Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,2,Mod(17,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.l (of order \(20\), degree \(8\), 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: | \(1.19775603032\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 77.3 | ||
Character | \(\chi\) | \(=\) | 150.77 |
Dual form | 150.2.l.a.113.3 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.156434 | + | 0.987688i | −0.110616 | + | 0.698401i | ||||
\(3\) | −0.0929751 | − | 1.72955i | −0.0536792 | − | 0.998558i | ||||
\(4\) | −0.951057 | − | 0.309017i | −0.475528 | − | 0.154508i | ||||
\(5\) | 1.59953 | − | 1.56253i | 0.715332 | − | 0.698785i | ||||
\(6\) | 1.72280 | + | 0.178731i | 0.703332 | + | 0.0729668i | ||||
\(7\) | −3.45255 | − | 3.45255i | −1.30494 | − | 1.30494i | −0.925019 | − | 0.379921i | \(-0.875951\pi\) |
−0.379921 | − | 0.925019i | \(-0.624049\pi\) | |||||||
\(8\) | 0.453990 | − | 0.891007i | 0.160510 | − | 0.315018i | ||||
\(9\) | −2.98271 | + | 0.321611i | −0.994237 | + | 0.107204i | ||||
\(10\) | 1.29307 | + | 1.82427i | 0.408905 | + | 0.576885i | ||||
\(11\) | 1.48978 | + | 2.05051i | 0.449186 | + | 0.618252i | 0.972223 | − | 0.234059i | \(-0.0752007\pi\) |
−0.523036 | + | 0.852310i | \(0.675201\pi\) | |||||||
\(12\) | −0.446037 | + | 1.67363i | −0.128760 | + | 0.483137i | ||||
\(13\) | 3.77229 | − | 0.597472i | 1.04624 | − | 0.165709i | 0.390431 | − | 0.920632i | \(-0.372326\pi\) |
0.655813 | + | 0.754923i | \(0.272326\pi\) | |||||||
\(14\) | 3.95014 | − | 2.86994i | 1.05572 | − | 0.767025i | ||||
\(15\) | −2.85120 | − | 2.62120i | −0.736176 | − | 0.676790i | ||||
\(16\) | 0.809017 | + | 0.587785i | 0.202254 | + | 0.146946i | ||||
\(17\) | 4.27947 | + | 2.18050i | 1.03792 | + | 0.528848i | 0.887997 | − | 0.459849i | \(-0.152096\pi\) |
0.149926 | + | 0.988697i | \(0.452096\pi\) | |||||||
\(18\) | 0.148947 | − | 2.99630i | 0.0351073 | − | 0.706235i | ||||
\(19\) | 0.596005 | − | 0.193654i | 0.136733 | − | 0.0444272i | −0.239851 | − | 0.970810i | \(-0.577099\pi\) |
0.376584 | + | 0.926382i | \(0.377099\pi\) | |||||||
\(20\) | −2.00409 | + | 0.991774i | −0.448129 | + | 0.221767i | ||||
\(21\) | −5.65036 | + | 6.29237i | −1.23301 | + | 1.37311i | ||||
\(22\) | −2.25832 | + | 1.15067i | −0.481475 | + | 0.245324i | ||||
\(23\) | −0.643277 | − | 0.101885i | −0.134133 | − | 0.0212445i | 0.0890072 | − | 0.996031i | \(-0.471631\pi\) |
−0.223140 | + | 0.974786i | \(0.571631\pi\) | |||||||
\(24\) | −1.58325 | − | 0.702359i | −0.323180 | − | 0.143369i | ||||
\(25\) | 0.116992 | − | 4.99863i | 0.0233983 | − | 0.999726i | ||||
\(26\) | 3.81931i | 0.749028i | ||||||||
\(27\) | 0.833561 | + | 5.12886i | 0.160419 | + | 0.987049i | ||||
\(28\) | 2.21667 | + | 4.35046i | 0.418912 | + | 0.822160i | ||||
\(29\) | −2.50850 | + | 7.72038i | −0.465817 | + | 1.43364i | 0.392134 | + | 0.919908i | \(0.371737\pi\) |
−0.857952 | + | 0.513731i | \(0.828263\pi\) | |||||||
\(30\) | 3.03495 | − | 2.40605i | 0.554104 | − | 0.439283i | ||||
\(31\) | 0.501043 | + | 1.54205i | 0.0899899 | + | 0.276960i | 0.985916 | − | 0.167243i | \(-0.0534866\pi\) |
−0.895926 | + | 0.444204i | \(0.853487\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 3.40795 | − | 2.76731i | 0.593249 | − | 0.481726i | ||||
\(34\) | −2.82311 | + | 3.88568i | −0.484159 | + | 0.666388i | ||||
\(35\) | −10.9172 | − | 0.127739i | −1.84534 | − | 0.0215919i | ||||
\(36\) | 2.93611 | + | 0.615838i | 0.489352 | + | 0.102640i | ||||
\(37\) | −0.576743 | − | 3.64141i | −0.0948160 | − | 0.598644i | −0.988649 | − | 0.150244i | \(-0.951994\pi\) |
0.893833 | − | 0.448400i | \(-0.148006\pi\) | |||||||
\(38\) | 0.0980339 | + | 0.618961i | 0.0159032 | + | 0.100409i | ||||
\(39\) | −1.38409 | − | 6.46882i | −0.221631 | − | 1.03584i | ||||
\(40\) | −0.666054 | − | 2.13457i | −0.105312 | − | 0.337505i | ||||
\(41\) | 3.69305 | − | 5.08304i | 0.576757 | − | 0.793838i | −0.416578 | − | 0.909100i | \(-0.636771\pi\) |
0.993335 | + | 0.115262i | \(0.0367708\pi\) | |||||||
\(42\) | −5.33098 | − | 6.56514i | −0.822589 | − | 1.01302i | ||||
\(43\) | −0.951098 | + | 0.951098i | −0.145041 | + | 0.145041i | −0.775899 | − | 0.630858i | \(-0.782703\pi\) |
0.630858 | + | 0.775899i | \(0.282703\pi\) | |||||||
\(44\) | −0.783225 | − | 2.41052i | −0.118076 | − | 0.363399i | ||||
\(45\) | −4.26841 | + | 5.17501i | −0.636297 | + | 0.771444i | ||||
\(46\) | 0.201261 | − | 0.619419i | 0.0296744 | − | 0.0913283i | ||||
\(47\) | −1.95031 | − | 3.82769i | −0.284481 | − | 0.558326i | 0.703904 | − | 0.710295i | \(-0.251439\pi\) |
−0.988385 | + | 0.151969i | \(0.951439\pi\) | |||||||
\(48\) | 0.941388 | − | 1.45389i | 0.135878 | − | 0.209851i | ||||
\(49\) | 16.8402i | 2.40574i | ||||||||
\(50\) | 4.91879 | + | 0.897510i | 0.695622 | + | 0.126927i | ||||
\(51\) | 3.37340 | − | 7.60430i | 0.472371 | − | 1.06482i | ||||
\(52\) | −3.77229 | − | 0.597472i | −0.523122 | − | 0.0828544i | ||||
\(53\) | −0.456180 | + | 0.232435i | −0.0626611 | + | 0.0319274i | −0.485040 | − | 0.874492i | \(-0.661195\pi\) |
0.422379 | + | 0.906419i | \(0.361195\pi\) | |||||||
\(54\) | −5.19611 | + | 0.0209688i | −0.707101 | + | 0.00285349i | ||||
\(55\) | 5.58694 | + | 0.952020i | 0.753342 | + | 0.128370i | ||||
\(56\) | −4.64367 | + | 1.50882i | −0.620536 | + | 0.201624i | ||||
\(57\) | −0.390348 | − | 1.01282i | −0.0517029 | − | 0.134151i | ||||
\(58\) | −7.23291 | − | 3.68535i | −0.949728 | − | 0.483911i | ||||
\(59\) | 8.96720 | + | 6.51505i | 1.16743 | + | 0.848188i | 0.990699 | − | 0.136071i | \(-0.0434476\pi\) |
0.176731 | + | 0.984259i | \(0.443448\pi\) | |||||||
\(60\) | 1.90166 | + | 3.37397i | 0.245503 | + | 0.435578i | ||||
\(61\) | 3.22382 | − | 2.34224i | 0.412767 | − | 0.299893i | −0.361954 | − | 0.932196i | \(-0.617890\pi\) |
0.774721 | + | 0.632303i | \(0.217890\pi\) | |||||||
\(62\) | −1.60145 | + | 0.253644i | −0.203384 | + | 0.0322128i | ||||
\(63\) | 11.4083 | + | 9.18757i | 1.43731 | + | 1.15753i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | 5.10032 | − | 6.84999i | 0.632617 | − | 0.849637i | ||||
\(66\) | 2.20011 | + | 3.79890i | 0.270815 | + | 0.467612i | ||||
\(67\) | 1.95065 | − | 3.82837i | 0.238310 | − | 0.467710i | −0.740615 | − | 0.671929i | \(-0.765466\pi\) |
0.978925 | + | 0.204220i | \(0.0654658\pi\) | |||||||
\(68\) | −3.39620 | − | 3.39620i | −0.411850 | − | 0.411850i | ||||
\(69\) | −0.116407 | + | 1.12205i | −0.0140137 | + | 0.135080i | ||||
\(70\) | 1.83399 | − | 10.7628i | 0.219203 | − | 1.28640i | ||||
\(71\) | −0.917028 | − | 0.297960i | −0.108831 | − | 0.0353614i | 0.254095 | − | 0.967179i | \(-0.418222\pi\) |
−0.362926 | + | 0.931818i | \(0.618222\pi\) | |||||||
\(72\) | −1.06757 | + | 2.80362i | −0.125814 | + | 0.330410i | ||||
\(73\) | −1.21191 | + | 7.65167i | −0.141843 | + | 0.895561i | 0.809431 | + | 0.587215i | \(0.199776\pi\) |
−0.951274 | + | 0.308346i | \(0.900224\pi\) | |||||||
\(74\) | 3.68680 | 0.428582 | ||||||||
\(75\) | −8.65628 | + | 0.262405i | −0.999541 | + | 0.0302999i | ||||
\(76\) | −0.626677 | −0.0718848 | ||||||||
\(77\) | 1.93594 | − | 12.2230i | 0.220620 | − | 1.39294i | ||||
\(78\) | 6.60570 | − | 0.355101i | 0.747948 | − | 0.0402072i | ||||
\(79\) | 0.139017 | + | 0.0451693i | 0.0156406 | + | 0.00508194i | 0.316827 | − | 0.948483i | \(-0.397383\pi\) |
−0.301186 | + | 0.953565i | \(0.597383\pi\) | |||||||
\(80\) | 2.21248 | − | 0.323934i | 0.247363 | − | 0.0362170i | ||||
\(81\) | 8.79313 | − | 1.91855i | 0.977015 | − | 0.213172i | ||||
\(82\) | 4.44274 | + | 4.44274i | 0.490619 | + | 0.490619i | ||||
\(83\) | 3.59418 | − | 7.05397i | 0.394512 | − | 0.774274i | −0.605251 | − | 0.796035i | \(-0.706927\pi\) |
0.999763 | + | 0.0217608i | \(0.00692722\pi\) | |||||||
\(84\) | 7.31826 | − | 4.23834i | 0.798488 | − | 0.462440i | ||||
\(85\) | 10.2522 | − | 3.19903i | 1.11201 | − | 0.346984i | ||||
\(86\) | −0.790603 | − | 1.08817i | −0.0852530 | − | 0.117341i | ||||
\(87\) | 13.5860 | + | 3.62079i | 1.45658 | + | 0.388189i | ||||
\(88\) | 2.50336 | − | 0.396494i | 0.266860 | − | 0.0422664i | ||||
\(89\) | −8.93519 | + | 6.49179i | −0.947128 | + | 0.688129i | −0.950126 | − | 0.311867i | \(-0.899046\pi\) |
0.00299774 | + | 0.999996i | \(0.499046\pi\) | |||||||
\(90\) | −4.44357 | − | 5.02541i | −0.468393 | − | 0.529724i | ||||
\(91\) | −15.0868 | − | 10.9612i | −1.58153 | − | 1.14905i | ||||
\(92\) | 0.580309 | + | 0.295682i | 0.0605013 | + | 0.0308270i | ||||
\(93\) | 2.62047 | − | 1.00995i | 0.271731 | − | 0.104727i | ||||
\(94\) | 4.08566 | − | 1.32751i | 0.421404 | − | 0.136922i | ||||
\(95\) | 0.650738 | − | 1.24103i | 0.0667643 | − | 0.127327i | ||||
\(96\) | 1.28872 | + | 1.15724i | 0.131530 | + | 0.118110i | ||||
\(97\) | −13.5240 | + | 6.89084i | −1.37316 | + | 0.699659i | −0.975935 | − | 0.218063i | \(-0.930026\pi\) |
−0.397223 | + | 0.917722i | \(0.630026\pi\) | |||||||
\(98\) | −16.6328 | − | 2.63438i | −1.68017 | − | 0.266113i | ||||
\(99\) | −5.10306 | − | 5.63695i | −0.512877 | − | 0.566535i | ||||
\(100\) | −1.65593 | + | 4.71783i | −0.165593 | + | 0.471783i | ||||
\(101\) | 1.94974i | 0.194007i | 0.995284 | + | 0.0970033i | \(0.0309258\pi\) | ||||
−0.995284 | + | 0.0970033i | \(0.969074\pi\) | |||||||
\(102\) | 6.98296 | + | 4.52145i | 0.691416 | + | 0.447690i | ||||
\(103\) | −1.56955 | − | 3.08042i | −0.154653 | − | 0.303523i | 0.800661 | − | 0.599118i | \(-0.204482\pi\) |
−0.955313 | + | 0.295595i | \(0.904482\pi\) | |||||||
\(104\) | 1.18023 | − | 3.63238i | 0.115731 | − | 0.356184i | ||||
\(105\) | 0.794093 | + | 18.8937i | 0.0774955 | + | 1.84384i | ||||
\(106\) | −0.158211 | − | 0.486924i | −0.0153668 | − | 0.0472943i | ||||
\(107\) | −7.77089 | + | 7.77089i | −0.751240 | + | 0.751240i | −0.974711 | − | 0.223470i | \(-0.928261\pi\) |
0.223470 | + | 0.974711i | \(0.428261\pi\) | |||||||
\(108\) | 0.792140 | − | 5.13542i | 0.0762237 | − | 0.494156i | ||||
\(109\) | 10.4733 | − | 14.4153i | 1.00316 | − | 1.38073i | 0.0797938 | − | 0.996811i | \(-0.474574\pi\) |
0.923366 | − | 0.383920i | \(-0.125426\pi\) | |||||||
\(110\) | −1.81429 | + | 5.36922i | −0.172986 | + | 0.511935i | ||||
\(111\) | −6.24439 | + | 1.33607i | −0.592692 | + | 0.126814i | ||||
\(112\) | −0.763813 | − | 4.82253i | −0.0721735 | − | 0.455686i | ||||
\(113\) | 2.93571 | + | 18.5354i | 0.276169 | + | 1.74366i | 0.602240 | + | 0.798315i | \(0.294275\pi\) |
−0.326071 | + | 0.945345i | \(0.605725\pi\) | |||||||
\(114\) | 1.06141 | − | 0.227103i | 0.0994104 | − | 0.0212701i | ||||
\(115\) | −1.18814 | + | 0.842172i | −0.110795 | + | 0.0785330i | ||||
\(116\) | 4.77146 | − | 6.56735i | 0.443019 | − | 0.609763i | ||||
