Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 13.12 | ||
Character | \(\chi\) | \(=\) | 576.13 |
Dual form | 576.2.bm.a.133.12 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31640 | − | 0.516800i | −0.930838 | − | 0.365432i | ||||
\(3\) | 1.64727 | − | 0.535253i | 0.951053 | − | 0.309029i | ||||
\(4\) | 1.46584 | + | 1.36063i | 0.732918 | + | 0.680317i | ||||
\(5\) | −0.299490 | + | 0.882268i | −0.133936 | + | 0.394562i | −0.993120 | − | 0.117105i | \(-0.962639\pi\) |
0.859184 | + | 0.511667i | \(0.170972\pi\) | |||||||
\(6\) | −2.44509 | − | 0.146700i | −0.998205 | − | 0.0598901i | ||||
\(7\) | 1.60558 | − | 2.09243i | 0.606853 | − | 0.790866i | −0.384355 | − | 0.923186i | \(-0.625576\pi\) |
0.991207 | + | 0.132320i | \(0.0422426\pi\) | |||||||
\(8\) | −1.22646 | − | 2.54869i | −0.433618 | − | 0.901097i | ||||
\(9\) | 2.42701 | − | 1.76341i | 0.809003 | − | 0.587805i | ||||
\(10\) | 0.850205 | − | 1.00664i | 0.268858 | − | 0.318329i | ||||
\(11\) | 0.563520 | + | 0.0369350i | 0.169908 | + | 0.0111363i | 0.150119 | − | 0.988668i | \(-0.452034\pi\) |
0.0197881 | + | 0.999804i | \(0.493701\pi\) | |||||||
\(12\) | 3.14291 | + | 1.45674i | 0.907281 | + | 0.420525i | ||||
\(13\) | −0.258824 | + | 0.295132i | −0.0717849 | + | 0.0818550i | −0.786617 | − | 0.617441i | \(-0.788170\pi\) |
0.714833 | + | 0.699296i | \(0.246503\pi\) | |||||||
\(14\) | −3.19496 | + | 1.92472i | −0.853889 | + | 0.514404i | ||||
\(15\) | −0.0211041 | + | 1.61364i | −0.00544906 | + | 0.416639i | ||||
\(16\) | 0.297353 | + | 3.98893i | 0.0743382 | + | 0.997233i | ||||
\(17\) | −2.14512 | − | 2.14512i | −0.520267 | − | 0.520267i | 0.397385 | − | 0.917652i | \(-0.369918\pi\) |
−0.917652 | + | 0.397385i | \(0.869918\pi\) | |||||||
\(18\) | −4.10625 | + | 1.06709i | −0.967853 | + | 0.251515i | ||||
\(19\) | 1.03056 | − | 5.18096i | 0.236426 | − | 1.18859i | −0.662012 | − | 0.749493i | \(-0.730297\pi\) |
0.898438 | − | 0.439100i | \(-0.144703\pi\) | |||||||
\(20\) | −1.63945 | + | 0.885765i | −0.366591 | + | 0.198063i | ||||
\(21\) | 1.52485 | − | 4.30620i | 0.332749 | − | 0.939690i | ||||
\(22\) | −0.722731 | − | 0.339848i | −0.154087 | − | 0.0724559i | ||||
\(23\) | 0.140392 | − | 0.107726i | 0.0292737 | − | 0.0224625i | −0.594021 | − | 0.804450i | \(-0.702460\pi\) |
0.623295 | + | 0.781987i | \(0.285794\pi\) | |||||||
\(24\) | −3.38450 | − | 3.54191i | −0.690858 | − | 0.722990i | ||||
\(25\) | 3.27806 | + | 2.51535i | 0.655613 | + | 0.503069i | ||||
\(26\) | 0.493241 | − | 0.254753i | 0.0967326 | − | 0.0499612i | ||||
\(27\) | 3.05407 | − | 4.20389i | 0.587756 | − | 0.809038i | ||||
\(28\) | 5.20055 | − | 0.882558i | 0.982812 | − | 0.166788i | ||||
\(29\) | −1.52885 | + | 3.10021i | −0.283901 | + | 0.575694i | −0.991377 | − | 0.131044i | \(-0.958167\pi\) |
0.707476 | + | 0.706738i | \(0.249834\pi\) | |||||||
\(30\) | 0.861709 | − | 2.11329i | 0.157326 | − | 0.385833i | ||||
\(31\) | 6.55413 | + | 3.78403i | 1.17716 | + | 0.679631i | 0.955355 | − | 0.295460i | \(-0.0954730\pi\) |
0.221801 | + | 0.975092i | \(0.428806\pi\) | |||||||
\(32\) | 1.67004 | − | 5.40472i | 0.295225 | − | 0.955428i | ||||
\(33\) | 0.948040 | − | 0.240784i | 0.165032 | − | 0.0419150i | ||||
\(34\) | 1.71524 | + | 3.93243i | 0.294162 | + | 0.674407i | ||||
\(35\) | 1.36523 | + | 2.04321i | 0.230766 | + | 0.345366i | ||||
\(36\) | 5.95696 | + | 0.717391i | 0.992826 | + | 0.119565i | ||||
\(37\) | −0.453900 | − | 2.28191i | −0.0746207 | − | 0.375144i | 0.925372 | − | 0.379061i | \(-0.123753\pi\) |
−0.999992 | + | 0.00391755i | \(0.998753\pi\) | |||||||
\(38\) | −4.03414 | + | 6.28764i | −0.654425 | + | 1.01999i | ||||
\(39\) | −0.268383 | + | 0.624700i | −0.0429757 | + | 0.100032i | ||||
\(40\) | 2.61594 | − | 0.318759i | 0.413616 | − | 0.0504002i | ||||
\(41\) | −0.905734 | + | 0.694994i | −0.141452 | + | 0.108540i | −0.677064 | − | 0.735925i | \(-0.736748\pi\) |
0.535612 | + | 0.844464i | \(0.320081\pi\) | |||||||
\(42\) | −4.23275 | + | 4.88066i | −0.653128 | + | 0.753101i | ||||
\(43\) | 0.345535 | − | 5.27184i | 0.0526936 | − | 0.803949i | −0.886965 | − | 0.461836i | \(-0.847191\pi\) |
0.939659 | − | 0.342113i | \(-0.111142\pi\) | |||||||
\(44\) | 0.775773 | + | 0.820884i | 0.116952 | + | 0.123753i | ||||
\(45\) | 0.828940 | + | 2.66940i | 0.123571 | + | 0.397930i | ||||
\(46\) | −0.240485 | + | 0.0692570i | −0.0354576 | + | 0.0102114i | ||||
\(47\) | −1.40411 | + | 5.24019i | −0.204810 | + | 0.764361i | 0.784698 | + | 0.619879i | \(0.212818\pi\) |
−0.989507 | + | 0.144482i | \(0.953848\pi\) | |||||||
\(48\) | 2.62491 | + | 6.41170i | 0.378873 | + | 0.925449i | ||||
\(49\) | 0.0113445 | + | 0.0423382i | 0.00162064 | + | 0.00604831i | ||||
\(50\) | −3.01532 | − | 5.00531i | −0.426431 | − | 0.707858i | ||||
\(51\) | −4.68177 | − | 2.38541i | −0.655579 | − | 0.334024i | ||||
\(52\) | −0.780961 | + | 0.0804510i | −0.108300 | + | 0.0111565i | ||||
\(53\) | 1.39598 | − | 2.08923i | 0.191753 | − | 0.286978i | −0.723118 | − | 0.690724i | \(-0.757292\pi\) |
0.914871 | + | 0.403746i | \(0.132292\pi\) | |||||||
\(54\) | −6.19295 | + | 3.95567i | −0.842754 | + | 0.538298i | ||||
\(55\) | −0.201355 | + | 0.486114i | −0.0271507 | + | 0.0655475i | ||||
\(56\) | −7.30213 | − | 1.52584i | −0.975789 | − | 0.203899i | ||||
\(57\) | −1.07552 | − | 9.08605i | −0.142456 | − | 1.20348i | ||||
\(58\) | 3.61477 | − | 3.29101i | 0.474643 | − | 0.432131i | ||||
\(59\) | 2.48795 | − | 7.32925i | 0.323903 | − | 0.954187i | −0.656008 | − | 0.754754i | \(-0.727756\pi\) |
0.979911 | − | 0.199434i | \(-0.0639102\pi\) | |||||||
\(60\) | −2.22650 | + | 2.33661i | −0.287441 | + | 0.301656i | ||||
\(61\) | −6.56731 | − | 3.23864i | −0.840858 | − | 0.414665i | −0.0297470 | − | 0.999557i | \(-0.509470\pi\) |
−0.811111 | + | 0.584892i | \(0.801137\pi\) | |||||||
\(62\) | −6.67229 | − | 8.36848i | −0.847382 | − | 1.06280i | ||||
\(63\) | 0.206930 | − | 7.90966i | 0.0260707 | − | 0.996523i | ||||
\(64\) | −4.99160 | + | 6.25171i | −0.623951 | + | 0.781464i | ||||
\(65\) | −0.182871 | − | 0.316741i | −0.0226823 | − | 0.0392869i | ||||
\(66\) | −1.37244 | − | 0.172978i | −0.168936 | − | 0.0212921i | ||||
\(67\) | 0.411429 | + | 6.27719i | 0.0502641 | + | 0.766881i | 0.946379 | + | 0.323059i | \(0.104711\pi\) |
−0.896115 | + | 0.443822i | \(0.853622\pi\) | |||||||
\(68\) | −0.225672 | − | 6.06311i | −0.0273668 | − | 0.735260i | ||||
\(69\) | 0.173602 | − | 0.252600i | 0.0208993 | − | 0.0304094i | ||||
\(70\) | −0.741264 | − | 3.39525i | −0.0885980 | − | 0.405810i | ||||
\(71\) | 2.68474 | + | 6.48154i | 0.318620 | + | 0.769217i | 0.999328 | + | 0.0366618i | \(0.0116724\pi\) |
−0.680708 | + | 0.732555i | \(0.738328\pi\) | |||||||
\(72\) | −7.47101 | − | 4.02293i | −0.880467 | − | 0.474107i | ||||
