Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(161,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.k (of order \(10\), degree \(4\), 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 161.11 | ||
Character | \(\chi\) | \(=\) | 891.161 |
Dual form | 891.2.k.a.404.11 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.299321 | + | 0.217469i | 0.211652 | + | 0.153774i | 0.688561 | − | 0.725179i | \(-0.258243\pi\) |
−0.476909 | + | 0.878953i | \(0.658243\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.575734 | − | 1.77193i | −0.287867 | − | 0.885963i | ||||
\(5\) | 1.39685 | + | 1.92260i | 0.624691 | + | 0.859813i | 0.997684 | − | 0.0680209i | \(-0.0216685\pi\) |
−0.372993 | + | 0.927834i | \(0.621668\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.49987 | + | 0.487337i | −0.566898 | + | 0.184196i | −0.578422 | − | 0.815737i | \(-0.696331\pi\) |
0.0115248 | + | 0.999934i | \(0.496331\pi\) | |||||||
\(8\) | 0.441671 | − | 1.35932i | 0.156154 | − | 0.480594i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.879247i | 0.278042i | ||||||||
\(11\) | −1.13773 | + | 3.11538i | −0.343038 | + | 0.939321i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.60270 | + | 4.95870i | −0.999210 | + | 1.37529i | −0.0734014 | + | 0.997302i | \(0.523385\pi\) |
−0.925809 | + | 0.377992i | \(0.876615\pi\) | |||||||
\(14\) | −0.554923 | − | 0.180306i | −0.148310 | − | 0.0481887i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.58677 | + | 1.87940i | −0.646692 | + | 0.469849i | ||||
\(17\) | 0.887473 | − | 0.644787i | 0.215244 | − | 0.156384i | −0.474939 | − | 0.880019i | \(-0.657530\pi\) |
0.690183 | + | 0.723635i | \(0.257530\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.534855 | − | 0.173785i | −0.122704 | − | 0.0398690i | 0.247021 | − | 0.969010i | \(-0.420548\pi\) |
−0.369725 | + | 0.929141i | \(0.620548\pi\) | |||||||
\(20\) | 2.60249 | − | 3.58202i | 0.581935 | − | 0.800965i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.01805 | + | 0.685076i | −0.217048 | + | 0.146059i | ||||
\(23\) | 5.56398i | 1.16017i | 0.814556 | + | 0.580085i | \(0.196980\pi\) | ||||
−0.814556 | + | 0.580085i | \(0.803020\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.200115 | + | 0.615892i | −0.0400231 | + | 0.123178i | ||||
\(26\) | −2.15673 | + | 0.700764i | −0.422969 | + | 0.137431i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.72705 | + | 2.37708i | 0.326382 | + | 0.449227i | ||||
\(29\) | −0.229389 | − | 0.705986i | −0.0425964 | − | 0.131098i | 0.927497 | − | 0.373831i | \(-0.121956\pi\) |
−0.970093 | + | 0.242733i | \(0.921956\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.11890 | + | 3.71910i | 0.919382 | + | 0.667970i | 0.943370 | − | 0.331742i | \(-0.107636\pi\) |
−0.0239881 | + | 0.999712i | \(0.507636\pi\) | |||||||
\(32\) | −4.04154 | −0.714451 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.405861 | 0.0696045 | ||||||||
\(35\) | −3.03205 | − | 2.20291i | −0.512510 | − | 0.372360i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.32443 | + | 4.07617i | 0.217735 | + | 0.670118i | 0.998948 | + | 0.0458543i | \(0.0146010\pi\) |
−0.781214 | + | 0.624264i | \(0.785399\pi\) | |||||||
\(38\) | −0.122300 | − | 0.168332i | −0.0198397 | − | 0.0273070i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.23039 | − | 1.04962i | 0.510769 | − | 0.165959i | ||||
\(41\) | 3.75539 | − | 11.5579i | 0.586494 | − | 1.80504i | −0.00669163 | − | 0.999978i | \(-0.502130\pi\) |
0.593186 | − | 0.805066i | \(-0.297870\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.49248i | 1.29509i | 0.762027 | + | 0.647546i | \(0.224205\pi\) | ||||
−0.762027 | + | 0.647546i | \(0.775795\pi\) | |||||||
\(44\) | 6.17525 | + | 0.222344i | 0.930954 | + | 0.0335197i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.20999 | + | 1.66541i | −0.178404 | + | 0.245552i | ||||
\(47\) | 0.731927 | + | 0.237817i | 0.106763 | + | 0.0346892i | 0.361911 | − | 0.932213i | \(-0.382124\pi\) |
−0.255149 | + | 0.966902i | \(0.582124\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.65101 | + | 2.65261i | −0.521572 | + | 0.378944i | ||||
\(50\) | −0.193836 | + | 0.140830i | −0.0274126 | + | 0.0199164i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 10.8606 | + | 3.52884i | 1.50610 | + | 0.489362i | ||||
\(53\) | −2.66042 | + | 3.66175i | −0.365437 | + | 0.502981i | −0.951653 | − | 0.307174i | \(-0.900617\pi\) |
0.586217 | + | 0.810154i | \(0.300617\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.57886 | + | 2.16432i | −1.02193 | + | 0.291837i | ||||
\(56\) | 2.25405i | 0.301211i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.0848695 | − | 0.261201i | 0.0111439 | − | 0.0342974i | ||||
\(59\) | −0.0106843 | + | 0.00347154i | −0.00139098 | + | 0.000451956i | −0.309712 | − | 0.950830i | \(-0.600233\pi\) |
0.308321 | + | 0.951282i | \(0.400233\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.36853 | − | 4.63638i | −0.431296 | − | 0.593628i | 0.536954 | − | 0.843611i | \(-0.319575\pi\) |
−0.968250 | + | 0.249983i | \(0.919575\pi\) | |||||||
\(62\) | 0.723404 | + | 2.22641i | 0.0918724 | + | 0.282754i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.96382 | + | 2.87988i | 0.495477 | + | 0.359985i | ||||
\(65\) | −14.5660 | −1.80669 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.47666 | 0.180403 | 0.0902017 | − | 0.995924i | \(-0.471249\pi\) | ||||
0.0902017 | + | 0.995924i | \(0.471249\pi\) | |||||||
\(68\) | −1.65346 | − | 1.20131i | −0.200512 | − | 0.145680i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.428490 | − | 1.31876i | −0.0512143 | − | 0.157622i | ||||
\(71\) | 4.89992 | + | 6.74417i | 0.581514 | + | 0.800385i | 0.993860 | − | 0.110642i | \(-0.0352906\pi\) |
−0.412346 | + | 0.911027i | \(0.635291\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −14.9894 | + | 4.87035i | −1.75438 | + | 0.570031i | −0.996593 | − | 0.0824752i | \(-0.973717\pi\) |
−0.757783 | + | 0.652507i | \(0.773717\pi\) | |||||||
\(74\) | −0.490013 | + | 1.50811i | −0.0569629 | + | 0.175314i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.04778i | 0.120188i | ||||||||
\(77\) | 0.188206 | − | 5.22712i | 0.0214481 | − | 0.595685i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.86989 | − | 2.57368i | 0.210379 | − | 0.289562i | −0.690767 | − | 0.723077i | \(-0.742727\pi\) |
0.901146 | + | 0.433515i | \(0.142727\pi\) | |||||||
\(80\) | −7.22666 | − | 2.34809i | −0.807965 | − | 0.262524i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.63756 | − | 2.64284i | 0.401701 | − | 0.291853i | ||||
\(83\) | 8.40013 | − | 6.10305i | 0.922034 | − | 0.669897i | −0.0219956 | − | 0.999758i | \(-0.507002\pi\) |
0.944029 | + | 0.329861i | \(0.107002\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.47934 | + | 0.805585i | 0.268922 | + | 0.0873779i | ||||
\(86\) | −1.84685 | + | 2.54198i | −0.199151 | + | 0.274108i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.73231 | + | 2.92252i | 0.397865 | + | 0.311541i | ||||
\(89\) | 9.01115i | 0.955180i | 0.878583 | + | 0.477590i | \(0.158489\pi\) | ||||
−0.878583 | + | 0.477590i | \(0.841511\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.98703 | − | 9.19313i | 0.313126 | − | 0.963702i | ||||
\(92\) | 9.85896 | − | 3.20337i | 1.02787 | − | 0.333974i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.167363 | + | 0.230355i | 0.0172622 | + | 0.0237593i | ||||
\(95\) | −0.412994 | − | 1.27106i | −0.0423723 | − | 0.130408i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.48177 | − | 3.25619i | −0.455054 | − | 0.330616i | 0.336534 | − | 0.941671i | \(-0.390745\pi\) |
−0.791588 | + | 0.611055i | \(0.790745\pi\) | |||||||
\(98\) | −1.66968 | −0.168664 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.20653 | 0.120653 | ||||||||
\(101\) | 7.87579 | + | 5.72209i | 0.783670 | + | 0.569370i | 0.906078 | − | 0.423110i | \(-0.139062\pi\) |
−0.122408 | + | 0.992480i | \(0.539062\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.584954 | + | 1.80030i | 0.0576372 | + | 0.177389i | 0.975730 | − | 0.218976i | \(-0.0702715\pi\) |
−0.918093 | + | 0.396365i | \(0.870272\pi\) | |||||||
\(104\) | 5.14927 | + | 7.08736i | 0.504927 | + | 0.694973i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.59264 | + | 0.517480i | −0.154691 | + | 0.0502621i | ||||
\(107\) | 3.79203 | − | 11.6707i | 0.366590 | − | 1.12825i | −0.582390 | − | 0.812910i | \(-0.697882\pi\) |
0.948980 | − | 0.315337i | \(-0.102118\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 8.79322i | − | 0.842238i | −0.907005 | − | 0.421119i | \(-0.861638\pi\) | ||
0.907005 | − | 0.421119i | \(-0.138362\pi\) | |||||||
\(110\) | −2.73919 | − | 1.00034i | −0.261171 | − | 0.0953791i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.96392 | − | 4.07948i | 0.280064 | − | 0.385475i | ||||