\(117\) | −11.0595 | + | 2.99529i | −1.02245 | + | 0.276915i | ||||
\(118\) | −7.83762 | + | 7.83762i | −0.721512 | + | 0.721512i | ||||
\(119\) | −7.24679 | − | 22.3033i | −0.664312 | − | 2.04454i | ||||
\(120\) | −3.62992 | + | 1.35044i | −0.331365 | + | 0.123278i | ||||
\(121\) | 1.41405 | − | 4.35199i | 0.128550 | − | 0.395636i | ||||
\(122\) | 1.80909 | + | 3.55053i | 0.163787 | + | 0.321450i | ||||
\(123\) | −9.13475 | − | 5.91472i | −0.823653 | − | 0.533313i | ||||
\(124\) | − | 1.62141i | − | 0.145607i | ||||||
\(125\) | −7.62339 | − | 8.17826i | −0.681856 | − | 0.731486i | ||||
\(126\) | −10.8591 | + | 9.83062i | −0.967407 | + | 0.875781i | ||||
\(127\) | 2.27911 | + | 0.360976i | 0.202239 | + | 0.0320315i | 0.256732 | − | 0.966483i | \(-0.417354\pi\) |
−0.0544931 | + | 0.998514i | \(0.517354\pi\) | |||||||
\(128\) | 0.891007 | − | 0.453990i | 0.0787546 | − | 0.0401275i | ||||
\(129\) | 1.73340 | + | 1.55655i | 0.152618 | + | 0.137046i | ||||
\(130\) | 5.96779 | + | 6.10910i | 0.523410 | + | 0.535803i | ||||
\(131\) | −5.16079 | + | 1.67684i | −0.450901 | + | 0.146506i | −0.525659 | − | 0.850695i | \(-0.676181\pi\) |
0.0747587 | + | 0.997202i | \(0.476181\pi\) | |||||||
\(132\) | −4.09630 | + | 1.57875i | −0.356537 | + | 0.137412i | ||||
\(133\) | −2.72633 | − | 1.38914i | −0.236403 | − | 0.120453i | ||||
\(134\) | 3.47608 | + | 2.52552i | 0.300288 | + | 0.218172i | ||||
\(135\) | 9.34731 | + | 6.90129i | 0.804488 | + | 0.593969i | ||||
\(136\) | 3.88568 | − | 2.82311i | 0.333194 | − | 0.242080i | ||||
\(137\) | −4.24769 | + | 0.672768i | −0.362904 | + | 0.0574784i | −0.335224 | − | 0.942138i | \(-0.608812\pi\) |
−0.0276803 | + | 0.999617i | \(0.508812\pi\) | |||||||
\(138\) | −1.09003 | − | 0.290502i | −0.0927895 | − | 0.0247292i | ||||
\(139\) | 1.72794 | + | 2.37830i | 0.146562 | + | 0.201725i | 0.875986 | − | 0.482337i | \(-0.160212\pi\) |
−0.729424 | + | 0.684062i | \(0.760212\pi\) | |||||||
\(140\) | 10.3434 | + | 3.49508i | 0.874174 | + | 0.295388i | ||||
\(141\) | −6.43887 | + | 3.72904i | −0.542251 | + | 0.314042i | ||||
\(142\) | 0.437747 | − | 0.859126i | 0.0367349 | − | 0.0720963i | ||||
\(143\) | 6.84501 | + | 6.84501i | 0.572408 | + | 0.572408i | ||||
\(144\) | −2.60210 | − | 1.49300i | −0.216842 | − | 0.124417i | ||||
\(145\) | 8.05091 | + | 16.2686i | 0.668592 | + | 1.35103i | ||||
\(146\) | −7.36789 | − | 2.39397i | −0.609771 | − | 0.198126i | ||||
\(147\) | 29.1260 | − | 1.56572i | 2.40227 | − | 0.129138i | ||||
\(148\) | −0.576743 | + | 3.64141i | −0.0474080 | + | 0.299322i | ||||
\(149\) | −6.09696 | −0.499482 | −0.249741 | − | 0.968313i | \(-0.580346\pi\) | ||||
−0.249741 | + | 0.968313i | \(0.580346\pi\) | |||||||
\(150\) | 1.09497 | − | 8.59075i | 0.0894036 | − | 0.701432i | ||||
\(151\) | 17.4743 | 1.42203 | 0.711017 | − | 0.703175i | \(-0.248235\pi\) | ||||
0.711017 | + | 0.703175i | \(0.248235\pi\) | |||||||
\(152\) | 0.0980339 | − | 0.618961i | 0.00795160 | − | 0.0502044i | ||||
\(153\) | −13.4657 | − | 5.12747i | −1.08864 | − | 0.414531i | ||||
\(154\) | 11.7697 | + | 3.82420i | 0.948429 | + | 0.308163i | ||||
\(155\) | 3.21094 | + | 1.68366i | 0.257909 | + | 0.135235i | ||||
\(156\) | −0.682630 | + | 6.57992i | −0.0546542 | + | 0.526815i | ||||
\(157\) | −1.62980 | − | 1.62980i | −0.130072 | − | 0.130072i | 0.639074 | − | 0.769146i | \(-0.279318\pi\) |
−0.769146 | + | 0.639074i | \(0.779318\pi\) | |||||||
\(158\) | −0.0663602 | + | 0.130239i | −0.00527934 | + | 0.0103613i | ||||
\(159\) | 0.444422 | + | 0.767377i | 0.0352450 | + | 0.0608569i | ||||
\(160\) | −0.0261619 | + | 2.23591i | −0.00206828 | + | 0.176765i | ||||
\(161\) | 1.86918 | + | 2.57271i | 0.147312 | + | 0.202758i | ||||
\(162\) | 0.519376 | + | 8.98500i | 0.0408060 | + | 0.705928i | ||||
\(163\) | −22.6112 | + | 3.58126i | −1.77105 | + | 0.280506i | −0.954811 | − | 0.297213i | \(-0.903943\pi\) |
−0.816235 | + | 0.577719i | \(0.803943\pi\) | |||||||
\(164\) | −5.08304 | + | 3.69305i | −0.396919 | + | 0.288378i | ||||
\(165\) | 1.12712 | − | 9.75142i | 0.0877464 | − | 0.759147i | ||||
\(166\) | 6.40487 | + | 4.65341i | 0.497114 | + | 0.361175i | ||||
\(167\) | 7.89344 | + | 4.02191i | 0.610813 | + | 0.311225i | 0.731895 | − | 0.681418i | \(-0.238636\pi\) |
−0.121082 | + | 0.992643i | \(0.538636\pi\) | |||||||
\(168\) | 3.04133 | + | 7.89119i | 0.234644 | + | 0.608818i | ||||
\(169\) | 1.50944 | − | 0.490448i | 0.116111 | − | 0.0377268i | ||||
\(170\) | 1.55584 | + | 10.6264i | 0.119328 | + | 0.815011i | ||||
\(171\) | −1.71543 | + | 0.769295i | −0.131182 | + | 0.0588295i | ||||
\(172\) | 1.19845 | − | 0.610642i | 0.0913812 | − | 0.0465610i | ||||
\(173\) | −16.2880 | − | 2.57976i | −1.23835 | − | 0.196136i | −0.497297 | − | 0.867580i | \(-0.665674\pi\) |
−0.741055 | + | 0.671445i | \(0.765674\pi\) | |||||||
\(174\) | −5.70154 | + | 12.8524i | −0.432232 | + | 0.974335i | ||||
\(175\) | −17.6619 | + | 16.8541i | −1.33512 | + | 1.27405i | ||||
\(176\) | 2.53457i | 0.191050i | ||||||||
\(177\) | 10.4344 | − | 16.1150i | 0.784298 | − | 1.21128i | ||||
\(178\) | −5.01410 | − | 9.84072i | −0.375823 | − | 0.737593i | ||||
\(179\) | −1.95323 | + | 6.01143i | −0.145991 | + | 0.449315i | −0.997137 | − | 0.0756142i | \(-0.975908\pi\) |
0.851146 | + | 0.524929i | \(0.175908\pi\) | |||||||
\(180\) | 5.65866 | − | 3.60271i | 0.421772 | − | 0.268530i | ||||
\(181\) | −5.79522 | − | 17.8358i | −0.430755 | − | 1.32573i | −0.897375 | − | 0.441269i | \(-0.854528\pi\) |
0.466620 | − | 0.884458i | \(-0.345472\pi\) | |||||||
\(182\) | 13.1863 | − | 13.1863i | 0.977437 | − | 0.977437i | ||||
\(183\) | −4.35076 | − | 5.35799i | −0.321618 | − | 0.396074i | ||||
\(184\) | −0.382822 | + | 0.526909i | −0.0282220 | + | 0.0388443i | ||||
\(185\) | −6.61234 | − | 4.92337i | −0.486149 | − | 0.361973i | ||||
\(186\) | 0.587586 | + | 2.74620i | 0.0430839 | + | 0.201361i | ||||
\(187\) | 1.90434 | + | 12.0236i | 0.139259 | + | 0.879250i | ||||
\(188\) | 0.672030 | + | 4.24303i | 0.0490128 | + | 0.309455i | ||||
\(189\) | 14.8297 | − | 20.5855i | 1.07870 | − | 1.49738i | ||||
\(190\) | 1.12395 | + | 0.836866i | 0.0815402 | + | 0.0607127i | ||||
\(191\) | −9.23596 | + | 12.7122i | −0.668290 | + | 0.919823i | −0.999720 | − | 0.0236572i | \(-0.992469\pi\) |
0.331430 | + | 0.943480i | \(0.392469\pi\) | |||||||
\(192\) | −1.34459 | + | 1.09182i | −0.0970373 | + | 0.0787956i | ||||
\(193\) | 1.83504 | − | 1.83504i | 0.132089 | − | 0.132089i | −0.637971 | − | 0.770060i | \(-0.720226\pi\) |
0.770060 | + | 0.637971i | \(0.220226\pi\) | |||||||
\(194\) | −4.69038 | − | 14.4355i | −0.336749 | − | 1.03641i | ||||
\(195\) | −12.3216 | − | 8.18439i | −0.882370 | − | 0.586097i | ||||
\(196\) | 5.20390 | − | 16.0159i | 0.371707 | − | 1.14400i | ||||
\(197\) | −2.63453 | − | 5.17056i | −0.187703 | − | 0.368387i | 0.777909 | − | 0.628377i | \(-0.216281\pi\) |
−0.965611 | + | 0.259990i | \(0.916281\pi\) | |||||||
\(198\) | 6.36584 | − | 4.15842i | 0.452401 | − | 0.295526i | ||||
\(199\) | − | 3.86400i | − | 0.273911i | −0.990577 | − | 0.136956i | \(-0.956268\pi\) | ||
0.990577 | − | 0.136956i | \(-0.0437318\pi\) | |||||||
\(200\) | −4.40070 | − | 2.37357i | −0.311176 | − | 0.167837i | ||||
\(201\) | −6.80273 | − | 3.01781i | −0.479827 | − | 0.212860i | ||||
\(202\) | −1.92574 | − | 0.305007i | −0.135494 | − | 0.0214602i | ||||
\(203\) | 35.3157 | − | 17.9942i | 2.47868 | − | 1.26295i | ||||
\(204\) | −5.55816 | + | 6.18968i | −0.389149 | + | 0.433364i | ||||
\(205\) | −2.03527 | − | 13.9010i | −0.142150 | − | 0.970886i | ||||
\(206\) | 3.28803 | − | 1.06835i | 0.229088 | − | 0.0744352i | ||||
\(207\) | 1.95148 | + | 0.0970088i | 0.135637 | + | 0.00674258i | ||||
\(208\) | 3.40303 | + | 1.73393i | 0.235958 | + | 0.120226i | ||||
\(209\) | 1.28501 | + | 0.933612i | 0.0888858 | + | 0.0645793i | ||||
\(210\) | −18.7853 | − | 2.17131i | −1.29631 | − | 0.149835i | ||||
\(211\) | −8.84519 | + | 6.42640i | −0.608928 | + | 0.442412i | −0.849037 | − | 0.528334i | \(-0.822817\pi\) |
0.240109 | + | 0.970746i | \(0.422817\pi\) | |||||||
\(212\) | 0.505679 | − | 0.0800917i | 0.0347302 | − | 0.00550072i | ||||
\(213\) | −0.430078 | + | 1.61375i | −0.0294684 | + | 0.110572i | ||||
\(214\) | −6.45958 | − | 8.89085i | −0.441568 | − | 0.607766i | ||||
\(215\) | −0.0351892 | + | 3.00743i | −0.00239989 | + | 0.205105i | ||||
\(216\) | 4.94827 | + | 1.58574i | 0.336687 | + | 0.107896i | ||||
\(217\) | 3.59413 | − | 7.05388i | 0.243985 | − | 0.478848i | ||||
\(218\) | 12.5994 | + | 12.5994i | 0.853339 | + | 0.853339i | ||||
\(219\) | 13.3467 | + | 1.38464i | 0.901884 | + | 0.0935654i | ||||
\(220\) | −5.01930 | − | 2.63188i | −0.338401 | − | 0.177442i | ||||
\(221\) | 17.4462 | + | 5.66860i | 1.17356 | + | 0.381311i | ||||
\(222\) | −0.342781 | − | 6.37652i | −0.0230059 | − | 0.427964i | ||||
\(223\) | −3.05289 | + | 19.2752i | −0.204437 | + | 1.29076i | 0.645452 | + | 0.763800i | \(0.276669\pi\) |
−0.849889 | + | 0.526962i | \(0.823331\pi\) | |||||||
\(224\) | 4.88264 | 0.326235 | ||||||||
\(225\) | 1.25866 | + | 14.9471i | 0.0839108 | + | 0.996473i | ||||
\(226\) | −18.7664 | −1.24832 | ||||||||
\(227\) | −3.87090 | + | 24.4399i | −0.256921 | + | 1.62213i | 0.435187 | + | 0.900340i | \(0.356682\pi\) |
−0.692108 | + | 0.721794i | \(0.743318\pi\) | |||||||
\(228\) | 0.0582654 | + | 1.08387i | 0.00385872 | + | 0.0717811i | ||||
\(229\) | 2.89806 | + | 0.941635i | 0.191509 | + | 0.0622250i | 0.403201 | − | 0.915111i | \(-0.367897\pi\) |
−0.211692 | + | 0.977336i | \(0.567897\pi\) | |||||||
\(230\) | −0.645938 | − | 1.30526i | −0.0425919 | − | 0.0860660i | ||||
\(231\) | −21.3204 | − | 2.21187i | −1.40278 | − | 0.145530i | ||||
\(232\) | 5.74007 | + | 5.74007i | 0.376854 | + | 0.376854i | ||||
\(233\) | 8.40887 | − | 16.5033i | 0.550883 | − | 1.08117i | −0.432839 | − | 0.901471i | \(-0.642488\pi\) |
0.983722 | − | 0.179698i | \(-0.0575120\pi\) | |||||||
\(234\) | −1.22833 | − | 11.3919i | −0.0802985 | − | 0.744712i | ||||
\(235\) | −9.10046 | − | 3.07509i | −0.593649 | − | 0.200597i | ||||
\(236\) | −6.51505 | − | 8.96720i | −0.424094 | − | 0.583715i | ||||
\(237\) | 0.0651976 | − | 0.244637i | 0.00423504 | − | 0.0158909i | ||||
\(238\) | 23.1624 | − | 3.66856i | 1.50139 | − | 0.237798i | ||||
\(239\) | 10.8076 | − | 7.85218i | 0.699086 | − | 0.507915i | −0.180549 | − | 0.983566i | \(-0.557787\pi\) |
0.879634 | + | 0.475651i | \(0.157787\pi\) | |||||||
\(240\) | −0.765967 | − | 3.79648i | −0.0494430 | − | 0.245062i | ||||
\(241\) | 4.13071 | + | 3.00113i | 0.266082 | + | 0.193320i | 0.712824 | − | 0.701343i | \(-0.247416\pi\) |
−0.446742 | + | 0.894663i | \(0.647416\pi\) | |||||||