\(73\) | 3.49286 | − | 8.43250i | 0.408808 | − | 0.986950i | −0.576644 | − | 0.816995i | \(-0.695638\pi\) |
0.985452 | − | 0.169954i | \(-0.0543619\pi\) | |||||||
\(74\) | −0.581774 | + | 3.23849i | −0.0676299 | + | 0.376467i | ||||
\(75\) | 6.74621 | + | 2.38887i | 0.778985 | + | 0.275842i | ||||
\(76\) | 8.56001 | − | 6.19223i | 0.981901 | − | 0.710297i | ||||
\(77\) | 0.982060 | − | 1.11983i | 0.111916 | − | 0.127616i | ||||
\(78\) | 0.676145 | − | 0.683656i | 0.0765583 | − | 0.0774088i | ||||
\(79\) | −0.426226 | − | 0.114207i | −0.0479541 | − | 0.0128493i | 0.234762 | − | 0.972053i | \(-0.424569\pi\) |
−0.282716 | + | 0.959204i | \(0.591236\pi\) | |||||||
\(80\) | −3.60836 | − | 0.932299i | −0.403427 | − | 0.104234i | ||||
\(81\) | 2.78074 | − | 8.55964i | 0.308971 | − | 0.951072i | ||||
\(82\) | 1.55148 | − | 0.446810i | 0.171333 | − | 0.0493419i | ||||
\(83\) | −10.5866 | + | 3.59366i | −1.16203 | + | 0.394456i | −0.834834 | − | 0.550501i | \(-0.814437\pi\) |
−0.327195 | + | 0.944957i | \(0.606103\pi\) | |||||||
\(84\) | 8.09433 | − | 4.23743i | 0.883164 | − | 0.462341i | ||||
\(85\) | 2.53501 | − | 1.25013i | 0.274960 | − | 0.135595i | ||||
\(86\) | −3.17935 | + | 6.76130i | −0.342838 | + | 0.729090i | ||||
\(87\) | −0.859041 | + | 5.92521i | −0.0920989 | + | 0.635249i | ||||
\(88\) | −0.596997 | − | 1.48153i | −0.0636401 | − | 0.157932i | ||||
\(89\) | 13.4897 | − | 5.58763i | 1.42991 | − | 0.592287i | 0.472579 | − | 0.881288i | \(-0.343323\pi\) |
0.957329 | + | 0.289001i | \(0.0933231\pi\) | |||||||
\(90\) | 0.288323 | − | 3.94240i | 0.0303919 | − | 0.415565i | ||||
\(91\) | 0.201982 | + | 1.01543i | 0.0211734 | + | 0.106446i | ||||
\(92\) | 0.352367 | + | 0.0331125i | 0.0367368 | + | 0.00345221i | ||||
\(93\) | 12.8218 | + | 2.72520i | 1.32956 | + | 0.282591i | ||||
\(94\) | 4.55650 | − | 6.17257i | 0.469967 | − | 0.636652i | ||||
\(95\) | 4.26235 | + | 2.46087i | 0.437308 | + | 0.252480i | ||||
\(96\) | −0.141878 | − | 9.79693i | −0.0144803 | − | 0.999895i | ||||
\(97\) | −10.4183 | + | 6.01499i | −1.05781 | + | 0.610730i | −0.924827 | − | 0.380388i | \(-0.875790\pi\) |
−0.132988 | + | 0.991118i | \(0.542457\pi\) | |||||||
\(98\) | 0.00694643 | − | 0.0615969i | 0.000701696 | − | 0.00622223i | ||||
\(99\) | 1.43280 | − | 0.904077i | 0.144002 | − | 0.0908632i | ||||
\(100\) | 1.38264 | + | 8.14733i | 0.138264 | + | 0.814733i | ||||
\(101\) | −9.12010 | + | 7.99811i | −0.907484 | + | 0.795842i | −0.979476 | − | 0.201563i | \(-0.935398\pi\) |
0.0719915 | + | 0.997405i | \(0.477065\pi\) | |||||||
\(102\) | 4.93032 | + | 5.55970i | 0.488174 | + | 0.550492i | ||||
\(103\) | −1.55984 | + | 11.8482i | −0.153696 | + | 1.16744i | 0.724549 | + | 0.689224i | \(0.242048\pi\) |
−0.878245 | + | 0.478212i | \(0.841285\pi\) | |||||||
\(104\) | 1.06964 | + | 0.297694i | 0.104886 | + | 0.0291913i | ||||
\(105\) | 3.34255 | + | 2.63498i | 0.326199 | + | 0.257148i | ||||
\(106\) | −2.91739 | + | 2.02883i | −0.283362 | + | 0.197058i | ||||
\(107\) | −0.806799 | − | 0.539086i | −0.0779962 | − | 0.0521154i | 0.515961 | − | 0.856612i | \(-0.327435\pi\) |
−0.593957 | + | 0.804497i | \(0.702435\pi\) | |||||||
\(108\) | 10.1967 | − | 2.00674i | 0.981179 | − | 0.193099i | ||||
\(109\) | −0.642711 | + | 3.23113i | −0.0615605 | + | 0.309486i | −0.999281 | − | 0.0379040i | \(-0.987932\pi\) |
0.937721 | + | 0.347390i | \(0.112932\pi\) | |||||||
\(110\) | 0.516288 | − | 0.535862i | 0.0492261 | − | 0.0510924i | ||||
\(111\) | −1.96910 | − | 3.51597i | −0.186898 | − | 0.333721i | ||||
\(112\) | 8.82400 | + | 5.78236i | 0.833790 | + | 0.546382i | ||||
\(113\) | −4.39984 | − | 16.4204i | −0.413902 | − | 1.54470i | −0.787025 | − | 0.616922i | \(-0.788380\pi\) |
0.373122 | − | 0.927782i | \(-0.378287\pi\) | |||||||
\(114\) | −3.27985 | + | 12.5167i | −0.307186 | + | 1.17230i | ||||
\(115\) | 0.0529976 | + | 0.156126i | 0.00494205 | + | 0.0145588i | ||||
\(116\) | −6.45930 | + | 2.46419i | −0.599731 | + | 0.228794i | ||||
\(117\) | −0.107728 | + | 1.17270i | −0.00995942 | + | 0.108416i | ||||
\(118\) | −7.06289 | + | 8.36248i | −0.650192 | + | 0.769829i | ||||
\(119\) | −7.93267 | + | 1.04436i | −0.727187 | + | 0.0957360i | ||||
\(120\) | 4.13854 | − | 1.92527i | 0.377795 | − | 0.175752i | ||||
\(121\) | −10.5897 | − | 1.39416i | −0.962700 | − | 0.126742i | ||||
\(122\) | 6.97150 | + | 7.65734i | 0.631170 | + | 0.693263i | ||||
\(123\) | −1.11999 | + | 1.62964i | −0.100986 | + | 0.146940i | ||||
\(124\) | 4.45861 | + | 14.4645i | 0.400395 | + | 1.29895i | ||||
\(125\) | −7.07441 | + | 4.72697i | −0.632755 | + | 0.422793i | ||||
\(126\) | −4.36011 | + | 10.3054i | −0.388430 | + | 0.918075i | ||||
\(127\) | −10.5189 | −0.933404 | −0.466702 | − | 0.884415i | \(-0.654558\pi\) | ||||
−0.466702 | + | 0.884415i | \(0.654558\pi\) | |||||||
\(128\) | 9.80185 | − | 5.65011i | 0.866369 | − | 0.499404i | ||||
\(129\) | −2.25258 | − | 8.86911i | −0.198329 | − | 0.780881i | ||||
\(130\) | 0.0770398 | + | 0.511467i | 0.00675684 | + | 0.0448586i | ||||
\(131\) | 1.24186 | + | 18.9471i | 0.108502 | + | 1.65541i | 0.611587 | + | 0.791177i | \(0.290531\pi\) |
−0.503086 | + | 0.864236i | \(0.667802\pi\) | |||||||
\(132\) | 1.71729 | + | 0.936985i | 0.149471 | + | 0.0815541i | ||||
\(133\) | −9.18617 | − | 10.4748i | −0.796542 | − | 0.908282i | ||||
\(134\) | 2.70244 | − | 8.47595i | 0.233456 | − | 0.732210i | ||||
\(135\) | 2.79429 | + | 3.95353i | 0.240494 | + | 0.340265i | ||||
\(136\) | −2.83634 | + | 8.09812i | −0.243214 | + | 0.694408i | ||||
\(137\) | 9.94650 | − | 1.30948i | 0.849787 | − | 0.111877i | 0.306961 | − | 0.951722i | \(-0.400688\pi\) |
0.542826 | + | 0.839845i | \(0.317354\pi\) | |||||||
\(138\) | −0.359074 | + | 0.242805i | −0.0305664 | + | 0.0206690i | ||||
\(139\) | 9.98264 | + | 20.2428i | 0.846716 | + | 1.71697i | 0.682942 | + | 0.730472i | \(0.260700\pi\) |
0.163774 | + | 0.986498i | \(0.447633\pi\) | |||||||
\(140\) | −0.778859 | + | 4.85260i | −0.0658256 | + | 0.410119i | ||||
\(141\) | 0.491886 | + | 9.38357i | 0.0414243 | + | 0.790239i | ||||
\(142\) | −0.184546 | − | 9.91979i | −0.0154868 | − | 0.832450i | ||||
\(143\) | −0.156753 | + | 0.156753i | −0.0131084 | + | 0.0131084i | ||||
\(144\) | 7.75582 | + | 9.15682i | 0.646318 | + | 0.763068i | ||||
\(145\) | −2.27734 | − | 2.27734i | −0.189123 | − | 0.189123i | ||||
\(146\) | −8.95592 | + | 9.29547i | −0.741197 | + | 0.769298i | ||||
\(147\) | 0.0413491 | + | 0.0636703i | 0.00341041 | + | 0.00525144i | ||||
\(148\) | 2.43950 | − | 3.96250i | 0.200526 | − | 0.325715i | ||||
\(149\) | −2.09641 | + | 1.03384i | −0.171745 | + | 0.0846951i | −0.526129 | − | 0.850405i | \(-0.676357\pi\) |
0.354384 | + | 0.935100i | \(0.384690\pi\) | |||||||
\(150\) | −7.64617 | − | 6.63115i | −0.624307 | − | 0.541431i | ||||
