Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [369,2,Mod(46,369)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(369, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("369.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 369 = 3^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 369.u (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.94647983459\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 41) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 46.3 | ||
Character | \(\chi\) | \(=\) | 369.46 |
Dual form | 369.2.u.a.361.3 |
$q$-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 \(\left(\mathbb{Z}/369\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(334\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00762 | + | 1.38687i | 0.712497 | + | 0.980669i | 0.999740 | + | 0.0228107i | \(0.00726149\pi\) |
−0.287242 | + | 0.957858i | \(0.592739\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.290083 | + | 0.892782i | −0.145041 | + | 0.446391i | ||||
\(5\) | 2.57687 | + | 0.837277i | 1.15241 | + | 0.374442i | 0.822052 | − | 0.569413i | \(-0.192829\pi\) |
0.330361 | + | 0.943855i | \(0.392829\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.252316 | − | 1.59306i | −0.0953664 | − | 0.602120i | −0.988370 | − | 0.152070i | \(-0.951406\pi\) |
0.893003 | − | 0.450050i | \(-0.148594\pi\) | |||||||
\(8\) | 1.73027 | − | 0.562198i | 0.611742 | − | 0.198767i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.43532 | + | 4.41746i | 0.453888 | + | 1.39692i | ||||
\(11\) | −0.314590 | + | 0.617417i | −0.0948524 | + | 0.186158i | −0.933558 | − | 0.358427i | \(-0.883313\pi\) |
0.838705 | + | 0.544586i | \(0.183313\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.50733 | − | 0.238738i | −0.418058 | − | 0.0662139i | −0.0561381 | − | 0.998423i | \(-0.517879\pi\) |
−0.361920 | + | 0.932209i | \(0.617879\pi\) | |||||||
\(14\) | 1.95513 | − | 1.95513i | 0.522532 | − | 0.522532i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.04205 | + | 2.93672i | 1.01051 | + | 0.734180i | ||||
\(17\) | −0.942631 | − | 0.480295i | −0.228622 | − | 0.116489i | 0.335928 | − | 0.941888i | \(-0.390950\pi\) |
−0.564550 | + | 0.825399i | \(0.690950\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.126968 | + | 0.0201098i | −0.0291285 | + | 0.00461350i | −0.170982 | − | 0.985274i | \(-0.554694\pi\) |
0.141853 | + | 0.989888i | \(0.454694\pi\) | |||||||
\(20\) | −1.49501 | + | 2.05771i | −0.334295 | + | 0.460117i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.17327 | + | 0.185828i | −0.250142 | + | 0.0396186i | ||||
\(23\) | −1.52374 | + | 1.10707i | −0.317723 | + | 0.230839i | −0.735203 | − | 0.677847i | \(-0.762913\pi\) |
0.417480 | + | 0.908686i | \(0.362913\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.89416 | + | 1.37619i | 0.378831 | + | 0.275237i | ||||
\(26\) | −1.18772 | − | 2.33104i | −0.232932 | − | 0.457154i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.49545 | + | 0.236856i | 0.282613 | + | 0.0447615i | ||||
\(29\) | −7.39222 | + | 3.76652i | −1.37270 | + | 0.699426i | −0.975847 | − | 0.218456i | \(-0.929898\pi\) |
−0.396853 | + | 0.917882i | \(0.629898\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.373094 | + | 1.14827i | 0.0670097 | + | 0.206235i | 0.978955 | − | 0.204078i | \(-0.0654196\pi\) |
−0.911945 | + | 0.410313i | \(0.865420\pi\) | |||||||
\(32\) | 4.92630i | 0.870855i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.283709 | − | 1.79127i | −0.0486557 | − | 0.307200i | ||||
\(35\) | 0.683646 | − | 4.31637i | 0.115557 | − | 0.729600i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.86889 | + | 5.75186i | −0.307244 | + | 0.945600i | 0.671586 | + | 0.740926i | \(0.265613\pi\) |
−0.978830 | + | 0.204673i | \(0.934387\pi\) | |||||||
\(38\) | −0.155826 | − | 0.155826i | −0.0252783 | − | 0.0252783i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.92939 | 0.779405 | ||||||||
\(41\) | −5.96866 | + | 2.31844i | −0.932147 | + | 0.362079i | ||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.21829 | − | 8.55874i | −0.948280 | − | 1.30520i | −0.952287 | − | 0.305204i | \(-0.901276\pi\) |
0.00400713 | − | 0.999992i | \(-0.498724\pi\) | |||||||
\(44\) | −0.459962 | − | 0.459962i | −0.0693419 | − | 0.0693419i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.07072 | − | 0.997738i | −0.452753 | − | 0.147108i | ||||
\(47\) | 0.991818 | − | 6.26210i | 0.144672 | − | 0.913421i | −0.803418 | − | 0.595416i | \(-0.796987\pi\) |
0.948089 | − | 0.318005i | \(-0.103013\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.18322 | − | 1.35921i | 0.597603 | − | 0.194173i | ||||
\(50\) | 4.01364i | 0.567614i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.650391 | − | 1.27646i | 0.0901930 | − | 0.177014i | ||||
\(53\) | 11.1289 | − | 5.67046i | 1.52867 | − | 0.778898i | 0.531020 | − | 0.847359i | \(-0.321809\pi\) |
0.997654 | + | 0.0684612i | \(0.0218089\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.32761 | + | 1.32761i | −0.179015 | + | 0.179015i | ||||
\(56\) | −1.33219 | − | 2.61457i | −0.178021 | − | 0.349386i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −12.6723 | − | 6.45684i | −1.66395 | − | 0.847825i | ||||
\(59\) | 6.61738 | − | 4.80781i | 0.861509 | − | 0.625923i | −0.0667860 | − | 0.997767i | \(-0.521274\pi\) |
0.928295 | + | 0.371844i | \(0.121274\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.54768 | + | 2.13021i | −0.198161 | + | 0.272745i | −0.896521 | − | 0.443002i | \(-0.853913\pi\) |
0.698360 | + | 0.715747i | \(0.253913\pi\) | |||||||
\(62\) | −1.21656 | + | 1.67445i | −0.154504 | + | 0.212656i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.25193 | − | 0.909582i | 0.156491 | − | 0.113698i | ||||
\(65\) | −3.68431 | − | 1.87725i | −0.456982 | − | 0.232844i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.85439 | − | 7.56467i | −0.470889 | − | 0.924172i | −0.997264 | − | 0.0739193i | \(-0.976449\pi\) |
0.526375 | − | 0.850252i | \(-0.323551\pi\) | |||||||
\(68\) | 0.702239 | − | 0.702239i | 0.0851590 | − | 0.0851590i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.67512 | − | 3.40115i | 0.797830 | − | 0.406515i | ||||
\(71\) | −1.94789 | + | 3.82296i | −0.231172 | + | 0.453701i | −0.977231 | − | 0.212179i | \(-0.931944\pi\) |
0.746058 | + | 0.665881i | \(0.231944\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.1957i | 1.42739i | 0.700455 | + | 0.713697i | \(0.252981\pi\) | ||||
−0.700455 | + | 0.713697i | \(0.747019\pi\) | |||||||
\(74\) | −9.86025 | + | 3.20379i | −1.14623 | + | 0.372433i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.0188776 | − | 0.119188i | 0.00216541 | − | 0.0136718i | ||||
\(77\) | 1.06296 | + | 0.345376i | 0.121135 | + | 0.0393593i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.14191 | − | 8.14191i | −0.916037 | − | 0.916037i | 0.0807015 | − | 0.996738i | \(-0.474284\pi\) |
−0.996738 | + | 0.0807015i | \(0.974284\pi\) | |||||||
\(80\) | 7.95700 | + | 10.9519i | 0.889619 | + | 1.22446i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.22954 | − | 5.94167i | −1.01923 | − | 0.656147i | ||||
\(83\) | −6.49090 | −0.712469 | −0.356235 | − | 0.934397i | \(-0.615940\pi\) | ||||
−0.356235 | + | 0.934397i | \(0.615940\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.02690 | − | 2.02690i | −0.219848 | − | 0.219848i | ||||
\(86\) | 5.60421 | − | 17.2480i | 0.604317 | − | 1.85990i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.197214 | + | 1.24516i | −0.0210231 | + | 0.132734i | ||||
\(89\) | −0.451128 | − | 2.84831i | −0.0478195 | − | 0.301920i | 0.952174 | − | 0.305557i | \(-0.0988425\pi\) |
−0.999993 | + | 0.00363635i | \(0.998843\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.46150i | 0.258036i | ||||||||
\(92\) | −0.546357 | − | 1.68151i | −0.0569616 | − | 0.175310i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 9.68412 | − | 4.93431i | 0.998841 | − | 0.508935i | ||||
\(95\) | −0.344018 | − | 0.0544871i | −0.0352955 | − | 0.00559026i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.548878 | + | 1.07723i | 0.0557301 | + | 0.109377i | 0.917192 | − | 0.398446i | \(-0.130450\pi\) |
−0.861462 | + | 0.507823i | \(0.830450\pi\) | |||||||
\(98\) | 6.10017 | + | 4.43203i | 0.616210 | + | 0.447703i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.77810 | + | 1.29186i | −0.177810 | + | 0.129186i | ||||
\(101\) | 5.23645 | − | 0.829373i | 0.521047 | − | 0.0825257i | 0.109629 | − | 0.993973i | \(-0.465034\pi\) |
0.411418 | + | 0.911447i | \(0.365034\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.15642 | − | 11.2264i | 0.803676 | − | 1.10617i | −0.188592 | − | 0.982055i | \(-0.560392\pi\) |
0.992268 | − | 0.124110i | \(-0.0396075\pi\) | |||||||
\(104\) | −2.74230 | + | 0.434338i | −0.268905 | + | 0.0425903i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 19.0780 | + | 9.72072i | 1.85302 | + | 0.944159i | ||||
\(107\) | 7.71269 | + | 5.60360i | 0.745614 | + | 0.541720i | 0.894464 | − | 0.447139i | \(-0.147557\pi\) |
