Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(10,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.m (of order \(16\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 10.15 | ||
Character | \(\chi\) | \(=\) | 187.10 |
Dual form | 187.2.m.a.131.15 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.25162 | + | 0.932652i | 1.59214 | + | 0.659484i | 0.990276 | − | 0.139117i | \(-0.0444264\pi\) |
0.601860 | + | 0.798601i | \(0.294426\pi\) | |||||||
\(3\) | −2.66909 | − | 1.78343i | −1.54100 | − | 1.02966i | −0.979323 | − | 0.202303i | \(-0.935157\pi\) |
−0.561674 | − | 0.827358i | \(-0.689843\pi\) | |||||||
\(4\) | 2.78574 | + | 2.78574i | 1.39287 | + | 1.39287i | ||||
\(5\) | 2.54233 | − | 0.505701i | 1.13697 | − | 0.226156i | 0.409506 | − | 0.912307i | \(-0.365701\pi\) |
0.727459 | + | 0.686151i | \(0.240701\pi\) | |||||||
\(6\) | −4.34645 | − | 6.50493i | −1.77443 | − | 2.65563i | ||||
\(7\) | 0.607350 | − | 3.05336i | 0.229557 | − | 1.15406i | −0.678302 | − | 0.734783i | \(-0.737284\pi\) |
0.907859 | − | 0.419276i | \(-0.137716\pi\) | |||||||
\(8\) | 1.80901 | + | 4.36732i | 0.639580 | + | 1.54408i | ||||
\(9\) | 2.79536 | + | 6.74860i | 0.931787 | + | 2.24953i | ||||
\(10\) | 6.19601 | + | 1.23246i | 1.95935 | + | 0.389739i | ||||
\(11\) | −1.60711 | + | 2.90124i | −0.484562 | + | 0.874757i | ||||
\(12\) | −2.46722 | − | 12.4036i | −0.712225 | − | 3.58060i | ||||
\(13\) | 0.635496 | + | 0.635496i | 0.176255 | + | 0.176255i | 0.789721 | − | 0.613466i | \(-0.210225\pi\) |
−0.613466 | + | 0.789721i | \(0.710225\pi\) | |||||||
\(14\) | 4.21524 | − | 6.30855i | 1.12657 | − | 1.68603i | ||||
\(15\) | −7.68758 | − | 3.18430i | −1.98493 | − | 0.822183i | ||||
\(16\) | 3.64146i | 0.910365i | ||||||||
\(17\) | −4.11200 | − | 0.302469i | −0.997306 | − | 0.0733596i | ||||
\(18\) | 17.8024i | 4.19606i | ||||||||
\(19\) | 0.134678 | + | 0.0557855i | 0.0308973 | + | 0.0127981i | 0.398079 | − | 0.917351i | \(-0.369677\pi\) |
−0.367181 | + | 0.930149i | \(0.619677\pi\) | |||||||
\(20\) | 8.49104 | + | 5.67353i | 1.89865 | + | 1.26864i | ||||
\(21\) | −7.06650 | + | 7.06650i | −1.54204 | + | 1.54204i | ||||
\(22\) | −6.32445 | + | 5.03362i | −1.34838 | + | 1.07317i | ||||
\(23\) | −2.79819 | + | 1.86969i | −0.583462 | + | 0.389857i | −0.811982 | − | 0.583682i | \(-0.801611\pi\) |
0.228520 | + | 0.973539i | \(0.426611\pi\) | |||||||
\(24\) | 2.96041 | − | 14.8830i | 0.604291 | − | 3.03798i | ||||
\(25\) | 1.58832 | − | 0.657904i | 0.317664 | − | 0.131581i | ||||
\(26\) | 0.838199 | + | 2.02359i | 0.164384 | + | 0.396859i | ||||
\(27\) | 2.69580 | − | 13.5527i | 0.518807 | − | 2.60822i | ||||
\(28\) | 10.1978 | − | 6.81394i | 1.92720 | − | 1.28771i | ||||
\(29\) | −4.51218 | + | 0.897529i | −0.837892 | + | 0.166667i | −0.595342 | − | 0.803472i | \(-0.702984\pi\) |
−0.242549 | + | 0.970139i | \(0.577984\pi\) | |||||||
\(30\) | −14.3397 | − | 14.3397i | −2.61805 | − | 2.61805i | ||||
\(31\) | −1.47824 | + | 2.21234i | −0.265499 | + | 0.397348i | −0.940135 | − | 0.340804i | \(-0.889301\pi\) |
0.674635 | + | 0.738151i | \(0.264301\pi\) | |||||||
\(32\) | 0.221796 | − | 0.535464i | 0.0392084 | − | 0.0946575i | ||||
\(33\) | 9.46366 | − | 4.87749i | 1.64741 | − | 0.849063i | ||||
\(34\) | −8.97656 | − | 4.51611i | −1.53947 | − | 0.774506i | ||||
\(35\) | − | 8.06978i | − | 1.36404i | ||||||
\(36\) | −11.0127 | + | 26.5870i | −1.83545 | + | 4.43117i | ||||
\(37\) | 6.78648 | + | 4.53458i | 1.11569 | + | 0.745480i | 0.969820 | − | 0.243823i | \(-0.0784018\pi\) |
0.145870 | + | 0.989304i | \(0.453402\pi\) | |||||||
\(38\) | 0.251216 | + | 0.251216i | 0.0407526 | + | 0.0407526i | ||||
\(39\) | −0.562833 | − | 2.82955i | −0.0901254 | − | 0.453091i | ||||
\(40\) | 6.80765 | + | 10.1884i | 1.07638 | + | 1.61092i | ||||
\(41\) | −0.970630 | + | 4.87969i | −0.151587 | + | 0.762079i | 0.827948 | + | 0.560805i | \(0.189508\pi\) |
−0.979535 | + | 0.201274i | \(0.935492\pi\) | |||||||
\(42\) | −22.5017 | + | 9.32050i | −3.47208 | + | 1.43818i | ||||
\(43\) | −5.85136 | + | 2.42371i | −0.892324 | + | 0.369613i | −0.781264 | − | 0.624201i | \(-0.785425\pi\) |
−0.111060 | + | 0.993814i | \(0.535425\pi\) | |||||||
\(44\) | −12.5591 | + | 3.60511i | −1.89336 | + | 0.543491i | ||||
\(45\) | 10.5195 | + | 15.7436i | 1.56816 | + | 2.34691i | ||||
\(46\) | −8.04423 | + | 1.60010i | −1.18606 | + | 0.235921i | ||||
\(47\) | 6.83807 | − | 6.83807i | 0.997435 | − | 0.997435i | −0.00256132 | − | 0.999997i | \(-0.500815\pi\) |
0.999997 | + | 0.00256132i | \(0.000815296\pi\) | |||||||
\(48\) | 6.49427 | − | 9.71937i | 0.937368 | − | 1.40287i | ||||
\(49\) | −2.48695 | − | 1.03013i | −0.355278 | − | 0.147161i | ||||
\(50\) | 4.18989 | 0.592540 | ||||||||
\(51\) | 10.4358 | + | 8.14076i | 1.46131 | + | 1.13993i | ||||
\(52\) | 3.54066i | 0.491001i | ||||||||
\(53\) | 1.46144 | − | 3.52823i | 0.200744 | − | 0.484639i | −0.791163 | − | 0.611605i | \(-0.790524\pi\) |
0.991907 | + | 0.126966i | \(0.0405240\pi\) | |||||||
\(54\) | 18.7099 | − | 28.0013i | 2.54609 | − | 3.81049i | ||||
\(55\) | −2.61865 | + | 8.18863i | −0.353099 | + | 1.10416i | ||||
\(56\) | 14.4337 | − | 2.87104i | 1.92878 | − | 0.383659i | ||||
\(57\) | −0.259978 | − | 0.389085i | −0.0344350 | − | 0.0515356i | ||||
\(58\) | −10.9968 | − | 2.18740i | −1.44395 | − | 0.287220i | ||||
\(59\) | −2.72536 | + | 1.12888i | −0.354812 | + | 0.146968i | −0.552968 | − | 0.833203i | \(-0.686505\pi\) |
0.198156 | + | 0.980170i | \(0.436505\pi\) | |||||||
\(60\) | −12.5450 | − | 30.2863i | −1.61955 | − | 3.90994i | ||||
\(61\) | 3.48744 | + | 0.693694i | 0.446520 | + | 0.0888184i | 0.413229 | − | 0.910627i | \(-0.364401\pi\) |
0.0332917 | + | 0.999446i | \(0.489401\pi\) | |||||||
\(62\) | −5.39177 | + | 3.60267i | −0.684755 | + | 0.457539i | ||||
\(63\) | 22.3036 | − | 4.43647i | 2.80999 | − | 0.558942i | ||||
\(64\) | 6.14860 | − | 6.14860i | 0.768575 | − | 0.768575i | ||||
\(65\) | 1.93701 | + | 1.29427i | 0.240257 | + | 0.160534i | ||||
\(66\) | 25.8576 | − | 2.15596i | 3.18285 | − | 0.265381i | ||||
\(67\) | 1.66326i | 0.203199i | 0.994825 | + | 0.101600i | \(0.0323961\pi\) | ||||
−0.994825 | + | 0.101600i | \(0.967604\pi\) | |||||||
\(68\) | −10.6124 | − | 12.2976i | −1.28694 | − | 1.49130i | ||||
\(69\) | 10.8031 | 1.30053 | ||||||||
\(70\) | 7.52630 | − | 18.1701i | 0.899564 | − | 2.17174i | ||||
\(71\) | −0.679474 | − | 0.454010i | −0.0806387 | − | 0.0538811i | 0.514597 | − | 0.857432i | \(-0.327941\pi\) |
−0.595236 | + | 0.803551i | \(0.702941\pi\) | |||||||
\(72\) | −24.4165 | + | 24.4165i | −2.87751 | + | 2.87751i | ||||
\(73\) | −2.83470 | − | 14.2510i | −0.331776 | − | 1.66795i | −0.682050 | − | 0.731305i | \(-0.738911\pi\) |
0.350274 | − | 0.936647i | \(-0.386089\pi\) | |||||||
\(74\) | 11.0514 | + | 16.5396i | 1.28470 | + | 1.92269i | ||||
\(75\) | −5.41269 | − | 1.07665i | −0.625003 | − | 0.124321i | ||||
\(76\) | 0.219775 | + | 0.530583i | 0.0252099 | + | 0.0608620i | ||||
\(77\) | 7.88244 | + | 6.66915i | 0.898287 | + | 0.760020i | ||||
\(78\) | 1.37170 | − | 6.89601i | 0.155315 | − | 0.780819i | ||||
\(79\) | 8.45997 | − | 5.65277i | 0.951821 | − | 0.635986i | 0.0203464 | − | 0.999793i | \(-0.493523\pi\) |
0.931475 | + | 0.363807i | \(0.118523\pi\) | |||||||
\(80\) | 1.84149 | + | 9.25780i | 0.205885 | + | 1.03505i | ||||
\(81\) | −15.8701 | + | 15.8701i | −1.76334 | + | 1.76334i | ||||
\(82\) | −6.73654 | + | 10.0819i | −0.743926 | + | 1.11336i | ||||
\(83\) | −3.57555 | + | 8.63215i | −0.392468 | + | 0.947502i | 0.596933 | + | 0.802291i | \(0.296386\pi\) |
−0.989401 | + | 0.145210i | \(0.953614\pi\) | |||||||
\(84\) | −39.3709 | −4.29572 | ||||||||
\(85\) | −10.6070 | + | 1.31046i | −1.15049 | + | 0.142140i | ||||
\(86\) | −15.4355 | −1.66445 | ||||||||
\(87\) | 13.6441 | + | 5.65156i | 1.46280 | + | 0.605911i | ||||
\(88\) | −15.5779 | − | 1.77042i | −1.66061 | − | 0.188727i | ||||
\(89\) | −3.83604 | − | 3.83604i | −0.406620 | − | 0.406620i | 0.473938 | − | 0.880558i | \(-0.342832\pi\) |
−0.880558 | + | 0.473938i | \(0.842832\pi\) | |||||||
\(90\) | 9.00268 | + | 45.2595i | 0.948966 | + | 4.77078i | ||||
\(91\) | 2.32636 | − | 1.55443i | 0.243869 | − | 0.162948i | ||||
\(92\) | −13.0035 | − | 2.58656i | −1.35571 | − | 0.269667i | ||||
\(93\) | 7.89108 | − | 3.26859i | 0.818267 | − | 0.338937i | ||||
\(94\) | 21.7743 | − | 9.01921i | 2.24585 | − | 0.930260i | ||||
\(95\) | 0.370607 | + | 0.0737184i | 0.0380235 | + | 0.00756335i | ||||
\(96\) | −1.54695 | + | 1.03364i | −0.157885 | + | 0.105496i | ||||
\(97\) | −1.57061 | − | 7.89597i | −0.159471 | − | 0.801714i | −0.974863 | − | 0.222805i | \(-0.928479\pi\) |
0.815392 | − | 0.578909i | \(-0.196521\pi\) | |||||||
\(98\) | −4.63891 | − | 4.63891i | −0.468601 | − | 0.468601i | ||||
\(99\) | −24.0717 | − | 2.73573i | −2.41930 | − | 0.274952i | ||||
\(100\) | 6.25740 | + | 2.59190i | 0.625740 | + | 0.259190i | ||||
\(101\) | 3.28428 | 0.326798 | 0.163399 | − | 0.986560i | \(-0.447754\pi\) | ||||
0.163399 | + | 0.986560i | \(0.447754\pi\) | |||||||
\(102\) | 15.9051 | + | 28.0629i | 1.57484 | + | 2.77864i | ||||
\(103\) | 10.4739 | 1.03203 | 0.516013 | − | 0.856581i | \(-0.327416\pi\) | ||||
0.516013 | + | 0.856581i | \(0.327416\pi\) | |||||||
\(104\) | −1.62580 | + | 3.92503i | −0.159423 | + | 0.384881i | ||||
\(105\) | −14.3919 | + | 21.5389i | −1.40450 | + | 2.10198i | ||||
\(106\) | 6.58122 | − | 6.58122i | 0.639224 | − | 0.639224i | ||||
\(107\) | −1.69172 | − | 8.50486i | −0.163545 | − | 0.822196i | −0.972243 | − | 0.233972i | \(-0.924828\pi\) |
0.808698 | − | 0.588224i | \(-0.200172\pi\) | |||||||
\(108\) | 45.2641 | − | 30.2445i | 4.35554 | − | 2.91028i | ||||
\(109\) | 1.62682 | − | 8.17857i | 0.155821 | − | 0.783365i | −0.821270 | − | 0.570540i | \(-0.806734\pi\) |
0.977090 | − | 0.212824i | \(-0.0682662\pi\) | |||||||
\(110\) | −13.5333 | + | 15.9954i | −1.29035 | + | 1.52510i | ||||
\(111\) | −10.0266 | − | 24.2064i | −0.951683 | − | 2.29757i | ||||
\(112\) | 11.1187 | + | 2.21164i | 1.05062 | + | 0.208980i | ||||
\(113\) | 1.95257 | + | 2.92223i | 0.183683 | + | 0.274900i | 0.911871 | − | 0.410476i | \(-0.134638\pi\) |
−0.728189 | + | 0.685377i | \(0.759638\pi\) | |||||||
\(114\) | −0.222492 | − | 1.11854i | −0.0208382 | − | 0.104761i | ||||