\(242\) | 4.07721 | + | 2.07744i | 0.262093 | + | 0.133543i | ||||
\(243\) | −4.13577 | − | 15.0298i | −0.265310 | − | 0.964163i | ||||
\(244\) | −3.78982 | + | 1.23139i | −0.242618 | + | 0.0788315i | ||||
\(245\) | 26.3133 | + | 26.9363i | 1.68109 | + | 1.72090i | ||||
\(246\) | 7.27090 | − | 8.09702i | 0.463575 | − | 0.516247i | ||||
\(247\) | 2.13260 | − | 1.08661i | 0.135694 | − | 0.0691396i | ||||
\(248\) | 1.60145 | + | 0.253644i | 0.101692 | + | 0.0161064i | ||||
\(249\) | −12.5344 | − | 5.56048i | −0.794335 | − | 0.352381i | ||||
\(250\) | 9.27014 | − | 6.25017i | 0.586295 | − | 0.395295i | ||||
\(251\) | − | 10.4406i | − | 0.659004i | −0.944155 | − | 0.329502i | \(-0.893119\pi\) | ||
0.944155 | − | 0.329502i | \(-0.106881\pi\) | |||||||
\(252\) | −8.01085 | − | 12.2633i | −0.504636 | − | 0.772513i | ||||
\(253\) | −0.749426 | − | 1.47083i | −0.0471160 | − | 0.0924704i | ||||
\(254\) | −0.713064 | + | 2.19459i | −0.0447416 | + | 0.137701i | ||||
\(255\) | −6.48610 | − | 17.4344i | −0.406175 | − | 1.09178i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 15.7777 | − | 15.7777i | 0.984185 | − | 0.984185i | −0.0156919 | − | 0.999877i | \(-0.504995\pi\) |
0.999877 | + | 0.0156919i | \(0.00499509\pi\) | |||||||
\(258\) | −1.80855 | + | 1.46856i | −0.112595 | + | 0.0914288i | ||||
\(259\) | −10.5809 | + | 14.5634i | −0.657466 | + | 0.904924i | ||||
\(260\) | −6.96745 | + | 4.93864i | −0.432103 | + | 0.306282i | ||||
\(261\) | 4.99918 | − | 23.8344i | 0.309442 | − | 1.47531i | ||||
\(262\) | −0.848873 | − | 5.35957i | −0.0524435 | − | 0.331115i | ||||
\(263\) | 2.08135 | + | 13.1411i | 0.128342 | + | 0.810318i | 0.964934 | + | 0.262492i | \(0.0845444\pi\) |
−0.836592 | + | 0.547826i | \(0.815456\pi\) | |||||||
\(264\) | −0.918508 | − | 4.29284i | −0.0565303 | − | 0.264206i | ||||
\(265\) | −0.366486 | + | 1.08458i | −0.0225130 | + | 0.0666254i | ||||
\(266\) | 1.79853 | − | 2.47546i | 0.110275 | − | 0.151780i | ||||
\(267\) | 12.0587 | + | 14.8503i | 0.737978 | + | 0.908824i | ||||
\(268\) | −3.03821 | + | 3.03821i | −0.185588 | + | 0.185588i | ||||
\(269\) | 2.51822 | + | 7.75028i | 0.153539 | + | 0.472543i | 0.998010 | − | 0.0630577i | \(-0.0200852\pi\) |
−0.844471 | + | 0.535601i | \(0.820085\pi\) | |||||||
\(270\) | −8.27857 | + | 8.15262i | −0.503818 | + | 0.496153i | ||||
\(271\) | −2.73922 | + | 8.43044i | −0.166396 | + | 0.512113i | −0.999136 | − | 0.0415500i | \(-0.986770\pi\) |
0.832741 | + | 0.553663i | \(0.186770\pi\) | |||||||
\(272\) | 2.18050 | + | 4.27947i | 0.132212 | + | 0.259481i | ||||
\(273\) | −17.5553 | + | 27.1125i | −1.06249 | + | 1.64093i | ||||
\(274\) | − | 4.30064i | − | 0.259811i | ||||||
\(275\) | 10.4240 | − | 7.20698i | 0.628593 | − | 0.434597i | ||||
\(276\) | 0.457444 | − | 1.03117i | 0.0275349 | − | 0.0620689i | ||||
\(277\) | 12.0346 | + | 1.90609i | 0.723088 | + | 0.114526i | 0.507121 | − | 0.861875i | \(-0.330710\pi\) |
0.215967 | + | 0.976401i | \(0.430710\pi\) | |||||||
\(278\) | −2.61933 | + | 1.33461i | −0.157097 | + | 0.0800448i | ||||
\(279\) | −1.99041 | − | 4.43835i | −0.119162 | − | 0.265717i | ||||
\(280\) | −5.07011 | + | 9.66927i | −0.302997 | + | 0.577850i | ||||
\(281\) | 1.89696 | − | 0.616361i | 0.113163 | − | 0.0367690i | −0.251888 | − | 0.967756i | \(-0.581051\pi\) |
0.365051 | + | 0.930987i | \(0.381051\pi\) | |||||||
\(282\) | −2.67587 | − | 6.94295i | −0.159346 | − | 0.413446i | ||||
\(283\) | 1.85853 | + | 0.946967i | 0.110478 | + | 0.0562913i | 0.508356 | − | 0.861147i | \(-0.330253\pi\) |
−0.397878 | + | 0.917438i | \(0.630253\pi\) | |||||||
\(284\) | 0.780070 | + | 0.566754i | 0.0462887 | + | 0.0336307i | ||||
\(285\) | −2.20693 | − | 1.01010i | −0.130727 | − | 0.0598332i | ||||
\(286\) | −7.83153 | + | 5.68994i | −0.463088 | + | 0.336453i | ||||
\(287\) | −30.2999 | + | 4.79903i | −1.78854 | + | 0.283278i | ||||
\(288\) | 1.88168 | − | 2.33651i | 0.110879 | − | 0.137680i | ||||
\(289\) | 3.56692 | + | 4.90945i | 0.209819 | + | 0.288791i | ||||
\(290\) | −17.3277 | + | 5.40682i | −1.01752 | + | 0.317499i | ||||
\(291\) | 13.1755 | + | 22.7499i | 0.772360 | + | 1.33362i | ||||
\(292\) | 3.51709 | − | 6.90267i | 0.205822 | − | 0.403948i | ||||
\(293\) | −14.1457 | − | 14.1457i | −0.826402 | − | 0.826402i | 0.160615 | − | 0.987017i | \(-0.448652\pi\) |
−0.987017 | + | 0.160615i | \(0.948652\pi\) | |||||||
\(294\) | −3.00986 | + | 29.0123i | −0.175539 | + | 1.69203i | ||||
\(295\) | 24.5233 | − | 3.59051i | 1.42780 | − | 0.209048i | ||||
\(296\) | −3.50636 | − | 1.13928i | −0.203803 | − | 0.0662196i | ||||
\(297\) | −9.27495 | + | 9.35011i | −0.538187 | + | 0.542548i | ||||
\(298\) | 0.953774 | − | 6.02189i | 0.0552507 | − | 0.348839i | ||||
\(299\) | −2.48750 | −0.143856 | ||||||||
\(300\) | 8.31370 | + | 2.42537i | 0.479992 | + | 0.140029i | ||||
\(301\) | 6.56742 | 0.378540 | ||||||||
\(302\) | −2.73358 | + | 17.2591i | −0.157300 | + | 0.993151i | ||||
\(303\) | 3.37218 | − | 0.181278i | 0.193727 | − | 0.0104141i | ||||
\(304\) | 0.596005 | + | 0.193654i | 0.0341832 | + | 0.0111068i | ||||
\(305\) | 1.49677 | − | 8.78379i | 0.0857046 | − | 0.502959i | ||||
\(306\) | 7.17084 | − | 12.4978i | 0.409930 | − | 0.714451i | ||||
\(307\) | 6.59880 | + | 6.59880i | 0.376613 | + | 0.376613i | 0.869879 | − | 0.493266i | \(-0.164197\pi\) |
−0.493266 | + | 0.869879i | \(0.664197\pi\) | |||||||
\(308\) | −5.61831 | + | 11.0265i | −0.320133 | + | 0.628296i | ||||
\(309\) | −5.18183 | + | 3.00103i | −0.294784 | + | 0.170723i | ||||
\(310\) | −2.16523 | + | 2.90802i | −0.122977 | + | 0.165164i | ||||
\(311\) | 4.60146 | + | 6.33337i | 0.260925 | + | 0.359133i | 0.919300 | − | 0.393558i | \(-0.128756\pi\) |
−0.658375 | + | 0.752690i | \(0.728756\pi\) | |||||||
\(312\) | −6.39213 | − | 1.70355i | −0.361883 | − | 0.0964447i | ||||
\(313\) | −2.82529 | + | 0.447482i | −0.159695 | + | 0.0252932i | −0.235770 | − | 0.971809i | \(-0.575761\pi\) |
0.0760751 | + | 0.997102i | \(0.475761\pi\) | |||||||
\(314\) | 1.86469 | − | 1.35478i | 0.105231 | − | 0.0764545i | ||||
\(315\) | 32.6038 | − | 3.13007i | 1.83702 | − | 0.176359i | ||||
\(316\) | −0.118255 | − | 0.0859171i | −0.00665235 | − | 0.00483322i | ||||
\(317\) | −22.7876 | − | 11.6109i | −1.27988 | − | 0.652131i | −0.324046 | − | 0.946041i | \(-0.605043\pi\) |
−0.955833 | + | 0.293910i | \(0.905043\pi\) | |||||||
\(318\) | −0.827452 | + | 0.318907i | −0.0464012 | + | 0.0178834i | ||||
\(319\) | −19.5678 | + | 6.35798i | −1.09559 | + | 0.355978i | ||||
\(320\) | −2.20429 | − | 0.375614i | −0.123224 | − | 0.0209975i | ||||
\(321\) | 14.1627 | + | 12.7177i | 0.790483 | + | 0.709831i | ||||
\(322\) | −2.83344 | + | 1.44371i | −0.157901 | + | 0.0804547i | ||||
\(323\) | 2.97285 | + | 0.470853i | 0.165414 | + | 0.0261989i | ||||
\(324\) | −8.95563 | − | 0.892583i | −0.497535 | − | 0.0495879i | ||||
\(325\) | −2.54521 | − | 18.9262i | −0.141183 | − | 1.04984i | ||||
\(326\) | − | 22.8931i | − | 1.26793i | ||||||
\(327\) | −25.9057 | − | 16.7739i | −1.43259 | − | 0.927597i | ||||
\(328\) | −2.85242 | − | 5.59818i | −0.157498 | − | 0.309108i | ||||
\(329\) | −6.48176 | + | 19.9488i | −0.357351 | + | 1.09981i | ||||
\(330\) | 9.45504 | + | 2.63870i | 0.520483 | + | 0.145256i | ||||
\(331\) | 9.88000 | + | 30.4075i | 0.543054 | + | 1.67135i | 0.725572 | + | 0.688146i | \(0.241575\pi\) |
−0.182518 | + | 0.983203i | \(0.558425\pi\) | |||||||
\(332\) | −5.59806 | + | 5.59806i | −0.307234 | + | 0.307234i | ||||
\(333\) | 2.89138 | + | 10.6758i | 0.158446 | + | 0.585030i | ||||
\(334\) | −5.20720 | + | 7.16710i | −0.284925 | + | 0.392166i | ||||
\(335\) | −2.86182 | − | 9.17154i | −0.156358 | − | 0.501095i | ||||
\(336\) | −8.26980 | + | 1.76943i | −0.451155 | + | 0.0965303i | ||||
\(337\) | −2.91531 | − | 18.4065i | −0.158807 | − | 1.00267i | −0.930399 | − | 0.366549i | \(-0.880539\pi\) |
0.771592 | − | 0.636118i | \(-0.219461\pi\) | |||||||
\(338\) | 0.248281 | + | 1.56758i | 0.0135047 | + | 0.0852653i | ||||
\(339\) | 31.7850 | − | 6.80080i | 1.72632 | − | 0.369369i | ||||
\(340\) | −10.7390 | − | 0.125655i | −0.582404 | − | 0.00681458i | ||||
\(341\) | −2.41555 | + | 3.32471i | −0.130809 | + | 0.180043i | ||||
\(342\) | −0.491471 | − | 1.81465i | −0.0265757 | − | 0.0981253i | ||||
\(343\) | 33.9736 | − | 33.9736i | 1.83440 | − | 1.83440i | ||||
\(344\) | 0.415645 | + | 1.27922i | 0.0224101 | + | 0.0689711i | ||||
\(345\) | 1.56705 | + | 1.97665i | 0.0843671 | + | 0.106419i | ||||
\(346\) | 5.09600 | − | 15.6839i | 0.273963 | − | 0.843170i | ||||
\(347\) | −10.8108 | − | 21.2173i | −0.580353 | − | 1.13901i | −0.975420 | − | 0.220354i | \(-0.929279\pi\) |
0.395067 | − | 0.918652i | \(-0.370721\pi\) | |||||||
\(348\) | −11.8022 | − | 7.64189i | −0.632665 | − | 0.409648i | ||||
\(349\) | − | 8.63569i | − | 0.462258i | −0.972923 | − | 0.231129i | \(-0.925758\pi\) | ||
0.972923 | − | 0.231129i | \(-0.0742419\pi\) | |||||||
\(350\) | −13.8837 | − | 20.0810i | −0.742112 | − | 1.07338i | ||||
\(351\) | 6.20878 | + | 18.8495i | 0.331400 | + | 1.00611i | ||||
\(352\) | −2.50336 | − | 0.396494i | −0.133430 | − | 0.0211332i | ||||
\(353\) | −25.4664 | + | 12.9758i | −1.35544 | + | 0.690631i | −0.972448 | − | 0.233120i | \(-0.925106\pi\) |
−0.382992 | + | 0.923751i | \(0.625106\pi\) | |||||||
\(354\) | 14.2843 | + | 12.8269i | 0.759202 | + | 0.681741i | ||||
\(355\) | −1.93239 | + | 0.956288i | −0.102560 | + | 0.0507545i | ||||
\(356\) | 10.5039 | − | 3.41294i | 0.556708 | − | 0.180885i | ||||
\(357\) | −37.9010 | + | 14.6074i | −2.00594 | + | 0.773104i | ||||
\(358\) | −5.63186 | − | 2.86958i | −0.297653 | − | 0.151662i | ||||
\(359\) | 6.72833 | + | 4.88842i | 0.355108 | + | 0.258001i | 0.751009 | − | 0.660292i | \(-0.229568\pi\) |
−0.395901 | + | 0.918293i | \(0.629568\pi\) | |||||||
\(360\) | 2.67315 | + | 6.15258i | 0.140887 | + | 0.324270i | ||||
\(361\) | −15.0536 | + | 10.9371i | −0.792295 | + | 0.575636i | ||||
\(362\) | 18.5228 | − | 2.93373i | 0.973538 | − | 0.154193i | ||||
\(363\) | −7.65848 | − | 2.04105i | −0.401966 | − | 0.107127i | ||||
\(364\) | 10.9612 | + | 15.0868i | 0.574523 | + | 0.790763i | ||||
\(365\) | 10.0175 | + | 14.1327i | 0.524340 | + | 0.739741i | ||||
\(366\) | 5.97263 | − | 3.45902i | 0.312195 | − | 0.180806i | ||||
\(367\) | −7.05620 | + | 13.8486i | −0.368331 | + | 0.722889i | −0.998567 | − | 0.0535138i | \(-0.982958\pi\) |
0.630237 | + | 0.776403i | \(0.282958\pi\) | |||||||
\(368\) | −0.460535 | − | 0.460535i | −0.0240071 | − | 0.0240071i | ||||
\(369\) | −9.38053 | + | 16.3490i | −0.488331 | + | 0.851093i | ||||
\(370\) | 5.89715 | − | 5.76074i | 0.306578 | − | 0.299487i | ||||
