Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(19,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.by (of order \(12\), degree \(4\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Character | \(\chi\) | \(=\) | 546.19 |
Dual form | 546.2.by.b.115.3 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | − | 0.258819i | −0.683013 | − | 0.183013i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | 0.866025 | + | 0.500000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 0.195603 | − | 0.0524115i | 0.0874761 | − | 0.0234392i | −0.214816 | − | 0.976655i | \(-0.568915\pi\) |
0.302292 | + | 0.953215i | \(0.402248\pi\) | |||||||
\(6\) | −0.258819 | + | 0.965926i | −0.105662 | + | 0.394338i | ||||
\(7\) | −2.35070 | + | 1.21417i | −0.888481 | + | 0.458913i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −0.202503 | −0.0640370 | ||||||||
\(11\) | 1.97664 | + | 1.97664i | 0.595981 | + | 0.595981i | 0.939240 | − | 0.343260i | \(-0.111531\pi\) |
−0.343260 | + | 0.939240i | \(0.611531\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −1.90556 | + | 3.06086i | −0.528506 | + | 0.848929i | ||||
\(14\) | 2.58485 | − | 0.564393i | 0.690831 | − | 0.150840i | ||||
\(15\) | −0.0524115 | − | 0.195603i | −0.0135326 | − | 0.0505044i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.34500 | + | 2.32961i | −0.326211 | + | 0.565013i | −0.981757 | − | 0.190142i | \(-0.939105\pi\) |
0.655546 | + | 0.755155i | \(0.272439\pi\) | |||||||
\(18\) | 0.965926 | + | 0.258819i | 0.227671 | + | 0.0610042i | ||||
\(19\) | 2.84265 | + | 2.84265i | 0.652148 | + | 0.652148i | 0.953510 | − | 0.301362i | \(-0.0974413\pi\) |
−0.301362 | + | 0.953510i | \(0.597441\pi\) | |||||||
\(20\) | 0.195603 | + | 0.0524115i | 0.0437381 | + | 0.0117196i | ||||
\(21\) | 1.21417 | + | 2.35070i | 0.264954 | + | 0.512965i | ||||
\(22\) | −1.39770 | − | 2.42088i | −0.297990 | − | 0.516134i | ||||
\(23\) | 1.97359 | − | 1.13945i | 0.411522 | − | 0.237592i | −0.279921 | − | 0.960023i | \(-0.590308\pi\) |
0.691444 | + | 0.722430i | \(0.256975\pi\) | |||||||
\(24\) | −0.707107 | + | 0.707107i | −0.144338 | + | 0.144338i | ||||
\(25\) | −4.29461 | + | 2.47950i | −0.858923 | + | 0.495899i | ||||
\(26\) | 2.63283 | − | 2.46337i | 0.516341 | − | 0.483106i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −2.64285 | − | 0.123847i | −0.499452 | − | 0.0234049i | ||||
\(29\) | 1.82561 | − | 3.16205i | 0.339008 | − | 0.587178i | −0.645239 | − | 0.763981i | \(-0.723242\pi\) |
0.984246 | + | 0.176803i | \(0.0565754\pi\) | |||||||
\(30\) | 0.202503i | 0.0369718i | ||||||||
\(31\) | −1.51982 | + | 5.67204i | −0.272968 | + | 1.01873i | 0.684224 | + | 0.729272i | \(0.260141\pi\) |
−0.957191 | + | 0.289457i | \(0.906525\pi\) | |||||||
\(32\) | −0.258819 | − | 0.965926i | −0.0457532 | − | 0.170753i | ||||
\(33\) | 1.97664 | − | 1.97664i | 0.344090 | − | 0.344090i | ||||
\(34\) | 1.90212 | − | 1.90212i | 0.326211 | − | 0.326211i | ||||
\(35\) | −0.396166 | + | 0.360699i | −0.0669643 | + | 0.0609692i | ||||
\(36\) | −0.866025 | − | 0.500000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | −0.427713 | + | 1.59625i | −0.0703155 | + | 0.262421i | −0.992130 | − | 0.125209i | \(-0.960040\pi\) |
0.921815 | + | 0.387631i | \(0.126706\pi\) | |||||||
\(38\) | −2.01005 | − | 3.48152i | −0.326074 | − | 0.564777i | ||||
\(39\) | 3.06086 | + | 1.90556i | 0.490130 | + | 0.305133i | ||||
\(40\) | −0.175372 | − | 0.101251i | −0.0277288 | − | 0.0160092i | ||||
\(41\) | 10.6586 | − | 2.85597i | 1.66460 | − | 0.446027i | 0.700950 | − | 0.713211i | \(-0.252760\pi\) |
0.963646 | + | 0.267184i | \(0.0860931\pi\) | |||||||
\(42\) | −0.564393 | − | 2.58485i | −0.0870878 | − | 0.398851i | ||||
\(43\) | −5.73742 | + | 3.31250i | −0.874948 | + | 0.505151i | −0.868989 | − | 0.494831i | \(-0.835230\pi\) |
−0.00595841 | + | 0.999982i | \(0.501897\pi\) | |||||||
\(44\) | 0.723502 | + | 2.70015i | 0.109072 | + | 0.407062i | ||||
\(45\) | −0.195603 | + | 0.0524115i | −0.0291587 | + | 0.00781305i | ||||
\(46\) | −2.20125 | + | 0.589824i | −0.324557 | + | 0.0869649i | ||||
\(47\) | 1.56321 | + | 5.83398i | 0.228018 | + | 0.850973i | 0.981173 | + | 0.193130i | \(0.0618641\pi\) |
−0.753156 | + | 0.657842i | \(0.771469\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | 4.05158 | − | 5.70830i | 0.578797 | − | 0.815472i | ||||
\(50\) | 4.79002 | − | 1.28348i | 0.677411 | − | 0.181512i | ||||
\(51\) | 2.32961 | + | 1.34500i | 0.326211 | + | 0.188338i | ||||
\(52\) | −3.18069 | + | 1.69800i | −0.441082 | + | 0.235471i | ||||
\(53\) | 0.577609 | + | 1.00045i | 0.0793407 | + | 0.137422i | 0.902966 | − | 0.429713i | \(-0.141385\pi\) |
−0.823625 | + | 0.567135i | \(0.808052\pi\) | |||||||
\(54\) | 0.258819 | − | 0.965926i | 0.0352208 | − | 0.131446i | ||||
\(55\) | 0.490235 | + | 0.283038i | 0.0661033 | + | 0.0381648i | ||||
\(56\) | 2.52074 | + | 0.803647i | 0.336849 | + | 0.107392i | ||||
\(57\) | 2.84265 | − | 2.84265i | 0.376518 | − | 0.376518i | ||||
\(58\) | −2.58180 | + | 2.58180i | −0.339008 | + | 0.339008i | ||||
\(59\) | 1.27738 | + | 4.76725i | 0.166301 | + | 0.620643i | 0.997871 | + | 0.0652230i | \(0.0207759\pi\) |
−0.831570 | + | 0.555420i | \(0.812557\pi\) | |||||||
\(60\) | 0.0524115 | − | 0.195603i | 0.00676630 | − | 0.0252522i | ||||
\(61\) | 2.01287i | 0.257722i | 0.991663 | + | 0.128861i | \(0.0411321\pi\) | ||||
−0.991663 | + | 0.128861i | \(0.958868\pi\) | |||||||
\(62\) | 2.93607 | − | 5.08541i | 0.372881 | − | 0.645848i | ||||
\(63\) | 2.35070 | − | 1.21417i | 0.296160 | − | 0.152971i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.212307 | + | 0.698585i | −0.0263335 | + | 0.0866488i | ||||
\(66\) | −2.42088 | + | 1.39770i | −0.297990 | + | 0.172045i | ||||
\(67\) | −7.22594 | + | 7.22594i | −0.882789 | + | 0.882789i | −0.993817 | − | 0.111028i | \(-0.964586\pi\) |
0.111028 | + | 0.993817i | \(0.464586\pi\) | |||||||
\(68\) | −2.32961 | + | 1.34500i | −0.282507 | + | 0.163105i | ||||
\(69\) | −1.13945 | − | 1.97359i | −0.137174 | − | 0.237592i | ||||
\(70\) | 0.476023 | − | 0.245873i | 0.0568956 | − | 0.0293874i | ||||
\(71\) | 1.05839 | + | 0.283594i | 0.125607 | + | 0.0336564i | 0.321075 | − | 0.947054i | \(-0.395956\pi\) |
−0.195468 | + | 0.980710i | \(0.562622\pi\) | |||||||
\(72\) | 0.707107 | + | 0.707107i | 0.0833333 | + | 0.0833333i | ||||
\(73\) | 11.4851 | + | 3.07743i | 1.34423 | + | 0.360186i | 0.858003 | − | 0.513644i | \(-0.171705\pi\) |
0.486230 | + | 0.873831i | \(0.338372\pi\) | |||||||
\(74\) | 0.826278 | − | 1.43115i | 0.0960528 | − | 0.166368i | ||||
\(75\) | 2.47950 | + | 4.29461i | 0.286308 | + | 0.495899i | ||||
\(76\) | 1.04048 | + | 3.88313i | 0.119351 | + | 0.445425i | ||||
\(77\) | −7.04648 | − | 2.24651i | −0.803021 | − | 0.256014i | ||||
\(78\) | −2.46337 | − | 2.63283i | −0.278921 | − | 0.298110i | ||||
\(79\) | −0.0814611 | + | 0.141095i | −0.00916509 | + | 0.0158744i | −0.870572 | − | 0.492042i | \(-0.836251\pi\) |
0.861406 | + | 0.507916i | \(0.169584\pi\) | |||||||
\(80\) | 0.143191 | + | 0.143191i | 0.0160092 | + | 0.0160092i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −11.0346 | −1.21857 | ||||||||
\(83\) | 5.03290 | + | 5.03290i | 0.552432 | + | 0.552432i | 0.927142 | − | 0.374710i | \(-0.122258\pi\) |
−0.374710 | + | 0.927142i | \(0.622258\pi\) | |||||||
\(84\) | −0.123847 | + | 2.64285i | −0.0135128 | + | 0.288359i | ||||
\(85\) | −0.140987 | + | 0.526171i | −0.0152922 | + | 0.0570713i | ||||
\(86\) | 6.39926 | − | 1.71468i | 0.690049 | − | 0.184898i | ||||
\(87\) | −3.16205 | − | 1.82561i | −0.339008 | − | 0.195726i | ||||
\(88\) | − | 2.79540i | − | 0.297990i | ||||||
\(89\) | −14.6198 | − | 3.91737i | −1.54970 | − | 0.415241i | −0.620315 | − | 0.784353i | \(-0.712995\pi\) |
−0.929385 | + | 0.369112i | \(0.879662\pi\) | |||||||
\(90\) | 0.202503 | 0.0213457 | ||||||||
\(91\) | 0.762985 | − | 9.50883i | 0.0799826 | − | 0.996796i | ||||
\(92\) | 2.27891 | 0.237592 | ||||||||
\(93\) | 5.67204 | + | 1.51982i | 0.588163 | + | 0.157598i | ||||
\(94\) | − | 6.03978i | − | 0.622955i | ||||||
\(95\) | 0.705016 | + | 0.407041i | 0.0723331 | + | 0.0417616i | ||||
\(96\) | −0.965926 | + | 0.258819i | −0.0985844 | + | 0.0264156i | ||||
\(97\) | 2.70252 | − | 10.0859i | 0.274399 | − | 1.02407i | −0.681844 | − | 0.731498i | \(-0.738822\pi\) |
0.956243 | − | 0.292573i | \(-0.0945116\pi\) | |||||||
\(98\) | −5.39094 | + | 4.46517i | −0.544567 | + | 0.451050i | ||||
\(99\) | −1.97664 | − | 1.97664i | −0.198660 | − | 0.198660i | ||||
\(100\) | −4.95899 | −0.495899 | ||||||||
\(101\) | −13.7985 | −1.37300 | −0.686501 | − | 0.727128i | \(-0.740854\pi\) | ||||
−0.686501 | + | 0.727128i | \(0.740854\pi\) | |||||||
\(102\) | −1.90212 | − | 1.90212i | −0.188338 | − | 0.188338i | ||||
\(103\) | −2.45936 | + | 4.25973i | −0.242327 | + | 0.419723i | −0.961377 | − | 0.275236i | \(-0.911244\pi\) |
0.719049 | + | 0.694959i | \(0.244577\pi\) | |||||||
\(104\) | 3.51179 | − | 0.816922i | 0.344359 | − | 0.0801058i | ||||
\(105\) | 0.360699 | + | 0.396166i | 0.0352006 | + | 0.0386619i | ||||
\(106\) | −0.298992 | − | 1.11585i | −0.0290407 | − | 0.108381i | ||||
\(107\) | −3.68809 | − | 6.38796i | −0.356541 | − | 0.617547i | 0.630839 | − | 0.775913i | \(-0.282711\pi\) |
−0.987380 | + | 0.158366i | \(0.949377\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | −9.72438 | − | 2.60564i | −0.931427 | − | 0.249575i | −0.238964 | − | 0.971028i | \(-0.576808\pi\) |
−0.692463 | + | 0.721453i | \(0.743474\pi\) | |||||||
\(110\) | −0.400276 | − | 0.400276i | −0.0381648 | − | 0.0381648i | ||||
\(111\) | 1.59625 | + | 0.427713i | 0.151509 | + | 0.0405967i | ||||
\(112\) | −2.22685 | − | 1.42868i | −0.210418 | − | 0.134998i | ||||
\(113\) | −8.01512 | − | 13.8826i | −0.753999 | − | 1.30596i | −0.945871 | − | 0.324544i | \(-0.894789\pi\) |
0.191872 | − | 0.981420i | \(-0.438544\pi\) | |||||||
\(114\) | −3.48152 | + | 2.01005i | −0.326074 | + | 0.188259i | ||||
\(115\) | 0.326319 | − | 0.326319i | 0.0304294 | − | 0.0304294i | ||||
\(116\) | 3.16205 | − | 1.82561i | 0.293589 | − | 0.169504i | ||||
\(117\) | 1.90556 | − | 3.06086i | 0.176169 | − | 0.282976i | ||||
\(118\) | − | 4.93542i | − | 0.454342i | ||||||
\(119\) | 0.333148 | − | 7.10927i | 0.0305397 | − | 0.651706i | ||||