\(115\) | −6.16842 | + | 6.16842i | −0.575208 | + | 0.575208i | ||||
\(116\) | −15.0701 | − | 10.0695i | −1.39922 | − | 0.934930i | ||||
\(117\) | −2.51226 | + | 6.06514i | −0.232259 | + | 0.560723i | ||||
\(118\) | −7.18933 | −0.661832 | ||||||||
\(119\) | −3.42097 | + | 12.3717i | −0.313600 | + | 1.13411i | ||||
\(120\) | − | 39.3346i | − | 3.59074i | ||||||
\(121\) | −5.83439 | − | 9.32523i | −0.530399 | − | 0.847748i | ||||
\(122\) | 7.20541 | + | 4.81450i | 0.652347 | + | 0.435884i | ||||
\(123\) | 11.2933 | − | 11.2933i | 1.01828 | − | 1.01828i | ||||
\(124\) | −10.2810 | + | 2.04502i | −0.923260 | + | 0.183648i | ||||
\(125\) | −7.07109 | + | 4.72475i | −0.632458 | + | 0.422595i | ||||
\(126\) | 54.3570 | + | 10.8123i | 4.84250 | + | 0.963234i | ||||
\(127\) | 0.387799 | + | 0.936230i | 0.0344116 | + | 0.0830769i | 0.940151 | − | 0.340758i | \(-0.110684\pi\) |
−0.905739 | + | 0.423835i | \(0.860684\pi\) | |||||||
\(128\) | 18.5079 | − | 7.66622i | 1.63588 | − | 0.677605i | ||||
\(129\) | 19.9403 | + | 3.96637i | 1.75564 | + | 0.349219i | ||||
\(130\) | 3.15431 | + | 4.72076i | 0.276652 | + | 0.414038i | ||||
\(131\) | −17.9044 | + | 3.56141i | −1.56432 | + | 0.311162i | −0.899864 | − | 0.436170i | \(-0.856335\pi\) |
−0.664451 | + | 0.747332i | \(0.731335\pi\) | |||||||
\(132\) | 39.9508 | + | 12.7759i | 3.47727 | + | 1.11200i | ||||
\(133\) | 0.252130 | − | 0.377339i | 0.0218624 | − | 0.0327194i | ||||
\(134\) | −1.55124 | + | 3.74503i | −0.134007 | + | 0.323521i | ||||
\(135\) | − | 35.8187i | − | 3.08278i | ||||||
\(136\) | −6.11764 | − | 18.5056i | −0.524583 | − | 1.58684i | ||||
\(137\) | −5.55931 | −0.474964 | −0.237482 | − | 0.971392i | \(-0.576322\pi\) | ||||
−0.237482 | + | 0.971392i | \(0.576322\pi\) | |||||||
\(138\) | 24.3244 | + | 10.0755i | 2.07063 | + | 0.857683i | ||||
\(139\) | 2.53534 | − | 3.79440i | 0.215045 | − | 0.321837i | −0.708227 | − | 0.705985i | \(-0.750505\pi\) |
0.923272 | + | 0.384148i | \(0.125505\pi\) | |||||||
\(140\) | 22.4803 | − | 22.4803i | 1.89994 | − | 1.89994i | ||||
\(141\) | −30.4466 | + | 6.05620i | −2.56407 | + | 0.510024i | ||||
\(142\) | −1.10648 | − | 1.65597i | −0.0928541 | − | 0.138966i | ||||
\(143\) | −2.86504 | + | 0.822414i | −0.239587 | + | 0.0687737i | ||||
\(144\) | −24.5747 | + | 10.1792i | −2.04789 | + | 0.848266i | ||||
\(145\) | −11.0176 | + | 4.56363i | −0.914961 | + | 0.378989i | ||||
\(146\) | 6.90855 | − | 34.7316i | 0.571756 | − | 2.87441i | ||||
\(147\) | 4.80072 | + | 7.18479i | 0.395957 | + | 0.592591i | ||||
\(148\) | 6.27321 | + | 31.5376i | 0.515655 | + | 2.59237i | ||||
\(149\) | 11.6445 | + | 11.6445i | 0.953953 | + | 0.953953i | 0.998986 | − | 0.0450327i | \(-0.0143392\pi\) |
−0.0450327 | + | 0.998986i | \(0.514339\pi\) | |||||||
\(150\) | −11.1832 | − | 7.47236i | −0.913102 | − | 0.610116i | ||||
\(151\) | 3.21996 | − | 7.77367i | 0.262037 | − | 0.632612i | −0.737028 | − | 0.675862i | \(-0.763771\pi\) |
0.999064 | + | 0.0432504i | \(0.0137713\pi\) | |||||||
\(152\) | 0.689100i | 0.0558934i | ||||||||
\(153\) | −9.45327 | − | 28.5957i | −0.764251 | − | 2.31183i | ||||
\(154\) | 11.5283 | + | 22.3680i | 0.928974 | + | 1.80246i | ||||
\(155\) | −2.63939 | + | 6.37204i | −0.212001 | + | 0.511815i | ||||
\(156\) | 6.31450 | − | 9.45032i | 0.505565 | − | 0.756631i | ||||
\(157\) | −10.3629 | − | 10.3629i | −0.827052 | − | 0.827052i | 0.160056 | − | 0.987108i | \(-0.448832\pi\) |
−0.987108 | + | 0.160056i | \(0.948832\pi\) | |||||||
\(158\) | 24.3207 | − | 4.83769i | 1.93485 | − | 0.384866i | ||||
\(159\) | −10.1930 | + | 6.81077i | −0.808361 | + | 0.540129i | ||||
\(160\) | 0.293095 | − | 1.47349i | 0.0231712 | − | 0.116490i | ||||
\(161\) | 4.00935 | + | 9.67942i | 0.315981 | + | 0.762845i | ||||
\(162\) | −50.5347 | + | 20.9322i | −3.97038 | + | 1.64459i | ||||
\(163\) | −3.64214 | + | 18.3103i | −0.285274 | + | 1.43417i | 0.526487 | + | 0.850183i | \(0.323509\pi\) |
−0.811762 | + | 0.583989i | \(0.801491\pi\) | |||||||
\(164\) | −16.2975 | + | 10.8896i | −1.27262 | + | 0.850337i | ||||
\(165\) | 21.5932 | − | 17.1860i | 1.68103 | − | 1.33793i | ||||
\(166\) | −16.1016 | + | 16.1016i | −1.24973 | + | 1.24973i | ||||
\(167\) | 5.20717 | + | 3.47932i | 0.402943 | + | 0.269238i | 0.740486 | − | 0.672072i | \(-0.234596\pi\) |
−0.337542 | + | 0.941310i | \(0.609596\pi\) | |||||||
\(168\) | −43.6451 | − | 18.0784i | −3.36729 | − | 1.39478i | ||||
\(169\) | − | 12.1923i | − | 0.937868i | ||||||
\(170\) | −25.1052 | − | 6.94199i | −1.92548 | − | 0.532426i | ||||
\(171\) | 1.06483i | 0.0814295i | ||||||||
\(172\) | −23.0522 | − | 9.54854i | −1.75772 | − | 0.728069i | ||||
\(173\) | −0.0557685 | + | 0.0834635i | −0.00424000 | + | 0.00634561i | −0.833584 | − | 0.552393i | \(-0.813715\pi\) |
0.829344 | + | 0.558739i | \(0.188715\pi\) | |||||||
\(174\) | 25.4504 | + | 25.4504i | 1.92939 | + | 1.92939i | ||||
\(175\) | −1.04415 | − | 5.24928i | −0.0789301 | − | 0.396809i | ||||
\(176\) | −10.5647 | − | 5.85223i | −0.796348 | − | 0.441128i | ||||
\(177\) | 9.28750 | + | 1.84740i | 0.698091 | + | 0.138859i | ||||
\(178\) | −5.05962 | − | 12.2150i | −0.379235 | − | 0.915553i | ||||
\(179\) | 10.0868 | + | 24.3516i | 0.753920 | + | 1.82012i | 0.536149 | + | 0.844123i | \(0.319878\pi\) |
0.217771 | + | 0.976000i | \(0.430122\pi\) | |||||||
\(180\) | −14.5529 | + | 73.1621i | −1.08471 | + | 5.45318i | ||||
\(181\) | 0.532252 | + | 0.796571i | 0.0395620 | + | 0.0592087i | 0.850723 | − | 0.525614i | \(-0.176164\pi\) |
−0.811161 | + | 0.584822i | \(0.801164\pi\) | |||||||
\(182\) | 6.68783 | − | 1.33029i | 0.495735 | − | 0.0986078i | ||||
\(183\) | −8.07111 | − | 8.07111i | −0.596634 | − | 0.596634i | ||||
\(184\) | −13.2275 | − | 8.83832i | −0.975142 | − | 0.651569i | ||||
\(185\) | 19.5466 | + | 8.09648i | 1.43710 | + | 0.595265i | ||||
\(186\) | 20.8162 | 1.52632 | ||||||||
\(187\) | 7.48597 | − | 11.4438i | 0.547428 | − | 0.836853i | ||||
\(188\) | 38.0982 | 2.77860 | ||||||||
\(189\) | −39.7439 | − | 16.4625i | −2.89094 | − | 1.19747i | ||||
\(190\) | 0.765714 | + | 0.511634i | 0.0555507 | + | 0.0371178i | ||||
\(191\) | −9.47851 | − | 9.47851i | −0.685841 | − | 0.685841i | 0.275469 | − | 0.961310i | \(-0.411167\pi\) |
−0.961310 | + | 0.275469i | \(0.911167\pi\) | |||||||
\(192\) | −27.3767 | + | 5.44557i | −1.97575 | + | 0.393000i | ||||
\(193\) | −8.65546 | − | 12.9538i | −0.623033 | − | 0.932435i | −0.999981 | − | 0.00620069i | \(-0.998026\pi\) |
0.376947 | − | 0.926235i | \(-0.376974\pi\) | |||||||
\(194\) | 3.82778 | − | 19.2436i | 0.274819 | − | 1.38161i | ||||
\(195\) | −2.86182 | − | 6.90904i | −0.204939 | − | 0.494766i | ||||
\(196\) | −4.05833 | − | 9.79767i | −0.289881 | − | 0.699833i | ||||
\(197\) | 24.5219 | + | 4.87772i | 1.74712 | + | 0.347523i | 0.962255 | − | 0.272149i | \(-0.0877344\pi\) |
0.784861 | + | 0.619672i | \(0.212734\pi\) | |||||||
\(198\) | −51.6490 | − | 28.6104i | −3.67053 | − | 2.03325i | ||||
\(199\) | −0.0454625 | − | 0.228555i | −0.00322275 | − | 0.0162019i | 0.979140 | − | 0.203185i | \(-0.0651292\pi\) |
−0.982363 | + | 0.186983i | \(0.940129\pi\) | |||||||
\(200\) | 5.74656 | + | 5.74656i | 0.406343 | + | 0.406343i | ||||
\(201\) | 2.96630 | − | 4.43938i | 0.209227 | − | 0.313130i | ||||
\(202\) | 7.39496 | + | 3.06309i | 0.520307 | + | 0.215518i | ||||
\(203\) | 14.3224i | 1.00524i | ||||||||
\(204\) | 6.39351 | + | 51.7496i | 0.447635 | + | 3.62320i | ||||
\(205\) | 12.8966i | 0.900740i | ||||||||
\(206\) | 23.5833 | + | 9.76852i | 1.64313 | + | 0.680605i | ||||
\(207\) | −20.4397 | − | 13.6574i | −1.42066 | − | 0.949254i | ||||
\(208\) | −2.31413 | + | 2.31413i | −0.160456 | + | 0.160456i | ||||
\(209\) | −0.378290 | + | 0.301080i | −0.0261669 | + | 0.0208262i | ||||
\(210\) | −52.4933 | + | 35.0749i | −3.62238 | + | 2.42040i | ||||
\(211\) | −5.26789 | + | 26.4835i | −0.362657 | + | 1.82320i | 0.180509 | + | 0.983573i | \(0.442225\pi\) |
−0.543166 | + | 0.839625i | \(0.682775\pi\) | |||||||
\(212\) | 13.8999 | − | 5.75754i | 0.954651 | − | 0.395429i | ||||
\(213\) | 1.00388 | + | 2.42358i | 0.0687848 | + | 0.166061i | ||||
\(214\) | 4.12296 | − | 20.7275i | 0.281840 | − | 1.41690i | ||||
\(215\) | −13.6504 | + | 9.12092i | −0.930951 | + | 0.622041i | ||||
\(216\) | 64.0657 | − | 12.7435i | 4.35912 | − | 0.867083i | ||||
\(217\) | 5.85725 | + | 5.85725i | 0.397616 | + | 0.397616i | ||||
\(218\) | 11.2907 | − | 16.8978i | 0.764705 | − | 1.14446i | ||||
\(219\) | −17.8495 | + | 43.0926i | −1.20616 | + | 2.91193i | ||||
\(220\) | −30.1063 | + | 15.5165i | −2.02977 | + | 1.04613i | ||||
\(221\) | −2.42094 | − | 2.80537i | −0.162850 | − | 0.188710i | ||||
\(222\) | − | 63.8549i | − | 4.28566i | ||||||
\(223\) | 3.11802 | − | 7.52758i | 0.208798 | − | 0.504084i | −0.784436 | − | 0.620210i | \(-0.787048\pi\) |
0.993235 | + | 0.116126i | \(0.0370476\pi\) | |||||||
\(224\) | −1.50025 | − | 1.00244i | −0.100240 | − | 0.0669781i | ||||
\(225\) | 8.87985 | + | 8.87985i | 0.591990 | + | 0.591990i | ||||
\(226\) | 1.67103 | + | 8.40083i | 0.111155 | + | 0.558815i | ||||
\(227\) | 5.57902 | + | 8.34960i | 0.370293 | + | 0.554182i | 0.969087 | − | 0.246721i | \(-0.0793531\pi\) |
−0.598794 | + | 0.800903i | \(0.704353\pi\) | |||||||
\(228\) | 0.359658 | − | 1.80812i | 0.0238189 | − | 0.119746i | ||||
\(229\) | 6.61566 | − | 2.74030i | 0.437175 | − | 0.181084i | −0.153231 | − | 0.988190i | \(-0.548968\pi\) |
0.590406 | + | 0.807107i | \(0.298968\pi\) | |||||||
\(230\) | −19.6419 | + | 8.13595i | −1.29515 | + | 0.536469i | ||||
\(231\) | −9.14496 | − | 31.8583i | −0.601695 | − | 2.09612i | ||||
\(232\) | −12.0824 | − | 18.0825i | −0.793246 | − | 1.18718i | ||||
\(233\) | 13.2524 | − | 2.63607i | 0.868194 | − | 0.172695i | 0.259156 | − | 0.965835i | \(-0.416556\pi\) |
0.609038 | + | 0.793141i | \(0.291556\pi\) | |||||||
\(234\) | −11.3133 | + | 11.3133i | −0.739576 | + | 0.739576i | ||||
\(235\) | 13.9266 | − | 20.8427i | 0.908473 | − | 1.35963i | ||||
\(236\) | −10.7369 | − | 4.44738i | −0.698915 | − | 0.289500i | ||||
\(237\) | −32.6617 | −2.12160 | ||||||||
\(238\) | −19.2412 | + | 24.6658i | −1.24722 | + | 1.59884i | ||||
\(239\) | − | 23.1841i | − | 1.49966i | −0.661632 | − | 0.749828i | \(-0.730136\pi\) | ||
