Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(37,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bb (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 37.6 | ||
Character | \(\chi\) | \(=\) | 441.37 |
Dual form | 441.2.bb.f.298.6 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{16}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.14208 | − | 1.46044i | 1.51468 | − | 1.03269i | 0.532134 | − | 0.846660i | \(-0.321390\pi\) |
0.982544 | − | 0.186029i | \(-0.0595620\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.72492 | − | 4.39502i | 0.862459 | − | 2.19751i | ||||
\(5\) | −0.478860 | − | 0.147709i | −0.214153 | − | 0.0660574i | 0.185822 | − | 0.982583i | \(-0.440505\pi\) |
−0.399975 | + | 0.916526i | \(0.630981\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.61928 | − | 2.09235i | −0.612028 | − | 0.790836i | ||||
\(8\) | −1.56997 | − | 6.87850i | −0.555069 | − | 2.43192i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.24148 | + | 0.382945i | −0.392589 | + | 0.121098i | ||||
\(11\) | 0.0946027 | + | 1.26239i | 0.0285238 | + | 0.380623i | 0.993137 | + | 0.116955i | \(0.0373134\pi\) |
−0.964613 | + | 0.263668i | \(0.915068\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.903002 | + | 0.434863i | 0.250448 | + | 0.120609i | 0.554896 | − | 0.831919i | \(-0.312758\pi\) |
−0.304449 | + | 0.952529i | \(0.598472\pi\) | |||||||
\(14\) | −6.52438 | − | 2.11713i | −1.74371 | − | 0.565826i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −6.48661 | − | 6.01869i | −1.62165 | − | 1.50467i | ||||
\(17\) | 5.00923 | + | 0.755020i | 1.21492 | + | 0.183119i | 0.725061 | − | 0.688685i | \(-0.241812\pi\) |
0.489855 | + | 0.871804i | \(0.337050\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.61750 | + | 4.53365i | −0.600496 | + | 1.04009i | 0.392250 | + | 0.919859i | \(0.371697\pi\) |
−0.992746 | + | 0.120231i | \(0.961636\pi\) | |||||||
\(20\) | −1.47518 | + | 1.84982i | −0.329860 | + | 0.413631i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.04629 | + | 2.56597i | 0.436270 | + | 0.547066i | ||||
\(23\) | 6.24943 | − | 0.941950i | 1.30310 | − | 0.196410i | 0.539435 | − | 0.842028i | \(-0.318638\pi\) |
0.763661 | + | 0.645617i | \(0.223400\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.92370 | − | 2.67514i | −0.784741 | − | 0.535027i | ||||
\(26\) | 2.56939 | − | 0.387274i | 0.503900 | − | 0.0759506i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −11.9891 | + | 3.50761i | −2.26572 | + | 0.662875i | ||||
\(29\) | 2.11330 | − | 2.64999i | 0.392430 | − | 0.492092i | −0.545891 | − | 0.837856i | \(-0.683809\pi\) |
0.938321 | + | 0.345764i | \(0.112380\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.27011 | + | 5.66400i | 0.587329 | + | 1.01728i | 0.994581 | + | 0.103968i | \(0.0331540\pi\) |
−0.407251 | + | 0.913316i | \(0.633513\pi\) | |||||||
\(32\) | −8.73161 | − | 1.31608i | −1.54355 | − | 0.232652i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 11.8328 | − | 5.69839i | 2.02931 | − | 0.977265i | ||||
\(35\) | 0.466347 | + | 1.24113i | 0.0788271 | + | 0.209789i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.23703 | − | 8.24781i | −0.532164 | − | 1.35593i | −0.903960 | − | 0.427617i | \(-0.859353\pi\) |
0.371796 | − | 0.928315i | \(-0.378742\pi\) | |||||||
\(38\) | 1.01424 | + | 13.5341i | 0.164532 | + | 2.19553i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.264218 | + | 3.52574i | −0.0417765 | + | 0.557468i | ||||
\(41\) | 2.41122 | + | 10.5643i | 0.376570 | + | 1.64986i | 0.707875 | + | 0.706337i | \(0.249654\pi\) |
−0.331305 | + | 0.943524i | \(0.607489\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.774658 | + | 3.39400i | −0.118134 | + | 0.517580i | 0.880886 | + | 0.473328i | \(0.156948\pi\) |
−0.999020 | + | 0.0442518i | \(0.985910\pi\) | |||||||
\(44\) | 5.71139 | + | 1.76173i | 0.861025 | + | 0.265591i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 12.0111 | − | 11.1447i | 1.77094 | − | 1.64319i | ||||
\(47\) | 1.03733 | − | 0.707237i | 0.151310 | − | 0.103161i | −0.485299 | − | 0.874348i | \(-0.661289\pi\) |
0.636608 | + | 0.771187i | \(0.280337\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.75590 | + | 6.77620i | −0.250842 | + | 0.968028i | ||||
\(50\) | −12.3118 | −1.74115 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.46884 | − | 3.21861i | 0.481041 | − | 0.446341i | ||||
\(53\) | −0.189183 | + | 0.482029i | −0.0259862 | + | 0.0662118i | −0.943278 | − | 0.332004i | \(-0.892275\pi\) |
0.917292 | + | 0.398216i | \(0.130370\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.141164 | − | 0.618480i | 0.0190346 | − | 0.0833958i | ||||
\(56\) | −11.8500 | + | 14.4231i | −1.58353 | + | 1.92737i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.656685 | − | 8.76285i | 0.0862269 | − | 1.15062i | ||||
\(59\) | −14.3965 | + | 4.44074i | −1.87427 | + | 0.578135i | −0.879508 | + | 0.475883i | \(0.842128\pi\) |
−0.994759 | + | 0.102252i | \(0.967395\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.09099 | − | 7.87572i | −0.395761 | − | 1.00838i | −0.980387 | − | 0.197080i | \(-0.936854\pi\) |
0.584626 | − | 0.811303i | \(-0.301241\pi\) | |||||||
\(62\) | 15.2768 | + | 7.35691i | 1.94015 | + | 0.934329i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.68092 | + | 2.25421i | −0.585114 | + | 0.281776i | ||||
\(65\) | −0.368179 | − | 0.341620i | −0.0456670 | − | 0.0423727i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.83517 | + | 3.17860i | 0.224201 | + | 0.388328i | 0.956080 | − | 0.293107i | \(-0.0946893\pi\) |
−0.731878 | + | 0.681436i | \(0.761356\pi\) | |||||||
\(68\) | 11.9588 | − | 20.7133i | 1.45022 | − | 2.51186i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.81155 | + | 1.97752i | 0.336044 | + | 0.236358i | ||||
\(71\) | 6.96988 | + | 8.73996i | 0.827173 | + | 1.03724i | 0.998644 | + | 0.0520530i | \(0.0165765\pi\) |
−0.171471 | + | 0.985189i | \(0.554852\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.17593 | − | 4.21068i | −0.722838 | − | 0.492823i | 0.145149 | − | 0.989410i | \(-0.453634\pi\) |
−0.867987 | + | 0.496587i | \(0.834586\pi\) | |||||||
\(74\) | −18.9794 | − | 12.9400i | −2.20631 | − | 1.50424i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 15.4105 | + | 19.3242i | 1.76771 | + | 2.21663i | ||||
\(77\) | 2.48817 | − | 2.24209i | 0.283553 | − | 0.255510i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.29950 | + | 9.17900i | −0.596240 | + | 1.03272i | 0.397130 | + | 0.917762i | \(0.370006\pi\) |
−0.993371 | + | 0.114956i | \(0.963327\pi\) | |||||||
\(80\) | 2.21717 | + | 3.84024i | 0.247887 | + | 0.429352i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 20.5935 | + | 19.1080i | 2.27418 | + | 2.11013i | ||||
\(83\) | 13.6995 | − | 6.59732i | 1.50371 | − | 0.724150i | 0.512782 | − | 0.858519i | \(-0.328615\pi\) |
0.990931 | + | 0.134369i | \(0.0429007\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.28720 | − | 1.10146i | −0.248081 | − | 0.119470i | ||||
\(86\) | 3.29737 | + | 8.40155i | 0.355564 | + | 0.905963i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 8.53479 | − | 2.63263i | 0.909812 | − | 0.280640i | ||||
\(89\) | 0.531312 | − | 7.08986i | 0.0563189 | − | 0.751524i | −0.895539 | − | 0.444983i | \(-0.853210\pi\) |
0.951858 | − | 0.306540i | \(-0.0991714\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.552321 | − | 2.59356i | −0.0578990 | − | 0.271879i | ||||
\(92\) | 6.63987 | − | 29.0912i | 0.692254 | − | 3.03296i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.18915 | − | 3.02991i | 0.122652 | − | 0.312512i | ||||
\(95\) | 1.92308 | − | 1.78436i | 0.197304 | − | 0.183071i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.82435 | −0.794442 | −0.397221 | − | 0.917723i | \(-0.630025\pi\) | ||||
−0.397221 | + | 0.917723i | \(0.630025\pi\) | |||||||
\(98\) | 6.13499 | + | 17.0795i | 0.619727 | + | 1.72529i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −18.5254 | + | 12.6304i | −1.85254 | + | 1.26304i | ||||
\(101\) | −3.59164 | + | 3.33256i | −0.357382 | + | 0.331602i | −0.838346 | − | 0.545138i | \(-0.816477\pi\) |
0.480964 | + | 0.876740i | \(0.340287\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.69583 | − | 2.68231i | −0.856826 | − | 0.264296i | −0.164941 | − | 0.986303i | \(-0.552743\pi\) |
−0.691885 | + | 0.722008i | \(0.743219\pi\) | |||||||
\(104\) | 1.57352 | − | 6.89402i | 0.154296 | − | 0.676014i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.298733 | + | 1.30883i | 0.0290155 | + | 0.127125i | ||||
\(107\) | 0.305692 | − | 4.07918i | 0.0295524 | − | 0.394349i | −0.962740 | − | 0.270429i | \(-0.912834\pi\) |
0.992292 | − | 0.123920i | \(-0.0395466\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.243937 | + | 3.25512i | 0.0233649 | + | 0.311784i | 0.996626 | + | 0.0820805i | \(0.0261565\pi\) |
−0.973261 | + | 0.229703i | \(0.926225\pi\) | |||||||
\(110\) | −0.600871 | − | 1.53099i | −0.0572908 | − | 0.145975i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.08964 | + | 23.3182i | −0.197452 | + | 2.20336i | ||||