\(113\) | −0.0441193 | − | 0.0143352i | −0.00415039 | − | 0.00134854i | 0.306941 | − | 0.951729i | \(-0.400695\pi\) |
−0.311091 | + | 0.950380i | \(0.600695\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.6973 | + | 7.77205i | −0.997529 | + | 0.724747i | ||||
\(116\) | −1.11889 | + | 0.812920i | −0.103886 | + | 0.0754777i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.00395298 | − | 0.00128440i | −0.000363902 | − | 0.000118239i | ||||
\(119\) | −1.01687 | + | 1.39960i | −0.0932159 | + | 0.128301i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.41115 | − | 7.08891i | −0.764650 | − | 0.644446i | ||||
\(122\) | − | 2.12032i | − | 0.191965i | ||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.64285 | − | 11.2115i | 0.327137 | − | 1.00683i | ||||
\(125\) | 9.83712 | − | 3.19627i | 0.879859 | − | 0.285883i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.88014 | + | 5.34055i | 0.344307 | + | 0.473898i | 0.945693 | − | 0.325061i | \(-0.105385\pi\) |
−0.601386 | + | 0.798958i | \(0.705385\pi\) | |||||||
\(128\) | 3.05798 | + | 9.41149i | 0.270290 | + | 0.831866i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.35992 | − | 3.16767i | −0.382390 | − | 0.277823i | ||||
\(131\) | 7.88337 | 0.688773 | 0.344387 | − | 0.938828i | \(-0.388087\pi\) | ||||
0.344387 | + | 0.938828i | \(0.388087\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.886904 | 0.0769044 | ||||||||
\(134\) | 0.441997 | + | 0.321129i | 0.0381827 | + | 0.0277414i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.484503 | − | 1.49115i | −0.0415458 | − | 0.127865i | ||||
\(137\) | −10.3791 | − | 14.2857i | −0.886749 | − | 1.22051i | −0.974505 | − | 0.224364i | \(-0.927970\pi\) |
0.0877559 | − | 0.996142i | \(-0.472030\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.3927 | + | 4.35156i | −1.13596 | + | 0.369094i | −0.815836 | − | 0.578283i | \(-0.803723\pi\) |
−0.320119 | + | 0.947377i | \(0.603723\pi\) | |||||||
\(140\) | −2.15775 | + | 6.64086i | −0.182363 | + | 0.561255i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.08425i | 0.258825i | ||||||||
\(143\) | −11.3493 | − | 16.8654i | −0.949077 | − | 1.41036i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.03691 | − | 1.42718i | 0.0861105 | − | 0.118521i | ||||
\(146\) | −5.54579 | − | 1.80194i | −0.458973 | − | 0.149129i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.46016 | − | 4.69358i | 0.531022 | − | 0.385810i | ||||
\(149\) | −11.5245 | + | 8.37303i | −0.944123 | + | 0.685946i | −0.949410 | − | 0.314040i | \(-0.898317\pi\) |
0.00528647 | + | 0.999986i | \(0.498317\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.45014 | − | 0.796099i | −0.199390 | − | 0.0647856i | 0.207620 | − | 0.978210i | \(-0.433428\pi\) |
−0.407009 | + | 0.913424i | \(0.633428\pi\) | |||||||
\(152\) | −0.472460 | + | 0.650285i | −0.0383216 | + | 0.0527451i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.19307 | − | 1.52366i | 0.0961405 | − | 0.122780i | ||||
\(155\) | 15.0366i | 1.20777i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.75945 | − | 5.41504i | 0.140420 | − | 0.432167i | −0.855974 | − | 0.517019i | \(-0.827042\pi\) |
0.996394 | + | 0.0848519i | \(0.0270417\pi\) | |||||||
\(158\) | 1.11939 | − | 0.363713i | 0.0890542 | − | 0.0289355i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −5.64543 | − | 7.77027i | −0.446311 | − | 0.614294i | ||||
\(161\) | −2.71153 | − | 8.34524i | −0.213699 | − | 0.657697i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.92500 | + | 5.03131i | 0.542408 | + | 0.394083i | 0.824979 | − | 0.565164i | \(-0.191187\pi\) |
−0.282570 | + | 0.959247i | \(0.591187\pi\) | |||||||
\(164\) | −22.6419 | −1.76803 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.84156 | 0.298163 | ||||||||
\(167\) | 2.46778 | + | 1.79294i | 0.190962 | + | 0.138742i | 0.679158 | − | 0.733992i | \(-0.262345\pi\) |
−0.488196 | + | 0.872734i | \(0.662345\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.59197 | − | 23.3657i | −0.583998 | − | 1.79736i | ||||
\(170\) | 0.566927 | + | 0.780308i | 0.0434813 | + | 0.0598469i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 15.0481 | − | 4.88941i | 1.14740 | − | 0.372814i | ||||
\(173\) | 3.51506 | − | 10.8183i | 0.267245 | − | 0.822497i | −0.723922 | − | 0.689882i | \(-0.757663\pi\) |
0.991168 | − | 0.132615i | \(-0.0423374\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 1.02128i | − | 0.0772016i | ||||||
\(176\) | −2.91199 | − | 10.1970i | −0.219500 | − | 0.768628i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.95965 | + | 2.69722i | −0.146882 | + | 0.202166i | ||||
\(179\) | 10.1952 | + | 3.31261i | 0.762023 | + | 0.247596i | 0.664147 | − | 0.747602i | \(-0.268795\pi\) |
0.0978766 | + | 0.995199i | \(0.468795\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.3857 | − | 10.4518i | 1.06928 | − | 0.776879i | 0.0934987 | − | 0.995619i | \(-0.470195\pi\) |
0.975783 | + | 0.218741i | \(0.0701949\pi\) | |||||||
\(182\) | 2.89330 | − | 2.10211i | 0.214466 | − | 0.155819i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.56325 | + | 2.45745i | 0.557570 | + | 0.181166i | ||||
\(185\) | −5.98682 | + | 8.24015i | −0.440160 | + | 0.605828i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.999050 | + | 3.49840i | 0.0730578 | + | 0.255829i | ||||
\(188\) | − | 1.43384i | − | 0.104574i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.152800 | − | 0.470269i | 0.0110853 | − | 0.0341169i | ||||
\(191\) | 19.4453 | − | 6.31817i | 1.40701 | − | 0.457167i | 0.495562 | − | 0.868572i | \(-0.334962\pi\) |
0.911452 | + | 0.411406i | \(0.134962\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.98083 | − | 12.3610i | −0.646454 | − | 0.889768i | 0.352485 | − | 0.935817i | \(-0.385337\pi\) |
−0.998939 | + | 0.0460498i | \(0.985337\pi\) | |||||||
\(194\) | −0.633364 | − | 1.94929i | −0.0454729 | − | 0.139951i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.80224 | + | 4.94212i | 0.485874 | + | 0.353008i | ||||
\(197\) | −13.1024 | −0.933507 | −0.466754 | − | 0.884387i | \(-0.654576\pi\) | ||||
−0.466754 | + | 0.884387i | \(0.654576\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.72311 | −0.334812 | −0.167406 | − | 0.985888i | \(-0.553539\pi\) | ||||
−0.167406 | + | 0.985888i | \(0.553539\pi\) | |||||||
\(200\) | 0.748812 | + | 0.544044i | 0.0529490 | + | 0.0384697i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.11301 | + | 3.42548i | 0.0783109 | + | 0.241016i | ||||
\(203\) | 0.688107 | + | 0.947098i | 0.0482956 | + | 0.0664732i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 27.4670 | − | 8.92456i | 1.91838 | − | 0.623319i | ||||
\(206\) | −0.216422 | + | 0.666078i | −0.0150788 | + | 0.0464078i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 19.5979i | − | 1.35887i | ||||||
\(209\) | 1.14992 | − | 1.46855i | 0.0795420 | − | 0.101582i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.4835 | − | 15.8056i | 0.790554 | − | 1.08810i | −0.203485 | − | 0.979078i | \(-0.565227\pi\) |
0.994039 | − | 0.109026i | \(-0.0347732\pi\) | |||||||
\(212\) | 8.02005 | + | 2.60587i | 0.550820 | + | 0.178972i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.67305 | − | 2.66863i | 0.251085 | − | 0.182424i | ||||
\(215\) | −16.3277 | + | 11.8627i | −1.11354 | + | 0.809032i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −9.49015 | − | 3.08354i | −0.644233 | − | 0.209324i | ||||
\(218\) | 1.91226 | − | 2.63199i | 0.129514 | − | 0.178261i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 8.19842 | + | 12.1831i | 0.552738 | + | 0.821386i | ||||
\(221\) | 6.72368i | 0.452284i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.07706 | + | 15.6256i | −0.339985 | + | 1.04637i | 0.624229 | + | 0.781242i | \(0.285413\pi\) |
−0.964214 | + | 0.265125i | \(0.914587\pi\) | |||||||
\(224\) | 6.06179 | − | 1.96959i | 0.405020 | − | 0.131599i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.0100884 | − | 0.0138854i | −0.000671067 | − | 0.000923645i | ||||
\(227\) | 8.39445 | + | 25.8355i | 0.557159 | + | 1.71476i | 0.690171 | + | 0.723646i | \(0.257535\pi\) |
−0.133012 | + | 0.991114i | \(0.542465\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.50738 | + | 2.54826i | 0.231774 | + | 0.168394i | 0.697611 | − | 0.716477i | \(-0.254247\pi\) |
−0.465837 | + | 0.884871i | \(0.654247\pi\) | |||||||
\(230\) | −4.89211 | −0.322576 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.06098 | −0.0696567 | ||||||||
\(233\) | 9.48697 | + | 6.89268i | 0.621512 | + | 0.451555i | 0.853449 | − | 0.521176i | \(-0.174506\pi\) |
−0.231937 | + | 0.972731i | \(0.574506\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.565165 | + | 1.73940i | 0.0368673 | + | 0.113466i | ||||
\(236\) | 0.0123026 | + | 0.0169331i | 0.000800832 | + | 0.00110225i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.608738 | + | 0.197791i | −0.0394586 | + | 0.0128209i | ||||
