Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(17,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 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("300.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.x (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: | \(2.39551206064\) |
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 | 53.1 | ||
Character | \(\chi\) | \(=\) | 300.53 |
Dual form | 300.2.x.a.17.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{7}{20}\right)\) |
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 | 0 | ||||||||
\(3\) | −1.73066 | + | 0.0694365i | −0.999196 | + | 0.0400892i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.354250 | − | 2.20783i | 0.158426 | − | 0.987371i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.67035 | + | 1.67035i | −0.631334 | + | 0.631334i | −0.948403 | − | 0.317068i | \(-0.897302\pi\) |
0.317068 | + | 0.948403i | \(0.397302\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.99036 | − | 0.240342i | 0.996786 | − | 0.0801139i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.27981 | − | 1.71551i | −1.59192 | − | 0.517247i | −0.626830 | − | 0.779156i | \(-0.715648\pi\) |
−0.965092 | + | 0.261910i | \(0.915648\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00207 | + | 1.96667i | −0.277924 | + | 0.545456i | −0.987202 | − | 0.159472i | \(-0.949021\pi\) |
0.709279 | + | 0.704928i | \(0.249021\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.459783 | + | 3.84559i | −0.118715 | + | 0.992928i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.25837 | − | 0.674459i | −1.03281 | − | 0.163580i | −0.383053 | − | 0.923726i | \(-0.625128\pi\) |
−0.649753 | + | 0.760146i | \(0.725128\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.59013 | − | 6.31777i | −1.05305 | − | 1.44940i | −0.886137 | − | 0.463423i | \(-0.846621\pi\) |
−0.166911 | − | 0.985972i | \(-0.553379\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.77483 | − | 3.00680i | 0.605517 | − | 0.656136i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.53667 | + | 3.01588i | 0.320418 | + | 0.628855i | 0.993892 | − | 0.110355i | \(-0.0351989\pi\) |
−0.673475 | + | 0.739210i | \(0.735199\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.74901 | − | 1.56425i | −0.949803 | − | 0.312850i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −5.15860 | + | 0.623589i | −0.992773 | + | 0.120010i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.409155 | + | 0.297269i | 0.0759783 | + | 0.0552014i | 0.625126 | − | 0.780524i | \(-0.285048\pi\) |
−0.549148 | + | 0.835725i | \(0.685048\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.41697 | − | 1.75603i | 0.434101 | − | 0.315393i | −0.349186 | − | 0.937054i | \(-0.613542\pi\) |
0.783287 | + | 0.621661i | \(0.213542\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 9.25666 | + | 2.60236i | 1.61138 | + | 0.453012i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.09613 | + | 4.27958i | 0.523342 | + | 0.723381i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.68210 | − | 3.91423i | −1.26293 | − | 0.643495i | −0.311174 | − | 0.950353i | \(-0.600722\pi\) |
−0.951755 | + | 0.306858i | \(0.900722\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.59768 | − | 3.47321i | 0.255833 | − | 0.556159i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.48088 | − | 1.45593i | 0.699796 | − | 0.227377i | 0.0625543 | − | 0.998042i | \(-0.480075\pi\) |
0.637242 | + | 0.770664i | \(0.280075\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.88737 | + | 5.88737i | 0.897816 | + | 0.897816i | 0.995243 | − | 0.0974269i | \(-0.0310612\pi\) |
−0.0974269 | + | 0.995243i | \(0.531061\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.528702 | − | 6.68734i | 0.0788143 | − | 0.996889i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.527820 | − | 3.33252i | −0.0769905 | − | 0.486099i | −0.995812 | − | 0.0914252i | \(-0.970858\pi\) |
0.918821 | − | 0.394673i | \(-0.129142\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.41984i | 0.202834i | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.41661 | + | 0.871573i | 1.03853 | + | 0.122045i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.21091 | − | 0.825328i | 0.715774 | − | 0.113367i | 0.212083 | − | 0.977252i | \(-0.431975\pi\) |
0.503691 | + | 0.863884i | \(0.331975\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.65793 | + | 11.0492i | −0.762916 | + | 1.48987i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 8.38263 | + | 10.6152i | 1.11031 | + | 1.40601i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.17139 | + | 9.76054i | 0.412880 | + | 1.27071i | 0.914134 | + | 0.405413i | \(0.132872\pi\) |
−0.501254 | + | 0.865300i | \(0.667128\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.65928 | − | 5.10673i | 0.212449 | − | 0.653850i | −0.786876 | − | 0.617111i | \(-0.788303\pi\) |
0.999325 | − | 0.0367391i | \(-0.0116970\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.59350 | + | 5.39641i | −0.578726 | + | 0.679884i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.98709 | + | 2.90909i | 0.494537 | + | 0.360828i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.707187 | − | 4.46500i | 0.0863966 | − | 0.545487i | −0.906085 | − | 0.423095i | \(-0.860944\pi\) |
0.992482 | − | 0.122392i | \(-0.0390564\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.86886 | − | 5.11276i | −0.345370 | − | 0.615504i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.04875 | + | 8.32540i | −0.717855 | + | 0.988043i | 0.281737 | + | 0.959492i | \(0.409089\pi\) |
−0.999592 | + | 0.0285511i | \(0.990911\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.93067 | + | 0.983727i | −0.225968 | + | 0.115136i | −0.563310 | − | 0.826246i | \(-0.690472\pi\) |
0.337342 | + | 0.941382i | \(0.390472\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 8.32754 | + | 2.37742i | 0.961581 | + | 0.274521i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 11.6847 | − | 5.95363i | 1.33159 | − | 0.678479i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.1110 | − | 13.9166i | 1.13757 | − | 1.56574i | 0.364764 | − | 0.931100i | \(-0.381150\pi\) |
0.772811 | − | 0.634637i | \(-0.218850\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.88447 | − | 1.43741i | 0.987164 | − | 0.159713i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.93251 | − | 12.2014i | 0.212121 | − | 1.33928i | −0.619964 | − | 0.784630i | \(-0.712853\pi\) |
0.832085 | − | 0.554648i | \(-0.187147\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.99762 | + | 9.16282i | −0.325137 | + | 0.993847i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.728750 | − | 0.486061i | −0.0781302 | − | 0.0521112i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.43321 | − | 4.41098i | 0.151920 | − | 0.467563i | −0.845915 | − | 0.533317i | \(-0.820945\pi\) |
0.997836 | + | 0.0657541i | \(0.0209453\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.61123 | − | 4.95884i | −0.168902 | − | 0.519828i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.06102 | + | 3.20692i | −0.421108 | + | 0.332542i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −15.5746 | + | 7.89614i | −1.59792 | + | 0.810127i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −15.9942 | + | 2.53324i | −1.62397 | + | 0.257211i | −0.901048 | − | 0.433720i | \(-0.857201\pi\) |
−0.722921 | + | 0.690931i | \(0.757201\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −16.2008 | − | 3.86104i | −1.62824 | − | 0.388049i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − | 4.67239i | − | 0.464920i | −0.972606 | − | 0.232460i | \(-0.925322\pi\) | ||
0.972606 | − | 0.232460i | \(-0.0746775\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.07022 | − | 6.75713i | −0.105452 | − | 0.665800i | −0.982622 | − | 0.185619i | \(-0.940571\pi\) |
0.877169 | − | 0.480181i | \(-0.159429\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.65550 | − | 7.19150i | −0.551921 | − | 0.701819i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.84075 | − | 2.84075i | −0.274626 | − | 0.274626i | 0.556334 | − | 0.830959i | \(-0.312208\pi\) |
−0.830959 | + | 0.556334i | \(0.812208\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.7758 | + | 3.50126i | −1.03213 | + | 0.335360i | −0.775633 | − | 0.631185i | \(-0.782569\pi\) |