0.661632 | − | 0.749828i | \(-0.269864\pi\) | |||||||
\(240\) | 11.5955 | − | 27.9940i | 0.748486 | − | 1.80701i | ||||
\(241\) | 5.99275 | − | 8.96878i | 0.386027 | − | 0.577730i | −0.586665 | − | 0.809830i | \(-0.699560\pi\) |
0.972692 | + | 0.232100i | \(0.0745595\pi\) | |||||||
\(242\) | −4.43963 | − | 26.4383i | −0.285390 | − | 1.69952i | ||||
\(243\) | 30.0037 | − | 5.96810i | 1.92474 | − | 0.382854i | ||||
\(244\) | 7.78265 | + | 11.6476i | 0.498233 | + | 0.745658i | ||||
\(245\) | −6.84358 | − | 1.36127i | −0.437220 | − | 0.0869686i | ||||
\(246\) | 35.9608 | − | 14.8954i | 2.29278 | − | 0.949699i | ||||
\(247\) | 0.0501360 | + | 0.121039i | 0.00319007 | + | 0.00770152i | ||||
\(248\) | −12.3361 | − | 2.45381i | −0.783345 | − | 0.155817i | ||||
\(249\) | 24.9383 | − | 16.6632i | 1.58040 | − | 1.05599i | ||||
\(250\) | −20.3280 | + | 4.04348i | −1.28565 | + | 0.255732i | ||||
\(251\) | 13.1048 | − | 13.1048i | 0.827167 | − | 0.827167i | −0.159957 | − | 0.987124i | \(-0.551136\pi\) |
0.987124 | + | 0.159957i | \(0.0511356\pi\) | |||||||
\(252\) | 74.4910 | + | 49.7733i | 4.69249 | + | 3.13542i | ||||
\(253\) | −0.927418 | − | 11.1230i | −0.0583063 | − | 0.699298i | ||||
\(254\) | 2.46972i | 0.154964i | ||||||||
\(255\) | 30.6482 | + | 15.4191i | 1.91926 | + | 0.965581i | ||||
\(256\) | 31.4318 | 1.96449 | ||||||||
\(257\) | −3.10743 | + | 7.50199i | −0.193836 | + | 0.467961i | −0.990678 | − | 0.136227i | \(-0.956502\pi\) |
0.796842 | + | 0.604188i | \(0.206502\pi\) | |||||||
\(258\) | 41.1987 | + | 27.5281i | 2.56492 | + | 1.71382i | ||||
\(259\) | 17.9674 | − | 17.9674i | 1.11644 | − | 1.11644i | ||||
\(260\) | 1.79051 | + | 9.00152i | 0.111043 | + | 0.558251i | ||||
\(261\) | −18.6702 | − | 27.9420i | −1.15566 | − | 1.72957i | ||||
\(262\) | −43.6355 | − | 8.67964i | −2.69581 | − | 0.536230i | ||||
\(263\) | 9.40359 | + | 22.7023i | 0.579850 | + | 1.39988i | 0.892948 | + | 0.450161i | \(0.148633\pi\) |
−0.313097 | + | 0.949721i | \(0.601367\pi\) | |||||||
\(264\) | 38.4214 | + | 32.5075i | 2.36467 | + | 2.00070i | ||||
\(265\) | 1.93124 | − | 9.70898i | 0.118635 | − | 0.596418i | ||||
\(266\) | 0.919627 | − | 0.614475i | 0.0563859 | − | 0.0376759i | ||||
\(267\) | 3.39743 | + | 17.0800i | 0.207919 | + | 1.04528i | ||||
\(268\) | −4.63341 | + | 4.63341i | −0.283031 | + | 0.283031i | ||||
\(269\) | −13.5845 | + | 20.3306i | −0.828261 | + | 1.23958i | 0.140128 | + | 0.990133i | \(0.455249\pi\) |
−0.968389 | + | 0.249446i | \(0.919751\pi\) | |||||||
\(270\) | 33.4064 | − | 80.6502i | 2.03305 | − | 4.90821i | ||||
\(271\) | −7.15635 | −0.434717 | −0.217359 | − | 0.976092i | \(-0.569744\pi\) | ||||
−0.217359 | + | 0.976092i | \(0.569744\pi\) | |||||||
\(272\) | 1.10143 | − | 14.9737i | 0.0667840 | − | 0.907912i | ||||
\(273\) | −8.98147 | −0.543583 | ||||||||
\(274\) | −12.5175 | − | 5.18491i | −0.756208 | − | 0.313232i | ||||
\(275\) | −0.643870 | + | 5.66542i | −0.0388268 | + | 0.341638i | ||||
\(276\) | 30.0945 | + | 30.0945i | 1.81148 | + | 1.81148i | ||||
\(277\) | 2.16488 | + | 10.8836i | 0.130075 | + | 0.653931i | 0.989718 | + | 0.143035i | \(0.0456862\pi\) |
−0.859643 | + | 0.510896i | \(0.829314\pi\) | |||||||
\(278\) | 9.24748 | − | 6.17897i | 0.554627 | − | 0.370590i | ||||
\(279\) | −19.0624 | − | 3.79174i | −1.14123 | − | 0.227006i | ||||
\(280\) | 35.2434 | − | 14.5983i | 2.10619 | − | 0.872414i | ||||
\(281\) | −13.3984 | + | 5.54982i | −0.799284 | + | 0.331074i | −0.744670 | − | 0.667433i | \(-0.767393\pi\) |
−0.0546146 | + | 0.998508i | \(0.517393\pi\) | |||||||
\(282\) | −74.2025 | − | 14.7598i | −4.41870 | − | 0.878933i | ||||
\(283\) | −9.96772 | + | 6.66022i | −0.592519 | + | 0.395909i | −0.815367 | − | 0.578945i | \(-0.803465\pi\) |
0.222848 | + | 0.974853i | \(0.428465\pi\) | |||||||
\(284\) | −0.628085 | − | 3.15760i | −0.0372700 | − | 0.187369i | ||||
\(285\) | −0.857712 | − | 0.857712i | −0.0508065 | − | 0.0508065i | ||||
\(286\) | −7.21801 | − | 0.820320i | −0.426810 | − | 0.0485066i | ||||
\(287\) | 14.3099 | + | 5.92736i | 0.844687 | + | 0.349881i | ||||
\(288\) | 4.23363 | 0.249469 | ||||||||
\(289\) | 16.8170 | + | 2.48750i | 0.989237 | + | 0.146324i | ||||
\(290\) | −29.0637 | −1.70668 | ||||||||
\(291\) | −9.88980 | + | 23.8761i | −0.579750 | + | 1.39964i | ||||
\(292\) | 31.8029 | − | 47.5964i | 1.86112 | − | 2.78537i | ||||
\(293\) | −11.6944 | + | 11.6944i | −0.683197 | + | 0.683197i | −0.960719 | − | 0.277522i | \(-0.910487\pi\) |
0.277522 | + | 0.960719i | \(0.410487\pi\) | |||||||
\(294\) | 4.10850 | + | 20.6548i | 0.239612 | + | 1.20461i | ||||
\(295\) | −6.35790 | + | 4.24821i | −0.370171 | + | 0.247340i | ||||
\(296\) | −7.52721 | + | 37.8418i | −0.437510 | + | 2.19951i | ||||
\(297\) | 34.9872 | + | 29.6018i | 2.03016 | + | 1.71767i | ||||
\(298\) | 15.3587 | + | 37.0792i | 0.889706 | + | 2.14794i | ||||
\(299\) | −2.96642 | − | 0.590057i | −0.171552 | − | 0.0341239i | ||||
\(300\) | −12.0791 | − | 18.0776i | −0.697386 | − | 1.04371i | ||||
\(301\) | 3.84663 | + | 19.3383i | 0.221716 | + | 1.11464i | ||||
\(302\) | 14.5003 | − | 14.5003i | 0.834396 | − | 0.834396i | ||||
\(303\) | −8.76603 | − | 5.85727i | −0.503595 | − | 0.336492i | ||||
\(304\) | −0.203141 | + | 0.490425i | −0.0116509 | + | 0.0281278i | ||||
\(305\) | 9.21702 | 0.527765 | ||||||||
\(306\) | 5.38467 | − | 73.2033i | 0.307821 | − | 4.18475i | ||||
\(307\) | 1.08264i | 0.0617895i | 0.999523 | + | 0.0308948i | \(0.00983567\pi\) | ||||
−0.999523 | + | 0.0308948i | \(0.990164\pi\) | |||||||
\(308\) | 3.37991 | + | 40.5370i | 0.192588 | + | 2.30981i | ||||
\(309\) | −27.9558 | − | 18.6795i | −1.59035 | − | 1.06264i | ||||
\(310\) | −11.8858 | + | 11.8858i | −0.675068 | + | 0.675068i | ||||
\(311\) | 1.09414 | − | 0.217638i | 0.0620431 | − | 0.0123411i | −0.163971 | − | 0.986465i | \(-0.552430\pi\) |
0.226014 | + | 0.974124i | \(0.427430\pi\) | |||||||
\(312\) | 11.3394 | − | 7.57675i | 0.641968 | − | 0.428949i | ||||
\(313\) | −32.5071 | − | 6.46606i | −1.83741 | − | 0.365483i | −0.850399 | − | 0.526138i | \(-0.823639\pi\) |
−0.987011 | + | 0.160655i | \(0.948639\pi\) | |||||||
\(314\) | −13.6684 | − | 32.9984i | −0.771351 | − | 1.86221i | ||||
\(315\) | 54.4597 | − | 22.5579i | 3.06846 | − | 1.27100i | ||||
\(316\) | 39.3145 | + | 7.82013i | 2.21161 | + | 0.439917i | ||||
\(317\) | 5.50001 | + | 8.23135i | 0.308911 | + | 0.462319i | 0.953147 | − | 0.302509i | \(-0.0978242\pi\) |
−0.644235 | + | 0.764827i | \(0.722824\pi\) | |||||||
\(318\) | −29.3029 | + | 5.82872i | −1.64323 | + | 0.326858i | ||||
\(319\) | 4.64763 | − | 14.5334i | 0.260218 | − | 0.813712i | ||||
\(320\) | 12.5224 | − | 18.7411i | 0.700025 | − | 1.04766i | ||||
\(321\) | −10.6524 | + | 25.7173i | −0.594561 | + | 1.43540i | ||||
\(322\) | 25.5337i | 1.42294i | ||||||||
\(323\) | −0.536923 | − | 0.270126i | −0.0298752 | − | 0.0150302i | ||||
\(324\) | −88.4200 | −4.91222 | ||||||||
\(325\) | 1.42747 | + | 0.591276i | 0.0791816 | + | 0.0327981i | ||||
\(326\) | −25.2778 | + | 37.8310i | −1.40001 | + | 2.09526i | ||||
\(327\) | −18.9280 | + | 18.9280i | −1.04672 | + | 1.04672i | ||||
\(328\) | −23.0670 | + | 4.58832i | −1.27366 | + | 0.253348i | ||||
\(329\) | −16.7260 | − | 25.0322i | −0.922132 | − | 1.38007i | ||||
\(330\) | 64.6483 | − | 18.5574i | 3.55877 | − | 1.02155i | ||||
\(331\) | −10.5013 | + | 4.34977i | −0.577202 | + | 0.239085i | −0.652134 | − | 0.758104i | \(-0.726126\pi\) |
0.0749320 | + | 0.997189i | \(0.476126\pi\) | |||||||
\(332\) | −34.0075 | + | 14.0864i | −1.86641 | + | 0.773091i | ||||
\(333\) | −11.6314 | + | 58.4750i | −0.637396 | + | 3.20441i | ||||
\(334\) | 8.47959 | + | 12.6906i | 0.463982 | + | 0.694399i | ||||
\(335\) | 0.841112 | + | 4.22856i | 0.0459549 | + | 0.231031i | ||||
\(336\) | −25.7324 | − | 25.7324i | −1.40382 | − | 1.40382i | ||||
\(337\) | 14.1844 | + | 9.47770i | 0.772672 | + | 0.516283i | 0.878293 | − | 0.478123i | \(-0.158683\pi\) |
−0.105620 | + | 0.994407i | \(0.533683\pi\) | |||||||
\(338\) | 11.3712 | − | 27.4524i | 0.618510 | − | 1.49321i | ||||
\(339\) | − | 11.2820i | − | 0.612752i | ||||||
\(340\) | −33.1990 | − | 25.8978i | −1.80047 | − | 1.40451i | ||||
\(341\) | −4.04283 | − | 7.84419i | −0.218932 | − | 0.424787i | ||||
\(342\) | −0.993115 | + | 2.39759i | −0.0537015 | + | 0.129647i | ||||
\(343\) | 7.45131 | − | 11.1517i | 0.402333 | − | 0.602134i | ||||
\(344\) | −21.1703 | − | 21.1703i | −1.14142 | − | 1.14142i | ||||
\(345\) | 27.4649 | − | 5.46312i | 1.47866 | − | 0.294124i | ||||
\(346\) | −0.203412 | + | 0.135915i | −0.0109355 | + | 0.00730686i | ||||
\(347\) | 4.41350 | − | 22.1882i | 0.236929 | − | 1.19112i | −0.660795 | − | 0.750566i | \(-0.729781\pi\) |
0.897724 | − | 0.440558i | \(-0.145219\pi\) | |||||||
\(348\) | 22.2651 | + | 53.7527i | 1.19354 | + | 2.88145i | ||||
\(349\) | 23.5408 | − | 9.75092i | 1.26011 | − | 0.521955i | 0.350167 | − | 0.936687i | \(-0.386125\pi\) |
0.909943 | + | 0.414732i | \(0.136125\pi\) | |||||||
\(350\) | 2.54473 | − | 12.7932i | 0.136022 | − | 0.683827i | ||||
\(351\) | 10.3258 | − | 6.89951i | 0.551153 | − | 0.368269i | ||||
\(352\) | 1.19706 | + | 1.50403i | 0.0638034 | + | 0.0801653i | ||||
\(353\) | 0.326674 | − | 0.326674i | 0.0173871 | − | 0.0173871i | −0.698360 | − | 0.715747i | \(-0.746086\pi\) |
0.715747 | + | 0.698360i | \(0.246086\pi\) | |||||||
\(354\) | 19.1889 | + | 12.8216i | 1.01988 | + | 0.681463i | ||||
\(355\) | −1.95704 | − | 0.810633i | −0.103869 | − | 0.0430240i | ||||
\(356\) | − | 21.3725i | − | 1.13274i | ||||||
\(357\) | 31.1948 | − | 26.9200i | 1.65101 | − | 1.42476i | ||||
\(358\) | 64.2380i | 3.39508i | ||||||||
\(359\) | 3.37656 | + | 1.39862i | 0.178208 | + | 0.0738161i | 0.470003 | − | 0.882665i | \(-0.344253\pi\) |
−0.291796 | + | 0.956481i | \(0.594253\pi\) | |||||||
\(360\) | −49.7274 | + | 74.4223i | −2.62086 | + | 3.92240i | ||||
\(361\) | −13.4200 | − | 13.4200i | −0.706316 | − | 0.706316i | ||||
\(362\) | 0.455506 | + | 2.28998i | 0.0239409 | + | 0.120359i | ||||
\(363\) | −1.05838 | + | 35.2950i | −0.0555506 | + | 1.85251i | ||||
\(364\) | 10.8109 | + | 2.15042i | 0.566644 | + | 0.112713i | ||||
\(365\) | −14.4135 | − | 34.7972i | −0.754437 | − | 1.82137i | ||||