\(239\) | 5.54433 | − | 17.0637i | 0.358633 | − | 1.10376i | −0.595240 | − | 0.803548i | \(-0.702943\pi\) |
0.953873 | − | 0.300210i | \(-0.0970569\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.67184i | 0.172108i | 0.996290 | + | 0.0860541i | \(0.0274258\pi\) | ||||
−0.996290 | + | 0.0860541i | \(0.972574\pi\) | |||||||
\(242\) | −0.976011 | − | 3.95102i | −0.0627404 | − | 0.253982i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.27595 | + | 8.63811i | −0.401777 | + | 0.552998i | ||||
\(245\) | −10.1998 | − | 3.31412i | −0.651643 | − | 0.211732i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.78867 | − | 2.02609i | 0.177439 | − | 0.128917i | ||||
\(248\) | 7.31634 | − | 5.31563i | 0.464588 | − | 0.337543i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.63955 | + | 1.18256i | 0.230185 | + | 0.0747917i | ||||
\(251\) | 7.98861 | − | 10.9954i | 0.504237 | − | 0.694022i | −0.478697 | − | 0.877980i | \(-0.658891\pi\) |
0.982934 | + | 0.183958i | \(0.0588909\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −17.3339 | − | 6.33030i | −1.08977 | − | 0.397982i | ||||
\(254\) | 2.44235i | 0.153247i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.89669 | − | 5.83743i | 0.118543 | − | 0.364839i | ||||
\(257\) | 4.52222 | − | 1.46936i | 0.282088 | − | 0.0916561i | −0.164556 | − | 0.986368i | \(-0.552619\pi\) |
0.446644 | + | 0.894712i | \(0.352619\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.97294 | − | 5.46828i | −0.246866 | − | 0.339783i | ||||
\(260\) | 8.38616 | + | 25.8099i | 0.520088 | + | 1.60066i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.35966 | + | 1.71439i | 0.145780 | + | 0.105915i | ||||
\(263\) | 18.5223 | 1.14213 | 0.571067 | − | 0.820903i | \(-0.306529\pi\) | ||||
0.571067 | + | 0.820903i | \(0.306529\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −10.7563 | −0.660754 | ||||||||
\(266\) | 0.265469 | + | 0.192875i | 0.0162770 | + | 0.0118259i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.850166 | − | 2.61654i | −0.0519322 | − | 0.159831i | ||||
\(269\) | 12.6954 | + | 17.4737i | 0.774049 | + | 1.06539i | 0.995914 | + | 0.0903100i | \(0.0287858\pi\) |
−0.221864 | + | 0.975078i | \(0.571214\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.869236 | + | 0.282432i | −0.0528023 | + | 0.0171565i | −0.335299 | − | 0.942112i | \(-0.608837\pi\) |
0.282497 | + | 0.959268i | \(0.408837\pi\) | |||||||
\(272\) | −1.08388 | + | 3.33583i | −0.0657197 | + | 0.202264i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 6.53314i | − | 0.394681i | ||||||
\(275\) | −1.69106 | − | 1.32415i | −0.101975 | − | 0.0798494i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.70688 | − | 11.9840i | 0.523145 | − | 0.720048i | −0.462921 | − | 0.886400i | \(-0.653199\pi\) |
0.986067 | + | 0.166352i | \(0.0531986\pi\) | |||||||
\(278\) | −4.95505 | − | 1.60999i | −0.297184 | − | 0.0965610i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −4.33365 | + | 3.14858i | −0.258985 | + | 0.188164i | ||||
\(281\) | 1.48662 | − | 1.08010i | 0.0886846 | − | 0.0644331i | −0.542559 | − | 0.840017i | \(-0.682545\pi\) |
0.631244 | + | 0.775584i | \(0.282545\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.4793 | − | 3.72985i | −0.682373 | − | 0.221716i | −0.0527388 | − | 0.998608i | \(-0.516795\pi\) |
−0.629634 | + | 0.776892i | \(0.716795\pi\) | |||||||
\(284\) | 9.12912 | − | 12.5652i | 0.541713 | − | 0.745605i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.270630 | − | 7.51630i | 0.0160027 | − | 0.444448i | ||||
\(287\) | 19.1655i | 1.13130i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.88143 | + | 15.0235i | −0.287143 | + | 0.883735i | ||||
\(290\) | 0.620736 | − | 0.201689i | 0.0364509 | − | 0.0118436i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 17.2598 | + | 23.7561i | 1.01005 | + | 1.39022i | ||||
\(293\) | 5.27855 | + | 16.2457i | 0.308376 | + | 0.949085i | 0.978396 | + | 0.206741i | \(0.0662858\pi\) |
−0.670019 | + | 0.742344i | \(0.733714\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0215987 | − | 0.0156924i | −0.00125753 | − | 0.000913647i | ||||
\(296\) | 6.12580 | 0.356055 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.27040 | −0.305306 | ||||||||
\(299\) | −27.5901 | − | 20.0454i | −1.59557 | − | 1.15925i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.13870 | − | 12.7376i | −0.238551 | − | 0.734184i | ||||
\(302\) | −0.560251 | − | 0.771119i | −0.0322388 | − | 0.0443729i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.71016 | − | 0.555663i | 0.0980842 | − | 0.0318695i | ||||
\(305\) | 4.20858 | − | 12.9527i | 0.240983 | − | 0.741668i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.6906i | 0.952585i | 0.879287 | + | 0.476293i | \(0.158020\pi\) | ||||
−0.879287 | + | 0.476293i | \(0.841980\pi\) | |||||||
\(308\) | −9.37043 | + | 2.67594i | −0.533930 | + | 0.152476i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.27001 | + | 4.50078i | −0.185724 | + | 0.255627i | ||||
\(311\) | −28.0994 | − | 9.13006i | −1.59337 | − | 0.517718i | −0.627915 | − | 0.778282i | \(-0.716092\pi\) |
−0.965457 | + | 0.260564i | \(0.916092\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.0604 | + | 9.48891i | −0.738215 | + | 0.536345i | −0.892152 | − | 0.451736i | \(-0.850805\pi\) |
0.153936 | + | 0.988081i | \(0.450805\pi\) | |||||||
\(314\) | 1.70424 | − | 1.23821i | 0.0961761 | − | 0.0698760i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.63693 | − | 1.83155i | −0.317102 | − | 0.103033i | ||||
\(317\) | −4.92818 | + | 6.78306i | −0.276794 | + | 0.380974i | −0.924669 | − | 0.380773i | \(-0.875658\pi\) |
0.647875 | + | 0.761747i | \(0.275658\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.46039 | + | 0.0885883i | 0.137756 | + | 0.00495999i | ||||
\(320\) | 11.6436i | 0.650898i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.00322 | − | 3.08758i | 0.0559070 | − | 0.172064i | ||||
\(323\) | −0.586723 | + | 0.190638i | −0.0326462 | + | 0.0106074i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.33306 | − | 3.21119i | −0.129415 | − | 0.178125i | ||||
\(326\) | 0.978643 | + | 3.01195i | 0.0542020 | + | 0.166817i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −14.0523 | − | 10.2096i | −0.775909 | − | 0.563731i | ||||
\(329\) | −1.21369 | −0.0669130 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.00708 | −0.0553542 | −0.0276771 | − | 0.999617i | \(-0.508811\pi\) | ||||
−0.0276771 | + | 0.999617i | \(0.508811\pi\) | |||||||
\(332\) | −15.6504 | − | 11.3707i | −0.858927 | − | 0.624047i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.348746 | + | 1.07333i | 0.0190826 | + | 0.0587301i | ||||
\(335\) | 2.06268 | + | 2.83904i | 0.112696 | + | 0.155113i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.1314 | − | 6.86601i | 1.15110 | − | 0.374015i | 0.329543 | − | 0.944141i | \(-0.393105\pi\) |
0.821558 | + | 0.570125i | \(0.193105\pi\) | |||||||
\(338\) | 2.80889 | − | 8.64486i | 0.152783 | − | 0.470218i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 4.85700i | − | 0.263408i | ||||||
\(341\) | −17.4103 | + | 11.7160i | −0.942822 | + | 0.634456i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.6721 | − | 14.6889i | 0.576240 | − | 0.793126i | ||||
\(344\) | 11.5440 | + | 3.75089i | 0.622413 | + | 0.202234i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.40477 | − | 2.47371i | 0.183042 | − | 0.132988i | ||||
\(347\) | −9.70317 | + | 7.04977i | −0.520894 | + | 0.378451i | −0.816940 | − | 0.576722i | \(-0.804332\pi\) |
0.296047 | + | 0.955173i | \(0.404332\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −9.66986 | − | 3.14193i | −0.517616 | − | 0.168183i | 0.0385474 | − | 0.999257i | \(-0.487727\pi\) |
−0.556163 | + | 0.831073i | \(0.687727\pi\) | |||||||
\(350\) | 0.222097 | − | 0.305691i | 0.0118716 | − | 0.0163399i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.59818 | − | 12.5909i | 0.245084 | − | 0.671099i | ||||
\(353\) | − | 4.61511i | − | 0.245638i | −0.992429 | − | 0.122819i | \(-0.960807\pi\) | ||
0.992429 | − | 0.122819i | \(-0.0391934\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.12188 | + | 18.8412i | −0.324915 | + | 0.999987i | ||||
\(356\) | 15.9671 | − | 5.18802i | 0.846254 | − | 0.274965i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.33124 | + | 3.20867i | 0.123210 | + | 0.169584i | ||||
\(359\) | −2.51158 | − | 7.72985i | −0.132556 | − | 0.407966i | 0.862646 | − | 0.505809i | \(-0.168806\pi\) |
−0.995202 | + | 0.0978426i | \(0.968806\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.1155 | − | 10.9820i | −0.795550 | − | 0.578001i | ||||
\(362\) | 6.57890 | 0.345779 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −18.0093 | −0.943943 | ||||||||
\(365\) | −30.3017 | − | 22.0155i | −1.58606 | − | 1.15234i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.7284 | + | 36.0963i | 0.612217 | + | 1.88421i | 0.436289 | + | 0.899807i | \(0.356293\pi\) |