\(120\) | −0.101251 | + | 0.175372i | −0.00924294 | + | 0.0160092i | ||||
\(121\) | − | 3.18576i | − | 0.289614i | ||||||
\(122\) | 0.520969 | − | 1.94428i | 0.0471664 | − | 0.176027i | ||||
\(123\) | −2.85597 | − | 10.6586i | −0.257514 | − | 0.961054i | ||||
\(124\) | −4.15222 | + | 4.15222i | −0.372881 | + | 0.372881i | ||||
\(125\) | −1.42604 | + | 1.42604i | −0.127549 | + | 0.127549i | ||||
\(126\) | −2.58485 | + | 0.564393i | −0.230277 | + | 0.0502802i | ||||
\(127\) | −7.41110 | − | 4.27880i | −0.657629 | − | 0.379682i | 0.133744 | − | 0.991016i | \(-0.457300\pi\) |
−0.791373 | + | 0.611334i | \(0.790633\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | 3.31250 | + | 5.73742i | 0.291649 | + | 0.505151i | ||||
\(130\) | 0.385880 | − | 0.619832i | 0.0338439 | − | 0.0543629i | ||||
\(131\) | 11.3107 | + | 6.53021i | 0.988217 | + | 0.570547i | 0.904741 | − | 0.425962i | \(-0.140064\pi\) |
0.0834763 | + | 0.996510i | \(0.473398\pi\) | |||||||
\(132\) | 2.70015 | − | 0.723502i | 0.235018 | − | 0.0629728i | ||||
\(133\) | −10.1337 | − | 3.23075i | −0.878700 | − | 0.280141i | ||||
\(134\) | 8.84993 | − | 5.10951i | 0.764518 | − | 0.441394i | ||||
\(135\) | 0.0524115 | + | 0.195603i | 0.00451087 | + | 0.0168348i | ||||
\(136\) | 2.59834 | − | 0.696224i | 0.222806 | − | 0.0597007i | ||||
\(137\) | −3.47555 | + | 0.931270i | −0.296936 | + | 0.0795637i | −0.404211 | − | 0.914666i | \(-0.632454\pi\) |
0.107275 | + | 0.994229i | \(0.465787\pi\) | |||||||
\(138\) | 0.589824 | + | 2.20125i | 0.0502092 | + | 0.187383i | ||||
\(139\) | 13.7433 | − | 7.93471i | 1.16569 | − | 0.673013i | 0.213031 | − | 0.977045i | \(-0.431666\pi\) |
0.952662 | + | 0.304033i | \(0.0983332\pi\) | |||||||
\(140\) | −0.523439 | + | 0.114291i | −0.0442387 | + | 0.00965936i | ||||
\(141\) | 5.83398 | − | 1.56321i | 0.491309 | − | 0.131646i | ||||
\(142\) | −0.948923 | − | 0.547861i | −0.0796319 | − | 0.0459755i | ||||
\(143\) | −9.81683 | + | 2.28362i | −0.820925 | + | 0.190966i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 0.191366 | − | 0.714188i | 0.0158921 | − | 0.0593101i | ||||
\(146\) | −10.2973 | − | 5.94514i | −0.852210 | − | 0.492024i | ||||
\(147\) | −5.70830 | − | 4.05158i | −0.470813 | − | 0.334168i | ||||
\(148\) | −1.16853 | + | 1.16853i | −0.0960528 | + | 0.0960528i | ||||
\(149\) | 12.7676 | − | 12.7676i | 1.04596 | − | 1.04596i | 0.0470721 | − | 0.998891i | \(-0.485011\pi\) |
0.998891 | − | 0.0470721i | \(-0.0149891\pi\) | |||||||
\(150\) | −1.28348 | − | 4.79002i | −0.104796 | − | 0.391103i | ||||
\(151\) | −4.43840 | + | 16.5643i | −0.361192 | + | 1.34799i | 0.511319 | + | 0.859391i | \(0.329157\pi\) |
−0.872511 | + | 0.488595i | \(0.837510\pi\) | |||||||
\(152\) | − | 4.02011i | − | 0.326074i | ||||||
\(153\) | 1.34500 | − | 2.32961i | 0.108737 | − | 0.188338i | ||||
\(154\) | 6.22494 | + | 3.99373i | 0.501620 | + | 0.321824i | ||||
\(155\) | 1.18912i | 0.0955126i | ||||||||
\(156\) | 1.69800 | + | 3.18069i | 0.135949 | + | 0.254659i | ||||
\(157\) | −2.58381 | + | 1.49176i | −0.206211 | + | 0.119056i | −0.599549 | − | 0.800338i | \(-0.704653\pi\) |
0.393338 | + | 0.919394i | \(0.371320\pi\) | |||||||
\(158\) | 0.115203 | − | 0.115203i | 0.00916509 | − | 0.00916509i | ||||
\(159\) | 1.00045 | − | 0.577609i | 0.0793407 | − | 0.0458073i | ||||
\(160\) | −0.101251 | − | 0.175372i | −0.00800462 | − | 0.0138644i | ||||
\(161\) | −3.25583 | + | 5.07479i | −0.256595 | + | 0.399949i | ||||
\(162\) | −0.965926 | − | 0.258819i | −0.0758903 | − | 0.0203347i | ||||
\(163\) | 2.46737 | + | 2.46737i | 0.193259 | + | 0.193259i | 0.797103 | − | 0.603844i | \(-0.206365\pi\) |
−0.603844 | + | 0.797103i | \(0.706365\pi\) | |||||||
\(164\) | 10.6586 | + | 2.85597i | 0.832298 | + | 0.223013i | ||||
\(165\) | 0.283038 | − | 0.490235i | 0.0220344 | − | 0.0381648i | ||||
\(166\) | −3.55880 | − | 6.16401i | −0.276216 | − | 0.478420i | ||||
\(167\) | 1.13433 | + | 4.23339i | 0.0877773 | + | 0.327589i | 0.995826 | − | 0.0912760i | \(-0.0290946\pi\) |
−0.908048 | + | 0.418865i | \(0.862428\pi\) | |||||||
\(168\) | 0.803647 | − | 2.52074i | 0.0620027 | − | 0.194480i | ||||
\(169\) | −5.73771 | − | 11.6653i | −0.441362 | − | 0.897329i | ||||
\(170\) | 0.272366 | − | 0.471752i | 0.0208895 | − | 0.0361817i | ||||
\(171\) | −2.84265 | − | 2.84265i | −0.217383 | − | 0.217383i | ||||
\(172\) | −6.62500 | −0.505151 | ||||||||
\(173\) | −22.1494 | −1.68398 | −0.841992 | − | 0.539490i | \(-0.818617\pi\) | ||||
−0.841992 | + | 0.539490i | \(0.818617\pi\) | |||||||
\(174\) | 2.58180 | + | 2.58180i | 0.195726 | + | 0.195726i | ||||
\(175\) | 7.08481 | − | 11.0429i | 0.535562 | − | 0.834768i | ||||
\(176\) | −0.723502 | + | 2.70015i | −0.0545360 | + | 0.203531i | ||||
\(177\) | 4.76725 | − | 1.27738i | 0.358329 | − | 0.0960138i | ||||
\(178\) | 13.1078 | + | 7.56779i | 0.982470 | + | 0.567230i | ||||
\(179\) | 4.97827i | 0.372093i | 0.982541 | + | 0.186047i | \(0.0595675\pi\) | ||||
−0.982541 | + | 0.186047i | \(0.940432\pi\) | |||||||
\(180\) | −0.195603 | − | 0.0524115i | −0.0145794 | − | 0.00390653i | ||||
\(181\) | 16.9305 | 1.25843 | 0.629216 | − | 0.777230i | \(-0.283376\pi\) | ||||
0.629216 | + | 0.777230i | \(0.283376\pi\) | |||||||
\(182\) | −3.19805 | + | 8.98735i | −0.237055 | + | 0.666187i | ||||
\(183\) | 2.01287 | 0.148796 | ||||||||
\(184\) | −2.20125 | − | 0.589824i | −0.162279 | − | 0.0434824i | ||||
\(185\) | 0.334647i | 0.0246037i | ||||||||
\(186\) | −5.08541 | − | 2.93607i | −0.372881 | − | 0.215283i | ||||
\(187\) | −7.26340 | + | 1.94622i | −0.531152 | + | 0.142322i | ||||
\(188\) | −1.56321 | + | 5.83398i | −0.114009 | + | 0.425486i | ||||
\(189\) | −1.21417 | − | 2.35070i | −0.0883179 | − | 0.170988i | ||||
\(190\) | −0.575643 | − | 0.575643i | −0.0417616 | − | 0.0417616i | ||||
\(191\) | −19.8491 | −1.43623 | −0.718115 | − | 0.695924i | \(-0.754995\pi\) | ||||
−0.718115 | + | 0.695924i | \(0.754995\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | 9.36842 | + | 9.36842i | 0.674353 | + | 0.674353i | 0.958717 | − | 0.284363i | \(-0.0917822\pi\) |
−0.284363 | + | 0.958717i | \(0.591782\pi\) | |||||||
\(194\) | −5.22086 | + | 9.04280i | −0.374836 | + | 0.649235i | ||||
\(195\) | 0.698585 | + | 0.212307i | 0.0500267 | + | 0.0152036i | ||||
\(196\) | 6.36292 | − | 2.91775i | 0.454494 | − | 0.208410i | ||||
\(197\) | −3.80520 | − | 14.2012i | −0.271109 | − | 1.01179i | −0.958404 | − | 0.285415i | \(-0.907869\pi\) |
0.687295 | − | 0.726379i | \(-0.258798\pi\) | |||||||
\(198\) | 1.39770 | + | 2.42088i | 0.0993301 | + | 0.172045i | ||||
\(199\) | −5.25165 | + | 9.09613i | −0.372280 | + | 0.644807i | −0.989916 | − | 0.141657i | \(-0.954757\pi\) |
0.617636 | + | 0.786464i | \(0.288090\pi\) | |||||||
\(200\) | 4.79002 | + | 1.28348i | 0.338705 | + | 0.0907559i | ||||
\(201\) | 7.22594 | + | 7.22594i | 0.509678 | + | 0.509678i | ||||
\(202\) | 13.3283 | + | 3.57132i | 0.937778 | + | 0.251277i | ||||
\(203\) | −0.452193 | + | 9.64964i | −0.0317377 | + | 0.677272i | ||||
\(204\) | 1.34500 | + | 2.32961i | 0.0941689 | + | 0.163105i | ||||
\(205\) | 1.93517 | − | 1.11727i | 0.135158 | − | 0.0780334i | ||||
\(206\) | 3.47805 | − | 3.47805i | 0.242327 | − | 0.242327i | ||||
\(207\) | −1.97359 | + | 1.13945i | −0.137174 | + | 0.0791975i | ||||
\(208\) | −3.60356 | − | 0.119831i | −0.249862 | − | 0.00830879i | ||||
\(209\) | 11.2378i | 0.777335i | ||||||||
\(210\) | −0.245873 | − | 0.476023i | −0.0169668 | − | 0.0328487i | ||||
\(211\) | 11.7054 | − | 20.2743i | 0.805831 | − | 1.39574i | −0.109898 | − | 0.993943i | \(-0.535052\pi\) |
0.915729 | − | 0.401797i | \(-0.131614\pi\) | |||||||
\(212\) | 1.15522i | 0.0793407i | ||||||||
\(213\) | 0.283594 | − | 1.05839i | 0.0194315 | − | 0.0725195i | ||||
\(214\) | 1.90909 | + | 7.12484i | 0.130503 | + | 0.487044i | ||||
\(215\) | −0.948640 | + | 0.948640i | −0.0646967 | + | 0.0646967i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | −3.31419 | − | 15.1786i | −0.224982 | − | 1.03039i | ||||
\(218\) | 8.71864 | + | 5.03371i | 0.590501 | + | 0.340926i | ||||
\(219\) | 3.07743 | − | 11.4851i | 0.207954 | − | 0.776094i | ||||
\(220\) | 0.283038 | + | 0.490235i | 0.0190824 | + | 0.0330517i | ||||
\(221\) | −4.56763 | − | 8.55606i | −0.307252 | − | 0.575543i | ||||
\(222\) | −1.43115 | − | 0.826278i | −0.0960528 | − | 0.0554561i | ||||
\(223\) | −12.9381 | + | 3.46676i | −0.866400 | + | 0.232151i | −0.664531 | − | 0.747261i | \(-0.731368\pi\) |
−0.201870 | + | 0.979412i | \(0.564702\pi\) | |||||||
\(224\) | 1.78120 | + | 1.95635i | 0.119012 | + | 0.130714i | ||||
\(225\) | 4.29461 | − | 2.47950i | 0.286308 | − | 0.165300i | ||||
\(226\) | 4.14893 | + | 15.4840i | 0.275983 | + | 1.02998i | ||||
\(227\) | 9.54548 | − | 2.55770i | 0.633556 | − | 0.169761i | 0.0722732 | − | 0.997385i | \(-0.476975\pi\) |
0.561283 | + | 0.827624i | \(0.310308\pi\) | |||||||
\(228\) | 3.88313 | − | 1.04048i | 0.257166 | − | 0.0689075i | ||||
\(229\) | −3.24133 | − | 12.0968i | −0.214193 | − | 0.799379i | −0.986449 | − | 0.164068i | \(-0.947539\pi\) |
0.772256 | − | 0.635311i | \(-0.219128\pi\) | |||||||
\(230\) | −0.399657 | + | 0.230742i | −0.0263526 | + | 0.0152147i | ||||
\(231\) | −2.24651 | + | 7.04648i | −0.147810 | + | 0.463624i | ||||
\(232\) | −3.52681 | + | 0.945006i | −0.231546 | + | 0.0620427i | ||||
\(233\) | 22.4609 | + | 12.9678i | 1.47146 | + | 0.849549i | 0.999486 | − | 0.0320619i | \(-0.0102074\pi\) |
0.471976 | + | 0.881611i | \(0.343541\pi\) | |||||||
\(234\) | −2.63283 | + | 2.46337i | −0.172114 | + | 0.161035i | ||||
\(235\) | 0.611535 | + | 1.05921i | 0.0398922 | + | 0.0690953i | ||||
\(236\) | −1.27738 | + | 4.76725i | −0.0831504 | + | 0.310322i | ||||
\(237\) | 0.141095 | + | 0.0814611i | 0.00916509 | + | 0.00529147i | ||||
\(238\) | −2.16181 | + | 6.78081i | −0.140129 | + | 0.439534i | ||||
\(239\) | 3.56842 | − | 3.56842i | 0.230822 | − | 0.230822i | −0.582214 | − | 0.813036i | \(-0.697813\pi\) |
0.813036 | + | 0.582214i | \(0.197813\pi\) | |||||||
\(240\) | 0.143191 | − | 0.143191i | 0.00924294 | − | 0.00924294i | ||||
\(241\) | 4.43559 | + | 16.5538i | 0.285721 | + | 1.06633i | 0.948311 | + | 0.317344i | \(0.102791\pi\) |
−0.662589 | + | 0.748983i | \(0.730542\pi\) | |||||||