\(366\) | −10.6455 | − | 25.7006i | −0.556452 | − | 1.34339i | ||||
\(367\) | −3.40539 | + | 17.1200i | −0.177760 | + | 0.893659i | 0.784208 | + | 0.620497i | \(0.213069\pi\) |
−0.961968 | + | 0.273161i | \(0.911931\pi\) | |||||||
\(368\) | −6.80840 | − | 10.1895i | −0.354912 | − | 0.531164i | ||||
\(369\) | −35.6443 | + | 7.09009i | −1.85557 | + | 0.369095i | ||||
\(370\) | 36.4604 | + | 36.4604i | 1.89549 | + | 1.89549i | ||||
\(371\) | −9.88533 | − | 6.60516i | −0.513221 | − | 0.342923i | ||||
\(372\) | 31.0880 | + | 12.8771i | 1.61184 | + | 0.667645i | ||||
\(373\) | 12.9757 | 0.671856 | 0.335928 | − | 0.941888i | \(-0.390950\pi\) | ||||
0.335928 | + | 0.941888i | \(0.390950\pi\) | |||||||
\(374\) | 27.5286 | − | 18.7853i | 1.42347 | − | 0.971363i | ||||
\(375\) | 27.2996 | 1.40974 | ||||||||
\(376\) | 42.2342 | + | 17.4940i | 2.17806 | + | 0.902183i | ||||
\(377\) | −3.43785 | − | 2.29710i | −0.177058 | − | 0.118307i | ||||
\(378\) | −74.1344 | − | 74.1344i | −3.81306 | − | 3.81306i | ||||
\(379\) | 8.45912 | − | 1.68262i | 0.434516 | − | 0.0864305i | 0.0270141 | − | 0.999635i | \(-0.491400\pi\) |
0.407502 | + | 0.913205i | \(0.366400\pi\) | |||||||
\(380\) | 0.827057 | + | 1.23778i | 0.0424271 | + | 0.0634967i | ||||
\(381\) | 0.634628 | − | 3.19049i | 0.0325130 | − | 0.163454i | ||||
\(382\) | −12.5019 | − | 30.1822i | −0.639651 | − | 1.54425i | ||||
\(383\) | −4.57225 | − | 11.0384i | −0.233631 | − | 0.564036i | 0.762968 | − | 0.646436i | \(-0.223741\pi\) |
−0.996599 | + | 0.0824005i | \(0.973741\pi\) | |||||||
\(384\) | −63.0713 | − | 12.5457i | −3.21860 | − | 0.640218i | ||||
\(385\) | 23.4124 | + | 12.9690i | 1.19320 | + | 0.660963i | ||||
\(386\) | −7.40741 | − | 37.2396i | −0.377027 | − | 1.89545i | ||||
\(387\) | −32.7133 | − | 32.7133i | −1.66291 | − | 1.66291i | ||||
\(388\) | 17.6208 | − | 26.3714i | 0.894563 | − | 1.33881i | ||||
\(389\) | −25.2308 | − | 10.4509i | −1.27925 | − | 0.529883i | −0.363486 | − | 0.931600i | \(-0.618414\pi\) |
−0.915764 | + | 0.401717i | \(0.868414\pi\) | |||||||
\(390\) | − | 18.2256i | − | 0.922890i | ||||||
\(391\) | 12.0717 | − | 6.84179i | 0.610490 | − | 0.346004i | ||||
\(392\) | − | 12.7248i | − | 0.642700i | ||||||
\(393\) | 54.1399 | + | 22.4255i | 2.73100 | + | 1.13122i | ||||
\(394\) | 50.6649 | + | 33.8532i | 2.55246 | + | 1.70550i | ||||
\(395\) | 18.6494 | − | 18.6494i | 0.938355 | − | 0.938355i | ||||
\(396\) | −59.4367 | − | 74.6788i | −2.98680 | − | 3.75275i | ||||
\(397\) | 15.6345 | − | 10.4466i | 0.784672 | − | 0.524301i | −0.0974959 | − | 0.995236i | \(-0.531083\pi\) |
0.882168 | + | 0.470935i | \(0.156083\pi\) | |||||||
\(398\) | 0.110798 | − | 0.557021i | 0.00555382 | − | 0.0279209i | ||||
\(399\) | −1.34591 | + | 0.557495i | −0.0673799 | + | 0.0279097i | ||||
\(400\) | 2.39573 | + | 5.78380i | 0.119786 | + | 0.289190i | ||||
\(401\) | −0.907426 | + | 4.56194i | −0.0453147 | + | 0.227812i | −0.996806 | − | 0.0798640i | \(-0.974551\pi\) |
0.951491 | + | 0.307676i | \(0.0995514\pi\) | |||||||
\(402\) | 10.8194 | − | 7.22928i | 0.539622 | − | 0.360564i | ||||
\(403\) | −2.34535 | + | 0.466518i | −0.116830 | + | 0.0232389i | ||||
\(404\) | 9.14917 | + | 9.14917i | 0.455188 | + | 0.455188i | ||||
\(405\) | −32.3215 | + | 48.3726i | −1.60607 | + | 2.40365i | ||||
\(406\) | −13.3578 | + | 32.2487i | −0.662938 | + | 1.60047i | ||||
\(407\) | −24.0625 | + | 12.4016i | −1.19274 | + | 0.614726i | ||||
\(408\) | −16.6748 | + | 60.3034i | −0.825528 | + | 2.98546i | ||||
\(409\) | 9.56857i | 0.473135i | 0.971615 | + | 0.236568i | \(0.0760225\pi\) | ||||
−0.971615 | + | 0.236568i | \(0.923978\pi\) | |||||||
\(410\) | −12.0281 | + | 29.0383i | −0.594024 | + | 1.43410i | ||||
\(411\) | 14.8383 | + | 9.91463i | 0.731919 | + | 0.489052i | ||||
\(412\) | 29.1776 | + | 29.1776i | 1.43748 | + | 1.43748i | ||||
\(413\) | 1.79163 | + | 9.00712i | 0.0881602 | + | 0.443211i | ||||
\(414\) | −33.2849 | − | 49.8144i | −1.63586 | − | 2.44824i | ||||
\(415\) | −4.72496 | + | 23.7540i | −0.231939 | + | 1.16604i | ||||
\(416\) | 0.481236 | − | 0.199334i | 0.0235945 | − | 0.00977317i | ||||
\(417\) | −13.5341 | + | 5.60599i | −0.662766 | + | 0.274527i | ||||
\(418\) | −1.13257 | + | 0.325105i | −0.0553957 | + | 0.0159014i | ||||
\(419\) | −18.2423 | − | 27.3015i | −0.891194 | − | 1.33377i | −0.942194 | − | 0.335068i | \(-0.891241\pi\) |
0.0509999 | − | 0.998699i | \(-0.483759\pi\) | |||||||
\(420\) | −100.094 | + | 19.9099i | −4.88409 | + | 0.971505i | ||||
\(421\) | 6.53792 | − | 6.53792i | 0.318639 | − | 0.318639i | −0.529605 | − | 0.848244i | \(-0.677660\pi\) |
0.848244 | + | 0.529605i | \(0.177660\pi\) | |||||||
\(422\) | −36.5612 | + | 54.7177i | −1.77977 | + | 2.66361i | ||||
\(423\) | 65.2623 | + | 27.0325i | 3.17316 | + | 1.31437i | ||||
\(424\) | 18.0527 | 0.876715 | ||||||||
\(425\) | −6.73016 | + | 2.22488i | −0.326461 | + | 0.107923i | ||||
\(426\) | 6.39326i | 0.309755i | ||||||||
\(427\) | 4.23619 | − | 10.2271i | 0.205004 | − | 0.494922i | ||||
\(428\) | 18.9797 | − | 28.4051i | 0.917416 | − | 1.37301i | ||||
\(429\) | 9.11375 | + | 2.91449i | 0.440016 | + | 0.140713i | ||||
\(430\) | −39.2422 | + | 7.80576i | −1.89243 | + | 0.376427i | ||||
\(431\) | 17.2001 | + | 25.7417i | 0.828497 | + | 1.23993i | 0.968309 | + | 0.249756i | \(0.0803503\pi\) |
−0.139811 | + | 0.990178i | \(0.544650\pi\) | |||||||
\(432\) | 49.3516 | + | 9.81664i | 2.37443 | + | 0.472303i | ||||
\(433\) | −21.9031 | + | 9.07254i | −1.05259 | + | 0.435999i | −0.840817 | − | 0.541320i | \(-0.817925\pi\) |
−0.211777 | + | 0.977318i | \(0.567925\pi\) | |||||||
\(434\) | 7.72553 | + | 18.6511i | 0.370837 | + | 0.895280i | ||||
\(435\) | 37.5458 | + | 7.46832i | 1.80018 | + | 0.358079i | ||||
\(436\) | 27.3153 | − | 18.2515i | 1.30816 | − | 0.874088i | ||||
\(437\) | −0.481156 | + | 0.0957079i | −0.0230168 | + | 0.00457833i | ||||
\(438\) | −80.3808 | + | 80.3808i | −3.84074 | + | 3.84074i | ||||
\(439\) | 18.2313 | + | 12.1818i | 0.870133 | + | 0.581404i | 0.908512 | − | 0.417859i | \(-0.137219\pi\) |
−0.0383787 | + | 0.999263i | \(0.512219\pi\) | |||||||
\(440\) | −40.4996 | + | 3.37679i | −1.93074 | + | 0.160982i | ||||
\(441\) | − | 19.6630i | − | 0.936332i | ||||||
\(442\) | −2.83460 | − | 8.57453i | −0.134828 | − | 0.407849i | ||||
\(443\) | −20.2147 | −0.960428 | −0.480214 | − | 0.877151i | \(-0.659441\pi\) | ||||
−0.480214 | + | 0.877151i | \(0.659441\pi\) | |||||||
\(444\) | 39.5012 | − | 95.3642i | 1.87464 | − | 4.52579i | ||||
\(445\) | −11.6924 | − | 7.81260i | −0.554272 | − | 0.370353i | ||||
\(446\) | 14.0412 | − | 14.0412i | 0.664871 | − | 0.664871i | ||||
\(447\) | −10.3130 | − | 51.8472i | −0.487790 | − | 2.45229i | ||||
\(448\) | −15.0395 | − | 22.5082i | −0.710550 | − | 1.06341i | ||||
\(449\) | 24.6921 | + | 4.91156i | 1.16529 | + | 0.231791i | 0.739580 | − | 0.673069i | \(-0.235024\pi\) |
0.425711 | + | 0.904859i | \(0.360024\pi\) | |||||||
\(450\) | 11.7122 | + | 28.2759i | 0.552121 | + | 1.33294i | ||||
\(451\) | −12.5972 | − | 10.6582i | −0.593180 | − | 0.501876i | ||||
\(452\) | −2.70122 | + | 13.5800i | −0.127055 | + | 0.638747i | ||||
\(453\) | −22.4581 | + | 15.0060i | −1.05517 | + | 0.705045i | ||||
\(454\) | 4.77458 | + | 24.0034i | 0.224082 | + | 1.12654i | ||||
\(455\) | 5.12831 | − | 5.12831i | 0.240419 | − | 0.240419i | ||||
\(456\) | 1.22896 | − | 1.83927i | 0.0575512 | − | 0.0861315i | ||||
\(457\) | −4.03474 | + | 9.74073i | −0.188737 | + | 0.455652i | −0.989717 | − | 0.143039i | \(-0.954312\pi\) |
0.800980 | + | 0.598691i | \(0.204312\pi\) | |||||||
\(458\) | 17.4517 | 0.815464 | ||||||||
\(459\) | −15.1844 | + | 54.9132i | −0.708746 | + | 2.56313i | ||||
\(460\) | −34.3673 | −1.60238 | ||||||||
\(461\) | −2.21700 | − | 0.918311i | −0.103256 | − | 0.0427700i | 0.330457 | − | 0.943821i | \(-0.392797\pi\) |
−0.433713 | + | 0.901051i | \(0.642797\pi\) | |||||||
\(462\) | 9.12169 | − | 80.2618i | 0.424379 | − | 3.73412i | ||||
\(463\) | −8.39076 | − | 8.39076i | −0.389952 | − | 0.389952i | 0.484719 | − | 0.874670i | \(-0.338922\pi\) |
−0.874670 | + | 0.484719i | \(0.838922\pi\) | |||||||
\(464\) | −3.26832 | − | 16.4309i | −0.151728 | − | 0.762787i | ||||
\(465\) | 18.4088 | − | 12.3004i | 0.853688 | − | 0.570416i | ||||
\(466\) | 32.2979 | + | 6.42446i | 1.49617 | + | 0.297607i | ||||
\(467\) | −1.72352 | + | 0.713903i | −0.0797548 | + | 0.0330355i | −0.422204 | − | 0.906501i | \(-0.638743\pi\) |
0.342449 | + | 0.939536i | \(0.388743\pi\) | |||||||
\(468\) | −23.8945 | + | 9.89741i | −1.10452 | + | 0.457508i | ||||
\(469\) | 5.07852 | + | 1.01018i | 0.234504 | + | 0.0466458i | ||||
\(470\) | 50.7964 | − | 33.9411i | 2.34307 | − | 1.56559i | ||||
\(471\) | 9.17803 | + | 46.1411i | 0.422901 | + | 2.12607i | ||||
\(472\) | −9.86038 | − | 9.86038i | −0.453861 | − | 0.453861i | ||||
\(473\) | 2.37201 | − | 20.8714i | 0.109065 | − | 0.959666i | ||||
\(474\) | −73.5417 | − | 30.4620i | −3.37788 | − | 1.39916i | ||||
\(475\) | 0.250614 | 0.0114989 | ||||||||
\(476\) | −43.9943 | + | 24.9344i | −2.01647 | + | 1.14287i | ||||
\(477\) | 27.8958 | 1.27726 | ||||||||
\(478\) | 21.6227 | − | 52.2019i | 0.989000 | − | 2.38766i | ||||
\(479\) | −14.0449 | + | 21.0196i | −0.641726 | + | 0.960411i | 0.357919 | + | 0.933753i | \(0.383486\pi\) |
−0.999645 | + | 0.0266579i | \(0.991514\pi\) | |||||||
\(480\) | −3.41015 | + | 3.41015i | −0.155652 | + | 0.155652i | ||||
\(481\) | 1.43107 | + | 7.19448i | 0.0652513 | + | 0.328040i | ||||
\(482\) | 21.8581 | − | 14.6051i | 0.995611 | − | 0.665246i | ||||
\(483\) | 6.56124 | − | 32.9856i | 0.298547 | − | 1.50090i | ||||
\(484\) | 9.72459 | − | 42.2308i | 0.442027 | − | 1.91958i | ||||
\(485\) | −7.98600 | − | 19.2799i | −0.362626 | − | 0.875456i | ||||
\(486\) | 73.1231 | + | 14.5451i | 3.31693 | + | 0.659778i | ||||
\(487\) | −4.60128 | − | 6.88630i | −0.208504 | − | 0.312048i | 0.712448 | − | 0.701725i | \(-0.247587\pi\) |
−0.920952 | + | 0.389677i | \(0.872587\pi\) | |||||||
\(488\) | 3.27920 | + | 16.4857i | 0.148443 | + | 0.746271i | ||||
\(489\) | 42.3762 | − | 42.3762i | 1.91632 | − | 1.91632i | ||||
\(490\) | −14.1396 | − | 9.44775i | −0.638760 | − | 0.426806i | ||||