0.175928 | + | 0.984403i | \(0.443707\pi\) | |||||||
\(368\) | −10.4569 | − | 14.3927i | −0.545105 | − | 0.750272i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.58396 | + | 1.16450i | −0.186321 | + | 0.0605394i | ||||
\(371\) | 2.20578 | − | 6.78868i | 0.114518 | − | 0.352451i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.48359i | 0.335707i | 0.985812 | + | 0.167854i | \(0.0536836\pi\) | ||||
−0.985812 | + | 0.167854i | \(0.946316\pi\) | |||||||
\(374\) | −0.461759 | + | 1.26441i | −0.0238770 | + | 0.0653810i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.646542 | − | 0.889889i | 0.0333429 | − | 0.0458925i | ||||
\(377\) | 4.32719 | + | 1.40599i | 0.222862 | + | 0.0724121i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.0492 | + | 7.30119i | −0.516194 | + | 0.375037i | −0.815168 | − | 0.579224i | \(-0.803356\pi\) |
0.298974 | + | 0.954261i | \(0.403356\pi\) | |||||||
\(380\) | −2.01446 | + | 1.46359i | −0.103339 | + | 0.0750805i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 7.19440 | + | 2.33760i | 0.368098 | + | 0.119602i | ||||
\(383\) | 8.38804 | − | 11.5452i | 0.428609 | − | 0.589930i | −0.539024 | − | 0.842290i | \(-0.681207\pi\) |
0.967633 | + | 0.252361i | \(0.0812069\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.3126 | − | 6.93966i | 0.525577 | − | 0.353678i | ||||
\(386\) | − | 5.65297i | − | 0.287729i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.18943 | + | 9.81606i | −0.161919 | + | 0.498335i | ||||
\(389\) | 10.2422 | − | 3.32789i | 0.519300 | − | 0.168731i | −0.0376278 | − | 0.999292i | \(-0.511980\pi\) |
0.556927 | + | 0.830561i | \(0.311980\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.58758 | + | 4.93788i | 0.181432 | + | 0.249719i | ||||
\(392\) | 1.99322 | + | 6.13449i | 0.100673 | + | 0.309838i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.92182 | − | 2.84937i | −0.197578 | − | 0.143549i | ||||
\(395\) | 7.56012 | 0.380391 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.8356 | 0.694387 | 0.347193 | − | 0.937794i | \(-0.387135\pi\) | ||||
0.347193 | + | 0.937794i | \(0.387135\pi\) | |||||||
\(398\) | −1.41373 | − | 1.02713i | −0.0708637 | − | 0.0514855i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.639853 | − | 1.96927i | −0.0319927 | − | 0.0984633i | ||||
\(401\) | 21.0754 | + | 29.0078i | 1.05245 | + | 1.44858i | 0.886662 | + | 0.462418i | \(0.153018\pi\) |
0.165792 | + | 0.986161i | \(0.446982\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −36.8838 | + | 11.9843i | −1.83731 | + | 0.596979i | ||||
\(404\) | 5.60477 | − | 17.2497i | 0.278848 | − | 0.858206i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.433128i | 0.0214958i | ||||||||
\(407\) | −14.2056 | − | 0.511484i | −0.704148 | − | 0.0253533i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.23715 | + | 12.7138i | −0.456748 | + | 0.628659i | −0.973830 | − | 0.227276i | \(-0.927018\pi\) |
0.517083 | + | 0.855935i | \(0.327018\pi\) | |||||||
\(410\) | 10.1623 | + | 3.30192i | 0.501878 | + | 0.163070i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.85323 | − | 2.07299i | 0.140568 | − | 0.102129i | ||||
\(413\) | 0.0143332 | − | 0.0104137i | 0.000705293 | − | 0.000512425i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 23.4675 | + | 7.62504i | 1.15197 | + | 0.374298i | ||||
\(416\) | 14.5605 | − | 20.0408i | 0.713886 | − | 0.982580i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.663562 | − | 0.189495i | 0.0324559 | − | 0.00926853i | ||||
\(419\) | 15.2101i | 0.743062i | 0.928421 | + | 0.371531i | \(0.121167\pi\) | ||||
−0.928421 | + | 0.371531i | \(0.878833\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.75191 | + | 11.5472i | −0.182857 | + | 0.562776i | −0.999905 | − | 0.0137940i | \(-0.995609\pi\) |
0.817048 | + | 0.576570i | \(0.195609\pi\) | |||||||
\(422\) | 6.87448 | − | 2.23365i | 0.334644 | − | 0.108733i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.80248 | + | 5.23367i | 0.184665 | + | 0.254169i | ||||
\(425\) | 0.219522 | + | 0.675619i | 0.0106484 | + | 0.0327723i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.31184 | + | 5.31236i | 0.353845 | + | 0.257083i | ||||
\(428\) | −22.8628 | −1.10511 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.46699 | −0.360090 | ||||||||
\(431\) | −20.7468 | − | 15.0734i | −0.999336 | − | 0.726060i | −0.0373906 | − | 0.999301i | \(-0.511905\pi\) |
−0.961946 | + | 0.273240i | \(0.911905\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.399073 | − | 1.22822i | −0.0191782 | − | 0.0590245i | 0.941009 | − | 0.338380i | \(-0.109879\pi\) |
−0.960188 | + | 0.279356i | \(0.909879\pi\) | |||||||
\(434\) | −2.17002 | − | 2.98678i | −0.104165 | − | 0.143370i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −15.5809 | + | 5.06256i | −0.746192 | + | 0.242452i | ||||
\(437\) | 0.966935 | − | 2.97592i | 0.0462548 | − | 0.142357i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 8.98876i | − | 0.429010i | −0.976723 | − | 0.214505i | \(-0.931186\pi\) | ||
0.976723 | − | 0.214505i | \(-0.0688138\pi\) | |||||||
\(440\) | −0.405354 | + | 11.2581i | −0.0193245 | + | 0.536707i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.46220 | + | 2.01254i | −0.0695495 | + | 0.0957267i | ||||
\(443\) | 13.6420 | + | 4.43255i | 0.648151 | + | 0.210597i | 0.614599 | − | 0.788840i | \(-0.289318\pi\) |
0.0335523 | + | 0.999437i | \(0.489318\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −17.3248 | + | 12.5872i | −0.821276 | + | 0.596692i | ||||
\(446\) | −4.91776 | + | 3.57296i | −0.232863 | + | 0.169185i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.34869 | − | 2.38773i | −0.347193 | − | 0.112810i | ||||
\(449\) | 8.37515 | − | 11.5274i | 0.395248 | − | 0.544012i | −0.564296 | − | 0.825573i | \(-0.690852\pi\) |
0.959543 | + | 0.281561i | \(0.0908522\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 31.7346 | + | 24.8492i | 1.49433 | + | 1.17011i | ||||
\(452\) | 0.0864294i | 0.00406530i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.10579 | + | 9.55863i | −0.145762 | + | 0.448609i | ||||
\(455\) | 21.8472 | − | 7.09857i | 1.02421 | − | 0.332786i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.2683 | + | 21.0150i | 0.714220 | + | 0.983039i | 0.999696 | + | 0.0246533i | \(0.00784819\pi\) |
−0.285476 | + | 0.958386i | \(0.592152\pi\) | |||||||
\(458\) | 0.495664 | + | 1.52550i | 0.0231608 | + | 0.0712817i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 19.9303 | + | 14.4802i | 0.929255 | + | 0.675143i | ||||
\(461\) | −11.6547 | −0.542812 | −0.271406 | − | 0.962465i | \(-0.587489\pi\) | ||||
−0.271406 | + | 0.962465i | \(0.587489\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.6647 | 0.867423 | 0.433712 | − | 0.901052i | \(-0.357204\pi\) | ||||
0.433712 | + | 0.901052i | \(0.357204\pi\) | |||||||
\(464\) | 1.92020 | + | 1.39511i | 0.0891432 | + | 0.0647664i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.34070 | + | 4.12625i | 0.0621067 | + | 0.191145i | ||||
\(467\) | −1.77499 | − | 2.44307i | −0.0821369 | − | 0.113052i | 0.765971 | − | 0.642875i | \(-0.222258\pi\) |
−0.848108 | + | 0.529823i | \(0.822258\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.21481 | + | 0.719634i | −0.102270 | + | 0.0332296i | ||||
\(470\) | −0.209100 | + | 0.643544i | −0.00964508 | + | 0.0296845i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.0160567i | 0.000739070i | ||||||||
\(473\) | −26.4573 | − | 9.66214i | −1.21651 | − | 0.444266i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.214065 | − | 0.294636i | 0.00982199 | − | 0.0135188i | ||||
\(476\) | 3.06542 | + | 0.996017i | 0.140503 | + | 0.0456523i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5.37036 | − | 3.90180i | 0.245635 | − | 0.178464i | ||||
\(479\) | −31.2962 | + | 22.7380i | −1.42996 | + | 1.03893i | −0.439933 | + | 0.898031i | \(0.644998\pi\) |
−0.990025 | + | 0.140895i | \(0.955002\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −24.9840 | − | 8.11780i | −1.13917 | − | 0.370140i | ||||
\(482\) | −0.581043 | + | 0.799737i | −0.0264658 | + | 0.0364270i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.71845 | + | 18.9853i | −0.350838 | + | 0.862966i | ||||
\(485\) | − | 13.1651i | − | 0.597795i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.79422 | + | 11.6774i | −0.171933 | + | 0.529154i | −0.999480 | − | 0.0322416i | \(-0.989735\pi\) |
0.827548 | + | 0.561396i | \(0.189735\pi\) | |||||||
\(488\) | −7.79013 | + | 2.53117i | −0.352643 | + | 0.114581i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.33230 | − | 3.21014i | −0.105363 | − | 0.145019i | ||||
\(491\) | 11.2694 | + | 34.6836i | 0.508580 | + | 1.56525i | 0.794667 | + | 0.607045i | \(0.207645\pi\) |
−0.286087 | + | 0.958204i | \(0.592355\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.658787 | − | 0.478637i | −0.0296703 | − | 0.0215567i | ||||