\(113\) | −17.7940 | + | 8.56912i | −1.67391 | + | 0.806115i | −0.676334 | + | 0.736595i | \(0.736432\pi\) |
−0.997581 | + | 0.0695198i | \(0.977853\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.13174 | − | 0.472033i | −0.292036 | − | 0.0440173i | ||||
\(116\) | −8.00151 | − | 13.8590i | −0.742922 | − | 1.28678i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −24.3530 | + | 30.5377i | −2.24188 | + | 2.81122i | ||||
\(119\) | −6.53155 | − | 11.7037i | −0.598746 | − | 1.07287i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 9.29247 | − | 1.40061i | 0.844770 | − | 0.127329i | ||||
\(122\) | −18.1232 | − | 12.3562i | −1.64080 | − | 1.11868i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 30.5341 | − | 4.60227i | 2.74204 | − | 0.413296i | ||||
\(125\) | 3.04599 | + | 3.81956i | 0.272442 | + | 0.341631i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.77882 | + | 2.23058i | −0.157845 | + | 0.197932i | −0.854465 | − | 0.519509i | \(-0.826115\pi\) |
0.696620 | + | 0.717440i | \(0.254686\pi\) | |||||||
\(128\) | 2.09550 | − | 3.62952i | 0.185218 | − | 0.320807i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.28758 | − | 0.194072i | −0.112929 | − | 0.0170213i | ||||
\(131\) | −10.1006 | − | 9.37199i | −0.882494 | − | 0.818835i | 0.101903 | − | 0.994794i | \(-0.467507\pi\) |
−0.984397 | + | 0.175959i | \(0.943697\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.7245 | − | 1.86448i | 1.19006 | − | 0.161671i | ||||
\(134\) | 8.57325 | + | 4.12866i | 0.740616 | + | 0.356662i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.67095 | − | 35.6413i | −0.229032 | − | 3.05622i | ||||
\(137\) | 13.2725 | − | 4.09401i | 1.13394 | − | 0.349775i | 0.329706 | − | 0.944084i | \(-0.393051\pi\) |
0.804237 | + | 0.594309i | \(0.202574\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.50077 | − | 15.3379i | −0.296932 | − | 1.30094i | −0.874670 | − | 0.484720i | \(-0.838922\pi\) |
0.577738 | − | 0.816222i | \(-0.303936\pi\) | |||||||
\(140\) | 6.25919 | + | 0.0912368i | 0.528998 | + | 0.00771092i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 27.6943 | + | 8.54255i | 2.32405 | + | 0.716874i | ||||
\(143\) | −0.463538 | + | 1.18108i | −0.0387630 | + | 0.0987665i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.40340 | + | 0.956824i | −0.116546 | + | 0.0794599i | ||||
\(146\) | −19.3788 | −1.60380 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −41.8329 | −3.43865 | ||||||||
\(149\) | 10.9222 | − | 7.44663i | 0.894782 | − | 0.610052i | −0.0262003 | − | 0.999657i | \(-0.508341\pi\) |
0.920982 | + | 0.389605i | \(0.127388\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.68158 | + | 9.38050i | −0.299602 | + | 0.763375i | 0.699222 | + | 0.714904i | \(0.253530\pi\) |
−0.998825 | + | 0.0484702i | \(0.984565\pi\) | |||||||
\(152\) | 35.2941 | + | 10.8868i | 2.86273 | + | 0.883035i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.05540 | − | 8.43657i | 0.165629 | − | 0.679838i | ||||
\(155\) | −0.729304 | − | 3.19529i | −0.0585791 | − | 0.256652i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.6442 | − | 3.59175i | 0.929307 | − | 0.286653i | 0.207092 | − | 0.978322i | \(-0.433600\pi\) |
0.722215 | + | 0.691668i | \(0.243124\pi\) | |||||||
\(158\) | 2.05348 | + | 27.4018i | 0.163366 | + | 2.17997i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.98683 | + | 1.91995i | 0.315186 | + | 0.151786i | ||||
\(161\) | −12.0904 | − | 11.5507i | −0.952860 | − | 0.910326i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.0142615 | − | 0.0132327i | −0.00111704 | − | 0.00103646i | 0.679614 | − | 0.733570i | \(-0.262147\pi\) |
−0.680731 | + | 0.732533i | \(0.738338\pi\) | |||||||
\(164\) | 50.5893 | + | 7.62512i | 3.95036 | + | 0.595422i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 19.7103 | − | 34.1393i | 1.52982 | − | 2.64972i | ||||
\(167\) | −12.3035 | + | 15.4281i | −0.952073 | + | 1.19386i | 0.0288729 | + | 0.999583i | \(0.490808\pi\) |
−0.980946 | + | 0.194279i | \(0.937763\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.47906 | − | 9.37845i | −0.575312 | − | 0.721419i | ||||
\(170\) | −6.50797 | + | 0.980919i | −0.499139 | + | 0.0752330i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 13.5805 | + | 9.25901i | 1.03550 | + | 0.705993i | ||||
\(173\) | −21.1355 | + | 3.18567i | −1.60690 | + | 0.242202i | −0.890332 | − | 0.455312i | \(-0.849528\pi\) |
−0.716572 | + | 0.697513i | \(0.754290\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.756223 | + | 12.5416i | 0.0571651 | + | 0.948053i | ||||
\(176\) | 6.98426 | − | 8.75799i | 0.526458 | − | 0.660158i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.21623 | − | 15.9630i | −0.690786 | − | 1.19648i | ||||
\(179\) | 6.42268 | + | 0.968064i | 0.480054 | + | 0.0723565i | 0.384612 | − | 0.923079i | \(-0.374335\pi\) |
0.0954422 | + | 0.995435i | \(0.469573\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.2657 | − | 5.42528i | 0.837374 | − | 0.403258i | 0.0344985 | − | 0.999405i | \(-0.489017\pi\) |
0.802876 | + | 0.596147i | \(0.203302\pi\) | |||||||
\(182\) | −4.97087 | − | 4.74898i | −0.368465 | − | 0.352018i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −16.2906 | − | 41.5078i | −1.20096 | − | 3.06000i | ||||
\(185\) | 0.331809 | + | 4.42769i | 0.0243951 | + | 0.325530i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.479239 | + | 6.39500i | −0.0350454 | + | 0.467649i | ||||
\(188\) | −1.31902 | − | 5.77900i | −0.0961994 | − | 0.421477i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.51343 | − | 6.63078i | 0.109796 | − | 0.481047i | ||||
\(191\) | −2.90720 | − | 0.896752i | −0.210357 | − | 0.0648867i | 0.187786 | − | 0.982210i | \(-0.439869\pi\) |
−0.398143 | + | 0.917323i | \(0.630345\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.7409 | + | 11.8219i | −0.917112 | + | 0.850955i | −0.989219 | − | 0.146441i | \(-0.953218\pi\) |
0.0721075 | + | 0.997397i | \(0.477028\pi\) | |||||||
\(194\) | −16.7604 | + | 11.4270i | −1.20332 | + | 0.820412i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 26.7527 | + | 19.4056i | 1.91091 | + | 1.38611i | ||||
\(197\) | −5.32151 | −0.379142 | −0.189571 | − | 0.981867i | \(-0.560710\pi\) | ||||
−0.189571 | + | 0.981867i | \(0.560710\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.38131 | − | 4.99313i | 0.381471 | − | 0.353953i | −0.466010 | − | 0.884780i | \(-0.654309\pi\) |
0.847481 | + | 0.530826i | \(0.178118\pi\) | |||||||
\(200\) | −12.2408 | + | 31.1891i | −0.865556 | + | 2.20540i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.82657 | + | 12.3840i | −0.198877 | + | 0.871335i | ||||
\(203\) | −8.96674 | − | 0.130703i | −0.629342 | − | 0.00917357i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.405796 | − | 5.41497i | 0.0283420 | − | 0.378198i | ||||
\(206\) | −22.5445 | + | 6.95406i | −1.57075 | + | 0.484512i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.24012 | − | 8.25568i | −0.224662 | − | 0.572428i | ||||
\(209\) | −5.97083 | − | 2.87540i | −0.413011 | − | 0.198896i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.1249 | + | 7.28375i | −1.04124 | + | 0.501434i | −0.874732 | − | 0.484607i | \(-0.838963\pi\) |
−0.166506 | + | 0.986040i | \(0.553248\pi\) | |||||||
\(212\) | 1.79220 | + | 1.66292i | 0.123089 | + | 0.114210i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.30260 | − | 9.18437i | −0.362478 | − | 0.627830i | ||||
\(215\) | 0.872277 | − | 1.51083i | 0.0594888 | − | 0.103038i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.55589 | − | 16.0138i | 0.445043 | − | 1.08709i | ||||
\(218\) | 5.27645 | + | 6.61645i | 0.357366 | + | 0.448123i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.47474 | − | 1.68725i | −0.166847 | − | 0.113754i | ||||
\(221\) | 4.19501 | + | 2.86011i | 0.282187 | + | 0.192392i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.2978 | + | 12.9130i | 0.689589 | + | 0.864718i | 0.996198 | − | 0.0871180i | \(-0.0277657\pi\) |
−0.306609 | + | 0.951836i | \(0.599194\pi\) | |||||||
\(224\) | 11.3852 | + | 20.4007i | 0.760704 | + | 1.36308i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −25.6013 | + | 44.3428i | −1.70297 | + | 2.94964i | ||||
\(227\) | 0.874935 | + | 1.51543i | 0.0580715 | + | 0.100583i | 0.893600 | − | 0.448865i | \(-0.148172\pi\) |
−0.835528 | + | 0.549448i | \(0.814838\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.66713 | − | 3.40260i | −0.242331 | − | 0.224850i | 0.549652 | − | 0.835394i | \(-0.314760\pi\) |
−0.791982 | + | 0.610544i | \(0.790951\pi\) | |||||||
\(230\) | −7.39780 | + | 3.56259i | −0.487797 | + | 0.234911i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −21.5458 | − | 10.3759i | −1.41455 | − | 0.681212i | ||||
\(233\) | −4.43676 | − | 11.3047i | −0.290662 | − | 0.740594i | −0.999384 | − | 0.0351063i | \(-0.988823\pi\) |
0.708722 | − | 0.705488i | \(-0.249272\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.601200 | + | 0.185446i | −0.0392180 | + | 0.0120971i | ||||
