Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.q (of order \(11\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 193.6 | ||
Character | \(\chi\) | \(=\) | 804.193 |
Dual form | 804.2.q.b.25.6 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{11}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0.654861 | + | 0.755750i | 0.378084 | + | 0.436332i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.59336 | + | 1.66665i | 1.15979 | + | 0.745349i | 0.971564 | − | 0.236777i | \(-0.0760912\pi\) |
0.188222 | + | 0.982126i | \(0.439728\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.180977 | − | 1.25872i | 0.0684028 | − | 0.475752i | −0.926612 | − | 0.376020i | \(-0.877292\pi\) |
0.995014 | − | 0.0997319i | \(-0.0317985\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.142315 | + | 0.989821i | −0.0474383 | + | 0.329940i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.04726 | + | 2.60101i | 1.22029 | + | 0.784235i | 0.982352 | − | 0.187044i | \(-0.0598907\pi\) |
0.237942 | + | 0.971279i | \(0.423527\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.03230 | − | 4.45011i | −0.563658 | − | 1.23424i | −0.950106 | − | 0.311927i | \(-0.899026\pi\) |
0.386449 | − | 0.922311i | \(-0.373702\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.438719 | + | 3.05136i | 0.113277 | + | 0.787857i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.53314 | − | 1.03742i | 0.856911 | − | 0.251612i | 0.176372 | − | 0.984324i | \(-0.443564\pi\) |
0.680539 | + | 0.732712i | \(0.261746\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.417152 | + | 2.90136i | 0.0957013 | + | 0.665617i | 0.980044 | + | 0.198779i | \(0.0636977\pi\) |
−0.884343 | + | 0.466838i | \(0.845393\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.06979 | − | 0.687514i | 0.233448 | − | 0.150028i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.78008 | − | 2.05432i | −0.371172 | − | 0.428355i | 0.539180 | − | 0.842191i | \(-0.318734\pi\) |
−0.910352 | + | 0.413836i | \(0.864189\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.87072 | + | 4.09630i | 0.374143 | + | 0.819259i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.841254 | + | 0.540641i | −0.161899 | + | 0.104046i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.04126 | 0.193358 | 0.0966790 | − | 0.995316i | \(-0.469178\pi\) | ||||
0.0966790 | + | 0.995316i | \(0.469178\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.99390 | + | 4.36603i | −0.358115 | + | 0.784163i | 0.641736 | + | 0.766925i | \(0.278214\pi\) |
−0.999851 | + | 0.0172375i | \(0.994513\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.684674 | + | 4.76201i | 0.119187 | + | 0.828960i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.56719 | − | 2.96269i | 0.433934 | − | 0.500786i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.59300 | −1.24828 | −0.624141 | − | 0.781312i | \(-0.714551\pi\) | ||||
−0.624141 | + | 0.781312i | \(0.714551\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.03230 | − | 4.45011i | 0.325428 | − | 0.712588i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.78280 | + | 1.40436i | −0.746948 | + | 0.219324i | −0.632988 | − | 0.774162i | \(-0.718172\pi\) |
−0.113960 | + | 0.993485i | \(0.536354\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 10.2741 | − | 3.01674i | 1.56678 | − | 0.460049i | 0.620721 | − | 0.784032i | \(-0.286840\pi\) |
0.946063 | + | 0.323983i | \(0.105022\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.01876 | + | 2.32977i | −0.300939 | + | 0.347302i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.421438 | − | 0.486365i | −0.0614731 | − | 0.0709437i | 0.724180 | − | 0.689611i | \(-0.242218\pi\) |
−0.785653 | + | 0.618667i | \(0.787673\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.16482 | + | 1.51653i | 0.737832 | + | 0.216647i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.09774 | + | 1.99080i | 0.433771 | + | 0.278768i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −13.4486 | − | 3.94887i | −1.84731 | − | 0.542418i | −0.999935 | − | 0.0114203i | \(-0.996365\pi\) |
−0.847373 | − | 0.530998i | \(-0.821817\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.16101 | + | 13.4907i | 0.830751 | + | 1.81909i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.91952 | + | 2.21525i | −0.254247 | + | 0.293417i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.53624 | + | 3.36389i | −0.200001 | + | 0.437941i | −0.982883 | − | 0.184229i | \(-0.941021\pi\) |
0.782883 | + | 0.622170i | \(0.213749\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.360924 | + | 0.231952i | −0.0462116 | + | 0.0296984i | −0.563543 | − | 0.826087i | \(-0.690562\pi\) |
0.517331 | + | 0.855785i | \(0.326926\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.22015 | + | 0.358269i | 0.153725 | + | 0.0451377i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 2.14630 | − | 14.9279i | 0.266216 | − | 1.85157i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.33324 | + | 6.20939i | −0.651559 | + | 0.758598i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.386848 | − | 2.69059i | 0.0465710 | − | 0.323908i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.46015 | + | 2.77775i | 1.12271 | + | 0.329658i | 0.789840 | − | 0.613313i | \(-0.210164\pi\) |
0.332874 | + | 0.942971i | \(0.391982\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.916042 | + | 0.588705i | −0.107215 | + | 0.0689027i | −0.593149 | − | 0.805092i | \(-0.702116\pi\) |
0.485935 | + | 0.873995i | \(0.338479\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.87072 | + | 4.09630i | −0.216012 | + | 0.473000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.00641 | − | 4.62365i | 0.456573 | − | 0.526913i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.64183 | + | 3.59510i | 0.184720 | + | 0.404480i | 0.979225 | − | 0.202778i | \(-0.0649969\pi\) |
−0.794505 | + | 0.607258i | \(0.792270\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.959493 | − | 0.281733i | −0.106610 | − | 0.0313036i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.80142 | − | 3.08568i | −0.527024 | − | 0.338698i | 0.249921 | − | 0.968266i | \(-0.419595\pi\) |
−0.776945 | + | 0.629568i | \(0.783232\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.8917 | + | 3.19810i | 1.18137 | + | 0.346882i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0.681883 | + | 0.786935i | 0.0731056 | + | 0.0843683i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.42570 | − | 9.72377i | 0.893122 | − | 1.03072i | −0.106216 | − | 0.994343i | \(-0.533874\pi\) |
0.999338 | − | 0.0363747i | \(-0.0115810\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.96924 | + | 1.75273i | −0.625747 | + | 0.183736i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.60536 | + | 1.35225i | −0.477553 | + | 0.140222i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.75372 | + | 8.21951i | −0.385124 | + | 0.843304i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.06821 | −0.514598 | −0.257299 | − | 0.966332i | \(-0.582833\pi\) | ||||
−0.257299 | + | 0.966332i | \(0.582833\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.15052 | + | 3.63590i | −0.316640 | + | 0.365422i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.61568 | + | 11.2373i | 0.160766 | + | 1.11815i | 0.897195 | + | 0.441635i | \(0.145601\pi\) |
−0.736429 | + | 0.676515i | \(0.763489\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.99109 | − | 8.73926i | 0.393253 | − | 0.861105i | −0.604657 | − | 0.796486i | \(-0.706690\pi\) |
0.997910 | − | 0.0646185i | \(-0.0205830\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.92020 | 0.382573 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.67901 | − | 1.07903i | 0.162316 | − | 0.104314i | −0.456961 | − | 0.889487i | \(-0.651062\pi\) |
0.619277 | + | 0.785173i | \(0.287426\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.37773 | − | 13.9653i | −0.610876 | − | 1.33763i | −0.921973 | − | 0.387254i | \(-0.873424\pi\) |
0.311097 | − | 0.950378i | \(-0.399304\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.97236 | − | 5.73841i | −0.471955 | − | 0.544666i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 10.4150 | − | 6.69331i | 0.979760 | − | 0.629654i | 0.0503616 | − | 0.998731i | \(-0.483963\pi\) |