\(494\) | 1.27532 | 0.0573793 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −20.2311 | −0.908403 | ||||||||
\(497\) | −10.6359 | − | 7.72746i | −0.477087 | − | 0.346624i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.50331 | + | 23.0928i | 0.335894 | + | 1.03378i | 0.966280 | + | 0.257494i | \(0.0828968\pi\) |
−0.630386 | + | 0.776282i | \(0.717103\pi\) | |||||||
\(500\) | −11.3271 | − | 15.5905i | −0.506564 | − | 0.697226i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.78232 | − | 1.55387i | 0.213445 | − | 0.0693526i | ||||
\(503\) | −6.87821 | + | 21.1689i | −0.306684 | + | 0.943876i | 0.672359 | + | 0.740225i | \(0.265281\pi\) |
−0.979043 | + | 0.203652i | \(0.934719\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 23.1349i | 1.02949i | ||||||||
\(506\) | −3.81175 | − | 5.66438i | −0.169453 | − | 0.251812i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.22914 | − | 9.95006i | 0.320741 | − | 0.441463i | ||||
\(509\) | 26.9514 | + | 8.75705i | 1.19460 | + | 0.388150i | 0.837772 | − | 0.546020i | \(-0.183858\pi\) |
0.356830 | + | 0.934170i | \(0.383858\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 20.1086 | − | 14.6098i | 0.889554 | − | 0.646299i | ||||
\(512\) | 17.8490 | − | 12.9680i | 0.788820 | − | 0.573111i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.67314 | + | 0.543635i | 0.0737989 | + | 0.0239787i | ||||
\(515\) | −2.64417 | + | 3.63939i | −0.116516 | + | 0.160371i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.57363 | + | 2.00966i | −0.0692080 | + | 0.0883846i | ||||
\(518\) | − | 2.50076i | − | 0.109877i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.43340 | + | 19.8000i | −0.282123 | + | 0.868286i | ||||
\(521\) | 14.9548 | − | 4.85911i | 0.655182 | − | 0.212882i | 0.0374843 | − | 0.999297i | \(-0.488066\pi\) |
0.617698 | + | 0.786416i | \(0.288066\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.59617 | + | 11.8316i | 0.375884 | + | 0.517360i | 0.954488 | − | 0.298248i | \(-0.0964023\pi\) |
−0.578604 | + | 0.815609i | \(0.696402\pi\) | |||||||
\(524\) | −4.53872 | − | 13.9688i | −0.198275 | − | 0.610228i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.54412 | + | 4.02804i | 0.241735 | + | 0.175631i | ||||
\(527\) | 6.94091 | 0.302351 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −7.95782 | −0.345992 | ||||||||
\(530\) | −3.21959 | − | 2.33917i | −0.139850 | − | 0.101607i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.510621 | − | 1.57153i | −0.0221382 | − | 0.0681345i | ||||
\(533\) | 43.7826 | + | 60.2616i | 1.89644 | + | 2.61022i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 27.7350 | − | 9.01164i | 1.19909 | − | 0.389607i | ||||
\(536\) | 0.652201 | − | 2.00727i | 0.0281708 | − | 0.0867007i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 7.99108i | 0.344520i | ||||||||
\(539\) | −4.11003 | − | 14.3922i | −0.177031 | − | 0.619916i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.4934 | − | 14.4429i | 0.451146 | − | 0.620950i | −0.521497 | − | 0.853253i | \(-0.674626\pi\) |
0.972643 | + | 0.232303i | \(0.0746262\pi\) | |||||||
\(542\) | −0.321601 | − | 0.104494i | −0.0138139 | − | 0.00448842i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.58676 | + | 2.60593i | −0.153781 | + | 0.111728i | ||||
\(545\) | 16.9059 | − | 12.2828i | 0.724167 | − | 0.526138i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.29253 | + | 1.39473i | 0.183535 | + | 0.0596342i | 0.399343 | − | 0.916802i | \(-0.369238\pi\) |
−0.215807 | + | 0.976436i | \(0.569238\pi\) | |||||||
\(548\) | −19.3375 | + | 26.6158i | −0.826058 | + | 1.13697i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.218206 | − | 0.764100i | −0.00930435 | − | 0.0325813i | ||||
\(551\) | 0.417464i | 0.0177846i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.55034 | + | 4.77146i | −0.0659272 | + | 0.202903i | ||||
\(554\) | 5.21230 | − | 1.69358i | 0.221449 | − | 0.0719533i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 15.4213 | + | 21.2256i | 0.654008 | + | 0.900165i | ||||
\(557\) | 8.48770 | + | 26.1225i | 0.359635 | + | 1.10684i | 0.953273 | + | 0.302111i | \(0.0976914\pi\) |
−0.593637 | + | 0.804733i | \(0.702309\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −42.1116 | − | 30.5959i | −1.78113 | − | 1.29407i | ||||
\(560\) | 11.9834 | 0.506390 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.679865 | 0.0286784 | ||||||||
\(563\) | −8.46897 | − | 6.15307i | −0.356925 | − | 0.259321i | 0.394844 | − | 0.918748i | \(-0.370799\pi\) |
−0.751768 | + | 0.659427i | \(0.770799\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.0340672 | − | 0.104848i | −0.00143322 | − | 0.00441099i | ||||
\(566\) | −2.62486 | − | 3.61281i | −0.110331 | − | 0.151858i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 11.3317 | − | 3.68188i | 0.475466 | − | 0.154488i | ||||
\(569\) | 11.4567 | − | 35.2600i | 0.480288 | − | 1.47818i | −0.358402 | − | 0.933567i | \(-0.616678\pi\) |
0.838690 | − | 0.544608i | \(-0.183322\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.14821i | 0.257295i | 0.991690 | + | 0.128647i | \(0.0410635\pi\) | ||||
−0.991690 | + | 0.128647i | \(0.958936\pi\) | |||||||
\(572\) | −23.3501 | + | 29.8201i | −0.976318 | + | 1.24684i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.16791 | + | 5.73664i | −0.173965 | + | 0.239443i | ||||
\(575\) | −3.42681 | − | 1.11344i | −0.142908 | − | 0.0464335i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.59300 | + | 6.24318i | −0.357731 | + | 0.259907i | −0.752105 | − | 0.659043i | \(-0.770961\pi\) |
0.394374 | + | 0.918950i | \(0.370961\pi\) | |||||||
\(578\) | −4.72826 | + | 3.43529i | −0.196670 | + | 0.142889i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.12584 | − | 1.01565i | −0.129794 | − | 0.0421725i | ||||
\(581\) | −9.62486 | + | 13.2475i | −0.399306 | + | 0.549598i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −8.38091 | − | 12.4543i | −0.347102 | − | 0.515804i | ||||
\(584\) | 22.5266i | 0.932155i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.95296 | + | 6.01061i | −0.0806762 | + | 0.248296i | ||||
\(587\) | 5.97470 | − | 1.94130i | 0.246602 | − | 0.0801259i | −0.183108 | − | 0.983093i | \(-0.558616\pi\) |
0.429710 | + | 0.902967i | \(0.358616\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.09155 | − | 2.87877i | −0.0861806 | − | 0.118617i | ||||
\(590\) | −0.00305234 | − | 0.00939413i | −0.000125663 | − | 0.000386750i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −11.0867 | − | 8.05498i | −0.455662 | − | 0.331058i | ||||
\(593\) | −13.2967 | −0.546030 | −0.273015 | − | 0.962010i | \(-0.588021\pi\) | ||||
−0.273015 | + | 0.962010i | \(0.588021\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.11127 | −0.168546 | ||||||||
\(596\) | 21.4714 | + | 15.5999i | 0.879505 | + | 0.638997i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.89903 | − | 12.0000i | −0.159443 | − | 0.490716i | ||||
\(599\) | −20.5665 | − | 28.3074i | −0.840325 | − | 1.15661i | −0.985912 | − | 0.167263i | \(-0.946507\pi\) |
0.145587 | − | 0.989345i | \(-0.453493\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.01758 | + | 1.63031i | −0.204671 | + | 0.0665017i | −0.409558 | − | 0.912284i | \(-0.634317\pi\) |
0.204887 | + | 0.978786i | \(0.434317\pi\) | |||||||
\(602\) | 1.53124 | − | 4.71268i | 0.0624087 | − | 0.192074i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.79981i | 0.195301i | ||||||||
\(605\) | 1.88002 | − | 26.0734i | 0.0764338 | − | 1.06004i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.2253 | + | 16.8267i | −0.496211 | + | 0.682976i | −0.981518 | − | 0.191367i | \(-0.938708\pi\) |
0.485307 | + | 0.874344i | \(0.338708\pi\) | |||||||
\(608\) | 2.16164 | + | 0.702359i | 0.0876660 | + | 0.0284844i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.07653 | − | 2.96177i | 0.165054 | − | 0.119919i | ||||
\(611\) | −3.81618 | + | 2.77262i | −0.154386 | + | 0.112168i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −25.6016 | − | 8.31845i | −1.03404 | − | 0.335979i | −0.257652 | − | 0.966238i | \(-0.582949\pi\) |
−0.776385 | + | 0.630259i | \(0.782949\pi\) | |||||||
\(614\) | −3.62970 | + | 4.99586i | −0.146483 | + | 0.201616i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.02223 | − | 2.56450i | −0.282934 | − | 0.103327i | ||||
\(617\) | − | 33.5621i | − | 1.35116i | −0.737287 | − | 0.675580i | \(-0.763893\pi\) | ||
0.737287 | − | 0.675580i | \(-0.236107\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.5298 | − | 35.4851i | 0.463422 | − | 1.42627i | −0.397534 | − | 0.917588i | \(-0.630134\pi\) |
0.860956 | − | 0.508680i | \(-0.169866\pi\) | |||||||
\(620\) | 26.6438 | − | 8.65710i | 1.07004 | − | 0.347678i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.42524 | − | 8.84358i | −0.257629 | − | 0.354595i | ||||