\(236\) | −5.31569 | + | 70.9329i | −0.346022 | + | 4.61734i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −31.0836 | − | 15.5312i | −2.01485 | − | 1.00674i | ||||
\(239\) | −2.08550 | + | 9.13718i | −0.134900 | + | 0.591035i | 0.861611 | + | 0.507570i | \(0.169456\pi\) |
−0.996511 | + | 0.0834655i | \(0.973401\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.93785 | − | 4.93757i | 0.124828 | − | 0.318057i | −0.854775 | − | 0.518999i | \(-0.826305\pi\) |
0.979603 | + | 0.200942i | \(0.0644002\pi\) | |||||||
\(242\) | 17.8597 | − | 16.5714i | 1.14806 | − | 1.06525i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −39.9457 | −2.55726 | ||||||||
\(245\) | 1.84173 | − | 2.98549i | 0.117664 | − | 0.190736i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.33513 | + | 2.95564i | −0.275837 | + | 0.188063i | ||||
\(248\) | 33.8258 | − | 31.3858i | 2.14794 | − | 1.99300i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 12.1030 | + | 3.73328i | 0.765461 | + | 0.236113i | ||||
\(251\) | −1.01753 | + | 4.45807i | −0.0642257 | + | 0.281391i | −0.996835 | − | 0.0794961i | \(-0.974669\pi\) |
0.932610 | + | 0.360887i | \(0.117526\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.78032 | + | 7.80007i | 0.111927 | + | 0.490386i | ||||
\(254\) | −0.552750 | + | 7.37594i | −0.0346826 | + | 0.462808i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.58849 | − | 21.1969i | −0.0992803 | − | 1.32480i | ||||
\(257\) | −1.78701 | − | 4.55324i | −0.111471 | − | 0.284023i | 0.864242 | − | 0.503076i | \(-0.167798\pi\) |
−0.975713 | + | 0.219053i | \(0.929703\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.0157 | + | 20.1285i | −0.746620 | + | 1.25072i | ||||
\(260\) | −2.13651 | + | 1.02889i | −0.132500 | + | 0.0638089i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −35.3236 | − | 5.32417i | −2.18230 | − | 0.328928i | ||||
\(263\) | 5.20794 | + | 9.02042i | 0.321136 | + | 0.556223i | 0.980723 | − | 0.195405i | \(-0.0626022\pi\) |
−0.659587 | + | 0.751628i | \(0.729269\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.161792 | − | 0.202881i | 0.00993881 | − | 0.0124629i | ||||
\(266\) | 26.6759 | − | 24.0377i | 1.63560 | − | 1.47384i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 17.1356 | − | 2.58277i | 1.04672 | − | 0.157768i | ||||
\(269\) | −20.1994 | − | 13.7717i | −1.23158 | − | 0.839677i | −0.240203 | − | 0.970723i | \(-0.577214\pi\) |
−0.991376 | + | 0.131046i | \(0.958166\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.54692 | − | 1.28824i | 0.519189 | − | 0.0782551i | 0.115780 | − | 0.993275i | \(-0.463063\pi\) |
0.403409 | + | 0.915020i | \(0.367825\pi\) | |||||||
\(272\) | −27.9487 | − | 35.0465i | −1.69464 | − | 2.12501i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 22.4516 | − | 28.1534i | 1.35635 | − | 1.70081i | ||||
\(275\) | 3.00586 | − | 5.20630i | 0.181260 | − | 0.313952i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 21.9168 | + | 3.30343i | 1.31685 | + | 0.198484i | 0.769624 | − | 0.638498i | \(-0.220444\pi\) |
0.547231 | + | 0.836982i | \(0.315682\pi\) | |||||||
\(278\) | −29.8990 | − | 27.7423i | −1.79323 | − | 1.66387i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.80494 | − | 5.15630i | 0.466434 | − | 0.308148i | ||||
\(281\) | 13.1753 | + | 6.34490i | 0.785974 | + | 0.378505i | 0.783421 | − | 0.621492i | \(-0.213473\pi\) |
0.00255305 | + | 0.999997i | \(0.499187\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.979933 | + | 13.0763i | 0.0582509 | + | 0.777305i | 0.947474 | + | 0.319832i | \(0.103626\pi\) |
−0.889223 | + | 0.457473i | \(0.848755\pi\) | |||||||
\(284\) | 50.4348 | − | 15.5571i | 2.99275 | − | 0.923142i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.731960 | + | 3.20693i | 0.0432817 | + | 0.189630i | ||||
\(287\) | 18.1998 | − | 22.1516i | 1.07430 | − | 1.30757i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.27757 | + | 2.55329i | 0.486916 | + | 0.150194i | ||||
\(290\) | −1.60881 | + | 4.09918i | −0.0944726 | + | 0.240712i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −29.1590 | + | 19.8803i | −1.70640 | + | 1.16341i | ||||
\(293\) | 21.2625 | 1.24217 | 0.621083 | − | 0.783745i | \(-0.286693\pi\) | ||||
0.621083 | + | 0.783745i | \(0.286693\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.54986 | 0.439570 | ||||||||
\(296\) | −51.6505 | + | 35.2147i | −3.00213 | + | 2.04681i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 12.5208 | − | 31.9025i | 0.725312 | − | 1.84806i | ||||
\(299\) | 6.05286 | + | 1.86706i | 0.350046 | + | 0.107975i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.35583 | − | 3.87496i | 0.481622 | − | 0.223349i | ||||
\(302\) | 5.81348 | + | 25.4705i | 0.334528 | + | 1.46566i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 44.2654 | − | 13.6541i | 2.53879 | − | 0.783114i | ||||
\(305\) | 0.316840 | + | 4.22794i | 0.0181422 | + | 0.242091i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −13.1563 | − | 6.33573i | −0.750868 | − | 0.361599i | 0.0189851 | − | 0.999820i | \(-0.493956\pi\) |
−0.769854 | + | 0.638221i | \(0.779671\pi\) | |||||||
\(308\) | −5.56215 | − | 14.8030i | −0.316933 | − | 0.843478i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.22877 | − | 5.77945i | −0.353770 | − | 0.328251i | ||||
\(311\) | −21.4855 | − | 3.23841i | −1.21833 | − | 0.183634i | −0.491762 | − | 0.870729i | \(-0.663647\pi\) |
−0.726567 | + | 0.687096i | \(0.758885\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.78282 | − | 11.7482i | 0.383387 | − | 0.664046i | −0.608157 | − | 0.793817i | \(-0.708091\pi\) |
0.991544 | + | 0.129771i | \(0.0414241\pi\) | |||||||
\(314\) | 19.6972 | − | 24.6995i | 1.11158 | − | 1.39387i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 31.2007 | + | 39.1244i | 1.75518 | + | 2.20092i | ||||
\(317\) | 8.19586 | − | 1.23533i | 0.460326 | − | 0.0693829i | 0.0852142 | − | 0.996363i | \(-0.472843\pi\) |
0.375111 | + | 0.926980i | \(0.377604\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.54524 | + | 2.41710i | 0.198495 | + | 0.135332i | ||||
\(320\) | 2.57447 | − | 0.388039i | 0.143917 | − | 0.0216921i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −42.7679 | − | 7.08519i | −2.38336 | − | 0.394842i | ||||
\(323\) | −16.5347 | + | 20.7338i | −0.920013 | + | 1.15366i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.37980 | − | 4.12193i | −0.132007 | − | 0.228643i | ||||
\(326\) | −0.0498747 | − | 0.00751741i | −0.00276231 | − | 0.000416351i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 68.8807 | − | 33.1712i | 3.80330 | − | 1.83157i | ||||
\(329\) | −3.15951 | − | 1.02524i | −0.174189 | − | 0.0565235i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.7052 | − | 29.8243i | −0.643374 | − | 1.63929i | −0.762944 | − | 0.646464i | \(-0.776247\pi\) |
0.119571 | − | 0.992826i | \(-0.461848\pi\) | |||||||
\(332\) | −5.36488 | − | 71.5893i | −0.294436 | − | 3.92898i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −3.82318 | + | 51.0168i | −0.209195 | + | 2.79151i | ||||
\(335\) | −0.409281 | − | 1.79318i | −0.0223614 | − | 0.0979718i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.73597 | − | 7.60577i | 0.0945641 | − | 0.414313i | −0.905383 | − | 0.424596i | \(-0.860416\pi\) |
0.999947 | + | 0.0102833i | \(0.00327333\pi\) | |||||||
\(338\) | −29.7174 | − | 9.16661i | −1.61641 | − | 0.498598i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −8.78616 | + | 8.15236i | −0.476496 | + | 0.442124i | ||||
\(341\) | −6.84079 | + | 4.66397i | −0.370449 | + | 0.252568i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0215 | − | 7.29857i | 0.919074 | − | 0.394086i | ||||
\(344\) | 24.5618 | 1.32428 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −40.6214 | + | 37.6912i | −2.18382 | + | 2.02629i | ||||
\(347\) | −1.68856 | + | 4.30238i | −0.0906467 | + | 0.230964i | −0.969006 | − | 0.247037i | \(-0.920543\pi\) |
0.878359 | + | 0.478001i | \(0.158638\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.51083 | − | 11.0006i | 0.134401 | − | 0.588851i | −0.862207 | − | 0.506557i | \(-0.830918\pi\) |
0.996608 | − | 0.0822944i | \(-0.0262248\pi\) | |||||||
\(350\) | 19.9361 | + | 25.7606i | 1.06563 | + | 1.37696i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0.835364 | − | 11.1472i | 0.0445251 | − | 0.594146i | ||||
\(353\) | 8.26087 | − | 2.54814i | 0.439682 | − | 0.135624i | −0.0670078 | − | 0.997752i | \(-0.521345\pi\) |
0.506690 | + | 0.862129i | \(0.330869\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.04663 | − | 5.21473i | −0.108624 | − | 0.276769i | ||||
\(356\) | −30.2436 | − | 14.5646i | −1.60291 | − | 0.771920i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 15.1717 | − | 7.30630i | 0.801849 | − | 0.386150i | ||||
\(359\) | −15.3835 | − | 14.2738i | −0.811909 | − | 0.753341i | 0.160397 | − | 0.987053i | \(-0.448722\pi\) |
−0.972306 | + | 0.233711i | \(0.924913\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.20264 | − | 7.27919i | −0.221192 | − | 0.383115i | ||||
\(362\) | 16.2087 | − | 28.0743i | 0.851911 | − | 1.47555i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −12.3515 | − | 2.04622i | −0.647393 | − | 0.107251i | ||||