\(491\) | −0.807684 | + | 1.94992i | −0.0364503 | + | 0.0879988i | −0.941056 | − | 0.338250i | \(-0.890165\pi\) |
0.904606 | + | 0.426249i | \(0.140165\pi\) | |||||||
\(492\) | 62.9202 | 2.83666 | ||||||||
\(493\) | 18.8256 | − | 2.32584i | 0.847861 | − | 0.104751i | ||||
\(494\) | 0.319293i | 0.0143657i | ||||||||
\(495\) | −62.5818 | + | 5.21797i | −2.81284 | + | 0.234530i | ||||
\(496\) | −8.05614 | − | 5.38294i | −0.361731 | − | 0.241701i | ||||
\(497\) | −1.79893 | + | 1.79893i | −0.0806932 | + | 0.0806932i | ||||
\(498\) | 71.6925 | − | 14.2605i | 3.21262 | − | 0.639029i | ||||
\(499\) | −24.4023 | + | 16.3051i | −1.09240 | + | 0.729916i | −0.965083 | − | 0.261946i | \(-0.915636\pi\) |
−0.127314 | + | 0.991862i | \(0.540636\pi\) | |||||||
\(500\) | −32.8602 | − | 6.53630i | −1.46955 | − | 0.292312i | ||||
\(501\) | −7.69328 | − | 18.5732i | −0.343710 | − | 0.829790i | ||||
\(502\) | 41.7292 | − | 17.2848i | 1.86247 | − | 0.771459i | ||||
\(503\) | −26.5636 | − | 5.28383i | −1.18441 | − | 0.235594i | −0.436694 | − | 0.899610i | \(-0.643851\pi\) |
−0.747718 | + | 0.664016i | \(0.768851\pi\) | |||||||
\(504\) | 59.7229 | + | 89.3816i | 2.66027 | + | 3.98137i | ||||
\(505\) | 8.34973 | − | 1.66087i | 0.371558 | − | 0.0739075i | ||||
\(506\) | 8.28570 | − | 25.9098i | 0.368344 | − | 1.15183i | ||||
\(507\) | −21.7440 | + | 32.5423i | −0.965687 | + | 1.44525i | ||||
\(508\) | −1.52779 | + | 3.68840i | −0.0677846 | + | 0.163646i | ||||
\(509\) | 24.3374i | 1.07874i | 0.842070 | + | 0.539369i | \(0.181337\pi\) | ||||
−0.842070 | + | 0.539369i | \(0.818663\pi\) | |||||||
\(510\) | 54.6274 | + | 63.3020i | 2.41894 | + | 2.80306i | ||||
\(511\) | −45.2350 | −2.00108 | ||||||||
\(512\) | 33.7567 | + | 13.9825i | 1.49185 | + | 0.617945i | ||||
\(513\) | 1.11911 | − | 1.67487i | 0.0494099 | − | 0.0739471i | ||||
\(514\) | −13.9935 | + | 13.9935i | −0.617226 | + | 0.617226i | ||||
\(515\) | 26.6282 | − | 5.29667i | 1.17338 | − | 0.233399i | ||||
\(516\) | 44.4992 | + | 66.5978i | 1.95897 | + | 2.93180i | ||||
\(517\) | 8.84935 | + | 30.8284i | 0.389194 | + | 1.35583i | ||||
\(518\) | 57.2133 | − | 23.6985i | 2.51381 | − | 1.04125i | ||||
\(519\) | 0.297702 | − | 0.123312i | 0.0130677 | − | 0.00541280i | ||||
\(520\) | −2.14843 | + | 10.8009i | −0.0942150 | + | 0.473651i | ||||
\(521\) | 3.22007 | + | 4.81918i | 0.141074 | + | 0.211132i | 0.895278 | − | 0.445508i | \(-0.146977\pi\) |
−0.754204 | + | 0.656640i | \(0.771977\pi\) | |||||||
\(522\) | −15.9782 | − | 80.3276i | −0.699345 | − | 3.51584i | ||||
\(523\) | −7.73739 | − | 7.73739i | −0.338333 | − | 0.338333i | 0.517407 | − | 0.855740i | \(-0.326897\pi\) |
−0.855740 | + | 0.517407i | \(0.826897\pi\) | |||||||
\(524\) | −59.7983 | − | 39.9559i | −2.61230 | − | 1.74548i | ||||
\(525\) | −6.57479 | + | 15.8729i | −0.286947 | + | 0.692752i | ||||
\(526\) | 59.8872i | 2.61120i | ||||||||
\(527\) | 6.74767 | − | 8.65000i | 0.293933 | − | 0.376800i | ||||
\(528\) | 17.7612 | + | 34.4615i | 0.772957 | + | 1.49975i | ||||
\(529\) | −4.46760 | + | 10.7857i | −0.194244 | + | 0.468946i | ||||
\(530\) | 13.4035 | − | 20.0598i | 0.582211 | − | 0.871340i | ||||
\(531\) | −15.2367 | − | 15.2367i | −0.661218 | − | 0.661218i | ||||
\(532\) | 1.75354 | − | 0.348801i | 0.0760255 | − | 0.0151224i | ||||
\(533\) | −3.71785 | + | 2.48419i | −0.161038 | + | 0.107602i | ||||
\(534\) | −8.28000 | + | 41.6263i | −0.358310 | + | 1.80135i | ||||
\(535\) | −8.60184 | − | 20.7667i | −0.371890 | − | 0.897821i | ||||
\(536\) | −7.26399 | + | 3.00884i | −0.313757 | + | 0.129962i | ||||
\(537\) | 16.5068 | − | 82.9855i | 0.712323 | − | 3.58109i | ||||
\(538\) | −49.5485 | + | 33.1072i | −2.13619 | + | 1.42735i | ||||
\(539\) | 6.98545 | − | 5.55970i | 0.300885 | − | 0.239473i | ||||
\(540\) | 99.7817 | − | 99.7817i | 4.29392 | − | 4.29392i | ||||
\(541\) | −3.19307 | − | 2.13354i | −0.137281 | − | 0.0917280i | 0.485034 | − | 0.874496i | \(-0.338807\pi\) |
−0.622314 | + | 0.782768i | \(0.713807\pi\) | |||||||
\(542\) | −16.1134 | − | 6.67438i | −0.692129 | − | 0.286689i | ||||
\(543\) | − | 3.07535i | − | 0.131976i | ||||||
\(544\) | −1.07399 | + | 2.13474i | −0.0460468 | + | 0.0915261i | ||||
\(545\) | − | 21.6153i | − | 0.925898i | ||||||
\(546\) | −20.2229 | − | 8.37658i | −0.865458 | − | 0.358485i | ||||
\(547\) | −0.678413 | + | 1.01532i | −0.0290068 | + | 0.0434118i | −0.845690 | − | 0.533675i | \(-0.820811\pi\) |
0.816683 | + | 0.577087i | \(0.195811\pi\) | |||||||
\(548\) | −15.4868 | − | 15.4868i | −0.661564 | − | 0.661564i | ||||
\(549\) | 5.06718 | + | 25.4744i | 0.216262 | + | 1.08722i | ||||
\(550\) | −6.73362 | + | 12.1559i | −0.287122 | + | 0.518328i | ||||
\(551\) | −0.657762 | − | 0.130837i | −0.0280216 | − | 0.00557384i | ||||
\(552\) | 19.5428 | + | 47.1804i | 0.831796 | + | 2.00813i | ||||
\(553\) | −12.1218 | − | 29.2645i | −0.515469 | − | 1.24445i | ||||
\(554\) | −5.27611 | + | 26.5248i | −0.224160 | + | 1.12693i | ||||
\(555\) | −37.7321 | − | 56.4701i | −1.60164 | − | 2.39702i | ||||
\(556\) | 17.6330 | − | 3.50743i | 0.747807 | − | 0.148748i | ||||
\(557\) | −8.70024 | − | 8.70024i | −0.368641 | − | 0.368641i | 0.498341 | − | 0.866981i | \(-0.333943\pi\) |
−0.866981 | + | 0.498341i | \(0.833943\pi\) | |||||||
\(558\) | −39.3849 | − | 26.3161i | −1.66729 | − | 1.11405i | ||||
\(559\) | −5.25877 | − | 2.17825i | −0.222422 | − | 0.0921304i | ||||
\(560\) | 29.3858 | 1.24178 | ||||||||
\(561\) | −40.3898 | + | 17.1938i | −1.70526 | + | 0.725922i | ||||
\(562\) | −35.3443 | −1.49091 | ||||||||
\(563\) | −9.65350 | − | 3.99861i | −0.406846 | − | 0.168521i | 0.169869 | − | 0.985467i | \(-0.445666\pi\) |
−0.576715 | + | 0.816945i | \(0.695666\pi\) | |||||||
\(564\) | −101.687 | − | 67.9454i | −4.28181 | − | 2.86102i | ||||
\(565\) | 6.44187 | + | 6.44187i | 0.271011 | + | 0.271011i | ||||
\(566\) | −28.6552 | + | 5.69987i | −1.20447 | + | 0.239583i | ||||
\(567\) | 38.8183 | + | 58.0957i | 1.63022 | + | 2.43979i | ||||
\(568\) | 0.753637 | − | 3.78879i | 0.0316219 | − | 0.158974i | ||||
\(569\) | 14.3870 | + | 34.7333i | 0.603134 | + | 1.45609i | 0.870338 | + | 0.492454i | \(0.163900\pi\) |
−0.267205 | + | 0.963640i | \(0.586100\pi\) | |||||||
\(570\) | −1.13130 | − | 2.73119i | −0.0473847 | − | 0.114397i | ||||
\(571\) | −15.4483 | − | 3.07286i | −0.646492 | − | 0.128595i | −0.139056 | − | 0.990285i | \(-0.544407\pi\) |
−0.507436 | + | 0.861689i | \(0.669407\pi\) | |||||||
\(572\) | −10.2723 | − | 5.69023i | −0.429506 | − | 0.237920i | ||||
\(573\) | 8.39473 | + | 42.2032i | 0.350695 | + | 1.76306i | ||||
\(574\) | 26.6923 | + | 26.6923i | 1.11412 | + | 1.11412i | ||||
\(575\) | −3.21434 | + | 4.81060i | −0.134047 | + | 0.200616i | ||||
\(576\) | 58.6820 | + | 24.3069i | 2.44508 | + | 1.01279i | ||||
\(577\) | − | 13.7024i | − | 0.570440i | −0.958462 | − | 0.285220i | \(-0.907933\pi\) | ||
0.958462 | − | 0.285220i | \(-0.0920667\pi\) | |||||||
\(578\) | 35.5456 | + | 21.2853i | 1.47850 | + | 0.885354i | ||||
\(579\) | 50.0112i | 2.07839i | ||||||||
\(580\) | −43.4053 | − | 17.9791i | −1.80231 | − | 0.746540i | ||||
\(581\) | 24.1854 | + | 16.1602i | 1.00338 | + | 0.670437i | ||||
\(582\) | −44.5361 | + | 44.5361i | −1.84608 | + | 1.84608i | ||||
\(583\) | 7.88754 | + | 9.91024i | 0.326668 | + | 0.410440i | ||||
\(584\) | 57.1107 | − | 38.1602i | 2.36326 | − | 1.57908i | ||||
\(585\) | −3.31986 | + | 16.6901i | −0.137259 | + | 0.690049i | ||||
\(586\) | −37.2383 | + | 15.4246i | −1.53830 | + | 0.637185i | ||||
\(587\) | −4.05031 | − | 9.77831i | −0.167174 | − | 0.403594i | 0.817985 | − | 0.575240i | \(-0.195091\pi\) |
−0.985159 | + | 0.171646i | \(0.945091\pi\) | |||||||
\(588\) | −6.64139 | + | 33.3885i | −0.273886 | + | 1.37692i | ||||
\(589\) | −0.322503 | + | 0.215489i | −0.0132885 | + | 0.00887909i | ||||
\(590\) | −18.2777 | + | 3.63565i | −0.752480 | + | 0.149678i | ||||
\(591\) | −56.7521 | − | 56.7521i | −2.33447 | − | 2.33447i | ||||
\(592\) | −16.5125 | + | 24.7127i | −0.678659 | + | 1.01568i | ||||
\(593\) | −3.53910 | + | 8.54415i | −0.145334 | + | 0.350866i | −0.979737 | − | 0.200288i | \(-0.935812\pi\) |
0.834404 | + | 0.551154i | \(0.185812\pi\) | |||||||
\(594\) | 51.1696 | + | 99.2830i | 2.09951 | + | 4.07363i | ||||
\(595\) | −2.44086 | + | 33.1829i | −0.100066 | + | 1.36037i | ||||
\(596\) | 64.8771i | 2.65747i | ||||||||
\(597\) | −0.286268 | + | 0.691113i | −0.0117162 | + | 0.0282854i | ||||
\(598\) | −6.12893 | − | 4.09522i | −0.250630 | − | 0.167466i | ||||
\(599\) | −2.69666 | − | 2.69666i | −0.110183 | − | 0.110183i | 0.649866 | − | 0.760049i | \(-0.274825\pi\) |
−0.760049 | + | 0.649866i | \(0.774825\pi\) | |||||||
\(600\) | −5.08950 | − | 25.5866i | −0.207778 | − | 1.04457i | ||||
\(601\) | −13.4069 | − | 20.0648i | −0.546877 | − | 0.818459i | 0.450352 | − | 0.892851i | \(-0.351298\pi\) |
−0.997229 | + | 0.0743919i | \(0.976298\pi\) | |||||||
\(602\) | −9.37476 | + | 47.1301i | −0.382087 | + | 1.92088i | ||||
\(603\) | −11.2247 | + | 4.64941i | −0.457104 | + | 0.189338i | ||||
\(604\) | 30.6254 | − | 12.6855i | 1.24613 | − | 0.516164i | ||||
\(605\) | −19.5487 | − | 20.7574i | −0.794769 | − | 0.843907i | ||||
\(606\) | −14.2750 | − | 21.3640i | −0.579881 | − | 0.867854i | ||||
\(607\) | 33.4577 | − | 6.65514i | 1.35800 | − | 0.270124i | 0.538224 | − | 0.842802i | \(-0.319095\pi\) |
0.819780 | + | 0.572678i | \(0.194095\pi\) | |||||||
\(608\) | 0.0597422 | − | 0.0597422i | 0.00242287 | − | 0.00242287i | ||||
\(609\) | 25.5430 | − | 38.2278i | 1.03505 | − | 1.54907i | ||||
\(610\) | 20.7532 | + | 8.59627i | 0.840274 | + | 0.348053i | ||||
\(611\) | 8.69113 | 0.351606 | ||||||||
\(612\) | 53.3259 | − | 105.995i | 2.15557 | − | 4.28458i | ||||
\(613\) | − | 10.3283i | − | 0.417155i | −0.978006 | − | 0.208577i | \(-0.933117\pi\) | ||
0.978006 | − | 0.208577i | \(-0.0668833\pi\) | |||||||
\(614\) | −1.00973 | + | 2.43769i | −0.0407492 | + | 0.0983773i | ||||
\(615\) | 23.0002 | − | 34.4222i | 0.927457 | − | 1.38804i | ||||
\(616\) | −14.8670 | + | 46.4897i | −0.599007 | + | 1.87312i | ||||
\(617\) | 24.2427 | − | 4.82217i | 0.975974 | − | 0.194133i | 0.318759 | − | 0.947836i | \(-0.396734\pi\) |
0.657216 | + | 0.753703i | \(0.271734\pi\) | |||||||
\(618\) | −45.5244 | − | 68.1321i | −1.83126 | − | 2.74067i | ||||
