −0.201909 | − | 0.169421i | ||||
\(73\) | −0.991298 | − | 5.62193i | −0.116023 | − | 0.657997i | −0.986239 | − | 0.165327i | \(-0.947132\pi\) |
0.870216 | − | 0.492670i | \(-0.163979\pi\) | |||||||
\(74\) | −2.71898 | − | 0.989627i | −0.316075 | − | 0.115042i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.75060 | + | 3.38145i | −0.315515 | + | 0.387879i | ||||
\(77\) | −6.70352 | −0.763937 | ||||||||
\(78\) | −3.72029 | − | 1.35407i | −0.421240 | − | 0.153319i | ||||
\(79\) | 1.16772 | + | 6.62249i | 0.131379 | + | 0.745088i | 0.977313 | + | 0.211800i | \(0.0679326\pi\) |
−0.845934 | + | 0.533288i | \(0.820956\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.20248 | + | 6.88270i | −0.911387 | + | 0.764744i | ||||
\(82\) | 0.808735 | − | 4.58656i | 0.0893098 | − | 0.506501i | ||||
\(83\) | 8.47670 | − | 14.6821i | 0.930439 | − | 1.61157i | 0.147866 | − | 0.989007i | \(-0.452760\pi\) |
0.782573 | − | 0.622559i | \(-0.213907\pi\) | |||||||
\(84\) | −3.16772 | − | 5.48666i | −0.345627 | − | 0.598643i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.79687 | − | 1.01798i | 0.301595 | − | 0.109771i | ||||
\(87\) | −5.09540 | − | 8.82549i | −0.546284 | − | 0.946192i | ||||
\(88\) | 1.21064 | − | 2.09689i | 0.129055 | − | 0.223530i | ||||
\(89\) | 0.964193 | − | 5.46821i | 0.102204 | − | 0.579629i | −0.890096 | − | 0.455773i | \(-0.849363\pi\) |
0.992300 | − | 0.123856i | \(-0.0395260\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.66929 | − | 3.07890i | −0.384646 | − | 0.322756i | ||||
\(92\) | −1.55177 | − | 8.80054i | −0.161783 | − | 0.917520i | ||||
\(93\) | −4.10014 | − | 1.49233i | −0.425165 | − | 0.154747i | ||||
\(94\) | −9.92946 | −1.02415 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.28834 | 0.233553 | ||||||||
\(97\) | 7.22610 | + | 2.63009i | 0.733699 | + | 0.267045i | 0.681730 | − | 0.731604i | \(-0.261228\pi\) |
0.0519694 | + | 0.998649i | \(0.483450\pi\) | |||||||
\(98\) | −0.115482 | − | 0.654931i | −0.0116654 | − | 0.0661580i | ||||
\(99\) | 4.14827 | + | 3.48081i | 0.416917 | + | 0.349835i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.82471 | + | 10.3484i | −0.181565 | + | 1.02971i | 0.748724 | + | 0.662882i | \(0.230667\pi\) |
−0.930289 | + | 0.366826i | \(0.880444\pi\) | |||||||
\(102\) | 4.61730 | − | 7.99740i | 0.457181 | − | 0.791860i | ||||
\(103\) | 5.15539 | + | 8.92940i | 0.507976 | + | 0.879840i | 0.999957 | + | 0.00923425i | \(0.00293940\pi\) |
−0.491982 | + | 0.870606i | \(0.663727\pi\) | |||||||
\(104\) | 1.62576 | − | 0.591728i | 0.159419 | − | 0.0580237i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.59050 | + | 9.68302i | 0.542997 | + | 0.940498i | ||||
\(107\) | 3.51686 | − | 6.09138i | 0.339987 | − | 0.588876i | −0.644442 | − | 0.764653i | \(-0.722910\pi\) |
0.984430 | + | 0.175777i | \(0.0562438\pi\) | |||||||
\(108\) | 0.303392 | − | 1.72062i | 0.0291939 | − | 0.165567i | ||||
\(109\) | 4.78492 | − | 4.01503i | 0.458312 | − | 0.384570i | −0.384197 | − | 0.923251i | \(-0.625522\pi\) |
0.842510 | + | 0.538681i | \(0.181077\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.14977 | + | 6.52066i | 0.109131 | + | 0.618914i | ||||
\(112\) | 2.60161 | + | 0.946910i | 0.245829 | + | 0.0894746i | ||||
\(113\) | 7.50521 | 0.706031 | 0.353015 | − | 0.935618i | \(-0.385156\pi\) | ||||
0.353015 | + | 0.935618i | \(0.385156\pi\) | |||||||
\(114\) | 9.84837 | + | 1.58207i | 0.922384 | + | 0.148175i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.18479 | + | 1.52314i | 0.388548 | + | 0.141420i | ||||
\(117\) | 0.671905 | + | 3.81056i | 0.0621177 | + | 0.352287i | ||||
\(118\) | −1.54461 | − | 1.29608i | −0.142193 | − | 0.119314i | ||||
\(119\) | 8.55872 | − | 7.18162i | 0.784577 | − | 0.658338i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.56869 | − | 4.44911i | 0.233518 | − | 0.404464i | ||||
\(122\) | 4.35252 | + | 7.53878i | 0.394058 | + | 0.682529i | ||||
\(123\) | −10.0148 | + | 3.64509i | −0.903003 | + | 0.328666i | ||||
\(124\) | 1.79175 | − | 0.652145i | 0.160904 | − | 0.0585644i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −3.09595 | + | 5.36235i | −0.275809 | + | 0.477716i | ||||
\(127\) | −2.25870 | + | 12.8097i | −0.200427 | + | 1.13668i | 0.704049 | + | 0.710152i | \(0.251374\pi\) |
−0.904476 | + | 0.426526i | \(0.859737\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | −5.21748 | − | 4.37799i | −0.459374 | − | 0.385460i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.41978 | − | 1.60867i | −0.386158 | − | 0.140550i | 0.141643 | − | 0.989918i | \(-0.454761\pi\) |
−0.527802 | + | 0.849368i | \(0.676984\pi\) | |||||||
\(132\) | −5.54072 | −0.482257 | ||||||||
\(133\) | 10.5420 | + | 5.87390i | 0.914104 | + | 0.509332i | ||||
\(134\) | −13.4932 | −1.16564 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.700758 | + | 3.97420i | 0.0600895 | + | 0.340785i | ||||
\(137\) | 16.8787 | + | 14.1629i | 1.44204 | + | 1.21002i | 0.938139 | + | 0.346258i | \(0.112548\pi\) |
0.503903 | + | 0.863760i | \(0.331897\pi\) | |||||||
\(138\) | −15.6651 | + | 13.1445i | −1.33350 | + | 1.11894i | ||||
\(139\) | −2.26902 | + | 12.8682i | −0.192456 | + | 1.09147i | 0.723540 | + | 0.690282i | \(0.242514\pi\) |
−0.915996 | + | 0.401188i | \(0.868597\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.3610 | + | 19.6778i | 0.956767 | + | 1.65717i | ||||
\(142\) | 12.5424 | − | 4.56505i | 1.05253 | − | 0.383091i | ||||
\(143\) | −3.93643 | + | 1.43274i | −0.329180 | + | 0.119812i | ||||
\(144\) | −1.11825 | − | 1.93686i | −0.0931871 | − | 0.161405i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.991298 | − | 5.62193i | 0.0820404 | − | 0.465274i | ||||
\(147\) | −1.16578 | + | 0.978209i | −0.0961523 | + | 0.0806813i | ||||
\(148\) | −2.21653 | − | 1.85989i | −0.182198 | − | 0.152882i | ||||
\(149\) | 0.359724 | + | 2.04010i | 0.0294697 | + | 0.167131i | 0.995991 | − | 0.0894563i | \(-0.0285129\pi\) |
−0.966521 | + | 0.256587i | \(0.917402\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.55532 | −0.289328 | −0.144664 | − | 0.989481i | \(-0.546210\pi\) | ||||
−0.144664 | + | 0.989481i | \(0.546210\pi\) | |||||||
\(152\) | −3.74124 | + | 2.23676i | −0.303455 | + | 0.181425i | ||||
\(153\) | −9.02537 | −0.729658 | ||||||||
\(154\) | −6.29925 | − | 2.29274i | −0.507608 | − | 0.184754i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −3.03281 | − | 2.54483i | −0.242819 | − | 0.203749i | ||||
\(157\) | −7.05585 | + | 5.92056i | −0.563118 | + | 0.472512i | −0.879354 | − | 0.476168i | \(-0.842025\pi\) |
0.316236 | + | 0.948681i | \(0.397581\pi\) | |||||||
\(158\) | −1.16772 | + | 6.62249i | −0.0928991 | + | 0.526857i | ||||
\(159\) | 12.7929 | − | 22.1580i | 1.01455 | − | 1.75725i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −23.2488 | + | 8.46188i | −1.83226 | + | 0.666889i | ||||
\(162\) | −10.0618 | + | 3.66221i | −0.790532 | + | 0.287730i | ||||
\(163\) | 10.1545 | + | 17.5880i | 0.795359 | + | 1.37760i | 0.922611 | + | 0.385731i | \(0.126051\pi\) |
−0.127253 | + | 0.991870i | \(0.540616\pi\) | |||||||
\(164\) | 2.32866 | − | 4.03336i | 0.181838 | − | 0.314952i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.9871 | − | 10.8974i | 1.00799 | − | 0.845805i | ||||
\(167\) | 8.34647 | + | 7.00352i | 0.645869 | + | 0.541949i | 0.905814 | − | 0.423675i | \(-0.139260\pi\) |
−0.259945 | + | 0.965623i | \(0.583704\pi\) | |||||||
\(168\) | −1.10014 | − | 6.23920i | −0.0848775 | − | 0.481364i | ||||
\(169\) | 9.40328 | + | 3.42251i | 0.723329 | + | 0.263270i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.47354 | − | 9.10881i | −0.265628 | − | 0.696568i | ||||
\(172\) | 2.97637 | 0.226946 | ||||||||
\(173\) | −15.7089 | − | 5.71759i | −1.19433 | − | 0.434700i | −0.333087 | − | 0.942896i | \(-0.608090\pi\) |
−0.861242 | + | 0.508196i | \(0.830313\pi\) | |||||||
\(174\) | −1.76961 | − | 10.0360i | −0.134154 | − | 0.760826i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.85481 | − | 1.55637i | 0.139812 | − | 0.117316i | ||||
\(177\) | −0.801225 | + | 4.54397i | −0.0602238 | + | 0.341546i | ||||
\(178\) | 2.77628 | − | 4.80866i | 0.208091 | − | 0.360424i | ||||
\(179\) | 12.7705 | + | 22.1191i | 0.954510 | + | 1.65326i | 0.735486 | + | 0.677540i | \(0.236954\pi\) |
0.219024 | + | 0.975719i | \(0.429713\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.96483 | + | 0.715139i | −0.146044 | + | 0.0531558i | −0.414008 | − | 0.910273i | \(-0.635872\pi\) |
0.267964 | + | 0.963429i | \(0.413649\pi\) | |||||||
\(182\) | −2.39496 | − | 4.14819i | −0.177526 | − | 0.307484i | ||||
\(183\) | 9.96003 | − | 17.2513i | 0.736266 | − | 1.27525i | ||||
\(184\) | 1.55177 | − | 8.80054i | 0.114398 | − | 0.648784i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −3.34246 | − | 2.80466i | −0.245081 | − | 0.205648i | ||||