\(623\) | −4.39147 | − | 13.5156i | −0.175940 | − | 0.541489i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.5057 | + | 16.3513i | 0.900228 | + | 0.654054i | ||||
\(626\) | −5.97279 | −0.238721 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −10.6080 | −0.423306 | ||||||||
\(629\) | 3.80365 | + | 2.76352i | 0.151662 | + | 0.110189i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.33541 | − | 16.4207i | −0.212399 | − | 0.653698i | −0.999328 | − | 0.0366537i | \(-0.988330\pi\) |
0.786929 | − | 0.617044i | \(-0.211670\pi\) | |||||||
\(632\) | −2.67259 | − | 3.67851i | −0.106310 | − | 0.146323i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.95021 | + | 0.958583i | −0.117168 | + | 0.0380702i | ||||
\(635\) | −4.84778 | + | 14.9199i | −0.192378 | + | 0.592079i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − | 27.6608i | − | 1.09596i | ||||||
\(638\) | 0.717182 | + | 0.561577i | 0.0283935 | + | 0.0222330i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.8230 | + | 19.0257i | −0.546402 | + | 0.752058i | ||||
\(641\) | −8.97340 | − | 2.91563i | −0.354428 | − | 0.115161i | 0.126391 | − | 0.991980i | \(-0.459661\pi\) |
−0.480819 | + | 0.876820i | \(0.659661\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.60864 | + | 4.80146i | −0.260619 | + | 0.189351i | −0.710420 | − | 0.703778i | \(-0.751495\pi\) |
0.449801 | + | 0.893129i | \(0.351495\pi\) | |||||||
\(644\) | −13.2260 | + | 9.60928i | −0.521179 | + | 0.378659i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.217076 | − | 0.0705324i | −0.00854076 | − | 0.00277506i | ||||
\(647\) | −12.6621 | + | 17.4279i | −0.497799 | + | 0.685162i | −0.981803 | − | 0.189904i | \(-0.939182\pi\) |
0.484003 | + | 0.875066i | \(0.339182\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.00134068 | − | 0.0372353i | 5.26264e−5 | − | 0.00146161i | ||||
\(650\) | − | 1.46855i | − | 0.0576011i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.92815 | − | 15.1673i | 0.193001 | − | 0.593997i | ||||
\(653\) | 43.4797 | − | 14.1274i | 1.70149 | − | 0.552848i | 0.712610 | − | 0.701560i | \(-0.247513\pi\) |
0.988880 | + | 0.148713i | \(0.0475129\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.0119 | + | 15.1566i | 0.430270 | + | 0.592216i | ||||
\(656\) | 12.0076 | + | 36.9555i | 0.468817 | + | 1.44287i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.363284 | − | 0.263941i | −0.0141623 | − | 0.0102895i | ||||
\(659\) | 5.75272 | 0.224094 | 0.112047 | − | 0.993703i | \(-0.464259\pi\) | ||||
0.112047 | + | 0.993703i | \(0.464259\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 29.9259 | 1.16398 | 0.581991 | − | 0.813195i | \(-0.302274\pi\) | ||||
0.581991 | + | 0.813195i | \(0.302274\pi\) | |||||||
\(662\) | −0.301440 | − | 0.219009i | −0.0117158 | − | 0.00851204i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.58593 | − | 14.1140i | −0.177969 | − | 0.547731i | ||||
\(665\) | 1.23887 | + | 1.70516i | 0.0480415 | + | 0.0661234i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.92809 | − | 1.27631i | 0.152096 | − | 0.0494190i | ||||
\(668\) | 1.75618 | − | 5.40498i | 0.0679488 | − | 0.209125i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.29835i | 0.0501598i | ||||||||
\(671\) | 18.2766 | − | 5.21929i | 0.705559 | − | 0.201489i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.761268 | + | 1.04780i | −0.0293447 | + | 0.0403895i | −0.823437 | − | 0.567407i | \(-0.807947\pi\) |
0.794093 | + | 0.607797i | \(0.207947\pi\) | |||||||
\(674\) | 7.81821 | + | 2.54029i | 0.301146 | + | 0.0978484i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −37.0313 | + | 26.9048i | −1.42428 | + | 1.03480i | ||||
\(677\) | −16.9486 | + | 12.3139i | −0.651389 | + | 0.473262i | −0.863744 | − | 0.503931i | \(-0.831887\pi\) |
0.212355 | + | 0.977193i | \(0.431887\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.30893 | + | 2.69974i | 0.318868 | + | 0.103606i | ||||
\(680\) | 2.19010 | − | 3.01442i | 0.0839866 | − | 0.115598i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.75914 | − | 0.279373i | −0.297113 | − | 0.0106978i | ||||
\(683\) | − | 12.7750i | − | 0.488822i | −0.969672 | − | 0.244411i | \(-0.921405\pi\) | ||
0.969672 | − | 0.244411i | \(-0.0785945\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12.9675 | − | 39.9099i | 0.495463 | − | 1.52488i | ||||
\(686\) | 6.38877 | − | 2.07584i | 0.243924 | − | 0.0792559i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −15.9608 | − | 21.9681i | −0.608498 | − | 0.837526i | ||||
\(689\) | −8.57282 | − | 26.3844i | −0.326598 | − | 1.00517i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 23.3392 | + | 16.9569i | 0.887866 | + | 0.645073i | 0.935321 | − | 0.353801i | \(-0.115111\pi\) |
−0.0474545 | + | 0.998873i | \(0.515111\pi\) | |||||||
\(692\) | −21.1929 | −0.805633 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −4.43747 | −0.168444 | ||||||||
\(695\) | −27.0739 | − | 19.6704i | −1.02697 | − | 0.746139i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.11958 | − | 12.6788i | −0.156040 | − | 0.480242i | ||||
\(698\) | −2.21112 | − | 3.04334i | −0.0836920 | − | 0.115192i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.80964 | + | 0.587986i | −0.0683978 | + | 0.0222238i | ||||
\(701\) | 1.64023 | − | 5.04812i | 0.0619507 | − | 0.190665i | −0.915291 | − | 0.402793i | \(-0.868039\pi\) |
0.977242 | + | 0.212128i | \(0.0680395\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 2.41032i | − | 0.0909071i | ||||||
\(704\) | −13.4817 | + | 9.07227i | −0.508110 | + | 0.341924i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.00365 | − | 1.38140i | 0.0377727 | − | 0.0519896i | ||||
\(707\) | −14.6012 | − | 4.74423i | −0.549136 | − | 0.178425i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 23.3574 | − | 16.9701i | 0.877204 | − | 0.637326i | −0.0553060 | − | 0.998469i | \(-0.517613\pi\) |
0.932510 | + | 0.361143i | \(0.117613\pi\) | |||||||
\(710\) | −5.92979 | + | 4.30824i | −0.222541 | + | 0.161685i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.2491 | + | 3.97997i | 0.459054 | + | 0.149156i | ||||
\(713\) | −20.6930 | + | 28.4814i | −0.774958 | + | 1.06664i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.5722 | − | 45.3787i | 0.619765 | − | 1.69707i | ||||
\(716\) | − | 19.9723i | − | 0.746400i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.929237 | − | 2.85990i | 0.0346788 | − | 0.106730i | ||||
\(719\) | 35.5978 | − | 11.5664i | 1.32757 | − | 0.431355i | 0.442484 | − | 0.896776i | \(-0.354097\pi\) |
0.885089 | + | 0.465422i | \(0.154097\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.75471 | − | 2.41515i | −0.0653488 | − | 0.0899449i | ||||
\(722\) | −2.13612 | − | 6.57430i | −0.0794981 | − | 0.244670i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −26.8022 | − | 19.4730i | −0.996097 | − | 0.723707i | ||||
\(725\) | 0.480715 | 0.0178533 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 43.7941 | 1.62423 | 0.812116 | − | 0.583496i | \(-0.198316\pi\) | ||||
0.812116 | + | 0.583496i | \(0.198316\pi\) | |||||||
\(728\) | −11.1772 | − | 8.12069i | −0.414253 | − | 0.300973i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.28224 | − | 13.1794i | −0.158493 | − | 0.487791i | ||||
\(731\) | 5.47584 | + | 7.53685i | 0.202531 | + | 0.278760i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.05270 | + | 1.64172i | −0.186626 | + | 0.0606384i | −0.400839 | − | 0.916149i | \(-0.631281\pi\) |
0.214213 | + | 0.976787i | \(0.431281\pi\) | |||||||
\(734\) | −4.33928 | + | 13.3549i | −0.160166 | + | 0.492940i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 22.4870i | − | 0.828883i | ||||||
\(737\) | −1.68004 | + | 4.60037i | −0.0618852 | + | 0.169457i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.62411 | − | 4.98816i | 0.133315 | − | 0.183492i | −0.737140 | − | 0.675740i | \(-0.763824\pi\) |
0.870455 | + | 0.492247i | \(0.163824\pi\) | |||||||
\(740\) | 18.0478 | + | 5.86407i | 0.663449 | + | 0.215568i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.13656 | − | 1.55230i | 0.0784357 | − | 0.0569869i | ||||
\(743\) | 5.40513 | − | 3.92705i | 0.198295 | − | 0.144070i | −0.484207 | − | 0.874953i | \(-0.660892\pi\) |
0.682502 | + | 0.730884i | \(0.260892\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −32.1960 | − | 10.4611i | −1.17957 | − | 0.383266i | ||||
\(746\) | −1.40998 | + | 1.94067i | −0.0516231 | + | 0.0710531i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.62373 | − | 3.78439i | 0.205624 | − | 0.138371i | ||||
\(749\) | 19.3525i | 0.707125i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.75807 | + | 26.9546i | −0.319587 | + | 0.983586i | 0.654239 | + | 0.756288i | \(0.272989\pi\) |
−0.973825 | + | 0.227298i | \(0.927011\pi\) | |||||||
\(752\) | −2.34028 | + | 0.760403i | −0.0853412 | + | 0.0277290i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.989459 | + | 1.36187i | 0.0360340 | + | 0.0495965i | ||||