\(151\) | 1.65007 | + | 12.5335i | 0.134281 | + | 1.01996i | 0.917365 | + | 0.398048i | \(0.130312\pi\) |
−0.783084 | + | 0.621916i | \(0.786354\pi\) | |||||||
\(152\) | −14.4686 | + | 3.72766i | −1.17356 | + | 0.302353i | ||||
\(153\) | −8.98894 | − | 1.42349i | −0.726713 | − | 0.115082i | ||||
\(154\) | −1.87151 | + | 0.966613i | −0.150811 | + | 0.0778919i | ||||
\(155\) | −5.30142 | + | 4.64922i | −0.425820 | + | 0.373434i | ||||
\(156\) | −1.24339 | + | 0.550536i | −0.0995511 | + | 0.0440782i | ||||
\(157\) | −12.2896 | + | 0.805504i | −0.980819 | + | 0.0642862i | −0.547369 | − | 0.836892i | \(-0.684370\pi\) |
−0.433450 | + | 0.901178i | \(0.642704\pi\) | |||||||
\(158\) | 0.502063 | + | 0.370616i | 0.0399420 | + | 0.0294846i | ||||
\(159\) | 1.18129 | − | 4.18874i | 0.0936826 | − | 0.332189i | ||||
\(160\) | 4.26825 | + | 3.09208i | 0.337435 | + | 0.244450i | ||||
\(161\) | − | 0.466724i | − | 0.0367830i | ||||||
\(162\) | −8.08419 | + | 9.83086i | −0.635154 | + | 0.772385i | ||||
\(163\) | −1.49313 | − | 2.23463i | −0.116951 | − | 0.175030i | 0.768376 | − | 0.639999i | \(-0.221065\pi\) |
−0.885327 | + | 0.464969i | \(0.846065\pi\) | |||||||
\(164\) | −2.27329 | − | 0.213624i | −0.177514 | − | 0.0166813i | ||||
\(165\) | −0.0714923 | + | 0.908537i | −0.00556567 | + | 0.0707295i | ||||
\(166\) | 15.7934 | + | 0.740435i | 1.22581 | + | 0.0574689i | ||||
\(167\) | −1.76456 | + | 13.4032i | −0.136546 | + | 1.03717i | 0.776732 | + | 0.629831i | \(0.216876\pi\) |
−0.913278 | + | 0.407337i | \(0.866457\pi\) | |||||||
\(168\) | −12.8453 | + | 1.39501i | −0.991037 | + | 0.107628i | ||||
\(169\) | 1.67673 | + | 12.7360i | 0.128979 | + | 0.979693i | ||||
\(170\) | −3.98316 | + | 0.335581i | −0.305494 | + | 0.0257379i | ||||
\(171\) | −6.63501 | − | 14.3915i | −0.507392 | − | 1.10055i | ||||
\(172\) | 7.67954 | − | 7.25751i | 0.585560 | − | 0.553380i | ||||
\(173\) | 12.5636 | − | 4.26476i | 0.955192 | − | 0.324244i | 0.200036 | − | 0.979789i | \(-0.435894\pi\) |
0.755157 | + | 0.655545i | \(0.227561\pi\) | |||||||
\(174\) | 4.19299 | − | 7.35601i | 0.317870 | − | 0.557658i | ||||
\(175\) | 10.5264 | − | 2.82054i | 0.795721 | − | 0.213213i | ||||
\(176\) | 0.0202328 | + | 2.25882i | 0.00152510 | + | 0.170265i | ||||
\(177\) | 0.175318 | − | 13.4049i | 0.0131777 | − | 1.00758i | ||||
\(178\) | −20.6456 | + | 0.384088i | −1.54745 | + | 0.0287886i | ||||
\(179\) | 4.81839 | + | 0.958437i | 0.360143 | + | 0.0716370i | 0.371846 | − | 0.928295i | \(-0.378725\pi\) |
−0.0117023 | + | 0.999932i | \(0.503725\pi\) | |||||||
\(180\) | −2.41698 | + | 5.04078i | −0.180151 | + | 0.375718i | ||||
\(181\) | −10.7495 | + | 16.0877i | −0.799003 | + | 1.19579i | 0.178306 | + | 0.983975i | \(0.442938\pi\) |
−0.977309 | + | 0.211818i | \(0.932062\pi\) | |||||||
\(182\) | 0.258885 | − | 1.44110i | 0.0191898 | − | 0.106822i | ||||
\(183\) | −12.5516 | − | 1.81975i | −0.927844 | − | 0.134519i | ||||
\(184\) | −0.446745 | − | 0.225693i | −0.0329345 | − | 0.0166383i | ||||
\(185\) | 2.14919 | + | 0.282947i | 0.158012 | + | 0.0208027i | ||||
\(186\) | −15.4703 | − | 10.2138i | −1.13434 | − | 0.748912i | ||||
\(187\) | −1.12959 | − | 1.28805i | −0.0826035 | − | 0.0941912i | ||||
\(188\) | −9.18817 | + | 5.77079i | −0.670116 | + | 0.420878i | ||||
\(189\) | −3.89280 | − | 13.1401i | −0.283160 | − | 0.955803i | ||||
\(190\) | −4.33920 | − | 5.44228i | −0.314798 | − | 0.394824i | ||||
\(191\) | 8.20211 | + | 14.2065i | 0.593484 | + | 1.02794i | 0.993759 | + | 0.111549i | \(0.0355813\pi\) |
−0.400275 | + | 0.916395i | \(0.631085\pi\) | |||||||
\(192\) | −4.87628 | + | 12.9700i | −0.351915 | + | 0.936032i | ||||
\(193\) | −2.18935 | + | 3.79206i | −0.157593 | + | 0.272958i | −0.934000 | − | 0.357273i | \(-0.883707\pi\) |
0.776407 | + | 0.630231i | \(0.217040\pi\) | |||||||
\(194\) | 16.8232 | − | 2.53400i | 1.20783 | − | 0.181930i | ||||
\(195\) | −0.470774 | − | 0.423877i | −0.0337129 | − | 0.0303545i | ||||
\(196\) | −0.0409776 | + | 0.0774965i | −0.00292697 | + | 0.00553546i | ||||
\(197\) | 1.09148 | − | 0.217109i | 0.0777646 | − | 0.0154683i | −0.156055 | − | 0.987748i | \(-0.549878\pi\) |
0.233819 | + | 0.972280i | \(0.424878\pi\) | |||||||
\(198\) | −2.35337 | + | 0.449661i | −0.167247 | + | 0.0319560i | ||||
\(199\) | 3.11448 | + | 7.51902i | 0.220780 | + | 0.533009i | 0.994996 | − | 0.0999115i | \(-0.0318560\pi\) |
−0.774217 | + | 0.632921i | \(0.781856\pi\) | |||||||
\(200\) | 2.39043 | − | 11.4397i | 0.169029 | − | 0.808911i | ||||
\(201\) | 4.03762 | + | 10.1200i | 0.284792 | + | 0.713812i | ||||
\(202\) | 16.1392 | − | 5.81548i | 1.13555 | − | 0.409176i | ||||
\(203\) | 4.03228 | + | 8.17666i | 0.283011 | + | 0.573889i | ||||
\(204\) | −3.61704 | − | 9.86679i | −0.253243 | − | 0.690814i | ||||
\(205\) | −0.341913 | − | 1.00724i | −0.0238802 | − | 0.0703489i | ||||
\(206\) | 8.17651 | − | 14.7909i | 0.569685 | − | 1.03053i | ||||
\(207\) | 0.150766 | − | 0.509021i | 0.0104789 | − | 0.0353794i | ||||
\(208\) | −1.25423 | − | 0.944674i | −0.0869649 | − | 0.0655013i | ||||
\(209\) | 0.772097 | − | 2.88151i | 0.0534071 | − | 0.199318i | ||||
\(210\) | −3.03838 | − | 5.19613i | −0.209668 | − | 0.358567i | ||||
\(211\) | −17.5518 | − | 15.3925i | −1.20832 | − | 1.05966i | −0.996605 | − | 0.0823315i | \(-0.973763\pi\) |
−0.211710 | − | 0.977332i | \(-0.567903\pi\) | |||||||
\(212\) | 4.88896 | − | 1.16306i | 0.335775 | − | 0.0798790i | ||||
\(213\) | 7.89176 | + | 9.23984i | 0.540735 | + | 0.633103i | ||||
\(214\) | 0.783474 | + | 1.12661i | 0.0535572 | + | 0.0770133i | ||||
\(215\) | 4.54769 | + | 1.88372i | 0.310150 | + | 0.128468i | ||||
\(216\) | −14.4601 | − | 2.62798i | −0.983883 | − | 0.178811i | ||||
\(217\) | 18.4410 | − | 7.63852i | 1.25186 | − | 0.518536i | ||||
\(218\) | 2.51591 | − | 3.92131i | 0.170399 | − | 0.265585i | ||||
\(219\) | 1.24016 | − | 15.7602i | 0.0838023 | − | 1.06497i | ||||
\(220\) | −0.956576 | + | 0.438593i | −0.0644923 | + | 0.0295699i | ||||
\(221\) | 1.18830 | − | 0.0778854i | 0.0799338 | − | 0.00523914i | ||||
\(222\) | 0.775071 | + | 5.64607i | 0.0520194 | + | 0.378939i | ||||
\(223\) | 13.1507 | − | 7.59257i | 0.880638 | − | 0.508436i | 0.00976897 | − | 0.999952i | \(-0.496890\pi\) |
0.870869 | + | 0.491516i | \(0.163557\pi\) | |||||||
\(224\) | −8.62762 | − | 12.1722i | −0.576457 | − | 0.813287i | ||||
\(225\) | 12.3915 | + | 0.324182i | 0.826099 | + | 0.0216121i | ||||
\(226\) | −2.69410 | + | 23.8897i | −0.179209 | + | 1.58912i | ||||
\(227\) | −2.71456 | + | 5.50459i | −0.180172 | + | 0.365352i | −0.968158 | − | 0.250341i | \(-0.919457\pi\) |
0.787986 | + | 0.615693i | \(0.211124\pi\) | |||||||
\(228\) | 10.7863 | − | 14.7820i | 0.714337 | − | 0.978965i | ||||
\(229\) | −22.1711 | − | 7.52608i | −1.46511 | − | 0.497338i | −0.528871 | − | 0.848702i | \(-0.677384\pi\) |