\(187\) | −1.69673 | − | 9.62266i | −0.124077 | − | 0.703678i | ||||
\(188\) | −9.33064 | − | 3.39608i | −0.680507 | − | 0.247684i | ||||
\(189\) | −4.83717 | −0.351852 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.9071 | 0.933924 | 0.466962 | − | 0.884278i | \(-0.345349\pi\) | ||||
0.466962 | + | 0.884278i | \(0.345349\pi\) | |||||||
\(192\) | 2.15033 | + | 0.782658i | 0.155187 | + | 0.0564835i | ||||
\(193\) | 3.73231 | + | 21.1670i | 0.268657 | + | 1.52363i | 0.758415 | + | 0.651772i | \(0.225974\pi\) |
−0.489757 | + | 0.871859i | \(0.662915\pi\) | |||||||
\(194\) | 5.89077 | + | 4.94294i | 0.422933 | + | 0.354883i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.115482 | − | 0.654931i | 0.00824871 | − | 0.0467808i | ||||
\(197\) | −5.67287 | + | 9.82570i | −0.404175 | + | 0.700052i | −0.994225 | − | 0.107315i | \(-0.965775\pi\) |
0.590050 | + | 0.807367i | \(0.299108\pi\) | |||||||
\(198\) | 2.70759 | + | 4.68968i | 0.192420 | + | 0.333281i | ||||
\(199\) | 12.7763 | − | 4.65019i | 0.905688 | − | 0.329643i | 0.153158 | − | 0.988202i | \(-0.451056\pi\) |
0.752530 | + | 0.658558i | \(0.228833\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 15.4385 | + | 26.7403i | 1.08895 | + | 1.88611i | ||||
\(202\) | −5.25404 | + | 9.10027i | −0.369673 | + | 0.640292i | ||||
\(203\) | 2.14099 | − | 12.1422i | 0.150268 | − | 0.852214i | ||||
\(204\) | 7.07411 | − | 5.93589i | 0.495287 | − | 0.415595i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.79045 | + | 10.1541i | 0.124746 | + | 0.707472i | ||||
\(207\) | 18.7807 | + | 6.83560i | 1.30535 | + | 0.475107i | ||||
\(208\) | 1.73010 | 0.119961 | ||||||||
\(209\) | 9.05861 | − | 5.41584i | 0.626597 | − | 0.374621i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.18459 | − | 1.52307i | −0.288079 | − | 0.104852i | 0.193939 | − | 0.981014i | \(-0.437874\pi\) |
−0.482018 | + | 0.876161i | \(0.660096\pi\) | |||||||
\(212\) | 1.94156 | + | 11.0111i | 0.133347 | + | 0.756247i | ||||
\(213\) | −23.3974 | − | 19.6328i | −1.60317 | − | 1.34522i | ||||
\(214\) | 5.38814 | − | 4.52119i | 0.368326 | − | 0.309062i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0.873583 | − | 1.51309i | 0.0594398 | − | 0.102953i | ||||
\(217\) | −2.63949 | − | 4.57173i | −0.179180 | − | 0.310349i | ||||
\(218\) | 5.86958 | − | 2.13635i | 0.397538 | − | 0.144692i | ||||
\(219\) | −12.2755 | + | 4.46792i | −0.829503 | + | 0.301914i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.49091 | − | 6.04643i | 0.234824 | − | 0.406727i | ||||
\(222\) | −1.14977 | + | 6.52066i | −0.0771674 | + | 0.437638i | ||||
\(223\) | 15.1924 | − | 12.7480i | 1.01736 | − | 0.853667i | 0.0280676 | − | 0.999606i | \(-0.491065\pi\) |
0.989294 | + | 0.145939i | \(0.0466202\pi\) | |||||||
\(224\) | 2.12086 | + | 1.77961i | 0.141706 | + | 0.118905i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.05259 | + | 2.56693i | 0.469131 | + | 0.170750i | ||||
\(227\) | 12.8345 | 0.851857 | 0.425928 | − | 0.904757i | \(-0.359948\pi\) | ||||
0.425928 | + | 0.904757i | \(0.359948\pi\) | |||||||
\(228\) | 8.71334 | + | 4.85500i | 0.577055 | + | 0.321531i | ||||
\(229\) | −11.4892 | −0.759230 | −0.379615 | − | 0.925145i | \(-0.623944\pi\) | ||||
−0.379615 | + | 0.925145i | \(0.623944\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.66375 | + | 15.1069i | 0.175262 | + | 0.993959i | ||||
\(232\) | 3.41147 | + | 2.86257i | 0.223974 | + | 0.187937i | ||||
\(233\) | 2.09048 | − | 1.75412i | 0.136952 | − | 0.114916i | −0.571738 | − | 0.820436i | \(-0.693731\pi\) |
0.708690 | + | 0.705520i | \(0.249286\pi\) | |||||||
\(234\) | −0.671905 | + | 3.81056i | −0.0439238 | + | 0.249104i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.00817 | − | 1.74620i | −0.0656264 | − | 0.113668i | ||||
\(237\) | 14.4602 | − | 5.26310i | 0.939294 | − | 0.341875i | ||||
\(238\) | 10.4988 | − | 3.82126i | 0.680538 | − | 0.247696i | ||||
\(239\) | −12.5128 | − | 21.6728i | −0.809386 | − | 1.40190i | −0.913290 | − | 0.407310i | \(-0.866467\pi\) |
0.103904 | − | 0.994587i | \(-0.466867\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.37954 | − | 24.8376i | 0.282111 | − | 1.59993i | −0.433316 | − | 0.901242i | \(-0.642656\pi\) |
0.715426 | − | 0.698688i | \(-0.246232\pi\) | |||||||
\(242\) | 3.93547 | − | 3.30225i | 0.252981 | − | 0.212277i | ||||
\(243\) | 14.7548 | + | 12.3808i | 0.946523 | + | 0.794227i | ||||
\(244\) | 1.51161 | + | 8.57278i | 0.0967711 | + | 0.548816i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −10.6575 | −0.679499 | ||||||||
\(247\) | 7.44586 | + | 1.19613i | 0.473769 | + | 0.0761077i | ||||
\(248\) | 1.90674 | 0.121078 | ||||||||
\(249\) | −36.4555 | − | 13.2687i | −2.31027 | − | 0.840870i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.55784 | − | 2.14629i | −0.161450 | − | 0.135472i | 0.558484 | − | 0.829515i | \(-0.311383\pi\) |
−0.719933 | + | 0.694043i | \(0.755828\pi\) | |||||||
\(252\) | −4.74327 | + | 3.98008i | −0.298798 | + | 0.250721i | ||||
\(253\) | −3.75728 | + | 21.3086i | −0.236218 | + | 1.33966i | ||||
\(254\) | −6.50366 | + | 11.2647i | −0.408076 | + | 0.706808i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −8.91294 | + | 3.24404i | −0.555974 | + | 0.202358i | −0.604699 | − | 0.796454i | \(-0.706706\pi\) |
0.0487248 | + | 0.998812i | \(0.484484\pi\) | |||||||
\(258\) | −3.40547 | − | 5.89845i | −0.212015 | − | 0.367221i | ||||
\(259\) | −4.00541 | + | 6.93758i | −0.248884 | + | 0.431080i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.62973 | + | 6.40210i | −0.472268 | + | 0.396280i | ||||
\(262\) | −3.60304 | − | 3.02331i | −0.222597 | − | 0.186781i | ||||
\(263\) | −4.91064 | − | 27.8496i | −0.302803 | − | 1.71728i | −0.633671 | − | 0.773603i | \(-0.718453\pi\) |
0.330868 | − | 0.943677i | \(-0.392659\pi\) | |||||||
\(264\) | −5.20657 | − | 1.89504i | −0.320442 | − | 0.116631i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 7.89721 | + | 9.12522i | 0.484209 | + | 0.559503i | ||||
\(267\) | −12.7061 | −0.777603 | ||||||||
\(268\) | −12.6795 | − | 4.61495i | −0.774521 | − | 0.281903i | ||||
\(269\) | −0.907359 | − | 5.14589i | −0.0553227 | − | 0.313750i | 0.944571 | − | 0.328306i | \(-0.106478\pi\) |
−0.999894 | + | 0.0145556i | \(0.995367\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.277215 | − | 0.232611i | 0.0168396 | − | 0.0141301i | −0.634329 | − | 0.773063i | \(-0.718724\pi\) |
0.651169 | + | 0.758933i | \(0.274279\pi\) | |||||||
\(272\) | −0.700758 | + | 3.97420i | −0.0424897 | + | 0.240971i | ||||
\(273\) | −5.48047 | + | 9.49245i | −0.331693 | + | 0.574509i | ||||
\(274\) | 11.0168 | + | 19.0816i | 0.665548 | + | 1.15276i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −19.2160 | + | 6.99407i | −1.15667 | + | 0.420993i | ||||
\(277\) | −6.53530 | − | 11.3195i | −0.392668 | − | 0.680121i | 0.600132 | − | 0.799901i | \(-0.295115\pi\) |
−0.992801 | + | 0.119779i | \(0.961781\pi\) | |||||||
\(278\) | −6.53338 | + | 11.3161i | −0.391846 | + | 0.678697i | ||||
\(279\) | −0.740508 | + | 4.19963i | −0.0443331 | + | 0.251425i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.77732 | + | 6.52595i | 0.463956 | + | 0.389305i | 0.844584 | − | 0.535423i | \(-0.179848\pi\) |
−0.380628 | + | 0.924728i | \(0.624292\pi\) | |||||||
\(282\) | 3.94563 | + | 22.3768i | 0.234959 | + | 1.33252i | ||||
\(283\) | −9.64467 | − | 3.51037i | −0.573316 | − | 0.208670i | 0.0390595 | − | 0.999237i | \(-0.487564\pi\) |
−0.612376 | + | 0.790567i | \(0.709786\pi\) | |||||||
\(284\) | 13.3473 | 0.792018 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.18906 | −0.247704 | ||||||||
\(287\) | −12.1165 | − | 4.41006i | −0.715217 | − | 0.260318i | ||||
\(288\) | −0.388363 | − | 2.20251i | −0.0228845 | − | 0.129784i | ||||
\(289\) | −0.547493 | − | 0.459401i | −0.0322054 | − | 0.0270236i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.05568 | − | 17.3296i | 0.179127 | − | 1.01588i | ||||
\(292\) | 2.85433 | − | 4.94384i | 0.167037 | − | 0.289316i | ||||
\(293\) | −3.57090 | − | 6.18499i | −0.208614 | − | 0.361331i | 0.742664 | − | 0.669664i | \(-0.233562\pi\) |
−0.951278 | + | 0.308334i | \(0.900229\pi\) | |||||||
\(294\) | −1.43005 | + | 0.520494i | −0.0834020 | + | 0.0303558i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −1.44674 | − | 2.50582i | −0.0840900 | − | 0.145648i | ||||
\(297\) | −2.11519 | + | 3.66362i | −0.122736 | + | 0.212585i | ||||
\(298\) | −0.359724 | + | 2.04010i | −0.0208383 | + | 0.118180i | ||||
\(299\) | −11.8436 | + | 9.93793i | −0.684931 | + | 0.574725i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.43092 | − | 8.11513i | −0.0824766 | − | 0.467748i | ||||
\(302\) | −3.34091 | − | 1.21599i | −0.192248 | − | 0.0699725i | ||||