−0.148850 | + | 0.988860i | \(0.547557\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.66630 | + | 1.66630i | −0.159603 | + | 0.159603i | −0.782391 | − | 0.622788i | \(-0.786000\pi\) |
0.622788 | + | 0.782391i | \(0.286000\pi\) | |||||||
\(110\) | −3.17895 | − | 0.503497i | −0.303101 | − | 0.0480065i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.65850 | − | 7.18020i | 0.345695 | − | 0.678465i | ||||
\(113\) | 2.37239 | + | 7.30147i | 0.223176 | + | 0.686865i | 0.998472 | + | 0.0552663i | \(0.0176008\pi\) |
−0.775296 | + | 0.631598i | \(0.782399\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.85342 | + | 1.57697i | −0.452583 | + | 0.147053i | ||||
\(116\) | −1.21833 | − | 7.69224i | −0.113119 | − | 0.714207i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 13.3356 | + | 4.33302i | 1.22765 | + | 0.398886i | ||||
\(119\) | −0.527297 | + | 1.62285i | −0.0483372 | + | 0.148767i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.18340 | + | 8.51072i | 0.562127 | + | 0.773702i | ||||
\(122\) | −4.51381 | −0.408661 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.13338 | −0.101781 | ||||||||
\(125\) | −4.23422 | − | 5.82791i | −0.378720 | − | 0.521264i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.92578 | + | 5.92695i | −0.170886 | + | 0.525932i | −0.999422 | − | 0.0340038i | \(-0.989174\pi\) |
0.828536 | + | 0.559936i | \(0.189174\pi\) | |||||||
\(128\) | 11.8933 | + | 3.86438i | 1.05123 | + | 0.341566i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.10889 | − | 7.00124i | −0.0972558 | − | 0.614049i | ||||
\(131\) | −0.689839 | + | 0.224142i | −0.0602715 | + | 0.0195834i | −0.338998 | − | 0.940787i | \(-0.610088\pi\) |
0.278726 | + | 0.960371i | \(0.410088\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.0640721 | + | 0.197194i | 0.00555576 | + | 0.0170989i | ||||
\(134\) | 6.60748 | − | 12.9679i | 0.570799 | − | 1.12026i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.90102 | − | 0.301093i | −0.163011 | − | 0.0258185i | ||||
\(137\) | −13.1949 | + | 13.1949i | −1.12731 | + | 1.12731i | −0.136700 | + | 0.990612i | \(0.543650\pi\) |
−0.990612 | + | 0.136700i | \(0.956350\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.13170 | − | 3.72840i | −0.435265 | − | 0.316239i | 0.348486 | − | 0.937314i | \(-0.386696\pi\) |
−0.783751 | + | 0.621075i | \(0.786696\pi\) | |||||||
\(140\) | 3.65527 | + | 1.86245i | 0.308926 | + | 0.157406i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.26470 | + | 1.15062i | −0.609640 | + | 0.0965576i | ||||
\(143\) | 0.621592 | − | 0.855548i | 0.0519801 | − | 0.0715445i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −22.2024 | + | 3.51652i | −1.84381 | + | 0.292031i | ||||
\(146\) | −16.9139 | + | 12.2886i | −1.39980 | + | 1.01701i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.59302 | − | 3.33703i | −0.377544 | − | 0.274302i | ||||
\(149\) | −5.86949 | − | 11.5195i | −0.480848 | − | 0.943717i | −0.996230 | − | 0.0867562i | \(-0.972350\pi\) |
0.515382 | − | 0.856961i | \(-0.327650\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.37899 | − | 0.218411i | −0.112221 | − | 0.0177740i | 0.100071 | − | 0.994980i | \(-0.468093\pi\) |
−0.212292 | + | 0.977206i | \(0.568093\pi\) | |||||||
\(152\) | −0.208383 | + | 0.106176i | −0.0169021 | + | 0.00861205i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.592069 | + | 1.82220i | 0.0477102 | + | 0.146837i | ||||
\(155\) | 3.27132i | 0.262759i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.74716 | + | 17.3449i | 0.219247 | + | 1.38427i | 0.814234 | + | 0.580537i | \(0.197157\pi\) |
−0.594987 | + | 0.803735i | \(0.702843\pi\) | |||||||
\(158\) | 3.08783 | − | 19.4958i | 0.245655 | − | 1.55100i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −4.12468 | + | 12.6945i | −0.326084 | + | 1.00358i | ||||
\(161\) | 2.14809 | + | 2.14809i | 0.169293 | + | 0.169293i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 17.6081 | 1.37918 | 0.689588 | − | 0.724202i | \(-0.257792\pi\) | ||||
0.689588 | + | 0.724202i | \(0.257792\pi\) | |||||||
\(164\) | −0.338458 | − | 6.00125i | −0.0264291 | − | 0.468619i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.54039 | − | 9.00207i | −0.507632 | − | 0.698696i | ||||
\(167\) | 1.96297 | + | 1.96297i | 0.151899 | + | 0.151899i | 0.778966 | − | 0.627066i | \(-0.215745\pi\) |
−0.627066 | + | 0.778966i | \(0.715745\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.1487 | − | 3.29751i | −0.780668 | − | 0.253654i | ||||
\(170\) | 0.768705 | − | 4.85341i | 0.0589570 | − | 0.372240i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 9.44491 | − | 3.06884i | 0.720168 | − | 0.233997i | ||||
\(173\) | 11.7096i | 0.890265i | 0.895465 | + | 0.445132i | \(0.146843\pi\) | ||||
−0.895465 | + | 0.445132i | \(0.853157\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.71442 | − | 3.36474i | 0.129598 | − | 0.254350i | ||||
\(176\) | −3.08477 | + | 1.57177i | −0.232523 | + | 0.118476i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.49568 | − | 3.49568i | 0.262012 | − | 0.262012i | ||||
\(179\) | −1.93111 | − | 3.79002i | −0.144338 | − | 0.283279i | 0.807508 | − | 0.589857i | \(-0.200816\pi\) |
−0.951846 | + | 0.306578i | \(0.900816\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.13089 | + | 2.10479i | 0.307047 | + | 0.156448i | 0.600724 | − | 0.799457i | \(-0.294879\pi\) |
−0.293677 | + | 0.955905i | \(0.594879\pi\) | |||||||
\(182\) | −3.41380 | + | 2.48027i | −0.253048 | + | 0.183850i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.01409 | + | 2.77216i | −0.148481 | + | 0.204367i | ||||
\(185\) | −9.63179 | + | 13.2570i | −0.708144 | + | 0.974676i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.593084 | − | 0.430901i | 0.0433706 | − | 0.0315106i | ||||
\(188\) | 5.30298 | + | 2.70200i | 0.386760 | + | 0.197064i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.271074 | − | 0.532013i | −0.0196658 | − | 0.0385963i | ||||
\(191\) | −15.8171 | + | 15.8171i | −1.14449 | + | 1.14449i | −0.156869 | + | 0.987619i | \(0.550140\pi\) |
−0.987619 | + | 0.156869i | \(0.949860\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.9855 | − | 6.61647i | 0.934720 | − | 0.476264i | 0.0808362 | − | 0.996727i | \(-0.474241\pi\) |
0.853884 | + | 0.520464i | \(0.174241\pi\) | |||||||
\(194\) | −0.940926 | + | 1.84667i | −0.0675546 | + | 0.132583i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.12899i | 0.294928i | ||||||||
\(197\) | −0.885009 | + | 0.287557i | −0.0630543 | + | 0.0204876i | −0.340374 | − | 0.940290i | \(-0.610554\pi\) |
0.277320 | + | 0.960778i | \(0.410554\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.0644895 | − | 0.407171i | 0.00457154 | − | 0.0288636i | −0.985297 | − | 0.170850i | \(-0.945349\pi\) |
0.989869 | + | 0.141986i | \(0.0453488\pi\) | |||||||
\(200\) | 4.05109 | + | 1.31628i | 0.286455 | + | 0.0930749i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.42661 | + | 6.42661i | 0.452175 | + | 0.452175i | ||||
\(203\) | 7.86547 | + | 10.8259i | 0.552048 | + | 0.759828i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.3216 | + | 0.976904i | −1.20980 | + | 0.0682299i | ||||
\(206\) | 23.7881 | 1.65740 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.39160 | − | 5.39160i | −0.373840 | − | 0.373840i | ||||
\(209\) | 0.0275268 | − | 0.0847187i | 0.00190407 | − | 0.00586011i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.50778 | + | 22.1473i | −0.241486 | + | 1.52468i | 0.507243 | + | 0.861803i | \(0.330665\pi\) |
−0.748728 | + | 0.662877i | \(0.769335\pi\) | |||||||
\(212\) | 1.83419 | + | 11.5806i | 0.125972 | + | 0.795359i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 16.3429i | 1.11717i | ||||||||
\(215\) | −8.85770 | − | 27.2612i | −0.604090 | − | 1.85920i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.73512 | − | 0.884087i | 0.117788 | − | 0.0600157i | ||||
\(218\) | −3.98995 | − | 0.631946i | −0.270234 | − | 0.0428008i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.800149 | − | 1.57038i | −0.0539460 | − | 0.105875i | ||||
\(221\) | 1.30619 | + | 0.949004i | 0.0878640 | + | 0.0638369i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.29767 | − | 2.39590i | 0.220829 | − | 0.160441i | −0.471871 | − | 0.881668i | \(-0.656421\pi\) |
0.692700 | + | 0.721226i | \(0.256421\pi\) | |||||||
\(224\) | 7.84789 | − | 1.24298i | 0.524359 | − | 0.0830504i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −7.73575 | + | 10.6473i | −0.514574 | + | 0.708251i | ||||
\(227\) | 21.3270 | − | 3.37787i | 1.41552 | − | 0.224197i | 0.598649 | − | 0.801012i | \(-0.295705\pi\) |
0.816875 | + | 0.576815i | \(0.195705\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.82761 | + | 4.49789i | 0.583345 | + | 0.297229i | 0.720649 | − | 0.693300i | \(-0.243844\pi\) |
−0.137304 | + | 0.990529i | \(0.543844\pi\) | |||||||
\(230\) | −7.07748 | − | 5.14209i | −0.466675 | − | 0.339059i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −10.6730 | + | 10.6730i | −0.700715 | + | 0.700715i | ||||
\(233\) | 1.27079 | + | 0.201273i | 0.0832521 | + | 0.0131858i | 0.197922 | − | 0.980218i | \(-0.436581\pi\) |