−0.936239 | + | 0.351365i | \(0.885718\pi\) | |||||||
\(230\) | 0.0109196 | − | 0.232914i | 0.000720016 | − | 0.0153579i | ||||
\(231\) | 1.01833 | − | 2.37031i | 0.0670012 | − | 0.155955i | ||||
\(232\) | 9.77653 | + | 0.0942950i | 0.641861 | + | 0.00619077i | ||||
\(233\) | 10.3019 | + | 4.26717i | 0.674897 | + | 0.279552i | 0.693692 | − | 0.720272i | \(-0.255983\pi\) |
−0.0187947 | + | 0.999823i | \(0.505983\pi\) | |||||||
\(234\) | 0.747865 | − | 1.48808i | 0.0488895 | − | 0.0972786i | ||||
\(235\) | −4.20274 | − | 2.80818i | −0.274156 | − | 0.183185i | ||||
\(236\) | 13.6193 | − | 7.35830i | 0.886544 | − | 0.478985i | ||||
\(237\) | −0.763239 | + | 0.0400090i | −0.0495777 | + | 0.00259886i | ||||
\(238\) | 10.9823 | + | 2.72481i | 0.711878 | + | 0.176623i | ||||
\(239\) | 17.8218 | − | 4.77534i | 1.15280 | − | 0.308891i | 0.368711 | − | 0.929544i | \(-0.379799\pi\) |
0.784085 | + | 0.620653i | \(0.213132\pi\) | |||||||
\(240\) | −6.44297 | + | 0.395637i | −0.415892 | + | 0.0255382i | ||||
\(241\) | −13.7553 | − | 3.68573i | −0.886059 | − | 0.237419i | −0.213040 | − | 0.977044i | \(-0.568336\pi\) |
−0.673020 | + | 0.739625i | \(0.735003\pi\) | |||||||
\(242\) | 13.2198 | + | 7.30803i | 0.849802 | + | 0.469778i | ||||
\(243\) | −0.000945188 | − | 15.5885i | −6.06338e−5 | − | 1.00000i | ||||
\(244\) | −5.22000 | − | 13.6830i | −0.334176 | − | 0.875966i | ||||
\(245\) | −0.0407511 | − | 0.00267097i | −0.00260350 | − | 0.000170642i | ||||
\(246\) | 2.31656 | − | 1.56645i | 0.147698 | − | 0.0998735i | ||||
\(247\) | 1.26234 | + | 1.64511i | 0.0803205 | + | 0.104676i | ||||
\(248\) | 1.60594 | − | 21.3454i | 0.101977 | − | 1.35543i | ||||
\(249\) | −15.5155 | + | 11.5862i | −0.983253 | + | 0.734248i | ||||
\(250\) | 11.7557 | − | 2.56655i | 0.743495 | − | 0.162323i | ||||
\(251\) | −12.1737 | + | 2.42149i | −0.768395 | + | 0.152843i | −0.563697 | − | 0.825982i | \(-0.690621\pi\) |
−0.204698 | + | 0.978825i | \(0.565621\pi\) | |||||||
\(252\) | 11.0655 | − | 11.3127i | 0.697059 | − | 0.712634i | ||||
\(253\) | 0.0830923 | − | 0.0555205i | 0.00522397 | − | 0.00349055i | ||||
\(254\) | 13.8471 | + | 5.43618i | 0.868847 | + | 0.341096i | ||||
\(255\) | 3.50671 | − | 3.41617i | 0.219599 | − | 0.213929i | ||||
\(256\) | −15.8232 | + | 2.37224i | −0.988948 | + | 0.148265i | ||||
\(257\) | 8.78227 | − | 15.2113i | 0.547823 | − | 0.948857i | −0.450601 | − | 0.892726i | \(-0.648790\pi\) |
0.998423 | − | 0.0561311i | \(-0.0178765\pi\) | |||||||
\(258\) | −1.61825 | + | 12.8395i | −0.100748 | + | 0.799350i | ||||
\(259\) | −5.50352 | − | 2.71403i | −0.341972 | − | 0.168642i | ||||
\(260\) | 0.162910 | − | 0.713111i | 0.0101033 | − | 0.0442253i | ||||
\(261\) | 1.75641 | + | 10.2202i | 0.108719 | + | 0.632617i | ||||
\(262\) | 8.15705 | − | 25.5838i | 0.503945 | − | 1.58057i | ||||
\(263\) | −13.9865 | + | 18.2276i | −0.862447 | + | 1.12396i | 0.128764 | + | 0.991675i | \(0.458899\pi\) |
−0.991211 | + | 0.132288i | \(0.957768\pi\) | |||||||
\(264\) | −1.77641 | − | 2.12094i | −0.109331 | − | 0.130535i | ||||
\(265\) | 1.42518 | + | 1.85733i | 0.0875483 | + | 0.114095i | ||||
\(266\) | 6.67932 | + | 18.5365i | 0.409535 | + | 1.13655i | ||||
\(267\) | 19.2304 | − | 16.4248i | 1.17688 | − | 1.00518i | ||||
\(268\) | −7.93787 | + | 9.76114i | −0.484883 | + | 0.596257i | ||||
\(269\) | −19.7408 | − | 3.92668i | −1.20362 | − | 0.239414i | −0.447761 | − | 0.894153i | \(-0.647778\pi\) |
−0.755855 | + | 0.654740i | \(0.772778\pi\) | |||||||
\(270\) | −1.63524 | − | 6.64853i | −0.0995172 | − | 0.404616i | ||||
\(271\) | 14.9319 | − | 14.9319i | 0.907050 | − | 0.907050i | −0.0889828 | − | 0.996033i | \(-0.528362\pi\) |
0.996033 | + | 0.0889828i | \(0.0283616\pi\) | |||||||
\(272\) | 7.91887 | − | 9.19458i | 0.480152 | − | 0.557503i | ||||
\(273\) | 0.876232 | + | 1.56458i | 0.0530319 | + | 0.0946927i | ||||
\(274\) | −13.7704 | − | 3.41654i | −0.831897 | − | 0.206401i | ||||
\(275\) | 1.75435 | + | 1.53852i | 0.105791 | + | 0.0927764i | ||||
\(276\) | 0.598168 | − | 0.134060i | 0.0360055 | − | 0.00806949i | ||||
\(277\) | 0.939014 | − | 14.3266i | 0.0564199 | − | 0.860801i | −0.872056 | − | 0.489407i | \(-0.837213\pi\) |
0.928475 | − | 0.371394i | \(-0.121120\pi\) | |||||||
\(278\) | −2.67972 | − | 31.8067i | −0.160719 | − | 1.90764i | ||||
\(279\) | 22.5797 | − | 2.37378i | 1.35181 | − | 0.142114i | ||||
\(280\) | 3.53311 | − | 5.98546i | 0.211144 | − | 0.357700i | ||||
\(281\) | 13.5337 | + | 10.3848i | 0.807355 | + | 0.619505i | 0.927742 | − | 0.373222i | \(-0.121747\pi\) |
−0.120387 | + | 0.992727i | \(0.538414\pi\) | |||||||
\(282\) | 4.20190 | − | 12.6068i | 0.250220 | − | 0.750722i | ||||
\(283\) | −15.6769 | − | 5.32158i | −0.931894 | − | 0.316335i | −0.186114 | − | 0.982528i | \(-0.559589\pi\) |
−0.745779 | + | 0.666193i | \(0.767923\pi\) | |||||||
\(284\) | −4.88361 | + | 13.1538i | −0.289789 | + | 0.780536i | ||||
\(285\) | 8.33844 | + | 1.77228i | 0.493926 | + | 0.104981i | ||||
\(286\) | 0.287360 | − | 0.125340i | 0.0169920 | − | 0.00741154i | ||||
\(287\) | 3.01106i | 0.177737i | ||||||||
\(288\) | −5.47755 | − | 16.0623i | −0.322768 | − | 0.946478i | ||||
\(289\) | − | 7.79695i | − | 0.458644i | ||||||
\(290\) | 1.82097 | + | 4.17482i | 0.106931 | + | 0.245154i | ||||
\(291\) | −13.9422 | + | 15.4847i | −0.817305 | + | 0.907731i | ||||
\(292\) | 16.5935 | − | 7.60817i | 0.971061 | − | 0.445234i | ||||
\(293\) | −13.7669 | − | 4.67322i | −0.804268 | − | 0.273012i | −0.111120 | − | 0.993807i | \(-0.535444\pi\) |
−0.693148 | + | 0.720795i | \(0.743777\pi\) | |||||||
\(294\) | −0.0215273 | − | 0.105185i | −0.00125550 | − | 0.00613451i | ||||
\(295\) | 5.72125 | + | 4.39007i | 0.333104 | + | 0.255600i | ||||
\(296\) | −5.25918 | + | 3.95551i | −0.305684 | + | 0.229910i | ||||
\(297\) | 1.87630 | − | 2.25617i | 0.108874 | − | 0.130916i | ||||
\(298\) | 3.29401 | − | 0.277520i | 0.190817 | − | 0.0160763i | ||||
\(299\) | −0.00454323 | + | 0.0693163i | −0.000262742 | + | 0.00400867i | ||||
\(300\) | 6.63847 | + | 12.6808i | 0.383272 | + | 0.732127i | ||||
\(301\) | −10.4762 | − | 9.18738i | −0.603838 | − | 0.529552i | ||||
\(302\) | 4.30516 | − | 17.3519i | 0.247734 | − | 0.998492i | ||||
\(303\) | −10.7423 | + | 18.0566i | −0.617127 | + | 1.03733i | ||||
\(304\) | 20.9729 | + | 2.57025i | 1.20288 | + | 0.147414i | ||||
\(305\) | 4.82419 | − | 4.82419i | 0.276232 | − | 0.276232i | ||||
\(306\) | 11.0974 | + | 6.51936i | 0.634397 | + | 0.372687i | ||||
\(307\) | −4.86736 | − | 0.968178i | −0.277795 | − | 0.0552569i | 0.0542266 | − | 0.998529i | \(-0.482731\pi\) |
−0.332022 | + | 0.943272i | \(0.607731\pi\) | |||||||
\(308\) | 2.96321 | − | 0.305256i | 0.168845 | − | 0.0173936i | ||||
\(309\) | 3.77229 | + | 20.3521i | 0.214598 | + | 1.15779i | ||||