\(242\) | −0.824535 | + | 3.07721i | −0.0530031 | + | 0.197810i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −1.00644 | + | 1.74320i | −0.0644304 | + | 0.111597i | ||||
\(245\) | 0.493318 | − | 1.32891i | 0.0315169 | − | 0.0849008i | ||||
\(246\) | 11.0346i | 0.703541i | ||||||||
\(247\) | −14.1178 | + | 3.28412i | −0.898292 | + | 0.208963i | ||||
\(248\) | 5.08541 | − | 2.93607i | 0.322924 | − | 0.186440i | ||||
\(249\) | 5.03290 | − | 5.03290i | 0.318947 | − | 0.318947i | ||||
\(250\) | 1.74653 | − | 1.00836i | 0.110460 | − | 0.0637744i | ||||
\(251\) | 7.30883 | + | 12.6593i | 0.461329 | + | 0.799045i | 0.999027 | − | 0.0440920i | \(-0.0140395\pi\) |
−0.537698 | + | 0.843137i | \(0.680706\pi\) | |||||||
\(252\) | 2.64285 | + | 0.123847i | 0.166484 | + | 0.00780162i | ||||
\(253\) | 6.15338 | + | 1.64879i | 0.386860 | + | 0.103659i | ||||
\(254\) | 6.05114 | + | 6.05114i | 0.379682 | + | 0.379682i | ||||
\(255\) | 0.526171 | + | 0.140987i | 0.0329501 | + | 0.00882895i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.58405 | + | 4.47570i | 0.161188 | + | 0.279186i | 0.935295 | − | 0.353869i | \(-0.115134\pi\) |
−0.774107 | + | 0.633055i | \(0.781801\pi\) | |||||||
\(258\) | −1.71468 | − | 6.39926i | −0.106751 | − | 0.398400i | ||||
\(259\) | −0.932691 | − | 4.27161i | −0.0579546 | − | 0.265425i | ||||
\(260\) | −0.533156 | + | 0.498838i | −0.0330649 | + | 0.0309366i | ||||
\(261\) | −1.82561 | + | 3.16205i | −0.113003 | + | 0.195726i | ||||
\(262\) | −9.23512 | − | 9.23512i | −0.570547 | − | 0.570547i | ||||
\(263\) | 11.9526 | 0.737031 | 0.368516 | − | 0.929622i | \(-0.379866\pi\) | ||||
0.368516 | + | 0.929622i | \(0.379866\pi\) | |||||||
\(264\) | −2.79540 | −0.172045 | ||||||||
\(265\) | 0.165417 | + | 0.165417i | 0.0101615 | + | 0.0101615i | ||||
\(266\) | 8.95219 | + | 5.74345i | 0.548894 | + | 0.352153i | ||||
\(267\) | −3.91737 | + | 14.6198i | −0.239739 | + | 0.894720i | ||||
\(268\) | −9.87081 | + | 2.64488i | −0.602956 | + | 0.161562i | ||||
\(269\) | −18.1439 | − | 10.4754i | −1.10625 | − | 0.638696i | −0.168398 | − | 0.985719i | \(-0.553859\pi\) |
−0.937857 | + | 0.347023i | \(0.887193\pi\) | |||||||
\(270\) | − | 0.202503i | − | 0.0123239i | ||||||
\(271\) | 18.4852 | + | 4.95309i | 1.12290 | + | 0.300879i | 0.772055 | − | 0.635556i | \(-0.219229\pi\) |
0.350841 | + | 0.936435i | \(0.385896\pi\) | |||||||
\(272\) | −2.69000 | −0.163105 | ||||||||
\(273\) | −9.50883 | − | 0.762985i | −0.575501 | − | 0.0461780i | ||||
\(274\) | 3.59815 | 0.217372 | ||||||||
\(275\) | −13.3900 | − | 3.58784i | −0.807448 | − | 0.216355i | ||||
\(276\) | − | 2.27891i | − | 0.137174i | ||||||
\(277\) | 18.4523 | + | 10.6534i | 1.10869 | + | 0.640103i | 0.938490 | − | 0.345307i | \(-0.112225\pi\) |
0.170201 | + | 0.985409i | \(0.445558\pi\) | |||||||
\(278\) | −15.3287 | + | 4.10731i | −0.919353 | + | 0.246340i | ||||
\(279\) | 1.51982 | − | 5.67204i | 0.0909892 | − | 0.339576i | ||||
\(280\) | 0.535184 | + | 0.0250793i | 0.0319834 | + | 0.00149878i | ||||
\(281\) | 10.6777 | + | 10.6777i | 0.636978 | + | 0.636978i | 0.949809 | − | 0.312831i | \(-0.101277\pi\) |
−0.312831 | + | 0.949809i | \(0.601277\pi\) | |||||||
\(282\) | −6.03978 | −0.359663 | ||||||||
\(283\) | 11.1258 | 0.661361 | 0.330680 | − | 0.943743i | \(-0.392722\pi\) | ||||
0.330680 | + | 0.943743i | \(0.392722\pi\) | |||||||
\(284\) | 0.774793 | + | 0.774793i | 0.0459755 | + | 0.0459755i | ||||
\(285\) | 0.407041 | − | 0.705016i | 0.0241110 | − | 0.0417616i | ||||
\(286\) | 10.0734 | + | 0.334975i | 0.595651 | + | 0.0198075i | ||||
\(287\) | −21.5876 | + | 19.6549i | −1.27427 | + | 1.16019i | ||||
\(288\) | 0.258819 | + | 0.965926i | 0.0152511 | + | 0.0569177i | ||||
\(289\) | 4.88195 | + | 8.45578i | 0.287173 | + | 0.497399i | ||||
\(290\) | −0.369691 | + | 0.640324i | −0.0217090 | + | 0.0376011i | ||||
\(291\) | −10.0859 | − | 2.70252i | −0.591248 | − | 0.158424i | ||||
\(292\) | 8.40770 | + | 8.40770i | 0.492024 | + | 0.492024i | ||||
\(293\) | 20.7576 | + | 5.56198i | 1.21267 | + | 0.324934i | 0.807809 | − | 0.589444i | \(-0.200653\pi\) |
0.404862 | + | 0.914378i | \(0.367320\pi\) | |||||||
\(294\) | 4.46517 | + | 5.39094i | 0.260414 | + | 0.314406i | ||||
\(295\) | 0.499718 | + | 0.865537i | 0.0290947 | + | 0.0503935i | ||||
\(296\) | 1.43115 | − | 0.826278i | 0.0831842 | − | 0.0480264i | ||||
\(297\) | −1.97664 | + | 1.97664i | −0.114697 | + | 0.114697i | ||||
\(298\) | −15.6371 | + | 9.02807i | −0.905831 | + | 0.522982i | ||||
\(299\) | −0.273084 | + | 8.21218i | −0.0157928 | + | 0.474922i | ||||
\(300\) | 4.95899i | 0.286308i | ||||||||
\(301\) | 9.46500 | − | 14.7529i | 0.545554 | − | 0.850343i | ||||
\(302\) | 8.57432 | − | 14.8512i | 0.493397 | − | 0.854589i | ||||
\(303\) | 13.7985i | 0.792704i | ||||||||
\(304\) | −1.04048 | + | 3.88313i | −0.0596757 | + | 0.222713i | ||||
\(305\) | 0.105498 | + | 0.393723i | 0.00604078 | + | 0.0225445i | ||||
\(306\) | −1.90212 | + | 1.90212i | −0.108737 | + | 0.108737i | ||||
\(307\) | −15.0456 | + | 15.0456i | −0.858698 | + | 0.858698i | −0.991185 | − | 0.132487i | \(-0.957704\pi\) |
0.132487 | + | 0.991185i | \(0.457704\pi\) | |||||||
\(308\) | −4.97917 | − | 5.46878i | −0.283715 | − | 0.311612i | ||||
\(309\) | 4.25973 | + | 2.45936i | 0.242327 | + | 0.139908i | ||||
\(310\) | 0.307767 | − | 1.14860i | 0.0174800 | − | 0.0652363i | ||||
\(311\) | 0.952113 | + | 1.64911i | 0.0539894 | + | 0.0935124i | 0.891757 | − | 0.452515i | \(-0.149473\pi\) |
−0.837768 | + | 0.546027i | \(0.816140\pi\) | |||||||
\(312\) | −0.816922 | − | 3.51179i | −0.0462491 | − | 0.198816i | ||||
\(313\) | 10.7514 | + | 6.20732i | 0.607705 | + | 0.350859i | 0.772067 | − | 0.635542i | \(-0.219223\pi\) |
−0.164362 | + | 0.986400i | \(0.552556\pi\) | |||||||
\(314\) | 2.88187 | − | 0.772194i | 0.162633 | − | 0.0435774i | ||||
\(315\) | 0.396166 | − | 0.360699i | 0.0223214 | − | 0.0203231i | ||||
\(316\) | −0.141095 | + | 0.0814611i | −0.00793720 | + | 0.00458255i | ||||
\(317\) | −6.43782 | − | 24.0263i | −0.361584 | − | 1.34945i | −0.871993 | − | 0.489518i | \(-0.837173\pi\) |
0.510410 | − | 0.859931i | \(-0.329494\pi\) | |||||||
\(318\) | −1.11585 | + | 0.298992i | −0.0625740 | + | 0.0167667i | ||||
\(319\) | 9.85883 | − | 2.64167i | 0.551989 | − | 0.147905i | ||||
\(320\) | 0.0524115 | + | 0.195603i | 0.00292989 | + | 0.0109345i | ||||
\(321\) | −6.38796 | + | 3.68809i | −0.356541 | + | 0.205849i | ||||
\(322\) | 4.45834 | − | 4.05920i | 0.248454 | − | 0.226210i | ||||
\(323\) | −10.4456 | + | 2.79889i | −0.581210 | + | 0.155735i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | 0.594241 | − | 17.8700i | 0.0329626 | − | 0.991251i | ||||
\(326\) | −1.74469 | − | 3.02189i | −0.0966295 | − | 0.167367i | ||||
\(327\) | −2.60564 | + | 9.72438i | −0.144092 | + | 0.537760i | ||||
\(328\) | −9.55625 | − | 5.51730i | −0.527656 | − | 0.304642i | ||||
\(329\) | −10.7581 | − | 11.8159i | −0.593112 | − | 0.651433i | ||||
\(330\) | −0.400276 | + | 0.400276i | −0.0220344 | + | 0.0220344i | ||||
\(331\) | 17.1243 | − | 17.1243i | 0.941236 | − | 0.941236i | −0.0571304 | − | 0.998367i | \(-0.518195\pi\) |
0.998367 | + | 0.0571304i | \(0.0181951\pi\) | |||||||
\(332\) | 1.84217 | + | 6.87507i | 0.101102 | + | 0.377318i | ||||
\(333\) | 0.427713 | − | 1.59625i | 0.0234385 | − | 0.0874737i | ||||
\(334\) | − | 4.38273i | − | 0.239812i | ||||||
\(335\) | −1.03469 | + | 1.79213i | −0.0565311 | + | 0.0979147i | ||||
\(336\) | −1.42868 | + | 2.22685i | −0.0779409 | + | 0.121485i | ||||
\(337\) | − | 24.8568i | − | 1.35403i | −0.735967 | − | 0.677017i | \(-0.763272\pi\) | ||
0.735967 | − | 0.677017i | \(-0.236728\pi\) | |||||||
\(338\) | 2.52301 | + | 12.7528i | 0.137233 | + | 0.693662i | ||||
\(339\) | −13.8826 | + | 8.01512i | −0.753999 | + | 0.435321i | ||||
\(340\) | −0.385184 | + | 0.385184i | −0.0208895 | + | 0.0208895i | ||||
\(341\) | −14.2157 | + | 8.20747i | −0.769826 | + | 0.444459i | ||||
\(342\) | 2.01005 | + | 3.48152i | 0.108691 | + | 0.188259i | ||||
\(343\) | −2.59319 | + | 18.3378i | −0.140019 | + | 0.990149i | ||||
\(344\) | 6.39926 | + | 1.71468i | 0.345025 | + | 0.0924491i | ||||
\(345\) | −0.326319 | − | 0.326319i | −0.0175684 | − | 0.0175684i | ||||
\(346\) | 21.3946 | + | 5.73267i | 1.15018 | + | 0.308190i | ||||
\(347\) | 2.40733 | − | 4.16962i | 0.129232 | − | 0.223837i | −0.794147 | − | 0.607726i | \(-0.792082\pi\) |
0.923379 | + | 0.383889i | \(0.125415\pi\) | |||||||
\(348\) | −1.82561 | − | 3.16205i | −0.0978631 | − | 0.169504i | ||||
\(349\) | 8.18170 | + | 30.5345i | 0.437956 | + | 1.63448i | 0.733891 | + | 0.679267i | \(0.237702\pi\) |
−0.295935 | + | 0.955208i | \(0.595631\pi\) | |||||||
\(350\) | −9.70153 | + | 8.83298i | −0.518569 | + | 0.472143i | ||||
\(351\) | −3.06086 | − | 1.90556i | −0.163377 | − | 0.101711i | ||||
\(352\) | 1.39770 | − | 2.42088i | 0.0744976 | − | 0.129034i | ||||
\(353\) | 3.54343 | + | 3.54343i | 0.188598 | + | 0.188598i | 0.795090 | − | 0.606492i | \(-0.207424\pi\) |
−0.606492 | + | 0.795090i | \(0.707424\pi\) | |||||||
\(354\) | −4.93542 | −0.262315 | ||||||||
\(355\) | 0.221887 | 0.0117765 | ||||||||
\(356\) | −10.7025 | − | 10.7025i | −0.567230 | − | 0.567230i | ||||
\(357\) | −7.10927 | − | 0.333148i | −0.376263 | − | 0.0176321i | ||||
\(358\) | 1.28847 | − | 4.80864i | 0.0680978 | − | 0.254144i | ||||
\(359\) | 10.5607 | − | 2.82972i | 0.557371 | − | 0.149347i | 0.0308727 | − | 0.999523i | \(-0.490171\pi\) |
0.526498 | + | 0.850176i | \(0.323505\pi\) | |||||||
\(360\) | 0.175372 | + | 0.101251i | 0.00924294 | + | 0.00533641i | ||||
\(361\) | − | 2.83873i | − | 0.149407i | ||||||
\(362\) | −16.3536 | − | 4.38193i | −0.859525 | − | 0.230309i | ||||
\(363\) | −3.18576 | −0.167209 | ||||||||
\(364\) | 5.41518 | − | 7.85340i | 0.283833 | − | 0.411630i | ||||
\(365\) | 2.40781 | 0.126031 | ||||||||
\(366\) | −1.94428 | − | 0.520969i | −0.101629 | − | 0.0272315i | ||||
\(367\) | − | 15.8760i | − | 0.828721i | −0.910113 | − | 0.414361i | \(-0.864005\pi\) | ||
0.910113 | − | 0.414361i | \(-0.135995\pi\) | |||||||
\(368\) | 1.97359 | + | 1.13945i | 0.102881 | + | 0.0593981i | ||||
\(369\) | −10.6586 | + | 2.85597i | −0.554865 | + | 0.148676i | ||||