−0.256499 | + | 0.966544i | \(0.582569\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 13.5669 | + | 6.24077i | 1.28771 | + | 0.592348i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.85613 | + | 1.96480i | 0.362754 | + | 0.184833i | 0.625862 | − | 0.779934i | \(-0.284747\pi\) |
−0.263108 | + | 0.964767i | \(0.584747\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.20292 | − | 2.32432i | 0.671675 | − | 0.216744i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.52387 | + | 6.12188i | −0.233332 | + | 0.565968i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 8.23957 | − | 5.98640i | 0.755320 | − | 0.548772i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 16.0342 | + | 11.6495i | 1.45765 | + | 1.05905i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −7.65378 | + | 2.83085i | −0.690118 | + | 0.255249i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −5.13593 | + | 9.93087i | −0.459372 | + | 0.888244i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.759425 | − | 1.49046i | −0.0673881 | − | 0.132257i | 0.854855 | − | 0.518867i | \(-0.173646\pi\) |
−0.922243 | + | 0.386610i | \(0.873646\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −10.5978 | − | 9.78023i | −0.933087 | − | 0.861101i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.70065 | − | 3.71712i | −0.235957 | − | 0.324767i | 0.674575 | − | 0.738207i | \(-0.264327\pi\) |
−0.910531 | + | 0.413440i | \(0.864327\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 18.2200 | + | 2.88577i | 1.57988 | + | 0.250228i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.450658 | + | 11.6102i | −0.0387865 | + | 0.999248i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.03906 | + | 7.92710i | −0.345080 | + | 0.677258i | −0.996690 | − | 0.0812966i | \(-0.974094\pi\) |
0.651610 | + | 0.758554i | \(0.274094\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.53260 | + | 1.14781i | 0.299631 | + | 0.0973561i | 0.454975 | − | 0.890504i | \(-0.349648\pi\) |
−0.155343 | + | 0.987861i | \(0.549648\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.14487 | + | 5.73081i | 0.0964158 | + | 0.482621i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 8.66458 | − | 8.66458i | 0.724568 | − | 0.724568i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.801262 | − | 0.798037i | 0.0665412 | − | 0.0662734i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.0985885 | − | 2.45725i | −0.00813144 | − | 0.202671i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −16.5291 | −1.35411 | −0.677057 | − | 0.735931i | \(-0.736745\pi\) | ||||
−0.677057 | + | 0.735931i | \(0.736745\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.27383 | −0.429178 | −0.214589 | − | 0.976704i | \(-0.568841\pi\) | ||||
−0.214589 | + | 0.976704i | \(0.568841\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −12.8961 | − | 0.993411i | −1.04259 | − | 0.0803125i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.02081 | − | 5.95833i | −0.242637 | − | 0.478585i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.79069 | − | 7.79069i | 0.621765 | − | 0.621765i | −0.324218 | − | 0.945982i | \(-0.605101\pi\) |
0.945982 | + | 0.324218i | \(0.105101\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −8.96100 | + | 1.79019i | −0.710654 | + | 0.141971i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.60437 | − | 2.47081i | −0.599308 | − | 0.194727i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.02791 | + | 13.7931i | −0.550469 | + | 1.08036i | 0.433356 | + | 0.901223i | \(0.357329\pi\) |
−0.983825 | + | 0.179133i | \(0.942671\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 9.02473 | − | 19.5152i | 0.702575 | − | 1.51926i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.92370 | − | 1.57176i | −0.767919 | − | 0.121626i | −0.239829 | − | 0.970815i | \(-0.577092\pi\) |
−0.528090 | + | 0.849189i | \(0.677092\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 4.77756 | + | 6.57575i | 0.367505 | + | 0.505827i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −15.2445 | − | 17.7892i | −1.16578 | − | 1.36037i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −6.65343 | − | 13.0581i | −0.505851 | − | 0.992789i | −0.992848 | − | 0.119385i | \(-0.961908\pi\) |
0.486997 | − | 0.873404i | \(-0.338092\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.5454 | − | 5.31968i | 0.797156 | − | 0.402130i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.16633 | − | 16.6719i | −0.463490 | − | 1.25314i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 12.3066 | + | 8.94125i | 0.919837 | + | 0.668301i | 0.943483 | − | 0.331420i | \(-0.107528\pi\) |
−0.0236465 | + | 0.999720i | \(0.507528\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.447095 | − | 0.324833i | 0.0332323 | − | 0.0241447i | −0.571045 | − | 0.820919i | \(-0.693462\pi\) |
0.604277 | + | 0.796774i | \(0.293462\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.51705 | + | 8.95322i | −0.186066 | + | 0.661841i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −11.3633 | + | 15.5741i | −0.835448 | + | 1.14503i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 21.3263 | + | 10.8663i | 1.55954 | + | 0.794623i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 7.57507 | − | 9.65830i | 0.551005 | − | 0.702538i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.5690 | + | 6.68327i | −1.48832 | + | 0.483585i | −0.936587 | − | 0.350435i | \(-0.886034\pi\) |
−0.551734 | + | 0.834020i | \(0.686034\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.71609 | − | 3.71609i | −0.267490 | − | 0.267490i | 0.560598 | − | 0.828088i | \(-0.310571\pi\) |
−0.828088 | + | 0.560598i | \(0.810571\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.10228 | − | 4.75779i | −0.508605 | − | 0.340712i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −3.06376 | − | 19.3438i | −0.218284 | − | 1.37819i | −0.816726 | − | 0.577026i | \(-0.804213\pi\) |
0.598442 | − | 0.801166i | \(-0.295787\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.77115i | 0.125553i | 0.998028 | + | 0.0627766i | \(0.0199956\pi\) | ||||
−0.998028 | + | 0.0627766i | \(0.980004\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.913865 | + | 7.77649i | −0.0644590 | + | 0.548512i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −1.17998 | + | 0.186890i | −0.0828182 | + | 0.0131171i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.62708 | − | 10.4088i | −0.113640 | − | 0.726980i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.32003 | + | 8.64924i | 0.369768 | + | 0.601164i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 13.3968 | + | 41.2310i | 0.926674 | + | 2.85201i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.990096 | − | 3.04720i | 0.0681610 | − | 0.209778i | −0.911174 | − | 0.412021i | \(-0.864823\pi\) |
0.979335 | + | 0.202243i | \(0.0648230\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 9.89024 | − | 14.8284i | 0.677668 | − | 1.01603i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 15.0839 | − | 10.9127i | 1.02871 | − | 0.744240i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.10400 | + | 6.97039i | −0.0749445 | + | 0.473181i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.27303 | − | 1.83655i | 0.221171 | − | 0.124103i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.59361 | − | 7.69895i | 0.376267 | − | 0.517887i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.15039 | + | 1.09568i | −0.144001 | + | 0.0733720i | −0.524506 | − | 0.851407i | \(-0.675750\pi\) |
0.380505 | + | 0.924779i | \(0.375750\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.5772 | − | 3.53628i | −0.971813 | − | 0.235752i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 14.3886 | − | 7.33136i | 0.955005 | − | 0.486599i | 0.0942105 | − | 0.995552i | \(-0.469967\pi\) |
0.860794 | + | 0.508953i | \(0.169967\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.1726 | + | 14.0013i | −0.672222 | + | 0.925235i | −0.999808 | − | 0.0195869i | \(-0.993765\pi\) |
0.327586 | + | 0.944821i | \(0.393765\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −19.8088 | + | 11.1150i | −1.30332 | + | 0.731316i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.40288 | + | 15.1712i | −0.157418 | + | 0.993898i | 0.774854 | + | 0.632140i | \(0.217823\pi\) |