−0.114669 | + | 0.993404i | \(0.536581\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.79890 | − | 15.3062i | 0.508744 | − | 0.998466i | ||||
\(236\) | 2.37274 | + | 7.30254i | 0.154452 | + | 0.475355i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.78201 | + | 0.903930i | −0.180331 | + | 0.0585931i | ||||
\(239\) | 1.11016 | + | 7.00929i | 0.0718104 | + | 0.453393i | 0.997226 | + | 0.0744383i | \(0.0237164\pi\) |
−0.925415 | + | 0.378955i | \(0.876284\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.2597 | + | 3.33359i | 0.660888 | + | 0.214735i | 0.620209 | − | 0.784437i | \(-0.287048\pi\) |
0.0406791 | + | 0.999172i | \(0.487048\pi\) | |||||||
\(242\) | −5.57276 | + | 17.1512i | −0.358231 | + | 1.10252i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.45285 | − | 1.99968i | −0.0930094 | − | 0.128016i | ||||
\(245\) | 11.9177 | 0.761391 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.196184 | 0.0124829 | ||||||||
\(248\) | 1.29111 | + | 1.77705i | 0.0819853 | + | 0.112843i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.81608 | − | 11.7447i | 0.241350 | − | 0.742798i | ||||
\(251\) | −5.35009 | − | 1.73835i | −0.337695 | − | 0.109724i | 0.135261 | − | 0.990810i | \(-0.456813\pi\) |
−0.472955 | + | 0.881086i | \(0.656813\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.204167 | − | 1.28906i | −0.0128359 | − | 0.0810424i | ||||
\(254\) | −10.1604 | + | 3.30132i | −0.637520 | + | 0.207143i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.66820 | + | 17.4449i | 0.354263 | + | 1.09031i | ||||
\(257\) | 9.98071 | − | 19.5882i | 0.622580 | − | 1.22188i | −0.337281 | − | 0.941404i | \(-0.609507\pi\) |
0.959861 | − | 0.280477i | \(-0.0904927\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.63460 | + | 1.52597i | 0.598665 | + | 0.0948192i | ||||
\(260\) | 2.74473 | − | 2.74473i | 0.170221 | − | 0.170221i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.00596 | − | 0.730869i | −0.0621481 | − | 0.0451533i | ||||
\(263\) | −5.22227 | − | 2.66088i | −0.322019 | − | 0.164077i | 0.285507 | − | 0.958377i | \(-0.407838\pi\) |
−0.607526 | + | 0.794300i | \(0.707838\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 33.4255 | − | 5.29409i | 2.05331 | − | 0.325213i | ||||
\(266\) | −0.208922 | + | 0.287557i | −0.0128099 | + | 0.0176313i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 7.87170 | − | 1.24675i | 0.480840 | − | 0.0761576i | ||||
\(269\) | 11.1080 | − | 8.07042i | 0.677265 | − | 0.492062i | −0.195184 | − | 0.980767i | \(-0.562530\pi\) |
0.872449 | + | 0.488705i | \(0.162530\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 12.8738 | + | 9.35335i | 0.782026 | + | 0.568175i | 0.905586 | − | 0.424162i | \(-0.139431\pi\) |
−0.123560 | + | 0.992337i | \(0.539431\pi\) | |||||||
\(272\) | −2.39967 | − | 4.70962i | −0.145501 | − | 0.285562i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −31.5951 | − | 5.00417i | −1.90873 | − | 0.302313i | ||||
\(275\) | −1.44556 | + | 0.736551i | −0.0871708 | + | 0.0444157i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.93200 | − | 18.2568i | −0.356420 | − | 1.09695i | −0.955182 | − | 0.296020i | \(-0.904341\pi\) |
0.598762 | − | 0.800927i | \(-0.295659\pi\) | |||||||
\(278\) | − | 10.8738i | − | 0.652170i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.24376 | − | 7.85282i | −0.0743291 | − | 0.469296i | ||||
\(281\) | 0.226991 | − | 1.43316i | 0.0135411 | − | 0.0854954i | −0.979992 | − | 0.199036i | \(-0.936219\pi\) |
0.993533 | + | 0.113540i | \(0.0362191\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.91195 | + | 8.96207i | −0.173098 | + | 0.532740i | −0.999541 | − | 0.0302793i | \(-0.990360\pi\) |
0.826444 | + | 0.563019i | \(0.190360\pi\) | |||||||
\(284\) | −2.84802 | − | 2.84802i | −0.168999 | − | 0.168999i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.81287 | 0.107197 | ||||||||
\(287\) | 5.19940 | + | 8.92345i | 0.306911 | + | 0.526734i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.33448 | − | 12.8478i | −0.549087 | − | 0.755753i | ||||
\(290\) | −27.2487 | − | 27.2487i | −1.60010 | − | 1.60010i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −10.8881 | − | 3.53775i | −0.637176 | − | 0.207031i | ||||
\(293\) | −0.169720 | + | 1.07157i | −0.00991512 | + | 0.0626016i | −0.992150 | − | 0.125055i | \(-0.960089\pi\) |
0.982235 | + | 0.187657i | \(0.0600892\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 21.0776 | − | 6.84853i | 1.22719 | − | 0.398737i | ||||
\(296\) | 11.0029i | 0.639533i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.0619 | − | 19.7476i | 0.582871 | − | 1.14395i | ||||
\(299\) | 2.56108 | − | 1.30494i | 0.148111 | − | 0.0754665i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −12.0656 | + | 12.0656i | −0.695450 | + | 0.695450i | ||||
\(302\) | −1.08660 | − | 2.13256i | −0.0625266 | − | 0.122715i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.572268 | − | 0.291585i | −0.0328218 | − | 0.0167236i | ||||
\(305\) | −5.77176 | + | 4.19343i | −0.330490 | + | 0.240115i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.4258 | − | 23.9845i | 0.994542 | − | 1.36887i | 0.0659270 | − | 0.997824i | \(-0.479000\pi\) |
0.928615 | − | 0.371045i | \(-0.121000\pi\) | |||||||
\(308\) | −0.616692 | + | 0.848803i | −0.0351393 | + | 0.0483650i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.53691 | + | 3.29626i | −0.257679 | + | 0.187215i | ||||
\(311\) | 15.3673 | + | 7.83002i | 0.871399 | + | 0.444000i | 0.831709 | − | 0.555212i | \(-0.187363\pi\) |
0.0396900 | + | 0.999212i | \(0.487363\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.736533 | − | 1.44553i | −0.0416313 | − | 0.0817060i | 0.869254 | − | 0.494366i | \(-0.164600\pi\) |
−0.910885 | + | 0.412660i | \(0.864600\pi\) | |||||||
\(314\) | −21.2871 | + | 21.2871i | −1.20130 | + | 1.20130i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 9.63078 | − | 4.90713i | 0.541774 | − | 0.276048i | ||||
\(317\) | 7.39686 | − | 14.5172i | 0.415449 | − | 0.815364i | −0.584543 | − | 0.811363i | \(-0.698726\pi\) |
0.999992 | − | 0.00400175i | \(-0.00127380\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 5.74899i | − | 0.321882i | ||||||
\(320\) | 3.98764 | − | 1.29566i | 0.222916 | − | 0.0724298i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.814664 | + | 5.14359i | −0.0453995 | + | 0.286641i | ||||
\(323\) | 0.129343 | + | 0.0420260i | 0.00719682 | + | 0.00233839i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.52657 | − | 2.52657i | −0.140149 | − | 0.140149i | ||||
\(326\) | 17.7424 | + | 24.4203i | 0.982660 | + | 1.35251i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −9.02395 | + | 7.36708i | −0.498264 | + | 0.406779i | ||||
\(329\) | −10.2261 | −0.563786 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.9285 | − | 17.9285i | −0.985441 | − | 0.985441i | 0.0144544 | − | 0.999896i | \(-0.495399\pi\) |
−0.999896 | + | 0.0144544i | \(0.995399\pi\) | |||||||
\(332\) | 1.88290 | − | 5.79496i | 0.103337 | − | 0.318040i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.744460 | + | 4.70034i | −0.0407350 | + | 0.257191i | ||||
\(335\) | −3.59856 | − | 22.7204i | −0.196610 | − | 1.24135i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 26.2434i | 1.42957i | 0.699344 | + | 0.714785i | \(0.253475\pi\) | ||||
−0.699344 | + | 0.714785i | \(0.746525\pi\) | |||||||
\(338\) | −5.65282 | − | 17.3976i | −0.307473 | − | 0.946305i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.39755 | − | 1.22161i | 0.130025 | − | 0.0662513i | ||||
\(341\) | −0.826331 | − | 0.130878i | −0.0447483 | − | 0.00708744i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.34654 | − | 16.3810i | −0.450671 | − | 0.884491i | ||||
\(344\) | −15.5710 | − | 11.3130i | −0.839532 | − | 0.609956i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −16.2398 | + | 11.7989i | −0.873055 | + | 0.634311i | ||||
\(347\) | 16.4622 | − | 2.60735i | 0.883735 | − | 0.139970i | 0.301961 | − | 0.953320i | \(-0.402359\pi\) |
0.581774 | + | 0.813351i | \(0.302359\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.08471 | − | 6.99851i | 0.272178 | − | 0.374622i | −0.650945 | − | 0.759125i | \(-0.725627\pi\) |
0.923124 | + | 0.384503i | \(0.125627\pi\) | |||||||
\(350\) | 6.39396 | − | 1.01270i | 0.341772 | − | 0.0541313i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.04158 | − | 1.54976i | −0.162117 | − | 0.0826027i | ||||
\(353\) | 11.1586 | + | 8.10719i | 0.593912 | + | 0.431502i | 0.843713 | − | 0.536795i | \(-0.180365\pi\) |
−0.249801 | + | 0.968297i | \(0.580365\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.22035 | + | 8.22035i | −0.436291 | + | 0.436291i | ||||
\(356\) | 2.67379 | + | 0.423486i | 0.141710 | + | 0.0224447i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.31045 | − | 6.49712i | 0.174962 | − | 0.343383i | ||||
\(359\) | 5.59785 | + | 17.2284i | 0.295443 | + | 0.909281i | 0.983072 | + | 0.183219i | \(0.0586517\pi\) |