\(371\) | 2.37748 | + | 0.772489i | 0.123432 | + | 0.0401056i | ||||
\(372\) | −2.80431 | + | 0.150751i | −0.145397 | + | 0.00781606i | ||||
\(373\) | 2.33980 | − | 14.7729i | 0.121150 | − | 0.764912i | −0.850060 | − | 0.526686i | \(-0.823434\pi\) |
0.971210 | − | 0.238225i | \(-0.0765657\pi\) | |||||||
\(374\) | −12.1734 | −0.629473 | ||||||||
\(375\) | −13.4360 | + | 13.9454i | −0.693830 | + | 0.720139i | ||||
\(376\) | −4.29592 | −0.221545 | ||||||||
\(377\) | −4.85009 | + | 30.6223i | −0.249792 | + | 1.57713i | ||||
\(378\) | 18.0122 | + | 17.8674i | 0.926448 | + | 0.919001i | ||||
\(379\) | 5.98428 | + | 1.94441i | 0.307392 | + | 0.0998776i | 0.458651 | − | 0.888617i | \(-0.348333\pi\) |
−0.151259 | + | 0.988494i | \(0.548333\pi\) | |||||||
\(380\) | −1.00239 | + | 0.979202i | −0.0514214 | + | 0.0502320i | ||||
\(381\) | 0.412427 | − | 3.97541i | 0.0211293 | − | 0.203667i | ||||
\(382\) | −11.1109 | − | 11.1109i | −0.568482 | − | 0.568482i | ||||
\(383\) | −5.34769 | + | 10.4954i | −0.273254 | + | 0.536292i | −0.986327 | − | 0.164798i | \(-0.947303\pi\) |
0.713073 | + | 0.701090i | \(0.247303\pi\) | |||||||
\(384\) | −0.868042 | − | 1.49883i | −0.0442971 | − | 0.0764870i | ||||
\(385\) | −16.0023 | − | 22.5761i | −0.815551 | − | 1.15058i | ||||
\(386\) | 1.52538 | + | 2.09951i | 0.0776400 | + | 0.106862i | ||||
\(387\) | 2.53097 | − | 3.14273i | 0.128656 | − | 0.159754i | ||||
\(388\) | 14.9915 | − | 2.37442i | 0.761078 | − | 0.120543i | ||||
\(389\) | −19.3894 | + | 14.0872i | −0.983082 | + | 0.714251i | −0.958395 | − | 0.285444i | \(-0.907859\pi\) |
−0.0246869 | + | 0.999695i | \(0.507859\pi\) | |||||||
\(390\) | 10.0112 | − | 10.8896i | 0.506935 | − | 0.551417i | ||||
\(391\) | −2.53072 | − | 1.83868i | −0.127984 | − | 0.0929859i | ||||
\(392\) | 15.0047 | + | 7.64527i | 0.757851 | + | 0.386145i | ||||
\(393\) | 3.38002 | + | 8.76996i | 0.170499 | + | 0.442386i | ||||
\(394\) | 5.51903 | − | 1.79324i | 0.278045 | − | 0.0903423i | ||||
\(395\) | 0.292940 | − | 0.144969i | 0.0147394 | − | 0.00729416i | ||||
\(396\) | 3.11138 | + | 6.93799i | 0.156353 | + | 0.348647i | ||||
\(397\) | −7.12795 | + | 3.63187i | −0.357741 | + | 0.182278i | −0.623619 | − | 0.781728i | \(-0.714338\pi\) |
0.265878 | + | 0.964007i | \(0.414338\pi\) | |||||||
\(398\) | 3.81642 | + | 0.604462i | 0.191300 | + | 0.0302989i | ||||
\(399\) | −2.14911 | + | 4.84450i | −0.107590 | + | 0.242528i | ||||
\(400\) | 3.03277 | − | 3.97521i | 0.151638 | − | 0.198761i | ||||
\(401\) | − | 5.93714i | − | 0.296487i | −0.988951 | − | 0.148243i | \(-0.952638\pi\) | ||
0.988951 | − | 0.148243i | \(-0.0473619\pi\) | |||||||
\(402\) | 4.04484 | − | 6.24689i | 0.201738 | − | 0.311566i | ||||
\(403\) | 2.81141 | + | 5.51770i | 0.140046 | + | 0.274856i | ||||
\(404\) | 0.602504 | − | 1.85432i | 0.0299757 | − | 0.0922557i | ||||
\(405\) | 11.0671 | − | 16.8083i | 0.549928 | − | 0.835212i | ||||
\(406\) | 12.2481 | + | 37.6958i | 0.607864 | + | 1.87081i | ||||
\(407\) | 6.60753 | − | 6.60753i | 0.327523 | − | 0.327523i | ||||
\(408\) | −5.24399 | − | 6.45800i | −0.259616 | − | 0.319719i | ||||
\(409\) | 12.3971 | − | 17.0631i | 0.612995 | − | 0.843715i | −0.383825 | − | 0.923406i | \(-0.625393\pi\) |
0.996820 | + | 0.0796911i | \(0.0253934\pi\) | |||||||
\(410\) | 14.0482 | + | 0.164375i | 0.693792 | + | 0.00811790i | ||||
\(411\) | 1.55852 | + | 7.28405i | 0.0768760 | + | 0.359296i | ||||
\(412\) | 0.540832 | + | 3.41468i | 0.0266449 | + | 0.168229i | ||||
\(413\) | −8.46616 | − | 53.4532i | −0.416592 | − | 2.63026i | ||||
\(414\) | −0.401093 | + | 1.91228i | −0.0197126 | + | 0.0939832i | ||||
\(415\) | −5.27306 | − | 16.8991i | −0.258844 | − | 0.829542i | ||||
\(416\) | −2.24493 | + | 3.08989i | −0.110067 | + | 0.151494i | ||||
\(417\) | 3.95274 | − | 3.20968i | 0.193567 | − | 0.157179i | ||||
\(418\) | −1.12314 | + | 1.12314i | −0.0549344 | + | 0.0549344i | ||||
\(419\) | −11.8698 | − | 36.5316i | −0.579880 | − | 1.78469i | −0.618926 | − | 0.785450i | \(-0.712432\pi\) |
0.0390457 | − | 0.999237i | \(-0.487568\pi\) | |||||||
\(420\) | 5.08325 | − | 18.2144i | 0.248037 | − | 0.888770i | ||||
\(421\) | −5.24894 | + | 16.1546i | −0.255818 | + | 0.787326i | 0.737850 | + | 0.674965i | \(0.235841\pi\) |
−0.993667 | + | 0.112361i | \(0.964159\pi\) | |||||||
\(422\) | −4.96359 | − | 9.74160i | −0.241624 | − | 0.474214i | ||||
\(423\) | 7.04823 | + | 10.7897i | 0.342697 | + | 0.524611i | ||||
\(424\) | 0.511982i | 0.0248641i | ||||||||
\(425\) | 11.4002 | − | 21.1364i | 0.552989 | − | 1.02526i | ||||
\(426\) | −1.52660 | − | 0.677229i | −0.0739642 | − | 0.0328119i | ||||
\(427\) | −19.2171 | − | 3.04368i | −0.929979 | − | 0.147294i | ||||
\(428\) | 9.79189 | − | 4.98922i | 0.473309 | − | 0.241163i | ||||
\(429\) | 11.2024 | − | 12.4752i | 0.540857 | − | 0.602310i | ||||
\(430\) | −2.96490 | − | 0.505221i | −0.142980 | − | 0.0243639i | ||||
\(431\) | 24.9008 | − | 8.09077i | 1.19943 | − | 0.389719i | 0.359879 | − | 0.932999i | \(-0.382818\pi\) |
0.839551 | + | 0.543280i | \(0.182818\pi\) | |||||||
\(432\) | −2.34030 | + | 4.63929i | −0.112598 | + | 0.223208i | ||||
\(433\) | 25.3199 | + | 12.9012i | 1.21680 | + | 0.619990i | 0.940078 | − | 0.340960i | \(-0.110752\pi\) |
0.276721 | + | 0.960950i | \(0.410752\pi\) | |||||||
\(434\) | 6.40478 | + | 4.65335i | 0.307440 | + | 0.223368i | ||||
\(435\) | 27.3889 | − | 15.4371i | 1.31320 | − | 0.740150i | ||||
\(436\) | −14.4153 | + | 10.4733i | −0.690366 | + | 0.501580i | ||||
\(437\) | −0.403127 | + | 0.0638490i | −0.0192842 | + | 0.00305431i | ||||
\(438\) | −3.45547 | + | 12.9657i | −0.165109 | + | 0.619527i | ||||
\(439\) | −23.8366 | − | 32.8083i | −1.13766 | − | 1.56585i | −0.772628 | − | 0.634859i | \(-0.781058\pi\) |
−0.365032 | − | 0.930995i | \(-0.618942\pi\) | |||||||
\(440\) | 3.38467 | − | 4.54579i | 0.161358 | − | 0.216712i | ||||
\(441\) | −5.41598 | − | 50.2293i | −0.257904 | − | 2.39187i | ||||
\(442\) | −8.32799 | + | 16.3446i | −0.396122 | + | 0.777434i | ||||
\(443\) | 4.87049 | + | 4.87049i | 0.231404 | + | 0.231404i | 0.813279 | − | 0.581875i | \(-0.197681\pi\) |
−0.581875 | + | 0.813279i | \(0.697681\pi\) | |||||||
\(444\) | 6.35164 | + | 0.658947i | 0.301435 | + | 0.0312722i | ||||
\(445\) | −4.14847 | + | 24.3453i | −0.196656 | + | 1.15408i | ||||
\(446\) | −18.5603 | − | 6.03061i | −0.878856 | − | 0.285558i | ||||
\(447\) | 0.566865 | + | 10.5450i | 0.0268118 | + | 0.498762i | ||||
\(448\) | −0.763813 | + | 4.82253i | −0.0360868 | + | 0.227843i | ||||
\(449\) | 38.2829 | 1.80668 | 0.903340 | − | 0.428924i | \(-0.141107\pi\) | ||||
0.903340 | + | 0.428924i | \(0.141107\pi\) | |||||||
\(450\) | −14.9600 | − | 1.09508i | −0.705220 | − | 0.0516224i | ||||
\(451\) | 15.9247 | 0.749863 | ||||||||
\(452\) | 2.93571 | − | 18.5354i | 0.138084 | − | 0.871830i | ||||
\(453\) | −1.62467 | − | 30.2227i | −0.0763337 | − | 1.41998i | ||||
\(454\) | −23.5335 | − | 7.64649i | −1.10448 | − | 0.358868i | ||||
\(455\) | −41.2590 | + | 6.04083i | −1.93425 | + | 0.283198i | ||||
\(456\) | −1.07964 | − | 0.112007i | −0.0505589 | − | 0.00524520i | ||||
\(457\) | 25.3039 | + | 25.3039i | 1.18366 | + | 1.18366i | 0.978788 | + | 0.204877i | \(0.0656794\pi\) |
0.204877 | + | 0.978788i | \(0.434321\pi\) | |||||||
\(458\) | −1.38340 | + | 2.71507i | −0.0646419 | + | 0.126867i | ||||
\(459\) | −7.61626 | + | 23.7664i | −0.355497 | + | 1.10932i | ||||
\(460\) | 1.39023 | − | 0.433798i | 0.0648200 | − | 0.0202259i | ||||
\(461\) | 4.06138 | + | 5.59002i | 0.189158 | + | 0.260353i | 0.893054 | − | 0.449950i | \(-0.148558\pi\) |
−0.703896 | + | 0.710303i | \(0.748558\pi\) | |||||||
\(462\) | 5.51988 | − | 20.7119i | 0.256808 | − | 0.963603i | ||||
\(463\) | 21.7821 | − | 3.44995i | 1.01230 | − | 0.160333i | 0.371819 | − | 0.928305i | \(-0.378734\pi\) |
0.640483 | + | 0.767973i | \(0.278734\pi\) | |||||||
\(464\) | −6.56735 | + | 4.77146i | −0.304881 | + | 0.221509i | ||||
\(465\) | 2.61345 | − | 5.71002i | 0.121196 | − | 0.264796i | ||||
\(466\) | 14.9847 | + | 10.8870i | 0.694153 | + | 0.504332i | ||||
\(467\) | −4.03552 | − | 2.05620i | −0.186742 | − | 0.0951496i | 0.358120 | − | 0.933676i | \(-0.383418\pi\) |
−0.544862 | + | 0.838526i | \(0.683418\pi\) | |||||||
\(468\) | 11.4438 | + | 0.568876i | 0.528990 | + | 0.0262963i | ||||
\(469\) | −19.9523 | + | 6.48290i | −0.921313 | + | 0.299353i | ||||
\(470\) | 4.46086 | − | 8.50737i | 0.205764 | − | 0.392416i | ||||
\(471\) | −2.66729 | + | 2.97036i | −0.122902 | + | 0.136867i | ||||
\(472\) | 9.87598 | − | 5.03206i | 0.454579 | − | 0.231620i | ||||
\(473\) | −3.36716 | − | 0.533306i | −0.154822 | − | 0.0245214i | ||||
\(474\) | 0.231426 | + | 0.102665i | 0.0106297 | + | 0.00471554i | ||||
\(475\) | −0.898276 | − | 3.00187i | −0.0412157 | − | 0.137735i | ||||
\(476\) | 23.4511i | 1.07488i | ||||||||
\(477\) | 1.28590 | − | 0.839999i | 0.0588773 | − | 0.0384609i | ||||
\(478\) | 6.06483 | + | 11.9029i | 0.277399 | + | 0.544426i | ||||
\(479\) | 11.4075 | − | 35.1086i | 0.521220 | − | 1.60415i | −0.250450 | − | 0.968129i | \(-0.580579\pi\) |
0.771671 | − | 0.636022i | \(-0.219421\pi\) | |||||||
\(480\) | 3.86957 | − | 0.162636i | 0.176621 | − | 0.00742328i | ||||
\(481\) | −4.35128 | − | 13.3919i | −0.198401 | − | 0.610616i | ||||
\(482\) | −3.61037 | + | 3.61037i | −0.164448 | + | 0.164448i | ||||
\(483\) | 4.27585 | − | 3.47205i | 0.194558 | − | 0.157984i | ||||
\(484\) | −2.68968 | + | 3.70203i | −0.122258 | + | 0.168274i | ||||
\(485\) | −10.8649 | + | 32.1538i | −0.493352 | + | 1.46003i | ||||
\(486\) | 15.4918 | − | 1.73367i | 0.702720 | − | 0.0786408i | ||||
\(487\) | −5.38000 | − | 33.9680i | −0.243791 | − | 1.53923i | −0.740941 | − | 0.671570i | \(-0.765620\pi\) |
0.497150 | − | 0.867665i | \(-0.334380\pi\) | |||||||
\(488\) | −0.623369 | − | 3.93579i | −0.0282186 | − | 0.178165i | ||||
\(489\) | 8.29627 | + | 38.7743i | 0.375170 | + | 1.75344i | ||||
\(490\) | −30.7210 | + | 21.7755i | −1.38783 | + | 0.983719i | ||||
\(491\) | −9.76139 | + | 13.4354i | −0.440525 | + | 0.606331i | −0.970329 | − | 0.241789i | \(-0.922266\pi\) |
0.529803 | + | 0.848120i | \(0.322266\pi\) | |||||||
\(492\) | 6.85992 | + | 8.44803i | 0.309269 | + | 0.380867i | ||||
\(493\) | −27.5693 | + | 27.5693i | −1.24166 | + | 1.24166i | ||||
\(494\) | 0.739624 | + | 2.27633i | 0.0332772 | + | 0.102417i | ||||
\(495\) | −16.9704 | − | 1.04278i | −0.762763 | − | 0.0468695i | ||||
\(496\) | −0.501043 | + | 1.54205i | −0.0224975 | + | 0.0692401i | ||||
\(497\) | 2.13736 | + | 4.19480i | 0.0958736 | + | 0.188163i | ||||
\(498\) | 7.45283 | − | 11.5102i | 0.333969 | − | 0.515785i | ||||