\(370\) | 0.0866130 | − | 0.323244i | 0.00450279 | − | 0.0168047i | ||||
\(371\) | −2.57250 | − | 1.65044i | −0.133557 | − | 0.0856864i | ||||
\(372\) | 4.15222 | + | 4.15222i | 0.215283 | + | 0.215283i | ||||
\(373\) | −0.161078 | −0.00834030 | −0.00417015 | − | 0.999991i | \(-0.501327\pi\) | ||||
−0.00417015 | + | 0.999991i | \(0.501327\pi\) | |||||||
\(374\) | 7.51962 | 0.388830 | ||||||||
\(375\) | 1.42604 | + | 1.42604i | 0.0736403 | + | 0.0736403i | ||||
\(376\) | 3.01989 | − | 5.23060i | 0.155739 | − | 0.269748i | ||||
\(377\) | 6.19979 | + | 11.6134i | 0.319305 | + | 0.598121i | ||||
\(378\) | 0.564393 | + | 2.58485i | 0.0290293 | + | 0.132950i | ||||
\(379\) | −1.62284 | − | 6.05652i | −0.0833597 | − | 0.311103i | 0.911639 | − | 0.410992i | \(-0.134818\pi\) |
−0.994999 | + | 0.0998896i | \(0.968151\pi\) | |||||||
\(380\) | 0.407041 | + | 0.705016i | 0.0208808 | + | 0.0361666i | ||||
\(381\) | −4.27880 | + | 7.41110i | −0.219210 | + | 0.379682i | ||||
\(382\) | 19.1728 | + | 5.13732i | 0.980963 | + | 0.262848i | ||||
\(383\) | 14.5419 | + | 14.5419i | 0.743058 | + | 0.743058i | 0.973165 | − | 0.230107i | \(-0.0739076\pi\) |
−0.230107 | + | 0.973165i | \(0.573908\pi\) | |||||||
\(384\) | −0.965926 | − | 0.258819i | −0.0492922 | − | 0.0132078i | ||||
\(385\) | −1.49605 | − | 0.0701066i | −0.0762459 | − | 0.00357297i | ||||
\(386\) | −6.62447 | − | 11.4739i | −0.337177 | − | 0.584007i | ||||
\(387\) | 5.73742 | − | 3.31250i | 0.291649 | − | 0.168384i | ||||
\(388\) | 7.38341 | − | 7.38341i | 0.374836 | − | 0.374836i | ||||
\(389\) | 15.7262 | − | 9.07952i | 0.797349 | − | 0.460350i | −0.0451941 | − | 0.998978i | \(-0.514391\pi\) |
0.842543 | + | 0.538628i | \(0.181057\pi\) | |||||||
\(390\) | −0.619832 | − | 0.385880i | −0.0313864 | − | 0.0195398i | ||||
\(391\) | 6.13026i | 0.310021i | ||||||||
\(392\) | −6.90128 | + | 1.17148i | −0.348567 | + | 0.0591688i | ||||
\(393\) | 6.53021 | − | 11.3107i | 0.329406 | − | 0.570547i | ||||
\(394\) | 14.7022i | 0.740684i | ||||||||
\(395\) | −0.00853900 | + | 0.0318680i | −0.000429644 | + | 0.00160345i | ||||
\(396\) | −0.723502 | − | 2.70015i | −0.0363573 | − | 0.135687i | ||||
\(397\) | 9.53585 | − | 9.53585i | 0.478590 | − | 0.478590i | −0.426090 | − | 0.904681i | \(-0.640109\pi\) |
0.904681 | + | 0.426090i | \(0.140109\pi\) | |||||||
\(398\) | 7.42696 | − | 7.42696i | 0.372280 | − | 0.372280i | ||||
\(399\) | −3.23075 | + | 10.1337i | −0.161740 | + | 0.507318i | ||||
\(400\) | −4.29461 | − | 2.47950i | −0.214731 | − | 0.123975i | ||||
\(401\) | 5.49978 | − | 20.5254i | 0.274646 | − | 1.02499i | −0.681433 | − | 0.731881i | \(-0.738643\pi\) |
0.956078 | − | 0.293111i | \(-0.0946905\pi\) | |||||||
\(402\) | −5.10951 | − | 8.84993i | −0.254839 | − | 0.441394i | ||||
\(403\) | −14.4652 | − | 15.4603i | −0.720564 | − | 0.770135i | ||||
\(404\) | −11.9499 | − | 6.89925i | −0.594528 | − | 0.343251i | ||||
\(405\) | 0.195603 | − | 0.0524115i | 0.00971957 | − | 0.00260435i | ||||
\(406\) | 2.93430 | − | 9.20380i | 0.145627 | − | 0.456777i | ||||
\(407\) | −4.00064 | + | 2.30977i | −0.198305 | + | 0.114491i | ||||
\(408\) | −0.696224 | − | 2.59834i | −0.0344682 | − | 0.128637i | ||||
\(409\) | 27.4612 | − | 7.35820i | 1.35787 | − | 0.363839i | 0.494834 | − | 0.868987i | \(-0.335229\pi\) |
0.863033 | + | 0.505148i | \(0.168562\pi\) | |||||||
\(410\) | −2.15840 | + | 0.578341i | −0.106596 | + | 0.0285622i | ||||
\(411\) | 0.931270 | + | 3.47555i | 0.0459361 | + | 0.171436i | ||||
\(412\) | −4.25973 | + | 2.45936i | −0.209862 | + | 0.121164i | ||||
\(413\) | −8.79100 | − | 9.65542i | −0.432577 | − | 0.475112i | ||||
\(414\) | 2.20125 | − | 0.589824i | 0.108186 | − | 0.0289883i | ||||
\(415\) | 1.24823 | + | 0.720665i | 0.0612732 | + | 0.0353761i | ||||
\(416\) | 3.44976 | + | 1.04842i | 0.169138 | + | 0.0514029i | ||||
\(417\) | −7.93471 | − | 13.7433i | −0.388564 | − | 0.673013i | ||||
\(418\) | 2.90856 | − | 10.8549i | 0.142262 | − | 0.530929i | ||||
\(419\) | −22.4063 | − | 12.9363i | −1.09462 | − | 0.631978i | −0.159816 | − | 0.987147i | \(-0.551090\pi\) |
−0.934802 | + | 0.355168i | \(0.884424\pi\) | |||||||
\(420\) | 0.114291 | + | 0.523439i | 0.00557684 | + | 0.0255412i | ||||
\(421\) | −0.259512 | + | 0.259512i | −0.0126478 | + | 0.0126478i | −0.713402 | − | 0.700755i | \(-0.752847\pi\) |
0.700755 | + | 0.713402i | \(0.252847\pi\) | |||||||
\(422\) | −16.5539 | + | 16.5539i | −0.805831 | + | 0.805831i | ||||
\(423\) | −1.56321 | − | 5.83398i | −0.0760058 | − | 0.283658i | ||||
\(424\) | 0.298992 | − | 1.11585i | 0.0145203 | − | 0.0541907i | ||||
\(425\) | − | 13.3397i | − | 0.647070i | ||||||
\(426\) | −0.547861 | + | 0.948923i | −0.0265440 | + | 0.0459755i | ||||
\(427\) | −2.44397 | − | 4.73166i | −0.118272 | − | 0.228981i | ||||
\(428\) | − | 7.37618i | − | 0.356541i | ||||||
\(429\) | 2.28362 | + | 9.81683i | 0.110254 | + | 0.473961i | ||||
\(430\) | 1.16184 | − | 0.670790i | 0.0560290 | − | 0.0323483i | ||||
\(431\) | 0.542188 | − | 0.542188i | 0.0261163 | − | 0.0261163i | −0.693928 | − | 0.720044i | \(-0.744121\pi\) |
0.720044 | + | 0.693928i | \(0.244121\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | 1.45861 | + | 2.52639i | 0.0700964 | + | 0.121411i | 0.898943 | − | 0.438065i | \(-0.144336\pi\) |
−0.828847 | + | 0.559475i | \(0.811003\pi\) | |||||||
\(434\) | −0.727245 | + | 15.5192i | −0.0349089 | + | 0.744944i | ||||
\(435\) | −0.714188 | − | 0.191366i | −0.0342427 | − | 0.00917531i | ||||
\(436\) | −7.11874 | − | 7.11874i | −0.340926 | − | 0.340926i | ||||
\(437\) | 8.84928 | + | 2.37116i | 0.423319 | + | 0.113428i | ||||
\(438\) | −5.94514 | + | 10.2973i | −0.284070 | + | 0.492024i | ||||
\(439\) | 3.34704 | + | 5.79725i | 0.159746 | + | 0.276688i | 0.934777 | − | 0.355235i | \(-0.115599\pi\) |
−0.775031 | + | 0.631923i | \(0.782266\pi\) | |||||||
\(440\) | −0.146511 | − | 0.546787i | −0.00698464 | − | 0.0260670i | ||||
\(441\) | −4.05158 | + | 5.70830i | −0.192932 | + | 0.271824i | ||||
\(442\) | 2.19752 | + | 9.44671i | 0.104525 | + | 0.449334i | ||||
\(443\) | 14.1212 | − | 24.4587i | 0.670920 | − | 1.16207i | −0.306724 | − | 0.951799i | \(-0.599233\pi\) |
0.977644 | − | 0.210269i | \(-0.0674339\pi\) | |||||||
\(444\) | 1.16853 | + | 1.16853i | 0.0554561 | + | 0.0554561i | ||||
\(445\) | −3.06499 | −0.145295 | ||||||||
\(446\) | 13.3945 | 0.634249 | ||||||||
\(447\) | −12.7676 | − | 12.7676i | −0.603887 | − | 0.603887i | ||||
\(448\) | −1.21417 | − | 2.35070i | −0.0573642 | − | 0.111060i | ||||
\(449\) | −10.2498 | + | 38.2527i | −0.483716 | + | 1.80525i | 0.102056 | + | 0.994779i | \(0.467458\pi\) |
−0.585772 | + | 0.810476i | \(0.699209\pi\) | |||||||
\(450\) | −4.79002 | + | 1.28348i | −0.225804 | + | 0.0605039i | ||||
\(451\) | 26.7135 | + | 15.4230i | 1.25789 | + | 0.726243i | ||||
\(452\) | − | 16.0302i | − | 0.753999i | ||||||
\(453\) | 16.5643 | + | 4.43840i | 0.778260 | + | 0.208534i | ||||
\(454\) | −9.88221 | −0.463795 | ||||||||
\(455\) | −0.349131 | − | 1.89994i | −0.0163675 | − | 0.0890706i | ||||
\(456\) | −4.02011 | −0.188259 | ||||||||
\(457\) | −39.7751 | − | 10.6577i | −1.86060 | − | 0.498547i | −0.860658 | − | 0.509183i | \(-0.829948\pi\) |
−0.999943 | + | 0.0106359i | \(0.996614\pi\) | |||||||
\(458\) | 12.5235i | 0.585186i | ||||||||
\(459\) | −2.32961 | − | 1.34500i | −0.108737 | − | 0.0627793i | ||||
\(460\) | 0.445760 | − | 0.119441i | 0.0207837 | − | 0.00556897i | ||||
\(461\) | 4.00295 | − | 14.9392i | 0.186436 | − | 0.695788i | −0.807883 | − | 0.589343i | \(-0.799387\pi\) |
0.994319 | − | 0.106445i | \(-0.0339467\pi\) | |||||||
\(462\) | 3.99373 | − | 6.22494i | 0.185805 | − | 0.289610i | ||||
\(463\) | −27.1074 | − | 27.1074i | −1.25979 | − | 1.25979i | −0.951194 | − | 0.308594i | \(-0.900142\pi\) |
−0.308594 | − | 0.951194i | \(-0.599858\pi\) | |||||||
\(464\) | 3.65122 | 0.169504 | ||||||||
\(465\) | 1.18912 | 0.0551442 | ||||||||
\(466\) | −18.3392 | − | 18.3392i | −0.849549 | − | 0.849549i | ||||
\(467\) | 7.15792 | − | 12.3979i | 0.331229 | − | 0.573706i | −0.651524 | − | 0.758628i | \(-0.725870\pi\) |
0.982753 | + | 0.184922i | \(0.0592034\pi\) | |||||||
\(468\) | 3.18069 | − | 1.69800i | 0.147027 | − | 0.0784902i | ||||
\(469\) | 8.21249 | − | 25.7595i | 0.379217 | − | 1.18946i | ||||
\(470\) | −0.316554 | − | 1.18140i | −0.0146015 | − | 0.0544937i | ||||
\(471\) | 1.49176 | + | 2.58381i | 0.0687369 | + | 0.119056i | ||||
\(472\) | 2.46771 | − | 4.27420i | 0.113586 | − | 0.196736i | ||||
\(473\) | −17.8885 | − | 4.79320i | −0.822512 | − | 0.220391i | ||||
\(474\) | −0.115203 | − | 0.115203i | −0.00529147 | − | 0.00529147i | ||||
\(475\) | −19.2564 | − | 5.15974i | −0.883544 | − | 0.236745i | ||||
\(476\) | 3.84315 | − | 5.99024i | 0.176151 | − | 0.274562i | ||||
\(477\) | −0.577609 | − | 1.00045i | −0.0264469 | − | 0.0458073i | ||||
\(478\) | −4.37041 | + | 2.52326i | −0.199898 | + | 0.115411i | ||||
\(479\) | −3.07778 | + | 3.07778i | −0.140628 | + | 0.140628i | −0.773916 | − | 0.633288i | \(-0.781705\pi\) |
0.633288 | + | 0.773916i | \(0.281705\pi\) | |||||||
\(480\) | −0.175372 | + | 0.101251i | −0.00800462 | + | 0.00462147i | ||||
\(481\) | −4.07085 | − | 4.35090i | −0.185615 | − | 0.198384i | ||||
\(482\) | − | 17.1378i | − | 0.780606i | ||||||
\(483\) | 5.07479 | + | 3.25583i | 0.230911 | + | 0.148145i | ||||
\(484\) | 1.59288 | − | 2.75895i | 0.0724036 | − | 0.125407i | ||||
\(485\) | − | 2.11448i | − | 0.0960134i | ||||||
\(486\) | −0.258819 | + | 0.965926i | −0.0117403 | + | 0.0438153i | ||||
\(487\) | 2.98980 | + | 11.1581i | 0.135481 | + | 0.505621i | 0.999995 | + | 0.00301340i | \(0.000959198\pi\) |
−0.864515 | + | 0.502607i | \(0.832374\pi\) | |||||||
\(488\) | 1.42332 | − | 1.42332i | 0.0644304 | − | 0.0644304i | ||||
\(489\) | 2.46737 | − | 2.46737i | 0.111578 | − | 0.111578i | ||||
\(490\) | −0.820455 | + | 1.15595i | −0.0370644 | + | 0.0522203i | ||||
\(491\) | 30.9800 | + | 17.8863i | 1.39811 | + | 0.807198i | 0.994194 | − | 0.107599i | \(-0.0343162\pi\) |
0.403914 | + | 0.914797i | \(0.367650\pi\) | |||||||
\(492\) | 2.85597 | − | 10.6586i | 0.128757 | − | 0.480527i | ||||
\(493\) | 4.91090 | + | 8.50592i | 0.221176 | + | 0.383088i | ||||
\(494\) | 14.4867 | + | 0.481734i | 0.651787 | + | 0.0216742i | ||||