\(755\) | −1.89190 | − | 5.82267i | −0.0688533 | − | 0.211909i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.7918 | + | 7.84073i | 0.392236 | + | 0.284976i | 0.766371 | − | 0.642398i | \(-0.222060\pi\) |
−0.374135 | + | 0.927374i | \(0.622060\pi\) | |||||||
\(758\) | −4.59573 | −0.166924 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.91020 | −0.0692901 | ||||||||
\(761\) | 0.449868 | + | 0.326848i | 0.0163077 | + | 0.0118482i | 0.595909 | − | 0.803052i | \(-0.296792\pi\) |
−0.579602 | + | 0.814900i | \(0.696792\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.28526 | + | 13.1887i | 0.155137 | + | 0.477463i | ||||
\(764\) | −22.3907 | − | 30.8181i | −0.810066 | − | 1.11496i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 5.02143 | − | 1.63156i | 0.181432 | − | 0.0589507i | ||||
\(767\) | 0.0212780 | − | 0.0654871i | 0.000768305 | − | 0.00236460i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 32.6962i | − | 1.17906i | −0.807748 | − | 0.589528i | \(-0.799314\pi\) | ||
0.807748 | − | 0.589528i | \(-0.200686\pi\) | |||||||
\(770\) | 4.59593 | + | 0.165480i | 0.165626 | + | 0.00596347i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −16.7323 | + | 23.0300i | −0.602209 | + | 0.828869i | ||||
\(773\) | −1.30242 | − | 0.423182i | −0.0468448 | − | 0.0152208i | 0.285501 | − | 0.958378i | \(-0.407840\pi\) |
−0.332346 | + | 0.943158i | \(0.607840\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.31493 | + | 2.40844i | −0.119076 | + | 0.0865138i | ||||
\(776\) | −6.40569 | + | 4.65401i | −0.229951 | + | 0.167069i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.78942 | + | 1.23126i | 0.135857 | + | 0.0441427i | ||||
\(779\) | −4.01718 | + | 5.52918i | −0.143930 | + | 0.198103i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −26.5854 | + | 7.59208i | −0.951301 | + | 0.271666i | ||||
\(782\) | 2.25820i | 0.0807530i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.45900 | − | 13.7234i | 0.159250 | − | 0.490121i | ||||
\(785\) | 12.8686 | − | 4.18128i | 0.459302 | − | 0.149236i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.09353 | + | 7.01064i | 0.181565 | + | 0.249902i | 0.890092 | − | 0.455781i | \(-0.150640\pi\) |
−0.708527 | + | 0.705684i | \(0.750640\pi\) | |||||||
\(788\) | 7.54349 | + | 23.2165i | 0.268726 | + | 0.827053i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.26290 | + | 1.64409i | 0.0805104 | + | 0.0584943i | ||||
\(791\) | 0.0731593 | 0.00260125 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 35.1262 | 1.24737 | ||||||||
\(794\) | 4.14127 | + | 3.00881i | 0.146968 | + | 0.106779i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.71926 | + | 8.36901i | 0.0963815 | + | 0.296632i | ||||
\(797\) | 7.92940 | + | 10.9139i | 0.280874 | + | 0.386590i | 0.926023 | − | 0.377467i | \(-0.123205\pi\) |
−0.645149 | + | 0.764057i | \(0.723205\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.802907 | − | 0.260880i | 0.0284048 | − | 0.00922928i | ||||
\(800\) | 0.808775 | − | 2.48915i | 0.0285945 | − | 0.0880049i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 13.2659i | 0.468435i | ||||||||
\(803\) | 1.88089 | − | 52.2388i | 0.0663753 | − | 1.84347i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.2570 | − | 16.8703i | 0.432001 | − | 0.594598i | ||||
\(806\) | −13.6463 | − | 4.43395i | −0.480670 | − | 0.156179i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.2567 | − | 8.17847i | 0.396009 | − | 0.287717i | ||||
\(809\) | −35.6994 | + | 25.9371i | −1.25512 | + | 0.911900i | −0.998508 | − | 0.0546139i | \(-0.982607\pi\) |
−0.256615 | + | 0.966514i | \(0.582607\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.0505 | + | 12.6883i | 1.37125 | + | 0.445546i | 0.899782 | − | 0.436339i | \(-0.143725\pi\) |
0.471466 | + | 0.881884i | \(0.343725\pi\) | |||||||
\(812\) | 1.28202 | − | 1.76455i | 0.0449901 | − | 0.0619236i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.14081 | − | 3.24239i | −0.145135 | − | 0.113646i | ||||
\(815\) | 20.3420i | 0.712550i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.47586 | − | 4.54224i | 0.0516340 | − | 0.158913i | ||||
\(818\) | −5.52974 | + | 1.79672i | −0.193343 | + | 0.0628209i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −31.6274 | − | 43.5313i | −1.10447 | − | 1.52018i | ||||
\(821\) | 4.85689 | + | 14.9480i | 0.169507 | + | 0.521688i | 0.999340 | − | 0.0363233i | \(-0.0115646\pi\) |
−0.829833 | + | 0.558011i | \(0.811565\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.59885 | + | 3.34126i | 0.160306 | + | 0.116469i | 0.665046 | − | 0.746802i | \(-0.268412\pi\) |
−0.504740 | + | 0.863271i | \(0.668412\pi\) | |||||||
\(824\) | 2.70555 | 0.0942525 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.00655490 | 0.000228074 | ||||||||
\(827\) | 11.5227 | + | 8.37170i | 0.400682 | + | 0.291113i | 0.769819 | − | 0.638263i | \(-0.220347\pi\) |
−0.369137 | + | 0.929375i | \(0.620347\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.17567 | − | 3.61833i | −0.0408326 | − | 0.125670i | 0.928562 | − | 0.371177i | \(-0.121046\pi\) |
−0.969395 | + | 0.245507i | \(0.921046\pi\) | |||||||
\(830\) | 5.36609 | + | 7.38579i | 0.186260 | + | 0.256364i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −28.5609 | + | 9.28001i | −0.990172 | + | 0.321726i | ||||
\(833\) | −1.52980 | + | 4.70824i | −0.0530044 | + | 0.163131i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.24902i | 0.250863i | ||||||||
\(836\) | −3.26422 | − | 1.19209i | −0.112895 | − | 0.0412292i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −3.30773 | + | 4.55270i | −0.114264 | + | 0.157270i | ||||
\(839\) | −3.70686 | − | 1.20443i | −0.127975 | − | 0.0415816i | 0.244329 | − | 0.969692i | \(-0.421432\pi\) |
−0.372304 | + | 0.928111i | \(0.621432\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.0157 | − | 16.7219i | 0.793645 | − | 0.576617i | ||||
\(842\) | −3.63419 | + | 2.64039i | −0.125242 | + | 0.0909939i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −34.6178 | − | 11.2480i | −1.19159 | − | 0.387173i | ||||
\(845\) | 34.3180 | − | 47.2347i | 1.18058 | − | 1.62492i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 16.0703 | + | 6.53338i | 0.552183 | + | 0.224489i | ||||
\(848\) | − | 14.4721i | − | 0.496974i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.0812189 | + | 0.249966i | −0.00278579 | + | 0.00857377i | ||||
\(851\) | −22.6797 | + | 7.36908i | −0.777450 | + | 0.252609i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.6366 | − | 25.6510i | −0.638104 | − | 0.878275i | 0.360409 | − | 0.932795i | \(-0.382637\pi\) |
−0.998513 | + | 0.0545195i | \(0.982637\pi\) | |||||||
\(854\) | 1.03331 | + | 3.18020i | 0.0353592 | + | 0.108824i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.1894 | − | 10.3092i | −0.484984 | − | 0.352362i | ||||
\(857\) | 39.5636 | 1.35147 | 0.675733 | − | 0.737147i | \(-0.263827\pi\) | ||||
0.675733 | + | 0.737147i | \(0.263827\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −38.3183 | −1.30740 | −0.653701 | − | 0.756753i | \(-0.726785\pi\) | ||||
−0.653701 | + | 0.756753i | \(0.726785\pi\) | |||||||
\(860\) | 30.4203 | + | 22.1016i | 1.03732 | + | 0.753659i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −2.93194 | − | 9.02357i | −0.0998621 | − | 0.307344i | ||||
\(863\) | 27.4819 | + | 37.8256i | 0.935495 | + | 1.28760i | 0.957677 | + | 0.287844i | \(0.0929385\pi\) |
−0.0221825 | + | 0.999754i | \(0.507061\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 25.7092 | − | 8.35343i | 0.874139 | − | 0.284025i | ||||
\(866\) | 0.147649 | − | 0.454418i | 0.00501733 | − | 0.0154417i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 18.5911i | 0.631024i | ||||||||
\(869\) | 5.89056 | + | 8.75356i | 0.199824 | + | 0.296944i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.31999 | + | 7.32233i | −0.180261 | + | 0.248108i | ||||
\(872\) | −11.9528 | − | 3.88371i | −0.404774 | − | 0.131519i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.936595 | − | 0.680476i | 0.0316808 | − | 0.0230174i | ||||
\(875\) | −13.1967 | + | 9.58799i | −0.446131 | + | 0.324133i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 29.9762 | + | 9.73986i | 1.01222 | + | 0.328892i | 0.767740 | − | 0.640762i | \(-0.221381\pi\) |
0.244484 | + | 0.969653i | \(0.421381\pi\) | |||||||
\(878\) | 1.95478 | − | 2.69052i | 0.0659706 | − | 0.0908008i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 15.5372 | − | 19.8423i | 0.523757 | − | 0.668884i | ||||
\(881\) | − | 42.0051i | − | 1.41519i | −0.706619 | − | 0.707595i | \(-0.749780\pi\) | ||
0.706619 | − | 0.707595i | \(-0.250220\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.787007 | − | 2.42216i | 0.0264849 | − | 0.0815122i | −0.936940 | − | 0.349489i | \(-0.886355\pi\) |
0.963425 | + | 0.267977i | \(0.0863551\pi\) | |||||||