0.929399 | + | 0.369077i | \(0.120326\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.19255 | − | 8.29436i | −0.111206 | − | 0.773453i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 4.69404 | − | 1.37829i | 0.433964 | − | 0.127423i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.666410 | − | 4.63498i | −0.0610897 | − | 0.424888i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.04545 | + | 11.0480i | 0.458677 | + | 1.00436i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.19341 | − | 2.69494i | −0.378107 | − | 0.242995i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.217935 | − | 1.51577i | 0.0194927 | − | 0.135575i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.42585 | + | 16.8721i | −0.215259 | + | 1.49716i | 0.539962 | + | 0.841689i | \(0.318439\pi\) |
−0.755221 | + | 0.655470i | \(0.772471\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.00800 | + | 5.78909i | 0.793110 | + | 0.509701i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.73740 | − | 8.92944i | −0.676020 | − | 0.780169i | 0.309286 | − | 0.950969i | \(-0.399910\pi\) |
−0.985306 | + | 0.170801i | \(0.945365\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.72749 | 0.323215 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −3.08273 | −0.265319 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −14.9842 | − | 17.2927i | −1.28019 | − | 1.47742i | −0.799678 | − | 0.600429i | \(-0.794996\pi\) |
−0.480512 | − | 0.876988i | \(-0.659549\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.20148 | + | 4.62811i | 0.610822 | + | 0.392551i | 0.809165 | − | 0.587581i | \(-0.199920\pi\) |
−0.198344 | + | 0.980133i | \(0.563556\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.0915872 | − | 0.637003i | 0.00771304 | − | 0.0536454i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 3.34957 | − | 23.2968i | 0.280105 | − | 1.94817i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.70038 | + | 1.73543i | 0.224254 | + | 0.144119i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 2.23612 | + | 4.89643i | 0.184432 | + | 0.403851i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.62615 | − | 11.3101i | −0.133220 | − | 0.926563i | −0.941319 | − | 0.337517i | \(-0.890413\pi\) |
0.808100 | − | 0.589046i | \(-0.200496\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.0782 | + | 2.95922i | −0.820150 | + | 0.240818i | −0.664781 | − | 0.747039i | \(-0.731475\pi\) |
−0.155369 | + | 0.987856i | \(0.549657\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.524045 | + | 3.64481i | 0.0423665 | + | 0.294666i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.4476 | + | 7.99956i | −0.999812 | + | 0.642540i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.8095 | − | 12.4749i | −0.862694 | − | 0.995602i | −0.999987 | − | 0.00507169i | \(-0.998386\pi\) |
0.137293 | − | 0.990530i | \(-0.456160\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.82261 | − | 12.7497i | −0.461763 | − | 1.01112i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.90797 | + | 1.86884i | −0.229180 | + | 0.147285i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −23.8950 | −1.87160 | −0.935798 | − | 0.352535i | \(-0.885320\pi\) | ||||
−0.935798 | + | 0.352535i | \(0.885320\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −6.16101 | + | 13.4907i | −0.479634 | + | 1.05025i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.111829 | + | 0.777790i | 0.00865361 | + | 0.0601872i | 0.993691 | − | 0.112155i | \(-0.0357755\pi\) |
−0.985037 | + | 0.172343i | \(0.944866\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.16004 | + | 8.26313i | −0.550772 | + | 0.635625i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.93119 | −0.224154 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.29923 | − | 9.41400i | 0.326864 | − | 0.715733i | −0.672846 | − | 0.739782i | \(-0.734929\pi\) |
0.999711 | + | 0.0240491i | \(0.00765580\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.49465 | − | 1.61338i | 0.415357 | − | 0.121960i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −3.54828 | + | 1.04187i | −0.266705 | + | 0.0783116i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.23301 | + | 3.73109i | −0.241647 | + | 0.278875i | −0.863598 | − | 0.504181i | \(-0.831795\pi\) |
0.621952 | + | 0.783056i | \(0.286340\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.78046 | − | 8.97913i | −0.578317 | − | 0.667413i | 0.388925 | − | 0.921269i | \(-0.372846\pi\) |
−0.967242 | + | 0.253856i | \(0.918301\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.411653 | − | 0.120872i | −0.0304303 | − | 0.00893513i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −19.6914 | − | 12.6549i | −1.44774 | − | 0.930406i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 16.9979 | + | 4.99102i | 1.24301 | + | 0.364980i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.528269 | + | 1.15675i | 0.0384259 | + | 0.0841410i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −8.72050 | + | 10.0640i | −0.630993 | + | 0.728205i | −0.977755 | − | 0.209748i | \(-0.932736\pi\) |
0.346762 | + | 0.937953i | \(0.387281\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.745307 | − | 1.63200i | 0.0536484 | − | 0.117474i | −0.880909 | − | 0.473285i | \(-0.843068\pi\) |
0.934558 | + | 0.355811i | \(0.115795\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 12.6873 | − | 8.15360i | 0.908553 | − | 0.583892i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 2.10277 | + | 0.617430i | 0.149816 | + | 0.0439900i | 0.355781 | − | 0.934569i | \(-0.384215\pi\) |
−0.205965 | + | 0.978559i | \(0.566033\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.277162 | + | 1.92770i | −0.0196475 | + | 0.136651i | −0.997284 | − | 0.0736498i | \(-0.976535\pi\) |
0.977637 | + | 0.210301i | \(0.0674444\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.18527 | + | 0.0356889i | −0.577345 | + | 0.00251730i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.188445 | − | 1.31066i | 0.0132262 | − | 0.0919905i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.7441 | − | 4.32926i | −1.02977 | − | 0.302369i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 2.28674 | − | 1.46960i | 0.158939 | − | 0.102144i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.85815 | + | 12.8276i | −0.405217 | + | 0.887300i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.5033 | − | 16.7377i | 0.998450 | − | 1.15227i | 0.0101191 | − | 0.999949i | \(-0.496779\pi\) |
0.988331 | − | 0.152324i | \(-0.0486756\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.09580 | + | 8.96855i | 0.280639 | + | 0.614515i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 31.6723 | + | 9.29982i | 2.16003 | + | 0.634242i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.13477 | + | 3.29992i | 0.348571 | + | 0.224013i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.04479 | − | 0.306779i | −0.0706006 | − | 0.0207302i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −11.7970 | − | 13.6145i | −0.793554 | − | 0.915810i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.00925 | − | 4.62692i | 0.268479 | − | 0.309842i | −0.605461 | − | 0.795875i | \(-0.707011\pi\) |
0.873940 | + | 0.486033i | \(0.161557\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −4.32083 | + | 1.26871i | −0.288056 | + | 0.0845807i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −17.9113 | + | 5.25922i | −1.18881 | + | 0.349067i | −0.815565 | − | 0.578666i | \(-0.803574\pi\) |
−0.373247 | + | 0.927732i | \(0.621756\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.31208 | + | 13.8215i | −0.417114 | + | 0.913352i | 0.578131 | + | 0.815944i | \(0.303782\pi\) |
−0.995245 | + | 0.0974077i | \(0.968945\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.11796 | 0.402532 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 13.6117 | − | 15.7088i | 0.891734 | − | 1.02912i | −0.107655 | − | 0.994188i | \(-0.534334\pi\) |