\(303\) | 24.0460 | 1.38141 | ||||||||
\(304\) | −4.28064 | + | 0.822290i | −0.245511 | + | 0.0471615i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −8.48107 | − | 3.08686i | −0.484831 | − | 0.176464i | ||||
\(307\) | 1.87916 | + | 10.6573i | 0.107250 | + | 0.608242i | 0.990298 | + | 0.138960i | \(0.0443761\pi\) |
−0.883048 | + | 0.469282i | \(0.844513\pi\) | |||||||
\(308\) | −5.13519 | − | 4.30894i | −0.292605 | − | 0.245524i | ||||
\(309\) | 18.0745 | − | 15.1663i | 1.02822 | − | 0.862780i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.1789 | + | 22.8265i | −0.747307 | + | 1.29437i | 0.201802 | + | 0.979426i | \(0.435320\pi\) |
−0.949109 | + | 0.314947i | \(0.898013\pi\) | |||||||
\(312\) | −1.97952 | − | 3.42864i | −0.112068 | − | 0.194108i | ||||
\(313\) | −28.3558 | + | 10.3207i | −1.60276 | + | 0.583358i | −0.979990 | − | 0.199046i | \(-0.936216\pi\) |
−0.622772 | + | 0.782403i | \(0.713994\pi\) | |||||||
\(314\) | −8.65528 | + | 3.15027i | −0.488446 | + | 0.177780i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.36233 | + | 5.82372i | −0.189146 | + | 0.327610i | ||||
\(317\) | 2.07593 | − | 11.7732i | 0.116596 | − | 0.661248i | −0.869352 | − | 0.494194i | \(-0.835463\pi\) |
0.985948 | − | 0.167054i | \(-0.0534255\pi\) | |||||||
\(318\) | 19.5999 | − | 16.4463i | 1.09911 | − | 0.922262i | ||||
\(319\) | −8.26015 | − | 6.93109i | −0.462479 | − | 0.388066i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −15.1248 | − | 5.50499i | −0.844186 | − | 0.307259i | ||||
\(322\) | −24.7409 | −1.37875 | ||||||||
\(323\) | −5.76348 | + | 16.6194i | −0.320689 | + | 0.924726i | ||||
\(324\) | −10.7076 | −0.594866 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.52661 | + | 20.0004i | 0.195321 | + | 1.10772i | ||||
\(327\) | −10.9495 | − | 9.18774i | −0.605510 | − | 0.508083i | ||||
\(328\) | 3.56771 | − | 2.99367i | 0.196994 | − | 0.165298i | ||||
\(329\) | −4.77368 | + | 27.0729i | −0.263181 | + | 1.49258i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.4811 | + | 25.0820i | 0.795954 | + | 1.37863i | 0.922232 | + | 0.386638i | \(0.126364\pi\) |
−0.126277 | + | 0.991995i | \(0.540303\pi\) | |||||||
\(332\) | 15.9310 | − | 5.79840i | 0.874326 | − | 0.318229i | ||||
\(333\) | 6.08097 | − | 2.21329i | 0.333235 | − | 0.121288i | ||||
\(334\) | 5.44777 | + | 9.43582i | 0.298089 | + | 0.516305i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 1.10014 | − | 6.23920i | 0.0600175 | − | 0.340376i | ||||
\(337\) | 3.41545 | − | 2.86591i | 0.186052 | − | 0.156116i | −0.545005 | − | 0.838433i | \(-0.683472\pi\) |
0.731056 | + | 0.682317i | \(0.239028\pi\) | |||||||
\(338\) | 7.66562 | + | 6.43222i | 0.416955 | + | 0.349867i | ||||
\(339\) | −2.98231 | − | 16.9135i | −0.161977 | − | 0.918617i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.61677 | −0.250012 | ||||||||
\(342\) | −0.148666 | − | 9.74750i | −0.00803892 | − | 0.527085i | ||||
\(343\) | 17.5389 | 0.947009 | ||||||||
\(344\) | 2.79687 | + | 1.01798i | 0.150797 | + | 0.0548857i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −12.8061 | − | 10.7456i | −0.688458 | − | 0.577684i | ||||
\(347\) | −19.7859 | + | 16.6023i | −1.06216 | + | 0.891260i | −0.994320 | − | 0.106436i | \(-0.966056\pi\) |
−0.0678428 | + | 0.997696i | \(0.521612\pi\) | |||||||
\(348\) | 1.76961 | − | 10.0360i | 0.0948613 | − | 0.537985i | ||||
\(349\) | 10.9499 | − | 18.9659i | 0.586137 | − | 1.01522i | −0.408595 | − | 0.912716i | \(-0.633981\pi\) |
0.994733 | − | 0.102504i | \(-0.0326854\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.84047 | + | 1.03385i | −0.151613 | + | 0.0551827i | ||||
\(352\) | 2.27526 | − | 0.828128i | 0.121272 | − | 0.0441394i | ||||
\(353\) | −6.36930 | − | 11.0320i | −0.339004 | − | 0.587172i | 0.645242 | − | 0.763978i | \(-0.276757\pi\) |
−0.984246 | + | 0.176807i | \(0.943423\pi\) | |||||||
\(354\) | −2.30704 | + | 3.99590i | −0.122618 | + | 0.212380i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 4.25351 | − | 3.56912i | 0.225436 | − | 0.189163i | ||||
\(357\) | −19.5852 | − | 16.4340i | −1.03656 | − | 0.869778i | ||||
\(358\) | 4.43514 | + | 25.1529i | 0.234404 | + | 1.32937i | ||||
\(359\) | −23.3776 | − | 8.50877i | −1.23382 | − | 0.449075i | −0.358919 | − | 0.933369i | \(-0.616855\pi\) |
−0.874906 | + | 0.484293i | \(0.839077\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.9912 | + | 0.579428i | −0.999535 | + | 0.0304962i | ||||
\(362\) | −2.09093 | −0.109897 | ||||||||
\(363\) | −11.0471 | − | 4.02081i | −0.579822 | − | 0.211038i | ||||
\(364\) | −0.831760 | − | 4.71714i | −0.0435961 | − | 0.247246i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 15.2596 | − | 12.8044i | 0.797635 | − | 0.669295i | ||||
\(367\) | 1.92492 | − | 10.9168i | 0.100480 | − | 0.569851i | −0.892450 | − | 0.451147i | \(-0.851015\pi\) |
0.992930 | − | 0.118704i | \(-0.0378739\pi\) | |||||||
\(368\) | 4.46815 | − | 7.73907i | 0.232919 | − | 0.403427i | ||||
\(369\) | 5.20803 | + | 9.02056i | 0.271119 | + | 0.469592i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 29.0886 | − | 10.5874i | 1.51021 | − | 0.549670i | ||||
\(372\) | −2.18164 | − | 3.77871i | −0.113113 | − | 0.195917i | ||||
\(373\) | −16.7466 | + | 29.0060i | −0.867108 | + | 1.50188i | −0.00216955 | + | 0.999998i | \(0.500691\pi\) |
−0.864939 | + | 0.501878i | \(0.832643\pi\) | |||||||
\(374\) | 1.69673 | − | 9.62266i | 0.0877360 | − | 0.497576i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.60641 | − | 6.38254i | −0.392271 | − | 0.329154i | ||||
\(377\) | −1.33792 | − | 7.58770i | −0.0689062 | − | 0.390786i | ||||
\(378\) | −4.54545 | − | 1.65441i | −0.233793 | − | 0.0850937i | ||||
\(379\) | 13.5486 | 0.695946 | 0.347973 | − | 0.937504i | \(-0.386870\pi\) | ||||
0.347973 | + | 0.937504i | \(0.386870\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 29.7651 | 1.52491 | ||||||||
\(382\) | 12.1287 | + | 4.41448i | 0.620558 | + | 0.225865i | ||||
\(383\) | −6.66222 | − | 37.7833i | −0.340423 | − | 1.93064i | −0.365164 | − | 0.930943i | \(-0.618987\pi\) |
0.0247406 | − | 0.999694i | \(-0.492124\pi\) | |||||||
\(384\) | 1.75297 | + | 1.47092i | 0.0894558 | + | 0.0750623i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.73231 | + | 21.1670i | −0.189969 | + | 1.07737i | ||||
\(387\) | −3.32831 | + | 5.76481i | −0.169188 | + | 0.293042i | ||||
\(388\) | 3.84493 | + | 6.65961i | 0.195197 | + | 0.338090i | ||||
\(389\) | −12.5980 | + | 4.58528i | −0.638742 | + | 0.232483i | −0.641032 | − | 0.767514i | \(-0.721493\pi\) |
0.00228971 | + | 0.999997i | \(0.499271\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.0312 | − | 31.2310i | −0.911879 | − | 1.57942i | ||||
\(392\) | 0.332517 | − | 0.575937i | 0.0167947 | − | 0.0290892i | ||||
\(393\) | −1.86898 | + | 10.5995i | −0.0942778 | + | 0.534676i | ||||
\(394\) | −8.69134 | + | 7.29290i | −0.437863 | + | 0.367411i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.940336 | + | 5.33291i | 0.0472537 | + | 0.267989i | ||||
\(397\) | −28.3472 | − | 10.3175i | −1.42270 | − | 0.517822i | −0.487872 | − | 0.872915i | \(-0.662227\pi\) |
−0.934831 | + | 0.355094i | \(0.884449\pi\) | |||||||
\(398\) | 13.5963 | 0.681519 | ||||||||
\(399\) | 9.04825 | − | 26.0912i | 0.452979 | − | 1.30619i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −9.60460 | − | 3.49579i | −0.479631 | − | 0.174571i | 0.0908794 | − | 0.995862i | \(-0.471032\pi\) |
−0.570510 | + | 0.821291i | \(0.693254\pi\) | |||||||
\(402\) | 5.36174 | + | 30.4079i | 0.267419 | + | 1.51661i | ||||
\(403\) | −2.52707 | − | 2.12046i | −0.125882 | − | 0.105628i | ||||
\(404\) | −8.04966 | + | 6.75447i | −0.400485 | + | 0.336047i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.16475 | − | 10.6777i | 0.305951 | − | 0.529923i | ||||
\(407\) | 3.50296 | + | 6.06731i | 0.173635 | + | 0.300745i | ||||
\(408\) | 8.67768 | − | 3.15842i | 0.429609 | − | 0.156365i | ||||
\(409\) | 23.6095 | − | 8.59314i | 1.16741 | − | 0.424904i | 0.315673 | − | 0.948868i | \(-0.397770\pi\) |
0.851740 | + | 0.523964i | \(0.175548\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 25.2101 | − | 43.6652i | 1.24352 | − | 2.15384i | ||||
\(412\) | −1.79045 | + | 10.1541i | −0.0882091 | + | 0.500258i | ||||
\(413\) | −4.27637 | + | 3.58830i | −0.210426 | + | 0.176569i | ||||
\(414\) | 15.3101 | + | 12.8467i | 0.752452 | + | 0.631382i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.62576 | + | 0.591728i | 0.0797094 | + | 0.0290119i | ||||
\(417\) | 29.9012 | 1.46427 | ||||||||
\(418\) | 10.3646 | − | 1.99100i | 0.506951 | − | 0.0973828i | ||||
\(419\) | −4.75112 | −0.232107 | −0.116054 | − | 0.993243i | \(-0.537024\pi\) | ||||