−0.687629 | + | 0.726062i | \(0.741348\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.0544 | + | 5.86622i | −0.950229 | + | 0.308748i | ||||
\(362\) | 1.24330 | + | 7.84987i | 0.0653462 | + | 0.412580i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.19759 | − | 0.714040i | −0.115185 | − | 0.0374258i | ||||
\(365\) | −10.2111 | + | 31.4267i | −0.534476 | + | 1.64495i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.5735 | + | 18.6823i | 0.708531 | + | 0.975210i | 0.999827 | + | 0.0185766i | \(0.00591347\pi\) |
−0.291296 | + | 0.956633i | \(0.594087\pi\) | |||||||
\(368\) | −9.41019 | −0.490540 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −28.0911 | −1.46038 | ||||||||
\(371\) | −11.8414 | − | 16.2983i | −0.614774 | − | 0.846164i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.36956 | − | 13.4481i | 0.226247 | − | 0.696317i | −0.771915 | − | 0.635725i | \(-0.780701\pi\) |
0.998163 | − | 0.0605920i | \(-0.0192989\pi\) | |||||||
\(374\) | 1.19521 | + | 0.388348i | 0.0618029 | + | 0.0200810i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.80443 | − | 11.3927i | −0.0930561 | − | 0.587533i | ||||
\(377\) | 12.0417 | − | 3.91259i | 0.620180 | − | 0.201509i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.4876 | − | 35.3552i | −0.590079 | − | 1.81608i | −0.577840 | − | 0.816150i | \(-0.696104\pi\) |
−0.0122385 | − | 0.999925i | \(-0.503896\pi\) | |||||||
\(380\) | 0.148439 | − | 0.291328i | 0.00761475 | − | 0.0149448i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −37.8741 | − | 5.99867i | −1.93781 | − | 0.306919i | ||||
\(383\) | 4.89444 | − | 4.89444i | 0.250094 | − | 0.250094i | −0.570915 | − | 0.821009i | \(-0.693411\pi\) |
0.821009 | + | 0.570915i | \(0.193411\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.44993 | + | 1.77998i | 0.124860 | + | 0.0907162i | ||||
\(386\) | 22.2607 | + | 11.3424i | 1.13304 | + | 0.577314i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.12096 | + | 0.177542i | −0.0569079 | + | 0.00901333i | ||||
\(389\) | −1.39142 | + | 1.91513i | −0.0705480 | + | 0.0971010i | −0.842833 | − | 0.538175i | \(-0.819114\pi\) |
0.772285 | + | 0.635276i | \(0.219114\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.96805 | − | 0.311708i | 0.0995284 | − | 0.0157637i | ||||
\(392\) | 6.47394 | − | 4.70359i | 0.326983 | − | 0.237567i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.29056 | − | 0.937648i | −0.0650176 | − | 0.0472380i | ||||
\(395\) | −14.1636 | − | 27.7977i | −0.712650 | − | 1.39865i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.9514 | + | 2.52646i | 0.800580 | + | 0.126799i | 0.543301 | − | 0.839538i | \(-0.317174\pi\) |
0.257278 | + | 0.966337i | \(0.417174\pi\) | |||||||
\(398\) | 0.629676 | − | 0.320836i | 0.0315628 | − | 0.0160820i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.61480 | + | 11.1252i | 0.180740 | + | 0.556261i | ||||
\(401\) | 4.77242i | 0.238323i | 0.992875 | + | 0.119162i | \(0.0380207\pi\) | ||||
−0.992875 | + | 0.119162i | \(0.961979\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.288242 | − | 1.81989i | −0.0143584 | − | 0.0906551i | ||||
\(404\) | −0.778554 | + | 4.91560i | −0.0387345 | + | 0.244560i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −7.08872 | + | 21.8168i | −0.351807 | + | 1.08275i | ||||
\(407\) | −2.96336 | − | 2.96336i | −0.146888 | − | 0.146888i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.57331 | −0.473370 | −0.236685 | − | 0.971586i | \(-0.576061\pi\) | ||||
−0.236685 | + | 0.971586i | \(0.576061\pi\) | |||||||
\(410\) | −18.8085 | − | 23.0386i | −0.928887 | − | 1.13780i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.65665 | + | 10.5385i | 0.377216 | + | 0.519194i | ||||
\(413\) | −9.32879 | − | 9.32879i | −0.459040 | − | 0.459040i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.7262 | − | 5.43468i | −0.821058 | − | 0.266778i | ||||
\(416\) | 1.17609 | − | 7.42556i | 0.0576627 | − | 0.364068i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.145231 | − | 0.0471883i | 0.00710347 | − | 0.00230806i | ||||
\(419\) | − | 8.06247i | − | 0.393878i | −0.980416 | − | 0.196939i | \(-0.936900\pi\) | ||
0.980416 | − | 0.196939i | \(-0.0631000\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −8.01644 | + | 15.7331i | −0.390697 | + | 0.766787i | −0.999651 | − | 0.0264191i | \(-0.991590\pi\) |
0.608954 | + | 0.793206i | \(0.291590\pi\) | |||||||
\(422\) | −34.2500 | + | 17.4512i | −1.66726 | + | 0.849513i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 16.0681 | − | 16.0681i | 0.780334 | − | 0.780334i | ||||
\(425\) | −1.12452 | − | 2.20699i | −0.0545471 | − | 0.107055i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.78405 | + | 1.92807i | 0.183123 | + | 0.0933058i | ||||
\(428\) | −7.24011 | + | 5.26025i | −0.349964 | + | 0.254264i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 28.8827 | − | 39.7536i | 1.39285 | − | 1.91709i | ||||
\(431\) | 5.96805 | − | 8.21431i | 0.287471 | − | 0.395670i | −0.640720 | − | 0.767775i | \(-0.721364\pi\) |
0.928191 | + | 0.372105i | \(0.121364\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 26.8766 | − | 19.5270i | 1.29161 | − | 0.938406i | 0.291769 | − | 0.956489i | \(-0.405756\pi\) |
0.999837 | + | 0.0180823i | \(0.00575610\pi\) | |||||||
\(434\) | 2.97446 | + | 1.51557i | 0.142779 | + | 0.0727495i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.00428 | − | 1.97101i | −0.0480962 | − | 0.0943941i | ||||
\(437\) | 0.171204 | − | 0.171204i | 0.00818981 | − | 0.00818981i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −32.8349 | + | 16.7302i | −1.56713 | + | 0.798490i | −0.999689 | − | 0.0249274i | \(-0.992065\pi\) |
−0.567436 | + | 0.823418i | \(0.692065\pi\) | |||||||
\(440\) | −1.55074 | + | 3.04349i | −0.0739285 | + | 0.145093i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.76776i | 0.131649i | ||||||||
\(443\) | −29.3333 | + | 9.53097i | −1.39367 | + | 0.452830i | −0.907138 | − | 0.420834i | \(-0.861738\pi\) |
−0.486530 | + | 0.873664i | \(0.661738\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.22232 | − | 7.71745i | 0.0579437 | − | 0.365842i | ||||
\(446\) | 6.64563 | + | 2.15930i | 0.314680 | + | 0.102246i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.76490 | − | 1.76490i | −0.0833837 | − | 0.0833837i | ||||
\(449\) | −17.4190 | − | 23.9753i | −0.822055 | − | 1.13146i | −0.989350 | − | 0.145555i | \(-0.953503\pi\) |
0.167295 | − | 0.985907i | \(-0.446497\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.446235 | − | 4.41451i | 0.0210124 | − | 0.207871i | ||||
\(452\) | −7.20681 | −0.338980 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 26.1743 | + | 26.1743i | 1.22842 | + | 1.22842i | ||||
\(455\) | −2.06096 | + | 6.34298i | −0.0966193 | + | 0.297364i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.18792 | + | 7.50026i | −0.0555688 | + | 0.350847i | 0.944201 | + | 0.329371i | \(0.106837\pi\) |
−0.999769 | + | 0.0214764i | \(0.993163\pi\) | |||||||
\(458\) | 2.65689 | + | 16.7750i | 0.124149 | + | 0.783843i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 4.79050i | − | 0.223358i | ||||||
\(461\) | 7.81323 | + | 24.0467i | 0.363898 | + | 1.11996i | 0.950668 | + | 0.310210i | \(0.100399\pi\) |
−0.586770 | + | 0.809754i | \(0.699601\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.1377 | − | 6.69397i | 0.610559 | − | 0.311095i | −0.121233 | − | 0.992624i | \(-0.538685\pi\) |
0.731791 | + | 0.681529i | \(0.238685\pi\) | |||||||
\(464\) | −40.9409 | − | 6.48440i | −1.90063 | − | 0.301031i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.00134 | + | 1.96523i | 0.0463860 | + | 0.0910376i | ||||
\(467\) | −17.8981 | − | 13.0037i | −0.828226 | − | 0.601742i | 0.0908306 | − | 0.995866i | \(-0.471048\pi\) |
−0.919057 | + | 0.394125i | \(0.871048\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.0784 | + | 8.04896i | −0.511555 | + | 0.371667i | ||||
\(470\) | 29.0861 | − | 4.60679i | 1.34164 | − | 0.212495i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.74689 | − | 12.0391i | 0.402608 | − | 0.554143i | ||||
\(473\) | 7.24052 | − | 1.14679i | 0.332920 | − | 0.0527293i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.268172 | − | 0.136641i | −0.0123046 | − | 0.00626950i | ||||
\(476\) | −1.29590 | − | 0.941523i | −0.0593973 | − | 0.0431546i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.60238 | + | 8.60238i | −0.393464 | + | 0.393464i | ||||
\(479\) | 15.6892 | + | 2.48493i | 0.716859 | + | 0.113539i | 0.504200 | − | 0.863587i | \(-0.331787\pi\) |
0.212660 | + | 0.977126i | \(0.431787\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.19022 | − | 8.22377i | 0.191058 | − | 0.374972i | ||||
\(482\) | 5.71468 | + | 17.5880i | 0.260297 | + | 0.801110i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9.39192 | + | 3.05162i | −0.426905 | + | 0.138710i | ||||
\(485\) | 0.512446 | + | 3.23546i | 0.0232690 | + | 0.146915i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 20.0083 | + | 6.50110i | 0.906664 | + | 0.294593i | 0.724985 | − | 0.688765i | \(-0.241847\pi\) |
0.181679 | + | 0.983358i | \(0.441847\pi\) | |||||||