0.999390 | − | 0.0349282i | \(-0.0111202\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.282339 | − | 1.96371i | −0.0184178 | − | 0.128098i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.64183 | + | 3.59510i | −0.106648 | + | 0.233527i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 14.7158 | 0.951884 | 0.475942 | − | 0.879477i | \(-0.342107\pi\) | ||||
0.475942 | + | 0.879477i | \(0.342107\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.08049 | − | 5.19301i | 0.520510 | − | 0.334511i | −0.253864 | − | 0.967240i | \(-0.581701\pi\) |
0.774374 | + | 0.632729i | \(0.218065\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.415415 | − | 0.909632i | −0.0266489 | − | 0.0583529i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 10.8667 | + | 12.5409i | 0.694250 | + | 0.801207i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.0636 | − | 7.75279i | 0.767587 | − | 0.493298i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.812256 | − | 5.64936i | −0.0514746 | − | 0.358014i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 17.5860 | − | 5.16370i | 1.11002 | − | 0.325930i | 0.325191 | − | 0.945648i | \(-0.394571\pi\) |
0.784824 | + | 0.619718i | \(0.212753\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.86112 | − | 12.9444i | −0.117008 | − | 0.813805i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.71560 | + | 10.3257i | 0.295302 | + | 0.646622i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.2898 | + | 9.18347i | 0.891370 | + | 0.572849i | 0.904219 | − | 0.427069i | \(-0.140454\pi\) |
−0.0128490 | + | 0.999917i | \(0.504090\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.37416 | + | 9.55747i | −0.0853860 | + | 0.593872i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.148187 | + | 1.03067i | −0.00917257 | + | 0.0637966i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.84893 | − | 1.83089i | −0.175672 | − | 0.112898i | 0.449850 | − | 0.893104i | \(-0.351478\pi\) |
−0.625522 | + | 0.780207i | \(0.715114\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −28.2957 | − | 32.6550i | −1.73819 | − | 2.00598i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 12.8664 | 0.787411 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −14.2503 | −0.868854 | −0.434427 | − | 0.900707i | \(-0.643049\pi\) | ||||
−0.434427 | + | 0.900707i | \(0.643049\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.8182 | − | 14.7930i | −0.778652 | − | 0.898612i | 0.218359 | − | 0.975868i | \(-0.429930\pi\) |
−0.997011 | + | 0.0772562i | \(0.975384\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.23365 | − | 3.36346i | −0.316755 | − | 0.203566i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.08326 | + | 21.4445i | −0.185927 | + | 1.29315i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.33591 | + | 16.2466i | −0.140351 | + | 0.976164i | 0.790942 | + | 0.611892i | \(0.209591\pi\) |
−0.931293 | + | 0.364272i | \(0.881318\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −4.03783 | − | 2.59496i | −0.241739 | − | 0.155356i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.90941 | − | 21.6986i | −0.591146 | − | 1.29443i | −0.934747 | − | 0.355313i | \(-0.884374\pi\) |
0.343601 | − | 0.939116i | \(-0.388353\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.59471 | + | 11.0915i | 0.0947957 | + | 0.659318i | 0.980710 | + | 0.195469i | \(0.0626230\pi\) |
−0.885914 | + | 0.463849i | \(0.846468\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.67006 | + | 2.54576i | −0.513570 | + | 0.150798i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.902118 | + | 6.27437i | 0.0532504 | + | 0.370364i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.89450 | + | 1.86018i | −0.170265 | + | 0.109423i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.31897 | − | 3.83030i | −0.194561 | − | 0.224536i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.510917 | + | 1.11875i | 0.0298481 | + | 0.0653582i | 0.923969 | − | 0.382468i | \(-0.124926\pi\) |
−0.894121 | + | 0.447826i | \(0.852198\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.59044 | + | 6.16340i | −0.558377 | + | 0.358847i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.81098 | −0.279162 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.52430 | + | 12.0965i | −0.319478 | + | 0.699560i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.93787 | − | 13.4782i | −0.111697 | − | 0.776869i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −7.43452 | + | 8.57989i | −0.427102 | + | 0.492902i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.32259 | −0.0757313 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.31587 | − | 2.88135i | 0.0751006 | − | 0.164447i | −0.868358 | − | 0.495938i | \(-0.834824\pi\) |
0.943458 | + | 0.331491i | \(0.107552\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.21830 | − | 2.70674i | 0.524410 | − | 0.153981i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.69351 | + | 0.497260i | −0.0960303 | + | 0.0281970i | −0.329395 | − | 0.944192i | \(-0.606845\pi\) |
0.233364 | + | 0.972389i | \(0.425026\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −14.5048 | + | 16.7394i | −0.819860 | + | 0.946169i | −0.999293 | − | 0.0376013i | \(-0.988028\pi\) |
0.179433 | + | 0.983770i | \(0.442574\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.56719 | + | 2.96269i | 0.144645 | + | 0.166929i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 17.9688 | + | 5.27612i | 1.00923 | + | 0.296336i | 0.744238 | − | 0.667915i | \(-0.232813\pi\) |
0.264991 | + | 0.964251i | \(0.414631\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.21427 | + | 2.70834i | 0.235954 | + | 0.151638i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.91500 | + | 0.562294i | 0.106885 | + | 0.0313842i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.48379 | + | 9.81813i | 0.249485 | + | 0.546295i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 14.4271 | − | 16.6498i | 0.800272 | − | 0.923563i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 6.37773 | − | 13.9653i | 0.352690 | − | 0.772282i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.688469 | + | 0.442452i | −0.0379565 | + | 0.0243932i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.7690 | − | 4.92382i | −0.921707 | − | 0.270638i | −0.213746 | − | 0.976889i | \(-0.568567\pi\) |
−0.707961 | + | 0.706252i | \(0.750385\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.08060 | − | 7.51572i | 0.0592163 | − | 0.411859i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −24.1799 | + | 7.21453i | −1.32109 | + | 0.394172i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.04964 | + | 28.1659i | −0.220598 | + | 1.53429i | 0.515188 | + | 0.857077i | \(0.327722\pi\) |
−0.735786 | + | 0.677214i | \(0.763187\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 11.8788 | + | 3.48794i | 0.645170 | + | 0.189439i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −19.4259 | + | 12.4843i | −1.05197 | + | 0.676063i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.54148 | − | 14.3238i | 0.353207 | − | 0.773415i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.48750 | − | 6.33292i | 0.295437 | − | 0.340953i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 14.4794 | + | 31.7054i | 0.777294 | + | 1.70204i | 0.709891 | + | 0.704311i | \(0.248744\pi\) |
0.0674033 | + | 0.997726i | \(0.478529\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.45689 | − | 0.721408i | −0.131514 | − | 0.0386161i | 0.215313 | − | 0.976545i | \(-0.430923\pi\) |
−0.346827 | + | 0.937929i | \(0.612741\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.11559 | + | 2.64493i | 0.219674 | + | 0.141176i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 14.6377 | + | 4.29803i | 0.779088 | + | 0.228761i | 0.647013 | − | 0.762479i | \(-0.276018\pi\) |
0.132075 | + | 0.991240i | \(0.457836\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 19.9040 | + | 22.9705i | 1.05640 | + | 1.21915i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.06648 | − | 3.53891i | 0.162295 | − | 0.187299i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.91575 | − | 0.856143i | 0.153888 | − | 0.0451855i | −0.203881 | − | 0.978996i | \(-0.565356\pi\) |
