Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(37,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cj (of order \(6\), degree \(2\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 168) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 37.13 | ||
Character | \(\chi\) | \(=\) | 504.37 |
Dual form | 504.2.cj.e.109.13 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00926 | + | 0.990649i | 0.713658 | + | 0.700494i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0372299 | + | 1.99965i | 0.0186149 | + | 0.999827i | ||||
\(5\) | −0.586448 | − | 0.338586i | −0.262268 | − | 0.151420i | 0.363101 | − | 0.931750i | \(-0.381718\pi\) |
−0.625369 | + | 0.780330i | \(0.715051\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.23683 | + | 1.41301i | 0.845442 | + | 0.534068i | ||||
\(8\) | −1.94338 | + | 2.05506i | −0.687088 | + | 0.726574i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.256462 | − | 0.922687i | −0.0811002 | − | 0.291779i | ||||
\(11\) | −1.44721 | + | 0.835550i | −0.436352 | + | 0.251928i | −0.702049 | − | 0.712129i | \(-0.747731\pi\) |
0.265697 | + | 0.964057i | \(0.414398\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.28049i | 0.355144i | 0.984108 | + | 0.177572i | \(0.0568243\pi\) | ||||
−0.984108 | + | 0.177572i | \(0.943176\pi\) | |||||||
\(14\) | 0.857755 | + | 3.64201i | 0.229245 | + | 0.973369i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.99723 | + | 0.148894i | −0.999307 | + | 0.0372234i | ||||
\(17\) | 3.18262 | + | 5.51246i | 0.771899 | + | 1.33697i | 0.936521 | + | 0.350611i | \(0.114026\pi\) |
−0.164622 | + | 0.986357i | \(0.552640\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.20912 | + | 1.27544i | 0.506807 | + | 0.292605i | 0.731520 | − | 0.681820i | \(-0.238811\pi\) |
−0.224713 | + | 0.974425i | \(0.572144\pi\) | |||||||
\(20\) | 0.655221 | − | 1.18530i | 0.146512 | − | 0.265041i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.28836 | − | 0.590391i | −0.487880 | − | 0.125872i | ||||
\(23\) | −0.127760 | + | 0.221287i | −0.0266398 | + | 0.0461415i | −0.879038 | − | 0.476752i | \(-0.841814\pi\) |
0.852398 | + | 0.522893i | \(0.175147\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.27072 | − | 3.93300i | −0.454144 | − | 0.786600i | ||||
\(26\) | −1.26852 | + | 1.29235i | −0.248776 | + | 0.253451i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.74225 | + | 4.52549i | −0.518237 | + | 0.855237i | ||||
\(29\) | − | 6.27489i | − | 1.16522i | −0.812753 | − | 0.582609i | \(-0.802032\pi\) | ||
0.812753 | − | 0.582609i | \(-0.197968\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.14368 | + | 3.71296i | 0.385016 | + | 0.666867i | 0.991771 | − | 0.128022i | \(-0.0408627\pi\) |
−0.606756 | + | 0.794888i | \(0.707529\pi\) | |||||||
\(32\) | −4.18176 | − | 3.80958i | −0.739238 | − | 0.673444i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.24881 | + | 8.71639i | −0.385667 | + | 1.49485i | ||||
\(35\) | −0.833358 | − | 1.58602i | −0.140863 | − | 0.268086i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.62313 | − | 3.24651i | −0.924436 | − | 0.533724i | −0.0393887 | − | 0.999224i | \(-0.512541\pi\) |
−0.885048 | + | 0.465500i | \(0.845874\pi\) | |||||||
\(38\) | 0.966078 | + | 3.47572i | 0.156719 | + | 0.563836i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.83551 | − | 0.547186i | 0.290219 | − | 0.0865177i | ||||
\(41\) | 6.43132 | 1.00440 | 0.502202 | − | 0.864751i | \(-0.332524\pi\) | ||||
0.502202 | + | 0.864751i | \(0.332524\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.48802i | 0.836916i | 0.908236 | + | 0.418458i | \(0.137429\pi\) | ||||
−0.908236 | + | 0.418458i | \(0.862571\pi\) | |||||||
\(44\) | −1.72469 | − | 2.86282i | −0.260007 | − | 0.431586i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.348161 | + | 0.0967716i | −0.0513336 | + | 0.0142682i | ||||
\(47\) | 4.73403 | − | 8.19958i | 0.690529 | − | 1.19603i | −0.281136 | − | 0.959668i | \(-0.590711\pi\) |
0.971665 | − | 0.236363i | \(-0.0759556\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.00680 | + | 6.32132i | 0.429543 | + | 0.903046i | ||||
\(50\) | 1.60447 | − | 6.21892i | 0.226906 | − | 0.879489i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.56054 | + | 0.0476725i | −0.355083 | + | 0.00661099i | ||||
\(53\) | −4.91784 | + | 2.83932i | −0.675518 | + | 0.390010i | −0.798164 | − | 0.602440i | \(-0.794195\pi\) |
0.122647 | + | 0.992450i | \(0.460862\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.13162 | 0.152588 | ||||||||
\(56\) | −7.25083 | + | 1.85080i | −0.968933 | + | 0.247324i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.21621 | − | 6.33302i | 0.816229 | − | 0.831567i | ||||
\(59\) | 8.74078 | − | 5.04649i | 1.13795 | − | 0.656997i | 0.192030 | − | 0.981389i | \(-0.438493\pi\) |
0.945923 | + | 0.324392i | \(0.105160\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −13.2038 | − | 7.62324i | −1.69058 | − | 0.976056i | −0.954049 | − | 0.299650i | \(-0.903130\pi\) |
−0.736529 | − | 0.676406i | \(-0.763536\pi\) | |||||||
\(62\) | −1.51470 | + | 5.87099i | −0.192367 | + | 0.745616i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.446552 | − | 7.98753i | −0.0558190 | − | 0.998441i | ||||
\(65\) | 0.433556 | − | 0.750941i | 0.0537760 | − | 0.0931428i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.6595 | − | 7.88629i | 1.66877 | − | 0.963464i | 0.700465 | − | 0.713687i | \(-0.252976\pi\) |
0.968304 | − | 0.249776i | \(-0.0803571\pi\) | |||||||
\(68\) | −10.9045 | + | 6.56937i | −1.32237 | + | 0.796653i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.730106 | − | 2.42628i | 0.0872643 | − | 0.289995i | ||||
\(71\) | 5.48693 | 0.651179 | 0.325589 | − | 0.945511i | \(-0.394437\pi\) | ||||
0.325589 | + | 0.945511i | \(0.394437\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.43261 | − | 2.48136i | −0.167675 | − | 0.290421i | 0.769927 | − | 0.638132i | \(-0.220293\pi\) |
−0.937602 | + | 0.347711i | \(0.886959\pi\) | |||||||
\(74\) | −2.45907 | − | 8.84714i | −0.285861 | − | 1.02846i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.46819 | + | 4.46496i | −0.283120 | + | 0.512166i | ||||
\(77\) | −4.41781 | − | 0.175948i | −0.503456 | − | 0.0200511i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.09527 | − | 10.5573i | 0.685771 | − | 1.18779i | −0.287423 | − | 0.957804i | \(-0.592798\pi\) |
0.973194 | − | 0.229986i | \(-0.0738682\pi\) | |||||||
\(80\) | 2.39458 | + | 1.26609i | 0.267722 | + | 0.141553i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.49090 | + | 6.37118i | 0.716800 | + | 0.703579i | ||||
\(83\) | 7.63129i | 0.837643i | 0.908069 | + | 0.418822i | \(0.137557\pi\) | ||||
−0.908069 | + | 0.418822i | \(0.862443\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 4.31036i | − | 0.467525i | ||||||
\(86\) | −5.43670 | + | 5.53887i | −0.586255 | + | 0.597271i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.09538 | − | 4.59790i | 0.116768 | − | 0.490138i | ||||
\(89\) | 3.40374 | − | 5.89546i | 0.360796 | − | 0.624917i | −0.627296 | − | 0.778781i | \(-0.715838\pi\) |
0.988092 | + | 0.153864i | \(0.0491717\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.80935 | + | 2.86424i | −0.189671 | + | 0.300254i | ||||
\(92\) | −0.447253 | − | 0.247237i | −0.0466294 | − | 0.0257763i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 12.9008 | − | 3.58578i | 1.33061 | − | 0.369845i | ||||
\(95\) | −0.863690 | − | 1.49595i | −0.0886127 | − | 0.153482i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.477890 | −0.0485224 | −0.0242612 | − | 0.999706i | \(-0.507723\pi\) | ||||
−0.0242612 | + | 0.999706i | \(0.507723\pi\) | |||||||
\(98\) | −3.22755 | + | 9.35857i | −0.326032 | + | 0.945359i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.78010 | − | 4.68708i | 0.778010 | − | 0.468708i | ||||
\(101\) | 11.4161 | − | 6.59108i | 1.13594 | − | 0.655837i | 0.190520 | − | 0.981683i | \(-0.438982\pi\) |
0.945423 | + | 0.325846i | \(0.105649\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.808712 | + | 1.40073i | −0.0796848 | + | 0.138018i | −0.903114 | − | 0.429401i | \(-0.858725\pi\) |
0.823429 | + | 0.567419i | \(0.192058\pi\) | |||||||
\(104\) | −2.63149 | − | 2.48848i | −0.258038 | − | 0.244015i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.77617 | − | 2.00623i | −0.755288 | − | 0.194862i | ||||
\(107\) | 9.65085 | + | 5.57192i | 0.932983 | + | 0.538658i | 0.887754 | − | 0.460319i | \(-0.152265\pi\) |
0.0452293 | + | 0.998977i | \(0.485598\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.49609 | − | 2.01847i | 0.334865 | − | 0.193334i | −0.323134 | − | 0.946353i | \(-0.604736\pi\) |
0.657999 | + | 0.753019i | \(0.271403\pi\) | |||||||
\(110\) | 1.14211 | + | 1.12104i | 0.108895 | + | 0.106887i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.15150 | − | 5.31507i | −0.864736 | − | 0.502227i | ||||
\(113\) | −20.3522 | −1.91458 | −0.957288 | − | 0.289137i | \(-0.906632\pi\) | ||||
−0.957288 | + | 0.289137i | \(0.906632\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.149849 | − | 0.0865155i | 0.0139735 | − | 0.00806761i | ||||