\(365\) | 2.33545 | + | 2.92857i | 0.122243 | + | 0.153288i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 30.2272 | + | 20.6086i | 1.57785 | + | 1.07576i | 0.956302 | + | 0.292380i | \(0.0944472\pi\) |
0.621545 | + | 0.783378i | \(0.286505\pi\) | |||||||
\(368\) | −46.2069 | − | 31.5033i | −2.40870 | − | 1.64222i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.17715 | + | 8.99986i | 0.373122 | + | 0.467881i | ||||
\(371\) | 1.31491 | − | 0.384701i | 0.0682670 | − | 0.0199727i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.88220 | − | 13.6524i | 0.408125 | − | 0.706893i | −0.586555 | − | 0.809909i | \(-0.699516\pi\) |
0.994680 | + | 0.103017i | \(0.0328495\pi\) | |||||||
\(374\) | 8.31297 | + | 14.3985i | 0.429854 | + | 0.744528i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.49330 | − | 6.02491i | −0.334867 | − | 0.310711i | ||||
\(377\) | 3.06070 | − | 1.47395i | 0.157634 | − | 0.0759125i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.4063 | + | 5.49298i | 0.585901 | + | 0.282155i | 0.703258 | − | 0.710935i | \(-0.251728\pi\) |
−0.117357 | + | 0.993090i | \(0.537442\pi\) | |||||||
\(380\) | −4.52513 | − | 11.5298i | −0.232134 | − | 0.591468i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.53710 | + | 2.32489i | −0.385632 | + | 0.118952i | ||||
\(383\) | −0.723077 | + | 9.64879i | −0.0369475 | + | 0.493030i | 0.947780 | + | 0.318926i | \(0.103322\pi\) |
−0.984727 | + | 0.174104i | \(0.944297\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.52266 | + | 0.706124i | −0.0776021 | + | 0.0359874i | ||||
\(386\) | −10.0269 | + | 43.9307i | −0.510356 | + | 2.23602i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −13.4964 | + | 34.3882i | −0.685174 | + | 1.74580i | ||||
\(389\) | 18.9064 | − | 17.5425i | 0.958591 | − | 0.889442i | −0.0353484 | − | 0.999375i | \(-0.511254\pi\) |
0.993939 | + | 0.109933i | \(0.0350636\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 32.0160 | 1.61912 | ||||||||
\(392\) | 49.3668 | + | 1.43949i | 2.49340 | + | 0.0727052i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −11.3991 | + | 7.77176i | −0.574277 | + | 0.391536i | ||||
\(395\) | 3.89354 | − | 3.61268i | 0.195905 | − | 0.181773i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −18.0552 | − | 5.56929i | −0.906164 | − | 0.279515i | −0.193566 | − | 0.981087i | \(-0.562005\pi\) |
−0.712598 | + | 0.701573i | \(0.752482\pi\) | |||||||
\(398\) | 4.23501 | − | 18.5548i | 0.212282 | − | 0.930067i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 9.35071 | + | 40.9681i | 0.467536 | + | 2.04841i | ||||
\(401\) | −1.57452 | + | 21.0105i | −0.0786276 | + | 1.04921i | 0.808745 | + | 0.588159i | \(0.200147\pi\) |
−0.887373 | + | 0.461053i | \(0.847472\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.489854 | + | 6.53665i | 0.0244014 | + | 0.325614i | ||||
\(404\) | 8.45137 | + | 21.5338i | 0.420472 | + | 1.07134i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −19.3983 | + | 12.8154i | −0.962724 | + | 0.636020i | ||||
\(407\) | 10.1057 | − | 4.86664i | 0.500920 | − | 0.241230i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 25.7879 | + | 3.88690i | 1.27513 | + | 0.192195i | 0.751490 | − | 0.659744i | \(-0.229335\pi\) |
0.523641 | + | 0.851939i | \(0.324574\pi\) | |||||||
\(410\) | −7.03901 | − | 12.1919i | −0.347632 | − | 0.602116i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −26.7884 | + | 33.5916i | −1.31977 | + | 1.65494i | ||||
\(413\) | 32.6035 | + | 22.9318i | 1.60431 | + | 1.12840i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.53462 | + | 1.13566i | −0.369860 | + | 0.0557474i | ||||
\(416\) | −7.31235 | − | 4.98548i | −0.358517 | − | 0.244433i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −16.9894 | + | 2.56073i | −0.830976 | + | 0.125250i | ||||
\(419\) | 16.2545 | + | 20.3825i | 0.794085 | + | 0.995751i | 0.999853 | + | 0.0171499i | \(0.00545926\pi\) |
−0.205768 | + | 0.978601i | \(0.565969\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.3925 | + | 19.3016i | −0.750186 | + | 0.940704i | −0.999617 | − | 0.0276890i | \(-0.991185\pi\) |
0.249430 | + | 0.968393i | \(0.419757\pi\) | |||||||
\(422\) | −21.7611 | + | 37.6914i | −1.05931 | + | 1.83479i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.61265 | + | 0.544519i | 0.175446 | + | 0.0264442i | ||||
\(425\) | −17.6349 | − | 16.3628i | −0.855421 | − | 0.793714i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.4736 | + | 19.2204i | −0.555248 | + | 0.930141i | ||||
\(428\) | −17.4008 | − | 8.37978i | −0.841099 | − | 0.405052i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.337994 | − | 4.51022i | −0.0162995 | − | 0.217502i | ||||
\(431\) | 28.2452 | − | 8.71248i | 1.36052 | − | 0.419665i | 0.473256 | − | 0.880925i | \(-0.343078\pi\) |
0.887265 | + | 0.461259i | \(0.152602\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.72367 | − | 20.6957i | −0.227005 | − | 0.994574i | −0.952067 | − | 0.305890i | \(-0.901046\pi\) |
0.725062 | − | 0.688684i | \(-0.241811\pi\) | |||||||
\(434\) | −9.34405 | − | 43.8773i | −0.448529 | − | 2.10618i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.7271 | + | 4.54270i | 0.705299 | + | 0.217556i | ||||
\(437\) | −12.0874 | + | 30.7983i | −0.578220 | + | 1.47328i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −25.5837 | + | 17.4427i | −1.22104 | + | 0.832493i | −0.990085 | − | 0.140471i | \(-0.955138\pi\) |
−0.230958 | + | 0.972964i | \(0.574186\pi\) | |||||||
\(440\) | −4.47584 | −0.213377 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 13.1631 | 0.626104 | ||||||||
\(443\) | 28.4375 | − | 19.3884i | 1.35111 | − | 0.921169i | 0.351221 | − | 0.936293i | \(-0.385767\pi\) |
0.999886 | + | 0.0151235i | \(0.00481413\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.30166 | + | 3.31657i | −0.0617046 | + | 0.157221i | ||||
\(446\) | 40.9173 | + | 12.6213i | 1.93749 | + | 0.597637i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 12.2963 | + | 6.14395i | 0.580945 | + | 0.290274i | ||||
\(449\) | 7.03787 | + | 30.8349i | 0.332138 | + | 1.45519i | 0.814983 | + | 0.579485i | \(0.196746\pi\) |
−0.482845 | + | 0.875706i | \(0.660397\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.1081 | + | 4.04330i | −0.617235 | + | 0.190392i | ||||
\(452\) | 6.96833 | + | 92.9859i | 0.327763 | + | 4.37369i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.08738 | + | 1.96838i | 0.191830 | + | 0.0923807i | ||||
\(455\) | −0.118607 | + | 1.32354i | −0.00556040 | + | 0.0620484i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.5953 | − | 9.83104i | −0.495629 | − | 0.459877i | 0.392313 | − | 0.919832i | \(-0.371675\pi\) |
−0.887942 | + | 0.459955i | \(0.847866\pi\) | |||||||
\(458\) | −12.8246 | − | 1.93299i | −0.599253 | − | 0.0903229i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −7.47659 | + | 12.9498i | −0.348598 | + | 0.603789i | ||||
\(461\) | −10.8455 | + | 13.5998i | −0.505125 | + | 0.633406i | −0.967377 | − | 0.253342i | \(-0.918470\pi\) |
0.462252 | + | 0.886749i | \(0.347042\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.0945 | + | 13.9121i | 0.515606 | + | 0.646549i | 0.969669 | − | 0.244420i | \(-0.0785976\pi\) |
−0.454064 | + | 0.890969i | \(0.650026\pi\) | |||||||
\(464\) | −29.6577 | + | 4.47017i | −1.37682 | + | 0.207523i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −26.0137 | − | 17.7359i | −1.20506 | − | 0.821598i | ||||
\(467\) | −21.4967 | + | 3.24010i | −0.994747 | + | 0.149934i | −0.626189 | − | 0.779671i | \(-0.715386\pi\) |
−0.368558 | + | 0.929605i | \(0.620148\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.67913 | − | 8.98686i | 0.169886 | − | 0.414975i | ||||
\(470\) | −1.01698 | + | 1.27526i | −0.0469100 | + | 0.0588233i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 53.1477 | + | 92.0546i | 2.44632 | + | 4.23716i | ||||
\(473\) | −4.35782 | − | 0.656835i | −0.200373 | − | 0.0302013i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 22.3984 | − | 10.7865i | 1.02771 | − | 0.494919i | ||||
\(476\) | −62.7043 | + | 8.51842i | −2.87404 | + | 0.390441i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.87703 | + | 22.6183i | 0.406026 | + | 1.03454i | ||||
\(479\) | −1.16990 | − | 15.6112i | −0.0534539 | − | 0.713292i | −0.957973 | − | 0.286859i | \(-0.907389\pi\) |
0.904519 | − | 0.426433i | \(-0.140230\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.663625 | − | 8.85545i | 0.0302587 | − | 0.403774i | ||||
\(482\) | −3.06001 | − | 13.4068i | −0.139380 | − | 0.610663i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.87303 | − | 43.2566i | 0.448774 | − | 1.96621i | ||||
\(485\) | 3.74677 | + | 1.15573i | 0.170132 | + | 0.0524788i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.63227 | − | 3.37025i | 0.164594 | − | 0.152721i | −0.593576 | − | 0.804778i | \(-0.702284\pi\) |
0.758170 | + | 0.652057i | \(0.226094\pi\) | |||||||
\(488\) | −49.3204 | + | 33.6261i | −2.23263 | + | 1.52218i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.415005 | − | 9.08490i | −0.0187480 | − | 0.410414i | ||||