−0.932272 | + | 0.361758i | \(0.882177\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −7.54462 | − | 0.0152120i | −0.492157 | − | 0.000992319i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −16.5323 | + | 24.7869i | −1.07389 | + | 1.61008i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.17815 | − | 19.0144i | 0.399631 | − | 1.22994i | −0.525664 | − | 0.850692i | \(-0.676183\pi\) |
0.925296 | − | 0.379247i | \(-0.123817\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.32659 | + | 4.08282i | 0.0854532 | + | 0.262998i | 0.984648 | − | 0.174550i | \(-0.0558471\pi\) |
−0.899195 | + | 0.437548i | \(0.855847\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.2762 | + | 3.10458i | −0.979967 | + | 0.199159i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 3.13476 | + | 0.502978i | 0.200272 | + | 0.0321341i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 17.0246 | − | 2.69643i | 1.08325 | − | 0.171570i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.49730 | + | 21.2506i | −0.158260 | + | 1.34671i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 7.64733i | − | 0.482695i | −0.970439 | − | 0.241347i | \(-0.922411\pi\) | ||
0.970439 | − | 0.241347i | \(-0.0775893\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.93953 | − | 18.5595i | −0.184807 | − | 1.16682i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.55162 | − | 16.0659i | 0.285034 | − | 1.00608i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −6.23777 | − | 6.23777i | −0.389101 | − | 0.389101i | 0.485266 | − | 0.874367i | \(-0.338723\pi\) |
−0.874367 | + | 0.485266i | \(0.838723\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 19.3700 | − | 6.29368i | 1.20359 | − | 0.391070i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.29497 | + | 0.790603i | 0.0801564 | + | 0.0489371i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 15.4727 | + | 7.88374i | 0.954088 | + | 0.486132i | 0.860484 | − | 0.509478i | \(-0.170161\pi\) |
0.0936037 | + | 0.995610i | \(0.470161\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0237862 | − | 11.7972i | 0.00146118 | − | 0.724695i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.17412 | + | 7.73342i | −0.133054 | + | 0.473277i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 17.2020 | − | 12.4980i | 1.04883 | − | 0.762017i | 0.0768379 | − | 0.997044i | \(-0.475518\pi\) |
0.971989 | + | 0.235026i | \(0.0755176\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −7.79739 | − | 5.66514i | −0.473658 | − | 0.344133i | 0.325207 | − | 0.945643i | \(-0.394566\pi\) |
−0.798865 | + | 0.601510i | \(0.794566\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 3.13280 | + | 8.47018i | 0.189606 | + | 0.512639i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 22.3904 | + | 16.4059i | 1.35019 | + | 0.989315i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.6228 | + | 28.6988i | 0.878596 | + | 1.72434i | 0.664141 | + | 0.747608i | \(0.268798\pi\) |
0.214455 | + | 0.976734i | \(0.431202\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.80556 | − | 5.83206i | 0.407438 | − | 0.349157i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.62290 | − | 2.23373i | −0.0968141 | − | 0.133253i | 0.757862 | − | 0.652415i | \(-0.226244\pi\) |
−0.854676 | + | 0.519162i | \(0.826244\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.0519 | − | 2.38398i | −0.894741 | − | 0.141713i | −0.307903 | − | 0.951418i | \(-0.599627\pi\) |
−0.586838 | + | 0.809705i | \(0.699627\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 26.4060 | − | 14.7470i | 1.56416 | − | 0.873535i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.05274 | + | 9.91657i | −0.298254 | + | 0.585356i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.51085 | + | 0.490904i | 0.0888733 | + | 0.0288767i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 27.5047 | − | 5.49475i | 1.61235 | − | 0.322108i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 7.47364 | − | 7.47364i | 0.436615 | − | 0.436615i | −0.454256 | − | 0.890871i | \(-0.650095\pi\) |
0.890871 | + | 0.454256i | \(0.150095\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 22.6731 | − | 3.54421i | 1.32008 | − | 0.206352i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 28.3062 | + | 5.55722i | 1.64249 | + | 0.322462i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −7.47109 | −0.432064 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −19.6680 | −1.13364 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0.324434 | + | 8.08631i | 0.0186383 | + | 0.464547i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.6870 | − | 5.47246i | −0.611935 | − | 0.313352i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.64430 | − | 3.64430i | 0.207991 | − | 0.207991i | −0.595422 | − | 0.803413i | \(-0.703015\pi\) |
0.803413 | + | 0.595422i | \(0.203015\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.32139 | + | 11.6200i | 0.132059 | + | 0.661038i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.97750 | + | 2.59205i | 0.452363 | + | 0.146982i | 0.526332 | − | 0.850279i | \(-0.323567\pi\) |
−0.0739696 | + | 0.997260i | \(0.523567\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.02979 | − | 7.90891i | 0.227777 | − | 0.447038i | −0.748626 | − | 0.662992i | \(-0.769286\pi\) |
0.976403 | + | 0.215954i | \(0.0692863\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 10.2871 | + | 12.0533i | 0.579612 | + | 0.679129i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −14.6748 | − | 2.32426i | −0.824218 | − | 0.130543i | −0.269943 | − | 0.962876i | \(-0.587005\pi\) |
−0.554276 | + | 0.832333i | \(0.687005\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.65029 | − | 2.27143i | −0.0923987 | − | 0.127176i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.11362 | + | 4.71911i | 0.285414 | + | 0.263395i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 15.2854 | + | 29.9992i | 0.850501 | + | 1.66920i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.83519 | − | 7.77226i | 0.434618 | − | 0.431127i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 18.4061 | − | 6.80772i | 1.01786 | − | 0.376468i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 6.44814 | + | 4.68485i | 0.355497 | + | 0.258284i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.59179 | + | 6.96885i | −0.527213 | + | 0.383042i | −0.819314 | − | 0.573345i | \(-0.805646\pi\) |
0.292101 | + | 0.956387i | \(0.405646\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −23.9130 | − | 9.85860i | −1.31042 | − | 0.540248i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.60743 | − | 3.14307i | −0.524910 | − | 0.171725i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −9.98022 | − | 5.08518i | −0.543657 | − | 0.277007i | 0.160519 | − | 0.987033i | \(-0.448683\pi\) |
−0.704176 | + | 0.710026i | \(0.748683\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −6.81007 | − | 3.13264i | −0.369872 | − | 0.170141i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −15.7736 | + | 5.12517i | −0.854191 | + | 0.277543i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.0641 | − | 14.0641i | −0.759390 | − | 0.759390i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −12.3044 | + | 4.52276i | −0.662446 | + | 0.243497i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.46050 | − | 28.1625i | −0.239452 | − | 1.51184i | −0.755424 | − | 0.655236i | \(-0.772569\pi\) |
0.515972 | − | 0.856606i | \(-0.327431\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 24.5531i | 1.31430i | 0.753761 | + | 0.657149i | \(0.228238\pi\) | ||||
−0.753761 | + | 0.657149i | \(0.771762\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.94287 | − | 10.7701i | 0.210455 | − | 0.574867i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.23776 | − | 1.14635i | 0.385227 | − | 0.0610140i | 0.0391827 | − | 0.999232i | \(-0.487525\pi\) |
0.346045 | + | 0.938218i | \(0.387525\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 16.2383 | + | 16.3039i | 0.861838 | + | 0.865320i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −13.8442 | + | 10.9325i | −0.732713 | + | 0.578611i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.41890 | + | 10.5223i | 0.180443 | + | 0.555345i | 0.999840 | − | 0.0178804i | \(-0.00569180\pi\) |