\(488\) | −1.48031 | + | 4.55593i | −0.0670105 | + | 0.206237i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 12.0085 | + | 16.5283i | 0.542489 | + | 0.746673i | ||||
\(491\) | 0.0541126 | 0.00244207 | 0.00122103 | − | 0.999999i | \(-0.499611\pi\) | ||||
0.00122103 | + | 0.999999i | \(0.499611\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 8.77717 | 0.395304 | ||||||||
\(494\) | 0.197680 | + | 0.272083i | 0.00889402 | + | 0.0122416i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.86407 | + | 5.73702i | −0.0836992 | + | 0.257600i | ||||
\(497\) | 6.58168 | + | 2.13852i | 0.295229 | + | 0.0959256i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.08470 | + | 32.1035i | 0.227623 | + | 1.43715i | 0.791437 | + | 0.611251i | \(0.209333\pi\) |
−0.563815 | + | 0.825901i | \(0.690667\pi\) | |||||||
\(500\) | 6.43133 | − | 2.08966i | 0.287618 | − | 0.0934526i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.98001 | − | 9.17151i | −0.133004 | − | 0.409345i | ||||
\(503\) | 14.6571 | − | 28.7662i | 0.653529 | − | 1.28262i | −0.291793 | − | 0.956482i | \(-0.594252\pi\) |
0.945321 | − | 0.326140i | \(-0.105748\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.1881 | + | 2.24717i | 0.631362 | + | 0.0999979i | ||||
\(506\) | 1.58204 | − | 1.58204i | 0.0703302 | − | 0.0703302i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.73284 | − | 3.43861i | −0.209986 | − | 0.152564i | ||||
\(509\) | 25.7195 | + | 13.1047i | 1.14000 | + | 0.580857i | 0.918938 | − | 0.394403i | \(-0.129049\pi\) |
0.221059 | + | 0.975260i | \(0.429049\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 19.4284 | − | 3.07716i | 0.859462 | − | 0.136125i | ||||
\(512\) | −3.78156 | + | 5.20487i | −0.167123 | + | 0.230025i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 37.2232 | − | 5.89558i | 1.64185 | − | 0.260043i | ||||
\(515\) | 30.4176 | − | 22.0997i | 1.34036 | − | 0.973829i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.55431 | + | 2.58236i | 0.156318 | + | 0.113572i | ||||
\(518\) | 7.59172 | + | 14.8996i | 0.333561 | + | 0.654650i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.43022 | − | 1.17683i | −0.325837 | − | 0.0516075i | ||||
\(521\) | −15.6014 | + | 7.94931i | −0.683509 | + | 0.348265i | −0.761022 | − | 0.648726i | \(-0.775302\pi\) |
0.0775127 | + | 0.996991i | \(0.475302\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.25075 | + | 6.92710i | 0.0984185 | + | 0.302901i | 0.988130 | − | 0.153623i | \(-0.0490942\pi\) |
−0.889711 | + | 0.456524i | \(0.849094\pi\) | |||||||
\(524\) | − | 0.680896i | − | 0.0297451i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.57178 | − | 9.92380i | −0.0685327 | − | 0.432698i | ||||
\(527\) | 0.199816 | − | 1.26159i | 0.00870411 | − | 0.0549556i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.01119 | + | 18.5005i | −0.261356 | + | 0.804371i | ||||
\(530\) | 41.0226 | + | 41.0226i | 1.78191 | + | 1.78191i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.194637 | −0.00843860 | ||||||||
\(533\) | 9.55023 | − | 2.06971i | 0.413667 | − | 0.0896491i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 15.1829 | + | 20.8974i | 0.656413 | + | 0.903474i | ||||
\(536\) | −10.9220 | − | 10.9220i | −0.471757 | − | 0.471757i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 22.3853 | + | 7.27343i | 0.965100 | + | 0.313580i | ||||
\(539\) | −0.476798 | + | 3.01039i | −0.0205372 | + | 0.129667i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −28.9790 | + | 9.41585i | −1.24590 | + | 0.404819i | −0.856451 | − | 0.516228i | \(-0.827336\pi\) |
−0.389453 | + | 0.921046i | \(0.627336\pi\) | |||||||
\(542\) | 27.2790i | 1.17173i | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.36608 | − | 4.64368i | 0.101445 | − | 0.199096i | ||||
\(545\) | −5.68900 | + | 2.89869i | −0.243690 | + | 0.124166i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −22.9755 | + | 22.9755i | −0.982360 | + | 0.982360i | −0.999847 | − | 0.0174867i | \(-0.994434\pi\) |
0.0174867 | + | 0.999847i | \(0.494434\pi\) | |||||||
\(548\) | −7.95254 | − | 15.6077i | −0.339716 | − | 0.666729i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.47809 | − | 1.26265i | −0.105666 | − | 0.0538395i | ||||
\(551\) | 0.862832 | − | 0.626884i | 0.0367579 | − | 0.0267062i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −10.9162 | + | 15.0249i | −0.464205 | + | 0.638923i | ||||
\(554\) | 19.3427 | − | 26.6230i | 0.821793 | − | 1.13110i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.81727 | − | 3.49995i | 0.204298 | − | 0.148431i | ||||
\(557\) | 22.1309 | + | 11.2762i | 0.937716 | + | 0.477790i | 0.854910 | − | 0.518776i | \(-0.173612\pi\) |
0.0828053 | + | 0.996566i | \(0.473612\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.32972 | + | 14.3854i | 0.310014 | + | 0.608437i | ||||
\(560\) | 15.4393 | − | 15.4393i | 0.652429 | − | 0.652429i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.21634 | − | 1.12928i | 0.0934907 | − | 0.0476359i | ||||
\(563\) | −11.3113 | + | 22.1997i | −0.476716 | + | 0.935608i | 0.519964 | + | 0.854188i | \(0.325945\pi\) |
−0.996680 | + | 0.0814196i | \(0.974055\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.8013i | 0.875118i | ||||||||
\(566\) | −15.3634 | + | 4.99188i | −0.645773 | + | 0.209824i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.22112 | + | 7.70983i | −0.0512370 | + | 0.323497i | ||||
\(569\) | 13.3652 | + | 4.34260i | 0.560297 | + | 0.182051i | 0.575455 | − | 0.817834i | \(-0.304825\pi\) |
−0.0151580 | + | 0.999885i | \(0.504825\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −21.7176 | − | 21.7176i | −0.908854 | − | 0.908854i | 0.0873260 | − | 0.996180i | \(-0.472168\pi\) |
−0.996180 | + | 0.0873260i | \(0.972168\pi\) | |||||||
\(572\) | 0.583505 | + | 0.803126i | 0.0243976 | + | 0.0335804i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −7.13667 | + | 16.2024i | −0.297879 | + | 0.676274i | ||||
\(575\) | −4.40974 | −0.183899 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.105596 | + | 0.105596i | 0.00439603 | + | 0.00439603i | 0.709301 | − | 0.704905i | \(-0.249011\pi\) |
−0.704905 | + | 0.709301i | \(0.749011\pi\) | |||||||
\(578\) | 8.41266 | − | 25.8915i | 0.349921 | − | 1.07694i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.30105 | − | 20.8420i | 0.137069 | − | 0.865418i | ||||
\(581\) | 1.63776 | + | 10.3404i | 0.0679456 | + | 0.428992i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.65505i | 0.358456i | ||||||||
\(584\) | 6.85637 | + | 21.1017i | 0.283719 | + | 0.873196i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.65714 | + | 0.844356i | −0.0684559 | + | 0.0348800i | ||||
\(587\) | −15.8079 | − | 2.50372i | −0.652460 | − | 0.103339i | −0.178575 | − | 0.983926i | \(-0.557149\pi\) |
−0.473885 | + | 0.880587i | \(0.657149\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.0704625 | − | 0.138290i | −0.00290335 | − | 0.00569815i | ||||
\(590\) | 30.7363 | + | 22.3313i | 1.26540 | + | 0.919363i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −24.4457 | + | 17.7609i | −1.00471 | + | 0.729967i | ||||
\(593\) | −1.94396 | + | 0.307893i | −0.0798289 | + | 0.0126436i | −0.196221 | − | 0.980560i | \(-0.562867\pi\) |
0.116392 | + | 0.993203i | \(0.462867\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.71756 | + | 3.74039i | −0.111409 | + | 0.153341i | ||||
\(596\) | 11.9871 | − | 1.89857i | 0.491010 | − | 0.0777683i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.39039 | + | 2.23702i | 0.179537 | + | 0.0914785i | ||||
\(599\) | −15.0623 | − | 10.9434i | −0.615429 | − | 0.447136i | 0.235893 | − | 0.971779i | \(-0.424199\pi\) |
−0.851322 | + | 0.524644i | \(0.824199\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.07160 | − | 7.07160i | 0.288456 | − | 0.288456i | −0.548013 | − | 0.836470i | \(-0.684616\pi\) |
0.836470 | + | 0.548013i | \(0.184616\pi\) | |||||||
\(602\) | −28.8911 | − | 4.57590i | −1.17751 | − | 0.186500i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.595015 | − | 1.16778i | 0.0242108 | − | 0.0475164i | ||||
\(605\) | 8.80801 | + | 27.1083i | 0.358096 | + | 1.10211i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 36.0725 | − | 11.7207i | 1.46414 | − | 0.475727i | 0.534806 | − | 0.844975i | \(-0.320385\pi\) |
0.929331 | + | 0.369248i | \(0.120385\pi\) | |||||||
\(608\) | −0.0990668 | − | 0.625483i | −0.00401769 | − | 0.0253667i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.6315 | − | 3.77931i | −0.470946 | − | 0.153020i | ||||
\(611\) | −2.99000 | + | 9.20226i | −0.120962 | + | 0.372284i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −15.8786 | − | 21.8550i | −0.641331 | − | 0.882717i | 0.357354 | − | 0.933969i | \(-0.383679\pi\) |
−0.998686 | + | 0.0512520i | \(0.983679\pi\) | |||||||
\(614\) | 50.8222 | 2.05102 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.03337 | 0.0819269 | ||||||||
\(617\) | 5.89230 | + | 8.11005i | 0.237215 | + | 0.326498i | 0.910983 | − | 0.412445i | \(-0.135325\pi\) |