−0.116054 | + | 0.993243i | \(0.537024\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.00373 | + | 11.3637i | 0.0976559 | + | 0.553834i | 0.993901 | + | 0.110275i | \(0.0351732\pi\) |
−0.896245 | + | 0.443559i | \(0.853716\pi\) | |||||||
\(422\) | −3.41131 | − | 2.86243i | −0.166060 | − | 0.139341i | ||||
\(423\) | 17.0117 | − | 14.2745i | 0.827136 | − | 0.694049i | ||||
\(424\) | −1.94156 | + | 11.0111i | −0.0942904 | + | 0.534748i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −15.2716 | − | 26.4512i | −0.739911 | − | 1.28156i | ||||
\(427\) | 22.6471 | − | 8.24288i | 1.09597 | − | 0.398901i | ||||
\(428\) | 6.60953 | − | 2.40567i | 0.319484 | − | 0.116283i | ||||
\(429\) | 4.79299 | + | 8.30170i | 0.231408 | + | 0.400810i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.50718 | − | 8.54765i | 0.0725984 | − | 0.411726i | −0.926752 | − | 0.375675i | \(-0.877411\pi\) |
0.999350 | − | 0.0360511i | \(-0.0114779\pi\) | |||||||
\(432\) | 1.33841 | − | 1.12306i | 0.0643942 | − | 0.0540331i | ||||
\(433\) | −0.999529 | − | 0.838704i | −0.0480343 | − | 0.0403056i | 0.618454 | − | 0.785821i | \(-0.287759\pi\) |
−0.666489 | + | 0.745515i | \(0.732204\pi\) | |||||||
\(434\) | −0.916684 | − | 5.19878i | −0.0440023 | − | 0.249549i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.24627 | 0.299142 | ||||||||
\(437\) | 24.5802 | − | 30.2177i | 1.17583 | − | 1.44551i | ||||
\(438\) | −13.0633 | −0.624190 | ||||||||
\(439\) | 21.7294 | + | 7.90886i | 1.03709 | + | 0.377469i | 0.803776 | − | 0.594932i | \(-0.202821\pi\) |
0.233313 | + | 0.972402i | \(0.425043\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.13937 | + | 0.956046i | 0.0542558 | + | 0.0455260i | ||||
\(442\) | 5.34838 | − | 4.48783i | 0.254397 | − | 0.213464i | ||||
\(443\) | −5.53159 | + | 31.3712i | −0.262814 | + | 1.49049i | 0.512375 | + | 0.858762i | \(0.328766\pi\) |
−0.775189 | + | 0.631730i | \(0.782345\pi\) | |||||||
\(444\) | −3.31063 | + | 5.73417i | −0.157115 | + | 0.272132i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 18.6363 | − | 6.78306i | 0.882454 | − | 0.321187i | ||||
\(447\) | 4.45456 | − | 1.62133i | 0.210694 | − | 0.0766862i | ||||
\(448\) | 1.38429 | + | 2.39766i | 0.0654016 | + | 0.113279i | ||||
\(449\) | 16.7627 | − | 29.0338i | 0.791080 | − | 1.37019i | −0.134218 | − | 0.990952i | \(-0.542852\pi\) |
0.925298 | − | 0.379240i | \(-0.123814\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.63844 | + | 7.24852i | −0.406768 | + | 0.341319i | ||||
\(452\) | 5.74932 | + | 4.82426i | 0.270425 | + | 0.226914i | ||||
\(453\) | 1.41276 | + | 8.01218i | 0.0663774 | + | 0.376445i | ||||
\(454\) | 12.0605 | + | 4.38966i | 0.566027 | + | 0.206017i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.52735 | + | 7.54235i | 0.305671 | + | 0.353203i | ||||
\(457\) | −2.81534 | −0.131696 | −0.0658479 | − | 0.997830i | \(-0.520975\pi\) | ||||
−0.0658479 | + | 0.997830i | \(0.520975\pi\) | |||||||
\(458\) | −10.7963 | − | 3.92955i | −0.504480 | − | 0.183616i | ||||
\(459\) | −1.22434 | − | 6.94358i | −0.0571474 | − | 0.324099i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.64940 | + | 5.57951i | −0.309693 | + | 0.259864i | −0.784365 | − | 0.620299i | \(-0.787011\pi\) |
0.474672 | + | 0.880163i | \(0.342567\pi\) | |||||||
\(462\) | −2.66375 | + | 15.1069i | −0.123929 | + | 0.702835i | ||||
\(463\) | −9.47085 | + | 16.4040i | −0.440148 | + | 0.762358i | −0.997700 | − | 0.0677837i | \(-0.978407\pi\) |
0.557552 | + | 0.830142i | \(0.311741\pi\) | |||||||
\(464\) | 2.22668 | + | 3.85673i | 0.103371 | + | 0.179044i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.56436 | − | 0.933350i | 0.118792 | − | 0.0432366i | ||||
\(467\) | 2.47059 | + | 4.27919i | 0.114325 | + | 0.198017i | 0.917510 | − | 0.397713i | \(-0.130196\pi\) |
−0.803184 | + | 0.595730i | \(0.796863\pi\) | |||||||
\(468\) | −1.93467 | + | 3.35095i | −0.0894303 | + | 0.154898i | ||||
\(469\) | −6.48698 | + | 36.7895i | −0.299541 | + | 1.69878i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 16.1462 | + | 13.5482i | 0.743976 | + | 0.624270i | ||||
\(472\) | −0.350134 | − | 1.98571i | −0.0161162 | − | 0.0913997i | ||||
\(473\) | −6.77202 | − | 2.46481i | −0.311378 | − | 0.113332i | ||||
\(474\) | 15.3883 | 0.706807 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 11.1726 | 0.512096 | ||||||||
\(477\) | −23.4981 | − | 8.55262i | −1.07591 | − | 0.391598i | ||||
\(478\) | −4.34565 | − | 24.6454i | −0.198765 | − | 1.12725i | ||||
\(479\) | −19.4138 | − | 16.2901i | −0.887038 | − | 0.744313i | 0.0805757 | − | 0.996748i | \(-0.474324\pi\) |
−0.967614 | + | 0.252435i | \(0.918769\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.869282 | + | 4.92995i | −0.0396359 | + | 0.224786i | ||||
\(482\) | 12.6104 | − | 21.8418i | 0.574387 | − | 0.994867i | ||||
\(483\) | 28.3077 | + | 49.0304i | 1.28805 | + | 2.23096i | ||||
\(484\) | 4.82756 | − | 1.75709i | 0.219435 | − | 0.0798677i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 9.63053 | + | 16.6806i | 0.436850 | + | 0.756646i | ||||
\(487\) | 9.98344 | − | 17.2918i | 0.452393 | − | 0.783567i | −0.546141 | − | 0.837693i | \(-0.683904\pi\) |
0.998534 | + | 0.0541258i | \(0.0172372\pi\) | |||||||
\(488\) | −1.51161 | + | 8.57278i | −0.0684275 | + | 0.388072i | ||||
\(489\) | 35.6009 | − | 29.8727i | 1.60993 | − | 1.35089i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.43814 | − | 13.8274i | −0.110032 | − | 0.624020i | −0.989091 | − | 0.147308i | \(-0.952939\pi\) |
0.879059 | − | 0.476713i | \(-0.158172\pi\) | |||||||
\(492\) | −10.0148 | − | 3.64509i | −0.451502 | − | 0.164333i | ||||
\(493\) | 17.9716 | 0.809399 | ||||||||
\(494\) | 6.58772 | + | 3.67063i | 0.296395 | + | 0.165149i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.79175 | + | 0.652145i | 0.0804521 | + | 0.0292822i | ||||
\(497\) | −6.41684 | − | 36.3917i | −0.287835 | − | 1.63239i | ||||
\(498\) | −29.7188 | − | 24.9370i | −1.33173 | − | 1.11745i | ||||
\(499\) | −14.2758 | + | 11.9788i | −0.639072 | + | 0.536245i | −0.903733 | − | 0.428097i | \(-0.859184\pi\) |
0.264661 | + | 0.964341i | \(0.414740\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.4663 | − | 21.5923i | 0.556955 | − | 0.964674i | ||||
\(502\) | −1.66951 | − | 2.89168i | −0.0745140 | − | 0.129062i | ||||
\(503\) | −7.72785 | + | 2.81271i | −0.344568 | + | 0.125412i | −0.508507 | − | 0.861058i | \(-0.669802\pi\) |
0.163939 | + | 0.986470i | \(0.447580\pi\) | |||||||
\(504\) | −5.81849 | + | 2.11776i | −0.259176 | + | 0.0943323i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −10.8187 | + | 18.7385i | −0.480948 | + | 0.833027i | ||||
\(507\) | 3.97634 | − | 22.5510i | 0.176596 | − | 1.00152i | ||||
\(508\) | −9.96418 | + | 8.36094i | −0.442089 | + | 0.370957i | ||||
\(509\) | 20.2854 | + | 17.0215i | 0.899136 | + | 0.754465i | 0.970021 | − | 0.243020i | \(-0.0781379\pi\) |
−0.0708852 | + | 0.997484i | \(0.522582\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −14.8517 | − | 5.40558i | −0.657001 | − | 0.239129i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 6.53657 | − | 3.90800i | 0.288597 | − | 0.172542i | ||||
\(514\) | −9.48495 | −0.418363 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −1.18271 | − | 6.70747i | −0.0520658 | − | 0.295280i | ||||
\(517\) | 18.4173 | + | 15.4539i | 0.809991 | + | 0.679663i | ||||
\(518\) | −6.13665 | + | 5.14926i | −0.269629 | + | 0.226245i | ||||
\(519\) | −6.64281 | + | 37.6732i | −0.291587 | + | 1.65367i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.7837 | − | 25.6061i | −0.647686 | − | 1.12183i | −0.983674 | − | 0.179959i | \(-0.942404\pi\) |
0.335988 | − | 0.941866i | \(-0.390930\pi\) | |||||||
\(522\) | −9.35925 | + | 3.40649i | −0.409643 | + | 0.149098i | ||||
\(523\) | −2.30677 | + | 0.839597i | −0.100868 | + | 0.0367130i | −0.391961 | − | 0.919982i | \(-0.628203\pi\) |
0.291093 | + | 0.956695i | \(0.405981\pi\) | |||||||
\(524\) | −2.35172 | − | 4.07330i | −0.102735 | − | 0.177943i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.91064 | − | 27.8496i | 0.214114 | − | 1.21430i | ||||
\(527\) | 5.89447 | − | 4.94604i | 0.256767 | − | 0.215453i | ||||
\(528\) | −4.24443 | − | 3.56150i | −0.184715 | − | 0.154995i | ||||
\(529\) | 9.87320 | + | 55.9937i | 0.429270 | + | 2.43451i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.50953 | 0.195697 | ||||||||
\(532\) | 4.29994 | + | 11.2759i | 0.186426 | + | 0.488873i | ||||
\(533\) | −8.05761 | −0.349014 | ||||||||
\(534\) | −11.9399 | − | 4.34576i | −0.516689 | − | 0.188059i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −10.3364 | − | 8.67326i | −0.446464 | − | 0.374628i | ||||
\(537\) | 44.7725 | − | 37.5686i | 1.93207 | − | 1.62120i | ||||
\(538\) | 0.907359 | − | 5.14589i | 0.0391190 | − | 0.221855i | ||||