−0.819397 | + | 0.573226i | \(0.805692\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.9736 | + | 39.9287i | −0.682821 | + | 2.10151i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −28.5586 | − | 19.0480i | −1.49894 | − | 0.999760i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 1.48796 | + | 4.61108i | 0.0778833 | + | 0.241355i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.39806 | − | 34.0820i | 0.281776 | − | 1.77907i | −0.288366 | − | 0.957520i | \(-0.593112\pi\) |
0.570142 | − | 0.821546i | \(-0.306888\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 13.0495 | − | 5.43068i | 0.679330 | − | 0.282710i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.32548 | + | 10.0827i | −0.380320 | + | 0.523465i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.7942 | − | 7.53802i | 0.766014 | − | 0.390304i | −0.0268992 | − | 0.999638i | \(-0.508563\pi\) |
0.792913 | + | 0.609335i | \(0.208563\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 8.19898 | − | 17.5436i | 0.423393 | − | 0.905946i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.994631 | + | 0.506790i | −0.0512261 | + | 0.0261010i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −20.3628 | + | 28.0270i | −1.04597 | + | 1.43965i | −0.153711 | + | 0.988116i | \(0.549122\pi\) |
−0.892255 | + | 0.451532i | \(0.850878\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.41780 | + | 2.52674i | 0.0726359 | + | 0.129449i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.45899 | − | 21.8392i | 0.176746 | − | 1.11593i | −0.726613 | − | 0.687047i | \(-0.758906\pi\) |
0.903359 | − | 0.428885i | \(-0.141094\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −9.00530 | − | 27.9068i | −0.458953 | − | 1.42226i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 19.0203 | + | 16.1904i | 0.966857 | + | 0.823003i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.876383 | − | 2.69723i | 0.0444344 | − | 0.136755i | −0.926378 | − | 0.376595i | \(-0.877095\pi\) |
0.970812 | + | 0.239840i | \(0.0770949\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.50961 | − | 13.8792i | −0.228061 | − | 0.701899i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.93200 | + | 6.24555i | 0.248787 | + | 0.315046i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −27.1436 | − | 27.2533i | −1.36574 | − | 1.37126i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −29.9879 | + | 4.74962i | −1.50505 | + | 0.238377i | −0.853846 | − | 0.520525i | \(-0.825736\pi\) |
−0.651205 | + | 0.758902i | \(0.725736\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −31.7331 | − | 3.72915i | −1.58864 | − | 0.186691i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 33.3974i | 1.66779i | 0.551925 | + | 0.833894i | \(0.313893\pi\) | ||||
−0.551925 | + | 0.833894i | \(0.686107\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.03157 | + | 6.51305i | 0.0513859 | + | 0.324438i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.0262368 | − | 20.1246i | −0.00130372 | − | 0.999999i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 33.8451 | + | 33.8451i | 1.67764 | + | 1.67764i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 15.7176 | − | 5.10695i | 0.777184 | − | 0.252522i | 0.106547 | − | 0.994308i | \(-0.466021\pi\) |
0.670637 | + | 0.741785i | \(0.266021\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.43980 | − | 13.9996i | 0.317652 | − | 0.690547i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −21.6009 | − | 11.0062i | −1.06291 | − | 0.541580i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −26.2540 | − | 8.58901i | −1.28876 | − | 0.421618i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6.19343 | − | 1.74118i | −0.303293 | − | 0.0852659i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −0.401580 | + | 0.291765i | −0.0196184 | + | 0.0142536i | −0.597551 | − | 0.801831i | \(-0.703860\pi\) |
0.577933 | + | 0.816084i | \(0.303860\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.08407 | − | 3.69379i | −0.247782 | − | 0.180025i | 0.456961 | − | 0.889487i | \(-0.348938\pi\) |
−0.704743 | + | 0.709462i | \(0.748938\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.37931 | − | 9.83858i | −0.115686 | − | 0.478368i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 19.1680 | + | 9.86416i | 0.929786 | + | 0.478482i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.75847 | + | 11.3016i | 0.278672 | + | 0.546924i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −14.3938 | + | 15.5971i | −0.694938 | + | 0.753033i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −7.36561 | − | 10.1379i | −0.354789 | − | 0.488325i | 0.593899 | − | 0.804540i | \(-0.297588\pi\) |
−0.948688 | + | 0.316215i | \(0.897588\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −26.6433 | − | 4.21988i | −1.28039 | − | 0.202795i | −0.521074 | − | 0.853512i | \(-0.674468\pi\) |
−0.759320 | + | 0.650717i | \(0.774468\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.33130 | + | 1.43677i | −0.0638309 | + | 0.0688877i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 12.0001 | − | 23.5516i | 0.574045 | − | 1.12663i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.8500 | − | 3.52537i | −0.517841 | − | 0.168257i | 0.0384243 | − | 0.999262i | \(-0.487766\pi\) |
−0.556265 | + | 0.831005i | \(0.687766\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.341246 | + | 4.24582i | 0.0162498 | + | 0.202182i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −15.4331 | + | 15.4331i | −0.733251 | + | 0.733251i | −0.971262 | − | 0.238011i | \(-0.923504\pi\) |
0.238011 | + | 0.971262i | \(0.423504\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.23097 | − | 4.72688i | −0.437590 | − | 0.224076i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 28.6062 | − | 1.14772i | 1.35303 | − | 0.0542853i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −34.8771 | −1.64595 | −0.822975 | − | 0.568077i | \(-0.807688\pi\) | ||||
−0.822975 | + | 0.568077i | \(0.807688\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.1558 | −1.23163 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 9.12719 | − | 0.366196i | 0.428833 | − | 0.0172054i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −11.5190 | + | 1.80064i | −0.540021 | + | 0.0844152i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 23.6405 | − | 23.6405i | 1.10585 | − | 1.10585i | 0.112165 | − | 0.993690i | \(-0.464221\pi\) |
0.993690 | − | 0.112165i | \(-0.0357786\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 22.3878 | + | 0.823793i | 1.04497 | + | 0.0384514i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −11.6988 | − | 3.80117i | −0.544868 | − | 0.177038i | 0.0236333 | − | 0.999721i | \(-0.492477\pi\) |
−0.568501 | + | 0.822682i | \(0.692477\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.22226 | − | 16.1371i | 0.382121 | − | 0.749955i | −0.617200 | − | 0.786806i | \(-0.711733\pi\) |
0.999321 | + | 0.0368518i | \(0.0117330\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 5.64171 | + | 10.1021i | 0.261628 | + | 0.468473i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −16.3946 | − | 2.59664i | −0.758650 | − | 0.120158i | −0.234887 | − | 0.972023i | \(-0.575472\pi\) |
−0.523763 | + | 0.851864i | \(0.675472\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.27688 | + | 8.63938i | 0.289839 | + | 0.398930i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −12.9421 | + | 14.0240i | −0.596339 | + | 0.646191i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −20.9843 | − | 41.1841i | −0.964860 | − | 1.89365i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.9160 | + | 37.1833i | 0.546744 | + | 1.70609i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 15.3841 | − | 3.72042i | 0.704391 | − | 0.170346i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −21.0507 | − | 15.2942i | −0.961831 | − | 0.698811i | −0.00825583 | − | 0.999966i | \(-0.502628\pi\) |
−0.953575 | + | 0.301155i | \(0.902628\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.3960 | − | 11.1858i | 0.701996 | − | 0.510030i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 13.3321 | + | 3.74811i | 0.606633 | + | 0.170545i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.0730088 | + | 36.2099i | −0.00331516 | + | 1.64421i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.2935 | + | 6.26384i | 0.557071 | + | 0.283842i | 0.709773 | − | 0.704430i | \(-0.248797\pi\) |