\(116\) | 12.5476 | − | 0.233613i | 1.16502 | − | 0.0216905i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 13.8211 | + | 3.56580i | 1.27233 | + | 0.328258i | ||||
\(119\) | −0.670187 | + | 16.8275i | −0.0614359 | + | 1.54257i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.10371 | + | 7.10784i | −0.373065 | + | 0.646167i | ||||
\(122\) | −5.77421 | − | 20.7742i | −0.522773 | − | 1.88081i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.34482 | + | 4.42484i | −0.659584 | + | 0.397363i | ||||
\(125\) | 6.46119i | 0.577907i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.3981 | −1.36636 | −0.683181 | − | 0.730249i | \(-0.739404\pi\) | ||||
−0.683181 | + | 0.730249i | \(0.739404\pi\) | |||||||
\(128\) | 7.46214 | − | 8.50390i | 0.659567 | − | 0.751646i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.18149 | − | 0.328396i | 0.103624 | − | 0.0288023i | ||||
\(131\) | −1.96999 | − | 1.13738i | −0.172119 | − | 0.0993730i | 0.411466 | − | 0.911425i | \(-0.365017\pi\) |
−0.583585 | + | 0.812052i | \(0.698350\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.13922 | + | 5.97444i | 0.272205 | + | 0.518050i | ||||
\(134\) | 21.5985 | + | 5.57237i | 1.86583 | + | 0.481379i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −17.5135 | − | 4.17232i | −1.50177 | − | 0.357774i | ||||
\(137\) | −3.42016 | − | 5.92390i | −0.292204 | − | 0.506113i | 0.682126 | − | 0.731234i | \(-0.261055\pi\) |
−0.974331 | + | 0.225122i | \(0.927722\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.65594i | 0.649369i | 0.945822 | + | 0.324684i | \(0.105258\pi\) | ||||
−0.945822 | + | 0.324684i | \(0.894742\pi\) | |||||||
\(140\) | 3.14046 | − | 1.72548i | 0.265417 | − | 0.145829i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.53776 | + | 5.43562i | 0.464719 | + | 0.456147i | ||||
\(143\) | −1.06991 | − | 1.85314i | −0.0894706 | − | 0.154968i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.12459 | + | 3.67990i | −0.176438 | + | 0.305599i | ||||
\(146\) | 1.01227 | − | 3.92357i | 0.0837761 | − | 0.324717i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.28255 | − | 11.3652i | 0.516423 | − | 0.934211i | ||||
\(149\) | −11.6538 | − | 6.72830i | −0.954714 | − | 0.551204i | −0.0601715 | − | 0.998188i | \(-0.519165\pi\) |
−0.894542 | + | 0.446984i | \(0.852498\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.92722 | − | 13.7303i | −0.645108 | − | 1.11736i | −0.984277 | − | 0.176634i | \(-0.943479\pi\) |
0.339169 | − | 0.940726i | \(-0.389854\pi\) | |||||||
\(152\) | −6.91426 | + | 2.06122i | −0.560821 | + | 0.167187i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.28444 | − | 4.55408i | −0.345250 | − | 0.366978i | ||||
\(155\) | − | 2.90328i | − | 0.233197i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.5037 | − | 6.06431i | 0.838286 | − | 0.483985i | −0.0183949 | − | 0.999831i | \(-0.505856\pi\) |
0.856681 | + | 0.515846i | \(0.172522\pi\) | |||||||
\(158\) | 16.6103 | − | 4.61685i | 1.32145 | − | 0.367297i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.16252 | + | 3.65000i | 0.0919051 | + | 0.288558i | ||||
\(161\) | −0.598458 | + | 0.314454i | −0.0471651 | + | 0.0247825i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 17.6931 | + | 10.2151i | 1.38583 | + | 0.800112i | 0.992843 | − | 0.119430i | \(-0.0381068\pi\) |
0.392992 | + | 0.919542i | \(0.371440\pi\) | |||||||
\(164\) | 0.239437 | + | 12.8604i | 0.0186969 | + | 1.00423i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.55993 | + | 7.70199i | −0.586764 | + | 0.597790i | ||||
\(167\) | −5.90808 | −0.457181 | −0.228591 | − | 0.973523i | \(-0.573412\pi\) | ||||
−0.228591 | + | 0.973523i | \(0.573412\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.3603 | 0.873873 | ||||||||
\(170\) | 4.27006 | − | 4.35030i | 0.327498 | − | 0.333653i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.9741 | + | 0.204318i | −0.836771 | + | 0.0155791i | ||||
\(173\) | −3.75589 | − | 2.16847i | −0.285555 | − | 0.164865i | 0.350380 | − | 0.936608i | \(-0.386052\pi\) |
−0.635936 | + | 0.771742i | \(0.719386\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.478161 | − | 12.0060i | 0.0361456 | − | 0.907568i | ||||
\(176\) | 5.66044 | − | 3.55536i | 0.426672 | − | 0.267996i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.27561 | − | 2.57816i | 0.695236 | − | 0.193241i | ||||
\(179\) | −5.46686 | + | 3.15629i | −0.408612 | + | 0.235912i | −0.690193 | − | 0.723625i | \(-0.742475\pi\) |
0.281581 | + | 0.959537i | \(0.409141\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.0671i | 0.896938i | 0.893798 | + | 0.448469i | \(0.148031\pi\) | ||||
−0.893798 | + | 0.448469i | \(0.851969\pi\) | |||||||
\(182\) | −4.66356 | + | 1.09835i | −0.345686 | + | 0.0814149i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.206472 | − | 0.692599i | −0.0152213 | − | 0.0510591i | ||||
\(185\) | 2.19845 | + | 3.80782i | 0.161633 | + | 0.279957i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.21187 | − | 5.31848i | −0.673639 | − | 0.388925i | ||||
\(188\) | 16.5726 | + | 9.16115i | 1.20868 | + | 0.668145i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.610274 | − | 2.36543i | 0.0442739 | − | 0.171606i | ||||
\(191\) | −3.97889 | + | 6.89164i | −0.287902 | + | 0.498662i | −0.973309 | − | 0.229499i | \(-0.926291\pi\) |
0.685406 | + | 0.728161i | \(0.259625\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.07064 | − | 5.31851i | −0.221030 | − | 0.382835i | 0.734091 | − | 0.679051i | \(-0.237608\pi\) |
−0.955121 | + | 0.296216i | \(0.904275\pi\) | |||||||
\(194\) | −0.482317 | − | 0.473421i | −0.0346284 | − | 0.0339896i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.5285 | + | 6.24791i | −0.894894 | + | 0.446279i | ||||
\(197\) | 15.1633i | 1.08034i | 0.841556 | + | 0.540170i | \(0.181640\pi\) | ||||
−0.841556 | + | 0.540170i | \(0.818360\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.02616 | + | 12.1697i | 0.498071 | + | 0.862685i | 0.999998 | − | 0.00222556i | \(-0.000708420\pi\) |
−0.501926 | + | 0.864910i | \(0.667375\pi\) | |||||||
\(200\) | 12.4954 | + | 2.97685i | 0.883560 | + | 0.210495i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 18.0513 | + | 4.65719i | 1.27009 | + | 0.327679i | ||||
\(203\) | 8.86648 | − | 14.0359i | 0.622305 | − | 0.985124i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.77164 | − | 2.17755i | −0.263422 | − | 0.152087i | ||||
\(206\) | −2.20384 | + | 0.612558i | −0.153549 | + | 0.0426789i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.190657 | − | 5.11841i | −0.0132197 | − | 0.354898i | ||||
\(209\) | −4.26276 | −0.294861 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.2832i | 0.707926i | 0.935259 | + | 0.353963i | \(0.115166\pi\) | ||||
−0.935259 | + | 0.353963i | \(0.884834\pi\) | |||||||
\(212\) | −5.86074 | − | 9.72827i | −0.402517 | − | 0.668140i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.22044 | + | 15.1841i | 0.288504 | + | 1.03797i | ||||
\(215\) | 1.85817 | − | 3.21844i | 0.126726 | − | 0.219496i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.451409 | + | 11.3343i | −0.0306436 | + | 0.769421i | ||||
\(218\) | 5.52807 | + | 1.42623i | 0.374408 | + | 0.0965964i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0421301 | + | 2.26285i | 0.00284041 | + | 0.152561i | ||||
\(221\) | −7.05865 | + | 4.07531i | −0.474816 | + | 0.274135i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.55799 | 0.640050 | 0.320025 | − | 0.947409i | \(-0.396309\pi\) | ||||
0.320025 | + | 0.947409i | \(0.396309\pi\) | |||||||
\(224\) | −3.97091 | − | 14.4302i | −0.265318 | − | 0.964161i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −20.5408 | − | 20.1619i | −1.36635 | − | 1.34115i | ||||
\(227\) | −23.7134 | + | 13.6909i | −1.57391 | + | 0.908700i | −0.578232 | + | 0.815872i | \(0.696257\pi\) |
−0.995682 | + | 0.0928278i | \(0.970409\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.2388 | − | 5.91138i | −0.676599 | − | 0.390635i | 0.121973 | − | 0.992533i | \(-0.461078\pi\) |
−0.798573 | + | 0.601899i | \(0.794411\pi\) | |||||||
\(230\) | 0.236944 | + | 0.0611309i | 0.0156236 | + | 0.00403085i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 12.8953 | + | 12.1945i | 0.846617 | + | 0.800608i | ||||
\(233\) | 4.82097 | − | 8.35017i | 0.315833 | − | 0.547038i | −0.663782 | − | 0.747926i | \(-0.731050\pi\) |
0.979614 | + | 0.200889i | \(0.0643829\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.55252 | + | 3.20575i | −0.362207 | + | 0.209120i | ||||
\(236\) | 10.4167 | + | 17.2907i | 0.678066 | + | 1.12553i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −17.3465 | + | 16.3195i | −1.12441 | + | 1.05784i | ||||
\(239\) | −14.9633 | −0.967893 | −0.483947 | − | 0.875098i | \(-0.660797\pi\) | ||||
−0.483947 | + | 0.875098i | \(0.660797\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.68537 | − | 9.84735i | −0.366227 | − | 0.634324i | 0.622745 | − | 0.782425i | \(-0.286017\pi\) |
−0.988972 | + | 0.148101i | \(0.952684\pi\) | |||||||