\(495\) | −0.490235 | − | 0.283038i | −0.0220344 | − | 0.0127216i | ||||
\(496\) | −5.67204 | + | 1.51982i | −0.254682 | + | 0.0682419i | ||||
\(497\) | −2.83228 | + | 0.618418i | −0.127045 | + | 0.0277399i | ||||
\(498\) | −6.16401 | + | 3.55880i | −0.276216 | + | 0.159473i | ||||
\(499\) | 9.75294 | + | 36.3985i | 0.436602 | + | 1.62942i | 0.737204 | + | 0.675670i | \(0.236145\pi\) |
−0.300603 | + | 0.953749i | \(0.597188\pi\) | |||||||
\(500\) | −1.94800 | + | 0.521966i | −0.0871174 | + | 0.0233430i | ||||
\(501\) | 4.23339 | − | 1.13433i | 0.189134 | − | 0.0506783i | ||||
\(502\) | −3.78333 | − | 14.1196i | −0.168858 | − | 0.630187i | ||||
\(503\) | −1.14985 | + | 0.663864i | −0.0512691 | + | 0.0296003i | −0.525415 | − | 0.850846i | \(-0.676090\pi\) |
0.474146 | + | 0.880446i | \(0.342757\pi\) | |||||||
\(504\) | −2.52074 | − | 0.803647i | −0.112283 | − | 0.0357973i | ||||
\(505\) | −2.69902 | + | 0.723201i | −0.120105 | + | 0.0321820i | ||||
\(506\) | −5.51697 | − | 3.18522i | −0.245259 | − | 0.141600i | ||||
\(507\) | −11.6653 | + | 5.73771i | −0.518073 | + | 0.254821i | ||||
\(508\) | −4.27880 | − | 7.41110i | −0.189841 | − | 0.328815i | ||||
\(509\) | −2.90664 | + | 10.8477i | −0.128835 | + | 0.480817i | −0.999947 | − | 0.0102661i | \(-0.996732\pi\) |
0.871113 | + | 0.491083i | \(0.163399\pi\) | |||||||
\(510\) | −0.471752 | − | 0.272366i | −0.0208895 | − | 0.0120606i | ||||
\(511\) | −30.7346 | + | 6.71080i | −1.35962 | + | 0.296868i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −2.84265 | + | 2.84265i | −0.125506 | + | 0.125506i | ||||
\(514\) | −1.33760 | − | 4.99199i | −0.0589990 | − | 0.220187i | ||||
\(515\) | −0.257797 | + | 0.962112i | −0.0113599 | + | 0.0423957i | ||||
\(516\) | 6.62500i | 0.291649i | ||||||||
\(517\) | −8.44179 | + | 14.6216i | −0.371269 | + | 0.643057i | ||||
\(518\) | −0.204664 | + | 4.36746i | −0.00899241 | + | 0.191895i | ||||
\(519\) | 22.1494i | 0.972249i | ||||||||
\(520\) | 0.644098 | − | 0.343850i | 0.0282456 | − | 0.0150788i | ||||
\(521\) | −24.4358 | + | 14.1080i | −1.07055 | + | 0.618083i | −0.928332 | − | 0.371752i | \(-0.878757\pi\) |
−0.142219 | + | 0.989835i | \(0.545424\pi\) | |||||||
\(522\) | 2.58180 | − | 2.58180i | 0.113003 | − | 0.113003i | ||||
\(523\) | 20.2352 | − | 11.6828i | 0.884823 | − | 0.510853i | 0.0125777 | − | 0.999921i | \(-0.495996\pi\) |
0.872246 | + | 0.489068i | \(0.162663\pi\) | |||||||
\(524\) | 6.53021 | + | 11.3107i | 0.285274 | + | 0.494109i | ||||
\(525\) | −11.0429 | − | 7.08481i | −0.481954 | − | 0.309207i | ||||
\(526\) | −11.5454 | − | 3.09357i | −0.503402 | − | 0.134886i | ||||
\(527\) | −11.1695 | − | 11.1695i | −0.486550 | − | 0.486550i | ||||
\(528\) | 2.70015 | + | 0.723502i | 0.117509 | + | 0.0314864i | ||||
\(529\) | −8.90329 | + | 15.4210i | −0.387100 | + | 0.670476i | ||||
\(530\) | −0.116967 | − | 0.202593i | −0.00508073 | − | 0.00880009i | ||||
\(531\) | −1.27738 | − | 4.76725i | −0.0554336 | − | 0.206881i | ||||
\(532\) | −7.16064 | − | 7.86474i | −0.310453 | − | 0.340980i | ||||
\(533\) | −11.5689 | + | 38.0667i | −0.501104 | + | 1.64885i | ||||
\(534\) | 7.56779 | − | 13.1078i | 0.327490 | − | 0.567230i | ||||
\(535\) | −1.05620 | − | 1.05620i | −0.0456636 | − | 0.0456636i | ||||
\(536\) | 10.2190 | 0.441394 | ||||||||
\(537\) | 4.97827 | 0.214828 | ||||||||
\(538\) | 14.8144 | + | 14.8144i | 0.638696 | + | 0.638696i | ||||
\(539\) | 19.2918 | − | 3.27476i | 0.830957 | − | 0.141054i | ||||
\(540\) | −0.0524115 | + | 0.195603i | −0.00225543 | + | 0.00841739i | ||||
\(541\) | 7.88973 | − | 2.11405i | 0.339206 | − | 0.0908899i | −0.0851952 | − | 0.996364i | \(-0.527151\pi\) |
0.424401 | + | 0.905474i | \(0.360485\pi\) | |||||||
\(542\) | −16.5734 | − | 9.56864i | −0.711887 | − | 0.411008i | ||||
\(543\) | − | 16.9305i | − | 0.726556i | ||||||
\(544\) | 2.59834 | + | 0.696224i | 0.111403 | + | 0.0298503i | ||||
\(545\) | −2.03868 | −0.0873274 | ||||||||
\(546\) | 8.98735 | + | 3.19805i | 0.384623 | + | 0.136864i | ||||
\(547\) | −26.1644 | −1.11871 | −0.559354 | − | 0.828929i | \(-0.688951\pi\) | ||||
−0.559354 | + | 0.828929i | \(0.688951\pi\) | |||||||
\(548\) | −3.47555 | − | 0.931270i | −0.148468 | − | 0.0397819i | ||||
\(549\) | − | 2.01287i | − | 0.0859073i | ||||||
\(550\) | 12.0051 | + | 6.93118i | 0.511901 | + | 0.295546i | ||||
\(551\) | 14.1782 | − | 3.79903i | 0.604010 | − | 0.161844i | ||||
\(552\) | −0.589824 | + | 2.20125i | −0.0251046 | + | 0.0936916i | ||||
\(553\) | 0.0201774 | − | 0.430579i | 0.000858031 | − | 0.0183101i | ||||
\(554\) | −15.0662 | − | 15.0662i | −0.640103 | − | 0.640103i | ||||
\(555\) | 0.334647 | 0.0142050 | ||||||||
\(556\) | 15.8694 | 0.673013 | ||||||||
\(557\) | −32.2306 | − | 32.2306i | −1.36565 | − | 1.36565i | −0.866530 | − | 0.499125i | \(-0.833655\pi\) |
−0.499125 | − | 0.866530i | \(-0.666345\pi\) | |||||||
\(558\) | −2.93607 | + | 5.08541i | −0.124294 | + | 0.215283i | ||||
\(559\) | 0.793880 | − | 23.8736i | 0.0335775 | − | 1.00974i | ||||
\(560\) | −0.510457 | − | 0.162741i | −0.0215708 | − | 0.00687705i | ||||
\(561\) | 1.94622 | + | 7.26340i | 0.0821695 | + | 0.306661i | ||||
\(562\) | −7.55027 | − | 13.0774i | −0.318489 | − | 0.551639i | ||||
\(563\) | 16.2747 | − | 28.1887i | 0.685898 | − | 1.18801i | −0.287255 | − | 0.957854i | \(-0.592743\pi\) |
0.973154 | − | 0.230157i | \(-0.0739239\pi\) | |||||||
\(564\) | 5.83398 | + | 1.56321i | 0.245655 | + | 0.0658230i | ||||
\(565\) | −2.29538 | − | 2.29538i | −0.0965675 | − | 0.0965675i | ||||
\(566\) | −10.7467 | − | 2.87957i | −0.451718 | − | 0.121037i | ||||
\(567\) | −2.35070 | + | 1.21417i | −0.0987201 | + | 0.0509904i | ||||
\(568\) | −0.547861 | − | 0.948923i | −0.0229877 | − | 0.0398159i | ||||
\(569\) | 6.58799 | − | 3.80358i | 0.276183 | − | 0.159454i | −0.355511 | − | 0.934672i | \(-0.615693\pi\) |
0.631694 | + | 0.775218i | \(0.282360\pi\) | |||||||
\(570\) | −0.575643 | + | 0.575643i | −0.0241110 | + | 0.0241110i | ||||
\(571\) | 15.5269 | − | 8.96445i | 0.649780 | − | 0.375150i | −0.138592 | − | 0.990350i | \(-0.544258\pi\) |
0.788372 | + | 0.615199i | \(0.210924\pi\) | |||||||
\(572\) | −9.64344 | − | 2.93074i | −0.403212 | − | 0.122541i | ||||
\(573\) | 19.8491i | 0.829208i | ||||||||
\(574\) | 25.9390 | − | 13.3979i | 1.08267 | − | 0.559217i | ||||
\(575\) | −5.65054 | + | 9.78702i | −0.235644 | + | 0.408147i | ||||
\(576\) | − | 1.00000i | − | 0.0416667i | ||||||
\(577\) | −11.5319 | + | 43.0378i | −0.480081 | + | 1.79169i | 0.121177 | + | 0.992631i | \(0.461333\pi\) |
−0.601258 | + | 0.799055i | \(0.705333\pi\) | |||||||
\(578\) | −2.52708 | − | 9.43120i | −0.105113 | − | 0.392286i | ||||
\(579\) | 9.36842 | − | 9.36842i | 0.389338 | − | 0.389338i | ||||
\(580\) | 0.522822 | − | 0.522822i | 0.0217090 | − | 0.0217090i | ||||
\(581\) | −17.9416 | − | 5.72003i | −0.744344 | − | 0.237307i | ||||
\(582\) | 9.04280 | + | 5.22086i | 0.374836 | + | 0.216412i | ||||
\(583\) | −0.835802 | + | 3.11925i | −0.0346154 | + | 0.129186i | ||||
\(584\) | −5.94514 | − | 10.2973i | −0.246012 | − | 0.426105i | ||||
\(585\) | 0.212307 | − | 0.698585i | 0.00877783 | − | 0.0288829i | ||||
\(586\) | −18.6107 | − | 10.7449i | −0.768803 | − | 0.443868i | ||||
\(587\) | 31.6736 | − | 8.48692i | 1.30731 | − | 0.350293i | 0.463100 | − | 0.886306i | \(-0.346737\pi\) |
0.844210 | + | 0.536013i | \(0.180070\pi\) | |||||||
\(588\) | −2.91775 | − | 6.36292i | −0.120326 | − | 0.262402i | ||||
\(589\) | −20.4439 | + | 11.8033i | −0.842377 | + | 0.486347i | ||||
\(590\) | −0.258673 | − | 0.965381i | −0.0106494 | − | 0.0397441i | ||||
\(591\) | −14.2012 | + | 3.80520i | −0.584159 | + | 0.156525i | ||||
\(592\) | −1.59625 | + | 0.427713i | −0.0656053 | + | 0.0175789i | ||||
\(593\) | −0.0954348 | − | 0.356168i | −0.00391904 | − | 0.0146261i | 0.963939 | − | 0.266125i | \(-0.0857433\pi\) |
−0.967858 | + | 0.251499i | \(0.919077\pi\) | |||||||
\(594\) | 2.42088 | − | 1.39770i | 0.0993301 | − | 0.0573483i | ||||
\(595\) | −0.307443 | − | 1.40805i | −0.0126039 | − | 0.0577245i | ||||
\(596\) | 17.4409 | − | 4.67327i | 0.714406 | − | 0.191425i | ||||
\(597\) | 9.09613 | + | 5.25165i | 0.372280 | + | 0.214936i | ||||
\(598\) | 2.38925 | − | 7.86167i | 0.0977035 | − | 0.321488i | ||||
\(599\) | −2.12688 | − | 3.68386i | −0.0869019 | − | 0.150518i | 0.819298 | − | 0.573368i | \(-0.194363\pi\) |
−0.906200 | + | 0.422849i | \(0.861030\pi\) | |||||||
\(600\) | 1.28348 | − | 4.79002i | 0.0523979 | − | 0.195552i | ||||
\(601\) | −9.57883 | − | 5.53034i | −0.390729 | − | 0.225587i | 0.291747 | − | 0.956496i | \(-0.405763\pi\) |
−0.682476 | + | 0.730908i | \(0.739097\pi\) | |||||||
\(602\) | −12.9608 | + | 11.8005i | −0.528244 | + | 0.480952i | ||||
\(603\) | 7.22594 | − | 7.22594i | 0.294263 | − | 0.294263i | ||||
\(604\) | −12.1259 | + | 12.1259i | −0.493397 | + | 0.493397i | ||||
\(605\) | −0.166971 | − | 0.623142i | −0.00678832 | − | 0.0253343i | ||||
\(606\) | 3.57132 | − | 13.3283i | 0.145075 | − | 0.541427i | ||||
\(607\) | 9.57737i | 0.388733i | 0.980929 | + | 0.194367i | \(0.0622652\pi\) | ||||
−0.980929 | + | 0.194367i | \(0.937735\pi\) | |||||||
\(608\) | 2.01005 | − | 3.48152i | 0.0815185 | − | 0.141194i | ||||
\(609\) | 9.64964 | + | 0.452193i | 0.391023 | + | 0.0183238i | ||||
\(610\) | − | 0.407612i | − | 0.0165037i | ||||||
\(611\) | −20.8358 | − | 6.33221i | −0.842925 | − | 0.256174i | ||||
\(612\) | 2.32961 | − | 1.34500i | 0.0941689 | − | 0.0543684i | ||||
\(613\) | −2.38382 | + | 2.38382i | −0.0962815 | + | 0.0962815i | −0.753607 | − | 0.657325i | \(-0.771688\pi\) |
0.657325 | + | 0.753607i | \(0.271688\pi\) | |||||||
\(614\) | 18.4270 | − | 10.6388i | 0.743654 | − | 0.429349i | ||||
\(615\) | −1.11727 | − | 1.93517i | −0.0450526 | − | 0.0780334i | ||||
\(616\) | 3.39409 | + | 6.57114i | 0.136752 | + | 0.264759i | ||||
\(617\) | 30.4996 | + | 8.17235i | 1.22787 | + | 0.329006i | 0.813749 | − | 0.581216i | \(-0.197423\pi\) |
0.414119 | + | 0.910223i | \(0.364090\pi\) | |||||||
\(618\) | −3.47805 | − | 3.47805i | −0.139908 | − | 0.139908i | ||||
\(619\) | 4.90539 | + | 1.31440i | 0.197164 | + | 0.0528300i | 0.356050 | − | 0.934467i | \(-0.384123\pi\) |
−0.158885 | + | 0.987297i | \(0.550790\pi\) | |||||||