\(310\) | 9.38152 | − | 3.38048i | 0.532835 | − | 0.191998i | ||||
\(311\) | −20.8259 | − | 27.1408i | −1.18093 | − | 1.53901i | −0.783516 | − | 0.621371i | \(-0.786576\pi\) |
−0.397410 | − | 0.917641i | \(-0.630091\pi\) | |||||||
\(312\) | 1.92132 | − | 0.0821429i | 0.108774 | − | 0.00465043i | ||||
\(313\) | −7.01485 | + | 9.14193i | −0.396503 | + | 0.516732i | −0.948356 | − | 0.317209i | \(-0.897254\pi\) |
0.551853 | + | 0.833941i | \(0.313921\pi\) | |||||||
\(314\) | 16.5944 | + | 5.29090i | 0.936475 | + | 0.298583i | ||||
\(315\) | 6.91646 | + | 2.55143i | 0.389699 | + | 0.143757i | ||||
\(316\) | −0.469384 | − | 0.747346i | −0.0264049 | − | 0.0420415i | ||||
\(317\) | 23.4891 | + | 11.5835i | 1.31928 | + | 0.650597i | 0.959307 | − | 0.282366i | \(-0.0911191\pi\) |
0.359973 | + | 0.932963i | \(0.382786\pi\) | |||||||
\(318\) | −3.71980 | + | 4.90358i | −0.208596 | + | 0.274979i | ||||
\(319\) | −0.976045 | + | 1.69056i | −0.0546480 | + | 0.0946532i | ||||
\(320\) | −4.02075 | − | 6.27625i | −0.224767 | − | 0.350853i | ||||
\(321\) | −1.61756 | − | 0.456179i | −0.0902837 | − | 0.0254614i | ||||
\(322\) | −0.241203 | + | 0.614397i | −0.0134417 | + | 0.0342390i | ||||
\(323\) | −13.3244 | + | 8.90309i | −0.741390 | + | 0.495381i | ||||
\(324\) | 15.7226 | − | 8.76347i | 0.873480 | − | 0.486860i | ||||
\(325\) | −1.59080 | + | 0.316430i | −0.0882418 | + | 0.0175524i | ||||
\(326\) | 0.810708 | + | 3.71332i | 0.0449010 | + | 0.205662i | ||||
\(327\) | 0.670751 | + | 5.66656i | 0.0370926 | + | 0.313361i | ||||
\(328\) | 2.88217 | + | 1.45605i | 0.159141 | + | 0.0803970i | ||||
\(329\) | 8.71035 | + | 11.3515i | 0.480217 | + | 0.625831i | ||||
\(330\) | 0.563644 | − | 1.15905i | 0.0310276 | − | 0.0638038i | ||||
\(331\) | −17.3304 | − | 1.13590i | −0.952567 | − | 0.0624345i | −0.418811 | − | 0.908073i | \(-0.637553\pi\) |
−0.533756 | + | 0.845639i | \(0.679220\pi\) | |||||||
\(332\) | −20.4079 | − | 9.13675i | −1.12003 | − | 0.501444i | ||||
\(333\) | −5.12557 | − | 4.73780i | −0.280880 | − | 0.259630i | ||||
\(334\) | 9.24963 | − | 16.7321i | 0.506117 | − | 0.915538i | ||||
\(335\) | −5.66139 | − | 1.51696i | −0.309315 | − | 0.0828806i | ||||
\(336\) | 17.6306 | + | 4.80205i | 0.961826 | + | 0.261973i | ||||
\(337\) | −14.3191 | + | 3.83680i | −0.780012 | + | 0.209004i | −0.626790 | − | 0.779188i | \(-0.715632\pi\) |
−0.153222 | + | 0.988192i | \(0.548965\pi\) | |||||||
\(338\) | 4.37471 | − | 17.6323i | 0.237953 | − | 0.959068i | ||||
\(339\) | −16.0368 | − | 24.6939i | −0.871000 | − | 1.34119i | ||||
\(340\) | 5.41687 | + | 1.61673i | 0.293771 | + | 0.0876797i | ||||
\(341\) | 3.55362 | + | 2.37445i | 0.192439 | + | 0.128584i | ||||
\(342\) | 1.29681 | + | 22.3740i | 0.0701236 | + | 1.20985i | ||||
\(343\) | 17.1636 | + | 7.10941i | 0.926749 | + | 0.383872i | ||||
\(344\) | −13.8601 | + | 5.58503i | −0.747284 | + | 0.301125i | ||||
\(345\) | 0.170868 | + | 0.228815i | 0.00919925 | + | 0.0123190i | ||||
\(346\) | −18.7428 | − | 0.878708i | −1.00762 | − | 0.0472396i | ||||
\(347\) | 7.00646 | + | 2.37837i | 0.376126 | + | 0.127678i | 0.503100 | − | 0.864228i | \(-0.332193\pi\) |
−0.126973 | + | 0.991906i | \(0.540526\pi\) | |||||||
\(348\) | −9.32125 | + | 7.51655i | −0.499672 | + | 0.402929i | ||||
\(349\) | 11.8298 | − | 23.9884i | 0.633233 | − | 1.28407i | −0.309620 | − | 0.950860i | \(-0.600202\pi\) |
0.942853 | − | 0.333209i | \(-0.108132\pi\) | |||||||
\(350\) | −15.3146 | − | 1.72707i | −0.818602 | − | 0.0923157i | ||||
\(351\) | 0.450236 | + | 1.98942i | 0.0240318 | + | 0.106187i | ||||
\(352\) | 1.14072 | − | 2.98398i | 0.0608008 | − | 0.159047i | ||||
\(353\) | 2.28794 | − | 1.32094i | 0.121775 | − | 0.0703068i | −0.437875 | − | 0.899036i | \(-0.644269\pi\) |
0.559650 | + | 0.828729i | \(0.310936\pi\) | |||||||
\(354\) | −7.15846 | + | 17.5557i | −0.380468 | + | 0.933076i | ||||
\(355\) | −6.52250 | + | 0.427508i | −0.346179 | + | 0.0226897i | ||||
\(356\) | 27.3764 | + | 10.1640i | 1.45095 | + | 0.538692i | ||||
\(357\) | −12.5083 | + | 5.96633i | −0.662008 | + | 0.315771i | ||||
\(358\) | −5.84763 | − | 3.75183i | −0.309057 | − | 0.198291i | ||||
\(359\) | −1.31206 | + | 0.543474i | −0.0692480 | + | 0.0286834i | −0.417039 | − | 0.908889i | \(-0.636932\pi\) |
0.347791 | + | 0.937572i | \(0.386932\pi\) | |||||||
\(360\) | 5.78679 | − | 5.38661i | 0.304991 | − | 0.283899i | ||||
\(361\) | −8.22655 | − | 3.40755i | −0.432977 | − | 0.179345i | ||||
\(362\) | 22.4648 | − | 15.6226i | 1.18072 | − | 0.821107i | ||||
\(363\) | −18.1903 | + | 3.37161i | −0.954746 | + | 0.176964i | ||||
\(364\) | −1.08556 | + | 1.76328i | −0.0568987 | + | 0.0924209i | ||||
\(365\) | 6.39365 | + | 5.60708i | 0.334659 | + | 0.293488i | ||||
\(366\) | 15.5826 | + | 8.88220i | 0.814514 | + | 0.464280i | ||||
\(367\) | 6.51071 | − | 24.2983i | 0.339856 | − | 1.26836i | −0.558652 | − | 0.829402i | \(-0.688681\pi\) |
0.898508 | − | 0.438958i | \(-0.144652\pi\) | |||||||
\(368\) | 0.471459 | + | 0.527980i | 0.0245765 | + | 0.0275229i | ||||
\(369\) | −0.972661 | + | 3.28394i | −0.0506347 | + | 0.170955i | ||||
\(370\) | −2.68298 | − | 1.48317i | −0.139481 | − | 0.0771066i | ||||
\(371\) | −2.13022 | − | 6.27543i | −0.110596 | − | 0.325804i | ||||
\(372\) | 15.0867 | + | 21.4405i | 0.782210 | + | 1.11164i | ||||
\(373\) | −1.13676 | − | 2.30511i | −0.0588590 | − | 0.119354i | 0.865456 | − | 0.500986i | \(-0.167029\pi\) |
−0.924315 | + | 0.381631i | \(0.875362\pi\) | |||||||
\(374\) | 0.821329 | + | 2.27936i | 0.0424699 | + | 0.117863i | ||||
\(375\) | −9.12336 | + | 11.5732i | −0.471128 | + | 0.597638i | ||||
\(376\) | 15.0777 | − | 2.84825i | 0.777572 | − | 0.146887i | ||||
\(377\) | −0.519268 | − | 1.25362i | −0.0267436 | − | 0.0645649i | ||||
\(378\) | −1.66631 | + | 19.3095i | −0.0857058 | + | 0.993173i | ||||
\(379\) | 4.33683 | − | 0.862650i | 0.222768 | − | 0.0443113i | −0.0824441 | − | 0.996596i | \(-0.526273\pi\) |
0.305212 | + | 0.952284i | \(0.401273\pi\) | |||||||
\(380\) | 2.89957 | + | 9.40673i | 0.148745 | + | 0.482555i | ||||
\(381\) | −17.3275 | + | 5.63029i | −0.887716 | + | 0.288448i | ||||
\(382\) | −3.45539 | − | 22.9403i | −0.176793 | − | 1.17373i | ||||
\(383\) | 14.3471 | − | 24.8500i | 0.733104 | − | 1.26977i | −0.222446 | − | 0.974945i | \(-0.571404\pi\) |
0.955550 | − | 0.294829i | \(-0.0952627\pi\) | |||||||
\(384\) | 13.1221 | − | 14.5537i | 0.669633 | − | 0.742693i | ||||
\(385\) | 0.693869 | + | 1.20182i | 0.0353628 | + | 0.0612502i | ||||
\(386\) | 4.84180 | − | 3.86043i | 0.246441 | − | 0.196491i | ||||
\(387\) | −8.45783 | − | 13.4041i | −0.429936 | − | 0.681370i | ||||
\(388\) | −23.4557 | − | 5.35845i | −1.19078 | − | 0.272034i | ||||
\(389\) | −7.99312 | − | 9.11441i | −0.405267 | − | 0.462119i | 0.512821 | − | 0.858496i | \(-0.328601\pi\) |