\(242\) | −11.1831 | + | 3.10835i | −0.718877 | + | 0.199812i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 14.7523 | − | 26.6869i | 0.944417 | − | 1.70845i | ||||
\(245\) | 0.376977 | − | 4.72519i | 0.0240842 | − | 0.301881i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.63318 | + | 2.82876i | −0.103917 | + | 0.179990i | ||||
\(248\) | −11.7963 | − | 2.81030i | −0.749068 | − | 0.178454i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.40077 | + | 6.52105i | −0.404821 | + | 0.412428i | ||||
\(251\) | 3.75699i | 0.237139i | 0.992946 | + | 0.118570i | \(0.0378309\pi\) | ||||
−0.992946 | + | 0.118570i | \(0.962169\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 0.426999i | − | 0.0268452i | ||||||
\(254\) | −15.5408 | − | 15.2541i | −0.975115 | − | 0.957129i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.9557 | − | 1.19032i | 0.997229 | − | 0.0743953i | ||||
\(257\) | −4.99709 | + | 8.65522i | −0.311710 | + | 0.539898i | −0.978733 | − | 0.205140i | \(-0.934235\pi\) |
0.667023 | + | 0.745037i | \(0.267568\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.99061 | − | 15.2074i | −0.496513 | − | 0.944944i | ||||
\(260\) | 1.51776 | + | 0.839004i | 0.0941277 | + | 0.0520328i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.861504 | − | 3.09948i | −0.0532239 | − | 0.191487i | ||||
\(263\) | −7.55841 | − | 13.0915i | −0.466071 | − | 0.807259i | 0.533178 | − | 0.846003i | \(-0.320998\pi\) |
−0.999249 | + | 0.0387438i | \(0.987664\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.84541 | 0.236222 | ||||||||
\(266\) | −2.75027 | + | 9.13966i | −0.168630 | + | 0.560388i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 16.2784 | + | 27.0206i | 0.994361 | + | 1.65054i | ||||
\(269\) | 8.17624 | − | 4.72055i | 0.498514 | − | 0.287817i | −0.229586 | − | 0.973288i | \(-0.573737\pi\) |
0.728100 | + | 0.685471i | \(0.240404\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.43032 | + | 14.6017i | −0.512106 | + | 0.886993i | 0.487796 | + | 0.872958i | \(0.337801\pi\) |
−0.999902 | + | 0.0140351i | \(0.995532\pi\) | |||||||
\(272\) | −13.5424 | − | 21.5607i | −0.821131 | − | 1.30731i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.41665 | − | 9.36696i | 0.145995 | − | 0.565879i | ||||
\(275\) | 6.57244 | + | 3.79460i | 0.396333 | + | 0.228823i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.77929 | + | 4.49138i | −0.467412 | + | 0.269861i | −0.715156 | − | 0.698965i | \(-0.753644\pi\) |
0.247744 | + | 0.968826i | \(0.420311\pi\) | |||||||
\(278\) | −7.58435 | + | 7.72687i | −0.454879 | + | 0.463427i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.87889 | + | 1.36963i | 0.291570 | + | 0.0818510i | ||||
\(281\) | −22.6784 | −1.35288 | −0.676439 | − | 0.736498i | \(-0.736478\pi\) | ||||
−0.676439 | + | 0.736498i | \(0.736478\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.0874 | + | 9.28805i | −0.956296 | + | 0.552118i | −0.895031 | − | 0.446004i | \(-0.852847\pi\) |
−0.0612647 | + | 0.998122i | \(0.519513\pi\) | |||||||
\(284\) | 0.204278 | + | 10.9720i | 0.0121217 | + | 0.651066i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.755989 | − | 2.93022i | 0.0447026 | − | 0.173268i | ||||
\(287\) | 14.3858 | + | 9.08752i | 0.849164 | + | 0.536419i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −11.7582 | + | 20.3657i | −0.691656 | + | 1.19798i | ||||
\(290\) | −5.78976 | + | 1.60927i | −0.339986 | + | 0.0944995i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.90853 | − | 2.95711i | 0.287250 | − | 0.173052i | ||||
\(293\) | 15.5621i | 0.909145i | 0.890710 | + | 0.454573i | \(0.150208\pi\) | ||||
−0.890710 | + | 0.454573i | \(0.849792\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.83469 | −0.397931 | ||||||||
\(296\) | 17.5997 | − | 5.24666i | 1.02296 | − | 0.304956i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.09634 | − | 18.3354i | −0.295223 | − | 1.06214i | ||||
\(299\) | −0.283356 | − | 0.163595i | −0.0163869 | − | 0.00946097i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.75463 | + | 12.2758i | −0.446970 | + | 0.707563i | ||||
\(302\) | 5.60129 | − | 21.7106i | 0.322318 | − | 1.24931i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −9.02026 | − | 4.76929i | −0.517348 | − | 0.273537i | ||||
\(305\) | 5.16224 | + | 8.94127i | 0.295589 | + | 0.511976i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 28.8304i | − | 1.64544i | −0.568450 | − | 0.822718i | \(-0.692457\pi\) | ||
0.568450 | − | 0.822718i | \(-0.307543\pi\) | |||||||
\(308\) | 0.187360 | − | 8.84064i | 0.0106758 | − | 0.503742i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.87613 | − | 2.93017i | 0.163353 | − | 0.166423i | ||||
\(311\) | −6.03436 | − | 10.4518i | −0.342177 | − | 0.592668i | 0.642660 | − | 0.766152i | \(-0.277831\pi\) |
−0.984837 | + | 0.173484i | \(0.944498\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.5841 | − | 25.2604i | 0.824343 | − | 1.42780i | −0.0780780 | − | 0.996947i | \(-0.524878\pi\) |
0.902421 | − | 0.430856i | \(-0.141788\pi\) | |||||||
\(314\) | 16.6086 | + | 4.28498i | 0.937278 | + | 0.241815i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 21.3379 | + | 11.7954i | 1.20035 | + | 0.663542i | ||||
\(317\) | 15.1594 | + | 8.75226i | 0.851435 | + | 0.491576i | 0.861135 | − | 0.508377i | \(-0.169754\pi\) |
−0.00969989 | + | 0.999953i | \(0.503088\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.24298 | + | 9.08111i | 0.293551 | + | 0.508445i | ||||
\(320\) | −2.44259 | + | 4.83547i | −0.136545 | + | 0.270311i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.915516 | − | 0.275494i | −0.0510197 | − | 0.0153527i | ||||
\(323\) | 16.2369i | 0.903447i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.03617 | − | 2.90763i | 0.279356 | − | 0.161286i | ||||
\(326\) | 7.73745 | + | 27.8375i | 0.428538 | + | 1.54178i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −12.4985 | + | 13.2168i | −0.690114 | + | 0.729773i | ||||
\(329\) | 22.1753 | − | 11.6518i | 1.22256 | − | 0.642386i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.01090 | + | 0.583642i | 0.0555640 | + | 0.0320799i | 0.527525 | − | 0.849540i | \(-0.323120\pi\) |
−0.471961 | + | 0.881620i | \(0.656454\pi\) | |||||||
\(332\) | −15.2599 | + | 0.284112i | −0.837498 | + | 0.0155927i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −5.96282 | − | 5.85283i | −0.326271 | − | 0.320253i | ||||
\(335\) | −10.6807 | −0.583552 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.0399 | −0.764801 | −0.382400 | − | 0.923997i | \(-0.624903\pi\) | ||||
−0.382400 | + | 0.923997i | \(0.624903\pi\) | |||||||
\(338\) | 11.4656 | + | 11.2541i | 0.623646 | + | 0.612143i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 8.61923 | − | 0.160474i | 0.467444 | − | 0.00870294i | ||||
\(341\) | −6.20472 | − | 3.58230i | −0.336004 | − | 0.193992i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.20639 | + | 18.3884i | −0.119134 | + | 0.992878i | ||||
\(344\) | −11.2782 | − | 10.6653i | −0.608081 | − | 0.575035i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.64250 | − | 5.90933i | −0.0883015 | − | 0.317688i | ||||
\(347\) | 17.6542 | − | 10.1926i | 0.947725 | − | 0.547169i | 0.0553515 | − | 0.998467i | \(-0.482372\pi\) |
0.892373 | + | 0.451298i | \(0.149039\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.5765i | 0.887321i | 0.896195 | + | 0.443661i | \(0.146320\pi\) | ||||
−0.896195 | + | 0.443661i | \(0.853680\pi\) | |||||||
\(350\) | 12.3763 | − | 11.6435i | 0.661542 | − | 0.622373i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 9.23500 | + | 2.01920i | 0.492227 | + | 0.107624i | ||||
\(353\) | 13.0736 | + | 22.6441i | 0.695835 | + | 1.20522i | 0.969898 | + | 0.243510i | \(0.0782988\pi\) |
−0.274063 | + | 0.961712i | \(0.588368\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.21780 | − | 1.85780i | −0.170783 | − | 0.0986016i | ||||
\(356\) | 11.9156 | + | 6.58682i | 0.631525 | + | 0.349101i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.64428 | − | 2.23020i | −0.456865 | − | 0.117870i | ||||
\(359\) | −0.287276 | + | 0.497577i | −0.0151619 | + | 0.0262611i | −0.873507 | − | 0.486812i | \(-0.838160\pi\) |
0.858345 | + | 0.513073i | \(0.171493\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.24652 | − | 10.8193i | −0.328764 | − | 0.569437i | ||||
\(362\) | −11.9542 | + | 12.1789i | −0.628300 | + | 0.640107i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.79484 | − | 3.51143i | −0.303732 | − | 0.184049i | ||||
\(365\) | 1.94025i | 0.101557i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.75576 | + | 16.8975i | 0.509247 | + | 0.882041i | 0.999943 | + | 0.0107103i | \(0.00340926\pi\) |
−0.490696 | + | 0.871331i | \(0.663257\pi\) | |||||||
\(368\) | 0.477738 | − | 0.903556i | 0.0249038 | − | 0.0471011i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.55340 | + | 6.02099i | −0.0807574 | + | 0.313016i | ||||
\(371\) | −15.0124 | − | 0.597895i | −0.779403 | − | 0.0310412i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.0833 | + | 9.86307i | 0.884542 | + | 0.510691i | 0.872153 | − | 0.489233i | \(-0.162723\pi\) |