\(620\) | −0.594561 | + | 1.02981i | −0.0238781 | + | 0.0413582i | ||||
\(621\) | 1.13945 | + | 1.97359i | 0.0457247 | + | 0.0791975i | ||||
\(622\) | −0.492850 | − | 1.83934i | −0.0197615 | − | 0.0737509i | ||||
\(623\) | 39.1232 | − | 8.54242i | 1.56744 | − | 0.342245i | ||||
\(624\) | −0.119831 | + | 3.60356i | −0.00479708 | + | 0.144258i | ||||
\(625\) | 12.1933 | − | 21.1194i | 0.487731 | − | 0.844776i | ||||
\(626\) | −8.77848 | − | 8.77848i | −0.350859 | − | 0.350859i | ||||
\(627\) | 11.2378 | 0.448794 | ||||||||
\(628\) | −2.98353 | −0.119056 | ||||||||
\(629\) | −3.14336 | − | 3.14336i | −0.125334 | − | 0.125334i | ||||
\(630\) | −0.476023 | + | 0.245873i | −0.0189652 | + | 0.00979581i | ||||
\(631\) | −8.63674 | + | 32.2328i | −0.343823 | + | 1.28317i | 0.550158 | + | 0.835061i | \(0.314568\pi\) |
−0.893981 | + | 0.448105i | \(0.852099\pi\) | |||||||
\(632\) | 0.157371 | − | 0.0421674i | 0.00625987 | − | 0.00167733i | ||||
\(633\) | −20.2743 | − | 11.7054i | −0.805831 | − | 0.465247i | ||||
\(634\) | 24.8738i | 0.987865i | ||||||||
\(635\) | −1.67389 | − | 0.448517i | −0.0664263 | − | 0.0177989i | ||||
\(636\) | 1.15522 | 0.0458073 | ||||||||
\(637\) | 9.75180 | + | 23.2788i | 0.386380 | + | 0.922340i | ||||
\(638\) | −10.2066 | −0.404084 | ||||||||
\(639\) | −1.05839 | − | 0.283594i | −0.0418691 | − | 0.0112188i | ||||
\(640\) | − | 0.202503i | − | 0.00800462i | ||||||
\(641\) | 7.52017 | + | 4.34177i | 0.297029 | + | 0.171490i | 0.641107 | − | 0.767451i | \(-0.278475\pi\) |
−0.344078 | + | 0.938941i | \(0.611809\pi\) | |||||||
\(642\) | 7.12484 | − | 1.90909i | 0.281195 | − | 0.0753460i | ||||
\(643\) | 5.45002 | − | 20.3398i | 0.214928 | − | 0.802122i | −0.771264 | − | 0.636515i | \(-0.780375\pi\) |
0.986192 | − | 0.165606i | \(-0.0529581\pi\) | |||||||
\(644\) | −5.35703 | + | 2.76698i | −0.211096 | + | 0.109034i | ||||
\(645\) | 0.948640 | + | 0.948640i | 0.0373527 | + | 0.0373527i | ||||
\(646\) | 10.8141 | 0.425475 | ||||||||
\(647\) | −27.9234 | −1.09778 | −0.548890 | − | 0.835894i | \(-0.684949\pi\) | ||||
−0.548890 | + | 0.835894i | \(0.684949\pi\) | |||||||
\(648\) | −0.707107 | − | 0.707107i | −0.0277778 | − | 0.0277778i | ||||
\(649\) | −6.89823 | + | 11.9481i | −0.270779 | + | 0.469003i | ||||
\(650\) | −5.19910 | + | 17.1073i | −0.203925 | + | 0.671004i | ||||
\(651\) | −15.1786 | + | 3.31419i | −0.594896 | + | 0.129893i | ||||
\(652\) | 0.903119 | + | 3.37049i | 0.0353689 | + | 0.131998i | ||||
\(653\) | 11.1596 | + | 19.3289i | 0.436708 | + | 0.756400i | 0.997433 | − | 0.0716016i | \(-0.0228110\pi\) |
−0.560725 | + | 0.828002i | \(0.689478\pi\) | |||||||
\(654\) | 5.03371 | − | 8.71864i | 0.196834 | − | 0.340926i | ||||
\(655\) | 2.55465 | + | 0.684517i | 0.0998185 | + | 0.0267463i | ||||
\(656\) | 7.80264 | + | 7.80264i | 0.304642 | + | 0.304642i | ||||
\(657\) | −11.4851 | − | 3.07743i | −0.448078 | − | 0.120062i | ||||
\(658\) | 7.33332 | + | 14.1977i | 0.285883 | + | 0.553484i | ||||
\(659\) | 16.2186 | + | 28.0915i | 0.631788 | + | 1.09429i | 0.987186 | + | 0.159574i | \(0.0510121\pi\) |
−0.355398 | + | 0.934715i | \(0.615655\pi\) | |||||||
\(660\) | 0.490235 | − | 0.283038i | 0.0190824 | − | 0.0110172i | ||||
\(661\) | 9.56629 | − | 9.56629i | 0.372086 | − | 0.372086i | −0.496151 | − | 0.868236i | \(-0.665254\pi\) |
0.868236 | + | 0.496151i | \(0.165254\pi\) | |||||||
\(662\) | −20.9729 | + | 12.1087i | −0.815135 | + | 0.470618i | ||||
\(663\) | −8.55606 | + | 4.56763i | −0.332290 | + | 0.177392i | ||||
\(664\) | − | 7.11759i | − | 0.276216i | ||||||
\(665\) | −2.15150 | − | 0.100822i | −0.0834316 | − | 0.00390969i | ||||
\(666\) | −0.826278 | + | 1.43115i | −0.0320176 | + | 0.0554561i | ||||
\(667\) | − | 8.32080i | − | 0.322183i | ||||||
\(668\) | −1.13433 | + | 4.23339i | −0.0438887 | + | 0.163795i | ||||
\(669\) | 3.46676 | + | 12.9381i | 0.134033 | + | 0.500216i | ||||
\(670\) | 1.46327 | − | 1.46327i | 0.0565311 | − | 0.0565311i | ||||
\(671\) | −3.97873 | + | 3.97873i | −0.153597 | + | 0.153597i | ||||
\(672\) | 1.95635 | − | 1.78120i | 0.0754679 | − | 0.0687115i | ||||
\(673\) | 23.0933 | + | 13.3329i | 0.890180 | + | 0.513946i | 0.874001 | − | 0.485923i | \(-0.161517\pi\) |
0.0161787 | + | 0.999869i | \(0.494850\pi\) | |||||||
\(674\) | −6.43341 | + | 24.0098i | −0.247806 | + | 0.924823i | ||||
\(675\) | −2.47950 | − | 4.29461i | −0.0954359 | − | 0.165300i | ||||
\(676\) | 0.863636 | − | 12.9713i | 0.0332168 | − | 0.498895i | ||||
\(677\) | 29.7732 | + | 17.1896i | 1.14428 | + | 0.660648i | 0.947486 | − | 0.319797i | \(-0.103615\pi\) |
0.196790 | + | 0.980446i | \(0.436948\pi\) | |||||||
\(678\) | 15.4840 | − | 4.14893i | 0.594660 | − | 0.159339i | ||||
\(679\) | 5.89324 | + | 26.9903i | 0.226162 | + | 1.03579i | ||||
\(680\) | 0.471752 | − | 0.272366i | 0.0180909 | − | 0.0104448i | ||||
\(681\) | −2.55770 | − | 9.54548i | −0.0980115 | − | 0.365784i | ||||
\(682\) | 15.8556 | − | 4.24850i | 0.607143 | − | 0.162683i | ||||
\(683\) | 26.7897 | − | 7.17827i | 1.02508 | − | 0.274669i | 0.293162 | − | 0.956063i | \(-0.405293\pi\) |
0.731917 | + | 0.681394i | \(0.238626\pi\) | |||||||
\(684\) | −1.04048 | − | 3.88313i | −0.0397838 | − | 0.148475i | ||||
\(685\) | −0.631016 | + | 0.364317i | −0.0241099 | + | 0.0139199i | ||||
\(686\) | 7.25100 | − | 17.0418i | 0.276845 | − | 0.650659i | ||||
\(687\) | −12.0968 | + | 3.24133i | −0.461522 | + | 0.123664i | ||||
\(688\) | −5.73742 | − | 3.31250i | −0.218737 | − | 0.126288i | ||||
\(689\) | −4.16289 | − | 0.138431i | −0.158594 | − | 0.00527380i | ||||
\(690\) | 0.230742 | + | 0.399657i | 0.00878421 | + | 0.0152147i | ||||
\(691\) | 0.375575 | − | 1.40166i | 0.0142875 | − | 0.0533218i | −0.958414 | − | 0.285381i | \(-0.907880\pi\) |
0.972702 | + | 0.232060i | \(0.0745464\pi\) | |||||||
\(692\) | −19.1819 | − | 11.0747i | −0.729187 | − | 0.420996i | ||||
\(693\) | 7.04648 | + | 2.24651i | 0.267674 | + | 0.0853379i | ||||
\(694\) | −3.40448 | + | 3.40448i | −0.129232 | + | 0.129232i | ||||
\(695\) | 2.27236 | − | 2.27236i | 0.0861954 | − | 0.0861954i | ||||
\(696\) | 0.945006 | + | 3.52681i | 0.0358204 | + | 0.133683i | ||||
\(697\) | −7.68255 | + | 28.6717i | −0.290997 | + | 1.08602i | ||||
\(698\) | − | 31.6117i | − | 1.19652i | ||||||
\(699\) | 12.9678 | − | 22.4609i | 0.490487 | − | 0.849549i | ||||
\(700\) | 11.6571 | − | 6.02107i | 0.440597 | − | 0.227575i | ||||
\(701\) | 10.5142i | 0.397116i | 0.980089 | + | 0.198558i | \(0.0636258\pi\) | ||||
−0.980089 | + | 0.198558i | \(0.936374\pi\) | |||||||
\(702\) | 2.46337 | + | 2.63283i | 0.0929738 | + | 0.0993699i | ||||
\(703\) | −5.75340 | + | 3.32173i | −0.216994 | + | 0.125281i | ||||
\(704\) | −1.97664 | + | 1.97664i | −0.0744976 | + | 0.0744976i | ||||
\(705\) | 1.05921 | − | 0.611535i | 0.0398922 | − | 0.0230318i | ||||
\(706\) | −2.50559 | − | 4.33980i | −0.0942990 | − | 0.163331i | ||||
\(707\) | 32.4361 | − | 16.7537i | 1.21989 | − | 0.630090i | ||||
\(708\) | 4.76725 | + | 1.27738i | 0.179164 | + | 0.0480069i | ||||
\(709\) | 14.6418 | + | 14.6418i | 0.549885 | + | 0.549885i | 0.926407 | − | 0.376523i | \(-0.122880\pi\) |
−0.376523 | + | 0.926407i | \(0.622880\pi\) | |||||||
\(710\) | −0.214326 | − | 0.0574285i | −0.00804351 | − | 0.00215525i | ||||
\(711\) | 0.0814611 | − | 0.141095i | 0.00305503 | − | 0.00529147i | ||||
\(712\) | 7.56779 | + | 13.1078i | 0.283615 | + | 0.491235i | ||||
\(713\) | 3.46353 | + | 12.9261i | 0.129710 | + | 0.484085i | ||||
\(714\) | 6.78081 | + | 2.16181i | 0.253765 | + | 0.0809038i | ||||
\(715\) | −1.80051 | + | 0.961197i | −0.0673352 | + | 0.0359467i | ||||
\(716\) | −2.48913 | + | 4.31131i | −0.0930233 | + | 0.161121i | ||||
\(717\) | −3.56842 | − | 3.56842i | −0.133265 | − | 0.133265i | ||||
\(718\) | −10.9332 | −0.408024 | ||||||||
\(719\) | 15.4767 | 0.577185 | 0.288593 | − | 0.957452i | \(-0.406813\pi\) | ||||
0.288593 | + | 0.957452i | \(0.406813\pi\) | |||||||
\(720\) | −0.143191 | − | 0.143191i | −0.00533641 | − | 0.00533641i | ||||
\(721\) | 0.609167 | − | 12.9994i | 0.0226866 | − | 0.484124i | ||||
\(722\) | −0.734716 | + | 2.74200i | −0.0273433 | + | 0.102047i | ||||
\(723\) | 16.5538 | − | 4.43559i | 0.615644 | − | 0.164961i | ||||
\(724\) | 14.6622 | + | 8.46524i | 0.544917 | + | 0.314608i | ||||
\(725\) | 18.1064i | 0.672454i | ||||||||
\(726\) | 3.07721 | + | 0.824535i | 0.114206 | + | 0.0306014i | ||||
\(727\) | −34.5270 | −1.28054 | −0.640268 | − | 0.768152i | \(-0.721177\pi\) | ||||
−0.640268 | + | 0.768152i | \(0.721177\pi\) | |||||||
\(728\) | −7.26327 | + | 6.18425i | −0.269195 | + | 0.229203i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −2.32577 | − | 0.623188i | −0.0860806 | − | 0.0230652i | ||||
\(731\) | − | 17.8213i | − | 0.659143i | ||||||
\(732\) | 1.74320 | + | 1.00644i | 0.0644304 | + | 0.0371989i | ||||
\(733\) | 23.1376 | − | 6.19969i | 0.854605 | − | 0.228991i | 0.195186 | − | 0.980766i | \(-0.437469\pi\) |
0.659419 | + | 0.751775i | \(0.270802\pi\) | |||||||
\(734\) | −4.10901 | + | 15.3351i | −0.151666 | + | 0.566027i | ||||
\(735\) | −1.32891 | − | 0.493318i | −0.0490175 | − | 0.0181963i | ||||
\(736\) | −1.61143 | − | 1.61143i | −0.0593981 | − | 0.0593981i | ||||
\(737\) | −28.5662 | −1.05225 | ||||||||
\(738\) | 11.0346 | 0.406189 | ||||||||
\(739\) | −11.5248 | − | 11.5248i | −0.423946 | − | 0.423946i | 0.462614 | − | 0.886560i | \(-0.346912\pi\) |
−0.886560 | + | 0.462614i | \(0.846912\pi\) | |||||||
\(740\) | −0.167323 | + | 0.289813i | −0.00615093 | + | 0.0106537i | ||||
\(741\) | 3.28412 | + | 14.1178i | 0.120645 | + | 0.518629i | ||||
\(742\) | 2.05768 | + | 2.26001i | 0.0755398 | + | 0.0829676i | ||||
\(743\) | 3.59453 | + | 13.4150i | 0.131870 | + | 0.492147i | 0.999991 | − | 0.00420608i | \(-0.00133884\pi\) |
−0.868121 | + | 0.496353i | \(0.834672\pi\) | |||||||
\(744\) | −2.93607 | − | 5.08541i | −0.107641 | − | 0.186440i | ||||
\(745\) | 1.82821 | − | 3.16655i | 0.0669803 | − | 0.116013i | ||||
\(746\) | 0.155589 | + | 0.0416900i | 0.00569653 | + | 0.00152638i | ||||
\(747\) | −5.03290 | − | 5.03290i | −0.184144 | − | 0.184144i | ||||
\(748\) | −7.26340 | − | 1.94622i | −0.265576 | − | 0.0711609i | ||||
\(749\) | 16.4257 | + | 10.5382i | 0.600180 | + | 0.385057i | ||||