\(539\) | −0.805118 | + | 1.39451i | −0.0346789 | + | 0.0600656i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −35.2607 | + | 12.8338i | −1.51597 | + | 0.551769i | −0.960139 | − | 0.279523i | \(-0.909824\pi\) |
−0.555835 | + | 0.831293i | \(0.687601\pi\) | |||||||
\(542\) | 0.340055 | − | 0.123770i | 0.0146066 | − | 0.00531637i | ||||
\(543\) | 2.39237 | + | 4.14371i | 0.102667 | + | 0.177824i | ||||
\(544\) | −2.01775 | + | 3.49485i | −0.0865104 | + | 0.149840i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −8.39657 | + | 7.04556i | −0.359340 | + | 0.301522i | ||||
\(547\) | −2.92850 | − | 2.45730i | −0.125213 | − | 0.105067i | 0.578031 | − | 0.816015i | \(-0.303821\pi\) |
−0.703244 | + | 0.710949i | \(0.748266\pi\) | |||||||
\(548\) | 3.82609 | + | 21.6988i | 0.163442 | + | 0.926927i | ||||
\(549\) | −18.2946 | − | 6.65870i | −0.780795 | − | 0.284186i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.91662 | + | 18.1377i | 0.294658 | + | 0.772693i | ||||
\(552\) | −20.4493 | −0.870379 | ||||||||
\(553\) | 17.4949 | + | 6.36764i | 0.743961 | + | 0.270780i | ||||
\(554\) | −2.26969 | − | 12.8720i | −0.0964298 | − | 0.546880i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.0097 | + | 8.39915i | −0.424507 | + | 0.356203i | ||||
\(557\) | 0.412140 | − | 2.33736i | 0.0174629 | − | 0.0990373i | −0.974831 | − | 0.222947i | \(-0.928432\pi\) |
0.992293 | + | 0.123910i | \(0.0395434\pi\) | |||||||
\(558\) | −2.13221 | + | 3.69309i | −0.0902636 | + | 0.156341i | ||||
\(559\) | −2.57470 | − | 4.45952i | −0.108898 | − | 0.188618i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −21.0111 | + | 7.64743i | −0.887091 | + | 0.322875i | ||||
\(562\) | 5.07629 | + | 8.79238i | 0.214130 | + | 0.370884i | ||||
\(563\) | 9.18301 | − | 15.9054i | 0.387018 | − | 0.670335i | −0.605029 | − | 0.796203i | \(-0.706838\pi\) |
0.992047 | + | 0.125869i | \(0.0401718\pi\) | |||||||
\(564\) | −3.94563 | + | 22.3768i | −0.166141 | + | 0.942232i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −7.86241 | − | 6.59734i | −0.330482 | − | 0.277307i | ||||
\(567\) | 5.14776 | + | 29.1944i | 0.216186 | + | 1.22605i | ||||
\(568\) | 12.5424 | + | 4.56505i | 0.526267 | + | 0.191545i | ||||
\(569\) | 3.09691 | 0.129829 | 0.0649146 | − | 0.997891i | \(-0.479322\pi\) | ||||
0.0649146 | + | 0.997891i | \(0.479322\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −21.1742 | −0.886113 | −0.443056 | − | 0.896494i | \(-0.646106\pi\) | ||||
−0.443056 | + | 0.896494i | \(0.646106\pi\) | |||||||
\(572\) | −3.93643 | − | 1.43274i | −0.164590 | − | 0.0599059i | ||||
\(573\) | −5.12883 | − | 29.0870i | −0.214260 | − | 1.21513i | ||||
\(574\) | −9.87750 | − | 8.28820i | −0.412279 | − | 0.345943i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.388363 | − | 2.20251i | 0.0161818 | − | 0.0917714i | ||||
\(577\) | −9.06063 | + | 15.6935i | −0.377199 | + | 0.653328i | −0.990654 | − | 0.136402i | \(-0.956446\pi\) |
0.613455 | + | 0.789730i | \(0.289779\pi\) | |||||||
\(578\) | −0.357350 | − | 0.618949i | −0.0148638 | − | 0.0257449i | ||||
\(579\) | 46.2182 | − | 16.8220i | 1.92076 | − | 0.699100i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −23.4684 | − | 40.6485i | −0.973634 | − | 1.68638i | ||||
\(582\) | 8.79849 | − | 15.2394i | 0.364709 | − | 0.631695i | ||||
\(583\) | 4.70106 | − | 26.6611i | 0.194698 | − | 1.10419i | ||||
\(584\) | 4.37308 | − | 3.66945i | 0.180960 | − | 0.151843i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.24016 | − | 7.03331i | −0.0512306 | − | 0.290543i | ||||
\(587\) | 7.20361 | + | 2.62190i | 0.297325 | + | 0.108217i | 0.486375 | − | 0.873750i | \(-0.338319\pi\) |
−0.189051 | + | 0.981967i | \(0.560541\pi\) | |||||||
\(588\) | −1.52182 | −0.0627589 | ||||||||
\(589\) | 7.26034 | + | 4.04540i | 0.299157 | + | 0.166688i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 24.3971 | + | 8.87983i | 1.00356 | + | 0.365267i | ||||
\(592\) | −0.502447 | − | 2.84952i | −0.0206504 | − | 0.117114i | ||||
\(593\) | 0.970306 | + | 0.814183i | 0.0398457 | + | 0.0334345i | 0.662493 | − | 0.749068i | \(-0.269498\pi\) |
−0.622647 | + | 0.782503i | \(0.713943\pi\) | |||||||
\(594\) | −3.24066 | + | 2.71924i | −0.132966 | + | 0.111572i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.03578 | + | 1.79403i | −0.0424274 | + | 0.0734864i | ||||
\(597\) | −15.5564 | − | 26.9445i | −0.636682 | − | 1.10277i | ||||
\(598\) | −14.5283 | + | 5.28786i | −0.594106 | + | 0.216237i | ||||
\(599\) | −6.46096 | + | 2.35160i | −0.263987 | + | 0.0960836i | −0.470623 | − | 0.882334i | \(-0.655971\pi\) |
0.206636 | + | 0.978418i | \(0.433749\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.4282 | − | 18.0622i | 0.425376 | − | 0.736772i | −0.571080 | − | 0.820895i | \(-0.693475\pi\) |
0.996455 | + | 0.0841223i | \(0.0268086\pi\) | |||||||
\(602\) | 1.43092 | − | 8.11513i | 0.0583198 | − | 0.330748i | ||||
\(603\) | 23.1172 | − | 19.3977i | 0.941407 | − | 0.789934i | ||||
\(604\) | −2.72354 | − | 2.28532i | −0.110819 | − | 0.0929883i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 22.5959 | + | 8.22423i | 0.917895 | + | 0.334087i | ||||
\(607\) | −8.73323 | −0.354471 | −0.177235 | − | 0.984168i | \(-0.556715\pi\) | ||||
−0.177235 | + | 0.984168i | \(0.556715\pi\) | |||||||
\(608\) | −4.30372 | − | 0.691364i | −0.174539 | − | 0.0280385i | ||||
\(609\) | −28.2140 | −1.14329 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 2.98309 | + | 16.9180i | 0.120683 | + | 0.684427i | ||||
\(612\) | −6.91383 | − | 5.80140i | −0.279475 | − | 0.234508i | ||||
\(613\) | 16.6001 | − | 13.9291i | 0.670470 | − | 0.562591i | −0.242734 | − | 0.970093i | \(-0.578044\pi\) |
0.913205 | + | 0.407501i | \(0.133600\pi\) | |||||||
\(614\) | −1.87916 | + | 10.6573i | −0.0758369 | + | 0.430092i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.35176 | − | 5.80542i | −0.135046 | − | 0.233907i | ||||
\(617\) | −11.1916 | + | 4.07342i | −0.450559 | + | 0.163990i | −0.557325 | − | 0.830294i | \(-0.688172\pi\) |
0.106767 | + | 0.994284i | \(0.465950\pi\) | |||||||
\(618\) | 22.1716 | − | 8.06981i | 0.891874 | − | 0.324615i | ||||
\(619\) | −4.19167 | − | 7.26019i | −0.168478 | − | 0.291812i | 0.769407 | − | 0.638759i | \(-0.220552\pi\) |
−0.937885 | + | 0.346947i | \(0.887218\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.71121 | + | 15.3760i | −0.108797 | + | 0.617018i | ||||
\(622\) | −20.1912 | + | 16.9425i | −0.809595 | + | 0.679331i | ||||
\(623\) | −11.7762 | − | 9.88139i | −0.471803 | − | 0.395890i | ||||
\(624\) | −0.687481 | − | 3.89890i | −0.0275213 | − | 0.156081i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −30.1756 | −1.20606 | ||||||||
\(627\) | −15.8046 | − | 18.2622i | −0.631174 | − | 0.729321i | ||||
\(628\) | −9.21076 | −0.367549 | ||||||||
\(629\) | −10.9725 | − | 3.99365i | −0.437500 | − | 0.159237i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 34.4895 | + | 28.9401i | 1.37301 | + | 1.15209i | 0.971720 | + | 0.236135i | \(0.0758807\pi\) |
0.401285 | + | 0.915953i | \(0.368564\pi\) | |||||||
\(632\) | −5.15138 | + | 4.32252i | −0.204911 | + | 0.171941i | ||||
\(633\) | −1.76953 | + | 10.0355i | −0.0703324 | + | 0.398875i | ||||
\(634\) | 5.97740 | − | 10.3532i | 0.237393 | − | 0.411177i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 24.0429 | − | 8.75089i | 0.953362 | − | 0.346995i | ||||
\(637\) | −1.08119 | + | 0.393520i | −0.0428382 | + | 0.0155918i | ||||
\(638\) | −5.39143 | − | 9.33823i | −0.213449 | − | 0.369704i | ||||
\(639\) | −14.9256 | + | 25.8519i | −0.590447 | + | 1.02268i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −0.336944 | + | 0.282730i | −0.0133085 | + | 0.0111672i | −0.649418 | − | 0.760432i | \(-0.724987\pi\) |
0.636109 | + | 0.771599i | \(0.280543\pi\) | |||||||
\(642\) | −12.3299 | − | 10.3460i | −0.486622 | − | 0.408324i | ||||
\(643\) | −0.950798 | − | 5.39224i | −0.0374958 | − | 0.212649i | 0.960303 | − | 0.278958i | \(-0.0899890\pi\) |
−0.997799 | + | 0.0663085i | \(0.978878\pi\) | |||||||
\(644\) | −23.2488 | − | 8.46188i | −0.916132 | − | 0.333445i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.1001 | + | 13.6459i | −0.436726 | + | 0.536889i | ||||
\(647\) | −20.1149 | −0.790797 | −0.395398 | − | 0.918510i | \(-0.629393\pi\) | ||||
−0.395398 | + | 0.918510i | \(0.629393\pi\) | |||||||
\(648\) | −10.0618 | − | 3.66221i | −0.395266 | − | 0.143865i | ||||
\(649\) | 0.847774 | + | 4.80797i | 0.0332780 | + | 0.188729i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −9.25388 | + | 7.76493i | −0.362688 | + | 0.304331i | ||||
\(652\) | −3.52661 | + | 20.0004i | −0.138113 | + | 0.783275i | ||||
\(653\) | 13.0225 | − | 22.5556i | 0.509610 | − | 0.882671i | −0.490328 | − | 0.871538i | \(-0.663123\pi\) |