0.0123886 | + | 0.999923i | \(0.496056\pi\) | |||||||
\(374\) | −4.02847 | − | 14.4935i | −0.208307 | − | 0.749440i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.65062 | + | 25.6636i | 0.394551 | + | 1.32350i | ||||
\(377\) | 8.03494 | 0.413820 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.5970i | 0.544329i | 0.962251 | + | 0.272165i | \(0.0877395\pi\) | ||||
−0.962251 | + | 0.272165i | \(0.912260\pi\) | |||||||
\(380\) | 2.95924 | − | 1.78277i | 0.151806 | − | 0.0914544i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.8430 | + | 3.01381i | −0.554774 | + | 0.154200i | ||||
\(383\) | 9.60971 | − | 16.6445i | 0.491033 | − | 0.850494i | −0.508913 | − | 0.860818i | \(-0.669953\pi\) |
0.999947 | + | 0.0103232i | \(0.00328603\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.53124 | + | 1.59899i | 0.129004 | + | 0.0814922i | ||||
\(386\) | 2.16969 | − | 8.40972i | 0.110434 | − | 0.428043i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.0177918 | − | 0.955614i | −0.000903241 | − | 0.0485139i | ||||
\(389\) | 22.0860 | − | 12.7513i | 1.11980 | − | 0.646519i | 0.178453 | − | 0.983948i | \(-0.442891\pi\) |
0.941351 | + | 0.337429i | \(0.109557\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.62645 | −0.0822529 | ||||||||
\(392\) | −18.8341 | − | 6.10556i | −0.951264 | − | 0.308378i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −15.0215 | + | 15.3038i | −0.756772 | + | 0.770993i | ||||
\(395\) | −7.14911 | + | 4.12754i | −0.359711 | + | 0.207679i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.7354 | + | 16.0130i | 1.39200 | + | 0.803671i | 0.993536 | − | 0.113514i | \(-0.0362108\pi\) |
0.398462 | + | 0.917185i | \(0.369544\pi\) | |||||||
\(398\) | −4.96461 | + | 19.2429i | −0.248854 | + | 0.964558i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 9.66218 | + | 15.3830i | 0.483109 | + | 0.769150i | ||||
\(401\) | −11.9637 | + | 20.7217i | −0.597437 | + | 1.03479i | 0.395761 | + | 0.918354i | \(0.370481\pi\) |
−0.993198 | + | 0.116438i | \(0.962852\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.75441 | + | 2.74496i | −0.236834 | + | 0.136736i | ||||
\(404\) | 13.6049 | + | 22.5828i | 0.676869 | + | 1.12354i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 22.8532 | − | 5.38232i | 1.13419 | − | 0.267120i | ||||
\(407\) | 10.8505 | 0.537839 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.45748 | − | 11.1847i | −0.319302 | − | 0.553047i | 0.661041 | − | 0.750350i | \(-0.270115\pi\) |
−0.980343 | + | 0.197303i | \(0.936782\pi\) | |||||||
\(410\) | −1.64939 | − | 5.93409i | −0.0814574 | − | 0.293064i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.83108 | − | 1.56499i | −0.139477 | − | 0.0771018i | ||||
\(413\) | 26.6824 | + | 1.06268i | 1.31295 | + | 0.0522908i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.58385 | − | 4.47536i | 0.126836 | − | 0.219687i | ||||
\(416\) | 4.87812 | − | 5.35471i | 0.239170 | − | 0.262536i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.30226 | − | 4.22290i | −0.210430 | − | 0.206549i | ||||
\(419\) | − | 32.2474i | − | 1.57539i | −0.616066 | − | 0.787694i | \(-0.711275\pi\) | ||
0.616066 | − | 0.787694i | \(-0.288725\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 28.8215i | − | 1.40468i | −0.711844 | − | 0.702338i | \(-0.752140\pi\) | ||
0.711844 | − | 0.702338i | \(-0.247860\pi\) | |||||||
\(422\) | −10.1871 | + | 10.3785i | −0.495898 | + | 0.505217i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.72226 | − | 15.6243i | 0.180769 | − | 0.758785i | ||||
\(425\) | 14.4537 | − | 25.0345i | 0.701106 | − | 1.21435i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.7630 | − | 35.7090i | −0.908005 | − | 1.72808i | ||||
\(428\) | −10.7826 | + | 19.5058i | −0.521197 | + | 0.942848i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.06373 | − | 1.40747i | 0.244195 | − | 0.0678741i | ||||
\(431\) | −3.74266 | − | 6.48247i | −0.180277 | − | 0.312250i | 0.761698 | − | 0.647933i | \(-0.224366\pi\) |
−0.941975 | + | 0.335683i | \(0.891033\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.02754 | 0.241608 | 0.120804 | − | 0.992676i | \(-0.461453\pi\) | ||||
0.120804 | + | 0.992676i | \(0.461453\pi\) | |||||||
\(434\) | −11.6839 | + | 10.9921i | −0.560845 | + | 0.527638i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.16640 | + | 6.91582i | 0.199534 | + | 0.331208i | ||||
\(437\) | −0.564475 | + | 0.325900i | −0.0270025 | + | 0.0155899i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 17.3143 | − | 29.9892i | 0.826365 | − | 1.43131i | −0.0745068 | − | 0.997221i | \(-0.523738\pi\) |
0.900872 | − | 0.434086i | \(-0.142928\pi\) | |||||||
\(440\) | −2.19917 | + | 2.32555i | −0.104841 | + | 0.110866i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.1613 | − | 2.87957i | −0.530887 | − | 0.136967i | ||||
\(443\) | −5.45067 | − | 3.14695i | −0.258969 | − | 0.149516i | 0.364895 | − | 0.931049i | \(-0.381105\pi\) |
−0.623864 | + | 0.781533i | \(0.714438\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.99224 | + | 2.30492i | −0.189250 | + | 0.109264i | ||||
\(446\) | 9.64654 | + | 9.46861i | 0.456777 | + | 0.448352i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 10.2876 | − | 18.4977i | 0.486043 | − | 0.873935i | ||||
\(449\) | −1.86843 | −0.0881767 | −0.0440883 | − | 0.999028i | \(-0.514038\pi\) | ||||
−0.0440883 | + | 0.999028i | \(0.514038\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.30750 | + | 5.37369i | −0.438273 | + | 0.253037i | ||||
\(452\) | −0.757711 | − | 40.6974i | −0.0356397 | − | 1.91424i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −37.4960 | − | 9.67388i | −1.75978 | − | 0.454018i | ||||
\(455\) | 2.03088 | − | 1.06711i | 0.0952090 | − | 0.0500268i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.4603 | − | 21.5819i | 0.582868 | − | 1.00956i | −0.412270 | − | 0.911062i | \(-0.635264\pi\) |
0.995138 | − | 0.0984951i | \(-0.0314029\pi\) | |||||||
\(458\) | −4.47757 | − | 16.1092i | −0.209223 | − | 0.752734i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.178580 | + | 0.296426i | 0.00832633 | + | 0.0138209i | ||||
\(461\) | − | 5.04894i | − | 0.235153i | −0.993064 | − | 0.117576i | \(-0.962488\pi\) | ||
0.993064 | − | 0.117576i | \(-0.0375125\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.4016 | −0.669298 | −0.334649 | − | 0.942343i | \(-0.608618\pi\) | ||||
−0.334649 | + | 0.942343i | \(0.608618\pi\) | |||||||
\(464\) | 0.934292 | + | 25.0822i | 0.0433734 | + | 1.16441i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 13.1377 | − | 3.65164i | 0.608593 | − | 0.169159i | ||||
\(467\) | −26.9344 | − | 15.5506i | −1.24637 | − | 0.719595i | −0.275990 | − | 0.961160i | \(-0.589006\pi\) |
−0.970384 | + | 0.241566i | \(0.922339\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 41.6973 | + | 1.66067i | 1.92540 | + | 0.0766827i | ||||
\(470\) | −8.77974 | − | 2.26515i | −0.404979 | − | 0.104484i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.61580 | + | 27.7701i | −0.304517 | + | 1.27822i | ||||
\(473\) | −4.58552 | − | 7.94235i | −0.210842 | − | 0.365189i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 11.5846i | − | 0.531539i | ||||||
\(476\) | −33.6741 | − | 0.713655i | −1.54345 | − | 0.0327103i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −15.1019 | − | 14.8233i | −0.690744 | − | 0.678004i | ||||
\(479\) | 14.3914 | + | 24.9267i | 0.657561 | + | 1.13893i | 0.981245 | + | 0.192764i | \(0.0617453\pi\) |
−0.323684 | + | 0.946165i | \(0.604921\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.15713 | − | 7.20036i | 0.189549 | − | 0.328308i | ||||
\(482\) | 4.01722 | − | 15.5708i | 0.182980 | − | 0.709230i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.3660 | − | 7.94138i | −0.653000 | − | 0.360972i | ||||
\(485\) | 0.280258 | + | 0.161807i | 0.0127258 | + | 0.00734727i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.12575 | + | 5.41395i | 0.141641 | + | 0.245330i | 0.928115 | − | 0.372294i | \(-0.121429\pi\) |
−0.786474 | + | 0.617624i | \(0.788095\pi\) | |||||||
\(488\) | 41.3263 | − | 12.3198i | 1.87075 | − | 0.557693i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.06147 | − | 4.39551i | 0.228654 | − | 0.198569i | ||||
\(491\) | 5.41504i | 0.244377i | 0.992507 | + | 0.122189i | \(0.0389913\pi\) | ||||
−0.992507 | + | 0.122189i | \(0.961009\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 34.5901 | − | 19.9706i | 1.55786 | − | 0.899430i | ||||
\(494\) | −4.45062 | + | 1.23705i | −0.200243 | + | 0.0556577i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.12160 | − | 14.5224i | −0.409572 | − | 0.652073i | ||||
\(497\) | 12.2733 | + | 7.75309i | 0.550533 | + | 0.347773i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.92389 | + | 4.57486i | 0.354722 | + | 0.204799i | 0.666763 | − | 0.745270i | \(-0.267679\pi\) |
−0.312041 | + | 0.950069i | \(0.601013\pi\) | |||||||
\(500\) | −12.9201 | + | 0.240550i | −0.577807 | + | 0.0107577i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.72186 | + | 3.79180i | −0.166115 | + | 0.169236i | ||||