−0.918088 | + | 0.396377i | \(0.870267\pi\) | |||||||
\(390\) | 0.400670 | + | 0.801289i | 0.0202887 | + | 0.0405748i | ||||
\(391\) | −0.532242 | − | 0.0700710i | −0.0269166 | − | 0.00354364i | ||||
\(392\) | 0.0939932 | − | 0.0808394i | 0.00474737 | − | 0.00408301i | ||||
\(393\) | 12.1872 | + | 30.5463i | 0.614761 | + | 1.54086i | ||||
\(394\) | −1.54903 | − | 0.278273i | −0.0780389 | − | 0.0140192i | ||||
\(395\) | 0.228411 | − | 0.341842i | 0.0114926 | − | 0.0171999i | ||||
\(396\) | 3.33037 | + | 0.624285i | 0.167357 | + | 0.0313715i | ||||
\(397\) | 20.5891 | + | 4.09543i | 1.03334 | + | 0.205544i | 0.682495 | − | 0.730890i | \(-0.260895\pi\) |
0.350844 | + | 0.936434i | \(0.385895\pi\) | |||||||
\(398\) | −0.214086 | − | 11.5076i | −0.0107312 | − | 0.576825i | ||||
\(399\) | −20.7388 | − | 12.3379i | −1.03824 | − | 0.617670i | ||||
\(400\) | −9.05881 | + | 13.8239i | −0.452940 | + | 0.691196i | ||||
\(401\) | −17.7672 | + | 4.76070i | −0.887250 | + | 0.237738i | −0.673533 | − | 0.739158i | \(-0.735224\pi\) |
−0.213718 | + | 0.976895i | \(0.568557\pi\) | |||||||
\(402\) | −0.0851163 | − | 15.4087i | −0.00424521 | − | 0.768515i | ||||
\(403\) | −2.81316 | + | 0.954938i | −0.140133 | + | 0.0475688i | ||||
\(404\) | −24.2511 | − | 0.685189i | −1.20654 | − | 0.0340894i | ||||
\(405\) | 6.71910 | + | 5.01688i | 0.333875 | + | 0.249291i | ||||
\(406\) | −1.08242 | − | 12.8477i | −0.0537194 | − | 0.637619i | ||||
\(407\) | −0.171499 | − | 1.30267i | −0.00850090 | − | 0.0645707i | ||||
\(408\) | −0.337669 | + | 14.8580i | −0.0167171 | + | 0.735579i | ||||
\(409\) | −3.29303 | + | 25.0131i | −0.162830 | + | 1.23682i | 0.693526 | + | 0.720431i | \(0.256056\pi\) |
−0.856356 | + | 0.516385i | \(0.827277\pi\) | |||||||
\(410\) | −0.0704474 | + | 1.50264i | −0.00347915 | + | 0.0742101i | ||||
\(411\) | 15.6837 | − | 7.48097i | 0.773619 | − | 0.369009i | ||||
\(412\) | −18.4075 | + | 15.2451i | −0.906872 | + | 0.751073i | ||||
\(413\) | −11.3414 | − | 16.9736i | −0.558072 | − | 0.835214i | ||||
\(414\) | −0.461530 | + | 0.592162i | −0.0226830 | + | 0.0291032i | ||||
\(415\) | − | 10.4165i | − | 0.511325i | ||||||
\(416\) | 1.16286 | + | 1.89175i | 0.0570139 | + | 0.0927509i | ||||
\(417\) | 27.2791 | + | 28.0021i | 1.33586 | + | 1.37127i | ||||
\(418\) | −2.50555 | + | 3.39421i | −0.122551 | + | 0.166016i | ||||
\(419\) | 26.3787 | − | 1.72895i | 1.28868 | − | 0.0844648i | 0.594402 | − | 0.804168i | \(-0.297389\pi\) |
0.694282 | + | 0.719703i | \(0.255722\pi\) | |||||||
\(420\) | 1.31438 | + | 8.41044i | 0.0641350 | + | 0.410387i | ||||
\(421\) | −24.6805 | + | 21.6443i | −1.20286 | + | 1.05488i | −0.205769 | + | 0.978601i | \(0.565970\pi\) |
−0.997087 | + | 0.0762757i | \(0.975697\pi\) | |||||||
\(422\) | 15.1504 | + | 29.3335i | 0.737510 | + | 1.42793i | ||||
\(423\) | 5.83286 | + | 15.1940i | 0.283603 | + | 0.738758i | ||||
\(424\) | −7.03692 | − | 0.995563i | −0.341743 | − | 0.0483488i | ||||
\(425\) | −1.63612 | − | 12.4275i | −0.0793633 | − | 0.602824i | ||||
\(426\) | −5.61360 | − | 16.2418i | −0.271980 | − | 0.786918i | ||||
\(427\) | −17.3210 | + | 8.54177i | −0.838221 | + | 0.413365i | ||||
\(428\) | −0.449137 | − | 1.88797i | −0.0217099 | − | 0.0912585i | ||||
\(429\) | −0.174312 | + | 0.342118i | −0.00841589 | + | 0.0165176i | ||||
\(430\) | −5.01310 | − | 4.82998i | −0.241753 | − | 0.232922i | ||||
\(431\) | −11.2770 | − | 11.2770i | −0.543196 | − | 0.543196i | 0.381269 | − | 0.924464i | \(-0.375487\pi\) |
−0.924464 | + | 0.381269i | \(0.875487\pi\) | |||||||
\(432\) | 17.6772 | + | 10.9324i | 0.850493 | + | 0.525987i | ||||
\(433\) | −16.4467 | + | 16.4467i | −0.790379 | + | 0.790379i | −0.981556 | − | 0.191177i | \(-0.938770\pi\) |
0.191177 | + | 0.981556i | \(0.438770\pi\) | |||||||
\(434\) | −28.2234 | + | 0.525064i | −1.35477 | + | 0.0252039i | ||||
\(435\) | −4.97035 | − | 2.53244i | −0.238310 | − | 0.121421i | ||||
\(436\) | −5.33849 | + | 3.86181i | −0.255667 | + | 0.184947i | ||||
\(437\) | −0.413444 | − | 0.838381i | −0.0197777 | − | 0.0401052i | ||||
\(438\) | −9.77741 | + | 20.1058i | −0.467183 | + | 0.960694i | ||||
\(439\) | 19.4236 | − | 2.55716i | 0.927036 | − | 0.122047i | 0.348135 | − | 0.937444i | \(-0.386815\pi\) |
0.578901 | + | 0.815398i | \(0.303482\pi\) | |||||||
\(440\) | 1.48590 | − | 0.0830072i | 0.0708377 | − | 0.00395721i | ||||
\(441\) | 0.102193 | + | 0.0827500i | 0.00486633 | + | 0.00394048i | ||||
\(442\) | −1.60453 | − | 0.511585i | −0.0763199 | − | 0.0243336i | ||||
\(443\) | 6.94732 | + | 7.92190i | 0.330077 | + | 0.376381i | 0.892945 | − | 0.450166i | \(-0.148635\pi\) |
−0.562868 | + | 0.826547i | \(0.690302\pi\) | |||||||
\(444\) | 1.89758 | − | 7.83306i | 0.0900551 | − | 0.371741i | ||||
\(445\) | 0.889752 | + | 13.5750i | 0.0421783 | + | 0.643516i | ||||
\(446\) | −21.2355 | + | 3.19860i | −1.00553 | + | 0.151458i | ||||
\(447\) | −2.90000 | + | 2.82512i | −0.137165 | + | 0.133624i | ||||
\(448\) | 5.06686 | + | 20.4822i | 0.239387 | + | 0.967694i | ||||
\(449\) | 24.4160 | 1.15226 | 0.576132 | − | 0.817357i | \(-0.304562\pi\) | ||||
0.576132 | + | 0.817357i | \(0.304562\pi\) | |||||||
\(450\) | −16.1447 | − | 6.83067i | −0.761067 | − | 0.322001i | ||||
\(451\) | −0.536069 | + | 0.358190i | −0.0252425 | + | 0.0168665i | ||||
\(452\) | 15.8927 | − | 30.0562i | 0.747532 | − | 1.41373i | ||||
\(453\) | 9.42672 | + | 19.7629i | 0.442906 | + | 0.928543i | ||||
\(454\) | 6.41823 | − | 5.84338i | 0.301222 | − | 0.274243i | ||||
\(455\) | −0.956374 | − | 0.125909i | −0.0448355 | − | 0.00590270i | ||||
\(456\) | −21.8384 | + | 13.8848i | −1.02268 | + | 0.650216i | ||||
\(457\) | 27.6262 | − | 3.63706i | 1.29230 | − | 0.170135i | 0.547152 | − | 0.837033i | \(-0.315712\pi\) |
0.745149 | + | 0.666898i | \(0.232379\pi\) | |||||||
\(458\) | 25.2967 | + | 21.3654i | 1.18204 | + | 0.998339i | ||||
\(459\) | −15.5692 | + | 2.46649i | −0.726706 | + | 0.115126i | ||||
\(460\) | −0.134744 | + | 0.300966i | −0.00628249 | + | 0.0140326i | ||||
\(461\) | −11.4032 | − | 33.5926i | −0.531098 | − | 1.56457i | −0.799132 | − | 0.601156i | \(-0.794707\pi\) |
0.268034 | − | 0.963410i | \(-0.413626\pi\) | |||||||
\(462\) | −2.56551 | + | 2.59401i | −0.119358 | + | 0.120684i | ||||
\(463\) | 3.13106 | + | 11.6853i | 0.145513 | + | 0.543060i | 0.999732 | + | 0.0231478i | \(0.00736882\pi\) |
−0.854219 | + | 0.519913i | \(0.825965\pi\) | |||||||
\(464\) | −12.8211 | − | 5.17664i | −0.595206 | − | 0.240319i | ||||
\(465\) | −6.24437 | + | 10.4961i | −0.289576 | + | 0.486746i | ||||
\(466\) | −11.3561 | − | 10.9413i | −0.526063 | − | 0.506847i | ||||
\(467\) | −3.81678 | + | 19.1883i | −0.176620 | + | 0.887927i | 0.786239 | + | 0.617922i | \(0.212025\pi\) |