−0.673768 | + | 0.738943i | \(0.735325\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.2987 | − | 31.6960i | 0.413938 | − | 1.27397i | −0.499259 | − | 0.866453i | \(-0.666394\pi\) |
0.913197 | − | 0.407518i | \(-0.133606\pi\) | |||||||
\(620\) | −2.92058 | − | 0.948953i | −0.117293 | − | 0.0381109i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 4.62518 | + | 29.2022i | 0.185453 | + | 1.17090i | ||||
\(623\) | −4.42370 | + | 1.43735i | −0.177232 | + | 0.0575861i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.64900 | − | 29.6966i | −0.385960 | − | 1.18786i | ||||
\(626\) | 1.26262 | − | 2.47803i | 0.0504643 | − | 0.0990418i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.2821 | − | 2.57883i | −0.649727 | − | 0.102907i | ||||
\(629\) | 4.52426 | − | 4.52426i | 0.180394 | − | 0.180394i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.52090 | + | 6.19080i | 0.339212 | + | 0.246452i | 0.744329 | − | 0.667813i | \(-0.232769\pi\) |
−0.405117 | + | 0.914265i | \(0.632769\pi\) | |||||||
\(632\) | −18.6650 | − | 9.51032i | −0.742456 | − | 0.378300i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 27.5867 | − | 4.36931i | 1.09561 | − | 0.173527i | ||||
\(635\) | −9.92500 | + | 13.6606i | −0.393862 | + | 0.542104i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.62999 | + | 1.05009i | −0.262690 | + | 0.0416060i | ||||
\(638\) | 7.97313 | − | 5.79282i | 0.315659 | − | 0.229340i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 27.4121 | + | 19.9160i | 1.08356 | + | 0.787250i | ||||
\(641\) | 2.10778 | + | 4.13674i | 0.0832521 | + | 0.163391i | 0.928879 | − | 0.370382i | \(-0.120773\pi\) |
−0.845627 | + | 0.533774i | \(0.820773\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −29.6739 | − | 4.69989i | −1.17023 | − | 0.185346i | −0.459083 | − | 0.888393i | \(-0.651822\pi\) |
−0.711143 | + | 0.703048i | \(0.751822\pi\) | |||||||
\(644\) | −2.54090 | + | 1.29465i | −0.100125 | + | 0.0510164i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.0720440 | + | 0.221729i | 0.00283453 | + | 0.00872379i | ||||
\(647\) | 16.4853i | 0.648104i | 0.946039 | + | 0.324052i | \(0.105045\pi\) | ||||
−0.946039 | + | 0.324052i | \(0.894955\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.886663 | + | 5.59817i | 0.0348046 | + | 0.219747i | ||||
\(650\) | 0.958206 | − | 6.04988i | 0.0375839 | − | 0.237296i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5.10782 | + | 15.7202i | −0.200038 | + | 0.615652i | ||||
\(653\) | −23.6145 | − | 23.6145i | −0.924105 | − | 0.924105i | 0.0732110 | − | 0.997316i | \(-0.476675\pi\) |
−0.997316 | + | 0.0732110i | \(0.976675\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.96530 | −0.0767905 | ||||||||
\(656\) | −30.9342 | − | 8.15703i | −1.20778 | − | 0.318478i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −10.3041 | − | 14.1824i | −0.401696 | − | 0.552887i | ||||
\(659\) | 3.37421 | + | 3.37421i | 0.131441 | + | 0.131441i | 0.769766 | − | 0.638326i | \(-0.220373\pi\) |
−0.638326 | + | 0.769766i | \(0.720373\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.2982 | + | 3.99593i | 0.478345 | + | 0.155424i | 0.538258 | − | 0.842780i | \(-0.319082\pi\) |
−0.0599133 | + | 0.998204i | \(0.519082\pi\) | |||||||
\(662\) | 6.79942 | − | 42.9298i | 0.264267 | − | 1.66852i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −11.2310 | + | 3.64917i | −0.435847 | + | 0.141615i | ||||
\(665\) | 0.561789i | 0.0217853i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.09406 | − | 13.9229i | 0.274683 | − | 0.539096i | ||||
\(668\) | −2.32193 | + | 1.18308i | −0.0898383 | + | 0.0457749i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 27.8843 | − | 27.8843i | 1.07727 | − | 1.07727i | ||||
\(671\) | −0.828340 | − | 1.62571i | −0.0319777 | − | 0.0627598i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.66568 | + | 2.88681i | 0.218396 | + | 0.111278i | 0.559766 | − | 0.828651i | \(-0.310891\pi\) |
−0.341370 | + | 0.939929i | \(0.610891\pi\) | |||||||
\(674\) | −36.3963 | + | 26.4435i | −1.40193 | + | 1.01856i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.88791 | − | 8.10402i | 0.226458 | − | 0.311693i | ||||
\(677\) | 20.5198 | − | 28.2431i | 0.788642 | − | 1.08547i | −0.205634 | − | 0.978629i | \(-0.565926\pi\) |
0.994276 | − | 0.106843i | \(-0.0340743\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.57761 | − | 1.14620i | 0.0605430 | − | 0.0439871i | ||||
\(680\) | −4.64660 | − | 2.36756i | −0.178189 | − | 0.0907918i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.651119 | − | 1.27789i | −0.0249326 | − | 0.0489331i | ||||
\(683\) | −17.6969 | + | 17.6969i | −0.677154 | + | 0.677154i | −0.959355 | − | 0.282201i | \(-0.908935\pi\) |
0.282201 | + | 0.959355i | \(0.408935\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −45.0492 | + | 22.9537i | −1.72124 | + | 0.877017i | ||||
\(686\) | 14.3082 | − | 28.0815i | 0.546291 | − | 1.07216i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 52.8562i | − | 2.01512i | ||||||
\(689\) | −18.1287 | + | 5.89037i | −0.690649 | + | 0.224405i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 4.16500 | − | 26.2968i | 0.158444 | − | 1.00038i | −0.772446 | − | 0.635080i | \(-0.780967\pi\) |
0.930891 | − | 0.365298i | \(-0.119033\pi\) | |||||||
\(692\) | −10.4541 | − | 3.39675i | −0.397406 | − | 0.129125i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 20.2037 | + | 20.2037i | 0.766923 | + | 0.766923i | ||||
\(695\) | −10.1020 | − | 13.9043i | −0.383192 | − | 0.527419i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.73977 | + | 0.681281i | 0.255287 | + | 0.0258053i | ||||
\(698\) | 14.8295 | 0.561306 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.50666 | + | 2.50666i | 0.0947427 | + | 0.0947427i | ||||
\(701\) | −6.42667 | + | 19.7793i | −0.242732 | + | 0.747052i | 0.753269 | + | 0.657712i | \(0.228476\pi\) |
−0.996001 | + | 0.0893399i | \(0.971524\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.121621 | − | 0.767886i | 0.00458703 | − | 0.0289614i | ||||
\(704\) | 0.167746 | + | 1.05911i | 0.00632218 | + | 0.0399167i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 23.6446i | 0.889874i | ||||||||
\(707\) | −2.64248 | − | 8.13272i | −0.0993807 | − | 0.305862i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.83436 | − | 3.99181i | 0.294226 | − | 0.149915i | −0.300647 | − | 0.953736i | \(-0.597203\pi\) |
0.594872 | + | 0.803820i | \(0.297203\pi\) | |||||||
\(710\) | −19.6836 | − | 3.11758i | −0.738712 | − | 0.117001i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.38188 | − | 4.67471i | −0.0892649 | − | 0.175192i | ||||
\(713\) | −1.83971 | − | 1.33662i | −0.0688975 | − | 0.0500570i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.31809 | − | 1.68419i | 0.0866918 | − | 0.0629852i | ||||
\(716\) | 3.94384 | − | 0.624643i | 0.147388 | − | 0.0233440i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −18.2531 | + | 25.1233i | −0.681201 | + | 0.937593i | ||||
\(719\) | −12.8945 | + | 2.04229i | −0.480885 | + | 0.0761647i | −0.392171 | − | 0.919892i | \(-0.628276\pi\) |
−0.0887143 | + | 0.996057i | \(0.528276\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −19.9422 | − | 10.1611i | −0.742688 | − | 0.378418i | ||||
\(722\) | −26.3277 | − | 19.1282i | −0.979816 | − | 0.711878i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.07742 | + | 3.07742i | −0.114371 | + | 0.114371i | ||||
\(725\) | −19.1855 | − | 3.03868i | −0.712530 | − | 0.112854i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.5723 | + | 24.6746i | −0.466282 | + | 0.915131i | 0.531402 | + | 0.847120i | \(0.321665\pi\) |
−0.997685 | + | 0.0680111i | \(0.978335\pi\) | |||||||
\(728\) | 1.38385 | + | 4.25906i | 0.0512890 | + | 0.157851i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −53.8738 | + | 17.5047i | −1.99396 | + | 0.647877i | ||||
\(731\) | 1.75084 | + | 11.0543i | 0.0647570 | + | 0.408860i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −23.2536 | − | 7.55554i | −0.858890 | − | 0.279070i | −0.153725 | − | 0.988114i | \(-0.549127\pi\) |
−0.705165 | + | 0.709043i | \(0.749127\pi\) | |||||||
\(734\) | −12.2331 | + | 37.6495i | −0.451531 | + | 1.38967i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.45374 | − | 7.50643i | −0.201027 | − | 0.276690i | ||||
\(737\) | 5.88311 | 0.216707 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −35.1342 | −1.29243 | −0.646215 | − | 0.763155i | \(-0.723649\pi\) | ||||
−0.646215 | + | 0.763155i | \(0.723649\pi\) | |||||||
\(740\) | −9.04162 | − | 12.4447i | −0.332377 | − | 0.457477i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.6720 | − | 32.8450i | 0.391782 | − | 1.20578i | ||||
\(743\) | −5.44093 | − | 1.76787i | −0.199608 | − | 0.0648567i | 0.207507 | − | 0.978234i | \(-0.433465\pi\) |
−0.407115 | + | 0.913377i | \(0.633465\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.47991 | − | 34.5988i | −0.200768 | − | 1.26760i | ||||
\(746\) | 23.0537 | − | 7.49061i | 0.844057 | − | 0.274251i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.212657 | + | 0.654492i | 0.00777552 | + | 0.0239306i | ||||