\(499\) | − | 23.6495i | − | 1.05870i | −0.848404 | − | 0.529349i | \(-0.822436\pi\) | ||
0.848404 | − | 0.529349i | \(-0.177564\pi\) | |||||||
\(500\) | 4.72305 | + | 10.1337i | 0.211221 | + | 0.453195i | ||||
\(501\) | 6.22221 | − | 14.0261i | 0.277988 | − | 0.626639i | ||||
\(502\) | 10.3121 | + | 1.63327i | 0.460249 | + | 0.0728964i | ||||
\(503\) | −13.2000 | + | 6.72572i | −0.588557 | + | 0.299885i | −0.722793 | − | 0.691065i | \(-0.757142\pi\) |
0.134236 | + | 0.990949i | \(0.457142\pi\) | |||||||
\(504\) | 13.3655 | − | 5.99382i | 0.595345 | − | 0.266986i | ||||
\(505\) | 3.04653 | + | 3.11867i | 0.135569 | + | 0.138779i | ||||
\(506\) | 1.56996 | − | 0.510111i | 0.0697932 | − | 0.0226772i | ||||
\(507\) | −0.988597 | − | 2.56507i | −0.0439051 | − | 0.113919i | ||||
\(508\) | −2.05602 | − | 1.04759i | −0.0912211 | − | 0.0464795i | ||||
\(509\) | 26.7370 | + | 19.4255i | 1.18510 | + | 0.861022i | 0.992737 | − | 0.120303i | \(-0.0383865\pi\) |
0.192358 | + | 0.981325i | \(0.438386\pi\) | |||||||
\(510\) | 18.2344 | − | 3.67891i | 0.807431 | − | 0.162905i | ||||
\(511\) | 30.6019 | − | 22.2336i | 1.35375 | − | 0.983557i | ||||
\(512\) | −0.987688 | + | 0.156434i | −0.0436501 | + | 0.00691349i | ||||
\(513\) | 1.49003 | + | 2.89540i | 0.0657864 | + | 0.127835i | ||||
\(514\) | 13.1153 | + | 18.0516i | 0.578489 | + | 0.796222i | ||||
\(515\) | −7.32381 | − | 2.47475i | −0.322726 | − | 0.109051i | ||||
\(516\) | −1.16756 | − | 2.01601i | −0.0513992 | − | 0.0887501i | ||||
\(517\) | 4.94319 | − | 9.70155i | 0.217401 | − | 0.426674i | ||||
\(518\) | −12.7289 | − | 12.7289i | −0.559274 | − | 0.559274i | ||||
\(519\) | −2.94746 | + | 28.4108i | −0.129379 | + | 1.24709i | ||||
\(520\) | −3.78789 | − | 7.65425i | −0.166110 | − | 0.335661i | ||||
\(521\) | −10.1727 | − | 3.30530i | −0.445672 | − | 0.144808i | 0.0775789 | − | 0.996986i | \(-0.475281\pi\) |
−0.523251 | + | 0.852179i | \(0.675281\pi\) | |||||||
\(522\) | 22.7589 | + | 8.66616i | 0.996132 | + | 0.379308i | ||||
\(523\) | 6.12109 | − | 38.6470i | 0.267656 | − | 1.68992i | −0.377615 | − | 0.925963i | \(-0.623256\pi\) |
0.645271 | − | 0.763953i | \(-0.276744\pi\) | |||||||
\(524\) | 5.42638 | 0.237052 | ||||||||
\(525\) | 30.7922 | + | 28.9802i | 1.34388 | + | 1.26480i | ||||
\(526\) | −13.3050 | −0.580124 | ||||||||
\(527\) | −1.21824 | + | 7.69168i | −0.0530675 | + | 0.335055i | ||||
\(528\) | 4.38367 | − | 0.235652i | 0.190775 | − | 0.0102554i | ||||
\(529\) | −21.4709 | − | 6.97631i | −0.933516 | − | 0.303318i | ||||
\(530\) | −1.01390 | − | 0.531640i | −0.0440409 | − | 0.0230930i | ||||
\(531\) | −28.8419 | − | 16.5486i | −1.25163 | − | 0.718147i | ||||
\(532\) | 2.16363 | + | 2.16363i | 0.0938053 | + | 0.0938053i | ||||
\(533\) | 10.8943 | − | 21.3812i | 0.471883 | − | 0.926122i | ||||
\(534\) | −16.5539 | + | 9.58709i | −0.716356 | + | 0.414874i | ||||
\(535\) | −0.287512 | + | 24.5720i | −0.0124302 | + | 1.06234i | ||||
\(536\) | −2.52552 | − | 3.47608i | −0.109086 | − | 0.150144i | ||||
\(537\) | 10.5787 | + | 2.81930i | 0.456504 | + | 0.121662i | ||||
\(538\) | −8.04880 | + | 1.27480i | −0.347008 | + | 0.0549607i | ||||
\(539\) | −34.5309 | + | 25.0882i | −1.48735 | + | 1.08062i | ||||
\(540\) | −6.75720 | − | 9.45200i | −0.290784 | − | 0.406749i | ||||
\(541\) | 13.6337 | + | 9.90543i | 0.586157 | + | 0.425868i | 0.840938 | − | 0.541131i | \(-0.182004\pi\) |
−0.254782 | + | 0.966999i | \(0.582004\pi\) | |||||||
\(542\) | −7.89814 | − | 4.02431i | −0.339254 | − | 0.172859i | ||||
\(543\) | −30.3092 | + | 11.6814i | −1.30069 | + | 0.501298i | ||||
\(544\) | −4.56788 | + | 1.48420i | −0.195846 | + | 0.0636344i | ||||
\(545\) | −5.77194 | − | 39.4225i | −0.247243 | − | 1.68867i | ||||
\(546\) | −24.0325 | − | 21.5805i | −1.02850 | − | 0.923560i | ||||
\(547\) | 13.9944 | − | 7.13049i | 0.598356 | − | 0.304878i | −0.128455 | − | 0.991715i | \(-0.541002\pi\) |
0.726811 | + | 0.686838i | \(0.241002\pi\) | |||||||
\(548\) | 4.24769 | + | 0.672768i | 0.181452 | + | 0.0287392i | ||||
\(549\) | −8.86242 | + | 8.02304i | −0.378239 | + | 0.342415i | ||||
\(550\) | 5.48757 | + | 11.4231i | 0.233991 | + | 0.487083i | ||||
\(551\) | 5.08717i | 0.216721i | ||||||||
\(552\) | 0.946910 | + | 0.613122i | 0.0403032 | + | 0.0260962i | ||||
\(553\) | −0.324013 | − | 0.635911i | −0.0137784 | − | 0.0270417i | ||||
\(554\) | −3.76524 | + | 11.5882i | −0.159970 | + | 0.492337i | ||||
\(555\) | −7.90045 | + | 11.8941i | −0.335355 | + | 0.504878i | ||||
\(556\) | −0.908430 | − | 2.79586i | −0.0385260 | − | 0.118571i | ||||
\(557\) | 16.7489 | − | 16.7489i | 0.709672 | − | 0.709672i | −0.256794 | − | 0.966466i | \(-0.582666\pi\) |
0.966466 | + | 0.256794i | \(0.0826662\pi\) | |||||||
\(558\) | 4.69508 | − | 1.27159i | 0.198758 | − | 0.0538307i | ||||
\(559\) | −3.01956 | + | 4.15607i | −0.127714 | + | 0.175783i | ||||
\(560\) | −8.75709 | − | 6.52029i | −0.370055 | − | 0.275533i | ||||
\(561\) | 20.6183 | − | 4.41156i | 0.870507 | − | 0.186256i | ||||
\(562\) | 0.312022 | + | 1.97003i | 0.0131619 | + | 0.0831007i | ||||
\(563\) | 7.14192 | + | 45.0923i | 0.300996 | + | 1.90041i | 0.420007 | + | 0.907521i | \(0.362027\pi\) |
−0.119011 | + | 0.992893i | \(0.537973\pi\) | |||||||
\(564\) | 7.27606 | − | 1.55681i | 0.306378 | − | 0.0655534i | ||||
\(565\) | 33.6579 | + | 25.0607i | 1.41600 | + | 1.05431i | ||||
\(566\) | −1.22605 | + | 1.68751i | −0.0515345 | + | 0.0709312i | ||||
\(567\) | −36.9826 | − | 23.7348i | −1.55312 | − | 0.996769i | ||||
\(568\) | −0.681806 | + | 0.681806i | −0.0286080 | + | 0.0286080i | ||||
\(569\) | −0.701234 | − | 2.15818i | −0.0293972 | − | 0.0904754i | 0.935281 | − | 0.353905i | \(-0.115146\pi\) |
−0.964679 | + | 0.263430i | \(0.915146\pi\) | |||||||
\(570\) | 1.34291 | − | 2.02175i | 0.0562481 | − | 0.0846817i | ||||
\(571\) | −9.62474 | + | 29.6219i | −0.402783 | + | 1.23964i | 0.519950 | + | 0.854197i | \(0.325951\pi\) |
−0.922733 | + | 0.385441i | \(0.874049\pi\) | |||||||
\(572\) | −4.39477 | − | 8.62521i | −0.183754 | − | 0.360638i | ||||
\(573\) | 22.8451 | + | 14.7922i | 0.954370 | + | 0.617951i | ||||
\(574\) | − | 30.6775i | − | 1.28046i | ||||||
\(575\) | −0.584544 | + | 3.20358i | −0.0243772 | + | 0.133599i | ||||
\(576\) | 2.01338 | + | 2.22403i | 0.0838909 | + | 0.0926677i | ||||
\(577\) | −13.3526 | − | 2.11485i | −0.555877 | − | 0.0880422i | −0.127825 | − | 0.991797i | \(-0.540800\pi\) |
−0.428051 | + | 0.903755i | \(0.640800\pi\) | |||||||
\(578\) | −5.40699 | + | 2.75500i | −0.224901 | + | 0.114593i | ||||
\(579\) | −3.34441 | − | 3.00319i | −0.138989 | − | 0.124808i | ||||
\(580\) | −2.62960 | − | 17.9602i | −0.109188 | − | 0.745758i | ||||
\(581\) | −36.7632 | + | 11.9451i | −1.52520 | + | 0.495566i | ||||
\(582\) | −24.5309 | + | 9.45440i | −1.01684 | + | 0.391897i | ||||
\(583\) | −1.15622 | − | 0.589123i | −0.0478857 | − | 0.0243990i | ||||
\(584\) | 6.26750 | + | 4.55360i | 0.259351 | + | 0.188429i | ||||
\(585\) | −13.0097 | + | 22.0719i | −0.537887 | + | 0.912559i | ||||
\(586\) | 16.1844 | − | 11.7587i | 0.668573 | − | 0.485747i | ||||
\(587\) | 20.8055 | − | 3.29526i | 0.858733 | − | 0.136010i | 0.288487 | − | 0.957484i | \(-0.406848\pi\) |
0.570246 | + | 0.821474i | \(0.306848\pi\) | |||||||
\(588\) | −28.1843 | − | 7.51133i | −1.16230 | − | 0.309762i | ||||
\(589\) | 0.597248 | + | 0.822041i | 0.0246092 | + | 0.0338716i | ||||
\(590\) | −0.289981 | + | 24.7830i | −0.0119383 | + | 1.02030i | ||||
\(591\) | −8.69782 | + | 5.03730i | −0.357780 | + | 0.207207i | ||||
\(592\) | 1.67377 | − | 3.28496i | 0.0687917 | − | 0.135011i | ||||
\(593\) | 13.4478 | + | 13.4478i | 0.552235 | + | 0.552235i | 0.927085 | − | 0.374851i | \(-0.122306\pi\) |
−0.374851 | + | 0.927085i | \(0.622306\pi\) | |||||||
\(594\) | −7.78407 | − | 10.6234i | −0.319384 | − | 0.435885i | ||||
\(595\) | −46.4411 | − | 24.3515i | −1.90390 | − | 0.998314i | ||||
\(596\) | 5.79855 | + | 1.88406i | 0.237518 | + | 0.0771743i | ||||
\(597\) | −6.68299 | + | 0.359255i | −0.273516 | + | 0.0147033i | ||||
\(598\) | 0.389131 | − | 2.45687i | 0.0159127 | − | 0.100469i | ||||
\(599\) | −0.0872460 | −0.00356477 | −0.00178239 | − | 0.999998i | \(-0.500567\pi\) | ||||
−0.00178239 | + | 0.999998i | \(0.500567\pi\) | |||||||
\(600\) | −3.69606 | + | 7.83193i | −0.150891 | + | 0.319737i | ||||
\(601\) | 5.69768 | 0.232413 | 0.116207 | − | 0.993225i | \(-0.462927\pi\) | ||||
0.116207 | + | 0.993225i | \(0.462927\pi\) | |||||||
\(602\) | −1.02737 | + | 6.48656i | −0.0418725 | + | 0.264373i | ||||
\(603\) | −4.58698 | + | 12.0463i | −0.186796 | + | 0.490562i | ||||
\(604\) | −16.6190 | − | 5.39984i | −0.676218 | − | 0.219716i | ||||
\(605\) | −4.53831 | − | 9.17064i | −0.184509 | − | 0.372840i | ||||
\(606\) | −0.348480 | + | 3.35903i | −0.0141560 | + | 0.136451i | ||||
\(607\) | 29.7432 | + | 29.7432i | 1.20724 | + | 1.20724i | 0.971918 | + | 0.235320i | \(0.0756138\pi\) |
0.235320 | + | 0.971918i | \(0.424386\pi\) | |||||||
\(608\) | −0.284505 | + | 0.558373i | −0.0115382 | + | 0.0226450i | ||||
\(609\) | −34.4055 | − | 59.4074i | −1.39418 | − | 2.40731i | ||||
\(610\) | 8.44150 | + | 2.85243i | 0.341787 | + | 0.115491i | ||||
\(611\) | −9.64405 | − | 13.2739i | −0.390157 | − | 0.537005i | ||||
\(612\) | 11.2222 | + | 9.03764i | 0.453629 | + | 0.365325i | ||||
\(613\) | −12.4325 | + | 1.96912i | −0.502145 | + | 0.0795319i | −0.402368 | − | 0.915478i | \(-0.631813\pi\) |
−0.0997765 | + | 0.995010i | \(0.531813\pi\) | |||||||
\(614\) | −7.54983 | + | 5.48528i | −0.304687 | + | 0.221368i | ||||
\(615\) | −23.8533 | + | 4.81256i | −0.961856 | + | 0.194061i | ||||
\(616\) | −10.0119 | − | 7.27407i | −0.403391 | − | 0.293081i | ||||
\(617\) | 30.8055 | + | 15.6962i | 1.24018 | + | 0.631904i | 0.946099 | − | 0.323876i | \(-0.104986\pi\) |
0.294082 | + | 0.955780i | \(0.404986\pi\) | |||||||
\(618\) | −2.15347 | − | 5.58750i | −0.0866251 | − | 0.224762i | ||||
\(619\) | 8.55247 | − | 2.77887i | 0.343753 | − | 0.111692i | −0.132052 | − | 0.991243i | \(-0.542157\pi\) |
0.475805 | + | 0.879551i | \(0.342157\pi\) | |||||||
\(620\) | −2.53350 | − | 2.59349i | −0.101748 | − | 0.104157i | ||||
\(621\) | −0.0136569 | − | 3.38420i | −0.000548031 | − | 0.135803i | ||||
\(622\) | −6.97523 | + | 3.55406i | −0.279681 | + | 0.142505i | ||||
\(623\) | 53.2624 | + | 8.43593i | 2.13391 | + | 0.337979i | ||||
\(624\) | 2.68253 | − | 6.04693i | 0.107387 | − | 0.242071i | ||||
\(625\) | −24.9726 | − | 1.16960i | −0.998905 | − | 0.0467839i | ||||
\(626\) | − | 2.86051i | − | 0.114329i | ||||||
\(627\) | 1.49526 | − | 2.30929i | 0.0597149 | − | 0.0922242i | ||||