0.357769 | + | 0.933810i | \(0.383538\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.98651 | − | 2.93230i | 0.525606 | − | 0.154332i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −5.04545 | + | 11.0480i | −0.264817 | + | 0.579869i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.35679 | −0.175703 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 23.2388 | − | 26.8190i | 1.21305 | − | 1.39994i | 0.321570 | − | 0.946886i | \(-0.395790\pi\) |
0.891484 | − | 0.453052i | \(-0.149665\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.709399 | − | 4.93398i | −0.0369299 | − | 0.256853i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.40441 | + | 16.2134i | −0.384418 | + | 0.841757i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.9975 | 0.621208 | 0.310604 | − | 0.950539i | \(-0.399469\pi\) | ||||
0.310604 | + | 0.950539i | \(0.399469\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.28826 | − | 0.827915i | 0.0665255 | − | 0.0427534i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.11616 | − | 4.63374i | −0.108988 | − | 0.238650i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.01398 | − | 4.63237i | −0.206184 | − | 0.237949i | 0.643234 | − | 0.765670i | \(-0.277592\pi\) |
−0.849418 | + | 0.527721i | \(0.823047\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −14.3397 | + | 9.21556i | −0.734645 | + | 0.472128i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.01495 | − | 14.0143i | −0.102959 | − | 0.716098i | −0.974273 | − | 0.225371i | \(-0.927640\pi\) |
0.871314 | − | 0.490727i | \(-0.163269\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.0961 | − | 5.31349i | 0.922261 | − | 0.270800i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.52388 | + | 10.5988i | 0.0774633 | + | 0.538769i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 5.25897 | + | 11.5155i | 0.266640 | + | 0.583861i | 0.994835 | − | 0.101510i | \(-0.0323674\pi\) |
−0.728194 | + | 0.685371i | \(0.759640\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.42045 | − | 5.41150i | −0.425841 | − | 0.273671i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.68150 | − | 11.6951i | 0.0848204 | − | 0.589939i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −1.73393 | + | 12.0597i | −0.0872434 | + | 0.606791i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.8115 | + | 8.23348i | 0.642993 | + | 0.413227i | 0.821100 | − | 0.570785i | \(-0.193361\pi\) |
−0.178107 | + | 0.984011i | \(0.556997\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.44099 | + | 2.81705i | 0.122202 | + | 0.141029i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 24.5289 | 1.22492 | 0.612458 | − | 0.790503i | \(-0.290181\pi\) | ||||
0.612458 | + | 0.790503i | \(0.290181\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 23.4815 | 1.16970 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.01876 | − | 2.32977i | −0.100313 | − | 0.115767i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −30.7308 | − | 19.7495i | −1.52327 | − | 0.978947i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.43426 | + | 37.7961i | −0.268707 | + | 1.86890i | 0.192072 | + | 0.981381i | \(0.438479\pi\) |
−0.460778 | + | 0.887515i | \(0.652430\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.25639 | − | 22.6487i | 0.160626 | − | 1.11718i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.95617 | + | 2.54248i | 0.194671 | + | 0.125107i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.30905 | − | 16.0046i | −0.358787 | − | 0.785634i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 1.21827 | + | 8.47328i | 0.0596591 | + | 0.414938i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 27.2080 | − | 7.98899i | 1.32920 | − | 0.390288i | 0.461395 | − | 0.887195i | \(-0.347349\pi\) |
0.867804 | + | 0.496907i | \(0.165531\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.22583 | + | 29.3913i | 0.205954 | + | 1.43244i | 0.786185 | + | 0.617991i | \(0.212053\pi\) |
−0.580231 | + | 0.814452i | \(0.697038\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.541392 | − | 0.347931i | 0.0263234 | − | 0.0169170i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 10.8591 | + | 12.5321i | 0.526743 | + | 0.607894i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.226644 | + | 0.496281i | 0.0109681 | + | 0.0240167i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 19.8000 | − | 12.7247i | 0.955954 | − | 0.614354i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6.47892 | 0.312079 | 0.156039 | − | 0.987751i | \(-0.450127\pi\) | ||||
0.156039 | + | 0.987751i | \(0.450127\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.39442 | + | 5.24305i | −0.115069 | + | 0.251965i | −0.958400 | − | 0.285429i | \(-0.907864\pi\) |
0.843331 | + | 0.537394i | \(0.180591\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.456822 | + | 3.17727i | 0.0219030 | + | 0.152338i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.21775 | − | 6.02160i | 0.249599 | − | 0.288052i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.65641 | −0.222238 | −0.111119 | − | 0.993807i | \(-0.535444\pi\) | ||||
−0.111119 | + | 0.993807i | \(0.535444\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.23612 | + | 4.89643i | −0.106482 | + | 0.233163i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 8.51652 | − | 2.50068i | 0.404632 | − | 0.118811i | −0.0730823 | − | 0.997326i | \(-0.523284\pi\) |
0.477714 | + | 0.878515i | \(0.341465\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 38.0570 | − | 11.1745i | 1.80408 | − | 0.529724i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 7.48273 | − | 8.63553i | 0.353921 | − | 0.408446i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −17.9050 | − | 20.6634i | −0.844987 | − | 0.975167i | 0.154932 | − | 0.987925i | \(-0.450484\pi\) |
−0.999919 | + | 0.0127581i | \(0.995939\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −23.0100 | − | 6.75634i | −1.08350 | − | 0.318144i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −8.83623 | − | 5.67870i | −0.415162 | − | 0.266809i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −18.4016 | − | 5.40319i | −0.862680 | − | 0.253306i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.62141 | + | 21.0680i | 0.450071 | + | 0.985517i | 0.989639 | + | 0.143576i | \(0.0458601\pi\) |
−0.539569 | + | 0.841942i | \(0.681413\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.41139 | + | 2.78289i | −0.112554 | + | 0.129894i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.96332 | + | 10.8681i | −0.231165 | + | 0.506180i | −0.989296 | − | 0.145922i | \(-0.953385\pi\) |
0.758131 | + | 0.652102i | \(0.226113\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 32.4444 | − | 20.8508i | 1.50782 | − | 0.969018i | 0.514028 | − | 0.857773i | \(-0.328153\pi\) |
0.993793 | − | 0.111245i | \(-0.0354837\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −14.1971 | − | 4.16864i | −0.658374 | − | 0.193316i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.19324 | + | 36.1198i | −0.240315 | + | 1.67142i | 0.410250 | + | 0.911973i | \(0.365442\pi\) |
−0.650564 | + | 0.759451i | \(0.725468\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.85070 | + | 7.83682i | 0.316336 | + | 0.361871i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.34913 | − | 16.3386i | 0.108242 | − | 0.752843i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 49.4285 | + | 14.5135i | 2.27272 | + | 0.667332i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.1044 | + | 7.13639i | −0.509507 | + | 0.327440i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.82261 | − | 12.7497i | 0.266599 | − | 0.583770i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −22.2276 | + | 25.6520i | −1.01560 | + | 1.17207i | −0.0305996 | + | 0.999532i | \(0.509742\pi\) |
−0.985003 | + | 0.172536i | \(0.944804\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 15.4312 | + | 33.7897i | 0.703603 | + | 1.54068i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −3.31669 | − | 0.973867i | −0.150914 | − | 0.0443125i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −13.1437 | − | 8.44694i | −0.596824 | − | 0.383556i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −24.6310 | − | 7.23233i | −1.11614 | − | 0.327728i | −0.328893 | − | 0.944367i | \(-0.606676\pi\) |