−0.962859 | + | 0.270005i | \(0.912975\pi\) | |||||||
\(468\) | −1.75353 | + | 1.57241i | −0.0810569 | + | 0.0726848i | ||||
\(469\) | 13.7952 | + | 9.21765i | 0.637003 | + | 0.425632i | ||||
\(470\) | 4.08123 | + | 5.86867i | 0.188253 | + | 0.270702i | ||||
\(471\) | −19.8132 | + | 7.90494i | −0.912944 | + | 0.364241i | ||||
\(472\) | −21.7313 | + | 2.64802i | −1.00027 | + | 0.121885i | ||||
\(473\) | 0.389431 | − | 2.95802i | 0.0179061 | − | 0.136010i | ||||
\(474\) | 1.02541 | + | 0.341774i | 0.0470985 | + | 0.0156982i | ||||
\(475\) | 16.4101 | − | 14.3913i | 0.752949 | − | 0.660318i | ||||
\(476\) | −13.0490 | − | 9.26260i | −0.598099 | − | 0.424551i | ||||
\(477\) | −0.296127 | − | 7.53228i | −0.0135587 | − | 0.344880i | ||||
\(478\) | −25.9286 | − | 2.92403i | −1.18595 | − | 0.133742i | ||||
\(479\) | −27.0491 | + | 15.6168i | −1.23590 | + | 0.713550i | −0.968255 | − | 0.249966i | \(-0.919580\pi\) |
−0.267650 | + | 0.963516i | \(0.586247\pi\) | |||||||
\(480\) | 8.68601 | + | 2.80890i | 0.396460 | + | 0.128208i | ||||
\(481\) | 0.790946 | + | 0.456653i | 0.0360640 | + | 0.0208216i | ||||
\(482\) | 16.2028 | + | 11.9607i | 0.738017 | + | 0.544793i | ||||
\(483\) | −0.249815 | − | 0.768821i | −0.0113670 | − | 0.0349825i | ||||
\(484\) | −13.6258 | − | 16.4523i | −0.619356 | − | 0.747833i | ||||
\(485\) | −2.18667 | − | 10.9931i | −0.0992915 | − | 0.499172i | ||||
\(486\) | −8.05486 | + | 20.5212i | −0.365376 | + | 0.930860i | ||||
\(487\) | 19.0047 | − | 7.87199i | 0.861183 | − | 0.356714i | 0.0920131 | − | 0.995758i | \(-0.470670\pi\) |
0.769170 | + | 0.639044i | \(0.220670\pi\) | |||||||
\(488\) | −0.199749 | + | 20.7101i | −0.00904223 | + | 0.937501i | ||||
\(489\) | −3.65568 | − | 2.88184i | −0.165316 | − | 0.130321i | ||||
\(490\) | 0.0522646 | + | 0.0245762i | 0.00236107 | + | 0.00111024i | ||||
\(491\) | 21.9283 | − | 10.8138i | 0.989610 | − | 0.488022i | 0.125917 | − | 0.992041i | \(-0.459813\pi\) |
0.863692 | + | 0.504019i | \(0.168146\pi\) | |||||||
\(492\) | −3.85907 | + | 0.864888i | −0.173980 | + | 0.0389922i | ||||
\(493\) | 9.92988 | − | 3.37074i | 0.447219 | − | 0.151810i | ||||
\(494\) | −0.811552 | − | 2.81800i | −0.0365134 | − | 0.126788i | ||||
\(495\) | 0.368530 | + | 1.53487i | 0.0165642 | + | 0.0689874i | ||||
\(496\) | −13.1453 | + | 27.2692i | −0.590243 | + | 1.22442i | ||||
\(497\) | 17.8728 | + | 4.78899i | 0.801703 | + | 0.214816i | ||||
\(498\) | 26.4124 | − | 7.23378i | 1.18357 | − | 0.324154i | ||||
\(499\) | 12.1687 | − | 13.8757i | 0.544746 | − | 0.621164i | −0.412318 | − | 0.911040i | \(-0.635281\pi\) |
0.957064 | + | 0.289876i | \(0.0936141\pi\) | |||||||
\(500\) | −16.8016 | − | 2.69672i | −0.751391 | − | 0.120601i | ||||
\(501\) | 4.26738 | + | 23.0232i | 0.190652 | + | 1.02860i | ||||
\(502\) | 17.2769 | + | 3.10368i | 0.771105 | + | 0.138524i | ||||
\(503\) | 11.7122 | − | 28.2758i | 0.522221 | − | 1.26075i | −0.414299 | − | 0.910141i | \(-0.635973\pi\) |
0.936520 | − | 0.350613i | \(-0.114027\pi\) | |||||||
\(504\) | −20.4130 | + | 9.17346i | −0.909269 | + | 0.408618i | ||||
\(505\) | −4.32510 | − | 10.4417i | −0.192465 | − | 0.464651i | ||||
\(506\) | −0.138076 | + | 0.0301453i | −0.00613823 | + | 0.00134012i | ||||
\(507\) | 9.57901 | + | 20.0822i | 0.425419 | + | 0.891882i | ||||
\(508\) | −15.4190 | − | 14.3124i | −0.684109 | − | 0.635010i | ||||
\(509\) | 2.30092 | + | 35.1053i | 0.101987 | + | 1.55601i | 0.675835 | + | 0.737053i | \(0.263783\pi\) |
−0.573848 | + | 0.818962i | \(0.694550\pi\) | |||||||
\(510\) | −6.38172 | + | 2.68479i | −0.282587 | + | 0.118885i | ||||
\(511\) | −12.0364 | − | 20.8476i | −0.532458 | − | 0.922245i | ||||
\(512\) | 22.0556 | + | 5.05458i | 0.974731 | + | 0.223383i | ||||
\(513\) | −18.6328 | − | 20.1553i | −0.822657 | − | 0.889880i | ||||
\(514\) | −19.4222 | + | 15.4856i | −0.856677 | + | 0.683040i | ||||
\(515\) | −9.98611 | − | 4.92460i | −0.440041 | − | 0.217004i | ||||
\(516\) | 8.76569 | − | 16.0656i | 0.385888 | − | 0.707249i | ||||
\(517\) | −0.984787 | + | 2.90109i | −0.0433109 | + | 0.127590i | ||||
\(518\) | 5.84224 | + | 6.41698i | 0.256693 | + | 0.281946i | ||||
\(519\) | 18.4129 | − | 13.7499i | 0.808238 | − | 0.603555i | ||||
\(520\) | −0.582991 | + | 0.854550i | −0.0255659 | + | 0.0374745i | ||||
\(521\) | −9.54227 | + | 23.0371i | −0.418055 | + | 1.00927i | 0.564856 | + | 0.825190i | \(0.308932\pi\) |
−0.982911 | + | 0.184084i | \(0.941068\pi\) | |||||||
\(522\) | 2.96966 | − | 14.3617i | 0.129979 | − | 0.628593i | ||||
\(523\) | −13.1817 | + | 19.7278i | −0.576396 | + | 0.862637i | −0.999047 | − | 0.0436555i | \(-0.986100\pi\) |
0.422651 | + | 0.906292i | \(0.361100\pi\) | |||||||
\(524\) | −23.9597 | + | 29.4630i | −1.04668 | + | 1.28710i | ||||
\(525\) | 15.8301 | − | 10.2805i | 0.690883 | − | 0.448677i | ||||
\(526\) | 27.8320 | − | 16.7667i | 1.21353 | − | 0.731061i | ||||
\(527\) | −5.94219 | − | 22.1765i | −0.258846 | − | 0.966026i | ||||
\(528\) | 1.24237 | + | 3.71007i | 0.0540673 | + | 0.161460i | ||||
\(529\) | −5.94473 | + | 22.1860i | −0.258467 | + | 0.964611i | ||||
\(530\) | −0.916246 | − | 3.18153i | −0.0397992 | − | 0.138197i | ||||
\(531\) | −6.88624 | − | 22.1754i | −0.298838 | − | 0.962332i | ||||
\(532\) | 0.786968 | − | 27.8534i | 0.0341194 | − | 1.20760i | ||||
\(533\) | 0.0293106 | − | 0.447193i | 0.00126958 | − | 0.0193701i | ||||
\(534\) | −33.8033 | + | 11.6833i | −1.46281 | + | 0.505587i | ||||
\(535\) | 0.717246 | − | 0.550362i | 0.0310093 | − | 0.0237942i | ||||
\(536\) | 15.4940 | − | 8.74731i | 0.669239 | − | 0.377826i | ||||
\(537\) | 8.45021 | − | 1.00025i | 0.364653 | − | 0.0431640i | ||||
\(538\) | 23.9575 | + | 15.3711i | 1.03288 | + | 0.662696i | ||||
\(539\) | 0.00482907 | + | 0.0242774i | 0.000208003 | + | 0.00104570i | ||||
\(540\) | −1.28333 | + | 9.59723i | −0.0552256 | + | 0.412999i | ||||
\(541\) | 8.40766 | + | 12.5830i | 0.361474 | + | 0.540983i | 0.966978 | − | 0.254858i | \(-0.0820288\pi\) |
−0.605505 | + | 0.795842i | \(0.707029\pi\) | |||||||
\(542\) | −27.3733 | + | 11.9396i | −1.17578 | + | 0.512851i | ||||
\(543\) | −9.09631 | + | 32.2546i | −0.390360 | + | 1.38418i | ||||
\(544\) | −15.1762 | + | 8.01131i | −0.650673 | + | 0.343482i | ||||
\(545\) | −2.65823 | − | 1.53473i | −0.113866 | − | 0.0657407i | ||||
\(546\) | −0.344900 | − | 2.51245i | −0.0147604 | − | 0.107523i | ||||
\(547\) | 12.5971 | − | 25.5444i | 0.538614 | − | 1.09220i | −0.442139 | − | 0.896947i | \(-0.645780\pi\) |
0.980753 | − | 0.195254i | \(-0.0625533\pi\) | |||||||
\(548\) | 16.3617 | + | 11.6141i | 0.698936 | + | 0.496128i | ||||
\(549\) | −21.6500 | + | 3.72069i | −0.923999 | + | 0.158795i | ||||
\(550\) | −1.51432 | − | 2.93196i | −0.0645710 | − | 0.125019i | ||||
\(551\) | 14.4865 | + | 11.1159i | 0.617145 | + | 0.473552i | ||||