\(628\) | 1.04640 | + | 2.05367i | 0.0417557 | + | 0.0819502i | ||||
\(629\) | 5.47194 | − | 16.8409i | 0.218180 | − | 0.671490i | ||||
\(630\) | −2.00883 | + | 32.6921i | −0.0800337 | + | 1.30248i | ||||
\(631\) | −5.89667 | − | 18.1481i | −0.234743 | − | 0.722463i | −0.997155 | − | 0.0753725i | \(-0.975985\pi\) |
0.762413 | − | 0.647091i | \(-0.224015\pi\) | |||||||
\(632\) | 0.103358 | − | 0.103358i | 0.00411138 | − | 0.00411138i | ||||
\(633\) | 11.9372 | + | 14.7007i | 0.474461 | + | 0.584302i | ||||
\(634\) | 15.0327 | − | 20.6907i | 0.597024 | − | 0.821733i | ||||
\(635\) | 4.20955 | − | 2.98379i | 0.167051 | − | 0.118408i | ||||
\(636\) | −0.185538 | − | 0.867153i | −0.00735708 | − | 0.0343848i | ||||
\(637\) | 10.0615 | + | 63.5259i | 0.398652 | + | 2.51699i | ||||
\(638\) | −3.21861 | − | 20.3215i | −0.127426 | − | 0.804537i | ||||
\(639\) | 2.83106 | + | 0.593804i | 0.111995 | + | 0.0234905i | ||||
\(640\) | 0.715817 | − | 2.11840i | 0.0282952 | − | 0.0837370i | ||||
\(641\) | −5.82328 | + | 8.01506i | −0.230006 | + | 0.316576i | −0.908384 | − | 0.418137i | \(-0.862683\pi\) |
0.678378 | + | 0.734713i | \(0.262683\pi\) | |||||||
\(642\) | −14.7766 | + | 11.9988i | −0.583187 | + | 0.473556i | ||||
\(643\) | 14.9895 | − | 14.9895i | 0.591130 | − | 0.591130i | −0.346807 | − | 0.937937i | \(-0.612734\pi\) |
0.937937 | + | 0.346807i | \(0.112734\pi\) | |||||||
\(644\) | −0.982687 | − | 3.02440i | −0.0387233 | − | 0.119178i | ||||
\(645\) | 5.20478 | − | 0.218754i | 0.204938 | − | 0.00861345i | ||||
\(646\) | −0.930111 | + | 2.86259i | −0.0365947 | + | 0.112627i | ||||
\(647\) | 9.58156 | + | 18.8049i | 0.376690 | + | 0.739296i | 0.999056 | − | 0.0434301i | \(-0.0138286\pi\) |
−0.622366 | + | 0.782726i | \(0.713829\pi\) | |||||||
\(648\) | 2.28256 | − | 8.70574i | 0.0896675 | − | 0.341994i | ||||
\(649\) | 28.0934i | 1.10276i | ||||||||
\(650\) | 19.0913 | + | 0.446827i | 0.748823 | + | 0.0175260i | ||||
\(651\) | −12.5342 | − | 5.56040i | −0.491255 | − | 0.217929i | ||||
\(652\) | 22.6112 | + | 3.58126i | 0.885523 | + | 0.140253i | ||||
\(653\) | −28.9032 | + | 14.7269i | −1.13107 | + | 0.576309i | −0.916355 | − | 0.400368i | \(-0.868882\pi\) |
−0.214715 | + | 0.976677i | \(0.568882\pi\) | |||||||
\(654\) | 20.6199 | − | 22.9628i | 0.806302 | − | 0.897915i | ||||
\(655\) | −5.63472 | + | 10.7461i | −0.220167 | + | 0.419883i | ||||
\(656\) | 5.97547 | − | 1.94155i | 0.233303 | − | 0.0758048i | ||||
\(657\) | 1.15390 | − | 23.2125i | 0.0450181 | − | 0.905606i | ||||
\(658\) | −18.6892 | − | 9.52264i | −0.728582 | − | 0.371231i | ||||
\(659\) | −21.9545 | − | 15.9509i | −0.855225 | − | 0.621357i | 0.0713570 | − | 0.997451i | \(-0.477267\pi\) |
−0.926582 | + | 0.376094i | \(0.877267\pi\) | |||||||
\(660\) | −4.08531 | + | 8.92585i | −0.159021 | + | 0.347438i | ||||
\(661\) | −20.1069 | + | 14.6085i | −0.782069 | + | 0.568206i | −0.905599 | − | 0.424135i | \(-0.860578\pi\) |
0.123531 | + | 0.992341i | \(0.460578\pi\) | |||||||
\(662\) | −31.5787 | + | 5.00158i | −1.22734 | + | 0.194392i | ||||
\(663\) | 8.18209 | − | 30.7011i | 0.317766 | − | 1.19233i | ||||
\(664\) | −4.65341 | − | 6.40487i | −0.180587 | − | 0.248557i | ||||
\(665\) | −6.53142 | + | 2.03802i | −0.253278 | + | 0.0790309i | ||||
\(666\) | −10.9967 | + | 1.18572i | −0.426112 | + | 0.0459456i | ||||
\(667\) | 2.40025 | − | 4.71076i | 0.0929382 | − | 0.182402i | ||||
\(668\) | −6.26427 | − | 6.26427i | −0.242372 | − | 0.242372i | ||||
\(669\) | 33.6213 | + | 3.48802i | 1.29988 | + | 0.134855i | ||||
\(670\) | 9.50631 | − | 1.39184i | 0.367261 | − | 0.0537715i | ||||
\(671\) | 9.60557 | + | 3.12104i | 0.370819 | + | 0.120486i | ||||
\(672\) | −0.453964 | − | 8.44478i | −0.0175120 | − | 0.325765i | ||||
\(673\) | 3.13319 | − | 19.7822i | 0.120775 | − | 0.762546i | −0.850743 | − | 0.525582i | \(-0.823848\pi\) |
0.971518 | − | 0.236964i | \(-0.0761524\pi\) | |||||||
\(674\) | 18.6360 | 0.717830 | ||||||||
\(675\) | 25.7348 | − | 3.56663i | 0.990532 | − | 0.137280i | ||||
\(676\) | −1.58712 | −0.0610432 | ||||||||
\(677\) | 3.76633 | − | 23.7796i | 0.144752 | − | 0.913926i | −0.803246 | − | 0.595648i | \(-0.796895\pi\) |
0.947997 | − | 0.318278i | \(-0.103105\pi\) | |||||||
\(678\) | 1.74481 | + | 32.4575i | 0.0670090 | + | 1.24652i | ||||
\(679\) | 70.4833 | + | 22.9014i | 2.70490 | + | 0.878876i | ||||
\(680\) | 1.80406 | − | 10.5871i | 0.0691825 | − | 0.405998i | ||||
\(681\) | 42.6300 | + | 4.42263i | 1.63359 | + | 0.169476i | ||||
\(682\) | −2.90591 | − | 2.90591i | −0.111273 | − | 0.111273i | ||||
\(683\) | −5.04753 | + | 9.90634i | −0.193138 | + | 0.379056i | −0.967185 | − | 0.254073i | \(-0.918230\pi\) |
0.774047 | + | 0.633129i | \(0.218230\pi\) | |||||||
\(684\) | 1.86920 | − | 0.201546i | 0.0714705 | − | 0.00770631i | ||||
\(685\) | −5.74308 | + | 7.71326i | −0.219432 | + | 0.294708i | ||||
\(686\) | 28.2407 | + | 38.8700i | 1.07823 | + | 1.48406i | ||||
\(687\) | 1.35916 | − | 5.09989i | 0.0518552 | − | 0.194573i | ||||
\(688\) | −1.32850 | + | 0.210413i | −0.0506484 | + | 0.00802192i | ||||
\(689\) | −1.58197 | + | 1.14937i | −0.0602682 | + | 0.0437874i | ||||
\(690\) | −2.19745 | + | 1.23854i | −0.0836557 | + | 0.0471504i | ||||
\(691\) | −26.5202 | − | 19.2681i | −1.00888 | − | 0.732992i | −0.0449036 | − | 0.998991i | \(-0.514298\pi\) |
−0.963973 | + | 0.265999i | \(0.914298\pi\) | |||||||
\(692\) | 14.6936 | + | 7.48676i | 0.558567 | + | 0.284604i | ||||
\(693\) | −1.84328 | + | 37.0804i | −0.0700205 | + | 1.40857i | ||||
\(694\) | 22.6473 | − | 7.35855i | 0.859680 | − | 0.279327i | ||||
\(695\) | 6.48005 | + | 1.10421i | 0.245802 | + | 0.0418850i | ||||
\(696\) | 9.39408 | − | 10.4614i | 0.356082 | − | 0.396540i | ||||
\(697\) | 26.8878 | − | 13.7000i | 1.01845 | − | 0.518926i | ||||
\(698\) | 8.52937 | + | 1.35092i | 0.322841 | + | 0.0511330i | ||||
\(699\) | −29.3252 | − | 13.0092i | −1.10918 | − | 0.492053i | ||||
\(700\) | 22.0057 | − | 10.5714i | 0.831737 | − | 0.399560i | ||||
\(701\) | 25.1992i | 0.951759i | 0.879510 | + | 0.475880i | \(0.157870\pi\) | ||||
−0.879510 | + | 0.475880i | \(0.842130\pi\) | |||||||
\(702\) | −19.5887 | + | 3.18363i | −0.739328 | + | 0.120158i | ||||
\(703\) | −1.04891 | − | 2.05861i | −0.0395606 | − | 0.0776420i | ||||
\(704\) | 0.783225 | − | 2.41052i | 0.0295189 | − | 0.0908498i | ||||
\(705\) | −4.47242 | + | 16.0256i | −0.168441 | + | 0.603561i | ||||
\(706\) | −8.83221 | − | 27.1827i | −0.332405 | − | 1.02304i | ||||
\(707\) | 6.73158 | − | 6.73158i | 0.253167 | − | 0.253167i | ||||
\(708\) | −14.9035 | + | 12.1019i | −0.560109 | + | 0.454816i | ||||
\(709\) | 15.3258 | − | 21.0942i | 0.575574 | − | 0.792209i | −0.417628 | − | 0.908618i | \(-0.637138\pi\) |
0.993201 | + | 0.116409i | \(0.0371383\pi\) | |||||||
\(710\) | −0.642223 | − | 2.05819i | −0.0241022 | − | 0.0772425i | ||||
\(711\) | −0.429174 | − | 0.0900177i | −0.0160953 | − | 0.00337593i | ||||
\(712\) | 1.72774 | + | 10.9085i | 0.0647498 | + | 0.408814i | ||||
\(713\) | −0.165197 | − | 1.04301i | −0.00618669 | − | 0.0390612i | ||||
\(714\) | −8.49850 | − | 39.7195i | −0.318048 | − | 1.48647i | ||||
\(715\) | 21.6443 | + | 0.253255i | 0.809452 | + | 0.00947122i | ||||
\(716\) | 3.71527 | − | 5.11362i | 0.138846 | − | 0.191105i | ||||
\(717\) | −14.5856 | − | 17.9623i | −0.544709 | − | 0.670813i | ||||
\(718\) | −5.88078 | + | 5.88078i | −0.219469 | + | 0.219469i | ||||
\(719\) | 10.3692 | + | 31.9130i | 0.386705 | + | 1.19016i | 0.935236 | + | 0.354025i | \(0.115187\pi\) |
−0.548531 | + | 0.836130i | \(0.684813\pi\) | |||||||
\(720\) | −6.49501 | + | 1.67776i | −0.242055 | + | 0.0625264i | ||||
\(721\) | −5.21635 | + | 16.0543i | −0.194267 | + | 0.597892i | ||||
\(722\) | −8.44753 | − | 16.5792i | −0.314384 | − | 0.617014i | ||||
\(723\) | 4.80657 | − | 7.42331i | 0.178758 | − | 0.276076i | ||||
\(724\) | 18.7537i | 0.696976i | ||||||||
\(725\) | 38.2979 | + | 13.4423i | 1.42235 | + | 0.499235i | ||||
\(726\) | 3.21397 | − | 7.24490i | 0.119282 | − | 0.268883i | ||||
\(727\) | 39.1616 | + | 6.20259i | 1.45242 | + | 0.230042i | 0.832241 | − | 0.554415i | \(-0.187058\pi\) |
0.620184 | + | 0.784456i | \(0.287058\pi\) | |||||||
\(728\) | −16.6158 | + | 8.46615i | −0.615821 | + | 0.313777i | ||||
\(729\) | −25.6104 | + | 8.55043i | −0.948532 | + | 0.316683i | ||||
\(730\) | −15.5258 | + | 7.68332i | −0.574636 | + | 0.284373i | ||||
\(731\) | −6.14406 | + | 1.99632i | −0.227246 | + | 0.0738367i | ||||
\(732\) | 2.48211 | + | 6.44021i | 0.0917414 | + | 0.238037i | ||||
\(733\) | −20.5512 | − | 10.4714i | −0.759077 | − | 0.386769i | 0.0312046 | − | 0.999513i | \(-0.490066\pi\) |
−0.790281 | + | 0.612744i | \(0.790066\pi\) | |||||||
\(734\) | −12.5742 | − | 9.13572i | −0.464124 | − | 0.337206i | ||||
\(735\) | 44.1414 | − | 48.0146i | 1.62818 | − | 1.77105i | ||||
\(736\) | 0.526909 | − | 0.382822i | 0.0194221 | − | 0.0141110i | ||||
\(737\) | 10.7561 | − | 1.70361i | 0.396208 | − | 0.0627532i | ||||
\(738\) | −14.6802 | − | 11.8226i | −0.540387 | − | 0.435195i | ||||
\(739\) | −1.10089 | − | 1.51525i | −0.0404970 | − | 0.0557393i | 0.788288 | − | 0.615306i | \(-0.210968\pi\) |
−0.828785 | + | 0.559567i | \(0.810968\pi\) | |||||||
\(740\) | 4.76730 | + | 6.72573i | 0.175250 | + | 0.247243i | ||||
\(741\) | −2.07764 | − | 3.58742i | −0.0763239 | − | 0.131787i | ||||
\(742\) | −1.13490 | + | 2.22736i | −0.0416634 | + | 0.0817690i | ||||
\(743\) | −32.5148 | − | 32.5148i | −1.19285 | − | 1.19285i | −0.976263 | − | 0.216587i | \(-0.930507\pi\) |
−0.216587 | − | 0.976263i | \(-0.569493\pi\) | |||||||
\(744\) | 0.289796 | − | 2.79337i | 0.0106245 | − | 0.102410i | ||||
\(745\) | −9.75227 | + | 9.52669i | −0.357295 | + | 0.349031i | ||||
\(746\) | 14.2250 | + | 4.62198i | 0.520814 | + | 0.169223i | ||||
\(747\) | −8.45176 | + | 22.1959i | −0.309234 | + | 0.812105i | ||||
\(748\) | 1.90434 | − | 12.0236i | 0.0696297 | − | 0.439625i | ||||
\(749\) | 53.6587 | 1.96065 | ||||||||
\(750\) | −11.6719 | − | 15.4521i | −0.426197 | − | 0.564230i | ||||
\(751\) | −30.1750 | −1.10110 | −0.550550 | − | 0.834802i | \(-0.685582\pi\) | ||||
−0.550550 | + | 0.834802i | \(0.685582\pi\) | |||||||
\(752\) | 0.672030 | − | 4.24303i | 0.0245064 | − | 0.154727i | ||||
\(753\) | −18.0576 | + | 0.970716i | −0.658054 | + | 0.0353748i | ||||
\(754\) | −29.4865 | − | 9.58075i | −1.07384 | − | 0.348910i | ||||
\(755\) | 27.9506 | − | 27.3041i | 1.01723 | − | 0.993697i | ||||
\(756\) | −20.4652 | + | 14.9954i | −0.744311 | + | 0.545376i | ||||
\(757\) | −32.7271 | − | 32.7271i | −1.18949 | − | 1.18949i | −0.977210 | − | 0.212277i | \(-0.931912\pi\) |