\(619\) | 31.4844 | + | 6.26263i | 1.26546 | + | 0.251716i | 0.781795 | − | 0.623535i | \(-0.214304\pi\) |
0.483668 | + | 0.875251i | \(0.339304\pi\) | |||||||
\(620\) | −25.1035 | + | 10.3982i | −1.00818 | + | 0.417603i | ||||
\(621\) | 17.7960 | + | 42.9633i | 0.714128 | + | 1.72406i | ||||
\(622\) | 2.66657 | + | 0.530414i | 0.106920 | + | 0.0212677i | ||||
\(623\) | −14.0426 | + | 9.38298i | −0.562606 | + | 0.375921i | ||||
\(624\) | 10.3037 | − | 2.04953i | 0.412478 | − | 0.0820470i | ||||
\(625\) | −21.6660 | + | 21.6660i | −0.866639 | + | 0.866639i | ||||
\(626\) | −67.1631 | − | 44.8769i | −2.68438 | − | 1.79364i | ||||
\(627\) | 1.54664 | − | 0.128957i | 0.0617670 | − | 0.00515003i | ||||
\(628\) | − | 57.7369i | − | 2.30395i | ||||||
\(629\) | −26.5344 | − | 20.6989i | −1.05800 | − | 0.825318i | ||||
\(630\) | 143.661 | 5.72360 | ||||||||
\(631\) | −3.85329 | + | 9.30267i | −0.153397 | + | 0.370333i | −0.981832 | − | 0.189752i | \(-0.939232\pi\) |
0.828435 | + | 0.560085i | \(0.189232\pi\) | |||||||
\(632\) | 39.9916 | + | 26.7215i | 1.59078 | + | 1.06293i | ||||
\(633\) | 61.2918 | − | 61.2918i | 2.43613 | − | 2.43613i | ||||
\(634\) | 4.70696 | + | 23.6635i | 0.186937 | + | 0.939796i | ||||
\(635\) | 1.45937 | + | 2.18410i | 0.0579132 | + | 0.0866732i | ||||
\(636\) | −47.3682 | − | 9.42213i | −1.87827 | − | 0.373612i | ||||
\(637\) | −0.925803 | − | 2.23509i | −0.0366817 | − | 0.0885574i | ||||
\(638\) | 24.0193 | − | 28.3890i | 0.950932 | − | 1.12393i | ||||
\(639\) | 1.16456 | − | 5.85462i | 0.0460691 | − | 0.231605i | ||||
\(640\) | 43.1764 | − | 28.8496i | 1.70670 | − | 1.14038i | ||||
\(641\) | −6.74839 | − | 33.9265i | −0.266545 | − | 1.34001i | −0.849534 | − | 0.527534i | \(-0.823117\pi\) |
0.582989 | − | 0.812480i | \(-0.301883\pi\) | |||||||
\(642\) | −47.9705 | + | 47.9705i | −1.89324 | + | 1.89324i | ||||
\(643\) | 25.5420 | − | 38.2263i | 1.00728 | − | 1.50750i | 0.152635 | − | 0.988283i | \(-0.451224\pi\) |
0.854643 | − | 0.519216i | \(-0.173776\pi\) | |||||||
\(644\) | −15.7954 | + | 38.1334i | −0.622424 | + | 1.50267i | ||||
\(645\) | 52.7006 | 2.07508 | ||||||||
\(646\) | −0.957013 | − | 1.10898i | −0.0376532 | − | 0.0436324i | ||||
\(647\) | 11.3386 | 0.445767 | 0.222883 | − | 0.974845i | \(-0.428453\pi\) | ||||
0.222883 | + | 0.974845i | \(0.428453\pi\) | |||||||
\(648\) | −98.0189 | − | 40.6008i | −3.85055 | − | 1.59495i | ||||
\(649\) | 1.10480 | − | 9.72116i | 0.0433673 | − | 0.381589i | ||||
\(650\) | 2.66266 | + | 2.66266i | 0.104438 | + | 0.104438i | ||||
\(651\) | −5.18753 | − | 26.0795i | −0.203315 | − | 1.02213i | ||||
\(652\) | −61.1538 | + | 40.8617i | −2.39497 | + | 1.60027i | ||||
\(653\) | −42.9864 | − | 8.55052i | −1.68219 | − | 0.334608i | −0.740746 | − | 0.671785i | \(-0.765528\pi\) |
−0.941441 | + | 0.337177i | \(0.890528\pi\) | |||||||
\(654\) | −60.2719 | + | 24.9654i | −2.35682 | + | 0.976225i | ||||
\(655\) | −43.7179 | + | 18.1086i | −1.70820 | + | 0.707560i | ||||
\(656\) | −17.7692 | − | 3.53451i | −0.693770 | − | 0.137999i | ||||
\(657\) | 88.2502 | − | 58.9669i | 3.44297 | − | 2.30052i | ||||
\(658\) | −14.3142 | − | 71.9625i | −0.558026 | − | 2.80539i | ||||
\(659\) | 25.2806 | + | 25.2806i | 0.984791 | + | 0.984791i | 0.999886 | − | 0.0150951i | \(-0.00480509\pi\) |
−0.0150951 | + | 0.999886i | \(0.504805\pi\) | |||||||
\(660\) | 108.029 | + | 12.2774i | 4.20502 | + | 0.477897i | ||||
\(661\) | 25.3479 | + | 10.4994i | 0.985918 | + | 0.408380i | 0.816614 | − | 0.577184i | \(-0.195848\pi\) |
0.169303 | + | 0.985564i | \(0.445848\pi\) | |||||||
\(662\) | −27.7017 | −1.07666 | ||||||||
\(663\) | 1.45851 | + | 11.8054i | 0.0566440 | + | 0.458482i | ||||
\(664\) | −44.1676 | −1.71404 | ||||||||
\(665\) | 0.450177 | − | 1.08682i | 0.0174571 | − | 0.0421452i | ||||
\(666\) | −80.7263 | + | 120.815i | −3.12808 | + | 4.68150i | ||||
\(667\) | 10.9478 | − | 10.9478i | 0.423902 | − | 0.423902i | ||||
\(668\) | 4.81335 | + | 24.1984i | 0.186234 | + | 0.936262i | ||||
\(669\) | −21.7471 | + | 14.5310i | −0.840793 | + | 0.561800i | ||||
\(670\) | −2.04991 | + | 10.3056i | −0.0791948 | + | 0.398139i | ||||
\(671\) | −7.61727 | + | 9.00305i | −0.294061 | + | 0.347559i | ||||
\(672\) | 2.21653 | + | 5.35118i | 0.0855045 | + | 0.206426i | ||||
\(673\) | −20.3152 | − | 4.04095i | −0.783094 | − | 0.155767i | −0.212677 | − | 0.977123i | \(-0.568218\pi\) |
−0.570417 | + | 0.821356i | \(0.693218\pi\) | |||||||
\(674\) | 23.0984 | + | 34.5693i | 0.889719 | + | 1.33156i | ||||
\(675\) | −4.63458 | − | 23.2996i | −0.178385 | − | 0.896802i | ||||
\(676\) | 33.9646 | − | 33.9646i | 1.30633 | − | 1.30633i | ||||
\(677\) | −15.8679 | − | 10.6026i | −0.609854 | − | 0.407491i | 0.211935 | − | 0.977284i | \(-0.432024\pi\) |
−0.821789 | + | 0.569793i | \(0.807024\pi\) | |||||||
\(678\) | 10.5221 | − | 25.4027i | 0.404100 | − | 0.975585i | ||||
\(679\) | −25.0631 | −0.961834 | ||||||||
\(680\) | −24.9114 | − | 43.9537i | −0.955308 | − | 1.68555i | ||||
\(681\) | − | 32.2356i | − | 1.23527i | ||||||
\(682\) | −1.78702 | − | 21.4327i | −0.0684287 | − | 0.820701i | ||||
\(683\) | 37.9949 | + | 25.3874i | 1.45383 | + | 0.971420i | 0.996627 | + | 0.0820595i | \(0.0261498\pi\) |
0.457206 | + | 0.889361i | \(0.348850\pi\) | |||||||
\(684\) | −2.96634 | + | 2.96634i | −0.113421 | + | 0.113421i | ||||
\(685\) | −14.1336 | + | 2.81135i | −0.540018 | + | 0.107416i | ||||
\(686\) | 27.1782 | − | 18.1599i | 1.03767 | − | 0.693347i | ||||
\(687\) | −22.5449 | − | 4.48445i | −0.860141 | − | 0.171093i | ||||
\(688\) | −8.82585 | − | 21.3075i | −0.336482 | − | 0.812340i | ||||
\(689\) | 3.17091 | − | 1.31343i | 0.120802 | − | 0.0500379i | ||||
\(690\) | 66.9358 | + | 13.3144i | 2.54820 | + | 0.506869i | ||||
\(691\) | 12.1511 | + | 18.1853i | 0.462248 | + | 0.691803i | 0.987228 | − | 0.159311i | \(-0.0509273\pi\) |
−0.524980 | + | 0.851114i | \(0.675927\pi\) | |||||||
\(692\) | −0.387864 | + | 0.0771510i | −0.0147444 | + | 0.00293284i | ||||
\(693\) | −22.9731 | + | 71.8381i | −0.872678 | + | 2.72890i | ||||
\(694\) | 30.6314 | − | 45.8431i | 1.16275 | − | 1.74018i | ||||
\(695\) | 4.52684 | − | 10.9288i | 0.171713 | − | 0.414551i | ||||
\(696\) | 69.8119i | 2.64621i | ||||||||
\(697\) | 5.46718 | − | 19.7717i | 0.207084 | − | 0.748905i | ||||
\(698\) | 62.0992 | 2.35049 | ||||||||
\(699\) | −40.0730 | − | 16.5988i | −1.51570 | − | 0.627824i | ||||
\(700\) | 11.7144 | − | 17.5319i | 0.442764 | − | 0.662643i | ||||
\(701\) | −4.67090 | + | 4.67090i | −0.176418 | + | 0.176418i | −0.789792 | − | 0.613375i | \(-0.789812\pi\) |
0.613375 | + | 0.789792i | \(0.289812\pi\) | |||||||
\(702\) | 29.6847 | − | 5.90466i | 1.12038 | − | 0.222857i | ||||
\(703\) | 0.661026 | + | 0.989296i | 0.0249311 | + | 0.0373120i | ||||
\(704\) | 7.95708 | + | 27.7201i | 0.299894 | + | 1.04474i | ||||
\(705\) | −74.3427 | + | 30.7938i | −2.79991 | + | 1.15976i | ||||
\(706\) | 1.04022 | − | 0.430873i | 0.0391492 | − | 0.0162161i | ||||
\(707\) | 1.99471 | − | 10.0281i | 0.0750188 | − | 0.377145i | ||||
\(708\) | 20.7262 | + | 31.0190i | 0.778939 | + | 1.16576i | ||||
\(709\) | −2.06564 | − | 10.3847i | −0.0775769 | − | 0.390005i | −0.999993 | − | 0.00380716i | \(-0.998788\pi\) |
0.922416 | − | 0.386198i | \(-0.126212\pi\) | |||||||
\(710\) | −3.65048 | − | 3.65048i | −0.137000 | − | 0.137000i | ||||
\(711\) | 61.7969 | + | 41.2914i | 2.31757 | + | 1.54855i | ||||
\(712\) | 9.81382 | − | 23.6927i | 0.367788 | − | 0.887920i | ||||
\(713\) | − | 8.95438i | − | 0.335344i | ||||||
\(714\) | 95.3460 | − | 31.5198i | 3.56823 | − | 1.17960i | ||||
\(715\) | −6.86798 | + | 3.53970i | −0.256848 | + | 0.132377i | ||||
\(716\) | −39.7382 | + | 95.9364i | −1.48508 | + | 3.58531i | ||||
\(717\) | −41.3472 | + | 61.8804i | −1.54414 | + | 2.31097i | ||||
\(718\) | 6.29830 | + | 6.29830i | 0.235051 | + | 0.235051i | ||||
\(719\) | 5.01677 | − | 0.997898i | 0.187094 | − | 0.0372153i | −0.100654 | − | 0.994922i | \(-0.532093\pi\) |
0.287748 | + | 0.957706i | \(0.407093\pi\) | |||||||
\(720\) | −57.3295 | + | 38.3064i | −2.13654 | + | 1.42759i | ||||
\(721\) | 6.36133 | − | 31.9806i | 0.236908 | − | 1.19102i | ||||
\(722\) | −17.7006 | − | 42.7329i | −0.658747 | − | 1.59036i | ||||
\(723\) | −31.9903 | + | 13.2508i | −1.18973 | + | 0.492803i | ||||
\(724\) | −0.736326 | + | 3.70176i | −0.0273653 | + | 0.137575i | ||||
\(725\) | −6.57631 | + | 4.39415i | −0.244238 | + | 0.163195i | ||||
\(726\) | −35.3011 | + | 78.4839i | −1.31015 | + | 2.91281i | ||||
\(727\) | −36.9658 | + | 36.9658i | −1.37099 | + | 1.37099i | −0.512000 | + | 0.858985i | \(0.671095\pi\) |
−0.858985 | + | 0.512000i | \(0.828905\pi\) | |||||||
\(728\) | 10.9971 | + | 7.34802i | 0.407579 | + | 0.272336i | ||||
\(729\) | −28.5202 | − | 11.8135i | −1.05631 | − | 0.437536i | ||||
\(730\) | − | 91.7930i | − | 3.39741i | ||||||
\(731\) | 24.7939 | − | 8.19644i | 0.917034 | − | 0.303156i | ||||
\(732\) | − | 44.9681i | − | 1.66207i | ||||||
\(733\) | 1.88239 | + | 0.779713i | 0.0695278 | + | 0.0287994i | 0.417176 | − | 0.908826i | \(-0.363020\pi\) |
−0.347649 | + | 0.937625i | \(0.613020\pi\) | |||||||
\(734\) | −23.6347 | + | 35.3718i | −0.872372 | + | 1.30560i | ||||
\(735\) | 15.8384 | + | 15.8384i | 0.584207 | + | 0.584207i | ||||
\(736\) | 0.380523 | + | 1.91302i | 0.0140263 | + | 0.0705148i | ||||
\(737\) | −4.82551 | − | 2.67304i | −0.177750 | − | 0.0984628i | ||||
\(738\) | −86.8700 | − | 17.2795i | −3.19773 | − | 0.636068i | ||||
\(739\) | −4.88830 | − | 11.8014i | −0.179819 | − | 0.434122i | 0.808109 | − | 0.589032i | \(-0.200491\pi\) |
−0.987928 | + | 0.154911i | \(0.950491\pi\) | |||||||
\(740\) | 31.8972 | + | 77.0066i | 1.17256 | + | 2.83082i | ||||
\(741\) | 0.0820468 | − | 0.412477i | 0.00301406 | − | 0.0151527i | ||||
\(742\) | −16.0977 | − | 24.0919i | −0.590965 | − | 0.884441i | ||||
\(743\) | 48.1877 | − | 9.58513i | 1.76784 | − | 0.351644i | 0.799379 | − | 0.600827i | \(-0.205162\pi\) |
0.968456 | + | 0.249183i | \(0.0801620\pi\) | |||||||
\(744\) | 28.5500 | + | 28.5500i | 1.04669 | + | 1.04669i | ||||
\(745\) | 35.4928 | + | 23.7155i | 1.30035 | + | 0.868869i | ||||
\(746\) | 29.2163 | + | 12.1018i | 1.06969 | + | 0.443079i | ||||