0.999938 | − | 0.0111325i | \(-0.00354367\pi\) | |||||||
\(654\) | −7.14679 | − | 12.3786i | −0.279462 | − | 0.484042i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 4.37645 | − | 1.59290i | 0.170872 | − | 0.0621922i | ||||
\(657\) | 6.38368 | + | 11.0569i | 0.249051 | + | 0.431369i | ||||
\(658\) | −13.7453 | + | 23.8075i | −0.535846 | + | 0.928112i | ||||
\(659\) | −0.984194 | + | 5.58164i | −0.0383387 | + | 0.217430i | −0.997958 | − | 0.0638720i | \(-0.979655\pi\) |
0.959619 | + | 0.281302i | \(0.0907662\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.2769 | − | 8.62333i | −0.399724 | − | 0.335409i | 0.420663 | − | 0.907217i | \(-0.361798\pi\) |
−0.820387 | + | 0.571809i | \(0.806242\pi\) | |||||||
\(662\) | 5.02924 | + | 28.5222i | 0.195467 | + | 1.10855i | ||||
\(663\) | −15.0132 | − | 5.46437i | −0.583066 | − | 0.212219i | ||||
\(664\) | 16.9534 | 0.657919 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 6.47124 | 0.250755 | ||||||||
\(667\) | −37.3966 | − | 13.6112i | −1.44800 | − | 0.527029i | ||||
\(668\) | 1.89199 | + | 10.7300i | 0.0732033 | + | 0.415157i | ||||
\(669\) | −34.7654 | − | 29.1717i | −1.34411 | − | 1.12784i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.66004 | − | 20.7571i | 0.141294 | − | 0.801320i | ||||
\(672\) | 3.16772 | − | 5.48666i | 0.122198 | − | 0.211652i | ||||
\(673\) | 15.3125 | + | 26.5220i | 0.590252 | + | 1.02235i | 0.994198 | + | 0.107564i | \(0.0343050\pi\) |
−0.403946 | + | 0.914783i | \(0.632362\pi\) | |||||||
\(674\) | 4.18967 | − | 1.52492i | 0.161380 | − | 0.0587376i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.00338 | + | 8.66611i | 0.192438 | + | 0.333312i | ||||
\(677\) | −6.67895 | + | 11.5683i | −0.256693 | + | 0.444605i | −0.965354 | − | 0.260944i | \(-0.915966\pi\) |
0.708661 | + | 0.705549i | \(0.249300\pi\) | |||||||
\(678\) | 2.98231 | − | 16.9135i | 0.114535 | − | 0.649561i | ||||
\(679\) | 16.3091 | − | 13.6849i | 0.625885 | − | 0.525179i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.10000 | − | 28.9235i | −0.195432 | − | 1.10835i | ||||
\(682\) | −4.33834 | − | 1.57903i | −0.166124 | − | 0.0604641i | ||||
\(683\) | −9.75308 | −0.373191 | −0.186596 | − | 0.982437i | \(-0.559745\pi\) | ||||
−0.186596 | + | 0.982437i | \(0.559745\pi\) | |||||||
\(684\) | 3.19414 | − | 9.21050i | 0.122131 | − | 0.352172i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 16.4811 | + | 5.99864i | 0.629253 | + | 0.229029i | ||||
\(687\) | 4.56543 | + | 25.8918i | 0.174182 | + | 0.987835i | ||||
\(688\) | 2.28003 | + | 1.91317i | 0.0869254 | + | 0.0729391i | ||||
\(689\) | 14.8185 | − | 12.4342i | 0.564541 | − | 0.473706i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.80854 | + | 3.13248i | −0.0688001 | + | 0.119165i | −0.898373 | − | 0.439233i | \(-0.855250\pi\) |
0.829573 | + | 0.558398i | \(0.188584\pi\) | |||||||
\(692\) | −8.35856 | − | 14.4774i | −0.317745 | − | 0.550350i | ||||
\(693\) | 14.0882 | − | 5.12769i | 0.535167 | − | 0.194785i | ||||
\(694\) | −24.2710 | + | 8.83392i | −0.921314 | + | 0.335331i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.09540 | − | 8.82549i | 0.193141 | − | 0.334529i | ||||
\(697\) | 3.26365 | − | 18.5091i | 0.123620 | − | 0.701082i | ||||
\(698\) | 16.7763 | − | 14.0770i | 0.634992 | − | 0.532822i | ||||
\(699\) | −4.78373 | − | 4.01403i | −0.180937 | − | 0.151825i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.7716 | − | 6.10435i | −0.633453 | − | 0.230558i | 0.00528040 | − | 0.999986i | \(-0.498319\pi\) |
−0.638734 | + | 0.769428i | \(0.720541\pi\) | |||||||
\(702\) | −3.02277 | −0.114087 | ||||||||
\(703\) | −0.192337 | − | 12.6109i | −0.00725414 | − | 0.475629i | ||||
\(704\) | 2.42128 | 0.0912556 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.21203 | − | 12.5451i | −0.0832510 | − | 0.472140i | ||||
\(707\) | 22.2861 | + | 18.7003i | 0.838156 | + | 0.703296i | ||||
\(708\) | −3.53458 | + | 2.96587i | −0.132838 | + | 0.111464i | ||||
\(709\) | −6.05271 | + | 34.3266i | −0.227314 | + | 1.28916i | 0.630897 | + | 0.775867i | \(0.282687\pi\) |
−0.858211 | + | 0.513297i | \(0.828424\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.51981 | − | 13.0247i | −0.282015 | − | 0.488464i | ||||
\(712\) | 5.21770 | − | 1.89909i | 0.195542 | − | 0.0711714i | ||||
\(713\) | −16.0117 | + | 5.82777i | −0.599641 | + | 0.218252i | ||||
\(714\) | −12.7834 | − | 22.1414i | −0.478405 | − | 0.828622i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.43514 | + | 25.1529i | −0.165749 | + | 0.940009i | ||||
\(717\) | −43.8691 | + | 36.8105i | −1.63832 | + | 1.37472i | ||||
\(718\) | −19.0576 | − | 15.9912i | −0.711224 | − | 0.596788i | ||||
\(719\) | −3.64425 | − | 20.6676i | −0.135908 | − | 0.770771i | −0.974223 | − | 0.225586i | \(-0.927570\pi\) |
0.838316 | − | 0.545185i | \(-0.183541\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 28.5462 | 1.06312 | ||||||||
\(722\) | −18.0440 | − | 5.95088i | −0.671529 | − | 0.221469i | ||||
\(723\) | −57.7136 | −2.14639 | ||||||||
\(724\) | −1.96483 | − | 0.715139i | −0.0730222 | − | 0.0265779i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −9.00568 | − | 7.55666i | −0.334232 | − | 0.280454i | ||||
\(727\) | 6.43176 | − | 5.39689i | 0.238541 | − | 0.200159i | −0.515678 | − | 0.856782i | \(-0.672460\pi\) |
0.754219 | + | 0.656623i | \(0.228016\pi\) | |||||||
\(728\) | 0.831760 | − | 4.71714i | 0.0308271 | − | 0.174829i | ||||
\(729\) | 5.97654 | − | 10.3517i | 0.221353 | − | 0.383395i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 11.2868 | − | 4.10806i | 0.417457 | − | 0.151942i | ||||
\(732\) | 18.7187 | − | 6.81306i | 0.691864 | − | 0.251818i | ||||
\(733\) | 4.33942 | + | 7.51610i | 0.160280 | + | 0.277614i | 0.934969 | − | 0.354729i | \(-0.115427\pi\) |
−0.774689 | + | 0.632343i | \(0.782094\pi\) | |||||||
\(734\) | 5.54259 | − | 9.60005i | 0.204581 | − | 0.354344i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.84561 | − | 5.74414i | 0.252332 | − | 0.211732i | ||||
\(737\) | 25.0273 | + | 21.0004i | 0.921894 | + | 0.773561i | ||||
\(738\) | 1.80873 | + | 10.2578i | 0.0665802 | + | 0.377595i | ||||
\(739\) | −9.63552 | − | 3.50704i | −0.354448 | − | 0.129009i | 0.158658 | − | 0.987334i | \(-0.449283\pi\) |
−0.513107 | + | 0.858325i | \(0.671505\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.263169 | − | 17.2551i | −0.00966774 | − | 0.633881i | ||||
\(742\) | 30.9555 | 1.13641 | ||||||||
\(743\) | 32.3326 | + | 11.7681i | 1.18617 | + | 0.431730i | 0.858377 | − | 0.513020i | \(-0.171473\pi\) |
0.327792 | + | 0.944750i | \(0.393695\pi\) | |||||||
\(744\) | −0.757675 | − | 4.29699i | −0.0277777 | − | 0.157535i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −25.6573 | + | 21.5291i | −0.939382 | + | 0.788235i | ||||
\(747\) | −6.58407 | + | 37.3401i | −0.240898 | + | 1.36620i | ||||
\(748\) | 4.88555 | − | 8.46202i | 0.178633 | − | 0.309402i | ||||
\(749\) | −9.73670 | − | 16.8645i | −0.355771 | − | 0.616214i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.94631 | + | 1.43634i | −0.144003 | + | 0.0524127i | −0.413016 | − | 0.910724i | \(-0.635525\pi\) |
0.269013 | + | 0.963136i | \(0.413302\pi\) | |||||||
\(752\) | −4.96473 | − | 8.59917i | −0.181045 | − | 0.313579i | ||||
\(753\) | −3.82041 | + | 6.61715i | −0.139224 | + | 0.241142i | ||||
\(754\) | 1.33792 | − | 7.58770i | 0.0487240 | − | 0.276328i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.70549 | − | 3.10927i | −0.134767 | − | 0.113083i | ||||
\(757\) | 2.48755 | + | 14.1076i | 0.0904115 | + | 0.512749i | 0.996057 | + | 0.0887138i | \(0.0282757\pi\) |
−0.905646 | + | 0.424035i | \(0.860613\pi\) | |||||||
\(758\) | 12.7315 | + | 4.63390i | 0.462431 | + | 0.168311i | ||||
\(759\) | 49.5135 | 1.79723 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 15.6963 | 0.568992 | 0.284496 | − | 0.958677i | \(-0.408174\pi\) | ||||
0.284496 | + | 0.958677i | \(0.408174\pi\) | |||||||
\(762\) | 27.9701 | + | 10.1803i | 1.01325 | + | 0.368792i | ||||
\(763\) | −3.00295 | − | 17.0306i | −0.108714 | − | 0.616548i | ||||
\(764\) | 9.88740 | + | 8.29651i | 0.357713 | + | 0.300157i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.66222 | − | 37.7833i | 0.240716 | − | 1.36517i | ||||
\(767\) | −1.74423 | + | 3.02110i | −0.0629807 | + | 0.109086i | ||||
\(768\) | 1.14417 | + | 1.98176i | 0.0412866 | + | 0.0715106i | ||||
\(769\) | 17.9278 | − | 6.52518i | 0.646492 | − | 0.235304i | 0.00209836 | − | 0.999998i | \(-0.499332\pi\) |
0.644394 | + | 0.764694i | \(0.277110\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.8524 | + | 18.7969i | 0.390839 | + | 0.676953i | ||||
\(772\) | −10.7467 | + | 18.6139i | −0.386784 | + | 0.669929i | ||||