−0.152702 | + | 0.988272i | \(0.548797\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.2052 | − | 24.3591i | 0.506716 | − | 1.10156i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.5354 | − | 6.99728i | 0.971879 | − | 0.315783i | 0.220305 | − | 0.975431i | \(-0.429295\pi\) |
0.751574 | + | 0.659648i | \(0.229295\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.54184 | − | 1.54184i | −0.0694409 | − | 0.0694409i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −14.2637 | + | 34.4009i | −0.641104 | + | 1.54620i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.80280 | − | 24.0099i | −0.170579 | − | 1.07699i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 7.12077i | − | 0.318770i | −0.987217 | − | 0.159385i | \(-0.949049\pi\) | ||
0.987217 | − | 0.159385i | \(-0.0509511\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 17.2837 | + | 2.03111i | 0.772178 | + | 0.0907434i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 20.1311 | − | 3.18846i | 0.897602 | − | 0.142166i | 0.309449 | − | 0.950916i | \(-0.399855\pi\) |
0.588153 | + | 0.808750i | \(0.299855\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.3158 | − | 1.65520i | −0.459049 | − | 0.0736553i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.72492 | − | 11.0486i | −0.387487 | − | 0.490687i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.874684 | − | 2.69200i | −0.0387697 | − | 0.119321i | 0.929799 | − | 0.368069i | \(-0.119981\pi\) |
−0.968568 | + | 0.248748i | \(0.919981\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.58173 | − | 4.86808i | 0.0699718 | − | 0.215351i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 27.6183 | + | 29.7285i | 1.21938 | + | 1.31254i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.2977 | − | 0.0308443i | −0.674098 | − | 0.00135916i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.93020 | + | 18.5006i | −0.128870 | + | 0.813654i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 12.4215 | + | 22.1371i | 0.545245 | + | 0.971711i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 21.4218 | − | 29.4846i | 0.938507 | − | 1.29174i | −0.0179402 | − | 0.999839i | \(-0.505711\pi\) |
0.956447 | − | 0.291905i | \(-0.0942892\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −12.8556 | + | 6.55024i | −0.562135 | + | 0.286422i | −0.711878 | − | 0.702303i | \(-0.752155\pi\) |
0.149743 | + | 0.988725i | \(0.452155\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −17.8811 | + | 9.93879i | −0.780394 | + | 0.433764i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −11.4767 | + | 5.84769i | −0.499934 | + | 0.254729i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.78486 | − | 9.33856i | 0.294994 | − | 0.406025i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 11.8295 | + | 28.4253i | 0.513354 | + | 1.23355i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.62682 | + | 10.2713i | −0.0704655 | + | 0.444901i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −7.27822 | + | 5.26555i | −0.314665 | + | 0.227650i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −21.9193 | − | 14.6197i | −0.945889 | − | 0.630888i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.43575 | − | 7.49647i | 0.104915 | − | 0.322896i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.28677 | − | 28.5817i | −0.399269 | − | 1.22882i | −0.925586 | − | 0.378536i | \(-0.876428\pi\) |
0.526317 | − | 0.850288i | \(-0.323572\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −0.751213 | + | 0.593220i | −0.0322376 | + | 0.0254575i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.91286 | + | 25.0314i | 0.167609 | + | 1.07223i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −32.6302 | + | 5.16812i | −1.39517 | + | 0.220973i | −0.808329 | − | 0.588731i | \(-0.799628\pi\) |
−0.586839 | + | 0.809704i | \(0.699628\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 3.73447 | − | 15.6697i | 0.159383 | − | 0.668769i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 3.94945i | − | 0.168252i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.35668 | + | 40.1345i | 0.270314 | + | 1.70669i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 18.5846 | − | 27.7426i | 0.788873 | − | 1.17761i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 21.8255 | + | 21.8255i | 0.924778 | + | 0.924778i | 0.997362 | − | 0.0725847i | \(-0.0231247\pi\) |
−0.0725847 | + | 0.997362i | \(0.523125\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −17.4781 | + | 5.67897i | −0.739243 | + | 0.240195i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −37.6631 | − | 17.3250i | −1.59014 | − | 0.731464i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.53782 | − | 0.783556i | −0.0648112 | − | 0.0330230i | 0.421285 | − | 0.906929i | \(-0.361579\pi\) |
−0.486096 | + | 0.873906i | \(0.661579\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.70397 | − | 7.81765i | 0.239968 | − | 0.328891i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −12.4392 | + | 17.2412i | −0.522398 | + | 0.724062i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.8632 | − | 7.89256i | 0.455408 | − | 0.330873i | −0.336319 | − | 0.941748i | \(-0.609182\pi\) |
0.791727 | + | 0.610875i | \(0.209182\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.8833 | + | 10.0868i | 0.580999 | + | 0.422121i | 0.839084 | − | 0.544001i | \(-0.183091\pi\) |
−0.258085 | + | 0.966122i | \(0.583091\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 35.1339 | − | 12.9947i | 1.46774 | − | 0.542862i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.58007 | − | 16.7262i | −0.107596 | − | 0.697531i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.02409 | − | 9.86033i | −0.209156 | − | 0.410491i | 0.762467 | − | 0.647027i | \(-0.223988\pi\) |
−0.971623 | + | 0.236536i | \(0.923988\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 6.68932 | + | 6.17326i | 0.277999 | + | 0.256552i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 17.1527 | + | 23.6086i | 0.711613 | + | 0.979451i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −28.9285 | − | 4.58182i | −1.19810 | − | 0.189760i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 12.6220 | + | 7.74095i | 0.521855 | + | 0.320049i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −9.65285 | + | 18.9448i | −0.398416 | + | 0.781935i | −0.999856 | − | 0.0169832i | \(-0.994594\pi\) |
0.601440 | + | 0.798918i | \(0.294594\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.1884 | − | 7.20945i | −0.914258 | − | 0.297060i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.64550 | + | 33.2648i | 0.273359 | + | 1.36833i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 12.3241 | − | 12.3241i | 0.506090 | − | 0.506090i | −0.407234 | − | 0.913324i | \(-0.633507\pi\) |
0.913324 | + | 0.407234i | \(0.133507\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.2981 | − | 20.3122i | −0.422180 | − | 0.832720i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.122982 | − | 3.06525i | −0.00503332 | − | 0.125452i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −13.1359 | −0.536716 | −0.268358 | − | 0.963319i | \(-0.586481\pi\) | ||||
−0.268358 | + | 0.963319i | \(0.586481\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 39.9534 | 1.62973 | 0.814867 | − | 0.579648i | \(-0.196810\pi\) | ||||
0.814867 | + | 0.579648i | \(0.196810\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 1.04162 | − | 13.5219i | 0.0424178 | − | 0.550655i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 31.4003 | − | 31.2739i | 1.27660 | − | 1.27147i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.63234 | + | 8.63234i | −0.350376 | + | 0.350376i | −0.860249 | − | 0.509874i | \(-0.829692\pi\) |
0.509874 | + | 0.860249i | \(0.329692\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.02916 | − | 0.405377i | 0.0822258 | − | 0.0164267i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 7.08288 | + | 2.30137i | 0.286543 | + | 0.0931034i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.3185 | − | 24.1765i | 0.497541 | − | 0.976480i | −0.496558 | − | 0.868004i | \(-0.665403\pi\) |
0.994099 | − | 0.108476i | \(-0.0345971\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 3.53867 | + | 17.9011i | 0.142693 | + | 0.721840i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.2868 | + | 2.57957i | 0.655681 | + | 0.103850i | 0.475406 | − | 0.879766i | \(-0.342301\pi\) |