−0.787246 | + | 0.616639i | \(0.788494\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −15.6479 | − | 18.0586i | −0.707621 | − | 0.816638i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −9.24794 | + | 10.6727i | −0.417354 | + | 0.481652i | −0.925029 | − | 0.379897i | \(-0.875960\pi\) |
0.507675 | + | 0.861549i | \(0.330505\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.67893 | − | 1.08023i | 0.165691 | − | 0.0486512i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −14.2302 | + | 4.17837i | −0.639601 | + | 0.187804i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.20848 | − | 11.4050i | 0.233632 | − | 0.511584i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 40.7494 | 1.82419 | 0.912096 | − | 0.409977i | \(-0.134463\pi\) | ||||
0.912096 | + | 0.409977i | \(0.134463\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.514582 | + | 0.593859i | −0.0229898 | + | 0.0265317i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.37212 | + | 16.4985i | 0.105768 | + | 0.735631i | 0.971828 | + | 0.235691i | \(0.0757354\pi\) |
−0.866060 | + | 0.499940i | \(0.833355\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.5386 | + | 31.8351i | −0.646958 | + | 1.41664i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −10.9337 | −0.485582 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 11.1243 | − | 7.14915i | 0.493076 | − | 0.316880i | −0.270366 | − | 0.962758i | \(-0.587145\pi\) |
0.763441 | + | 0.645877i | \(0.223508\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.575233 | + | 1.25958i | 0.0254468 | + | 0.0557207i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.91952 | − | 2.21525i | −0.0847490 | − | 0.0978055i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 24.9156 | − | 16.0123i | 1.09791 | − | 0.705586i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.440625 | − | 3.06461i | −0.0193787 | − | 0.134781i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 9.93002 | − | 2.91572i | 0.435880 | − | 0.127986i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.40923 | + | 37.6220i | 0.236983 | + | 1.64825i | 0.666728 | + | 0.745301i | \(0.267694\pi\) |
−0.429745 | + | 0.902950i | \(0.641397\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.04096 | + | 11.0382i | 0.220426 | + | 0.482665i | 0.987247 | − | 0.159196i | \(-0.0508901\pi\) |
−0.766821 | + | 0.641861i | \(0.778163\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.81754 | + | 3.09604i | 0.210255 | + | 0.135122i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −2.51530 | + | 17.4943i | −0.109568 | + | 0.762064i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.22169 | − | 15.4522i | 0.0965953 | − | 0.671835i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.11102 | − | 1.99933i | −0.135007 | − | 0.0867635i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 15.9696 | + | 18.4299i | 0.691721 | + | 0.798288i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.15265 | 0.266002 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −4.93694 | −0.213045 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 16.9589 | + | 19.5716i | 0.730470 | + | 0.843007i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.11613 | − | 1.35995i | −0.0909795 | − | 0.0584690i | 0.494360 | − | 0.869257i | \(-0.335402\pi\) |
−0.585340 | + | 0.810788i | \(0.699039\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 1.69085 | − | 11.7602i | 0.0725615 | − | 0.504677i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 6.73551 | − | 46.8465i | 0.288518 | − | 2.00668i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.88371 | + | 6.35187i | 0.422597 | + | 0.271586i | 0.734608 | − | 0.678492i | \(-0.237366\pi\) |
−0.312011 | + | 0.950078i | \(0.601003\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.178226 | − | 0.390261i | −0.00760651 | − | 0.0166559i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.434366 | + | 3.02108i | 0.0185046 | + | 0.128702i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.82236 | − | 1.41597i | 0.205067 | − | 0.0602132i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.33119 | − | 23.1689i | −0.141401 | − | 0.983467i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.00543 | − | 1.28881i | 0.0849730 | − | 0.0546088i | −0.497464 | − | 0.867484i | \(-0.665735\pi\) |
0.582437 | + | 0.812876i | \(0.302099\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −34.3048 | − | 39.5899i | −1.45094 | − | 1.67447i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 7.35927 | + | 16.1146i | 0.310709 | + | 0.680357i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −8.96275 | + | 5.76001i | −0.377735 | + | 0.242756i | −0.715707 | − | 0.698401i | \(-0.753895\pi\) |
0.337972 | + | 0.941156i | \(0.390259\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 38.1653 | 1.60562 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.528269 | + | 1.15675i | −0.0221852 | + | 0.0485788i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.18735 | − | 15.2134i | −0.0916986 | − | 0.637778i | −0.982896 | − | 0.184162i | \(-0.941043\pi\) |
0.891197 | − | 0.453616i | \(-0.149866\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.60634 | + | 1.85382i | −0.0672233 | + | 0.0775799i | −0.788365 | − | 0.615208i | \(-0.789072\pi\) |
0.721142 | + | 0.692788i | \(0.243618\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −13.3166 | −0.556308 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 5.08508 | − | 11.1348i | 0.212063 | − | 0.464352i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −43.6503 | + | 12.8169i | −1.81719 | + | 0.533574i | −0.999135 | − | 0.0415724i | \(-0.986763\pi\) |
−0.818051 | + | 0.575146i | \(0.804945\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.72145 | − | 0.505464i | 0.0715411 | − | 0.0210064i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.75296 | + | 5.48521i | −0.197186 | + | 0.227565i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −44.1589 | − | 50.9621i | −1.82887 | − | 2.11063i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 14.4705 | + | 4.24891i | 0.598280 | + | 0.175671i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 14.3865 | + | 9.24563i | 0.593794 | + | 0.381608i | 0.802749 | − | 0.596317i | \(-0.203370\pi\) |
−0.208955 | + | 0.977925i | \(0.567006\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.4992 | − | 3.96372i | −0.556224 | − | 0.163322i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.910401 | + | 1.99350i | 0.0374489 | + | 0.0820016i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.52838 | − | 4.07196i | 0.144893 | − | 0.167216i | −0.678664 | − | 0.734449i | \(-0.737441\pi\) |
0.823557 | + | 0.567233i | \(0.191986\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.99666 | − | 13.1309i | 0.245839 | − | 0.538313i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −1.63836 | + | 1.05291i | −0.0670537 | + | 0.0430928i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −21.7579 | − | 6.38868i | −0.889002 | − | 0.261035i | −0.194824 | − | 0.980838i | \(-0.562414\pi\) |
−0.694178 | + | 0.719804i | \(0.744232\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.39915 | + | 16.6864i | −0.0978632 | + | 0.680653i | 0.880544 | + | 0.473965i | \(0.157178\pi\) |
−0.978407 | + | 0.206688i | \(0.933731\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.38719 | − | 6.16265i | −0.219383 | − | 0.250962i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.32849 | + | 37.0604i | −0.216634 | + | 1.50672i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −35.1356 | − | 10.3167i | −1.42611 | − | 0.418743i | −0.524542 | − | 0.851384i | \(-0.675764\pi\) |
−0.901566 | + | 0.432641i | \(0.857582\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1.11394 | − | 0.715884i | 0.0451390 | − | 0.0290091i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.30789 | + | 2.86388i | −0.0529116 | + | 0.115860i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.5183 | + | 27.1416i | −0.949895 | + | 1.09624i | 0.0453636 | + | 0.998971i | \(0.485555\pi\) |