\(773\) | −7.99526 | + | 45.3434i | −0.287570 | + | 1.63089i | 0.408390 | + | 0.912807i | \(0.366090\pi\) |
−0.695960 | + | 0.718081i | \(0.745021\pi\) | |||||||
\(774\) | −5.09927 | + | 4.27880i | −0.183289 | + | 0.153798i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 1.33533 | + | 7.57303i | 0.0479355 | + | 0.271856i | ||||
\(777\) | 17.2259 | + | 6.26973i | 0.617977 | + | 0.224925i | ||||
\(778\) | −13.4065 | −0.480645 | ||||||||
\(779\) | 19.9363 | − | 3.82966i | 0.714291 | − | 0.137212i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −30.3687 | − | 11.0533i | −1.08668 | − | 0.395518i | ||||
\(782\) | −6.26219 | − | 35.5146i | −0.223935 | − | 1.27000i | ||||
\(783\) | −5.96041 | − | 5.00138i | −0.213008 | − | 0.178735i | ||||
\(784\) | 0.509446 | − | 0.427476i | 0.0181945 | − | 0.0152670i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −5.38153 | + | 9.32108i | −0.191953 | + | 0.332472i | ||||
\(787\) | 26.4652 | + | 45.8391i | 0.943383 | + | 1.63399i | 0.758956 | + | 0.651141i | \(0.225710\pi\) |
0.184427 | + | 0.982846i | \(0.440957\pi\) | |||||||
\(788\) | −10.6615 | + | 3.88047i | −0.379800 | + | 0.138236i | ||||
\(789\) | −60.8098 | + | 22.1330i | −2.16489 | + | 0.787954i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 10.3894 | − | 17.9949i | 0.369404 | − | 0.639827i | ||||
\(792\) | −0.940336 | + | 5.33291i | −0.0334134 | + | 0.189497i | ||||
\(793\) | 11.5371 | − | 9.68074i | 0.409693 | − | 0.343773i | ||||
\(794\) | −23.1088 | − | 19.3906i | −0.820101 | − | 0.688146i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.7763 | + | 4.65019i | 0.452844 | + | 0.164822i | ||||
\(797\) | −40.6890 | −1.44128 | −0.720639 | − | 0.693311i | \(-0.756151\pi\) | ||||
−0.720639 | + | 0.693311i | \(0.756151\pi\) | |||||||
\(798\) | 17.4263 | − | 21.4230i | 0.616883 | − | 0.758366i | ||||
\(799\) | −40.0704 | −1.41759 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.15641 | + | 12.2296i | 0.0761929 | + | 0.432112i | ||||
\(802\) | −7.82974 | − | 6.56993i | −0.276478 | − | 0.231992i | ||||
\(803\) | −10.5885 | + | 8.88479i | −0.373659 | + | 0.313537i | ||||
\(804\) | −5.36174 | + | 30.4079i | −0.189094 | + | 1.07240i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1.64943 | − | 2.85689i | −0.0580986 | − | 0.100630i | ||||
\(807\) | −11.2361 | + | 4.08960i | −0.395529 | + | 0.143961i | ||||
\(808\) | −9.87437 | + | 3.59398i | −0.347379 | + | 0.126436i | ||||
\(809\) | 2.30197 | + | 3.98714i | 0.0809331 | + | 0.140180i | 0.903651 | − | 0.428270i | \(-0.140877\pi\) |
−0.822718 | + | 0.568450i | \(0.807543\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.75399 | + | 32.6325i | −0.202050 | + | 1.14588i | 0.699965 | + | 0.714177i | \(0.253199\pi\) |
−0.902015 | + | 0.431705i | \(0.857912\pi\) | |||||||
\(812\) | 9.44494 | − | 7.92524i | 0.331452 | − | 0.278122i | ||||
\(813\) | −0.634362 | − | 0.532293i | −0.0222481 | − | 0.0186683i | ||||
\(814\) | 1.21657 | + | 6.89949i | 0.0426406 | + | 0.241827i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 9.23460 | 0.323276 | ||||||||
\(817\) | 8.48992 | + | 9.81010i | 0.297025 | + | 0.343212i | ||||
\(818\) | 25.1247 | 0.878464 | ||||||||
\(819\) | 10.0665 | + | 3.66392i | 0.351754 | + | 0.128028i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 16.3258 | + | 13.6990i | 0.569774 | + | 0.478098i | 0.881571 | − | 0.472051i | \(-0.156486\pi\) |
−0.311797 | + | 0.950149i | \(0.600931\pi\) | |||||||
\(822\) | 38.6241 | − | 32.4095i | 1.34717 | − | 1.13041i | ||||
\(823\) | −8.31895 | + | 47.1791i | −0.289980 | + | 1.64456i | 0.396952 | + | 0.917839i | \(0.370068\pi\) |
−0.686933 | + | 0.726721i | \(0.741043\pi\) | |||||||
\(824\) | −5.15539 | + | 8.92940i | −0.179597 | + | 0.311070i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.24574 | + | 1.90929i | −0.182523 | + | 0.0664329i | ||||
\(827\) | −13.5484 | + | 4.93122i | −0.471125 | + | 0.171475i | −0.566662 | − | 0.823950i | \(-0.691765\pi\) |
0.0955370 | + | 0.995426i | \(0.469543\pi\) | |||||||
\(828\) | 9.99298 | + | 17.3084i | 0.347280 | + | 0.601507i | ||||
\(829\) | 3.14956 | − | 5.45520i | 0.109389 | − | 0.189467i | −0.806134 | − | 0.591733i | \(-0.798444\pi\) |
0.915523 | + | 0.402266i | \(0.131777\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −22.9124 | + | 19.2258i | −0.794821 | + | 0.666934i | ||||
\(832\) | 1.32533 | + | 1.11209i | 0.0459476 | + | 0.0385546i | ||||
\(833\) | −0.466028 | − | 2.64298i | −0.0161469 | − | 0.0915737i | ||||
\(834\) | 28.0979 | + | 10.2268i | 0.972951 | + | 0.354125i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 10.4205 | + | 1.67399i | 0.360402 | + | 0.0578961i | ||||
\(837\) | −3.33140 | −0.115150 | ||||||||
\(838\) | −4.46459 | − | 1.62498i | −0.154227 | − | 0.0561339i | ||||
\(839\) | −2.58965 | − | 14.6867i | −0.0894048 | − | 0.507040i | −0.996319 | − | 0.0857242i | \(-0.972680\pi\) |
0.906914 | − | 0.421316i | \(-0.138432\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.02276 | + | 5.89279i | −0.242164 | + | 0.203200i | ||||
\(842\) | −2.00373 | + | 11.3637i | −0.0690532 | + | 0.391620i | ||||
\(843\) | 11.6163 | − | 20.1199i | 0.400085 | − | 0.692968i | ||||
\(844\) | −2.22657 | − | 3.85654i | −0.0766418 | − | 0.132747i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 20.8679 | − | 7.59529i | 0.717453 | − | 0.261132i | ||||
\(847\) | −7.11163 | − | 12.3177i | −0.244359 | − | 0.423241i | ||||
\(848\) | −5.59050 | + | 9.68302i | −0.191978 | + | 0.332516i | ||||
\(849\) | −4.07842 | + | 23.1299i | −0.139971 | + | 0.793815i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 19.8076 | + | 16.6206i | 0.678996 | + | 0.569745i | ||||
\(852\) | −5.30377 | − | 30.0792i | −0.181704 | − | 1.03050i | ||||
\(853\) | −53.8776 | − | 19.6098i | −1.84473 | − | 0.671428i | −0.987741 | − | 0.156100i | \(-0.950108\pi\) |
−0.856993 | − | 0.515328i | \(-0.827670\pi\) | |||||||
\(854\) | 24.1006 | 0.824705 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.03372 | 0.240407 | ||||||||
\(857\) | 21.4404 | + | 7.80367i | 0.732390 | + | 0.266568i | 0.681176 | − | 0.732120i | \(-0.261469\pi\) |
0.0512138 | + | 0.998688i | \(0.483691\pi\) | |||||||
\(858\) | 1.66459 | + | 9.44034i | 0.0568281 | + | 0.322288i | ||||
\(859\) | −18.2941 | − | 15.3506i | −0.624188 | − | 0.523756i | 0.274929 | − | 0.961465i | \(-0.411346\pi\) |
−0.899117 | + | 0.437709i | \(0.855790\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.12370 | + | 29.0579i | −0.174615 | + | 0.990291i | ||||
\(862\) | 4.33976 | − | 7.51668i | 0.147813 | − | 0.256019i | ||||
\(863\) | 0.991588 | + | 1.71748i | 0.0337540 | + | 0.0584637i | 0.882409 | − | 0.470483i | \(-0.155920\pi\) |
−0.848655 | + | 0.528947i | \(0.822587\pi\) | |||||||
\(864\) | 1.64180 | − | 0.597566i | 0.0558552 | − | 0.0203296i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −0.652396 | − | 1.12998i | −0.0221693 | − | 0.0383984i | ||||
\(867\) | −0.817739 | + | 1.41636i | −0.0277719 | + | 0.0481023i | ||||
\(868\) | 0.916684 | − | 5.19878i | 0.0311143 | − | 0.176458i | ||||
\(869\) | 12.4730 | − | 10.4661i | 0.423116 | − | 0.355036i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.05374 | + | 22.9899i | 0.137356 | + | 0.778983i | ||||
\(872\) | 5.86958 | + | 2.13635i | 0.198769 | + | 0.0723460i | ||||
\(873\) | −17.1983 | −0.582074 | ||||||||
\(874\) | 33.4329 | − | 19.9884i | 1.13088 | − | 0.676117i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −12.2755 | − | 4.46792i | −0.414751 | − | 0.150957i | ||||
\(877\) | 1.55252 | + | 8.80479i | 0.0524250 | + | 0.297317i | 0.999735 | − | 0.0230000i | \(-0.00732178\pi\) |
−0.947311 | + | 0.320317i | \(0.896211\pi\) | |||||||
\(878\) | 17.7140 | + | 14.8638i | 0.597818 | + | 0.501629i | ||||
\(879\) | −12.5194 | + | 10.5050i | −0.422268 | + | 0.354325i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −17.8638 | + | 30.9409i | −0.601845 | + | 1.04243i | 0.390696 | + | 0.920520i | \(0.372234\pi\) |
−0.992542 | + | 0.121907i | \(0.961099\pi\) | |||||||
\(882\) | 0.743672 | + | 1.28808i | 0.0250407 | + | 0.0433718i | ||||
\(883\) | 44.9250 | − | 16.3514i | 1.51185 | − | 0.550268i | 0.552751 | − | 0.833346i | \(-0.313578\pi\) |
0.959097 | + | 0.283079i | \(0.0913558\pi\) | |||||||
\(884\) | 6.56076 | − | 2.38792i | 0.220662 | − | 0.0803145i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −15.9276 | + | 27.5874i | −0.535098 | + | 0.926816i | ||||
\(887\) | 2.55270 | − | 14.4771i | 0.0857112 | − | 0.486093i | −0.911490 | − | 0.411323i | \(-0.865067\pi\) |
0.997201 | − | 0.0747695i | \(-0.0238221\pi\) | |||||||
\(888\) | −5.07217 | + | 4.25606i | −0.170211 | + | 0.142824i | ||||
\(889\) | 27.5866 | + | 23.1479i | 0.925226 | + | 0.776357i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 24.3626 | + | 8.86724i | 0.816176 | + | 0.297064i | ||||