\(491\) | 19.1196 | 0.862855 | 0.431427 | − | 0.902148i | \(-0.358010\pi\) | ||||
0.431427 | + | 0.902148i | \(0.358010\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 12.5868 | − | 11.6788i | 0.566881 | − | 0.525989i | ||||
\(494\) | −4.96963 | + | 12.6624i | −0.223594 | + | 0.569709i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.8779 | − | 56.4220i | 0.578237 | − | 2.53342i | ||||
\(497\) | 7.00093 | − | 28.7359i | 0.314035 | − | 1.28898i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.685361 | − | 9.14551i | 0.0306810 | − | 0.409409i | −0.960626 | − | 0.277843i | \(-0.910380\pi\) |
0.991307 | − | 0.131566i | \(-0.0420005\pi\) | |||||||
\(500\) | 22.0411 | − | 6.79879i | 0.985709 | − | 0.304051i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.33115 | + | 11.0356i | 0.193308 | + | 0.492542i | ||||
\(503\) | 8.22428 | + | 3.96061i | 0.366703 | + | 0.176595i | 0.608156 | − | 0.793818i | \(-0.291910\pi\) |
−0.241453 | + | 0.970413i | \(0.577624\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.21215 | − | 1.06531i | 0.0984392 | − | 0.0474058i | ||||
\(506\) | 15.2051 | + | 14.1083i | 0.675951 | + | 0.627191i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 6.73510 | + | 11.6655i | 0.298822 | + | 0.517575i | ||||
\(509\) | 1.25896 | − | 2.18057i | 0.0558022 | − | 0.0966523i | −0.836775 | − | 0.547547i | \(-0.815562\pi\) |
0.892577 | + | 0.450895i | \(0.148895\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.19030 | + | 19.7405i | 0.0526557 | + | 0.873268i | ||||
\(512\) | −29.1334 | − | 36.5321i | −1.28753 | − | 1.61451i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.4777 | − | 7.14356i | −0.462150 | − | 0.315089i | ||||
\(515\) | 3.76789 | + | 2.56890i | 0.166033 | + | 0.113199i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.990940 | + | 1.24260i | 0.0435815 | + | 0.0546495i | ||||
\(518\) | 3.65794 | + | 60.6651i | 0.160721 | + | 2.66547i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.77180 | + | 3.06885i | −0.0776987 | + | 0.134578i | ||||
\(521\) | 2.87635 | + | 4.98199i | 0.126015 | + | 0.218265i | 0.922129 | − | 0.386882i | \(-0.126448\pi\) |
−0.796114 | + | 0.605147i | \(0.793115\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.66356 | + | 8.96647i | 0.422558 | + | 0.392076i | 0.862588 | − | 0.505906i | \(-0.168842\pi\) |
−0.440031 | + | 0.897983i | \(0.645032\pi\) | |||||||
\(524\) | −58.6128 | + | 28.2265i | −2.56051 | + | 1.23308i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 24.3296 | + | 11.7165i | 1.06082 | + | 0.510865i | ||||
\(527\) | 12.1043 | + | 30.8413i | 0.527272 | + | 1.34347i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.1899 | − | 4.99392i | 0.703908 | − | 0.217127i | ||||
\(530\) | 0.0502751 | − | 0.670875i | 0.00218381 | − | 0.0291409i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 15.4791 | − | 63.5354i | 0.671106 | − | 2.75461i | ||||
\(533\) | −2.41667 | + | 10.5881i | −0.104677 | + | 0.458622i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.748915 | + | 1.90820i | −0.0323784 | + | 0.0824989i | ||||
\(536\) | 18.9829 | − | 17.6135i | 0.819935 | − | 0.760788i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −63.3815 | −2.73257 | ||||||||
\(539\) | −8.72028 | − | 1.57557i | −0.375609 | − | 0.0678647i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.0372 | + | 6.84325i | −0.431533 | + | 0.294214i | −0.759539 | − | 0.650461i | \(-0.774576\pi\) |
0.328006 | + | 0.944675i | \(0.393623\pi\) | |||||||
\(542\) | 16.4268 | − | 15.2418i | 0.705590 | − | 0.654692i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −42.7450 | − | 13.1851i | −1.83268 | − | 0.565306i | ||||
\(545\) | 0.363998 | − | 1.59478i | 0.0155919 | − | 0.0683128i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.19420 | − | 9.61344i | −0.0938174 | − | 0.411041i | 0.906111 | − | 0.423041i | \(-0.139037\pi\) |
−0.999928 | + | 0.0120000i | \(0.996180\pi\) | |||||||
\(548\) | 4.90065 | − | 65.3946i | 0.209345 | − | 2.79352i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −1.16473 | − | 15.5422i | −0.0496641 | − | 0.662721i | ||||
\(551\) | 6.48257 | + | 16.5173i | 0.276167 | + | 0.703662i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 27.7871 | − | 3.77490i | 1.18163 | − | 0.160525i | ||||
\(554\) | 51.7720 | − | 24.9321i | 2.19958 | − | 1.05926i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −73.4489 | − | 11.0706i | −3.11493 | − | 0.469500i | ||||
\(557\) | 4.75526 | + | 8.23634i | 0.201487 | + | 0.348985i | 0.949008 | − | 0.315253i | \(-0.102089\pi\) |
−0.747521 | + | 0.664238i | \(0.768756\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.17544 | + | 2.72792i | −0.0920114 | + | 0.115379i | ||||
\(560\) | 4.44495 | − | 10.8575i | 0.187833 | − | 0.458814i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 37.4889 | − | 5.65055i | 1.58138 | − | 0.238354i | ||||
\(563\) | 29.1031 | + | 19.8422i | 1.22655 | + | 0.836247i | 0.990769 | − | 0.135559i | \(-0.0432832\pi\) |
0.235780 | + | 0.971806i | \(0.424236\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.78656 | − | 1.47509i | 0.411724 | − | 0.0620573i | ||||
\(566\) | 21.1963 | + | 26.5793i | 0.890946 | + | 1.11721i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 49.1753 | − | 61.6638i | 2.06335 | − | 2.58736i | ||||
\(569\) | 18.1634 | − | 31.4599i | 0.761449 | − | 1.31887i | −0.180655 | − | 0.983547i | \(-0.557822\pi\) |
0.942104 | − | 0.335322i | \(-0.108845\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −32.2813 | − | 4.86562i | −1.35093 | − | 0.203620i | −0.566615 | − | 0.823983i | \(-0.691747\pi\) |
−0.784315 | + | 0.620363i | \(0.786985\pi\) | |||||||
\(572\) | 4.39129 | + | 4.07452i | 0.183609 | + | 0.170364i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.63414 | − | 74.0302i | 0.276904 | − | 3.08996i | ||||
\(575\) | −27.0407 | − | 13.0221i | −1.12768 | − | 0.543061i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.18140 | − | 29.1088i | −0.0908131 | − | 1.21182i | −0.837423 | − | 0.546555i | \(-0.815939\pi\) |
0.746610 | − | 0.665262i | \(-0.231680\pi\) | |||||||
\(578\) | 21.4601 | − | 6.61957i | 0.892624 | − | 0.275338i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.78451 | + | 7.81843i | 0.0740976 | + | 0.324643i | ||||
\(581\) | −35.9872 | − | 17.9813i | −1.49300 | − | 0.745990i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.626404 | − | 0.193220i | −0.0259430 | − | 0.00800235i | ||||
\(584\) | −19.2671 | + | 49.0918i | −0.797278 | + | 2.03143i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 45.5459 | − | 31.0526i | 1.88148 | − | 1.28277i | ||||
\(587\) | −14.0362 | −0.579337 | −0.289668 | − | 0.957127i | \(-0.593545\pi\) | ||||
−0.289668 | + | 0.957127i | \(0.593545\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −34.2381 | −1.41076 | ||||||||
\(590\) | 16.1724 | − | 11.0261i | 0.665807 | − | 0.453939i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −28.6437 | + | 72.9830i | −1.17725 | + | 2.99958i | ||||
\(593\) | 31.2977 | + | 9.65407i | 1.28524 | + | 0.396445i | 0.860770 | − | 0.508995i | \(-0.169983\pi\) |
0.424474 | + | 0.905440i | \(0.360459\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.39896 | + | 6.56919i | 0.0573520 | + | 0.269311i | ||||
\(596\) | −13.8882 | − | 60.8482i | −0.568883 | − | 2.49244i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 15.6924 | − | 4.84048i | 0.641712 | − | 0.197942i | ||||
\(599\) | −0.0183362 | − | 0.244680i | −0.000749197 | − | 0.00999734i | 0.996817 | − | 0.0797278i | \(-0.0254051\pi\) |
−0.997566 | + | 0.0697305i | \(0.977786\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.6526 | + | 6.57475i | 0.556902 | + | 0.268190i | 0.691093 | − | 0.722766i | \(-0.257129\pi\) |
−0.134191 | + | 0.990955i | \(0.542844\pi\) | |||||||
\(602\) | 12.2397 | − | 20.5037i | 0.498852 | − | 0.835668i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 34.8771 | + | 32.3612i | 1.41913 | + | 1.31676i | ||||
\(605\) | −4.65668 | − | 0.701882i | −0.189321 | − | 0.0285355i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −16.9706 | + | 29.3939i | −0.688815 | + | 1.19306i | 0.283407 | + | 0.959000i | \(0.408535\pi\) |
−0.972222 | + | 0.234063i | \(0.924798\pi\) | |||||||
\(608\) | 28.8217 | − | 36.1412i | 1.16887 | − | 1.46572i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.85337 | + | 8.59385i | 0.277485 | + | 0.347955i | ||||
\(611\) | 1.24426 | − | 0.187542i | 0.0503373 | − | 0.00758713i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.6223 | + | 9.28750i | 0.550198 | + | 0.375119i | 0.806278 | − | 0.591537i | \(-0.201479\pi\) |
−0.256080 | + | 0.966656i | \(0.582431\pi\) | |||||||
\(614\) | −37.4347 | + | 5.64238i | −1.51074 | + | 0.227708i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −19.3286 | − | 13.5948i | −0.778771 | − | 0.547752i | ||||
\(617\) | 5.49056 | − | 6.88494i | 0.221042 | − | 0.277177i | −0.658929 | − | 0.752205i | \(-0.728990\pi\) |