\(749\) | 6.98083 | − | 13.7007i | 0.255074 | − | 0.500611i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.5290 | − | 1.82601i | −0.420699 | − | 0.0666322i | −0.0575040 | − | 0.998345i | \(-0.518314\pi\) |
−0.363195 | + | 0.931713i | \(0.618314\pi\) | |||||||
\(752\) | 22.3990 | − | 22.3990i | 0.816807 | − | 0.816807i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 17.5598 | + | 12.7579i | 0.639490 | + | 0.464617i | ||||
\(755\) | −3.37062 | − | 1.71741i | −0.122669 | − | 0.0625031i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 37.9100 | − | 6.00436i | 1.37786 | − | 0.218232i | 0.576836 | − | 0.816860i | \(-0.304287\pi\) |
0.801027 | + | 0.598628i | \(0.204287\pi\) | |||||||
\(758\) | 37.4581 | − | 51.5566i | 1.36054 | − | 1.87262i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.625876 | + | 0.0991290i | −0.0227029 | + | 0.00359579i | ||||
\(761\) | −39.0623 | + | 28.3804i | −1.41601 | + | 1.02879i | −0.423591 | + | 0.905854i | \(0.639231\pi\) |
−0.992415 | + | 0.122935i | \(0.960769\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.07495 | + | 2.23408i | 0.111321 | + | 0.0808792i | ||||
\(764\) | −9.53299 | − | 18.7095i | −0.344891 | − | 0.676887i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 11.7197 | + | 1.85622i | 0.423451 | + | 0.0670680i | ||||
\(767\) | −11.1224 | + | 5.66713i | −0.401606 | + | 0.204628i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.21277 | + | 3.73252i | 0.0437336 | + | 0.134598i | 0.970539 | − | 0.240943i | \(-0.0774568\pi\) |
−0.926806 | + | 0.375541i | \(0.877457\pi\) | |||||||
\(770\) | 5.19130i | 0.187082i | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.14018 | + | 13.5126i | 0.0770269 | + | 0.486329i | ||||
\(773\) | 5.21943 | − | 32.9542i | 0.187730 | − | 1.18528i | −0.696265 | − | 0.717784i | \(-0.745156\pi\) |
0.883995 | − | 0.467496i | \(-0.154844\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.873528 | + | 2.68844i | −0.0313781 | + | 0.0965717i | ||||
\(776\) | 1.55532 | + | 1.55532i | 0.0558329 | + | 0.0558329i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.05808 | −0.145489 | ||||||||
\(779\) | 0.711206 | − | 0.414396i | 0.0254816 | − | 0.0148473i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.74757 | − | 2.40533i | −0.0625330 | − | 0.0860693i | ||||
\(782\) | 2.41535 | + | 2.41535i | 0.0863727 | + | 0.0863727i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 20.9004 | + | 6.79095i | 0.746443 | + | 0.242534i | ||||
\(785\) | −7.44338 | + | 46.9957i | −0.265666 | + | 1.67735i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −10.7260 | + | 3.48510i | −0.382342 | + | 0.124230i | −0.493881 | − | 0.869530i | \(-0.664422\pi\) |
0.111539 | + | 0.993760i | \(0.464422\pi\) | |||||||
\(788\) | − | 0.873536i | − | 0.0311184i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 24.2803 | − | 47.6528i | 0.863855 | − | 1.69541i | ||||
\(791\) | 11.0331 | − | 5.62164i | 0.392291 | − | 0.199882i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.84143 | − | 2.84143i | 0.100902 | − | 0.100902i | ||||
\(794\) | 12.5692 | + | 24.6684i | 0.446063 | + | 0.875447i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.344807 | + | 0.175688i | 0.0122214 | + | 0.00622710i | ||||
\(797\) | −23.1041 | + | 16.7861i | −0.818391 | + | 0.594596i | −0.916251 | − | 0.400604i | \(-0.868800\pi\) |
0.0978602 | + | 0.995200i | \(0.468800\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.94257 | + | 5.42648i | −0.139478 | + | 0.191975i | ||||
\(800\) | −6.77951 | + | 9.33119i | −0.239692 | + | 0.329907i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.61875 | + | 4.80880i | −0.233716 | + | 0.169805i | ||||
\(803\) | −7.52981 | − | 3.83663i | −0.265721 | − | 0.135392i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.73680 | + | 7.33389i | 0.131705 | + | 0.258486i | ||||
\(806\) | 2.23352 | − | 2.23352i | 0.0786723 | − | 0.0786723i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.59419 | − | 4.37896i | 0.302343 | − | 0.154051i | ||||
\(809\) | −4.83865 | + | 9.49639i | −0.170118 | + | 0.333875i | −0.960287 | − | 0.279013i | \(-0.909993\pi\) |
0.790169 | + | 0.612889i | \(0.209993\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 33.8780i | 1.18962i | 0.803867 | + | 0.594809i | \(0.202772\pi\) | ||||
−0.803867 | + | 0.594809i | \(0.797228\pi\) | |||||||
\(812\) | −11.9468 | + | 3.88175i | −0.419250 | + | 0.136223i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.12386 | − | 7.09577i | 0.0393912 | − | 0.248706i | ||||
\(815\) | 45.3739 | + | 14.7429i | 1.58938 | + | 0.516421i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.961639 | + | 0.961639i | 0.0336435 | + | 0.0336435i | ||||
\(818\) | −9.64629 | − | 13.2770i | −0.337275 | − | 0.464219i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.15254 | − | 15.7478i | 0.145013 | − | 0.549938i | ||||
\(821\) | −50.1853 | −1.75148 | −0.875739 | − | 0.482785i | \(-0.839625\pi\) | ||||
−0.875739 | + | 0.482785i | \(0.839625\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −31.8583 | − | 31.8583i | −1.11051 | − | 1.11051i | −0.993081 | − | 0.117431i | \(-0.962534\pi\) |
−0.117431 | − | 0.993081i | \(-0.537466\pi\) | |||||||
\(824\) | 7.80136 | − | 24.0101i | 0.271773 | − | 0.836432i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.53796 | − | 22.3378i | 0.123101 | − | 0.777231i | ||||
\(827\) | 0.559901 | + | 3.53508i | 0.0194697 | + | 0.122927i | 0.995509 | − | 0.0946679i | \(-0.0301789\pi\) |
−0.976039 | + | 0.217595i | \(0.930179\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.5904i | 0.645672i | 0.946455 | + | 0.322836i | \(0.104636\pi\) | ||||
−0.946455 | + | 0.322836i | \(0.895364\pi\) | |||||||
\(830\) | −9.31652 | − | 28.6733i | −0.323381 | − | 0.995265i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.10423 | + | 1.07216i | −0.0729509 | + | 0.0371703i | ||||
\(833\) | −4.59605 | − | 0.727944i | −0.159244 | − | 0.0252217i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.41478 | + | 6.70188i | 0.118173 | + | 0.231928i | ||||
\(836\) | 0.0676503 | + | 0.0491508i | 0.00233973 | + | 0.00169992i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.1816 | − | 8.12394i | 0.386263 | − | 0.280637i | ||||
\(839\) | 35.8357 | − | 5.67582i | 1.23719 | − | 0.195951i | 0.496640 | − | 0.867957i | \(-0.334567\pi\) |
0.740546 | + | 0.672006i | \(0.234567\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.4124 | − | 32.2244i | 0.807324 | − | 1.11119i | ||||
\(842\) | −29.8975 | + | 4.73529i | −1.03033 | + | 0.163189i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −18.7551 | − | 9.55622i | −0.645578 | − | 0.328939i | ||||
\(845\) | −23.3909 | − | 16.9945i | −0.804673 | − | 0.584629i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.9979 | − | 11.9979i | 0.412253 | − | 0.412253i | ||||
\(848\) | 61.6362 | + | 9.76221i | 2.11659 | + | 0.335236i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1.92773 | − | 3.78338i | 0.0661205 | − | 0.129769i | ||||
\(851\) | −3.51997 | − | 10.8333i | −0.120663 | − | 0.371362i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −15.2753 | + | 4.96325i | −0.523017 | + | 0.169939i | −0.558614 | − | 0.829428i | \(-0.688667\pi\) |
0.0355971 | + | 0.999366i | \(0.488667\pi\) | |||||||
\(854\) | 1.13891 | + | 7.19077i | 0.0389726 | + | 0.246063i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 16.4953 | + | 5.35966i | 0.563799 | + | 0.183190i | ||||
\(857\) | 4.88329 | − | 15.0292i | 0.166810 | − | 0.513389i | −0.832355 | − | 0.554243i | \(-0.813008\pi\) |
0.999165 | + | 0.0408542i | \(0.0130079\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.8857 | − | 16.3593i | −0.405535 | − | 0.558171i | 0.556587 | − | 0.830789i | \(-0.312110\pi\) |
−0.962122 | + | 0.272618i | \(0.912110\pi\) | |||||||
\(860\) | 26.9078 | 0.917548 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 17.4058 | 0.592843 | ||||||||
\(863\) | 6.30383 | + | 8.67648i | 0.214585 | + | 0.295351i | 0.902717 | − | 0.430234i | \(-0.141569\pi\) |
−0.688132 | + | 0.725585i | \(0.741569\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.80418 | + | 30.1742i | −0.333352 | + | 1.02595i | ||||
\(866\) | 54.1629 | + | 17.5986i | 1.84053 | + | 0.598025i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.285970 | + | 1.80554i | 0.00970644 | + | 0.0612841i | ||||
\(869\) | 7.58832 | − | 2.46560i | 0.257416 | − | 0.0836396i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.00387 | + | 12.3226i | 0.135666 | + | 0.417537i | ||||
\(872\) | −1.94635 | + | 3.81993i | −0.0659118 | + | 0.129359i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.409948 | + | 0.0649294i | 0.0138667 | + | 0.00219627i | ||||
\(875\) | −8.21584 | + | 8.21584i | −0.277746 | + | 0.277746i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 9.77788 | + | 7.10405i | 0.330176 | + | 0.239887i | 0.740505 | − | 0.672051i | \(-0.234586\pi\) |
−0.410330 | + | 0.911937i | \(0.634586\pi\) | |||||||
\(878\) | −56.2880 | − | 28.6802i | −1.89963 | − | 0.967908i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −9.26506 | + | 1.46744i | −0.312325 | + | 0.0494674i | ||||