−0.995258 | + | 0.0972665i | \(0.968990\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.38350 | − | 13.9779i | −0.257408 | − | 0.563644i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −15.6019 | − | 4.58113i | −0.628109 | − | 0.184429i | −0.0478407 | − | 0.998855i | \(-0.515234\pi\) |
−0.580268 | + | 0.814426i | \(0.697052\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.4566 | − | 14.4319i | −0.902605 | − | 0.580069i | 0.00495671 | − | 0.999988i | \(-0.498422\pi\) |
−0.907562 | + | 0.419919i | \(0.862059\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.60814 | + | 0.765820i | 0.104661 | + | 0.0307313i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −10.7147 | − | 12.3654i | −0.429274 | − | 0.495408i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 17.8364 | − | 20.5844i | 0.713458 | − | 0.823374i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −13.5307 | + | 3.97297i | −0.540364 | + | 0.158665i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −26.8271 | + | 7.87715i | −1.06967 | + | 0.314083i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.12104 | + | 15.5929i | −0.283484 | + | 0.620744i | −0.996786 | − | 0.0801133i | \(-0.974472\pi\) |
0.713301 | + | 0.700857i | \(0.247199\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 22.1472 | 0.880271 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −34.4111 | + | 39.7125i | −1.36556 | + | 1.57594i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.74773 | − | 26.0661i | −0.148491 | − | 1.03277i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.09580 | + | 8.96855i | −0.162027 | + | 0.354790i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −24.9820 | −0.986730 | −0.493365 | − | 0.869823i | \(-0.664233\pi\) | ||||
−0.493365 | + | 0.869823i | \(0.664233\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.60332 | + | 1.67305i | −0.102665 | + | 0.0659787i | −0.590966 | − | 0.806697i | \(-0.701253\pi\) |
0.488301 | + | 0.872675i | \(0.337617\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 13.7126 | + | 30.0264i | 0.539933 | + | 1.18229i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.46857 | − | 5.15700i | −0.175678 | − | 0.202743i | 0.661081 | − | 0.750314i | \(-0.270098\pi\) |
−0.836759 | + | 0.547572i | \(0.815552\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.9671 | + | 9.61875i | −0.587508 | + | 0.377569i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.868649 | + | 6.04159i | 0.0340450 | + | 0.236788i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −31.3221 | + | 9.19699i | −1.22573 | + | 0.359906i | −0.829636 | − | 0.558305i | \(-0.811452\pi\) |
−0.396091 | + | 0.918211i | \(0.629634\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.18361 | − | 36.0528i | −0.202540 | − | 1.40870i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −0.452346 | − | 0.990500i | −0.0176477 | − | 0.0386431i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.57002 | − | 1.65165i | −0.100114 | − | 0.0643391i | 0.489626 | − | 0.871933i | \(-0.337133\pi\) |
−0.589740 | + | 0.807593i | \(0.700770\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.336948 | − | 2.34352i | 0.0131058 | − | 0.0911526i | −0.982219 | − | 0.187740i | \(-0.939884\pi\) |
0.995324 | + | 0.0965876i | \(0.0307928\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.56374 | − | 17.8312i | 0.0995673 | − | 0.692506i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 9.66674 | + | 6.21243i | 0.374860 | + | 0.240908i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.85353 | − | 2.13909i | −0.0717690 | − | 0.0828259i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 6.12230 | 0.236702 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.06406 | −0.0796823 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.44622 | − | 9.74746i | −0.325578 | − | 0.375737i | 0.569238 | − | 0.822173i | \(-0.307238\pi\) |
−0.894815 | + | 0.446436i | \(0.852693\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.78837 | − | 2.43464i | −0.145814 | − | 0.0937093i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 4.82467 | − | 33.5563i | 0.185427 | − | 1.28968i | −0.658240 | − | 0.752808i | \(-0.728699\pi\) |
0.843667 | − | 0.536867i | \(-0.180392\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.917228 | + | 6.37946i | −0.0352000 | + | 0.244821i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −15.7040 | − | 10.0924i | −0.601780 | − | 0.386740i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −14.9751 | − | 32.7909i | −0.573006 | − | 1.25471i | −0.945181 | − | 0.326546i | \(-0.894115\pi\) |
0.372175 | − | 0.928163i | \(-0.378612\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −10.0386 | − | 69.8198i | −0.383554 | − | 2.66768i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −14.5791 | + | 4.28082i | −0.556229 | + | 0.163324i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 9.75866 | + | 67.8730i | 0.371775 | + | 2.58576i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.4045 | + | 13.7558i | −0.814266 | + | 0.523297i | −0.880242 | − | 0.474524i | \(-0.842620\pi\) |
0.0659768 | + | 0.997821i | \(0.478984\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 4.00641 | + | 4.62365i | 0.152191 | + | 0.175638i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.9626 | + | 24.0047i | 0.415835 | + | 0.910551i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15.4414 | + | 9.92357i | −0.584884 | + | 0.375882i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 20.7857 | 0.786187 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.60479 | − | 5.70369i | 0.0983816 | − | 0.215426i | −0.854041 | − | 0.520205i | \(-0.825856\pi\) |
0.952423 | + | 0.304780i | \(0.0985828\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.16744 | − | 22.0300i | −0.119462 | − | 0.830877i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.29918 | − | 1.49934i | 0.0489300 | − | 0.0564682i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 14.4370 | 0.542959 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.2067 | − | 33.2979i | 0.571098 | − | 1.25053i | −0.375113 | − | 0.926979i | \(-0.622396\pi\) |
0.946211 | − | 0.323551i | \(-0.104877\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −3.79216 | + | 1.11348i | −0.142217 | + | 0.0417587i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 12.5185 | − | 3.67577i | 0.468822 | − | 0.137659i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 47.5142 | − | 54.8343i | 1.77693 | − | 2.05069i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 9.63678 | + | 11.1214i | 0.359892 | + | 0.415338i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −17.9803 | − | 5.27949i | −0.670552 | − | 0.196892i | −0.0713030 | − | 0.997455i | \(-0.522716\pi\) |
−0.599249 | + | 0.800563i | \(0.704534\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −10.2780 | − | 6.60527i | −0.382773 | − | 0.245993i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 9.21621 | + | 2.70612i | 0.342755 | + | 0.100642i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.94791 | + | 4.26533i | 0.0723436 | + | 0.158410i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.1188 | − | 28.9887i | 0.931606 | − | 1.07513i | −0.0654035 | − | 0.997859i | \(-0.520833\pi\) |
0.997010 | − | 0.0772723i | \(-0.0246211\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 33.1701 | − | 21.3171i | 1.22684 | − | 0.788443i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.1942 | + | 6.51682i | 0.819763 | + | 0.240704i | 0.664614 | − | 0.747187i | \(-0.268596\pi\) |
0.155149 | + | 0.987891i | \(0.450414\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.36157 | + | 16.4250i | −0.0871076 | + | 0.605847i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −37.7357 | + | 11.2592i | −1.39001 | + | 0.414736i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.56160 | + | 38.6818i | −0.204587 | + | 1.42293i | 0.585865 | + | 0.810409i | \(0.300755\pi\) |
−0.790452 | + | 0.612524i | \(0.790154\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 13.7591 | + | 4.04004i | 0.505454 | + | 0.148415i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 29.5955 | − | 19.0199i | 1.08575 | − | 0.697771i | 0.129874 | − | 0.991531i | \(-0.458543\pi\) |