0.879971 | + | 0.475027i | \(0.157562\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.12486 | − | 8.87651i | −0.205985 | − | 0.356777i | 0.744461 | − | 0.667666i | \(-0.232707\pi\) |
−0.950446 | + | 0.310889i | \(0.899373\pi\) | |||||||
\(620\) | −15.3014 | − | 2.30631i | −0.614517 | − | 0.0926236i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −50.7531 | + | 24.4414i | −2.03501 | + | 0.980010i | ||||
\(623\) | −15.6948 | + | 10.3687i | −0.628801 | + | 0.415415i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.78037 | + | 19.8241i | 0.311215 | + | 0.792962i | ||||
\(626\) | −2.62824 | − | 35.0714i | −0.105046 | − | 1.40174i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.29943 | − | 57.3719i | 0.171566 | − | 2.28939i | ||||
\(629\) | −9.98775 | − | 43.7592i | −0.398238 | − | 1.74479i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.73961 | + | 12.0030i | −0.109062 | + | 0.477832i | 0.890669 | + | 0.454652i | \(0.150236\pi\) |
−0.999731 | + | 0.0231802i | \(0.992621\pi\) | |||||||
\(632\) | 71.4578 | + | 22.0418i | 2.84244 | + | 0.876776i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 15.7521 | − | 14.6158i | 0.625594 | − | 0.580466i | ||||
\(635\) | 1.18128 | − | 0.805386i | 0.0468779 | − | 0.0319608i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.53229 | + | 5.35534i | −0.179576 | + | 0.212186i | ||||
\(638\) | 11.1242 | 0.440412 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.53956 | + | 1.42851i | −0.0608566 | + | 0.0564667i | ||||
\(641\) | −9.98068 | + | 25.4304i | −0.394213 | + | 1.00444i | 0.586667 | + | 0.809828i | \(0.300440\pi\) |
−0.980881 | + | 0.194611i | \(0.937656\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.28431 | + | 5.62692i | −0.0506481 | + | 0.221904i | −0.993918 | − | 0.110123i | \(-0.964875\pi\) |
0.943270 | + | 0.332027i | \(0.107733\pi\) | |||||||
\(644\) | −71.6208 | + | 33.2136i | −2.82225 | + | 1.30880i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.13796 | + | 68.5614i | −0.202151 | + | 2.69751i | ||||
\(647\) | −10.0696 | + | 3.10606i | −0.395877 | + | 0.122112i | −0.486301 | − | 0.873791i | \(-0.661654\pi\) |
0.0904236 | + | 0.995903i | \(0.471178\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −6.96787 | − | 17.7538i | −0.273513 | − | 0.696899i | ||||
\(650\) | −11.1176 | − | 5.35393i | −0.436066 | − | 0.209998i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.0827578 | + | 0.0398541i | −0.00324105 | + | 0.00156081i | ||||
\(653\) | −10.3211 | − | 9.57660i | −0.403897 | − | 0.374761i | 0.451904 | − | 0.892066i | \(-0.350745\pi\) |
−0.855801 | + | 0.517305i | \(0.826935\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.45245 | + | 5.97983i | 0.134899 | + | 0.233651i | ||||
\(656\) | 47.9424 | − | 83.0387i | 1.87184 | − | 3.24212i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.26522 | + | 2.41813i | −0.322212 | + | 0.0942687i | ||||
\(659\) | −24.7173 | − | 30.9945i | −0.962850 | − | 1.20738i | −0.978236 | − | 0.207494i | \(-0.933469\pi\) |
0.0153867 | − | 0.999882i | \(-0.495102\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −32.0344 | − | 21.8407i | −1.24599 | − | 0.849503i | −0.252975 | − | 0.967473i | \(-0.581409\pi\) |
−0.993017 | + | 0.117970i | \(0.962361\pi\) | |||||||
\(662\) | −68.6300 | − | 46.7912i | −2.66738 | − | 1.81859i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −66.8875 | − | 83.8742i | −2.59574 | − | 3.25495i | ||||
\(665\) | −6.84750 | − | 1.13440i | −0.265535 | − | 0.0439901i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 10.7108 | − | 18.5516i | 0.414722 | − | 0.718320i | ||||
\(668\) | 46.5843 | + | 80.6864i | 1.80240 | + | 3.12185i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.49555 | − | 3.24340i | −0.135045 | − | 0.125303i | ||||
\(671\) | 9.64978 | − | 4.64709i | 0.372526 | − | 0.179399i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −24.3509 | − | 11.7268i | −0.938660 | − | 0.452035i | −0.0989637 | − | 0.995091i | \(-0.531553\pi\) |
−0.839696 | + | 0.543056i | \(0.817267\pi\) | |||||||
\(674\) | −7.38922 | − | 18.8274i | −0.284622 | − | 0.725206i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −54.1192 | + | 16.6936i | −2.08151 | + | 0.642061i | ||||
\(677\) | 1.79261 | − | 23.9208i | 0.0688958 | − | 0.919350i | −0.850489 | − | 0.525992i | \(-0.823694\pi\) |
0.919385 | − | 0.393358i | \(-0.128687\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.6698 | + | 16.3713i | 0.486221 | + | 0.628273i | ||||
\(680\) | −3.98553 | + | 17.4617i | −0.152838 | + | 0.669627i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.84203 | + | 19.9812i | −0.300287 | + | 0.765119i | ||||
\(683\) | −0.597376 | + | 0.554284i | −0.0228580 | + | 0.0212091i | −0.691519 | − | 0.722358i | \(-0.743058\pi\) |
0.668661 | + | 0.743567i | \(0.266868\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.96038 | −0.265942 | ||||||||
\(686\) | 25.8022 | − | 40.4930i | 0.985132 | − | 1.54603i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 25.4523 | − | 17.3531i | 0.970362 | − | 0.661581i | ||||
\(689\) | −0.380449 | + | 0.353005i | −0.0144939 | + | 0.0134484i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −26.3353 | − | 8.12336i | −1.00184 | − | 0.309027i | −0.249910 | − | 0.968269i | \(-0.580401\pi\) |
−0.751931 | + | 0.659242i | \(0.770877\pi\) | |||||||
\(692\) | −22.4560 | + | 98.3861i | −0.853648 | + | 3.74008i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.66636 | + | 11.6821i | 0.101214 | + | 0.443446i | ||||
\(695\) | −0.589160 | + | 7.86180i | −0.0223481 | + | 0.298215i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.10215 | + | 54.7393i | 0.155380 | + | 2.07340i | ||||
\(698\) | −10.6874 | − | 27.2312i | −0.404526 | − | 1.03071i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 56.4249 | + | 18.3096i | 2.13266 | + | 0.692036i | ||||
\(701\) | 12.9825 | − | 6.25205i | 0.490343 | − | 0.236137i | −0.172339 | − | 0.985038i | \(-0.555132\pi\) |
0.662682 | + | 0.748901i | \(0.269418\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 45.8656 | + | 6.91313i | 1.72985 | + | 0.260734i | ||||
\(704\) | −3.28851 | − | 5.69586i | −0.123940 | − | 0.214671i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 13.9740 | − | 17.5229i | 0.525919 | − | 0.659481i | ||||
\(707\) | 12.7888 | + | 2.11866i | 0.480971 | + | 0.0796806i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.1265 | − | 1.52633i | 0.380310 | − | 0.0573225i | 0.0438945 | − | 0.999036i | \(-0.486023\pi\) |
0.336415 | + | 0.941714i | \(0.390785\pi\) | |||||||
\(710\) | −11.9999 | − | 8.18137i | −0.450347 | − | 0.307041i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −49.6017 | + | 7.47626i | −1.85890 | + | 0.280185i | ||||
\(713\) | 25.7715 | + | 32.3165i | 0.965151 | + | 1.21026i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.396425 | − | 0.497102i | 0.0148255 | − | 0.0185905i | ||||
\(716\) | 15.3333 | − | 26.5580i | 0.573031 | − | 0.992519i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −53.7987 | − | 8.10884i | −2.00775 | − | 0.302619i | ||||
\(719\) | −18.6476 | − | 17.3024i | −0.695437 | − | 0.645271i | 0.251065 | − | 0.967970i | \(-0.419219\pi\) |
−0.946502 | + | 0.322699i | \(0.895410\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 8.46860 | + | 22.5382i | 0.315387 | + | 0.839365i | ||||
\(722\) | −19.6332 | − | 9.45487i | −0.730673 | − | 0.351874i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −4.41179 | − | 58.8712i | −0.163963 | − | 2.18793i | ||||
\(725\) | −15.3811 | + | 4.74443i | −0.571238 | + | 0.176204i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.50454 | + | 6.59180i | 0.0558001 | + | 0.244476i | 0.995134 | − | 0.0985268i | \(-0.0314130\pi\) |
−0.939334 | + | 0.343003i | \(0.888556\pi\) | |||||||
\(728\) | −16.9727 | + | 7.87096i | −0.629050 | + | 0.291717i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 9.27973 | + | 2.86242i | 0.343458 | + | 0.105943i | ||||
\(731\) | −6.44297 | + | 16.4164i | −0.238302 | + | 0.607184i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 33.0844 | − | 22.5566i | 1.22200 | − | 0.833146i | 0.231796 | − | 0.972764i | \(-0.425540\pi\) |
0.990205 | + | 0.139618i | \(0.0445875\pi\) | |||||||
\(734\) | 94.8467 | 3.50086 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −55.8073 | −2.05708 | ||||||||
\(737\) | −3.83901 | + | 2.61739i | −0.141412 | + | 0.0964129i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.03054 | + | 12.8176i | −0.185051 | + | 0.471503i | −0.993052 | − | 0.117679i | \(-0.962455\pi\) |
0.808000 | + | 0.589182i | \(0.200550\pi\) | |||||||
\(740\) | 20.0321 | + | 6.17909i | 0.736396 | + | 0.227148i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.25482 | − | 2.74442i | 0.0827769 | − | 0.100751i | ||||
\(743\) | −2.63763 | − | 11.5562i | −0.0967653 | − | 0.423957i | 0.903221 | − | 0.429176i | \(-0.141196\pi\) |
−0.999986 | + | 0.00521900i | \(0.998339\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.33014 | + | 1.95259i | −0.231919 | + | 0.0715374i | ||||