\(503\) | 0.361250 | 0.0161073 | 0.00805366 | − | 0.999968i | \(-0.497436\pi\) | ||||
0.00805366 | + | 0.999968i | \(0.497436\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.92659 | −0.397228 | ||||||||
\(506\) | 0.423006 | − | 0.430955i | 0.0188049 | − | 0.0191583i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −0.573270 | − | 30.7909i | −0.0254347 | − | 1.36613i | ||||
\(509\) | −28.3684 | − | 16.3785i | −1.25741 | − | 0.725965i | −0.284838 | − | 0.958576i | \(-0.591940\pi\) |
−0.972570 | + | 0.232610i | \(0.925273\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.301676 | − | 7.57468i | 0.0133453 | − | 0.335084i | ||||
\(512\) | 17.2827 | + | 14.6051i | 0.763794 | + | 0.645461i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −13.6177 | + | 3.78504i | −0.600650 | + | 0.166951i | ||||
\(515\) | 0.948535 | − | 0.547637i | 0.0417975 | − | 0.0241318i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.8221i | 0.695854i | ||||||||
\(518\) | 7.00058 | − | 23.2642i | 0.307588 | − | 1.02217i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.700666 | + | 2.35035i | 0.0307262 | + | 0.103070i | ||||
\(521\) | −10.2681 | − | 17.7848i | −0.449852 | − | 0.779166i | 0.548524 | − | 0.836135i | \(-0.315190\pi\) |
−0.998376 | + | 0.0569688i | \(0.981856\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.2213 | + | 6.47863i | 0.490674 | + | 0.283291i | 0.724854 | − | 0.688902i | \(-0.241907\pi\) |
−0.234180 | + | 0.972193i | \(0.575240\pi\) | |||||||
\(524\) | 2.20102 | − | 3.98165i | 0.0961518 | − | 0.173939i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.34069 | − | 20.7006i | 0.232865 | − | 0.902587i | ||||
\(527\) | −13.6450 | + | 23.6339i | −0.594386 | + | 1.02951i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4674 | + | 19.8620i | 0.498581 | + | 0.863567i | ||||
\(530\) | 3.88104 | + | 3.80945i | 0.168582 | + | 0.165472i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −11.8299 | + | 6.49978i | −0.512893 | + | 0.281801i | ||||
\(533\) | 8.23524i | 0.356708i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.77315 | − | 6.53529i | −0.163127 | − | 0.282545i | ||||
\(536\) | −10.3387 | + | 43.3971i | −0.446564 | + | 1.87447i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12.9284 | + | 3.33549i | 0.557383 | + | 0.143803i | ||||
\(539\) | −9.63327 | − | 6.63598i | −0.414934 | − | 0.285832i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.6933 | − | 15.4114i | −1.14763 | − | 0.662586i | −0.199324 | − | 0.979934i | \(-0.563875\pi\) |
−0.948309 | + | 0.317347i | \(0.897208\pi\) | |||||||
\(542\) | −22.9736 | + | 6.38554i | −0.986802 | + | 0.274282i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 7.69118 | − | 35.1762i | 0.329756 | − | 1.50817i | ||||
\(545\) | −2.73370 | −0.117099 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 12.7122i | − | 0.543537i | −0.962363 | − | 0.271768i | \(-0.912392\pi\) | ||
0.962363 | − | 0.271768i | \(-0.0876084\pi\) | |||||||
\(548\) | 11.7184 | − | 7.05969i | 0.500586 | − | 0.301575i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.87421 | + | 10.3407i | 0.122557 | + | 0.440930i | ||||
\(551\) | 8.00323 | − | 13.8620i | 0.340949 | − | 0.590541i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 28.5517 | − | 15.0022i | 1.21414 | − | 0.637959i | ||||
\(554\) | −12.3007 | − | 3.17356i | −0.522608 | − | 0.134832i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.3092 | + | 0.285030i | −0.649256 | + | 0.0120880i | ||||
\(557\) | −9.04134 | + | 5.22002i | −0.383094 | + | 0.221179i | −0.679164 | − | 0.733987i | \(-0.737657\pi\) |
0.296070 | + | 0.955166i | \(0.404324\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −7.02736 | −0.297226 | ||||||||
\(560\) | 3.56727 | + | 6.21559i | 0.150745 | + | 0.262656i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −22.8885 | − | 22.4663i | −0.965492 | − | 0.947684i | ||||
\(563\) | 11.7680 | − | 6.79424i | 0.495961 | − | 0.286343i | −0.231083 | − | 0.972934i | \(-0.574227\pi\) |
0.727044 | + | 0.686591i | \(0.240894\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 11.9355 | + | 6.89098i | 0.502131 | + | 0.289906i | ||||
\(566\) | −25.4376 | − | 6.56284i | −1.06922 | − | 0.275857i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.6632 | + | 11.2760i | −0.447417 | + | 0.473129i | ||||
\(569\) | 8.55098 | − | 14.8107i | 0.358476 | − | 0.620898i | −0.629231 | − | 0.777219i | \(-0.716630\pi\) |
0.987706 | + | 0.156321i | \(0.0499633\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.502264 | − | 0.289982i | 0.0210191 | − | 0.0121354i | −0.489454 | − | 0.872029i | \(-0.662804\pi\) |
0.510473 | + | 0.859894i | \(0.329470\pi\) | |||||||
\(572\) | 3.66581 | − | 2.20845i | 0.153275 | − | 0.0923398i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.51650 | + | 23.4229i | 0.230254 | + | 0.977655i | ||||
\(575\) | 1.16043 | 0.0483932 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8.40341 | + | 14.5551i | 0.349838 | + | 0.605938i | 0.986221 | − | 0.165436i | \(-0.0529031\pi\) |
−0.636382 | + | 0.771374i | \(0.719570\pi\) | |||||||
\(578\) | −32.0424 | + | 8.90620i | −1.33279 | + | 0.370449i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −7.43762 | − | 4.11144i | −0.308830 | − | 0.170718i | ||||
\(581\) | −10.7831 | + | 17.0699i | −0.447358 | + | 0.708178i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.74478 | − | 8.21820i | 0.196509 | − | 0.340363i | ||||
\(584\) | 7.88346 | + | 1.87812i | 0.326220 | + | 0.0777170i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.4165 | + | 15.7062i | −0.636851 | + | 0.648819i | ||||
\(587\) | − | 25.3598i | − | 1.04671i | −0.852114 | − | 0.523356i | \(-0.824680\pi\) | ||
0.852114 | − | 0.523356i | \(-0.175320\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.9365i | 0.450630i | ||||||||
\(590\) | −6.89801 | − | 6.77077i | −0.283986 | − | 0.278748i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 22.9603 | + | 12.1398i | 0.943663 | + | 0.498943i | ||||
\(593\) | −5.02137 | + | 8.69726i | −0.206203 | + | 0.357154i | −0.950515 | − | 0.310678i | \(-0.899444\pi\) |
0.744312 | + | 0.667832i | \(0.232777\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.09059 | − | 9.64154i | 0.249690 | − | 0.395265i | ||||
\(596\) | 13.0204 | − | 23.5540i | 0.533337 | − | 0.964809i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.123915 | − | 0.445817i | −0.00506727 | − | 0.0182308i | ||||
\(599\) | 1.71260 | + | 2.96631i | 0.0699750 | + | 0.121200i | 0.898890 | − | 0.438174i | \(-0.144375\pi\) |
−0.828915 | + | 0.559374i | \(0.811041\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.842886 | 0.0343820 | 0.0171910 | − | 0.999852i | \(-0.494528\pi\) | ||||
0.0171910 | + | 0.999852i | \(0.494528\pi\) | |||||||
\(602\) | −19.9874 | + | 4.70738i | −0.814628 | + | 0.191858i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 27.1608 | − | 16.3629i | 1.10516 | − | 0.665796i | ||||
\(605\) | 4.81323 | − | 2.77892i | 0.195686 | − | 0.112979i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 2.64017 | − | 4.57291i | 0.107161 | − | 0.185609i | −0.807458 | − | 0.589925i | \(-0.799157\pi\) |
0.914619 | + | 0.404316i | \(0.132491\pi\) | |||||||
\(608\) | −4.37915 | − | 13.7494i | −0.177598 | − | 0.557611i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.64759 | + | 14.1381i | −0.147686 | + | 0.572434i | ||||
\(611\) | 10.4995 | + | 6.06188i | 0.424764 | + | 0.245237i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −27.2280 | + | 15.7201i | −1.09973 | + | 0.634928i | −0.936149 | − | 0.351602i | \(-0.885637\pi\) |
−0.163578 | + | 0.986530i | \(0.552304\pi\) | |||||||
\(614\) | 28.5608 | − | 29.0975i | 1.15262 | − | 1.17428i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.94707 | − | 8.73694i | 0.360488 | − | 0.352021i | ||||
\(617\) | 37.2297 | 1.49881 | 0.749406 | − | 0.662110i | \(-0.230339\pi\) | ||||
0.749406 | + | 0.662110i | \(0.230339\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −28.2967 | + | 16.3371i | −1.13734 | + | 0.656644i | −0.945771 | − | 0.324835i | \(-0.894691\pi\) |
−0.191570 | + | 0.981479i | \(0.561358\pi\) | |||||||
\(620\) | 5.80554 | − | 0.108089i | 0.233156 | − | 0.00434094i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.26382 | − | 16.5266i | 0.170963 | − | 0.662656i | ||||
\(623\) | 15.9439 | − | 8.37760i | 0.638780 | − | 0.335642i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.16593 | + | 15.8758i | −0.366637 | + | 0.635034i | ||||
\(626\) | 39.7434 | − | 11.0467i | 1.58847 | − | 0.441516i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.5176 | + | 20.7780i | 0.499506 | + | 0.829132i | ||||
\(629\) | − | 41.3297i | − | 1.64792i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.95431 | 0.157418 | 0.0787092 | − | 0.996898i | \(-0.474920\pi\) | ||||
0.0787092 | + | 0.996898i | \(0.474920\pi\) | |||||||
\(632\) | 9.85050 | + | 33.0430i | 0.391832 | + | 1.31438i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.62939 | + | 23.8510i | 0.263287 | + | 0.947243i | ||||