\(881\) | −5.54253 | + | 7.62863i | −0.186732 | + | 0.257015i | −0.892112 | − | 0.451815i | \(-0.850777\pi\) |
0.705379 | + | 0.708830i | \(0.250777\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.2136 | + | 3.67668i | −0.781200 | + | 0.123730i | −0.534282 | − | 0.845306i | \(-0.679418\pi\) |
−0.246918 | + | 0.969036i | \(0.579418\pi\) | |||||||
\(884\) | −1.22616 | + | 0.890856i | −0.0412402 | + | 0.0299627i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −42.7752 | − | 31.0780i | −1.43706 | − | 1.04409i | ||||
\(887\) | 22.0210 | + | 43.2187i | 0.739394 | + | 1.45114i | 0.886842 | + | 0.462073i | \(0.152894\pi\) |
−0.147448 | + | 0.989070i | \(0.547106\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.92789 | + | 1.57242i | 0.332971 | + | 0.0527374i | ||||
\(890\) | 11.9348 | − | 6.08107i | 0.400055 | − | 0.203838i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.18242 | + | 3.63912i | 0.0395904 | + | 0.121847i | ||||
\(893\) | 0.815032i | 0.0272740i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.80293 | − | 11.3833i | −0.0602654 | − | 0.380500i | ||||
\(896\) | 3.15531 | − | 19.9218i | 0.105411 | − | 0.665542i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 15.6988 | − | 48.3161i | 0.523877 | − | 1.61233i | ||||
\(899\) | −7.08296 | − | 7.08296i | −0.236230 | − | 0.236230i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.2140 | −0.440221 | ||||||||
\(902\) | 6.57201 | − | 3.82929i | 0.218824 | − | 0.127501i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 8.20974 | + | 11.2997i | 0.273052 | + | 0.375824i | ||||
\(905\) | 8.88248 | + | 8.88248i | 0.295264 | + | 0.295264i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −8.16520 | − | 2.65304i | −0.271121 | − | 0.0880926i | 0.170301 | − | 0.985392i | \(-0.445526\pi\) |
−0.441422 | + | 0.897299i | \(0.645526\pi\) | |||||||
\(908\) | −3.17090 | + | 20.0202i | −0.105230 | + | 0.664395i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.8736 | + | 3.53305i | −0.360456 | + | 0.117119i | ||||
\(911\) | 21.0427i | 0.697176i | 0.937276 | + | 0.348588i | \(0.113339\pi\) | ||||
−0.937276 | + | 0.348588i | \(0.886661\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.04197 | − | 4.00760i | 0.0675794 | − | 0.132632i | ||||
\(914\) | −11.5989 | + | 5.90994i | −0.383658 | + | 0.195483i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −6.57638 | + | 6.57638i | −0.217290 | + | 0.217290i | ||||
\(917\) | 0.531129 | + | 1.04240i | 0.0175394 | + | 0.0344231i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 42.6461 | + | 21.7293i | 1.40676 | + | 0.716782i | 0.982063 | − | 0.188552i | \(-0.0603794\pi\) |
0.424700 | + | 0.905334i | \(0.360379\pi\) | |||||||
\(920\) | −7.51114 | + | 5.45716i | −0.247635 | + | 0.179917i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −25.4769 | + | 35.0659i | −0.839037 | + | 1.15484i | ||||
\(923\) | 3.84880 | − | 5.29742i | 0.126685 | − | 0.174367i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.4556 | + | 8.32298i | −0.376658 | + | 0.273658i | ||||
\(926\) | 22.5215 | + | 11.4753i | 0.740103 | + | 0.377101i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −18.5550 | − | 36.4163i | −0.609099 | − | 1.19542i | ||||
\(929\) | 36.8866 | − | 36.8866i | 1.21021 | − | 1.21021i | 0.239254 | − | 0.970957i | \(-0.423097\pi\) |
0.970957 | − | 0.239254i | \(-0.0769028\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.503802 | + | 0.256700i | −0.0165115 | + | 0.00841300i | ||||
\(932\) | −0.548327 | + | 1.07615i | −0.0179610 | + | 0.0352505i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 37.9253i | − | 1.24096i | ||||||
\(935\) | 1.88909 | − | 0.613801i | 0.0617797 | − | 0.0200735i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.38729 | − | 15.0727i | 0.0779893 | − | 0.492405i | −0.917516 | − | 0.397699i | \(-0.869809\pi\) |
0.995505 | − | 0.0947061i | \(-0.0301911\pi\) | |||||||
\(938\) | −22.3258 | − | 7.25409i | −0.728963 | − | 0.236855i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 11.4028 | + | 11.4028i | 0.371918 | + | 0.371918i | ||||
\(941\) | −32.5243 | − | 44.7658i | −1.06026 | − | 1.45932i | −0.879561 | − | 0.475787i | \(-0.842163\pi\) |
−0.180701 | − | 0.983538i | \(-0.557837\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.52804 | − | 10.1404i | 0.212582 | − | 0.330217i | ||||
\(944\) | 40.8669 | 1.33011 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 8.88617 | + | 8.88617i | 0.288914 | + | 0.288914i | ||||
\(947\) | 0.485672 | − | 1.49474i | 0.0157822 | − | 0.0485727i | −0.942855 | − | 0.333203i | \(-0.891871\pi\) |
0.958637 | + | 0.284630i | \(0.0918707\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.91156 | − | 18.3829i | 0.0945133 | − | 0.596734i | ||||
\(950\) | −0.0807133 | − | 0.509604i | −0.00261869 | − | 0.0165337i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.10441i | 0.100615i | ||||||||
\(953\) | −13.1845 | − | 40.5778i | −0.427089 | − | 1.31444i | −0.900980 | − | 0.433861i | \(-0.857151\pi\) |
0.473891 | − | 0.880584i | \(-0.342849\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −54.0021 | + | 27.5154i | −1.74747 | + | 0.890379i | ||||
\(956\) | −6.57981 | − | 1.04214i | −0.212806 | − | 0.0337052i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 12.3626 | + | 24.2629i | 0.399416 | + | 0.783898i | ||||
\(959\) | 24.3495 | + | 17.6909i | 0.786285 | + | 0.571270i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.9002 | − | 17.3645i | 0.770975 | − | 0.560146i | ||||
\(962\) | 15.6275 | − | 2.47515i | 0.503851 | − | 0.0798022i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.95234 | + | 8.19270i | −0.191712 | + | 0.263869i | ||||
\(965\) | 39.0019 | − | 6.17730i | 1.25552 | − | 0.198854i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.68798 | + | 1.87912i | 0.118597 | + | 0.0604284i | 0.512283 | − | 0.858817i | \(-0.328800\pi\) |
−0.393685 | + | 0.919245i | \(0.628800\pi\) | |||||||
\(968\) | 15.4836 | + | 11.2495i | 0.497663 | + | 0.361573i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.97082 | + | 3.97082i | −0.127495 | + | 0.127495i | ||||
\(971\) | −15.8383 | − | 2.50854i | −0.508276 | − | 0.0805030i | −0.102971 | − | 0.994684i | \(-0.532835\pi\) |
−0.405305 | + | 0.914181i | \(0.632835\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.64475 | + | 9.11584i | −0.148904 | + | 0.292240i | ||||
\(974\) | 11.1447 | + | 34.2997i | 0.357098 | + | 1.09903i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −12.5116 | + | 4.06528i | −0.400488 | + | 0.130126i | ||||
\(977\) | −6.69308 | − | 42.2584i | −0.214131 | − | 1.35197i | −0.827187 | − | 0.561927i | \(-0.810060\pi\) |
0.613056 | − | 0.790039i | \(-0.289940\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.90052 | + | 0.617515i | 0.0607408 | + | 0.0197359i | ||||
\(980\) | −3.45711 | + | 10.6399i | −0.110433 | + | 0.339878i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.0545251 | + | 0.0750473i | 0.00173997 | + | 0.00239486i | ||||
\(983\) | 31.6046 | 1.00803 | 0.504015 | − | 0.863695i | \(-0.331856\pi\) | ||||
0.504015 | + | 0.863695i | \(0.331856\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.52132 | −0.0803360 | ||||||||
\(986\) | 8.84409 | + | 12.1728i | 0.281653 | + | 0.387662i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0569095 | + | 0.175150i | −0.00181053 | + | 0.00557225i | ||||
\(989\) | 18.9502 | + | 6.15728i | 0.602580 | + | 0.195790i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.28861 | + | 27.0772i | 0.136232 | + | 0.860137i | 0.957256 | + | 0.289242i | \(0.0934034\pi\) |
−0.821024 | + | 0.570894i | \(0.806597\pi\) | |||||||
\(992\) | −5.65670 | + | 1.83797i | −0.179601 | + | 0.0583558i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.66600 | + | 11.2828i | 0.116278 | + | 0.357868i | ||||
\(995\) | 0.507096 | − | 0.995231i | 0.0160760 | − | 0.0315510i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 24.5211 | + | 3.88375i | 0.776590 | + | 0.123000i | 0.532133 | − | 0.846661i | \(-0.321391\pi\) |
0.244456 | + | 0.969660i | \(0.421391\pi\) | |||||||
\(998\) | −39.4001 | + | 39.4001i | −1.24719 | + | 1.24719i | ||||
\(999\) | 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 | 369.2.u.a.46.3 | 24 | ||
3.2 | odd | 2 | 41.2.g.a.5.1 | ✓ | 24 | ||
12.11 | even | 2 | 656.2.bs.d.497.1 | 24 | |||
41.33 | even | 20 | inner | 369.2.u.a.361.3 | 24 | ||
123.74 | odd | 20 | 41.2.g.a.33.1 | yes | 24 | ||
123.101 | even | 40 | 1681.2.a.m.1.3 | 24 | |||
123.104 | even | 40 | 1681.2.a.m.1.4 | 24 | |||
492.443 | even | 20 | 656.2.bs.d.33.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.5.1 | ✓ | 24 | 3.2 | odd | 2 | ||
41.2.g.a.33.1 | yes | 24 | 123.74 | odd | 20 | ||
369.2.u.a.46.3 | 24 | 1.1 | even | 1 | trivial | ||
369.2.u.a.361.3 | 24 | 41.33 | even | 20 | inner | ||
656.2.bs.d.33.1 | 24 | 492.443 | even | 20 | |||
656.2.bs.d.497.1 | 24 | 12.11 | even | 2 | |||
1681.2.a.m.1.3 | 24 | 123.101 | even | 40 | |||
1681.2.a.m.1.4 | 24 | 123.104 | even | 40 |