\(746\) | −3.05424 | − | 40.7559i | −0.111824 | − | 1.49218i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 27.2795 | + | 13.1371i | 0.997438 | + | 0.480341i | ||||
\(749\) | −9.03009 | + | 5.96570i | −0.329952 | + | 0.217982i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.0231 | − | 12.0836i | −0.475218 | − | 0.440938i | 0.405841 | − | 0.913944i | \(-0.366979\pi\) |
−0.881060 | + | 0.473005i | \(0.843169\pi\) | |||||||
\(752\) | −10.9854 | − | 1.65578i | −0.400596 | − | 0.0603801i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.40363 | − | 7.62730i | 0.160371 | − | 0.277770i | ||||
\(755\) | 3.14855 | − | 3.94815i | 0.114587 | − | 0.143688i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23.9187 | − | 29.9931i | −0.869341 | − | 1.09012i | −0.995180 | − | 0.0980679i | \(-0.968734\pi\) |
0.125839 | − | 0.992051i | \(-0.459838\pi\) | |||||||
\(758\) | 32.4553 | − | 4.89185i | 1.17883 | − | 0.177680i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −15.2929 | − | 10.4265i | −0.554731 | − | 0.378209i | ||||
\(761\) | 20.1809 | − | 3.04178i | 0.731556 | − | 0.110264i | 0.227308 | − | 0.973823i | \(-0.427008\pi\) |
0.504248 | + | 0.863559i | \(0.331770\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.41585 | − | 5.78133i | 0.232270 | − | 0.209298i | ||||
\(764\) | −8.95592 | + | 11.2304i | −0.324014 | + | 0.406301i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.5426 | + | 21.7245i | 0.453184 | + | 0.784937i | ||||
\(767\) | −14.9312 | − | 2.25052i | −0.539134 | − | 0.0812614i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −35.6497 | + | 17.1680i | −1.28556 | + | 0.619094i | −0.946813 | − | 0.321784i | \(-0.895718\pi\) |
−0.338748 | + | 0.940877i | \(0.610003\pi\) | |||||||
\(770\) | −2.23041 | + | 3.73634i | −0.0803783 | + | 0.134648i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 29.9802 | + | 76.3884i | 1.07901 | + | 2.74928i | ||||
\(773\) | −1.32310 | − | 17.6555i | −0.0475886 | − | 0.635026i | −0.969099 | − | 0.246672i | \(-0.920663\pi\) |
0.921510 | − | 0.388354i | \(-0.126956\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.32102 | − | 30.9719i | 0.0833735 | − | 1.11254i | ||||
\(776\) | 12.2840 | + | 53.8198i | 0.440970 | + | 1.93202i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 14.8790 | − | 65.1892i | 0.533438 | − | 2.33714i | ||||
\(779\) | −54.2060 | − | 16.7204i | −1.94213 | − | 0.599069i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.3738 | + | 9.62550i | −0.371205 | + | 0.344428i | ||||
\(782\) | 68.5807 | − | 46.7576i | 2.45244 | − | 1.67205i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 52.1737 | − | 33.3863i | 1.86335 | − | 1.19237i | ||||
\(785\) | −6.10647 | −0.217949 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 9.68271 | − | 8.98424i | 0.345151 | − | 0.320254i | −0.488480 | − | 0.872575i | \(-0.662448\pi\) |
0.833631 | + | 0.552322i | \(0.186258\pi\) | |||||||
\(788\) | −9.17917 | + | 23.3881i | −0.326994 | + | 0.833168i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.06415 | − | 13.4249i | 0.109018 | − | 0.477638i | ||||
\(791\) | 46.7429 | + | 23.3555i | 1.66199 | + | 0.830426i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.633686 | − | 8.45595i | 0.0225029 | − | 0.300280i | ||||
\(794\) | −46.8093 | + | 14.4387i | −1.66120 | + | 0.512412i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.6626 | − | 32.2637i | −0.448813 | − | 1.14356i | ||||
\(797\) | −31.3045 | − | 15.0754i | −1.10886 | − | 0.533999i | −0.212427 | − | 0.977177i | \(-0.568137\pi\) |
−0.896434 | + | 0.443178i | \(0.853851\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.73018 | − | 2.75951i | 0.202719 | − | 0.0976245i | ||||
\(800\) | 30.7396 | + | 28.5222i | 1.08681 | + | 1.00841i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 27.3119 | + | 47.3055i | 0.964415 | + | 1.67042i | ||||
\(803\) | 4.73124 | − | 8.19475i | 0.166962 | − | 0.289186i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.08348 | + | 7.31706i | 0.143924 | + | 0.257892i | ||||
\(806\) | 10.5957 | + | 13.2866i | 0.373218 | + | 0.468001i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 28.5618 | + | 19.4731i | 1.00480 | + | 0.685061i | ||||
\(809\) | −37.9991 | − | 25.9074i | −1.33598 | − | 0.910855i | −0.336454 | − | 0.941700i | \(-0.609228\pi\) |
−0.999524 | + | 0.0308452i | \(0.990180\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.4008 | − | 36.8675i | −1.03240 | − | 1.29459i | −0.954686 | − | 0.297616i | \(-0.903808\pi\) |
−0.0777170 | − | 0.996975i | \(-0.524763\pi\) | |||||||
\(812\) | −16.0413 | + | 39.1836i | −0.562941 | + | 1.37507i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 14.5397 | − | 25.1835i | 0.509616 | − | 0.882682i | ||||
\(815\) | 0.00487466 | + | 0.00844316i | 0.000170752 | + | 0.000295751i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −13.3595 | − | 12.3958i | −0.467391 | − | 0.433675i | ||||
\(818\) | 60.9163 | − | 29.3358i | 2.12989 | − | 1.02570i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −23.0989 | − | 11.1239i | −0.806650 | − | 0.388462i | ||||
\(821\) | 14.6704 | + | 37.3797i | 0.512002 | + | 1.30456i | 0.920122 | + | 0.391631i | \(0.128089\pi\) |
−0.408120 | + | 0.912928i | \(0.633816\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.29182 | − | 1.94077i | 0.219319 | − | 0.0676510i | −0.183148 | − | 0.983085i | \(-0.558629\pi\) |
0.402467 | + | 0.915434i | \(0.368153\pi\) | |||||||
\(824\) | −4.79804 | + | 64.0254i | −0.167148 | + | 2.23043i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 103.330 | + | 1.50618i | 3.59531 | + | 0.0524068i | ||||
\(827\) | −0.364452 | + | 1.59677i | −0.0126732 | + | 0.0555251i | −0.980869 | − | 0.194668i | \(-0.937637\pi\) |
0.968196 | + | 0.250193i | \(0.0804941\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.67915 | + | 11.9223i | −0.162514 | + | 0.414078i | −0.988814 | − | 0.149151i | \(-0.952346\pi\) |
0.826301 | + | 0.563229i | \(0.190441\pi\) | |||||||
\(830\) | −14.4812 | + | 13.4366i | −0.502649 | + | 0.466390i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.20715 | −0.180525 | ||||||||
\(833\) | −13.9118 | + | 32.6178i | −0.482017 | + | 1.13014i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.17053 | − | 5.57057i | 0.282753 | − | 0.192778i | ||||
\(836\) | −22.9367 | + | 21.2821i | −0.793281 | + | 0.736057i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 64.5859 | + | 19.9221i | 2.23108 | + | 0.688198i | ||||
\(839\) | 4.44861 | − | 19.4907i | 0.153583 | − | 0.672892i | −0.838243 | − | 0.545297i | \(-0.816417\pi\) |
0.991826 | − | 0.127595i | \(-0.0407259\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.89667 | + | 17.0724i | 0.134368 | + | 0.588705i | ||||
\(842\) | −4.78306 | + | 63.8255i | −0.164835 | + | 2.19957i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 5.92308 | + | 79.0379i | 0.203881 | + | 2.72060i | ||||
\(845\) | 2.19615 | + | 5.59569i | 0.0755497 | + | 0.192498i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.9777 | − | 17.1752i | −0.617719 | − | 0.590146i | ||||
\(848\) | 4.12834 | − | 1.98810i | 0.141768 | − | 0.0682718i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −61.6724 | − | 9.29562i | −2.11535 | − | 0.318837i | ||||
\(851\) | −27.9986 | − | 48.4950i | −0.959779 | − | 1.66239i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.39466 | − | 6.76469i | 0.184710 | − | 0.231619i | −0.680852 | − | 0.732421i | \(-0.738390\pi\) |
0.865562 | + | 0.500802i | \(0.166962\pi\) | |||||||
\(854\) | 3.49292 | + | 57.9282i | 0.119525 | + | 1.98226i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −28.5386 | + | 4.30150i | −0.975428 | + | 0.147022i | ||||
\(857\) | −20.4243 | − | 13.9251i | −0.697682 | − | 0.475671i | 0.161809 | − | 0.986822i | \(-0.448267\pi\) |
−0.859491 | + | 0.511151i | \(0.829219\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −22.5949 | + | 3.40564i | −0.770929 | + | 0.116199i | −0.522716 | − | 0.852507i | \(-0.675081\pi\) |
−0.248213 | + | 0.968706i | \(0.579843\pi\) | |||||||
\(860\) | −5.13551 | − | 6.43973i | −0.175120 | − | 0.219593i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 47.7792 | − | 59.9133i | 1.62737 | − | 2.04065i | ||||
\(863\) | −20.5066 | + | 35.5184i | −0.698052 | + | 1.20906i | 0.271089 | + | 0.962554i | \(0.412616\pi\) |
−0.969141 | + | 0.246508i | \(0.920717\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 10.5915 | + | 1.59641i | 0.360122 | + | 0.0542797i | ||||
\(866\) | −40.3434 | − | 37.4332i | −1.37093 | − | 1.27203i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −59.0727 | − | 56.4358i | −2.00506 | − | 1.91556i | ||||
\(869\) | −12.0888 | − | 5.82165i | −0.410084 | − | 0.197486i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.274904 | + | 3.66833i | 0.00931475 | + | 0.124297i | ||||
\(872\) | 22.0073 | − | 6.78836i | 0.745262 | − | 0.229883i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 19.0869 | + | 83.6253i | 0.645625 | + | 2.82867i | ||||
\(875\) | 3.05956 | − | 12.5582i | 0.103432 | − | 0.424545i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.53523 | − | 2.94123i | −0.321982 | − | 0.0993183i | 0.129551 | − | 0.991573i | \(-0.458646\pi\) |