\(884\) | 11.9139 | − | 3.87105i | 0.400707 | − | 0.130198i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.11939 | + | 4.29347i | 0.104798 | + | 0.144242i | ||||
\(887\) | 4.30244 | + | 13.2415i | 0.144462 | + | 0.444607i | 0.996941 | − | 0.0781530i | \(-0.0249023\pi\) |
−0.852480 | + | 0.522760i | \(0.824902\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.42236 | − | 6.11920i | −0.282477 | − | 0.205231i | ||||
\(890\) | −7.92302 | −0.265580 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 30.6104 | 1.02491 | ||||||||
\(893\) | −0.350145 | − | 0.254396i | −0.0117172 | − | 0.00851302i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.87231 | + | 24.2285i | 0.263142 | + | 0.809869i | ||||
\(896\) | −9.17314 | − | 12.6257i | −0.306453 | − | 0.421797i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 5.01372 | − | 1.62905i | 0.167310 | − | 0.0543623i | ||||
\(899\) | 1.45141 | − | 4.46699i | 0.0484074 | − | 0.148983i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.96511i | 0.165412i | ||||||||
\(902\) | 4.09489 | + | 14.3392i | 0.136345 | + | 0.477443i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.0389725 | + | 0.0536410i | −0.00129620 | + | 0.00178407i | ||||
\(905\) | 40.1894 | + | 13.0583i | 1.33594 | + | 0.434074i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.9528 | − | 19.5824i | 0.894953 | − | 0.650222i | −0.0422115 | − | 0.999109i | \(-0.513440\pi\) |
0.937165 | + | 0.348887i | \(0.113440\pi\) | |||||||
\(908\) | 40.9456 | − | 29.7487i | 1.35883 | − | 0.987246i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 8.08303 | + | 2.62634i | 0.267950 | + | 0.0870622i | ||||
\(911\) | −3.87278 | + | 5.33042i | −0.128311 | + | 0.176605i | −0.868339 | − | 0.495971i | \(-0.834812\pi\) |
0.740028 | + | 0.672576i | \(0.234812\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.45623 | + | 33.1132i | 0.312956 | + | 1.09589i | ||||
\(914\) | 9.61060i | 0.317890i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.49601 | − | 7.68194i | 0.0824706 | − | 0.253819i | ||||
\(917\) | −11.8240 | + | 3.84186i | −0.390464 | + | 0.126869i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19.1361 | − | 26.3386i | −0.631241 | − | 0.868829i | 0.366869 | − | 0.930273i | \(-0.380430\pi\) |
−0.998111 | + | 0.0614433i | \(0.980430\pi\) | |||||||
\(920\) | 5.84004 | + | 17.9738i | 0.192540 | + | 0.592579i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.48848 | − | 2.53453i | −0.114887 | − | 0.0834703i | ||||
\(923\) | −51.0952 | −1.68182 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.77552 | −0.0912585 | ||||||||
\(926\) | 5.58674 | + | 4.05901i | 0.183592 | + | 0.133387i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.927084 | + | 2.85327i | 0.0304330 | + | 0.0936633i | ||||
\(929\) | 8.24635 | + | 11.3501i | 0.270554 | + | 0.372386i | 0.922577 | − | 0.385814i | \(-0.126079\pi\) |
−0.652023 | + | 0.758199i | \(0.726079\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.41374 | − | 0.784272i | 0.0791072 | − | 0.0257035i | ||||
\(932\) | 6.75136 | − | 20.7786i | 0.221148 | − | 0.680624i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 1.11727i | − | 0.0365581i | ||||||
\(935\) | −5.33051 | + | 6.80753i | −0.174326 | + | 0.222630i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.0358 | − | 42.7172i | 1.01390 | − | 1.39551i | 0.0975008 | − | 0.995235i | \(-0.468915\pi\) |
0.916396 | − | 0.400273i | \(-0.131085\pi\) | |||||||
\(938\) | −0.819436 | − | 0.266251i | −0.0267555 | − | 0.00869340i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.75670 | − | 2.00286i | 0.0899137 | − | 0.0653262i | ||||
\(941\) | −1.79920 | + | 1.30719i | −0.0586522 | + | 0.0426133i | −0.616725 | − | 0.787179i | \(-0.711541\pi\) |
0.558073 | + | 0.829792i | \(0.311541\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 64.3080 | + | 20.8949i | 2.09416 | + | 0.680432i | ||||
\(944\) | 0.0211134 | − | 0.0290601i | 0.000687183 | − | 0.000945826i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.81800 | − | 8.64573i | −0.189159 | − | 0.281097i | ||||
\(947\) | − | 21.9181i | − | 0.712241i | −0.934440 | − | 0.356121i | \(-0.884099\pi\) | ||
0.934440 | − | 0.356121i | \(-0.115901\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 29.8518 | − | 91.8743i | 0.969029 | − | 2.98237i | ||||
\(950\) | 0.128148 | − | 0.0416380i | 0.00415768 | − | 0.00135091i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.45338 | + | 2.00041i | 0.0471044 | + | 0.0648337i | ||||
\(953\) | −6.64425 | − | 20.4489i | −0.215228 | − | 0.662404i | −0.999137 | − | 0.0415288i | \(-0.986777\pi\) |
0.783909 | − | 0.620876i | \(-0.213223\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 39.3095 | + | 28.5601i | 1.27203 | + | 0.924182i | ||||
\(956\) | −33.4277 | −1.08113 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −14.3124 | −0.462413 | ||||||||
\(959\) | 22.5293 | + | 16.3685i | 0.727509 | + | 0.528566i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.79193 | + | 8.59267i | 0.0900622 | + | 0.277183i | ||||
\(962\) | −5.71286 | − | 7.86308i | −0.184190 | − | 0.253516i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.73430 | − | 1.53827i | 0.152482 | − | 0.0495443i | ||||
\(965\) | 11.2205 | − | 34.5331i | 0.361200 | − | 1.11166i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 15.7910i | − | 0.507803i | −0.967230 | − | 0.253901i | \(-0.918286\pi\) | ||
0.967230 | − | 0.253901i | \(-0.0817139\pi\) | |||||||
\(968\) | −13.3511 | + | 8.30251i | −0.429120 | + | 0.266853i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.86300 | − | 3.94058i | 0.0919253 | − | 0.126524i | ||||
\(971\) | −7.29530 | − | 2.37039i | −0.234117 | − | 0.0760693i | 0.189609 | − | 0.981860i | \(-0.439278\pi\) |
−0.423726 | + | 0.905790i | \(0.639278\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 17.9667 | − | 13.0535i | 0.575984 | − | 0.418477i | ||||
\(974\) | −3.67517 | + | 2.67017i | −0.117760 | + | 0.0855577i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 17.4272 | + | 5.66245i | 0.557832 | + | 0.181250i | ||||
\(977\) | −4.39314 | + | 6.04664i | −0.140549 | + | 0.193449i | −0.873489 | − | 0.486845i | \(-0.838148\pi\) |
0.732940 | + | 0.680294i | \(0.238148\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −28.0731 | − | 10.2522i | −0.897221 | − | 0.327663i | ||||
\(980\) | 19.9814i | 0.638282i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.16946 | + | 12.8323i | −0.133053 | + | 0.409494i | ||||
\(983\) | −47.5184 | + | 15.4397i | −1.51560 | + | 0.492449i | −0.944523 | − | 0.328446i | \(-0.893475\pi\) |
−0.571079 | + | 0.820895i | \(0.693475\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −18.3021 | − | 25.1907i | −0.583153 | − | 0.802642i | ||||
\(986\) | −0.0930998 | − | 0.286532i | −0.00296490 | − | 0.00912503i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.19561 | − | 3.77483i | −0.165294 | − | 0.120093i | ||||
\(989\) | −47.2520 | −1.50252 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −32.0166 | −1.01704 | −0.508520 | − | 0.861050i | \(-0.669807\pi\) | ||||
−0.508520 | + | 0.861050i | \(0.669807\pi\) | |||||||
\(992\) | −20.6883 | − | 15.0309i | −0.656853 | − | 0.477232i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.50307 | − | 4.62598i | −0.0476745 | − | 0.146727i | ||||
\(995\) | −6.59748 | − | 9.08066i | −0.209154 | − | 0.287876i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.0018 | + | 5.84914i | −0.570123 | + | 0.185244i | −0.579871 | − | 0.814708i | \(-0.696897\pi\) |
0.00974795 | + | 0.999952i | \(0.496897\pi\) | |||||||
\(998\) | −2.77608 | + | 8.54390i | −0.0878753 | + | 0.270452i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 891.2.k.a.161.11 | 80 | ||
3.2 | odd | 2 | inner | 891.2.k.a.161.10 | 80 | ||
9.2 | odd | 6 | 297.2.t.a.260.5 | 80 | |||
9.4 | even | 3 | 297.2.t.a.62.5 | 80 | |||
9.5 | odd | 6 | 99.2.p.a.29.6 | ✓ | 80 | ||
9.7 | even | 3 | 99.2.p.a.95.6 | yes | 80 | ||
11.8 | odd | 10 | inner | 891.2.k.a.404.10 | 80 | ||
33.8 | even | 10 | inner | 891.2.k.a.404.11 | 80 | ||
99.41 | even | 30 | 99.2.p.a.74.6 | yes | 80 | ||
99.52 | odd | 30 | 99.2.p.a.41.6 | yes | 80 | ||
99.74 | even | 30 | 297.2.t.a.206.5 | 80 | |||
99.85 | odd | 30 | 297.2.t.a.8.5 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.6 | ✓ | 80 | 9.5 | odd | 6 | ||
99.2.p.a.41.6 | yes | 80 | 99.52 | odd | 30 | ||
99.2.p.a.74.6 | yes | 80 | 99.41 | even | 30 | ||
99.2.p.a.95.6 | yes | 80 | 9.7 | even | 3 | ||
297.2.t.a.8.5 | 80 | 99.85 | odd | 30 | |||
297.2.t.a.62.5 | 80 | 9.4 | even | 3 | |||
297.2.t.a.206.5 | 80 | 99.74 | even | 30 | |||
297.2.t.a.260.5 | 80 | 9.2 | odd | 6 | |||
891.2.k.a.161.10 | 80 | 3.2 | odd | 2 | inner | ||
891.2.k.a.161.11 | 80 | 1.1 | even | 1 | trivial | ||
891.2.k.a.404.10 | 80 | 11.8 | odd | 10 | inner | ||
891.2.k.a.404.11 | 80 | 33.8 | even | 10 | inner |