0.955879 | + | 0.293760i | \(0.0949065\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 14.6329 | − | 32.0415i | 0.536106 | − | 1.17391i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.73759 | − | 4.31341i | 0.136751 | − | 0.157819i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1.05434 | − | 2.30868i | −0.0385248 | − | 0.0843575i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.3387 | − | 3.91658i | −0.486735 | − | 0.142918i | 0.0291521 | − | 0.999575i | \(-0.490719\pi\) |
−0.515887 | + | 0.856657i | \(0.672537\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 15.4188 | + | 9.90907i | 0.561893 | + | 0.361107i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −31.0683 | − | 9.12248i | −1.13069 | − | 0.332001i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 26.9948 | + | 31.1536i | 0.981142 | + | 1.13230i | 0.991203 | + | 0.132348i | \(0.0422518\pi\) |
−0.0100617 | + | 0.999949i | \(0.503203\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 8.56392 | − | 9.88329i | 0.310851 | − | 0.358741i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 44.2559 | − | 12.9947i | 1.60428 | − | 0.471058i | 0.647544 | − | 0.762028i | \(-0.275796\pi\) |
0.956732 | + | 0.290970i | \(0.0939779\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.7326 | + | 5.50040i | −0.678167 | + | 0.199128i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.71560 | + | 10.3257i | −0.170493 | + | 0.373327i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 18.0917 | 0.653255 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.6397 | − | 24.9735i | 0.780347 | − | 0.900569i | −0.216787 | − | 0.976219i | \(-0.569558\pi\) |
0.997134 | + | 0.0756500i | \(0.0241032\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 2.41740 | + | 16.8134i | 0.0870604 | + | 0.605519i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.726752 | − | 1.59136i | 0.0261394 | − | 0.0572374i | −0.896112 | − | 0.443828i | \(-0.853620\pi\) |
0.922251 | + | 0.386591i | \(0.126347\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.6146 | −0.776419 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −8.12294 | + | 5.22030i | −0.291409 | + | 0.187277i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −6.06970 | − | 13.2908i | −0.217469 | − | 0.476192i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.0627 | + | 35.8483i | 1.11151 | + | 1.28275i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.875968 | + | 0.562950i | −0.0313045 | + | 0.0201182i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.24176 | − | 50.3675i | −0.258469 | − | 1.79769i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.18289 | + | 0.640954i | −0.0778115 | + | 0.0228475i | −0.320407 | − | 0.947280i | \(-0.603820\pi\) |
0.242595 | + | 0.970128i | \(0.422001\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.481953 | − | 3.35206i | −0.0171580 | − | 0.119336i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −6.54014 | − | 14.3209i | −0.232541 | − | 0.509193i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.76572 | + | 1.13476i | 0.0627024 | + | 0.0402964i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 6.14924 | − | 42.7689i | 0.218091 | − | 1.51686i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −5.25766 | + | 36.5678i | −0.186236 | + | 1.29530i | 0.655412 | + | 0.755271i | \(0.272495\pi\) |
−0.841648 | + | 0.540026i | \(0.818414\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.99356 | − | 1.28119i | −0.0705273 | − | 0.0453251i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.42570 | + | 9.72377i | 0.297707 | + | 0.343573i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.23869 | −0.184869 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.6561 | −0.375578 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −9.33193 | − | 10.7696i | −0.328500 | − | 0.379109i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 1.58564 | + | 1.01903i | 0.0557482 | + | 0.0358272i | 0.568218 | − | 0.822878i | \(-0.307633\pi\) |
−0.512470 | + | 0.858705i | \(0.671269\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.93887 | + | 48.2609i | −0.243657 | + | 1.69467i | 0.389806 | + | 0.920897i | \(0.372542\pi\) |
−0.633463 | + | 0.773773i | \(0.718367\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 2.78567 | − | 19.3747i | 0.0976976 | − | 0.679502i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −61.9682 | − | 39.8246i | −2.17065 | − | 1.39499i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 13.0385 | + | 28.5504i | 0.456160 | + | 0.998850i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.885376 | − | 6.15792i | −0.0309375 | − | 0.215175i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 38.6539 | − | 11.3498i | 1.34903 | − | 0.396111i | 0.474148 | − | 0.880445i | \(-0.342756\pi\) |
0.874883 | + | 0.484334i | \(0.160938\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.64560 | + | 39.2660i | 0.196793 | + | 1.36873i | 0.813514 | + | 0.581545i | \(0.197551\pi\) |
−0.616721 | + | 0.787182i | \(0.711539\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −18.2258 | + | 11.7130i | −0.634541 | + | 0.407795i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 5.34097 | + | 6.16381i | 0.185724 | + | 0.214337i | 0.840974 | − | 0.541075i | \(-0.181982\pi\) |
−0.655251 | + | 0.755411i | \(0.727437\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.1507 | − | 24.4167i | −0.387280 | − | 0.848026i | −0.998403 | − | 0.0564899i | \(-0.982009\pi\) |
0.611123 | − | 0.791536i | \(-0.290718\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.8081 | + | 8.87390i | −0.478996 | + | 0.307832i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 19.8213 | 0.686768 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.00629 | + | 2.20347i | −0.0348242 | + | 0.0762543i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −0.683080 | − | 4.75093i | −0.0236107 | − | 0.164216i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −35.5876 | + | 41.0703i | −1.22862 | + | 1.41790i | −0.352502 | + | 0.935811i | \(0.614669\pi\) |
−0.876120 | + | 0.482093i | \(0.839877\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −27.9158 | −0.962613 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 9.90941 | − | 21.6986i | 0.341298 | − | 0.747339i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −32.3403 | + | 9.49598i | −1.11254 | + | 0.326672i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.8195 | − | 4.35138i | 0.509202 | − | 0.149515i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −7.33805 | + | 8.46856i | −0.251841 | + | 0.290640i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.5161 | + | 15.5984i | 0.463327 | + | 0.534708i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −38.1292 | − | 11.1957i | −1.30552 | − | 0.383335i | −0.446272 | − | 0.894897i | \(-0.647249\pi\) |
−0.859246 | + | 0.511563i | \(0.829067\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.60164 | − | 4.88528i | −0.259970 | − | 0.167073i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 55.4586 | + | 16.2841i | 1.89443 | + | 0.556255i | 0.992141 | + | 0.125124i | \(0.0399327\pi\) |
0.902289 | + | 0.431131i | \(0.141885\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.8610 | + | 25.9721i | 0.404693 | + | 0.886155i | 0.996773 | + | 0.0802753i | \(0.0255799\pi\) |
−0.592079 | + | 0.805880i | \(0.701693\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.15109 | + | 4.79061i | −0.141469 | + | 0.163264i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.9414 | − | 32.7171i | 0.508611 | − | 1.11370i | −0.464963 | − | 0.885330i | \(-0.653933\pi\) |
0.973574 | − | 0.228372i | \(-0.0733402\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 26.8393 | − | 17.2486i | 0.912564 | − | 0.586469i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −3.30133 | − | 0.969357i | −0.112119 | − | 0.0329211i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.70601 | + | 18.8207i | −0.0917950 | + | 0.638448i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 38.4712 | + | 11.1142i | 1.30355 | + | 0.376590i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.721281 | − | 5.01662i | 0.0244117 | − | 0.169787i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.86849 | − | 0.548639i | −0.0631666 | − | 0.0185474i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −26.9014 | + | 17.2885i | −0.908396 | + | 0.583791i | −0.909269 | − | 0.416209i | \(-0.863359\pi\) |