0.180275 | + | 0.983616i | \(0.442301\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.86705 | − | 10.8281i | −0.316203 | − | 0.435216i | 0.621100 | − | 0.783731i | \(-0.286686\pi\) |
−0.937303 | + | 0.348515i | \(0.886686\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −9.80773 | − | 14.5995i | −0.393571 | − | 0.585857i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.97392 | + | 9.76187i | 0.199276 | + | 0.391101i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 20.1063 | + | 14.8573i | 0.804250 | + | 0.594291i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −26.0482 | − | 70.4266i | −1.04026 | − | 2.81257i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 30.0732 | + | 21.8495i | 1.19910 | + | 0.871196i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 16.8778 | − | 12.2624i | 0.671894 | − | 0.488160i | −0.198764 | − | 0.980047i | \(-0.563693\pi\) |
0.870659 | + | 0.491887i | \(0.163693\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.50193 | + | 5.34242i | −0.0596964 | + | 0.212342i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.55970 | + | 1.14869i | −0.141262 | + | 0.0455842i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.79235 | − | 1.42277i | −0.110637 | − | 0.0563723i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −16.0870 | + | 26.3497i | −0.636392 | + | 1.04238i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 19.5368 | − | 6.34790i | 0.771658 | − | 0.250727i | 0.103383 | − | 0.994642i | \(-0.467033\pi\) |
0.668275 | + | 0.743915i | \(0.267033\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.8324 | + | 20.8324i | 0.821549 | + | 0.821549i | 0.986330 | − | 0.164781i | \(-0.0526917\pi\) |
−0.164781 | + | 0.986330i | \(0.552692\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −25.3474 | + | 19.9335i | −0.998051 | + | 0.784882i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 6.10259 | + | 38.5303i | 0.239918 | + | 1.51478i | 0.753905 | + | 0.656983i | \(0.228168\pi\) |
−0.513988 | + | 0.857798i | \(0.671832\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 56.9743i | − | 2.23644i | ||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.42665 | − | 12.1400i | 0.0559149 | − | 0.475805i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −32.1247 | + | 5.08805i | −1.25714 | + | 0.199111i | −0.749235 | − | 0.662304i | \(-0.769579\pi\) |
−0.507901 | + | 0.861415i | \(0.669579\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.16347 | + | 4.64577i | −0.358047 | + | 0.181525i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −5.53697 | + | 3.40571i | −0.216018 | + | 0.132870i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.17031 | + | 18.9903i | 0.240361 | + | 0.739755i | 0.996365 | + | 0.0851880i | \(0.0271491\pi\) |
−0.756004 | + | 0.654567i | \(0.772851\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.21748 | + | 12.9801i | −0.164041 | + | 0.504866i | −0.998964 | − | 0.0455001i | \(-0.985512\pi\) |
0.834923 | + | 0.550366i | \(0.185512\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −9.14605 | + | 13.7127i | −0.355203 | + | 0.532555i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 12.8257 | − | 39.2044i | 0.497361 | − | 1.52028i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.267791 | + | 1.69077i | −0.0103689 | + | 0.0654668i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.64551 | − | 2.04556i | 0.140943 | − | 0.0790859i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −17.5213 | + | 24.1161i | −0.676404 | + | 0.930990i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.04272 | + | 0.531291i | −0.0401938 | + | 0.0204798i | −0.473972 | − | 0.880540i | \(-0.657180\pi\) |
0.433778 | + | 0.901020i | \(0.357180\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 25.4737 | + | 5.10790i | 0.980483 | + | 0.196603i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.46293 | + | 1.25493i | −0.0946581 | + | 0.0482307i | −0.500679 | − | 0.865633i | \(-0.666916\pi\) |
0.406020 | + | 0.913864i | \(0.366916\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.4846 | − | 30.9474i | 0.862881 | − | 1.18765i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −24.3927 | + | 13.6872i | −0.934730 | + | 0.524493i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −4.28310 | + | 27.0424i | −0.163888 | + | 1.03475i | 0.759395 | + | 0.650630i | \(0.225495\pi\) |
−0.923283 | + | 0.384119i | \(0.874505\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.0708 | + | 11.7257i | 0.614035 | + | 0.448017i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 16.6330 | − | 24.9379i | 0.634590 | − | 0.951440i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.59854 | + | 11.0752i | −0.137094 | + | 0.421931i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.92199 | + | 21.3037i | 0.263325 | + | 0.810430i | 0.992075 | + | 0.125650i | \(0.0401017\pi\) |
−0.728750 | + | 0.684780i | \(0.759898\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 33.5104 | − | 20.6118i | 1.27296 | − | 0.782977i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.78560 | − | 7.39276i | 0.143596 | − | 0.280424i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −20.0632 | + | 3.17770i | −0.759948 | + | 0.120364i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.10513 | − | 26.4230i | 0.117447 | − | 0.999410i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 19.9094i | − | 0.751969i | −0.926626 | − | 0.375985i | \(-0.877305\pi\) | ||
0.926626 | − | 0.375985i | \(-0.122695\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.5326 | + | 66.5005i | 0.397246 | + | 2.50811i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 13.0582 | − | 0.497545i | 0.491801 | − | 0.0187386i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 7.80455 | + | 7.80455i | 0.293520 | + | 0.293520i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −16.9259 | + | 5.49956i | −0.635666 | + | 0.206540i | −0.609083 | − | 0.793106i | \(-0.708463\pi\) |
−0.0265827 | + | 0.999647i | \(0.508463\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 26.8907 | − | 44.0456i | 1.00848 | − | 1.65184i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 9.01008 | + | 4.59086i | 0.337430 | + | 0.171929i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −16.0605 | − | 22.1993i | −0.600627 | − | 0.830208i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −9.37198 | + | 33.3364i | −0.350003 | + | 1.24497i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 33.9545 | − | 24.6694i | 1.26629 | − | 0.920014i | 0.267242 | − | 0.963629i | \(-0.413888\pi\) |
0.999048 | + | 0.0436153i | \(0.0138876\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.0745 | + | 9.49915i | 0.486918 | + | 0.353767i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.57937 | − | 6.97386i | −0.0959279 | − | 0.259361i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.47808 | − | 2.05175i | −0.0548946 | − | 0.0762002i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.3404 | + | 22.2569i | 0.420594 | + | 0.825462i | 0.999946 | + | 0.0103844i | \(0.00330552\pi\) |
−0.579352 | + | 0.815077i | \(0.696694\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 26.2223 | − | 6.43369i | 0.971195 | − | 0.238285i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −21.0998 | − | 29.0414i | −0.780405 | − | 1.07413i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 30.1622 | + | 4.77723i | 1.11407 | + | 0.176451i | 0.686216 | − | 0.727398i | \(-0.259270\pi\) |
0.427852 | + | 0.903849i | \(0.359270\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.46012 | − | 0.652817i | −0.201400 | − | 0.0240795i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −11.3936 | + | 22.3612i | −0.419688 | + | 0.823684i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18.0849 | + | 5.87616i | 0.665266 | + | 0.216158i | 0.622133 | − | 0.782911i | \(-0.286266\pi\) |
0.0431325 | + | 0.999069i | \(0.486266\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −29.2765 | + | 5.84872i | −1.07550 | + | 0.214858i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −21.7526 | + | 21.7526i | −0.798025 | + | 0.798025i | −0.982784 | − | 0.184759i | \(-0.940850\pi\) |