\(747\) | −68.2499 | −2.49713 | ||||||||
\(748\) | 52.7334 | − | 11.0255i | 1.92813 | − | 0.403131i | ||||
\(749\) | −26.9958 | −0.986406 | ||||||||
\(750\) | 61.4683 | + | 25.4610i | 2.24451 | + | 0.929705i | ||||
\(751\) | 16.0582 | + | 10.7298i | 0.585974 | + | 0.391535i | 0.812923 | − | 0.582372i | \(-0.197875\pi\) |
−0.226949 | + | 0.973907i | \(0.572875\pi\) | |||||||
\(752\) | 24.9006 | + | 24.9006i | 0.908030 | + | 0.908030i | ||||
\(753\) | −58.3492 | + | 11.6064i | −2.12636 | + | 0.422960i | ||||
\(754\) | −5.59834 | − | 8.37851i | −0.203880 | − | 0.305127i | ||||
\(755\) | 4.25505 | − | 21.3916i | 0.154857 | − | 0.778519i | ||||
\(756\) | −64.8561 | − | 156.576i | −2.35879 | − | 5.69463i | ||||
\(757\) | −8.63415 | − | 20.8447i | −0.313814 | − | 0.757613i | −0.999557 | − | 0.0297695i | \(-0.990523\pi\) |
0.685743 | − | 0.727844i | \(-0.259477\pi\) | |||||||
\(758\) | 20.6160 | + | 4.10078i | 0.748808 | + | 0.148947i | ||||
\(759\) | −17.3617 | + | 31.3423i | −0.630190 | + | 1.13765i | ||||
\(760\) | 0.348479 | + | 1.75192i | 0.0126406 | + | 0.0635488i | ||||
\(761\) | 11.7309 | + | 11.7309i | 0.425246 | + | 0.425246i | 0.887005 | − | 0.461759i | \(-0.152782\pi\) |
−0.461759 | + | 0.887005i | \(0.652782\pi\) | |||||||
\(762\) | 4.40456 | − | 6.59188i | 0.159560 | − | 0.238799i | ||||
\(763\) | −23.9840 | − | 9.93451i | −0.868280 | − | 0.359653i | ||||
\(764\) | − | 52.8094i | − | 1.91058i | ||||||
\(765\) | −38.4942 | − | 67.9193i | −1.39176 | − | 2.45563i | ||||
\(766\) | − | 29.1186i | − | 1.05210i | ||||||
\(767\) | −2.44936 | − | 1.01456i | −0.0884411 | − | 0.0366335i | ||||
\(768\) | −83.8942 | − | 56.0563i | −3.02727 | − | 2.02276i | ||||
\(769\) | −8.65082 | + | 8.65082i | −0.311957 | + | 0.311957i | −0.845667 | − | 0.533711i | \(-0.820797\pi\) |
0.533711 | + | 0.845667i | \(0.320797\pi\) | |||||||
\(770\) | 40.6202 | + | 51.0369i | 1.46385 | + | 1.83924i | ||||
\(771\) | 21.6732 | − | 14.4816i | 0.780542 | − | 0.521542i | ||||
\(772\) | 11.9741 | − | 60.1979i | 0.430957 | − | 2.16657i | ||||
\(773\) | 26.2214 | − | 10.8613i | 0.943119 | − | 0.390653i | 0.142479 | − | 0.989798i | \(-0.454493\pi\) |
0.800640 | + | 0.599145i | \(0.204493\pi\) | |||||||
\(774\) | −43.1478 | − | 104.168i | −1.55092 | − | 3.74424i | ||||
\(775\) | −0.892408 | + | 4.48644i | −0.0320562 | + | 0.161158i | ||||
\(776\) | 31.6430 | − | 21.1432i | 1.13592 | − | 0.758996i | ||||
\(777\) | −80.0003 | + | 15.9130i | −2.86999 | + | 0.570877i | ||||
\(778\) | −47.0630 | − | 47.0630i | −1.68729 | − | 1.68729i | ||||
\(779\) | −0.402938 | + | 0.603040i | −0.0144368 | + | 0.0216062i | ||||
\(780\) | 11.2745 | − | 27.2191i | 0.403692 | − | 0.974600i | ||||
\(781\) | 2.40918 | − | 1.24167i | 0.0862073 | − | 0.0444305i | ||||
\(782\) | 33.5618 | − | 4.14646i | 1.20017 | − | 0.148277i | ||||
\(783\) | 63.5718i | 2.27187i | ||||||||
\(784\) | 3.75117 | − | 9.05612i | 0.133970 | − | 0.323433i | ||||
\(785\) | −31.5866 | − | 21.1055i | −1.12737 | − | 0.753286i | ||||
\(786\) | 100.987 | + | 100.987i | 3.60210 | + | 3.60210i | ||||
\(787\) | 7.59156 | + | 38.1653i | 0.270610 | + | 1.36045i | 0.841871 | + | 0.539679i | \(0.181454\pi\) |
−0.571261 | + | 0.820768i | \(0.693546\pi\) | |||||||
\(788\) | 54.7238 | + | 81.8999i | 1.94945 | + | 2.91756i | ||||
\(789\) | 15.3888 | − | 77.3649i | 0.547857 | − | 2.75426i | ||||
\(790\) | 59.3849 | − | 24.5980i | 2.11282 | − | 0.875159i | ||||
\(791\) | 10.1085 | − | 4.18708i | 0.359417 | − | 0.148875i | ||||
\(792\) | −31.5981 | − | 110.078i | −1.12279 | − | 3.91145i | ||||
\(793\) | 1.77541 | + | 2.65709i | 0.0630467 | + | 0.0943561i | ||||
\(794\) | 44.9460 | − | 8.94031i | 1.59507 | − | 0.317280i | ||||
\(795\) | −22.4699 | + | 22.4699i | −0.796924 | + | 0.796924i | ||||
\(796\) | 0.510050 | − | 0.763344i | 0.0180782 | − | 0.0270560i | ||||
\(797\) | −36.7521 | − | 15.2232i | −1.30183 | − | 0.539234i | −0.379338 | − | 0.925258i | \(-0.623848\pi\) |
−0.922489 | + | 0.386024i | \(0.873848\pi\) | |||||||
\(798\) | −3.55043 | −0.125684 | ||||||||
\(799\) | −30.1864 | + | 26.0498i | −1.06792 | + | 0.921576i | ||||
\(800\) | − | 0.996408i | − | 0.0352284i | ||||||
\(801\) | 15.1648 | − | 36.6110i | 0.535821 | − | 1.29359i | ||||
\(802\) | −6.29788 | + | 9.42545i | −0.222386 | + | 0.332824i | ||||
\(803\) | 45.9012 | + | 14.6788i | 1.61982 | + | 0.518003i | ||||
\(804\) | 20.6303 | − | 4.10363i | 0.727575 | − | 0.144724i | ||||
\(805\) | 15.0880 | + | 22.5808i | 0.531781 | + | 0.795867i | ||||
\(806\) | −5.71593 | − | 1.13697i | −0.201335 | − | 0.0400480i | ||||
\(807\) | 72.5163 | − | 30.0372i | 2.55269 | − | 1.05736i | ||||
\(808\) | 5.94128 | + | 14.3435i | 0.209014 | + | 0.504603i | ||||
\(809\) | 23.9243 | + | 4.75884i | 0.841134 | + | 0.167312i | 0.596811 | − | 0.802382i | \(-0.296434\pi\) |
0.244323 | + | 0.969694i | \(0.421434\pi\) | |||||||
\(810\) | −117.891 | + | 78.7719i | −4.14225 | + | 2.76776i | ||||
\(811\) | 12.2028 | − | 2.42728i | 0.428497 | − | 0.0852333i | 0.0238696 | − | 0.999715i | \(-0.492401\pi\) |
0.404627 | + | 0.914482i | \(0.367401\pi\) | |||||||
\(812\) | −39.8986 | + | 39.8986i | −1.40017 | + | 1.40017i | ||||
\(813\) | 19.1009 | + | 12.7628i | 0.669898 | + | 0.447611i | ||||
\(814\) | −65.7461 | + | 5.48180i | −2.30440 | + | 0.192137i | ||||
\(815\) | 48.3926i | 1.69512i | ||||||||
\(816\) | −29.6442 | + | 38.0017i | −1.03776 | + | 1.33032i | ||||
\(817\) | −0.923258 | −0.0323007 | ||||||||
\(818\) | −8.92414 | + | 21.5448i | −0.312025 | + | 0.753296i | ||||
\(819\) | 16.9932 | + | 11.3545i | 0.593791 | + | 0.396758i | ||||
\(820\) | −35.9267 | + | 35.9267i | −1.25461 | + | 1.25461i | ||||
\(821\) | −8.17356 | − | 41.0913i | −0.285259 | − | 1.43409i | −0.811795 | − | 0.583942i | \(-0.801509\pi\) |
0.526536 | − | 0.850153i | \(-0.323491\pi\) | |||||||
\(822\) | 24.1633 | + | 36.1629i | 0.842792 | + | 1.26133i | ||||
\(823\) | 17.2252 | + | 3.42630i | 0.600431 | + | 0.119433i | 0.485942 | − | 0.873991i | \(-0.338477\pi\) |
0.114490 | + | 0.993424i | \(0.463477\pi\) | |||||||
\(824\) | 18.9474 | + | 45.7430i | 0.660063 | + | 1.59353i | ||||
\(825\) | 11.8224 | − | 13.9732i | 0.411603 | − | 0.486484i | ||||
\(826\) | −4.36644 | + | 21.9516i | −0.151928 | + | 0.763793i | ||||
\(827\) | −13.4679 | + | 8.99898i | −0.468326 | + | 0.312925i | −0.767246 | − | 0.641353i | \(-0.778374\pi\) |
0.298920 | + | 0.954278i | \(0.403374\pi\) | |||||||
\(828\) | −18.8938 | − | 94.9858i | −0.656606 | − | 3.30098i | ||||
\(829\) | 15.5999 | − | 15.5999i | 0.541807 | − | 0.541807i | −0.382252 | − | 0.924058i | \(-0.624851\pi\) |
0.924058 | + | 0.382252i | \(0.124851\pi\) | |||||||
\(830\) | −32.7930 | + | 49.0782i | −1.13826 | + | 1.70353i | ||||
\(831\) | 13.6318 | − | 32.9101i | 0.472882 | − | 1.14164i | ||||
\(832\) | 7.81482 | 0.270930 | ||||||||
\(833\) | 9.91474 | + | 4.98811i | 0.343525 | + | 0.172828i | ||||
\(834\) | −35.7020 | −1.23626 | ||||||||
\(835\) | 14.9979 | + | 6.21232i | 0.519022 | + | 0.214986i | ||||
\(836\) | −1.89255 | − | 0.215087i | −0.0654552 | − | 0.00743893i | ||||
\(837\) | 25.9981 | + | 25.9981i | 0.898626 | + | 0.898626i | ||||
\(838\) | −15.6119 | − | 78.4864i | −0.539304 | − | 2.71127i | ||||
\(839\) | −33.6727 | + | 22.4994i | −1.16251 | + | 0.776766i | −0.978518 | − | 0.206162i | \(-0.933903\pi\) |
−0.183994 | + | 0.982927i | \(0.558903\pi\) | |||||||
\(840\) | −120.102 | − | 23.8899i | −4.14393 | − | 0.824279i | ||||
\(841\) | −7.23826 | + | 2.99818i | −0.249595 | + | 0.103386i | ||||
\(842\) | 20.8185 | − | 8.62332i | 0.717454 | − | 0.297179i | ||||
\(843\) | 45.6593 | + | 9.08220i | 1.57259 | + | 0.312808i | ||||
\(844\) | −88.4512 | + | 59.1012i | −3.04462 | + | 2.03435i | ||||
\(845\) | −6.16566 | − | 30.9968i | −0.212105 | − | 1.06632i | ||||
\(846\) | 121.734 | + | 121.734i | 4.18530 | + | 4.18530i | ||||
\(847\) | −32.0168 | + | 12.1508i | −1.10011 | + | 0.417506i | ||||
\(848\) | 12.8479 | + | 5.32177i | 0.441199 | + | 0.182750i | ||||
\(849\) | 38.4827 | 1.32072 | ||||||||
\(850\) | −17.2288 | − | 1.26731i | −0.590943 | − | 0.0434685i | ||||
\(851\) | −27.4681 | −0.941594 | ||||||||
\(852\) | −3.95493 | + | 9.54804i | −0.135494 | + | 0.327110i | ||||
\(853\) | −29.8976 | + | 44.7450i | −1.02368 | + | 1.53204i | −0.188488 | + | 0.982076i | \(0.560359\pi\) |
−0.835188 | + | 0.549964i | \(0.814641\pi\) | |||||||
\(854\) | 19.0766 | − | 19.0766i | 0.652787 | − | 0.652787i | ||||
\(855\) | 0.538485 | + | 2.70715i | 0.0184158 | + | 0.0925825i | ||||
\(856\) | 34.0832 | − | 22.7736i | 1.16494 | − | 0.778387i | ||||
\(857\) | −5.90751 | + | 29.6991i | −0.201797 | + | 1.01450i | 0.738528 | + | 0.674223i | \(0.235521\pi\) |
−0.940325 | + | 0.340278i | \(0.889479\pi\) | |||||||
\(858\) | 17.8025 | + | 15.0623i | 0.607767 | + | 0.514218i | ||||
\(859\) | −6.32326 | − | 15.2657i | −0.215747 | − | 0.520859i | 0.778541 | − | 0.627594i | \(-0.215960\pi\) |
−0.994287 | + | 0.106735i | \(0.965960\pi\) | |||||||
\(860\) | −63.4351 | − | 12.6180i | −2.16312 | − | 0.430271i | ||||
\(861\) | −27.6234 | − | 41.3413i | −0.941401 | − | 1.40891i | ||||
\(862\) | 14.7200 | + | 74.0022i | 0.501364 | + | 2.52053i | ||||
\(863\) | 19.5240 | − | 19.5240i | 0.664605 | − | 0.664605i | −0.291857 | − | 0.956462i | \(-0.594273\pi\) |
0.956462 | + | 0.291857i | \(0.0942730\pi\) | |||||||
\(864\) | −6.65906 | − | 4.44944i | −0.226546 | − | 0.151373i | ||||
\(865\) | −0.0995745 | + | 0.240394i | −0.00338563 | + | 0.00817364i | ||||
\(866\) | −57.7789 | −1.96341 | ||||||||
\(867\) | −40.4498 | − | 36.6313i | −1.37375 | − | 1.24406i | ||||
\(868\) | 32.6336i | 1.10766i | ||||||||
\(869\) | 2.80393 | + | 33.6290i | 0.0951169 | + | 1.14079i | ||||
\(870\) | 77.5735 | + | 51.8330i | 2.62999 | + | 1.75730i | ||||
\(871\) | −1.05699 | + | 1.05699i | −0.0358149 | + | 0.0358149i | ||||
\(872\) | 38.6614 | − | 7.69023i | 1.30924 | − | 0.260424i | ||||
\(873\) | 48.8963 | − | 32.6715i | 1.65489 | − | 1.10576i | ||||
\(874\) | −1.17264 | − | 0.233253i | −0.0396653 | − | 0.00788991i | ||||
\(875\) | 10.1317 | + | 24.4601i | 0.342515 | + | 0.826903i | ||||
\(876\) | −169.769 | + | 70.3207i | −5.73597 | + | 2.37592i | ||||
\(877\) | 34.0074 | + | 6.76449i | 1.14835 | + | 0.228420i | 0.732339 | − | 0.680940i | \(-0.238429\pi\) |