\(635\) | 9.03020 | + | 5.21359i | 0.358352 | + | 0.206895i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.09439 | + | 3.85018i | −0.320712 | + | 0.152550i | ||||
\(638\) | −3.70464 | + | 14.3592i | −0.146668 | + | 0.568486i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −7.25546 | + | 2.46052i | −0.286797 | + | 0.0972606i | ||||
\(641\) | −10.8258 | − | 18.7508i | −0.427593 | − | 0.740612i | 0.569066 | − | 0.822292i | \(-0.307305\pi\) |
−0.996659 | + | 0.0816797i | \(0.973972\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 5.48021i | − | 0.216118i | −0.994144 | − | 0.108059i | \(-0.965536\pi\) | ||
0.994144 | − | 0.108059i | \(-0.0344636\pi\) | |||||||
\(644\) | −0.651080 | − | 1.18500i | −0.0256562 | − | 0.0466956i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −16.0851 | + | 16.3874i | −0.632859 | + | 0.644752i | ||||
\(647\) | 15.5285 | + | 26.8961i | 0.610487 | + | 1.05739i | 0.991158 | + | 0.132684i | \(0.0423594\pi\) |
−0.380672 | + | 0.924710i | \(0.624307\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.43319 | + | 14.6067i | −0.331032 | + | 0.573364i | ||||
\(650\) | 7.96327 | + | 2.05450i | 0.312345 | + | 0.0805843i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −19.7680 | + | 35.7605i | −0.774176 | + | 1.40049i | ||||
\(653\) | −10.6381 | − | 6.14194i | −0.416303 | − | 0.240353i | 0.277191 | − | 0.960815i | \(-0.410596\pi\) |
−0.693494 | + | 0.720462i | \(0.743930\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.770199 | + | 1.33402i | 0.0300942 | + | 0.0521246i | ||||
\(656\) | −25.7074 | + | 0.957583i | −1.00371 | + | 0.0373873i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 33.9236 | + | 10.2082i | 1.32248 | + | 0.397956i | ||||
\(659\) | 12.8321i | 0.499869i | 0.968263 | + | 0.249934i | \(0.0804091\pi\) | ||||
−0.968263 | + | 0.249934i | \(0.919591\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.1865 | − | 6.45853i | 0.435104 | − | 0.251208i | −0.266415 | − | 0.963859i | \(-0.585839\pi\) |
0.701519 | + | 0.712651i | \(0.252506\pi\) | |||||||
\(662\) | 0.442079 | + | 1.59049i | 0.0171819 | + | 0.0618163i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −15.6828 | − | 14.8305i | −0.608609 | − | 0.575535i | ||||
\(665\) | 0.181873 | − | 4.56660i | 0.00705274 | − | 0.177085i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.38855 | + | 0.801680i | 0.0537649 | + | 0.0310412i | ||||
\(668\) | −0.219957 | − | 11.8141i | −0.00851040 | − | 0.457102i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −10.7797 | − | 10.5809i | −0.416456 | − | 0.408775i | ||||
\(671\) | 25.4784 | 0.983582 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.52699 | 0.135955 | 0.0679777 | − | 0.997687i | \(-0.478345\pi\) | ||||
0.0679777 | + | 0.997687i | \(0.478345\pi\) | |||||||
\(674\) | −14.1700 | − | 13.9086i | −0.545806 | − | 0.535739i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.422944 | + | 22.7168i | 0.0162671 | + | 0.873721i | ||||
\(677\) | 36.2777 | + | 20.9449i | 1.39427 | + | 0.804979i | 0.993784 | − | 0.111326i | \(-0.0355097\pi\) |
0.400481 | + | 0.916305i | \(0.368843\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.06896 | − | 0.675263i | −0.0410228 | − | 0.0259142i | ||||
\(680\) | 8.85806 | + | 8.37667i | 0.339691 | + | 0.321231i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.71341 | − | 9.76218i | −0.103902 | − | 0.373813i | ||||
\(683\) | −3.08116 | + | 1.77891i | −0.117897 | + | 0.0680680i | −0.557789 | − | 0.829983i | \(-0.688350\pi\) |
0.439892 | + | 0.898051i | \(0.355017\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.63208i | 0.176983i | ||||||||
\(686\) | −20.4432 | + | 16.3730i | −0.780527 | + | 0.625123i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.817132 | − | 21.9369i | −0.0311529 | − | 0.836336i | ||||
\(689\) | −3.63572 | − | 6.29725i | −0.138510 | − | 0.239906i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.16904 | + | 1.82965i | 0.120556 | + | 0.0696031i | 0.559065 | − | 0.829124i | \(-0.311160\pi\) |
−0.438509 | + | 0.898727i | \(0.644493\pi\) | |||||||
\(692\) | 4.19635 | − | 7.59122i | 0.159521 | − | 0.288575i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 27.9150 | + | 7.20201i | 1.05964 | + | 0.273384i | ||||
\(695\) | 2.59220 | − | 4.48981i | 0.0983276 | − | 0.170308i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 20.4685 | + | 35.4524i | 0.775298 | + | 1.34286i | ||||
\(698\) | −16.4215 | + | 16.7301i | −0.621564 | + | 0.633244i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 24.0256 | + | 0.509175i | 0.908084 | + | 0.0192450i | ||||
\(701\) | − | 12.8715i | − | 0.486151i | −0.970007 | − | 0.243076i | \(-0.921844\pi\) | ||
0.970007 | − | 0.243076i | \(-0.0781563\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −8.28145 | − | 14.3439i | −0.312341 | − | 0.540990i | ||||
\(704\) | 7.32023 | + | 11.1865i | 0.275892 | + | 0.421609i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −9.23763 | + | 35.8051i | −0.347663 | + | 1.34754i | ||||
\(707\) | 34.8491 | + | 1.38793i | 1.31064 | + | 0.0521985i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −35.6931 | − | 20.6074i | −1.34048 | − | 0.773929i | −0.353606 | − | 0.935395i | \(-0.615045\pi\) |
−0.986878 | + | 0.161466i | \(0.948378\pi\) | |||||||
\(710\) | −1.40719 | − | 5.06272i | −0.0528107 | − | 0.190000i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.50076 | + | 18.4520i | 0.206150 | + | 0.691518i | ||||
\(713\) | −1.09550 | −0.0410270 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.44903i | 0.0541907i | ||||||||
\(716\) | −6.51502 | − | 10.8143i | −0.243478 | − | 0.404150i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.782862 | + | 0.217597i | −0.0292161 | + | 0.00812065i | ||||
\(719\) | −14.3208 | + | 24.8044i | −0.534078 | + | 0.925049i | 0.465130 | + | 0.885242i | \(0.346008\pi\) |
−0.999207 | + | 0.0398069i | \(0.987326\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.78820 | + | 1.99048i | −0.141080 | + | 0.0741292i | ||||
\(722\) | 4.41373 | − | 17.1076i | 0.164262 | − | 0.636680i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −24.1300 | + | 0.449256i | −0.896783 | + | 0.0166965i | ||||
\(725\) | −24.6791 | + | 14.2485i | −0.916561 | + | 0.529177i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −47.0440 | −1.74476 | −0.872382 | − | 0.488825i | \(-0.837426\pi\) | ||||
−0.872382 | + | 0.488825i | \(0.837426\pi\) | |||||||
\(728\) | −2.36994 | − | 9.28462i | −0.0878357 | − | 0.344111i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.92211 | + | 1.95823i | −0.0711404 | + | 0.0724773i | ||||
\(731\) | −30.2525 | + | 17.4663i | −1.11893 | + | 0.646014i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.60577 | − | 4.39119i | −0.280926 | − | 0.162192i | 0.352917 | − | 0.935655i | \(-0.385190\pi\) |
−0.633842 | + | 0.773462i | \(0.718523\pi\) | |||||||
\(734\) | −6.89332 | + | 26.7186i | −0.254437 | + | 0.986200i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.37727 | − | 0.438657i | 0.0507669 | − | 0.0161691i | ||||
\(737\) | −13.1788 | + | 22.8263i | −0.485446 | + | 0.840818i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.6962 | + | 12.5263i | −0.798106 | + | 0.460787i | −0.842808 | − | 0.538214i | \(-0.819099\pi\) |
0.0447026 | + | 0.999000i | \(0.485766\pi\) | |||||||
\(740\) | −7.53248 | + | 4.53790i | −0.276899 | + | 0.166816i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −14.5591 | − | 15.4754i | −0.534483 | − | 0.568120i | ||||
\(743\) | 10.2336 | 0.375433 | 0.187717 | − | 0.982223i | \(-0.439891\pi\) | ||||
0.187717 | + | 0.982223i | \(0.439891\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.55622 | + | 7.89160i | 0.166927 | + | 0.289126i | ||||
\(746\) | 7.47077 | + | 26.8780i | 0.273524 | + | 0.984075i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.2922 | − | 18.6186i | 0.376318 | − | 0.680762i | ||||
\(749\) | 13.7141 | + | 26.1002i | 0.501103 | + | 0.953680i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.1843 | + | 28.0320i | −0.590573 | + | 1.02290i | 0.403583 | + | 0.914943i | \(0.367765\pi\) |
−0.994155 | + | 0.107959i | \(0.965569\pi\) | |||||||
\(752\) | −17.7021 | + | 33.4805i | −0.645530 | + | 1.22091i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 8.10938 | + | 7.95980i | 0.295326 | + | 0.289879i | ||||
\(755\) | 10.7362i | 0.390730i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.13921i | 0.186788i | 0.995629 | + | 0.0933940i | \(0.0297716\pi\) | ||||
−0.995629 | + | 0.0933940i | \(0.970228\pi\) | |||||||
\(758\) | −10.4979 | + | 10.6951i | −0.381300 | + | 0.388465i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.75276 | + | 1.13227i | 0.172401 | + | 0.0410718i | ||||
\(761\) | 8.46993 | − | 14.6704i | 0.307035 | − | 0.531800i | −0.670677 | − | 0.741749i | \(-0.733997\pi\) |
0.977712 | + | 0.209949i | \(0.0673299\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.6723 | + | 0.425043i | 0.386362 | + | 0.0153876i | ||||
\(764\) | −13.9290 | − | 7.69983i | −0.503935 | − | 0.278570i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 26.1876 | − | 7.27886i | 0.946196 | − | 0.262996i | ||||