0.184759 | + | 0.982784i | \(0.440850\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.85543 | + | 36.4934i | −0.214526 | + | 1.33701i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.84640 | − | 36.9510i | 0.104144 | − | 1.35197i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 9.49011 | 0.346761 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.51184 | −0.0916583 | −0.0458292 | − | 0.998949i | \(-0.514593\pi\) | ||||
−0.0458292 | + | 0.998949i | \(0.514593\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.531003 | + | 13.2349i | 0.0193508 | + | 0.482307i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.86826 | + | 11.6437i | −0.0679928 | + | 0.423758i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.6543 | − | 10.6543i | 0.387238 | − | 0.387238i | −0.486463 | − | 0.873701i | \(-0.661713\pi\) |
0.873701 | + | 0.486463i | \(0.161713\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.37602 | + | 31.9160i | 0.231435 | + | 1.15848i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 25.2259 | + | 8.19638i | 0.914437 | + | 0.297119i | 0.728183 | − | 0.685383i | \(-0.240365\pi\) |
0.186254 | + | 0.982502i | \(0.440365\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.1510 | − | 23.8477i | 0.439896 | − | 0.863344i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −6.76175 | + | 28.1206i | −0.244471 | + | 1.01670i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −22.3737 | − | 3.54365i | −0.807867 | − | 0.127954i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.4291 | + | 17.1072i | 0.448206 | + | 0.616903i | 0.972011 | − | 0.234935i | \(-0.0754878\pi\) |
−0.523805 | + | 0.851838i | \(0.675488\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 11.2286 | + | 10.3623i | 0.404387 | + | 0.373190i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 16.4953 | + | 32.3738i | 0.593294 | + | 1.16441i | 0.971134 | + | 0.238534i | \(0.0766669\pi\) |
−0.377840 | + | 0.925871i | \(0.623333\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −14.2251 | + | 4.55868i | −0.510981 | + | 0.163753i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −33.0858 | + | 12.2372i | −1.18695 | + | 0.439007i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −29.7660 | − | 21.6263i | −1.06648 | − | 0.774842i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 46.2186 | − | 33.5798i | 1.65383 | − | 1.20158i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.29604 | − | 1.27835i | −0.0820539 | − | 0.0456843i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −14.4406 | − | 19.9604i | −0.515409 | − | 0.712416i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −25.7846 | − | 13.1379i | −0.919122 | − | 0.468316i | −0.0706170 | − | 0.997504i | \(-0.522497\pi\) |
−0.848505 | + | 0.529188i | \(0.822497\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −27.3254 | − | 12.5697i | −0.972809 | − | 0.447493i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −9.72301 | + | 3.15920i | −0.345710 | + | 0.112328i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.38054 | + | 8.38054i | 0.297602 | + | 0.297602i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.777988 | + | 20.4185i | 0.0275924 | + | 0.724171i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.30431 | + | 8.23509i | 0.0462010 | + | 0.291702i | 0.999961 | − | 0.00886857i | \(-0.00282299\pi\) |
−0.953760 | + | 0.300570i | \(0.902823\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.5471i | 0.514640i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.22568 | − | 13.5349i | 0.113974 | − | 0.478231i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 11.8812 | − | 1.88179i | 0.419278 | − | 0.0664070i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.14898 | + | 15.9139i | −0.287214 | + | 0.560890i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −28.9030 | + | 22.8242i | −1.01744 | + | 0.803451i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −10.7932 | − | 33.2182i | −0.379470 | − | 1.16789i | −0.940413 | − | 0.340034i | \(-0.889561\pi\) |
0.560943 | − | 0.827854i | \(-0.310439\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.408186 | + | 1.25627i | −0.0143333 | + | 0.0441135i | −0.957967 | − | 0.286877i | \(-0.907383\pi\) |
0.943634 | + | 0.330991i | \(0.107383\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 13.8880 | + | 9.26300i | 0.487073 | + | 0.324867i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 27.9631 | + | 20.4026i | 0.979504 | + | 0.714673i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.1713 | − | 64.2188i | 0.355848 | − | 2.24673i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.00995 | − | 14.4415i | −0.210005 | − | 0.504626i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 7.54308 | − | 10.3822i | 0.263255 | − | 0.362340i | −0.656843 | − | 0.754027i | \(-0.728109\pi\) |
0.920098 | + | 0.391688i | \(0.128109\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 33.4192 | − | 17.0279i | 1.16492 | − | 0.593556i | 0.238905 | − | 0.971043i | \(-0.423212\pi\) |
0.926015 | + | 0.377487i | \(0.123212\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −39.8893 | − | 26.8383i | −1.38877 | − | 0.934391i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −14.4342 | + | 7.35461i | −0.501928 | + | 0.255745i | −0.686574 | − | 0.727060i | \(-0.740886\pi\) |
0.184646 | + | 0.982805i | \(0.440886\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.37217 | − | 11.5233i | 0.290777 | − | 0.400221i | −0.638489 | − | 0.769631i | \(-0.720440\pi\) |
0.929266 | + | 0.369410i | \(0.120440\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −27.2997 | − | 48.6524i | −0.947017 | − | 1.68773i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.957623 | − | 6.04619i | 0.0331797 | − | 0.209488i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.98565 | + | 21.3530i | −0.241748 | + | 0.738952i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −11.3731 | + | 10.5659i | −0.393113 | + | 0.365210i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 12.4231 | − | 38.2343i | 0.428892 | − | 1.32000i | −0.470325 | − | 0.882493i | \(-0.655863\pi\) |
0.899217 | − | 0.437502i | \(-0.144137\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.88245 | − | 27.3374i | −0.306291 | − | 0.942668i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.96379 | + | 3.75313i | 0.102078 | + | 0.129265i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 16.2106 | − | 8.21857i | 0.557661 | − | 0.282727i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −46.2416 | + | 7.32395i | −1.58888 | + | 0.251654i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 26.2152 | + | 3.08071i | 0.899703 | + | 0.105730i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 29.1832i | − | 1.00039i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.09833 | − | 25.8759i | −0.140324 | − | 0.885973i | −0.952937 | − | 0.303169i | \(-0.901955\pi\) |
0.812613 | − | 0.582804i | \(-0.198045\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −44.6759 | + | 27.3555i | −1.52788 | + | 0.935539i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −33.2839 | − | 33.2839i | −1.13696 | − | 1.13696i | −0.988993 | − | 0.147964i | \(-0.952728\pi\) |
−0.147964 | − | 0.988993i | \(-0.547272\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.3820 | − | 9.87171i | 1.03662 | − | 0.336818i | 0.259216 | − | 0.965819i | \(-0.416536\pi\) |
0.777405 | + | 0.629001i | \(0.216536\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 8.05600 | − | 17.5130i | 0.274548 | − | 0.596843i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −28.4236 | − | 14.4825i | −0.967549 | − | 0.492991i | −0.102530 | − | 0.994730i | \(-0.532694\pi\) |
−0.865019 | + | 0.501739i | \(0.832694\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −31.1870 | + | 10.0638i | −1.06039 | + | 0.342180i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.64885 | − | 0.744679i | −0.0899595 | − | 0.0252906i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −77.2581 | + | 56.1313i | −2.62080 | + | 1.90412i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.07253 | + | 5.86504i | 0.273527 | + | 0.198729i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −47.2196 | + | 11.4194i | −1.59814 | + | 0.386487i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −8.00925 | − | 25.1669i | −0.270762 | − | 0.850796i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11.9289 | + | 23.4117i | 0.402809 | + | 0.790558i | 0.999933 | − | 0.0115917i | \(-0.00368982\pi\) |