0.416008 | + | 0.909361i | \(0.363429\pi\) | |||||||
\(878\) | 29.6887 | + | 44.4322i | 1.00194 | + | 1.49951i | ||||
\(879\) | 52.0697 | − | 10.3573i | 1.75627 | − | 0.349343i | ||||
\(880\) | −29.8186 | − | 9.53571i | −1.00518 | − | 0.321449i | ||||
\(881\) | −23.0674 | + | 34.5228i | −0.777161 | + | 1.16310i | 0.205674 | + | 0.978621i | \(0.434061\pi\) |
−0.982836 | + | 0.184484i | \(0.940939\pi\) | |||||||
\(882\) | 18.3387 | − | 44.2736i | 0.617497 | − | 1.49077i | ||||
\(883\) | − | 13.7954i | − | 0.464254i | −0.972686 | − | 0.232127i | \(-0.925432\pi\) | ||
0.972686 | − | 0.232127i | \(-0.0745684\pi\) | |||||||
\(884\) | 1.07094 | − | 14.5592i | 0.0360196 | − | 0.489678i | ||||
\(885\) | 24.5461 | 0.825109 | ||||||||
\(886\) | −45.5158 | − | 18.8533i | −1.52913 | − | 0.633387i | ||||
\(887\) | 22.8938 | − | 34.2630i | 0.768698 | − | 1.15044i | −0.216038 | − | 0.976385i | \(-0.569313\pi\) |
0.984736 | − | 0.174054i | \(-0.0556866\pi\) | |||||||
\(888\) | 87.5789 | − | 87.5789i | 2.93895 | − | 2.93895i | ||||
\(889\) | 3.09417 | − | 0.615469i | 0.103775 | − | 0.0206422i | ||||
\(890\) | −19.0404 | − | 28.4959i | −0.638235 | − | 0.955186i | ||||
\(891\) | −20.5379 | − | 71.5479i | −0.688047 | − | 2.39695i | ||||
\(892\) | 29.6559 | − | 12.2839i | 0.992953 | − | 0.411295i | ||||
\(893\) | 1.30240 | − | 0.539474i | 0.0435833 | − | 0.0180528i | ||||
\(894\) | 25.1343 | − | 126.359i | 0.840617 | − | 4.22607i | ||||
\(895\) | 37.9585 | + | 56.8089i | 1.26881 | + | 1.89891i | ||||
\(896\) | −12.1669 | − | 61.1673i | −0.406469 | − | 2.04346i | ||||
\(897\) | 6.86530 | + | 6.86530i | 0.229226 | + | 0.229226i | ||||
\(898\) | 51.0164 | + | 34.0881i | 1.70244 | + | 1.13753i | ||||
\(899\) | 4.68444 | − | 11.3092i | 0.156235 | − | 0.377184i | ||||
\(900\) | 49.4740i | 1.64913i | ||||||||
\(901\) | −7.07661 | + | 14.0660i | −0.235756 | + | 0.468607i | ||||
\(902\) | −18.4238 | − | 35.7471i | −0.613444 | − | 1.19025i | ||||
\(903\) | 24.2215 | − | 58.4758i | 0.806040 | − | 1.94595i | ||||
\(904\) | −9.23012 | + | 13.8139i | −0.306989 | + | 0.459442i | ||||
\(905\) | 1.75599 | + | 1.75599i | 0.0583710 | + | 0.0583710i | ||||
\(906\) | −64.5625 | + | 12.8423i | −2.14495 | + | 0.426656i | ||||
\(907\) | −11.8545 | + | 7.92093i | −0.393623 | + | 0.263010i | −0.736593 | − | 0.676336i | \(-0.763567\pi\) |
0.342971 | + | 0.939346i | \(0.388567\pi\) | |||||||
\(908\) | −7.71811 | + | 38.8016i | −0.256134 | + | 1.28767i | ||||
\(909\) | 9.18075 | + | 22.1643i | 0.304506 | + | 0.735143i | ||||
\(910\) | 16.3299 | − | 6.76408i | 0.541332 | − | 0.224227i | ||||
\(911\) | −4.02522 | + | 20.2362i | −0.133362 | + | 0.670454i | 0.855037 | + | 0.518568i | \(0.173535\pi\) |
−0.988398 | + | 0.151886i | \(0.951465\pi\) | |||||||
\(912\) | 1.41684 | − | 0.946700i | 0.0469162 | − | 0.0313484i | ||||
\(913\) | −19.2976 | − | 24.2464i | −0.638658 | − | 0.802438i | ||||
\(914\) | −18.1694 | + | 18.1694i | −0.600991 | + | 0.600991i | ||||
\(915\) | −24.6010 | − | 16.4379i | −0.813285 | − | 0.543419i | ||||
\(916\) | 26.0633 | + | 10.7958i | 0.861155 | + | 0.356702i | ||||
\(917\) | 56.8315i | 1.87674i | ||||||||
\(918\) | −85.4044 | + | 109.482i | −2.81877 | + | 3.61345i | ||||
\(919\) | 2.75588i | 0.0909082i | 0.998966 | + | 0.0454541i | \(0.0144735\pi\) | ||||
−0.998966 | + | 0.0454541i | \(0.985527\pi\) | |||||||
\(920\) | −38.0982 | − | 15.7808i | −1.25606 | − | 0.520277i | ||||
\(921\) | 1.93081 | − | 2.88966i | 0.0636223 | − | 0.0952175i | ||||
\(922\) | −4.13538 | − | 4.13538i | −0.136191 | − | 0.136191i | ||||
\(923\) | −0.143281 | − | 0.720324i | −0.00471617 | − | 0.0237098i | ||||
\(924\) | 63.2735 | − | 114.225i | 2.08154 | − | 3.75771i | ||||
\(925\) | 13.7624 | + | 2.73751i | 0.452505 | + | 0.0900089i | ||||
\(926\) | −11.0671 | − | 26.7185i | −0.363689 | − | 0.878023i | ||||
\(927\) | 29.2784 | + | 70.6842i | 0.961628 | + | 2.32157i | ||||
\(928\) | −0.520192 | + | 2.61518i | −0.0170761 | + | 0.0858475i | ||||
\(929\) | 31.6760 | + | 47.4065i | 1.03926 | + | 1.55536i | 0.813835 | + | 0.581096i | \(0.197376\pi\) |
0.225422 | + | 0.974261i | \(0.427624\pi\) | |||||||
\(930\) | 52.9216 | − | 10.5268i | 1.73537 | − | 0.345186i | ||||
\(931\) | −0.277471 | − | 0.277471i | −0.00909376 | − | 0.00909376i | ||||
\(932\) | 44.2612 | + | 29.5744i | 1.44982 | + | 0.968742i | ||||
\(933\) | −3.30850 | − | 1.37043i | −0.108315 | − | 0.0448657i | ||||
\(934\) | −4.54653 | −0.148767 | ||||||||
\(935\) | 13.2447 | − | 32.8796i | 0.433148 | − | 1.07528i | ||||
\(936\) | −31.0332 | −1.01435 | ||||||||
\(937\) | 42.8197 | + | 17.7365i | 1.39886 | + | 0.579426i | 0.949455 | − | 0.313903i | \(-0.101637\pi\) |
0.449403 | + | 0.893329i | \(0.351637\pi\) | |||||||
\(938\) | 10.4928 | + | 7.01104i | 0.342601 | + | 0.228918i | ||||
\(939\) | 75.2325 | + | 75.2325i | 2.45512 | + | 2.45512i | ||||
\(940\) | 96.8583 | − | 19.2663i | 3.15917 | − | 0.628398i | ||||
\(941\) | −6.24719 | − | 9.34959i | −0.203653 | − | 0.304788i | 0.715558 | − | 0.698553i | \(-0.246172\pi\) |
−0.919211 | + | 0.393765i | \(0.871172\pi\) | |||||||
\(942\) | −22.3681 | + | 112.452i | −0.728792 | + | 3.66389i | ||||
\(943\) | −6.40749 | − | 15.4690i | −0.208657 | − | 0.503742i | ||||
\(944\) | −4.11078 | − | 9.92429i | −0.133794 | − | 0.323008i | ||||
\(945\) | −109.367 | − | 21.7545i | −3.55772 | − | 0.707674i | ||||
\(946\) | 24.8066 | − | 44.7821i | 0.806532 | − | 1.45599i | ||||
\(947\) | −10.4812 | − | 52.6926i | −0.340594 | − | 1.71228i | −0.648799 | − | 0.760960i | \(-0.724728\pi\) |
0.308205 | − | 0.951320i | \(-0.400272\pi\) | |||||||
\(948\) | −90.9871 | − | 90.9871i | −2.95512 | − | 2.95512i | ||||
\(949\) | 7.25501 | − | 10.8579i | 0.235508 | − | 0.352462i | ||||
\(950\) | 0.564287 | + | 0.233735i | 0.0183079 | + | 0.00758337i | ||||
\(951\) | − | 31.7790i | − | 1.03051i | ||||||
\(952\) | −60.2197 | + | 7.43996i | −1.95173 | + | 0.241130i | ||||
\(953\) | − | 40.0153i | − | 1.29622i | −0.761546 | − | 0.648111i | \(-0.775559\pi\) | ||
0.761546 | − | 0.648111i | \(-0.224441\pi\) | |||||||
\(954\) | 62.8108 | + | 26.0171i | 2.03358 | + | 0.842335i | ||||
\(955\) | −28.8908 | − | 19.3042i | −0.934884 | − | 0.624670i | ||||
\(956\) | 64.5850 | − | 64.5850i | 2.08883 | − | 2.08883i | ||||
\(957\) | −38.3241 | + | 30.5021i | −1.23884 | + | 0.985992i | ||||
\(958\) | −51.2277 | + | 34.2292i | −1.65509 | + | 1.10590i | ||||
\(959\) | −3.37645 | + | 16.9746i | −0.109031 | + | 0.548137i | ||||
\(960\) | −66.8469 | + | 27.6889i | −2.15747 | + | 0.893655i | ||||
\(961\) | 9.15393 | + | 22.0995i | 0.295288 | + | 0.712889i | ||||
\(962\) | −3.48772 | + | 17.5339i | −0.112449 | + | 0.565317i | ||||
\(963\) | 52.6669 | − | 35.1909i | 1.69717 | − | 1.13401i | ||||
\(964\) | 41.6790 | − | 8.29046i | 1.34239 | − | 0.267018i | ||||
\(965\) | −28.5558 | − | 28.5558i | −0.919244 | − | 0.919244i | ||||
\(966\) | 45.5375 | − | 68.1516i | 1.46514 | − | 2.19274i | ||||
\(967\) | 11.9161 | − | 28.7681i | 0.383197 | − | 0.925119i | −0.608146 | − | 0.793825i | \(-0.708087\pi\) |
0.991343 | − | 0.131295i | \(-0.0419134\pi\) | |||||||
\(968\) | 30.1719 | − | 42.3501i | 0.969761 | − | 1.36118i | ||||
\(969\) | 0.951343 | + | 1.67855i | 0.0305615 | + | 0.0539228i | ||||
\(970\) | − | 50.8592i | − | 1.63299i | ||||||
\(971\) | 21.5160 | − | 51.9442i | 0.690481 | − | 1.66697i | −0.0533271 | − | 0.998577i | \(-0.516983\pi\) |
0.743809 | − | 0.668393i | \(-0.233017\pi\) | |||||||
\(972\) | 100.208 | + | 66.9569i | 3.21418 | + | 2.14764i | ||||
\(973\) | −10.0458 | − | 10.0458i | −0.322054 | − | 0.322054i | ||||
\(974\) | −3.93781 | − | 19.7967i | −0.126176 | − | 0.634328i | ||||
\(975\) | −2.75553 | − | 4.12395i | −0.0882477 | − | 0.132072i | ||||
\(976\) | −2.52606 | + | 12.6994i | −0.0808572 | + | 0.406497i | ||||
\(977\) | 8.00494 | − | 3.31576i | 0.256101 | − | 0.106080i | −0.250939 | − | 0.968003i | \(-0.580740\pi\) |
0.507040 | + | 0.861922i | \(0.330740\pi\) | |||||||
\(978\) | 134.937 | − | 55.8929i | 4.31482 | − | 1.78726i | ||||
\(979\) | 17.2942 | − | 4.96433i | 0.552726 | − | 0.158661i | ||||
\(980\) | −15.2723 | − | 22.8566i | −0.487856 | − | 0.730128i | ||||
\(981\) | 59.7414 | − | 11.8833i | 1.90740 | − | 0.379405i | ||||
\(982\) | −3.63720 | + | 3.63720i | −0.116068 | + | 0.116068i | ||||
\(983\) | −1.43162 | + | 2.14257i | −0.0456617 | + | 0.0683375i | −0.853598 | − | 0.520932i | \(-0.825584\pi\) |
0.807936 | + | 0.589270i | \(0.200584\pi\) | |||||||
\(984\) | 69.7508 | + | 28.8917i | 2.22358 | + | 0.921035i | ||||
\(985\) | 64.8096 | 2.06500 | ||||||||
\(986\) | 44.5572 | + | 12.3208i | 1.41899 | + | 0.392374i | ||||
\(987\) | 96.6425i | 3.07617i | ||||||||
\(988\) | −0.197517 | + | 0.476849i | −0.00628387 | + | 0.0151706i | ||||
\(989\) | 11.8416 | − | 17.7222i | 0.376541 | − | 0.563534i | ||||
\(990\) | −145.777 | − | 46.6182i | −4.63310 | − | 1.48162i | ||||
\(991\) | −40.5803 | + | 8.07192i | −1.28908 | + | 0.256413i | −0.791587 | − | 0.611057i | \(-0.790745\pi\) |
−0.497489 | + | 0.867470i | \(0.665745\pi\) | |||||||
\(992\) | 0.856759 | + | 1.28223i | 0.0272021 | + | 0.0407109i | ||||
\(993\) | 35.7863 | + | 7.11833i | 1.13564 | + | 0.225893i | ||||
\(994\) | −5.72829 | + | 2.37274i | −0.181690 | + | 0.0752586i | ||||
\(995\) | −0.231162 | − | 0.558073i | −0.00732831 | − | 0.0176921i | ||||
\(996\) | 115.891 | + | 23.0522i | 3.67215 | + | 0.730436i | ||||
\(997\) | −48.2791 | + | 32.2591i | −1.52902 | + | 1.02166i | −0.546074 | + | 0.837737i | \(0.683878\pi\) |
−0.982942 | + | 0.183918i | \(0.941122\pi\) | |||||||
\(998\) | −70.1517 | + | 13.9540i | −2.22061 | + | 0.441707i | ||||
\(999\) | 79.7507 | − | 79.7507i | 2.52320 | − | 2.52320i |
(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 | 187.2.m.a.10.15 | yes | 128 | |
11.10 | odd | 2 | inner | 187.2.m.a.10.2 | ✓ | 128 | |
17.12 | odd | 16 | inner | 187.2.m.a.131.2 | yes | 128 | |
187.131 | even | 16 | inner | 187.2.m.a.131.15 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.m.a.10.2 | ✓ | 128 | 11.10 | odd | 2 | inner | |
187.2.m.a.10.15 | yes | 128 | 1.1 | even | 1 | trivial | |
187.2.m.a.131.2 | yes | 128 | 17.12 | odd | 16 | inner | |
187.2.m.a.131.15 | yes | 128 | 187.131 | even | 16 | inner |