\(767\) | 6.46198 | + | 11.1925i | 0.233329 | + | 0.404137i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.2421 | −0.802071 | −0.401036 | − | 0.916062i | \(-0.631350\pi\) | ||||
−0.401036 | + | 0.916062i | \(0.631350\pi\) | |||||||
\(770\) | 0.970654 | + | 4.12138i | 0.0349799 | + | 0.148524i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.5209 | − | 6.33823i | 0.378654 | − | 0.228118i | ||||
\(773\) | 38.1492 | − | 22.0255i | 1.37213 | − | 0.792201i | 0.380936 | − | 0.924601i | \(-0.375602\pi\) |
0.991196 | + | 0.132400i | \(0.0422683\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.73537 | − | 16.8622i | 0.349705 | − | 0.605707i | ||||
\(776\) | 0.928721 | − | 0.982093i | 0.0333391 | − | 0.0352551i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 34.9227 | + | 9.00997i | 1.25204 | + | 0.323023i | ||||
\(779\) | 14.2076 | + | 8.20274i | 0.509039 | + | 0.293894i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.94076 | + | 4.58460i | −0.284143 | + | 0.164050i | ||||
\(782\) | −1.64151 | − | 1.61124i | −0.0587004 | − | 0.0576177i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −12.9601 | − | 24.8201i | −0.462860 | − | 0.886431i | ||||
\(785\) | −8.21317 | −0.293140 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.7752 | + | 12.5719i | −0.776202 | + | 0.448140i | −0.835082 | − | 0.550125i | \(-0.814580\pi\) |
0.0588808 | + | 0.998265i | \(0.481247\pi\) | |||||||
\(788\) | −30.3213 | + | 0.564528i | −1.08015 | + | 0.0201105i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −11.3043 | − | 2.91648i | −0.402189 | − | 0.103764i | ||||
\(791\) | −45.5244 | − | 28.7579i | −1.61866 | − | 1.02251i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.76148 | − | 16.9074i | 0.346640 | − | 0.600399i | ||||
\(794\) | 12.1290 | + | 43.6374i | 0.430444 | + | 1.54863i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −24.0735 | + | 14.5030i | −0.853264 | + | 0.514044i | ||||
\(797\) | 55.0759i | 1.95089i | 0.220247 | + | 0.975444i | \(0.429314\pi\) | ||||
−0.220247 | + | 0.975444i | \(0.570686\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 60.2665 | 2.13207 | ||||||||
\(800\) | −5.48746 | + | 25.0973i | −0.194011 | + | 0.887325i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −32.6024 | + | 9.06187i | −1.15123 | + | 0.319986i | ||||
\(803\) | 4.14660 | + | 2.39404i | 0.146330 | + | 0.0844839i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.457434 | + | 0.0182182i | 0.0161224 | + | 0.000642106i | ||||
\(806\) | −7.51774 | − | 1.93956i | −0.264801 | − | 0.0683180i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −8.64072 | + | 36.2697i | −0.303979 | + | 1.27596i | ||||
\(809\) | −0.781329 | − | 1.35330i | −0.0274701 | − | 0.0475796i | 0.851964 | − | 0.523601i | \(-0.175412\pi\) |
−0.879434 | + | 0.476022i | \(0.842078\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 24.5686i | − | 0.862720i | −0.902180 | − | 0.431360i | \(-0.858034\pi\) | ||
0.902180 | − | 0.431360i | \(-0.141966\pi\) | |||||||
\(812\) | 28.3969 | + | 17.2073i | 0.996537 | + | 0.603859i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.9510 | + | 10.7490i | 0.383833 | + | 0.376753i | ||||
\(815\) | −6.91741 | − | 11.9813i | −0.242306 | − | 0.419687i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −6.99962 | + | 12.1237i | −0.244886 | + | 0.424155i | ||||
\(818\) | 4.56279 | − | 17.6854i | 0.159534 | − | 0.618356i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.21394 | − | 7.62303i | 0.147157 | − | 0.266208i | ||||
\(821\) | −45.1801 | − | 26.0848i | −1.57680 | − | 0.910365i | −0.995302 | − | 0.0968147i | \(-0.969135\pi\) |
−0.581495 | − | 0.813550i | \(-0.697532\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.19076 | + | 15.9189i | 0.320370 | + | 0.554897i | 0.980564 | − | 0.196198i | \(-0.0628595\pi\) |
−0.660195 | + | 0.751095i | \(0.729526\pi\) | |||||||
\(824\) | −1.30695 | − | 4.38410i | −0.0455298 | − | 0.152727i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 25.8768 | + | 27.5054i | 0.900370 | + | 0.957035i | ||||
\(827\) | 10.0002i | 0.347742i | 0.984768 | + | 0.173871i | \(0.0556275\pi\) | ||||
−0.984768 | + | 0.173871i | \(0.944372\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 33.3708 | − | 19.2666i | 1.15902 | − | 0.669158i | 0.207948 | − | 0.978140i | \(-0.433321\pi\) |
0.951068 | + | 0.308982i | \(0.0999881\pi\) | |||||||
\(830\) | 7.04129 | − | 1.95713i | 0.244407 | − | 0.0679331i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 10.2280 | − | 0.571806i | 0.354590 | − | 0.0198238i | ||||
\(833\) | −25.2765 | + | 36.6933i | −0.875780 | + | 1.27135i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.46478 | + | 2.00039i | 0.119904 | + | 0.0692265i | ||||
\(836\) | −0.158702 | − | 8.52405i | −0.00548883 | − | 0.294810i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 31.9458 | − | 32.5462i | 1.10355 | − | 1.12429i | ||||
\(839\) | −17.3005 | −0.597279 | −0.298640 | − | 0.954366i | \(-0.596533\pi\) | ||||
−0.298640 | + | 0.954366i | \(0.596533\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.3743 | −0.357733 | ||||||||
\(842\) | 28.5520 | − | 29.0886i | 0.983968 | − | 1.00246i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −20.5629 | + | 0.382843i | −0.707803 | + | 0.0131780i | ||||
\(845\) | −6.66225 | − | 3.84645i | −0.229188 | − | 0.132322i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −19.2228 | + | 10.1004i | −0.660502 | + | 0.347055i | ||||
\(848\) | 19.2350 | − | 12.0816i | 0.660532 | − | 0.414885i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 39.3880 | − | 10.9479i | 1.35100 | − | 0.375510i | ||||
\(851\) | 1.43682 | − | 0.829549i | 0.0492536 | − | 0.0284366i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 3.16642i | − | 0.108416i | −0.998530 | − | 0.0542080i | \(-0.982737\pi\) | ||
0.998530 | − | 0.0542080i | \(-0.0172634\pi\) | |||||||
\(854\) | 16.4383 | − | 54.6274i | 0.562506 | − | 1.86931i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −30.2059 | + | 9.00473i | −1.03242 | + | 0.307775i | ||||
\(857\) | −5.20669 | − | 9.01825i | −0.177857 | − | 0.308058i | 0.763289 | − | 0.646057i | \(-0.223583\pi\) |
−0.941146 | + | 0.337999i | \(0.890250\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.4427 | + | 17.5761i | 1.03869 | + | 0.599689i | 0.919463 | − | 0.393178i | \(-0.128624\pi\) |
0.119229 | + | 0.992867i | \(0.461958\pi\) | |||||||
\(860\) | 6.50494 | + | 3.59587i | 0.221817 | + | 0.122618i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 2.64452 | − | 10.2502i | 0.0900728 | − | 0.349123i | ||||
\(863\) | 15.9590 | − | 27.6418i | 0.543251 | − | 0.940939i | −0.455463 | − | 0.890255i | \(-0.650526\pi\) |
0.998715 | − | 0.0506844i | \(-0.0161403\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.46842 | + | 2.54339i | 0.0499279 | + | 0.0864777i | ||||
\(866\) | 5.07412 | + | 4.98053i | 0.172426 | + | 0.169245i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −22.6814 | − | 0.480688i | −0.769859 | − | 0.0163156i | ||||
\(869\) | 20.3716i | 0.691059i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.0983 | + | 17.4908i | 0.342168 | + | 0.592653i | ||||
\(872\) | −2.64615 | + | 11.1073i | −0.0896101 | + | 0.376142i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.892556 | − | 0.230277i | −0.0301912 | − | 0.00778924i | ||||
\(875\) | −9.12973 | + | 14.4526i | −0.308641 | + | 0.488587i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.4800 | − | 11.8241i | −0.691560 | − | 0.399272i | 0.112636 | − | 0.993636i | \(-0.464070\pi\) |
−0.804196 | + | 0.594364i | \(0.797404\pi\) | |||||||
\(878\) | 47.1834 | − | 13.1147i | 1.59236 | − | 0.442599i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −4.52335 | + | 0.168491i | −0.152482 | + | 0.00567984i | ||||
\(881\) | −40.6718 | −1.37027 | −0.685134 | − | 0.728417i | \(-0.740256\pi\) | ||||
−0.685134 | + | 0.728417i | \(0.740256\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 32.7233i | 1.10123i | 0.834760 | + | 0.550613i | \(0.185606\pi\) | ||||
−0.834760 | + | 0.550613i | \(0.814394\pi\) | |||||||
\(884\) | −8.41201 | − | 13.9631i | −0.282927 | − | 0.469631i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.38365 | − | 8.57580i | −0.0800803 | − | 0.288110i | ||||
\(887\) | −7.92985 | + | 13.7349i | −0.266258 | + | 0.461173i | −0.967892 | − | 0.251365i | \(-0.919121\pi\) |
0.701634 | + | 0.712537i | \(0.252454\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −34.4429 | − | 21.7577i | −1.15518 | − | 0.729730i | ||||
\(890\) | −6.31259 | − | 1.62863i | −0.211599 | − | 0.0545919i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0.355843 | + | 19.1127i | 0.0119145 | + | 0.639939i | ||||
\(893\) | 20.9161 | − | 12.0759i | 0.699930 | − | 0.404105i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 4.27471 | 0.142888 | ||||||||
\(896\) | 28.7076 | − | 8.47769i | 0.959055 | − | 0.283220i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.88574 | − | 1.85096i | −0.0629280 | − | 0.0617673i | ||||
\(899\) | 23.2984 | − | 13.4513i | 0.777045 | − | 0.448627i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −31.3033 | − | 18.0729i | −1.04286 | − | 0.602097i | ||||