\(750\) | −1.00836 | − | 1.74653i | −0.0368201 | − | 0.0637744i | ||||
\(751\) | −35.6855 | + | 20.6030i | −1.30218 | + | 0.751815i | −0.980778 | − | 0.195127i | \(-0.937488\pi\) |
−0.321405 | + | 0.946942i | \(0.604155\pi\) | |||||||
\(752\) | −4.27077 | + | 4.27077i | −0.155739 | + | 0.155739i | ||||
\(753\) | 12.6593 | − | 7.30883i | 0.461329 | − | 0.266348i | ||||
\(754\) | −2.98276 | − | 12.8223i | −0.108626 | − | 0.466961i | ||||
\(755\) | 3.47265i | 0.126383i | ||||||||
\(756\) | 0.123847 | − | 2.64285i | 0.00450427 | − | 0.0961196i | ||||
\(757\) | 21.4812 | − | 37.2065i | 0.780747 | − | 1.35229i | −0.150760 | − | 0.988570i | \(-0.548172\pi\) |
0.931507 | − | 0.363723i | \(-0.118495\pi\) | |||||||
\(758\) | 6.27017i | 0.227743i | ||||||||
\(759\) | 1.64879 | − | 6.15338i | 0.0598474 | − | 0.223354i | ||||
\(760\) | −0.210700 | − | 0.786343i | −0.00764289 | − | 0.0285237i | ||||
\(761\) | −0.614251 | + | 0.614251i | −0.0222666 | + | 0.0222666i | −0.718152 | − | 0.695886i | \(-0.755012\pi\) |
0.695886 | + | 0.718152i | \(0.255012\pi\) | |||||||
\(762\) | 6.05114 | − | 6.05114i | 0.219210 | − | 0.219210i | ||||
\(763\) | 26.0228 | − | 5.68199i | 0.942089 | − | 0.205702i | ||||
\(764\) | −17.1898 | − | 9.92455i | −0.621906 | − | 0.359058i | ||||
\(765\) | 0.140987 | − | 0.526171i | 0.00509740 | − | 0.0190238i | ||||
\(766\) | −10.2827 | − | 17.8102i | −0.371529 | − | 0.643507i | ||||
\(767\) | −17.0260 | − | 5.17438i | −0.614773 | − | 0.186836i | ||||
\(768\) | 0.866025 | + | 0.500000i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | −23.3053 | + | 6.24465i | −0.840412 | + | 0.225188i | −0.653251 | − | 0.757142i | \(-0.726595\pi\) |
−0.187161 | + | 0.982329i | \(0.559929\pi\) | |||||||
\(770\) | 1.42693 | + | 0.454925i | 0.0514230 | + | 0.0163943i | ||||
\(771\) | 4.47570 | − | 2.58405i | 0.161188 | − | 0.0930621i | ||||
\(772\) | 3.42908 | + | 12.7975i | 0.123415 | + | 0.460592i | ||||
\(773\) | −1.15399 | + | 0.309211i | −0.0415061 | + | 0.0111215i | −0.279512 | − | 0.960142i | \(-0.590173\pi\) |
0.238006 | + | 0.971264i | \(0.423506\pi\) | |||||||
\(774\) | −6.39926 | + | 1.71468i | −0.230016 | + | 0.0616327i | ||||
\(775\) | −7.53677 | − | 28.1276i | −0.270729 | − | 1.01037i | ||||
\(776\) | −9.04280 | + | 5.22086i | −0.324618 | + | 0.187418i | ||||
\(777\) | −4.27161 | + | 0.932691i | −0.153243 | + | 0.0334601i | ||||
\(778\) | −17.5403 | + | 4.69990i | −0.628850 | + | 0.168500i | ||||
\(779\) | 38.4172 | + | 22.1802i | 1.37644 | + | 0.794687i | ||||
\(780\) | 0.498838 | + | 0.533156i | 0.0178613 | + | 0.0190900i | ||||
\(781\) | 1.53149 | + | 2.65262i | 0.0548010 | + | 0.0949181i | ||||
\(782\) | 1.58663 | − | 5.92138i | 0.0567377 | − | 0.211748i | ||||
\(783\) | 3.16205 | + | 1.82561i | 0.113003 | + | 0.0652420i | ||||
\(784\) | 6.96932 | + | 0.654618i | 0.248904 | + | 0.0233792i | ||||
\(785\) | −0.427215 | + | 0.427215i | −0.0152479 | + | 0.0152479i | ||||
\(786\) | −9.23512 | + | 9.23512i | −0.329406 | + | 0.329406i | ||||
\(787\) | −2.24990 | − | 8.39674i | −0.0802003 | − | 0.299311i | 0.914162 | − | 0.405349i | \(-0.132850\pi\) |
−0.994362 | + | 0.106038i | \(0.966183\pi\) | |||||||
\(788\) | 3.80520 | − | 14.2012i | 0.135555 | − | 0.505897i | ||||
\(789\) | − | 11.9526i | − | 0.425525i | ||||||
\(790\) | 0.0164961 | − | 0.0285721i | 0.000586905 | − | 0.00101655i | ||||
\(791\) | 35.6970 | + | 22.9021i | 1.26924 | + | 0.814304i | ||||
\(792\) | 2.79540i | 0.0993301i | ||||||||
\(793\) | −6.16111 | − | 3.83564i | −0.218788 | − | 0.136208i | ||||
\(794\) | −11.6790 | + | 6.74286i | −0.414471 | + | 0.239295i | ||||
\(795\) | 0.165417 | − | 0.165417i | 0.00586673 | − | 0.00586673i | ||||
\(796\) | −9.09613 | + | 5.25165i | −0.322404 | + | 0.186140i | ||||
\(797\) | −14.2978 | − | 24.7644i | −0.506453 | − | 0.877202i | −0.999972 | − | 0.00746693i | \(-0.997623\pi\) |
0.493520 | − | 0.869735i | \(-0.335710\pi\) | |||||||
\(798\) | 5.74345 | − | 8.95219i | 0.203316 | − | 0.316904i | ||||
\(799\) | −15.6934 | − | 4.20504i | −0.555193 | − | 0.148763i | ||||
\(800\) | 3.50654 | + | 3.50654i | 0.123975 | + | 0.123975i | ||||
\(801\) | 14.6198 | + | 3.91737i | 0.516567 | + | 0.138414i | ||||
\(802\) | −10.6248 | + | 18.4026i | −0.375173 | + | 0.649819i | ||||
\(803\) | 16.6190 | + | 28.7850i | 0.586473 | + | 1.01580i | ||||
\(804\) | 2.64488 | + | 9.87081i | 0.0932776 | + | 0.348117i | ||||
\(805\) | −0.370871 | + | 1.16328i | −0.0130715 | + | 0.0410004i | ||||
\(806\) | 9.97090 | + | 18.6774i | 0.351210 | + | 0.657884i | ||||
\(807\) | −10.4754 | + | 18.1439i | −0.368751 | + | 0.638696i | ||||
\(808\) | 9.75702 | + | 9.75702i | 0.343251 | + | 0.343251i | ||||
\(809\) | 27.1833 | 0.955714 | 0.477857 | − | 0.878438i | \(-0.341414\pi\) | ||||
0.477857 | + | 0.878438i | \(0.341414\pi\) | |||||||
\(810\) | −0.202503 | −0.00711522 | ||||||||
\(811\) | −22.9191 | − | 22.9191i | −0.804799 | − | 0.804799i | 0.179043 | − | 0.983841i | \(-0.442700\pi\) |
−0.983841 | + | 0.179043i | \(0.942700\pi\) | |||||||
\(812\) | −5.21643 | + | 8.13074i | −0.183061 | + | 0.285333i | ||||
\(813\) | 4.95309 | − | 18.4852i | 0.173713 | − | 0.648304i | ||||
\(814\) | 4.46214 | − | 1.19563i | 0.156398 | − | 0.0419067i | ||||
\(815\) | 0.611942 | + | 0.353305i | 0.0214354 | + | 0.0123757i | ||||
\(816\) | 2.69000i | 0.0941689i | ||||||||
\(817\) | −25.7257 | − | 6.89318i | −0.900028 | − | 0.241162i | ||||
\(818\) | −28.4299 | −0.994028 | ||||||||
\(819\) | −0.762985 | + | 9.50883i | −0.0266609 | + | 0.332265i | ||||
\(820\) | 2.23454 | 0.0780334 | ||||||||
\(821\) | −36.5358 | − | 9.78973i | −1.27511 | − | 0.341664i | −0.443121 | − | 0.896462i | \(-0.646129\pi\) |
−0.831985 | + | 0.554798i | \(0.812796\pi\) | |||||||
\(822\) | − | 3.59815i | − | 0.125500i | ||||||
\(823\) | 25.2800 | + | 14.5954i | 0.881204 | + | 0.508763i | 0.871055 | − | 0.491185i | \(-0.163436\pi\) |
0.0101489 | + | 0.999948i | \(0.496769\pi\) | |||||||
\(824\) | 4.75111 | − | 1.27306i | 0.165513 | − | 0.0443490i | ||||
\(825\) | −3.58784 | + | 13.3900i | −0.124913 | + | 0.466180i | ||||
\(826\) | 5.99245 | + | 11.6017i | 0.208504 | + | 0.403675i | ||||
\(827\) | −33.4695 | − | 33.4695i | −1.16385 | − | 1.16385i | −0.983626 | − | 0.180223i | \(-0.942318\pi\) |
−0.180223 | − | 0.983626i | \(-0.557682\pi\) | |||||||
\(828\) | −2.27891 | −0.0791975 | ||||||||
\(829\) | −41.6537 | −1.44669 | −0.723347 | − | 0.690485i | \(-0.757397\pi\) | ||||
−0.723347 | + | 0.690485i | \(0.757397\pi\) | |||||||
\(830\) | −1.01917 | − | 1.01917i | −0.0353761 | − | 0.0353761i | ||||
\(831\) | 10.6534 | − | 18.4523i | 0.369563 | − | 0.640103i | ||||
\(832\) | −3.06086 | − | 1.90556i | −0.106116 | − | 0.0660633i | ||||
\(833\) | 7.84874 | + | 17.1163i | 0.271943 | + | 0.593043i | ||||
\(834\) | 4.10731 | + | 15.3287i | 0.142224 | + | 0.530789i | ||||
\(835\) | 0.443757 | + | 0.768609i | 0.0153568 | + | 0.0265988i | ||||
\(836\) | −5.61890 | + | 9.73222i | −0.194334 | + | 0.336596i | ||||
\(837\) | −5.67204 | − | 1.51982i | −0.196054 | − | 0.0525326i | ||||
\(838\) | 18.2947 | + | 18.2947i | 0.631978 | + | 0.631978i | ||||
\(839\) | −3.23633 | − | 0.867171i | −0.111730 | − | 0.0299381i | 0.202521 | − | 0.979278i | \(-0.435087\pi\) |
−0.314251 | + | 0.949340i | \(0.601753\pi\) | |||||||
\(840\) | 0.0250793 | − | 0.535184i | 0.000865319 | − | 0.0184656i | ||||
\(841\) | 7.83428 | + | 13.5694i | 0.270148 | + | 0.467910i | ||||
\(842\) | 0.317836 | − | 0.183503i | 0.0109534 | − | 0.00632392i | ||||
\(843\) | 10.6777 | − | 10.6777i | 0.367759 | − | 0.367759i | ||||
\(844\) | 20.2743 | − | 11.7054i | 0.697870 | − | 0.402915i | ||||
\(845\) | −1.73371 | − | 1.98104i | −0.0596413 | − | 0.0681497i | ||||
\(846\) | 6.03978i | 0.207652i | ||||||||
\(847\) | 3.86806 | + | 7.48876i | 0.132908 | + | 0.257317i | ||||
\(848\) | −0.577609 | + | 1.00045i | −0.0198352 | + | 0.0343555i | ||||
\(849\) | − | 11.1258i | − | 0.381837i | ||||||
\(850\) | −3.45257 | + | 12.8852i | −0.118422 | + | 0.441957i | ||||
\(851\) | 0.974717 | + | 3.63769i | 0.0334129 | + | 0.124699i | ||||
\(852\) | 0.774793 | − | 0.774793i | 0.0265440 | − | 0.0265440i | ||||
\(853\) | −38.1904 | + | 38.1904i | −1.30761 | + | 1.30761i | −0.384479 | + | 0.923134i | \(0.625619\pi\) |
−0.923134 | + | 0.384479i | \(0.874381\pi\) | |||||||
\(854\) | 1.13605 | + | 5.20297i | 0.0388749 | + | 0.178042i | ||||
\(855\) | −0.705016 | − | 0.407041i | −0.0241110 | − | 0.0139205i | ||||
\(856\) | −1.90909 | + | 7.12484i | −0.0652515 | + | 0.243522i | ||||
\(857\) | −23.7123 | − | 41.0709i | −0.809997 | − | 1.40296i | −0.912865 | − | 0.408261i | \(-0.866135\pi\) |
0.102868 | − | 0.994695i | \(-0.467198\pi\) | |||||||
\(858\) | 0.334975 | − | 10.0734i | 0.0114359 | − | 0.343899i | ||||
\(859\) | −18.7079 | − | 10.8010i | −0.638305 | − | 0.368526i | 0.145656 | − | 0.989335i | \(-0.453471\pi\) |
−0.783961 | + | 0.620809i | \(0.786804\pi\) | |||||||
\(860\) | −1.29587 | + | 0.347226i | −0.0441887 | + | 0.0118403i | ||||
\(861\) | 19.6549 | + | 21.5876i | 0.669837 | + | 0.735702i | ||||
\(862\) | −0.664042 | + | 0.383385i | −0.0226174 | + | 0.0130581i | ||||
\(863\) | 5.71445 | + | 21.3266i | 0.194522 | + | 0.725966i | 0.992390 | + | 0.123134i | \(0.0392945\pi\) |
−0.797868 | + | 0.602832i | \(0.794039\pi\) | |||||||
\(864\) | 0.965926 | − | 0.258819i | 0.0328615 | − | 0.00880520i | ||||
\(865\) | −4.33247 | + | 1.16088i | −0.147308 | + | 0.0394712i | ||||
\(866\) | −0.755033 | − | 2.81782i | −0.0256571 | − | 0.0957535i | ||||
\(867\) | 8.45578 | − | 4.88195i | 0.287173 | − | 0.165800i | ||||
\(868\) | 4.71912 | − | 14.8021i | 0.160177 | − | 0.502417i | ||||
\(869\) | −0.439914 | + | 0.117875i | −0.0149231 | + | 0.00399862i | ||||
\(870\) | 0.640324 | + | 0.369691i | 0.0217090 | + | 0.0125337i | ||||
\(871\) | −8.34814 | − | 35.8870i | −0.282866 | − | 1.21598i | ||||
\(872\) | 5.03371 | + | 8.71864i | 0.170463 | + | 0.295251i | ||||
\(873\) | −2.70252 | + | 10.0859i | −0.0914663 | + | 0.341357i | ||||
\(874\) | −7.93405 | − | 4.58073i | −0.268373 | − | 0.154945i | ||||
\(875\) | 1.62073 | − | 5.08364i | 0.0547908 | − | 0.171858i | ||||
\(876\) | 8.40770 | − | 8.40770i | 0.284070 | − | 0.284070i | ||||
\(877\) | 5.15862 | − | 5.15862i | 0.174194 | − | 0.174194i | −0.614625 | − | 0.788819i | \(-0.710693\pi\) |