−0.212277 | − | 0.977210i | \(-0.568088\pi\) | |||||||
\(758\) | −2.85662 | + | 5.60643i | −0.103757 | + | 0.203635i | ||||
\(759\) | −2.47421 | + | 1.43292i | −0.0898080 | + | 0.0520118i | ||||
\(760\) | −0.810339 | − | 1.14323i | −0.0293941 | − | 0.0414692i | ||||
\(761\) | −16.4848 | − | 22.6894i | −0.597574 | − | 0.822490i | 0.397910 | − | 0.917425i | \(-0.369736\pi\) |
−0.995483 | + | 0.0949348i | \(0.969736\pi\) | |||||||
\(762\) | 3.86195 | + | 1.02924i | 0.139904 | + | 0.0372855i | ||||
\(763\) | −85.9289 | + | 13.6098i | −3.11084 | + | 0.492708i | ||||
\(764\) | 12.7122 | − | 9.23596i | 0.459911 | − | 0.334145i | ||||
\(765\) | −29.5506 | + | 12.8390i | −1.06840 | + | 0.464196i | ||||
\(766\) | −9.52966 | − | 6.92370i | −0.344321 | − | 0.250164i | ||||
\(767\) | 37.7194 | + | 19.2190i | 1.36197 | + | 0.693958i | ||||
\(768\) | 1.61617 | − | 0.622886i | 0.0583186 | − | 0.0224765i | ||||
\(769\) | 18.8694 | − | 6.13105i | 0.680449 | − | 0.221091i | 0.0516570 | − | 0.998665i | \(-0.483550\pi\) |
0.628792 | + | 0.777574i | \(0.283550\pi\) | |||||||
\(770\) | 24.8014 | − | 12.2736i | 0.893781 | − | 0.442309i | ||||
\(771\) | −28.7553 | − | 25.8214i | −1.03560 | − | 0.929936i | ||||
\(772\) | −2.31229 | + | 1.17817i | −0.0832210 | + | 0.0424032i | ||||
\(773\) | 17.2870 | + | 2.73800i | 0.621771 | + | 0.0984789i | 0.459369 | − | 0.888246i | \(-0.348076\pi\) |
0.162403 | + | 0.986725i | \(0.448076\pi\) | |||||||
\(774\) | 2.70811 | + | 2.99144i | 0.0973410 | + | 0.107525i | ||||
\(775\) | 7.76676 | − | 2.32412i | 0.278990 | − | 0.0834849i | ||||
\(776\) | 15.1784i | 0.544872i | ||||||||
\(777\) | 26.1719 | + | 16.9462i | 0.938912 | + | 0.607942i | ||||
\(778\) | −10.8806 | − | 21.3544i | −0.390089 | − | 0.765593i | ||||
\(779\) | 1.21672 | − | 3.74469i | 0.0435937 | − | 0.134167i | ||||
\(780\) | 9.18945 | + | 11.5914i | 0.329035 | + | 0.415039i | ||||
\(781\) | −0.755201 | − | 2.32427i | −0.0270232 | − | 0.0831689i | ||||
\(782\) | 2.21193 | − | 2.21193i | 0.0790986 | − | 0.0790986i | ||||
\(783\) | −41.6877 | − | 6.43035i | −1.48980 | − | 0.229802i | ||||
\(784\) | −9.89840 | + | 13.6240i | −0.353514 | + | 0.486571i | ||||
\(785\) | −5.15352 | − | 0.0603002i | −0.183937 | − | 0.00215221i | ||||
\(786\) | −9.19074 | + | 1.96648i | −0.327823 | + | 0.0701419i | ||||
\(787\) | −5.84029 | − | 36.8741i | −0.208184 | − | 1.31442i | −0.841386 | − | 0.540435i | \(-0.818260\pi\) |
0.633202 | − | 0.773986i | \(-0.281740\pi\) | |||||||
\(788\) | 0.907798 | + | 5.73161i | 0.0323390 | + | 0.204180i | ||||
\(789\) | 22.5348 | − | 4.82161i | 0.802260 | − | 0.171654i | ||||
\(790\) | 0.0973578 | + | 0.312012i | 0.00346383 | + | 0.0111009i | ||||
\(791\) | 53.8585 | − | 74.1299i | 1.91499 | − | 2.63576i | ||||
\(792\) | −7.33930 | + | 1.98774i | −0.260791 | + | 0.0706311i | ||||
\(793\) | 10.7617 | − | 10.7617i | 0.382160 | − | 0.382160i | ||||
\(794\) | −2.47210 | − | 7.60834i | −0.0877315 | − | 0.270010i | ||||
\(795\) | 1.90992 | + | 0.533018i | 0.0677378 | + | 0.0189042i | ||||
\(796\) | −1.19404 | + | 3.67488i | −0.0423216 | + | 0.130253i | ||||
\(797\) | −9.33967 | − | 18.3301i | −0.330828 | − | 0.649286i | 0.664345 | − | 0.747426i | \(-0.268711\pi\) |
−0.995173 | + | 0.0981399i | \(0.968711\pi\) | |||||||
\(798\) | −4.44866 | − | 2.88049i | −0.157481 | − | 0.101968i | ||||
\(799\) | − | 20.6331i | − | 0.729947i | ||||||
\(800\) | 3.45184 | + | 3.61729i | 0.122041 | + | 0.127891i | ||||
\(801\) | 24.5633 | − | 22.2368i | 0.867900 | − | 0.785699i | ||||
\(802\) | 5.86405 | + | 0.928774i | 0.207067 | + | 0.0327961i | ||||
\(803\) | −17.4953 | + | 8.91431i | −0.617396 | + | 0.314579i | ||||
\(804\) | 5.53722 | + | 4.97227i | 0.195283 | + | 0.175358i | ||||
\(805\) | 7.00975 | + | 1.19447i | 0.247061 | + | 0.0420995i | ||||
\(806\) | −5.88957 | + | 1.91364i | −0.207451 | + | 0.0674050i | ||||
\(807\) | 13.1704 | − | 5.07598i | 0.463620 | − | 0.178683i | ||||
\(808\) | 1.73723 | + | 0.885165i | 0.0611157 | + | 0.0311400i | ||||
\(809\) | −35.2216 | − | 25.5900i | −1.23833 | − | 0.899696i | −0.240840 | − | 0.970565i | \(-0.577423\pi\) |
−0.997486 | + | 0.0708691i | \(0.977423\pi\) | |||||||
\(810\) | 14.8701 | + | 13.5602i | 0.522482 | + | 0.476458i | ||||
\(811\) | 9.88364 | − | 7.18088i | 0.347062 | − | 0.252155i | −0.400574 | − | 0.916265i | \(-0.631189\pi\) |
0.747635 | + | 0.664110i | \(0.231189\pi\) | |||||||
\(812\) | −39.1478 | + | 6.20040i | −1.37382 | + | 0.217591i | ||||
\(813\) | 14.8356 | + | 3.95380i | 0.520307 | + | 0.138666i | ||||
\(814\) | 5.49253 | + | 7.55982i | 0.192513 | + | 0.264972i | ||||
\(815\) | −30.5715 | + | 41.0591i | −1.07087 | + | 1.43824i | ||||
\(816\) | 7.19884 | − | 4.16917i | 0.252010 | − | 0.145950i | ||||
\(817\) | −0.382675 | + | 0.751043i | −0.0133881 | + | 0.0262757i | ||||
\(818\) | 14.9137 | + | 14.9137i | 0.521444 | + | 0.521444i | ||||
\(819\) | 48.5248 | + | 27.8420i | 1.69559 | + | 0.972879i | ||||
\(820\) | −2.35998 | + | 13.8496i | −0.0824140 | + | 0.483647i | ||||
\(821\) | −9.18310 | − | 2.98377i | −0.320492 | − | 0.104134i | 0.144353 | − | 0.989526i | \(-0.453890\pi\) |
−0.464845 | + | 0.885392i | \(0.653890\pi\) | |||||||
\(822\) | −7.43818 | + | 0.399852i | −0.259436 | + | 0.0139464i | ||||
\(823\) | −4.59608 | + | 29.0185i | −0.160209 | + | 1.01152i | 0.768267 | + | 0.640129i | \(0.221119\pi\) |
−0.928476 | + | 0.371392i | \(0.878881\pi\) | |||||||
\(824\) | −3.45724 | −0.120439 | ||||||||
\(825\) | −13.4340 | − | 17.3589i | −0.467713 | − | 0.604358i | ||||
\(826\) | 54.1195 | 1.88306 | ||||||||
\(827\) | 2.81343 | − | 17.7633i | 0.0978325 | − | 0.617690i | −0.889243 | − | 0.457435i | \(-0.848768\pi\) |
0.987076 | − | 0.160255i | \(-0.0512317\pi\) | |||||||
\(828\) | −1.82599 | − | 0.695300i | −0.0634574 | − | 0.0241634i | ||||
\(829\) | −16.6482 | − | 5.40933i | −0.578216 | − | 0.187874i | 0.00528527 | − | 0.999986i | \(-0.498318\pi\) |
−0.583501 | + | 0.812112i | \(0.698318\pi\) | |||||||
\(830\) | 17.5159 | − | 2.56454i | 0.607985 | − | 0.0890165i | ||||
\(831\) | 2.17777 | − | 20.9917i | 0.0755459 | − | 0.728193i | ||||
\(832\) | −2.70066 | − | 2.70066i | −0.0936285 | − | 0.0936285i | ||||
\(833\) | −36.7199 | + | 72.0669i | −1.27227 | + | 2.49697i | ||||
\(834\) | 2.55182 | + | 4.40618i | 0.0883623 | + | 0.152574i | ||||
\(835\) | 18.9102 | − | 5.90059i | 0.654413 | − | 0.204198i | ||||
\(836\) | −0.933612 | − | 1.28501i | −0.0322897 | − | 0.0444429i | ||||
\(837\) | −7.49131 | + | 3.85517i | −0.258937 | + | 0.133254i | ||||
\(838\) | 37.9387 | − | 6.00890i | 1.31057 | − | 0.207574i | ||||
\(839\) | −24.8896 | + | 18.0833i | −0.859284 | + | 0.624306i | −0.927690 | − | 0.373351i | \(-0.878209\pi\) |
0.0684060 | + | 0.997658i | \(0.478209\pi\) | |||||||
\(840\) | 17.1949 | + | 7.87002i | 0.593281 | + | 0.271541i | ||||
\(841\) | −29.8502 | − | 21.6874i | −1.02932 | − | 0.747843i | ||||
\(842\) | −15.1346 | − | 7.71145i | −0.521572 | − | 0.265754i | ||||
\(843\) | −1.24240 | − | 3.22359i | −0.0427905 | − | 0.111027i | ||||
\(844\) | 10.3981 | − | 3.37856i | 0.357919 | − | 0.116295i | ||||
\(845\) | 1.64806 | − | 3.14304i | 0.0566950 | − | 0.108124i | ||||
\(846\) | −11.7594 | + | 5.27358i | −0.404297 | + | 0.181309i | ||||
\(847\) | −19.9075 | + | 10.1434i | −0.684031 | + | 0.348531i | ||||
\(848\) | −0.505679 | − | 0.0800917i | −0.0173651 | − | 0.00275036i | ||||
\(849\) | 1.46503 | − | 3.30247i | 0.0502798 | − | 0.113340i | ||||
\(850\) | 19.0928 | + | 14.5663i | 0.654877 | + | 0.499619i | ||||
\(851\) | 2.40120i | 0.0823120i | ||||||||
\(852\) | 0.907705 | − | 1.40187i | 0.0310975 | − | 0.0480272i | ||||
\(853\) | 18.7621 | + | 36.8228i | 0.642403 | + | 1.26079i | 0.950881 | + | 0.309556i | \(0.100180\pi\) |
−0.308478 | + | 0.951231i | \(0.599820\pi\) | |||||||
\(854\) | 6.01242 | − | 18.5043i | 0.205741 | − | 0.633205i | ||||
\(855\) | −1.54183 | + | 3.91092i | −0.0527296 | + | 0.133751i | ||||
\(856\) | 3.39600 | + | 10.4518i | 0.116073 | + | 0.357236i | ||||
\(857\) | −9.23819 | + | 9.23819i | −0.315570 | + | 0.315570i | −0.847063 | − | 0.531493i | \(-0.821631\pi\) |
0.531493 | + | 0.847063i | \(0.321631\pi\) | |||||||
\(858\) | 10.5692 | + | 13.0160i | 0.360826 | + | 0.444360i | ||||
\(859\) | −31.7094 | + | 43.6442i | −1.08191 | + | 1.48912i | −0.224508 | + | 0.974472i | \(0.572078\pi\) |
−0.857401 | + | 0.514649i | \(0.827922\pi\) | |||||||
\(860\) | 0.962813 | − | 2.84936i | 0.0328317 | − | 0.0971624i | ||||
\(861\) | 11.1173 | + | 51.9590i | 0.378877 | + | 1.77076i | ||||
\(862\) | 4.09581 | + | 25.8599i | 0.139504 | + | 0.880793i | ||||
\(863\) | −5.91581 | − | 37.3509i | −0.201376 | − | 1.27144i | −0.856590 | − | 0.515997i | \(-0.827422\pi\) |
0.655214 | − | 0.755443i | \(-0.272578\pi\) | |||||||
\(864\) | −4.21607 | − | 3.03723i | −0.143433 | − | 0.103329i | ||||
\(865\) | −30.0841 | + | 21.3241i | −1.02289 | + | 0.725040i | ||||
\(866\) | −16.7032 | + | 22.9900i | −0.567599 | + | 0.781233i | ||||
\(867\) | 8.15952 | − | 6.62564i | 0.277112 | − | 0.225019i | ||||
\(868\) | −5.59799 | + | 5.59799i | −0.190008 | + | 0.190008i | ||||
\(869\) | 0.114485 | + | 0.352348i | 0.00388363 | + | 0.0119526i | ||||
\(870\) | 10.9624 | + | 29.4666i | 0.371661 | + | 0.999010i | ||||
\(871\) | 5.07107 | − | 15.6072i | 0.171827 | − | 0.528828i | ||||
\(872\) | −8.08931 | − | 15.8762i | −0.273939 | − | 0.537635i | ||||
\(873\) | 38.1221 | − | 24.9029i | 1.29024 | − | 0.842834i | ||||
\(874\) | − | 0.408152i | − | 0.0138059i | ||||||
\(875\) | −1.91574 | + | 54.5559i | −0.0647638 | + | 1.84433i | ||||
\(876\) | −12.2655 | − | 5.44122i | −0.414414 | − | 0.183842i | ||||
\(877\) | −23.3056 | − | 3.69125i | −0.786976 | − | 0.124645i | −0.250004 | − | 0.968245i | \(-0.580432\pi\) |
−0.536972 | + | 0.843600i | \(0.680432\pi\) | |||||||
\(878\) | 36.1332 | − | 18.4108i | 1.21944 | − | 0.621334i | ||||
\(879\) | −23.1506 | + | 25.7810i | −0.780850 | + | 0.869571i | ||||
\(880\) | 3.96034 | + | 4.05412i | 0.133503 | + | 0.136664i | ||||
\(881\) | −1.56237 | + | 0.507643i | −0.0526374 | + | 0.0171029i | −0.335217 | − | 0.942141i | \(-0.608810\pi\) |
0.282580 | + | 0.959244i | \(0.408810\pi\) | |||||||
\(882\) | 50.4582 | + | 2.50830i | 1.69901 | + | 0.0844588i | ||||
\(883\) | 41.1010 | + | 20.9420i | 1.38316 | + | 0.704755i | 0.977827 | − | 0.209415i | \(-0.0671559\pi\) |
0.405332 | + | 0.914170i | \(0.367156\pi\) | |||||||
\(884\) | −14.8406 | − | 10.7823i | −0.499143 | − | 0.362649i | ||||
\(885\) | −8.49004 | − | 42.0805i | −0.285390 | − | 1.41452i | ||||
\(886\) | −5.57244 | + | 4.04861i | −0.187210 | + | 0.136016i | ||||