−0.451533 | + | 0.892255i | \(0.649123\pi\) | |||||||
\(878\) | −29.3282 | + | 74.7271i | −0.989779 | + | 2.52192i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.63812 | + | 3.16222i | −0.156351 | + | 0.106598i | ||||
\(881\) | −26.0496 | −0.877635 | −0.438817 | − | 0.898576i | \(-0.644603\pi\) | ||||
−0.438817 | + | 0.898576i | \(0.644603\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.62501 | −0.155644 | −0.0778220 | − | 0.996967i | \(-0.524797\pi\) | ||||
−0.0778220 | + | 0.996967i | \(0.524797\pi\) | |||||||
\(884\) | 19.8063 | − | 13.5037i | 0.666158 | − | 0.454179i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 32.5997 | − | 83.0628i | 1.09521 | − | 2.79055i | ||||
\(887\) | 3.10320 | + | 0.957210i | 0.104195 | + | 0.0321400i | 0.346414 | − | 0.938082i | \(-0.387399\pi\) |
−0.242219 | + | 0.970222i | \(0.577875\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.54756 | + | 0.110017i | 0.253137 | + | 0.00368984i | ||||
\(890\) | 2.05541 | + | 9.00536i | 0.0688977 | + | 0.301860i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 74.5157 | − | 22.9850i | 2.49497 | − | 0.769596i | ||||
\(893\) | 0.491160 | + | 6.55407i | 0.0164360 | + | 0.219324i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.93258 | − | 1.41225i | −0.0980252 | − | 0.0472065i | ||||
\(896\) | −10.9874 | + | 1.49265i | −0.367064 | + | 0.0498660i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 60.1084 | + | 55.7724i | 2.00584 | + | 1.86115i | ||||
\(899\) | 21.9203 | + | 3.30395i | 0.731083 | + | 0.110193i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.31160 | + | 2.27176i | −0.0436957 | + | 0.0756832i | ||||
\(902\) | −22.1735 | + | 27.8047i | −0.738296 | + | 0.925794i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 86.8787 | + | 108.942i | 2.88954 | + | 3.62337i | ||||
\(905\) | −6.19607 | + | 0.933907i | −0.205964 | + | 0.0310441i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −37.4868 | − | 25.5580i | −1.24473 | − | 0.848641i | −0.251848 | − | 0.967767i | \(-0.581038\pi\) |
−0.992879 | + | 0.119126i | \(0.961991\pi\) | |||||||
\(908\) | 8.16955 | − | 1.23136i | 0.271116 | − | 0.0408642i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.67889 | + | 3.00834i | 0.0556545 | + | 0.0997255i | ||||
\(911\) | 5.80732 | − | 7.28215i | 0.192405 | − | 0.241269i | −0.676266 | − | 0.736657i | \(-0.736403\pi\) |
0.868671 | + | 0.495389i | \(0.164974\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.62437 | + | 16.6699i | 0.318520 | + | 0.551693i | ||||
\(914\) | −37.0537 | − | 5.58495i | −1.22563 | − | 0.184734i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −21.2800 | + | 10.2479i | −0.703111 | + | 0.338600i | ||||
\(917\) | −3.25387 | + | 36.3099i | −0.107452 | + | 1.19906i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.07307 | + | 7.83004i | 0.101371 | + | 0.258289i | 0.972557 | − | 0.232663i | \(-0.0747440\pi\) |
−0.871186 | + | 0.490953i | \(0.836649\pi\) | |||||||
\(920\) | 1.66986 | + | 22.2827i | 0.0550536 | + | 0.734640i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −3.37012 | + | 44.9711i | −0.110989 | + | 1.48104i | ||||
\(923\) | 2.49314 | + | 10.9231i | 0.0820626 | + | 0.359540i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −9.36288 | + | 41.0215i | −0.307850 | + | 1.34878i | ||||
\(926\) | 44.0831 | + | 13.5978i | 1.44866 | + | 0.446853i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −21.9401 | + | 20.3575i | −0.720220 | + | 0.668266i | ||||
\(929\) | 7.45057 | − | 5.07971i | 0.244445 | − | 0.166660i | −0.434900 | − | 0.900479i | \(-0.643216\pi\) |
0.679345 | + | 0.733819i | \(0.262264\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −26.1248 | − | 25.6973i | −0.856206 | − | 0.842196i | ||||
\(932\) | −57.3374 | −1.87815 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −41.3155 | + | 38.3352i | −1.35189 | + | 1.25437i | ||||
\(935\) | 1.17409 | − | 2.99153i | 0.0383968 | − | 0.0978333i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.155536 | − | 0.681446i | 0.00508113 | − | 0.0222619i | −0.972324 | − | 0.233637i | \(-0.924937\pi\) |
0.977405 | + | 0.211375i | \(0.0677943\pi\) | |||||||
\(938\) | −5.24383 | − | 24.6237i | −0.171217 | − | 0.803993i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.221984 | + | 2.96217i | −0.00724031 | + | 0.0966152i | ||||
\(941\) | 14.3602 | − | 4.42954i | 0.468130 | − | 0.144399i | −0.0517109 | − | 0.998662i | \(-0.516467\pi\) |
0.519841 | + | 0.854263i | \(0.325991\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 25.0198 | + | 63.7494i | 0.814756 | + | 2.07596i | ||||
\(944\) | 120.112 | + | 57.8429i | 3.90931 | + | 1.88263i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.2941 | + | 4.95736i | −0.334689 | + | 0.161178i | ||||
\(947\) | 3.74662 | + | 3.47635i | 0.121749 | + | 0.112966i | 0.738698 | − | 0.674037i | \(-0.235441\pi\) |
−0.616949 | + | 0.787003i | \(0.711632\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.74581 | − | 6.48793i | −0.121594 | − | 0.210607i | ||||
\(950\) | 32.2261 | − | 55.8172i | 1.04555 | − | 1.81095i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −70.2493 | + | 63.3017i | −2.27679 | + | 2.05162i | ||||
\(953\) | 5.01956 | + | 6.29433i | 0.162600 | + | 0.203893i | 0.856456 | − | 0.516220i | \(-0.172661\pi\) |
−0.693857 | + | 0.720113i | \(0.744090\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.25968 | + | 0.858838i | 0.0407624 | + | 0.0277913i | ||||
\(956\) | 36.5608 | + | 24.9267i | 1.18246 | + | 0.806188i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −25.3052 | − | 31.7318i | −0.817575 | − | 1.02521i | ||||
\(959\) | −30.0579 | − | 21.1414i | −0.970620 | − | 0.682690i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.88727 | + | 10.1970i | −0.189912 | + | 0.328937i | ||||
\(962\) | −11.5114 | − | 19.9383i | −0.371141 | − | 0.642835i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.3581 | − | 17.0338i | −0.591274 | − | 0.548623i | ||||
\(965\) | 7.84732 | − | 3.77907i | 0.252614 | − | 0.121653i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.464698 | + | 0.223787i | 0.0149437 | + | 0.00719650i | 0.441341 | − | 0.897340i | \(-0.354503\pi\) |
−0.426397 | + | 0.904536i | \(0.640217\pi\) | |||||||
\(968\) | −24.2231 | − | 61.7193i | −0.778558 | − | 1.98373i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 9.71375 | − | 2.99629i | 0.311890 | − | 0.0962052i | ||||
\(971\) | 0.686832 | − | 9.16513i | 0.0220415 | − | 0.294123i | −0.975280 | − | 0.220975i | \(-0.929076\pi\) |
0.997321 | − | 0.0731485i | \(-0.0233047\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −26.4236 | + | 32.1611i | −0.847101 | + | 1.03104i | ||||
\(974\) | 2.85854 | − | 12.5241i | 0.0915934 | − | 0.401297i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −27.3515 | + | 69.6905i | −0.875500 | + | 2.23074i | ||||
\(977\) | −2.87247 | + | 2.66526i | −0.0918984 | + | 0.0852692i | −0.724784 | − | 0.688976i | \(-0.758061\pi\) |
0.632886 | + | 0.774245i | \(0.281870\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.00040 | 0.287654 | ||||||||
\(980\) | −9.94445 | − | 13.2442i | −0.317664 | − | 0.423070i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 40.9556 | − | 27.9231i | 1.30695 | − | 0.891061i | ||||
\(983\) | 1.71928 | − | 1.59526i | 0.0548364 | − | 0.0508808i | −0.652279 | − | 0.757979i | \(-0.726187\pi\) |
0.707115 | + | 0.707099i | \(0.249996\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.54826 | + | 0.786034i | 0.0811943 | + | 0.0250451i | ||||
\(986\) | 9.90561 | − | 43.3993i | 0.315459 | − | 1.38212i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.51236 | + | 24.1512i | 0.175371 | + | 0.768352i | ||||
\(989\) | −1.64419 | + | 21.9402i | −0.0522823 | + | 0.697659i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.74324 | − | 49.9501i | −0.118908 | − | 1.58672i | −0.663604 | − | 0.748084i | \(-0.730974\pi\) |
0.544696 | − | 0.838633i | \(-0.316645\pi\) | |||||||
\(992\) | −21.0991 | − | 53.7596i | −0.669897 | − | 1.70687i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −26.9706 | − | 71.7789i | −0.855455 | − | 2.27669i | ||||
\(995\) | −3.31443 | + | 1.59614i | −0.105074 | + | 0.0506011i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.0394 | − | 3.32191i | −0.697996 | − | 0.105206i | −0.209547 | − | 0.977799i | \(-0.567199\pi\) |
−0.488449 | + | 0.872593i | \(0.662437\pi\) | |||||||
\(998\) | −11.8884 | − | 20.5913i | −0.376321 | − | 0.651807i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.bb.f.37.6 | yes | 72 | |
3.2 | odd | 2 | inner | 441.2.bb.f.37.1 | ✓ | 72 | |
49.4 | even | 21 | inner | 441.2.bb.f.298.6 | yes | 72 | |
147.53 | odd | 42 | inner | 441.2.bb.f.298.1 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bb.f.37.1 | ✓ | 72 | 3.2 | odd | 2 | inner | |
441.2.bb.f.37.6 | yes | 72 | 1.1 | even | 1 | trivial | |
441.2.bb.f.298.1 | yes | 72 | 147.53 | odd | 42 | inner | |
441.2.bb.f.298.6 | yes | 72 | 49.4 | even | 21 | inner |