\(902\) | −14.7172 | − | 3.79699i | −0.490028 | − | 0.126426i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 39.5521 | − | 41.8250i | 1.31548 | − | 1.39108i | ||||
\(905\) | 4.08574 | − | 7.07671i | 0.135815 | − | 0.235238i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 27.9075 | − | 16.1124i | 0.926652 | − | 0.535003i | 0.0409010 | − | 0.999163i | \(-0.486977\pi\) |
0.885751 | + | 0.464160i | \(0.153644\pi\) | |||||||
\(908\) | −28.2600 | − | 46.9089i | −0.937841 | − | 1.55673i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.10682 | + | 0.934893i | 0.102990 | + | 0.0309914i | ||||
\(911\) | −58.1634 | −1.92704 | −0.963520 | − | 0.267635i | \(-0.913758\pi\) | ||||
−0.963520 | + | 0.267635i | \(0.913758\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.37632 | − | 11.0441i | −0.211025 | − | 0.365507i | ||||
\(914\) | 33.9558 | − | 9.43803i | 1.12316 | − | 0.312182i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.4395 | − | 20.6941i | 0.377972 | − | 0.683754i | ||||
\(917\) | −2.79941 | − | 5.32774i | −0.0924448 | − | 0.175937i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.26347 | + | 3.92045i | −0.0746650 | + | 0.129324i | −0.900941 | − | 0.433943i | \(-0.857122\pi\) |
0.826276 | + | 0.563266i | \(0.190455\pi\) | |||||||
\(920\) | −0.113419 | + | 0.476082i | −0.00373932 | + | 0.0156959i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.00173 | − | 5.09572i | 0.164723 | − | 0.167819i | ||||
\(923\) | 7.02596i | 0.231262i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 29.4877i | 0.969549i | ||||||||
\(926\) | −14.5350 | − | 14.2669i | −0.477649 | − | 0.468839i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −23.9047 | + | 26.2401i | −0.784709 | + | 0.861373i | ||||
\(929\) | −8.89148 | + | 15.4005i | −0.291720 | + | 0.505274i | −0.974217 | − | 0.225615i | \(-0.927561\pi\) |
0.682496 | + | 0.730889i | \(0.260894\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.42005 | + | 17.7996i | −0.0465404 | + | 0.583357i | ||||
\(932\) | 16.8769 | + | 9.32940i | 0.552822 | + | 0.305595i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −11.7788 | − | 42.3772i | −0.385413 | − | 1.38662i | ||||
\(935\) | 3.60152 | + | 6.23802i | 0.117782 | + | 0.204005i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.28933 | 0.0747893 | 0.0373946 | − | 0.999301i | \(-0.488094\pi\) | ||||
0.0373946 | + | 0.999301i | \(0.488094\pi\) | |||||||
\(938\) | 40.4384 | + | 42.9834i | 1.32036 | + | 1.40346i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −6.61711 | − | 10.9838i | −0.215826 | − | 0.358251i | ||||
\(941\) | −41.5525 | + | 23.9904i | −1.35457 | + | 0.782064i | −0.988886 | − | 0.148674i | \(-0.952500\pi\) |
−0.365688 | + | 0.930738i | \(0.619166\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.821665 | + | 1.42317i | −0.0267571 | + | 0.0463447i | ||||
\(944\) | −34.1875 | + | 21.4734i | −1.11271 | + | 0.698900i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.24008 | − | 12.5586i | 0.105344 | − | 0.408314i | ||||
\(947\) | −5.24961 | − | 3.03086i | −0.170589 | − | 0.0984898i | 0.412274 | − | 0.911060i | \(-0.364735\pi\) |
−0.582864 | + | 0.812570i | \(0.698068\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 3.17736 | − | 1.83445i | 0.103141 | − | 0.0595487i | ||||
\(950\) | 11.4763 | − | 11.6920i | 0.372340 | − | 0.379337i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −33.2791 | − | 34.0795i | −1.07858 | − | 1.10452i | ||||
\(953\) | 19.4315 | 0.629449 | 0.314725 | − | 0.949183i | \(-0.398088\pi\) | ||||
0.314725 | + | 0.949183i | \(0.398088\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.66683 | − | 2.69439i | 0.151015 | − | 0.0871885i | ||||
\(956\) | −0.557081 | − | 29.9213i | −0.0180173 | − | 0.967725i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −10.1688 | + | 39.4145i | −0.328540 | + | 1.27342i | ||||
\(959\) | 0.720208 | − | 18.0835i | 0.0232567 | − | 0.583946i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.30930 | − | 10.9280i | 0.203526 | − | 0.352517i | ||||
\(962\) | 11.3287 | − | 3.14881i | 0.365251 | − | 0.101522i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 19.4796 | − | 11.7354i | 0.627397 | − | 0.377971i | ||||
\(965\) | 4.15871i | 0.133874i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 29.3398 | 0.943505 | 0.471752 | − | 0.881731i | \(-0.343622\pi\) | ||||
0.471752 | + | 0.881731i | \(0.343622\pi\) | |||||||
\(968\) | −6.63197 | − | 22.2466i | −0.213160 | − | 0.715033i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.122560 | + | 0.440943i | 0.00393518 | + | 0.0141578i | ||||
\(971\) | −8.74983 | − | 5.05171i | −0.280795 | − | 0.162117i | 0.352988 | − | 0.935628i | \(-0.385166\pi\) |
−0.633783 | + | 0.773511i | \(0.718499\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.8179 | + | 17.1250i | −0.346807 | + | 0.549003i | ||||
\(974\) | −2.20862 | + | 8.56063i | −0.0707688 | + | 0.274300i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 53.9138 | + | 28.5059i | 1.72574 | + | 0.912450i | ||||
\(977\) | 23.2401 | + | 40.2531i | 0.743517 | + | 1.28781i | 0.950884 | + | 0.309546i | \(0.100177\pi\) |
−0.207367 | + | 0.978263i | \(0.566489\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.3760i | 0.363578i | ||||||||
\(980\) | 9.46278 | + | 0.577905i | 0.302277 | + | 0.0184605i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −5.36440 | + | 5.46521i | −0.171185 | + | 0.174402i | ||||
\(983\) | 16.9571 | + | 29.3706i | 0.540848 | + | 0.936777i | 0.998856 | + | 0.0478283i | \(0.0152300\pi\) |
−0.458007 | + | 0.888948i | \(0.651437\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.13408 | − | 8.89248i | 0.163585 | − | 0.283338i | ||||
\(986\) | 54.6944 | + | 14.1110i | 1.74182 | + | 0.449386i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.71734 | − | 3.16049i | −0.181893 | − | 0.100549i | ||||
\(989\) | −1.21443 | − | 0.701150i | −0.0386165 | − | 0.0222953i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −9.87808 | − | 17.1093i | −0.313787 | − | 0.543496i | 0.665392 | − | 0.746494i | \(-0.268265\pi\) |
−0.979179 | + | 0.202999i | \(0.934931\pi\) | |||||||
\(992\) | 5.18045 | − | 23.6932i | 0.164479 | − | 0.752260i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4.70644 | + | 19.9835i | 0.149279 | + | 0.633837i | ||||
\(995\) | − | 9.51584i | − | 0.301672i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.7164 | + | 10.2285i | −0.561083 | + | 0.323941i | −0.753580 | − | 0.657356i | \(-0.771675\pi\) |
0.192497 | + | 0.981298i | \(0.438341\pi\) | |||||||
\(998\) | 3.46522 | + | 12.4670i | 0.109690 | + | 0.394637i | ||||
\(999\) | 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 | 504.2.cj.e.37.13 | 32 | ||
3.2 | odd | 2 | 168.2.bc.a.37.4 | ✓ | 32 | ||
4.3 | odd | 2 | 2016.2.cr.e.1297.7 | 32 | |||
7.4 | even | 3 | inner | 504.2.cj.e.109.1 | 32 | ||
8.3 | odd | 2 | 2016.2.cr.e.1297.10 | 32 | |||
8.5 | even | 2 | inner | 504.2.cj.e.37.1 | 32 | ||
12.11 | even | 2 | 672.2.bk.a.625.5 | 32 | |||
21.2 | odd | 6 | 1176.2.c.e.589.8 | 16 | |||
21.5 | even | 6 | 1176.2.c.f.589.8 | 16 | |||
21.11 | odd | 6 | 168.2.bc.a.109.16 | yes | 32 | ||
24.5 | odd | 2 | 168.2.bc.a.37.16 | yes | 32 | ||
24.11 | even | 2 | 672.2.bk.a.625.12 | 32 | |||
28.11 | odd | 6 | 2016.2.cr.e.1873.10 | 32 | |||
56.11 | odd | 6 | 2016.2.cr.e.1873.7 | 32 | |||
56.53 | even | 6 | inner | 504.2.cj.e.109.13 | 32 | ||
84.11 | even | 6 | 672.2.bk.a.529.12 | 32 | |||
84.23 | even | 6 | 4704.2.c.e.2353.4 | 16 | |||
84.47 | odd | 6 | 4704.2.c.f.2353.13 | 16 | |||
168.5 | even | 6 | 1176.2.c.f.589.7 | 16 | |||
168.11 | even | 6 | 672.2.bk.a.529.5 | 32 | |||
168.53 | odd | 6 | 168.2.bc.a.109.4 | yes | 32 | ||
168.107 | even | 6 | 4704.2.c.e.2353.13 | 16 | |||
168.131 | odd | 6 | 4704.2.c.f.2353.4 | 16 | |||
168.149 | odd | 6 | 1176.2.c.e.589.7 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.bc.a.37.4 | ✓ | 32 | 3.2 | odd | 2 | ||
168.2.bc.a.37.16 | yes | 32 | 24.5 | odd | 2 | ||
168.2.bc.a.109.4 | yes | 32 | 168.53 | odd | 6 | ||
168.2.bc.a.109.16 | yes | 32 | 21.11 | odd | 6 | ||
504.2.cj.e.37.1 | 32 | 8.5 | even | 2 | inner | ||
504.2.cj.e.37.13 | 32 | 1.1 | even | 1 | trivial | ||
504.2.cj.e.109.1 | 32 | 7.4 | even | 3 | inner | ||
504.2.cj.e.109.13 | 32 | 56.53 | even | 6 | inner | ||
672.2.bk.a.529.5 | 32 | 168.11 | even | 6 | |||
672.2.bk.a.529.12 | 32 | 84.11 | even | 6 | |||
672.2.bk.a.625.5 | 32 | 12.11 | even | 2 | |||
672.2.bk.a.625.12 | 32 | 24.11 | even | 2 | |||
1176.2.c.e.589.7 | 16 | 168.149 | odd | 6 | |||
1176.2.c.e.589.8 | 16 | 21.2 | odd | 6 | |||
1176.2.c.f.589.7 | 16 | 168.5 | even | 6 | |||
1176.2.c.f.589.8 | 16 | 21.5 | even | 6 | |||
2016.2.cr.e.1297.7 | 32 | 4.3 | odd | 2 | |||
2016.2.cr.e.1297.10 | 32 | 8.3 | odd | 2 | |||
2016.2.cr.e.1873.7 | 32 | 56.11 | odd | 6 | |||
2016.2.cr.e.1873.10 | 32 | 28.11 | odd | 6 | |||
4704.2.c.e.2353.4 | 16 | 84.23 | even | 6 | |||
4704.2.c.e.2353.13 | 16 | 168.107 | even | 6 | |||
4704.2.c.f.2353.4 | 16 | 168.131 | odd | 6 | |||
4704.2.c.f.2353.13 | 16 | 84.47 | odd | 6 |