\(887\) | −41.9970 | + | 6.65167i | −1.41012 | + | 0.223341i | −0.814612 | − | 0.580007i | \(-0.803050\pi\) |
−0.595510 | + | 0.803348i | \(0.703050\pi\) | |||||||
\(888\) | −1.64445 | + | 6.17036i | −0.0551841 | + | 0.207064i | ||||
\(889\) | −6.62246 | − | 9.11504i | −0.222110 | − | 0.305708i | ||||
\(890\) | −23.3966 | − | 7.90584i | −0.784257 | − | 0.265004i | ||||
\(891\) | 17.0339 | + | 15.1722i | 0.570655 | + | 0.508287i | ||||
\(892\) | 8.85983 | − | 17.3884i | 0.296649 | − | 0.582207i | ||||
\(893\) | −1.90364 | − | 1.90364i | −0.0637029 | − | 0.0637029i | ||||
\(894\) | −10.5039 | − | 1.08972i | −0.351302 | − | 0.0364456i | ||||
\(895\) | 6.26879 | + | 12.6674i | 0.209543 | + | 0.423426i | ||||
\(896\) | −4.64367 | − | 1.50882i | −0.155134 | − | 0.0504061i | ||||
\(897\) | 0.231276 | + | 4.30226i | 0.00772207 | + | 0.143648i | ||||
\(898\) | −5.98876 | + | 37.8116i | −0.199848 | + | 1.26179i | ||||
\(899\) | −13.1621 | −0.438980 | ||||||||
\(900\) | 3.42185 | − | 14.6045i | 0.114062 | − | 0.486816i | ||||
\(901\) | −2.45903 | −0.0819222 | ||||||||
\(902\) | −2.49117 | + | 15.7286i | −0.0829468 | + | 0.523705i | ||||
\(903\) | −0.610606 | − | 11.3587i | −0.0203197 | − | 0.377994i | ||||
\(904\) | 17.8479 | + | 5.79914i | 0.593613 | + | 0.192877i | ||||
\(905\) | −37.1387 | − | 19.4738i | −1.23453 | − | 0.647329i | ||||
\(906\) | 30.1047 | + | 3.12320i | 1.00016 | + | 0.103761i | ||||
\(907\) | −11.6182 | − | 11.6182i | −0.385775 | − | 0.385775i | 0.487403 | − | 0.873177i | \(-0.337944\pi\) |
−0.873177 | + | 0.487403i | \(0.837944\pi\) | |||||||
\(908\) | 11.2338 | − | 22.0476i | 0.372807 | − | 0.731674i | ||||
\(909\) | −0.627059 | − | 5.81552i | −0.0207982 | − | 0.192889i | ||||
\(910\) | 0.487876 | − | 41.6960i | 0.0161729 | − | 1.38221i | ||||
\(911\) | −31.9965 | − | 44.0394i | −1.06009 | − | 1.45909i | −0.879720 | − | 0.475492i | \(-0.842270\pi\) |
−0.180371 | − | 0.983599i | \(-0.557730\pi\) | |||||||
\(912\) | 0.279521 | − | 1.04883i | 0.00925586 | − | 0.0347302i | ||||
\(913\) | 19.8188 | − | 3.13899i | 0.655906 | − | 0.103885i | ||||
\(914\) | −28.9507 | + | 21.0339i | −0.957605 | + | 0.695741i | ||||
\(915\) | −15.3312 | − | 1.77206i | −0.506834 | − | 0.0585827i | ||||
\(916\) | −2.46523 | − | 1.79110i | −0.0814536 | − | 0.0591795i | ||||
\(917\) | 23.6073 | + | 12.0285i | 0.779580 | + | 0.397216i | ||||
\(918\) | −22.2823 | − | 11.2404i | −0.735426 | − | 0.370987i | ||||
\(919\) | 47.1407 | − | 15.3170i | 1.55503 | − | 0.505260i | 0.599555 | − | 0.800334i | \(-0.295344\pi\) |
0.955474 | + | 0.295074i | \(0.0953443\pi\) | |||||||
\(920\) | 0.210977 | + | 1.44098i | 0.00695570 | + | 0.0475076i | ||||
\(921\) | 10.7994 | − | 12.0265i | 0.355854 | − | 0.396287i | ||||
\(922\) | −6.15653 | + | 3.13691i | −0.202755 | + | 0.103309i | ||||
\(923\) | −3.63731 | − | 0.576094i | −0.119724 | − | 0.0189624i | ||||
\(924\) | 19.5934 | + | 8.69197i | 0.644575 | + | 0.285945i | ||||
\(925\) | −18.2695 | + | 2.45691i | −0.600699 | + | 0.0807827i | ||||
\(926\) | 22.0536i | 0.724728i | ||||||||
\(927\) | 5.67222 | + | 8.68323i | 0.186300 | + | 0.285195i | ||||
\(928\) | −3.68535 | − | 7.23291i | −0.120978 | − | 0.237432i | ||||
\(929\) | −11.6949 | + | 35.9932i | −0.383697 | + | 1.18090i | 0.553723 | + | 0.832701i | \(0.313206\pi\) |
−0.937421 | + | 0.348198i | \(0.886794\pi\) | |||||||
\(930\) | 5.23089 | + | 3.47451i | 0.171528 | + | 0.113934i | ||||
\(931\) | 3.26116 | + | 10.0368i | 0.106880 | + | 0.328944i | ||||
\(932\) | −13.0971 | + | 13.0971i | −0.429010 | + | 0.429010i | ||||
\(933\) | 10.5261 | − | 8.54733i | 0.344609 | − | 0.279827i | ||||
\(934\) | 2.66218 | − | 3.66418i | 0.0871092 | − | 0.119896i | ||||
\(935\) | 21.8332 | + | 16.2564i | 0.714023 | + | 0.531642i | ||||
\(936\) | −2.35208 | + | 11.2139i | −0.0768800 | + | 0.366538i | ||||
\(937\) | 4.74297 | + | 29.9460i | 0.154946 | + | 0.978292i | 0.935532 | + | 0.353243i | \(0.114921\pi\) |
−0.780586 | + | 0.625049i | \(0.785079\pi\) | |||||||
\(938\) | −3.28186 | − | 20.7208i | −0.107156 | − | 0.676559i | ||||
\(939\) | 1.03662 | + | 4.84488i | 0.0338290 | + | 0.158107i | ||||
\(940\) | 7.70480 | + | 5.73678i | 0.251303 | + | 0.187113i | ||||
\(941\) | −18.8958 | + | 26.0078i | −0.615984 | + | 0.847829i | −0.997053 | − | 0.0767174i | \(-0.975556\pi\) |
0.381069 | + | 0.924547i | \(0.375556\pi\) | |||||||
\(942\) | −2.51653 | − | 3.09912i | −0.0819929 | − | 0.100975i | ||||
\(943\) | −2.89354 | + | 2.89354i | −0.0942265 | + | 0.0942265i | ||||
\(944\) | 3.42517 | + | 10.5416i | 0.111480 | + | 0.343099i | ||||
\(945\) | −8.44497 | − | 56.0991i | −0.274715 | − | 1.82490i | ||||
\(946\) | 1.05348 | − | 3.24228i | 0.0342516 | − | 0.105416i | ||||
\(947\) | −7.77062 | − | 15.2507i | −0.252511 | − | 0.495581i | 0.729602 | − | 0.683872i | \(-0.239705\pi\) |
−0.982113 | + | 0.188291i | \(0.939705\pi\) | |||||||
\(948\) | −0.137604 | + | 0.212516i | −0.00446916 | + | 0.00690220i | ||||
\(949\) | 29.5884i | 0.960480i | ||||||||
\(950\) | 3.10543 | − | 0.417622i | 0.100753 | − | 0.0135494i | ||||
\(951\) | −17.9629 | + | 40.4919i | −0.582488 | + | 1.31304i | ||||
\(952\) | −23.1624 | − | 3.66856i | −0.750697 | − | 0.118899i | ||||
\(953\) | 20.7106 | − | 10.5526i | 0.670882 | − | 0.341831i | −0.0851482 | − | 0.996368i | \(-0.527136\pi\) |
0.756030 | + | 0.654537i | \(0.227136\pi\) | |||||||
\(954\) | 0.628499 | + | 1.40147i | 0.0203484 | + | 0.0453743i | ||||
\(955\) | 5.09003 | + | 34.7650i | 0.164709 | + | 1.12497i | ||||
\(956\) | −12.7051 | + | 4.12814i | −0.410912 | + | 0.133513i | ||||
\(957\) | 12.8158 | + | 33.2525i | 0.414275 | + | 1.07490i | ||||
\(958\) | 32.8918 | + | 16.7592i | 1.06269 | + | 0.541466i | ||||
\(959\) | 16.9881 | + | 12.3426i | 0.548575 | + | 0.398563i | ||||
\(960\) | −0.444700 | + | 3.84737i | −0.0143526 | + | 0.124173i | ||||
\(961\) | 22.9527 | − | 16.6761i | 0.740408 | − | 0.537938i | ||||
\(962\) | 13.9077 | − | 2.20276i | 0.448402 | − | 0.0710198i | ||||
\(963\) | 20.6791 | − | 25.6775i | 0.666375 | − | 0.827447i | ||||
\(964\) | −3.00113 | − | 4.13071i | −0.0966600 | − | 0.133041i | ||||
\(965\) | 0.0678938 | − | 5.80251i | 0.00218558 | − | 0.186789i | ||||
\(966\) | 2.76041 | + | 4.76635i | 0.0888147 | + | 0.153355i | ||||
\(967\) | −11.0422 | + | 21.6716i | −0.355094 | + | 0.696912i | −0.997591 | − | 0.0693770i | \(-0.977899\pi\) |
0.642496 | + | 0.766289i | \(0.277899\pi\) | |||||||
\(968\) | −3.23569 | − | 3.23569i | −0.103999 | − | 0.103999i | ||||
\(969\) | 0.537964 | − | 5.18547i | 0.0172819 | − | 0.166581i | ||||
\(970\) | −30.0583 | − | 15.7611i | −0.965114 | − | 0.506060i | ||||
\(971\) | 5.98620 | + | 1.94504i | 0.192106 | + | 0.0624192i | 0.403490 | − | 0.914984i | \(-0.367797\pi\) |
−0.211384 | + | 0.977403i | \(0.567797\pi\) | |||||||
\(972\) | −0.711119 | + | 15.5722i | −0.0228091 | + | 0.499479i | ||||
\(973\) | 2.24541 | − | 14.1770i | 0.0719846 | − | 0.454493i | ||||
\(974\) | 34.3914 | 1.10197 | ||||||||
\(975\) | −32.4972 | + | 6.16175i | −1.04074 | + | 0.197334i | ||||
\(976\) | 3.98485 | 0.127552 | ||||||||
\(977\) | 2.22604 | − | 14.0547i | 0.0712173 | − | 0.449649i | −0.926151 | − | 0.377152i | \(-0.876903\pi\) |
0.997369 | − | 0.0724964i | \(-0.0230966\pi\) | |||||||
\(978\) | −39.5948 | + | 2.12849i | −1.26610 | + | 0.0680615i | ||||
\(979\) | −26.6230 | − | 8.65033i | −0.850874 | − | 0.276466i | ||||
\(980\) | −16.7016 | − | 33.7492i | −0.533514 | − | 1.07808i | ||||
\(981\) | −26.6027 | + | 46.3649i | −0.849360 | + | 1.48032i | ||||
\(982\) | −11.7430 | − | 11.7430i | −0.374733 | − | 0.374733i | ||||
\(983\) | −7.65935 | + | 15.0323i | −0.244295 | + | 0.479457i | −0.980299 | − | 0.197521i | \(-0.936711\pi\) |
0.736003 | + | 0.676978i | \(0.236711\pi\) | |||||||
\(984\) | −9.41715 | + | 5.45390i | −0.300208 | + | 0.173864i | ||||
\(985\) | −12.2932 | − | 4.15393i | −0.391693 | − | 0.132355i | ||||
\(986\) | −22.9171 | − | 31.5427i | −0.729830 | − | 1.00452i | ||||
\(987\) | 35.1052 | + | 9.35581i | 1.11741 | + | 0.297799i | ||||
\(988\) | −2.36401 | + | 0.374422i | −0.0752090 | + | 0.0119119i | ||||
\(989\) | 0.708722 | − | 0.514916i | 0.0225360 | − | 0.0163734i | ||||
\(990\) | 3.68470 | − | 16.5983i | 0.117107 | − | 0.527530i | ||||
\(991\) | 24.1908 | + | 17.5757i | 0.768447 | + | 0.558310i | 0.901490 | − | 0.432801i | \(-0.142475\pi\) |
−0.133042 | + | 0.991110i | \(0.542475\pi\) | |||||||
\(992\) | −1.44469 | − | 0.736104i | −0.0458688 | − | 0.0233713i | ||||
\(993\) | 51.6729 | − | 19.9151i | 1.63979 | − | 0.631988i | ||||
\(994\) | −4.47751 | + | 1.45483i | −0.142018 | + | 0.0461445i | ||||
\(995\) | −6.03761 | − | 6.18058i | −0.191405 | − | 0.195937i | ||||
\(996\) | 10.2026 | + | 9.16167i | 0.323283 | + | 0.290299i | ||||
\(997\) | −12.5490 | + | 6.39403i | −0.397431 | + | 0.202501i | −0.641271 | − | 0.767314i | \(-0.721593\pi\) |
0.243841 | + | 0.969815i | \(0.421593\pi\) | |||||||
\(998\) | 23.3584 | + | 3.69960i | 0.739396 | + | 0.117109i | ||||
\(999\) | 18.1955 | − | 5.99337i | 0.575681 | − | 0.189622i |
(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 | 150.2.l.a.77.3 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.2.l.a.77.7 | yes | 80 | |
5.2 | odd | 4 | 750.2.l.a.593.1 | 80 | |||
5.3 | odd | 4 | 750.2.l.c.593.10 | 80 | |||
5.4 | even | 2 | 750.2.l.b.407.8 | 80 | |||
15.2 | even | 4 | 750.2.l.a.593.8 | 80 | |||
15.8 | even | 4 | 750.2.l.c.593.3 | 80 | |||
15.14 | odd | 2 | 750.2.l.b.407.4 | 80 | |||
25.9 | even | 10 | 750.2.l.a.707.8 | 80 | |||
25.12 | odd | 20 | 750.2.l.b.293.4 | 80 | |||
25.13 | odd | 20 | inner | 150.2.l.a.113.7 | yes | 80 | |
25.16 | even | 5 | 750.2.l.c.707.3 | 80 | |||
75.38 | even | 20 | inner | 150.2.l.a.113.3 | yes | 80 | |
75.41 | odd | 10 | 750.2.l.c.707.10 | 80 | |||
75.59 | odd | 10 | 750.2.l.a.707.1 | 80 | |||
75.62 | even | 20 | 750.2.l.b.293.8 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.l.a.77.3 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.2.l.a.77.7 | yes | 80 | 3.2 | odd | 2 | inner | |
150.2.l.a.113.3 | yes | 80 | 75.38 | even | 20 | inner | |
150.2.l.a.113.7 | yes | 80 | 25.13 | odd | 20 | inner | |
750.2.l.a.593.1 | 80 | 5.2 | odd | 4 | |||
750.2.l.a.593.8 | 80 | 15.2 | even | 4 | |||
750.2.l.a.707.1 | 80 | 75.59 | odd | 10 | |||
750.2.l.a.707.8 | 80 | 25.9 | even | 10 | |||
750.2.l.b.293.4 | 80 | 25.12 | odd | 20 | |||
750.2.l.b.293.8 | 80 | 75.62 | even | 20 | |||
750.2.l.b.407.4 | 80 | 15.14 | odd | 2 | |||
750.2.l.b.407.8 | 80 | 5.4 | even | 2 | |||
750.2.l.c.593.3 | 80 | 15.8 | even | 4 | |||
750.2.l.c.593.10 | 80 | 5.3 | odd | 4 | |||
750.2.l.c.707.3 | 80 | 25.16 | even | 5 | |||
750.2.l.c.707.10 | 80 | 75.41 | odd | 10 |