0.788819 | + | 0.614625i | \(0.210693\pi\) | |||||||
\(878\) | −1.73256 | − | 6.46599i | −0.0584710 | − | 0.218217i | ||||
\(879\) | 5.56198 | − | 20.7576i | 0.187601 | − | 0.700136i | ||||
\(880\) | 0.566075i | 0.0190824i | ||||||||
\(881\) | −10.5727 | + | 18.3125i | −0.356204 | + | 0.616964i | −0.987323 | − | 0.158722i | \(-0.949263\pi\) |
0.631119 | + | 0.775686i | \(0.282596\pi\) | |||||||
\(882\) | 5.39094 | − | 4.46517i | 0.181522 | − | 0.150350i | ||||
\(883\) | 35.0673i | 1.18011i | 0.807363 | + | 0.590055i | \(0.200894\pi\) | ||||
−0.807363 | + | 0.590055i | \(0.799106\pi\) | |||||||
\(884\) | 0.322346 | − | 9.69358i | 0.0108417 | − | 0.326030i | ||||
\(885\) | 0.865537 | − | 0.499718i | 0.0290947 | − | 0.0167978i | ||||
\(886\) | −19.9704 | + | 19.9704i | −0.670920 | + | 0.670920i | ||||
\(887\) | 45.1499 | − | 26.0673i | 1.51598 | − | 0.875254i | 0.516161 | − | 0.856492i | \(-0.327361\pi\) |
0.999824 | − | 0.0187625i | \(-0.00597263\pi\) | |||||||
\(888\) | −0.826278 | − | 1.43115i | −0.0277281 | − | 0.0480264i | ||||
\(889\) | 22.6165 | + | 1.05983i | 0.758532 | + | 0.0355457i | ||||
\(890\) | 2.96056 | + | 0.793279i | 0.0992381 | + | 0.0265908i | ||||
\(891\) | 1.97664 | + | 1.97664i | 0.0662201 | + | 0.0662201i | ||||
\(892\) | −12.9381 | − | 3.46676i | −0.433200 | − | 0.116076i | ||||
\(893\) | −12.1403 | + | 21.0276i | −0.406259 | + | 0.703661i | ||||
\(894\) | 9.02807 | + | 15.6371i | 0.301944 | + | 0.522982i | ||||
\(895\) | 0.260919 | + | 0.973762i | 0.00872155 | + | 0.0325493i | ||||
\(896\) | 0.564393 | + | 2.58485i | 0.0188551 | + | 0.0863538i | ||||
\(897\) | 8.21218 | + | 0.273084i | 0.274197 | + | 0.00911800i | ||||
\(898\) | 19.8010 | − | 34.2964i | 0.660769 | − | 1.14449i | ||||
\(899\) | 15.1607 | + | 15.1607i | 0.505637 | + | 0.505637i | ||||
\(900\) | 4.95899 | 0.165300 | ||||||||
\(901\) | −3.10754 | −0.103527 | ||||||||
\(902\) | −21.8115 | − | 21.8115i | −0.726243 | − | 0.726243i | ||||
\(903\) | −14.7529 | − | 9.46500i | −0.490946 | − | 0.314976i | ||||
\(904\) | −4.14893 | + | 15.4840i | −0.137991 | + | 0.514991i | ||||
\(905\) | 3.31164 | − | 0.887352i | 0.110083 | − | 0.0294966i | ||||
\(906\) | −14.8512 | − | 8.57432i | −0.493397 | − | 0.284863i | ||||
\(907\) | 28.0120i | 0.930124i | 0.885278 | + | 0.465062i | \(0.153968\pi\) | ||||
−0.885278 | + | 0.465062i | \(0.846032\pi\) | |||||||
\(908\) | 9.54548 | + | 2.55770i | 0.316778 | + | 0.0848804i | ||||
\(909\) | 13.7985 | 0.457668 | ||||||||
\(910\) | −0.154506 | + | 1.92556i | −0.00512184 | + | 0.0638318i | ||||
\(911\) | −18.6644 | −0.618379 | −0.309189 | − | 0.951000i | \(-0.600058\pi\) | ||||
−0.309189 | + | 0.951000i | \(0.600058\pi\) | |||||||
\(912\) | 3.88313 | + | 1.04048i | 0.128583 | + | 0.0344538i | ||||
\(913\) | 19.8965i | 0.658478i | ||||||||
\(914\) | 35.6614 | + | 20.5891i | 1.17957 | + | 0.681028i | ||||
\(915\) | 0.393723 | − | 0.105498i | 0.0130161 | − | 0.00348765i | ||||
\(916\) | 3.24133 | − | 12.0968i | 0.107096 | − | 0.399689i | ||||
\(917\) | −34.5168 | − | 1.61749i | −1.13984 | − | 0.0534143i | ||||
\(918\) | 1.90212 | + | 1.90212i | 0.0627793 | + | 0.0627793i | ||||
\(919\) | 40.3772 | 1.33192 | 0.665961 | − | 0.745987i | \(-0.268022\pi\) | ||||
0.665961 | + | 0.745987i | \(0.268022\pi\) | |||||||
\(920\) | −0.461485 | −0.0152147 | ||||||||
\(921\) | 15.0456 | + | 15.0456i | 0.495769 | + | 0.495769i | ||||
\(922\) | −7.73310 | + | 13.3941i | −0.254676 | + | 0.441112i | ||||
\(923\) | −2.88486 | + | 2.69917i | −0.0949562 | + | 0.0888442i | ||||
\(924\) | −5.46878 | + | 4.97917i | −0.179910 | + | 0.163803i | ||||
\(925\) | −2.12102 | − | 7.91577i | −0.0697389 | − | 0.260269i | ||||
\(926\) | 19.1678 | + | 33.1996i | 0.629894 | + | 1.09101i | ||||
\(927\) | 2.45936 | − | 4.25973i | 0.0807758 | − | 0.139908i | ||||
\(928\) | −3.52681 | − | 0.945006i | −0.115773 | − | 0.0310213i | ||||
\(929\) | −38.9271 | − | 38.9271i | −1.27716 | − | 1.27716i | −0.942253 | − | 0.334903i | \(-0.891297\pi\) |
−0.334903 | − | 0.942253i | \(-0.608703\pi\) | |||||||
\(930\) | −1.14860 | − | 0.307767i | −0.0376642 | − | 0.0100921i | ||||
\(931\) | 27.7439 | − | 4.70948i | 0.909269 | − | 0.154347i | ||||
\(932\) | 12.9678 | + | 22.4609i | 0.424775 | + | 0.735731i | ||||
\(933\) | 1.64911 | − | 0.952113i | 0.0539894 | − | 0.0311708i | ||||
\(934\) | −10.1228 | + | 10.1228i | −0.331229 | + | 0.331229i | ||||
\(935\) | −1.31873 | + | 0.761371i | −0.0431272 | + | 0.0248995i | ||||
\(936\) | −3.51179 | + | 0.816922i | −0.114786 | + | 0.0267019i | ||||
\(937\) | 17.0327i | 0.556434i | 0.960518 | + | 0.278217i | \(0.0897435\pi\) | ||||
−0.960518 | + | 0.278217i | \(0.910256\pi\) | |||||||
\(938\) | −14.5997 | + | 22.7563i | −0.476697 | + | 0.743018i | ||||
\(939\) | 6.20732 | − | 10.7514i | 0.202568 | − | 0.350859i | ||||
\(940\) | 1.22307i | 0.0398922i | ||||||||
\(941\) | 7.98694 | − | 29.8077i | 0.260367 | − | 0.971702i | −0.704659 | − | 0.709546i | \(-0.748900\pi\) |
0.965026 | − | 0.262155i | \(-0.0844333\pi\) | |||||||
\(942\) | −0.772194 | − | 2.88187i | −0.0251595 | − | 0.0938964i | ||||
\(943\) | 17.7815 | − | 17.7815i | 0.579045 | − | 0.579045i | ||||
\(944\) | −3.48987 | + | 3.48987i | −0.113586 | + | 0.113586i | ||||
\(945\) | −0.360699 | − | 0.396166i | −0.0117335 | − | 0.0128873i | ||||
\(946\) | 16.0384 | + | 9.25975i | 0.521452 | + | 0.301060i | ||||
\(947\) | 7.76748 | − | 28.9886i | 0.252409 | − | 0.942004i | −0.717104 | − | 0.696966i | \(-0.754533\pi\) |
0.969514 | − | 0.245038i | \(-0.0788004\pi\) | |||||||
\(948\) | 0.0814611 | + | 0.141095i | 0.00264573 | + | 0.00458255i | ||||
\(949\) | −31.3052 | + | 29.2902i | −1.01621 | + | 0.950799i | ||||
\(950\) | 17.2648 | + | 9.96785i | 0.560145 | + | 0.323400i | ||||
\(951\) | −24.0263 | + | 6.43782i | −0.779105 | + | 0.208760i | ||||
\(952\) | −5.26259 | + | 4.79144i | −0.170561 | + | 0.155292i | ||||
\(953\) | 32.6542 | − | 18.8529i | 1.05777 | − | 0.610705i | 0.132957 | − | 0.991122i | \(-0.457553\pi\) |
0.924815 | + | 0.380416i | \(0.124219\pi\) | |||||||
\(954\) | 0.298992 | + | 1.11585i | 0.00968023 | + | 0.0361271i | ||||
\(955\) | −3.88253 | + | 1.04032i | −0.125636 | + | 0.0336640i | ||||
\(956\) | 4.87456 | − | 1.30613i | 0.157654 | − | 0.0422434i | ||||
\(957\) | −2.64167 | − | 9.85883i | −0.0853930 | − | 0.318691i | ||||
\(958\) | 3.76950 | − | 2.17632i | 0.121787 | − | 0.0703138i | ||||
\(959\) | 7.03924 | − | 6.40904i | 0.227309 | − | 0.206959i | ||||
\(960\) | 0.195603 | − | 0.0524115i | 0.00631304 | − | 0.00169158i | ||||
\(961\) | −3.01543 | − | 1.74096i | −0.0972720 | − | 0.0561600i | ||||
\(962\) | 2.80604 | + | 5.25626i | 0.0904705 | + | 0.169469i | ||||
\(963\) | 3.68809 | + | 6.38796i | 0.118847 | + | 0.205849i | ||||
\(964\) | −4.43559 | + | 16.5538i | −0.142861 | + | 0.533164i | ||||
\(965\) | 2.32350 | + | 1.34147i | 0.0747961 | + | 0.0431835i | ||||
\(966\) | −4.05920 | − | 4.45834i | −0.130603 | − | 0.143445i | ||||
\(967\) | −33.3921 | + | 33.3921i | −1.07382 | + | 1.07382i | −0.0767673 | + | 0.997049i | \(0.524460\pi\) |
−0.997049 | + | 0.0767673i | \(0.975540\pi\) | |||||||
\(968\) | −2.25267 | + | 2.25267i | −0.0724036 | + | 0.0724036i | ||||
\(969\) | 2.79889 | + | 10.4456i | 0.0899134 | + | 0.335562i | ||||
\(970\) | −0.547267 | + | 2.04243i | −0.0175717 | + | 0.0655784i | ||||
\(971\) | 9.74125i | 0.312612i | 0.987709 | + | 0.156306i | \(0.0499585\pi\) | ||||
−0.987709 | + | 0.156306i | \(0.950041\pi\) | |||||||
\(972\) | 0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | ||||
\(973\) | −22.6723 | + | 35.3388i | −0.726841 | + | 1.13291i | ||||
\(974\) | − | 11.5517i | − | 0.370140i | ||||||
\(975\) | −17.8700 | − | 0.594241i | −0.572299 | − | 0.0190309i | ||||
\(976\) | −1.74320 | + | 1.00644i | −0.0557984 | + | 0.0322152i | ||||
\(977\) | 29.1893 | − | 29.1893i | 0.933849 | − | 0.933849i | −0.0640950 | − | 0.997944i | \(-0.520416\pi\) |
0.997944 | + | 0.0640950i | \(0.0204161\pi\) | |||||||
\(978\) | −3.02189 | + | 1.74469i | −0.0966295 | + | 0.0557891i | ||||
\(979\) | −21.1550 | − | 36.6415i | −0.676116 | − | 1.17107i | ||||
\(980\) | 1.09168 | − | 0.904209i | 0.0348724 | − | 0.0288839i | ||||
\(981\) | 9.72438 | + | 2.60564i | 0.310476 | + | 0.0831917i | ||||
\(982\) | −25.2951 | − | 25.2951i | −0.807198 | − | 0.807198i | ||||
\(983\) | 18.4889 | + | 4.95409i | 0.589705 | + | 0.158011i | 0.541318 | − | 0.840818i | \(-0.317925\pi\) |
0.0483867 | + | 0.998829i | \(0.484592\pi\) | |||||||
\(984\) | −5.51730 | + | 9.55625i | −0.175885 | + | 0.304642i | ||||
\(985\) | −1.48861 | − | 2.57835i | −0.0474312 | − | 0.0821532i | ||||
\(986\) | −2.54207 | − | 9.48713i | −0.0809559 | − | 0.302132i | ||||
\(987\) | −11.8159 | + | 10.7581i | −0.376105 | + | 0.342433i | ||||
\(988\) | −13.8684 | − | 4.21475i | −0.441212 | − | 0.134089i | ||||
\(989\) | −7.54887 | + | 13.0750i | −0.240040 | + | 0.415762i | ||||
\(990\) | 0.400276 | + | 0.400276i | 0.0127216 | + | 0.0127216i | ||||
\(991\) | 17.6073 | 0.559315 | 0.279658 | − | 0.960100i | \(-0.409779\pi\) | ||||
0.279658 | + | 0.960100i | \(0.409779\pi\) | |||||||
\(992\) | 5.87213 | 0.186440 | ||||||||
\(993\) | −17.1243 | − | 17.1243i | −0.543423 | − | 0.543423i | ||||
\(994\) | 2.89583 | + | 0.135702i | 0.0918502 | + | 0.00430420i | ||||
\(995\) | −0.550494 | + | 2.05447i | −0.0174518 | + | 0.0651311i | ||||
\(996\) | 6.87507 | − | 1.84217i | 0.217845 | − | 0.0583713i | ||||
\(997\) | 28.7542 | + | 16.6013i | 0.910655 | + | 0.525767i | 0.880642 | − | 0.473783i | \(-0.157112\pi\) |
0.0300132 | + | 0.999550i | \(0.490445\pi\) | |||||||
\(998\) | − | 37.6825i | − | 1.19282i | ||||||
\(999\) | −1.59625 | − | 0.427713i | −0.0505030 | − | 0.0135322i |
(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 | 546.2.by.b.19.3 | ✓ | 40 | |
7.3 | odd | 6 | 546.2.cg.b.409.8 | yes | 40 | ||
13.11 | odd | 12 | 546.2.cg.b.271.8 | yes | 40 | ||
91.24 | even | 12 | inner | 546.2.by.b.115.3 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.b.19.3 | ✓ | 40 | 1.1 | even | 1 | trivial | |
546.2.by.b.115.3 | yes | 40 | 91.24 | even | 12 | inner | |
546.2.cg.b.271.8 | yes | 40 | 13.11 | odd | 12 | ||
546.2.cg.b.409.8 | yes | 40 | 7.3 | odd | 6 |