\(892\) | 19.8323 | 0.664035 | ||||||||
\(893\) | −15.4217 | − | 40.4409i | −0.516066 | − | 1.35330i | ||||
\(894\) | 4.74045 | 0.158544 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.480759 | + | 2.72652i | 0.0160610 | + | 0.0910866i | ||||
\(897\) | 27.1021 | + | 22.7413i | 0.904912 | + | 0.759311i | ||||
\(898\) | 25.6819 | − | 21.5497i | 0.857017 | − | 0.719123i | ||||
\(899\) | 1.47452 | − | 8.36242i | 0.0491780 | − | 0.278902i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 22.5605 | + | 39.0759i | 0.751598 | + | 1.30181i | ||||
\(902\) | −10.5966 | + | 3.85685i | −0.352829 | + | 0.128419i | ||||
\(903\) | −17.7194 | + | 6.44935i | −0.589666 | + | 0.214621i | ||||
\(904\) | 3.75261 | + | 6.49970i | 0.124810 | + | 0.216177i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.41276 | + | 8.01218i | −0.0469359 | + | 0.266187i | ||||
\(907\) | 37.1329 | − | 31.1582i | 1.23298 | − | 1.03459i | 0.234936 | − | 0.972011i | \(-0.424512\pi\) |
0.998040 | − | 0.0625793i | \(-0.0199326\pi\) | |||||||
\(908\) | 9.83181 | + | 8.24987i | 0.326280 | + | 0.273782i | ||||
\(909\) | −4.08095 | − | 23.1442i | −0.135356 | − | 0.767644i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −1.23529 | −0.0409271 | −0.0204635 | − | 0.999791i | \(-0.506514\pi\) | ||||
−0.0204635 | + | 0.999791i | \(0.506514\pi\) | |||||||
\(912\) | 3.55407 | + | 9.31997i | 0.117687 | + | 0.308615i | ||||
\(913\) | −41.0490 | −1.35852 | ||||||||
\(914\) | −2.64555 | − | 0.962902i | −0.0875070 | − | 0.0318500i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.80126 | − | 7.38514i | −0.290802 | − | 0.244012i | ||||
\(917\) | −9.97531 | + | 8.37028i | −0.329414 | + | 0.276411i | ||||
\(918\) | 1.22434 | − | 6.94358i | 0.0404093 | − | 0.229172i | ||||
\(919\) | 2.15131 | − | 3.72618i | 0.0709652 | − | 0.122915i | −0.828359 | − | 0.560197i | \(-0.810725\pi\) |
0.899325 | + | 0.437282i | \(0.144059\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 23.2702 | − | 8.46966i | 0.766780 | − | 0.279085i | ||||
\(922\) | −8.15670 | + | 2.96880i | −0.268627 | + | 0.0977721i | ||||
\(923\) | −11.5461 | − | 19.9984i | −0.380044 | − | 0.658255i | ||||
\(924\) | −7.66996 | + | 13.2848i | −0.252323 | + | 0.437036i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −14.5102 | + | 12.1755i | −0.476834 | + | 0.400111i | ||||
\(927\) | −17.6650 | − | 14.8227i | −0.580193 | − | 0.486840i | ||||
\(928\) | 0.773318 | + | 4.38571i | 0.0253854 | + | 0.143968i | ||||
\(929\) | −32.8280 | − | 11.9484i | −1.07705 | − | 0.392015i | −0.258242 | − | 0.966080i | \(-0.583143\pi\) |
−0.818810 | + | 0.574065i | \(0.805366\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.48805 | − | 1.48752i | 0.0815427 | − | 0.0487516i | ||||
\(932\) | 2.72893 | 0.0893892 | ||||||||
\(933\) | 56.6781 | + | 20.6291i | 1.85556 | + | 0.675368i | ||||
\(934\) | 0.858028 | + | 4.86612i | 0.0280755 | + | 0.159224i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.96409 | + | 2.48717i | −0.0968844 | + | 0.0812956i | ||||
\(937\) | −0.441335 | + | 2.50293i | −0.0144178 | + | 0.0817673i | −0.991168 | − | 0.132615i | \(-0.957663\pi\) |
0.976750 | + | 0.214382i | \(0.0687738\pi\) | |||||||
\(938\) | −18.6785 | + | 32.3521i | −0.609875 | + | 1.05633i | ||||
\(939\) | 34.5260 | + | 59.8007i | 1.12671 | + | 1.95152i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −19.8302 | + | 7.21759i | −0.646445 | + | 0.235287i | −0.644373 | − | 0.764711i | \(-0.722882\pi\) |
−0.00207156 | + | 0.999998i | \(0.500659\pi\) | |||||||
\(942\) | 10.5387 | + | 18.2535i | 0.343368 | + | 0.594731i | ||||
\(943\) | −20.8096 | + | 36.0433i | −0.677654 | + | 1.17373i | ||||
\(944\) | 0.350134 | − | 1.98571i | 0.0113959 | − | 0.0646293i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.52060 | − | 4.63234i | −0.179490 | − | 0.150610i | ||||
\(947\) | 6.77033 | + | 38.3965i | 0.220006 | + | 1.24772i | 0.872005 | + | 0.489497i | \(0.162820\pi\) |
−0.651999 | + | 0.758220i | \(0.726069\pi\) | |||||||
\(948\) | 14.4602 | + | 5.26310i | 0.469647 | + | 0.170938i | ||||
\(949\) | −9.87653 | −0.320606 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −27.3566 | −0.887099 | ||||||||
\(952\) | 10.4988 | + | 3.82126i | 0.340269 | + | 0.123848i | ||||
\(953\) | −3.79192 | − | 21.5051i | −0.122832 | − | 0.696618i | −0.982572 | − | 0.185884i | \(-0.940485\pi\) |
0.859739 | − | 0.510733i | \(-0.170626\pi\) | |||||||
\(954\) | −19.1558 | − | 16.0737i | −0.620194 | − | 0.520404i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 4.34565 | − | 24.6454i | 0.140548 | − | 0.797090i | ||||
\(957\) | −12.3374 | + | 21.3690i | −0.398812 | + | 0.690762i | ||||
\(958\) | −12.6714 | − | 21.9476i | −0.409396 | − | 0.709094i | ||||
\(959\) | 57.3228 | − | 20.8638i | 1.85105 | − | 0.673727i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.6822 | + | 23.6982i | 0.441360 | + | 0.764458i | ||||
\(962\) | −2.50300 | + | 4.33532i | −0.0806999 | + | 0.139776i | ||||
\(963\) | −2.73163 | + | 15.4919i | −0.0880256 | + | 0.499218i | ||||
\(964\) | 19.3202 | − | 16.2116i | 0.622262 | − | 0.522140i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 9.83117 | + | 55.7554i | 0.316313 | + | 1.79390i | ||||
\(967\) | 9.35186 | + | 3.40380i | 0.300736 | + | 0.109459i | 0.487981 | − | 0.872854i | \(-0.337734\pi\) |
−0.187245 | + | 0.982313i | \(0.559956\pi\) | |||||||
\(968\) | 5.13739 | 0.165122 | ||||||||
\(969\) | 39.7431 | + | 6.38447i | 1.27673 | + | 0.205099i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 17.9288 | + | 6.52554i | 0.575362 | + | 0.209415i | 0.613279 | − | 0.789866i | \(-0.289850\pi\) |
−0.0379172 | + | 0.999281i | \(0.512072\pi\) | |||||||
\(972\) | 3.34465 | + | 18.9684i | 0.107280 | + | 0.608413i | ||||
\(973\) | 27.7127 | + | 23.2537i | 0.888429 | + | 0.745480i | ||||
\(974\) | 15.2955 | − | 12.8345i | 0.490100 | − | 0.411243i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.35252 | + | 7.53878i | −0.139321 | + | 0.241310i | ||||
\(977\) | −5.51304 | − | 9.54886i | −0.176378 | − | 0.305495i | 0.764260 | − | 0.644909i | \(-0.223105\pi\) |
−0.940637 | + | 0.339414i | \(0.889771\pi\) | |||||||
\(978\) | 43.6710 | − | 15.8949i | 1.39644 | − | 0.508264i | ||||
\(979\) | −12.6335 | + | 4.59823i | −0.403770 | + | 0.146960i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.98487 | + | 12.0981i | −0.223010 | + | 0.386264i | ||||
\(982\) | 2.43814 | − | 13.8274i | 0.0778041 | − | 0.441249i | ||||
\(983\) | 3.85443 | − | 3.23425i | 0.122937 | − | 0.103157i | −0.579246 | − | 0.815153i | \(-0.696653\pi\) |
0.702184 | + | 0.711996i | \(0.252209\pi\) | |||||||
\(984\) | −8.16413 | − | 6.85052i | −0.260263 | − | 0.218387i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 16.8878 | + | 6.14664i | 0.537816 | + | 0.195749i | ||||
\(987\) | 62.9076 | 2.00237 | ||||||||
\(988\) | 4.93500 | + | 5.70239i | 0.157003 | + | 0.181417i | ||||
\(989\) | −26.5977 | −0.845759 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.36382 | − | 47.4336i | −0.265686 | − | 1.50678i | −0.767076 | − | 0.641556i | \(-0.778289\pi\) |
0.501390 | − | 0.865221i | \(-0.332822\pi\) | |||||||
\(992\) | 1.46065 | + | 1.22563i | 0.0463757 | + | 0.0389139i | ||||
\(993\) | 50.7699 | − | 42.6010i | 1.61113 | − | 1.35190i | ||||
\(994\) | 6.41684 | − | 36.3917i | 0.203530 | − | 1.15428i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −19.3976 | − | 33.5975i | −0.614635 | − | 1.06458i | ||||
\(997\) | 28.7745 | − | 10.4731i | 0.911298 | − | 0.331685i | 0.156527 | − | 0.987674i | \(-0.449970\pi\) |
0.754771 | + | 0.655988i | \(0.227748\pi\) | |||||||
\(998\) | −17.5118 | + | 6.37379i | −0.554327 | + | 0.201759i | ||||
\(999\) | 2.52769 | + | 4.37809i | 0.0799727 | + | 0.138517i |
(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 | 950.2.l.g.251.1 | 12 | ||
5.2 | odd | 4 | 950.2.u.f.99.1 | 24 | |||
5.3 | odd | 4 | 950.2.u.f.99.4 | 24 | |||
5.4 | even | 2 | 190.2.k.c.61.2 | ✓ | 12 | ||
19.5 | even | 9 | inner | 950.2.l.g.651.1 | 12 | ||
95.9 | even | 18 | 3610.2.a.bf.1.5 | 6 | |||
95.24 | even | 18 | 190.2.k.c.81.2 | yes | 12 | ||
95.29 | odd | 18 | 3610.2.a.bd.1.2 | 6 | |||
95.43 | odd | 36 | 950.2.u.f.499.1 | 24 | |||
95.62 | odd | 36 | 950.2.u.f.499.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.c.61.2 | ✓ | 12 | 5.4 | even | 2 | ||
190.2.k.c.81.2 | yes | 12 | 95.24 | even | 18 | ||
950.2.l.g.251.1 | 12 | 1.1 | even | 1 | trivial | ||
950.2.l.g.651.1 | 12 | 19.5 | even | 9 | inner | ||
950.2.u.f.99.1 | 24 | 5.2 | odd | 4 | |||
950.2.u.f.99.4 | 24 | 5.3 | odd | 4 | |||
950.2.u.f.499.1 | 24 | 95.43 | odd | 36 | |||
950.2.u.f.499.4 | 24 | 95.62 | odd | 36 | |||
3610.2.a.bd.1.2 | 6 | 95.29 | odd | 18 | |||
3610.2.a.bf.1.5 | 6 | 95.9 | even | 18 |