0.000872724 | 1.00000i | \(0.499722\pi\) | ||||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −0.510917 | + | 1.11875i | −0.0172328 | + | 0.0377346i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −31.8395 | + | 36.7448i | −1.07270 | + | 1.23796i | −0.102739 | + | 0.994708i | \(0.532761\pi\) |
−0.969962 | + | 0.243255i | \(0.921785\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.4067 | − | 49.0638i | −0.754045 | − | 1.65113i | −0.758958 | − | 0.651140i | \(-0.774291\pi\) |
0.00491281 | − | 0.999988i | \(-0.498436\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −10.9384 | − | 3.21180i | −0.367690 | − | 0.107964i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −12.1550 | − | 7.81157i | −0.408126 | − | 0.262287i | 0.320431 | − | 0.947272i | \(-0.396172\pi\) |
−0.728557 | + | 0.684985i | \(0.759809\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 20.7983 | + | 6.10693i | 0.697552 | + | 0.204820i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.15052 | − | 3.63590i | −0.105547 | − | 0.121807i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1.23532 | − | 1.42563i | 0.0413383 | − | 0.0477069i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −14.6028 | + | 4.28777i | −0.488118 | + | 0.143324i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −12.7596 | + | 3.74655i | −0.426030 | + | 0.125094i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −2.07618 | + | 4.54620i | −0.0692444 | + | 0.151624i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −51.6124 | −1.71946 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 8.91709 | − | 10.2909i | 0.296742 | − | 0.342459i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.21245 | − | 36.2534i | −0.173268 | − | 1.20510i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.4916 | + | 33.9218i | −0.514389 | + | 1.12635i | 0.457132 | + | 0.889399i | \(0.348877\pi\) |
−0.971520 | + | 0.236956i | \(0.923850\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −11.3528 | −0.376549 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 29.8283 | − | 19.1695i | 0.988255 | − | 0.635113i | 0.0565771 | − | 0.998398i | \(-0.481981\pi\) |
0.931678 | + | 0.363285i | \(0.118345\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −11.4067 | − | 24.9771i | −0.377505 | − | 0.826622i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.866112 | − | 0.999547i | −0.0286328 | − | 0.0330440i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.6400 | + | 8.12321i | −0.417408 | + | 0.268252i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −0.783313 | − | 5.44806i | −0.0258391 | − | 0.179715i | 0.972815 | − | 0.231585i | \(-0.0743910\pi\) |
−0.998654 | + | 0.0518697i | \(0.983482\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.03929 | − | 0.892416i | 0.100148 | − | 0.0294061i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.86454 | − | 47.7439i | −0.225949 | − | 1.57151i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.2044 | − | 31.1032i | −0.467036 | − | 1.02267i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 8.08231 | + | 5.19419i | 0.265458 | + | 0.170600i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 5.29260 | − | 36.8108i | 0.173644 | − | 1.20772i | −0.697459 | − | 0.716624i | \(-0.745686\pi\) |
0.871104 | − | 0.491099i | \(-0.163405\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.24547 | + | 15.6176i | −0.0735925 | + | 0.511847i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1.48482 | − | 0.954235i | −0.0486108 | − | 0.0312403i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 35.7633 | + | 41.2730i | 1.16958 | + | 1.34977i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −18.6089 | −0.607926 | −0.303963 | − | 0.952684i | \(-0.598310\pi\) | ||||
−0.303963 | + | 0.952684i | \(0.598310\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −22.1495 | −0.722820 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.28343 | − | 7.25147i | −0.204834 | − | 0.236391i | 0.644033 | − | 0.764998i | \(-0.277260\pi\) |
−0.848867 | + | 0.528607i | \(0.822715\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.3988 | + | 7.32554i | 0.371195 | + | 0.238552i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.557903 | + | 3.88030i | −0.0181486 | + | 0.126226i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 0.0851825 | − | 0.592457i | 0.00276806 | − | 0.0192523i | −0.988391 | − | 0.151934i | \(-0.951450\pi\) |
0.991159 | + | 0.132682i | \(0.0423589\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.48147 | + | 2.88006i | 0.145475 | + | 0.0934908i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 7.77964 | + | 17.0350i | 0.252272 | + | 0.552399i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.42290 | − | 9.89646i | −0.0460921 | − | 0.320578i | −0.999803 | − | 0.0198525i | \(-0.993680\pi\) |
0.953711 | − | 0.300725i | \(-0.0972288\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −39.3886 | + | 11.5655i | −1.27458 | + | 0.374252i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.712927 | + | 4.95852i | 0.0230457 | + | 0.160286i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −24.4785 | + | 15.7314i | −0.790453 | + | 0.507993i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.21407 | + | 6.01736i | 0.168196 | + | 0.194108i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.829103 | + | 1.81548i | 0.0267175 | + | 0.0585031i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 4.65282 | − | 2.99018i | 0.149780 | − | 0.0962575i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 57.2815 | 1.84205 | 0.921024 | − | 0.389505i | \(-0.127354\pi\) | ||||
0.921024 | + | 0.389505i | \(0.127354\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −4.48379 | + | 9.81813i | −0.144040 | + | 0.315404i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.16890 | − | 8.12990i | −0.0375119 | − | 0.260901i | 0.962432 | − | 0.271524i | \(-0.0875276\pi\) |
−0.999944 | + | 0.0106230i | \(0.996619\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.12880 | − | 8.22708i | 0.228539 | − | 0.263748i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 22.0308 | 0.705551 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 5.02986 | − | 11.0139i | 0.160919 | − | 0.352364i | −0.811947 | − | 0.583731i | \(-0.801592\pi\) |
0.972867 | + | 0.231366i | \(0.0743196\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 59.3926 | − | 17.4392i | 1.89820 | − | 0.557361i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 14.7308 | − | 4.32535i | 0.470318 | − | 0.138098i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 35.9893 | − | 41.5338i | 1.14788 | − | 1.32472i | 0.210025 | − | 0.977696i | \(-0.432646\pi\) |
0.937855 | − | 0.347028i | \(-0.112809\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 4.42421 | + | 5.10581i | 0.140967 | + | 0.162685i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.785234 | − | 0.230566i | −0.0249943 | − | 0.00733899i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −24.4860 | − | 15.7362i | −0.778610 | − | 0.500382i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 43.4428 | + | 12.7559i | 1.38000 | + | 0.405206i | 0.885771 | − | 0.464123i | \(-0.153630\pi\) |
0.494234 | + | 0.869329i | \(0.335449\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −7.26018 | − | 15.8976i | −0.230395 | − | 0.504494i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.93159 | + | 4.53729i | −0.124640 | + | 0.143842i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −19.9331 | + | 43.6475i | −0.631289 | + | 1.38233i | 0.275728 | + | 0.961236i | \(0.411081\pi\) |
−0.907017 | + | 0.421094i | \(0.861646\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 6.38764 | − | 4.10509i | 0.202096 | − | 0.129879i |
(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 | 804.2.q.b.193.6 | yes | 60 | |
67.25 | even | 11 | inner | 804.2.q.b.25.6 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.b.25.6 | ✓ | 60 | 67.25 | even | 11 | inner | |
804.2.q.b.193.6 | yes | 60 | 1.1 | even | 1 | trivial |