−0.597124 | + | 0.802149i | \(0.703690\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −12.4154 | + | 13.4533i | −0.418760 | + | 0.453767i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.23004 | + | 7.19854i | 0.176205 | + | 0.242525i | 0.887980 | − | 0.459883i | \(-0.152108\pi\) |
−0.711775 | + | 0.702407i | \(0.752108\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 45.7465 | + | 7.24553i | 1.53949 | + | 0.243831i | 0.867768 | − | 0.496970i | \(-0.165554\pi\) |
0.671724 | + | 0.740802i | \(0.265554\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −38.9932 | + | 7.70816i | −1.31074 | + | 0.259107i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.61971 | − | 3.17886i | 0.0543846 | − | 0.106736i | −0.862215 | − | 0.506543i | \(-0.830923\pi\) |
0.916599 | + | 0.399808i | \(0.130923\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.75810 | + | 1.22108i | 0.126042 | + | 0.0409537i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −49.3742 | − | 7.65216i | −1.65410 | − | 0.256357i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −18.6314 | + | 18.6314i | −0.623475 | + | 0.623475i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 24.1004 | − | 24.0034i | 0.805586 | − | 0.802344i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 12.9299 | − | 0.518766i | 0.431717 | − | 0.0173211i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.51093 | 0.0503924 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.7466 | −0.757800 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 34.0386 | − | 1.36568i | 1.13273 | − | 0.0454468i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.558793 | − | 1.10218i | −0.0185749 | − | 0.0366377i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.84343 | + | 8.84343i | −0.293641 | + | 0.293641i | −0.838517 | − | 0.544876i | \(-0.816577\pi\) |
0.544876 | + | 0.838517i | \(0.316577\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.12297 | − | 13.9721i | −0.0372466 | − | 0.463426i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 30.2562 | + | 9.83082i | 1.00243 | + | 0.325710i | 0.763837 | − | 0.645410i | \(-0.223313\pi\) |
0.238595 | + | 0.971119i | \(0.423313\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −31.1350 | + | 61.1058i | −1.03042 | + | 2.02231i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 18.8755 | + | 8.72890i | 0.624005 | + | 0.288568i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 10.7199 | + | 1.69787i | 0.354004 | + | 0.0560687i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.0511 | − | 16.5869i | −0.397529 | − | 0.547152i | 0.562593 | − | 0.826734i | \(-0.309804\pi\) |
−0.960122 | + | 0.279582i | \(0.909804\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.05400 | + | 6.56009i | −0.199486 | + | 0.216162i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −10.3120 | − | 20.2385i | −0.339425 | − | 0.666159i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 30.3596 | + | 30.6054i | 0.998217 | + | 1.00630i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.82438 | − | 19.9490i | −0.158453 | − | 0.655212i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −35.8841 | − | 26.0713i | −1.17732 | − | 0.855373i | −0.185453 | − | 0.982653i | \(-0.559375\pi\) |
−0.991867 | + | 0.127281i | \(0.959375\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.97020 | − | 6.51723i | 0.293987 | − | 0.213594i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −13.9863 | − | 3.93202i | −0.457891 | − | 0.128729i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 31.5458 | − | 43.2355i | 1.03166 | − | 1.41395i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1.10010 | − | 0.560530i | −0.0359388 | − | 0.0183117i | 0.435929 | − | 0.899981i | \(-0.356420\pi\) |
−0.471868 | + | 0.881669i | \(0.656420\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −6.42502 | + | 13.9674i | −0.209673 | + | 0.455810i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 33.2056 | − | 10.7891i | 1.08247 | − | 0.351716i | 0.287138 | − | 0.957889i | \(-0.407296\pi\) |
0.795333 | + | 0.606173i | \(0.207296\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.2765 | + | 11.2765i | 0.367214 | + | 0.367214i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −18.6404 | − | 20.1459i | −0.606372 | − | 0.655346i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.31969 | + | 39.9009i | 0.205362 | + | 1.29661i | 0.847820 | + | 0.530285i | \(0.177915\pi\) |
−0.642457 | + | 0.766321i | \(0.722085\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 4.78275i | − | 0.155255i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 25.5584 | + | 3.00353i | 0.828789 | + | 0.0973962i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −51.8286 | + | 8.20885i | −1.67889 | + | 0.265911i | −0.921876 | − | 0.387484i | \(-0.873344\pi\) |
−0.757017 | + | 0.653395i | \(0.773344\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 7.46895 | + | 47.7804i | 0.241689 | + | 1.54614i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 3.01381 | + | 3.81649i | 0.0974228 | + | 0.123369i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −6.49440 | − | 19.9877i | −0.209715 | − | 0.645437i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.82142 | + | 20.9942i | −0.220046 | + | 0.677232i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −9.17760 | − | 7.81210i | −0.295744 | − | 0.251741i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.52092 | + | 6.88807i | −0.306489 | + | 0.221735i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.62324 | − | 16.5625i | 0.0843578 | − | 0.532614i | −0.908930 | − | 0.416948i | \(-0.863100\pi\) |
0.993288 | − | 0.115666i | \(-0.0369003\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −28.5368 | − | 50.8571i | −0.916734 | − | 1.63376i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −29.3538 | + | 40.4020i | −0.942008 | + | 1.29656i | 0.0129790 | + | 0.999916i | \(0.495869\pi\) |
−0.954987 | + | 0.296647i | \(0.904131\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −7.81794 | + | 3.98344i | −0.250632 | + | 0.127703i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −13.0204 | + | 13.9952i | −0.416985 | + | 0.448204i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 54.4219 | − | 27.7294i | 1.74111 | − | 0.887141i | 0.773847 | − | 0.633373i | \(-0.218330\pi\) |
0.967265 | − | 0.253768i | \(-0.0816699\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.1342 | + | 20.8304i | −0.483691 | + | 0.665743i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −31.3819 | + | 13.0599i | −1.00195 | + | 0.416970i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.42079 | − | 8.97053i | 0.0453163 | − | 0.286116i | −0.954615 | − | 0.297843i | \(-0.903733\pi\) |
0.999931 | + | 0.0117271i | \(0.00373293\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −43.7932 | − | 0.0882988i | −1.39537 | − | 0.00281343i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −11.4848 | − | 7.66014i | −0.365566 | − | 0.243825i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.70868 | + | 26.8026i | −0.276920 | + | 0.852272i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.23922 | + | 13.0470i | 0.134663 | + | 0.414451i | 0.995537 | − | 0.0943669i | \(-0.0300827\pi\) |
−0.860874 | + | 0.508818i | \(0.830083\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 16.1162 | − | 12.7267i | 0.511433 | − | 0.403870i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 3.91039 | + | 0.627429i | 0.123968 | + | 0.0198908i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.1620 | − | 3.03495i | 0.606865 | − | 0.0961180i | 0.154563 | − | 0.987983i | \(-0.450603\pi\) |
0.452302 | + | 0.891865i | \(0.350603\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 42.0697 | + | 15.4014i | 1.33103 | + | 0.487280i |
(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 | 300.2.x.a.53.1 | yes | 80 | |
3.2 | odd | 2 | inner | 300.2.x.a.53.10 | yes | 80 | |
25.17 | odd | 20 | inner | 300.2.x.a.17.10 | yes | 80 | |
75.17 | even | 20 | inner | 300.2.x.a.17.1 | ✓ | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.x.a.17.1 | ✓ | 80 | 75.17 | even | 20 | inner | |
300.2.x.a.17.10 | yes | 80 | 25.17 | odd | 20 | inner | |
300.2.x.a.53.1 | yes | 80 | 1.1 | even | 1 | trivial | |
300.2.x.a.53.10 | yes | 80 | 3.2 | odd | 2 | inner |