\(552\) | −0.856713 | − | 0.132655i | −0.0364641 | − | 0.00564619i | ||||
\(553\) | −0.923310 | + | 0.708481i | −0.0392631 | + | 0.0301277i | ||||
\(554\) | −8.64009 | + | 18.3743i | −0.367082 | + | 0.780648i | ||||
\(555\) | 3.69175 | − | 0.684272i | 0.156706 | − | 0.0290457i | ||||
\(556\) | −12.9101 | + | 43.2553i | −0.547510 | + | 1.83443i | ||||
\(557\) | 0.394696 | − | 1.98427i | 0.0167238 | − | 0.0840763i | −0.971522 | − | 0.236949i | \(-0.923853\pi\) |
0.988246 | + | 0.152873i | \(0.0488525\pi\) | |||||||
\(558\) | −30.9508 | − | 8.54435i | −1.31025 | − | 0.361711i | ||||
\(559\) | 1.46646 | + | 1.46646i | 0.0620246 | + | 0.0620246i | ||||
\(560\) | −7.74429 | + | 6.05337i | −0.327256 | + | 0.255802i | ||||
\(561\) | −2.55016 | − | 1.51715i | −0.107668 | − | 0.0640540i | ||||
\(562\) | −12.4490 | − | 20.6648i | −0.525129 | − | 0.871693i | ||||
\(563\) | 1.03726 | − | 1.18277i | 0.0437152 | − | 0.0498477i | −0.729569 | − | 0.683907i | \(-0.760279\pi\) |
0.773284 | + | 0.634060i | \(0.218613\pi\) | |||||||
\(564\) | −12.0466 | + | 14.4241i | −0.507252 | + | 0.607362i | ||||
\(565\) | 15.8049 | + | 1.03591i | 0.664918 | + | 0.0435810i | ||||
\(566\) | 17.8869 | + | 15.1072i | 0.751843 | + | 0.635001i | ||||
\(567\) | −13.4458 | − | 19.5617i | −0.564670 | − | 0.821515i | ||||
\(568\) | 13.2267 | − | 14.7919i | 0.554979 | − | 0.620654i | ||||
\(569\) | 8.78479 | − | 11.4486i | 0.368278 | − | 0.479949i | −0.572050 | − | 0.820219i | \(-0.693852\pi\) |
0.940328 | + | 0.340270i | \(0.110518\pi\) | |||||||
\(570\) | −10.0608 | − | 6.64234i | −0.421402 | − | 0.278217i | ||||
\(571\) | 13.6436 | − | 40.1928i | 0.570967 | − | 1.68202i | −0.149697 | − | 0.988732i | \(-0.547830\pi\) |
0.720665 | − | 0.693284i | \(-0.243837\pi\) | |||||||
\(572\) | −0.443058 | + | 0.0164909i | −0.0185252 | + | 0.000689518i | ||||
\(573\) | 21.1152 | + | 19.0117i | 0.882099 | + | 0.794226i | ||||
\(574\) | 1.55611 | − | 3.96377i | 0.0649509 | − | 0.165444i | ||||
\(575\) | 0.731182 | 0.0304924 | ||||||||
\(576\) | −1.09031 | + | 23.9752i | −0.0454295 | + | 0.998968i | ||||
\(577\) | 20.5588 | 0.855873 | 0.427936 | − | 0.903809i | \(-0.359241\pi\) | ||||
0.427936 | + | 0.903809i | \(0.359241\pi\) | |||||||
\(578\) | −4.02946 | + | 10.2639i | −0.167603 | + | 0.426923i | ||||
\(579\) | −1.57674 | + | 7.41841i | −0.0655270 | + | 0.308298i | ||||
\(580\) | −0.239582 | − | 6.43683i | −0.00994812 | − | 0.267275i | ||||
\(581\) | −9.47812 | + | 27.9217i | −0.393219 | + | 1.15839i | ||||
\(582\) | 26.3560 | − | 13.1788i | 1.09249 | − | 0.546281i | ||||
\(583\) | 0.863829 | − | 1.12576i | 0.0357761 | − | 0.0466244i | ||||
\(584\) | −25.7756 | + | 1.43991i | −1.06660 | + | 0.0595838i | ||||
\(585\) | −1.00237 | − | 0.446257i | −0.0414431 | − | 0.0184505i | ||||
\(586\) | 15.7076 | + | 13.2665i | 0.648876 | + | 0.548036i | ||||
\(587\) | 33.1419 | + | 2.17223i | 1.36791 | + | 0.0896577i | 0.731579 | − | 0.681757i | \(-0.238784\pi\) |
0.636333 | + | 0.771414i | \(0.280450\pi\) | |||||||
\(588\) | −0.0260210 | + | 0.149591i | −0.00107309 | + | 0.00616903i | ||||
\(589\) | 26.3593 | − | 30.0570i | 1.08612 | − | 1.23848i | ||||
\(590\) | −5.26269 | − | 8.73584i | −0.216661 | − | 0.359649i | ||||
\(591\) | 1.68175 | − | 0.941854i | 0.0691781 | − | 0.0387427i | ||||
\(592\) | 8.96741 | − | 2.48911i | 0.368558 | − | 0.102302i | ||||
\(593\) | −15.0105 | − | 15.0105i | −0.616407 | − | 0.616407i | 0.328201 | − | 0.944608i | \(-0.393558\pi\) |
−0.944608 | + | 0.328201i | \(0.893558\pi\) | |||||||
\(594\) | −3.63595 | + | 2.00036i | −0.149185 | + | 0.0820758i | ||||
\(595\) | 1.45435 | − | 7.31151i | 0.0596226 | − | 0.299743i | ||||
\(596\) | −4.47967 | − | 1.33701i | −0.183494 | − | 0.0547662i | ||||
\(597\) | 9.15497 | + | 10.7188i | 0.374688 | + | 0.438693i | ||||
\(598\) | 0.0418034 | − | 0.0889003i | 0.00170947 | − | 0.00363540i | ||||
\(599\) | −3.95740 | + | 3.03662i | −0.161695 | + | 0.124073i | −0.686440 | − | 0.727187i | \(-0.740827\pi\) |
0.524745 | + | 0.851260i | \(0.324161\pi\) | |||||||
\(600\) | −2.18547 | − | 20.1238i | −0.0892214 | − | 0.821551i | ||||
\(601\) | −9.08501 | − | 6.97117i | −0.370585 | − | 0.284360i | 0.406633 | − | 0.913592i | \(-0.366703\pi\) |
−0.777218 | + | 0.629232i | \(0.783370\pi\) | |||||||
\(602\) | 9.04287 | + | 17.5084i | 0.368560 | + | 0.713589i | ||||
\(603\) | 12.0678 | + | 14.5093i | 0.491440 | + | 0.590864i | ||||
\(604\) | −14.6348 | + | 20.6172i | −0.595482 | + | 0.838904i | ||||
\(605\) | 4.40153 | − | 8.92542i | 0.178948 | − | 0.362870i | ||||
\(606\) | 23.4728 | − | 18.2182i | 0.953518 | − | 0.740064i | ||||
\(607\) | 33.5045 | + | 19.3438i | 1.35991 | + | 0.785142i | 0.989611 | − | 0.143771i | \(-0.0459230\pi\) |
0.370296 | + | 0.928914i | \(0.379256\pi\) | |||||||
\(608\) | −26.2805 | − | 14.2223i | −1.06582 | − | 0.576790i | ||||
\(609\) | 11.0188 | + | 11.3109i | 0.446506 | + | 0.458340i | ||||
\(610\) | −8.84372 | + | 3.85744i | −0.358072 | + | 0.156183i | ||||
\(611\) | −1.18313 | − | 1.77068i | −0.0478645 | − | 0.0716342i | ||||
\(612\) | −11.2395 | − | 14.3173i | −0.454329 | − | 0.578741i | ||||
\(613\) | −1.20306 | − | 6.04819i | −0.0485912 | − | 0.244284i | 0.948854 | − | 0.315714i | \(-0.102244\pi\) |
−0.997446 | + | 0.0714295i | \(0.977244\pi\) | |||||||
\(614\) | 5.90706 | + | 3.78996i | 0.238389 | + | 0.152950i | ||||
\(615\) | −1.10235 | − | 1.47619i | −0.0444512 | − | 0.0595259i | ||||
\(616\) | −4.05854 | − | 1.12955i | −0.163523 | − | 0.0455107i | ||||
\(617\) | 11.4375 | − | 8.77627i | 0.460455 | − | 0.353319i | −0.352338 | − | 0.935873i | \(-0.614613\pi\) |
0.812792 | + | 0.582554i | \(0.197946\pi\) | |||||||
\(618\) | 5.55209 | − | 28.7411i | 0.223338 | − | 1.15613i | ||||
\(619\) | −1.12826 | + | 17.2139i | −0.0453486 | + | 0.691885i | 0.913299 | + | 0.407290i | \(0.133526\pi\) |
−0.958648 | + | 0.284596i | \(0.908141\pi\) | |||||||
\(620\) | −14.0969 | − | 0.398293i | −0.566145 | − | 0.0159958i | ||||
\(621\) | −0.0241034 | − | 0.919194i | −0.000967237 | − | 0.0368860i | ||||
\(622\) | 13.3889 | + | 46.4910i | 0.536845 | + | 1.86412i | ||||
\(623\) | 9.96710 | − | 37.1977i | 0.399324 | − | 1.49030i | ||||
\(624\) | −2.57169 | − | 0.884806i | −0.102950 | − | 0.0354206i | ||||
\(625\) | 3.29534 | + | 12.2984i | 0.131814 | + | 0.491935i | ||||
\(626\) | 13.9589 | − | 8.40920i | 0.557911 | − | 0.336099i | ||||
\(627\) | −0.270481 | − | 5.15989i | −0.0108020 | − | 0.206066i | ||||
\(628\) | −19.1106 | − | 15.5409i | −0.762595 | − | 0.620151i | ||||
\(629\) | −3.92129 | + | 5.86863i | −0.156352 | + | 0.233998i | ||||
\(630\) | −7.78628 | − | 6.93313i | −0.310213 | − | 0.276223i | ||||
\(631\) | 8.65303 | − | 20.8903i | 0.344472 | − | 0.831629i | −0.652780 | − | 0.757547i | \(-0.726398\pi\) |
0.997252 | − | 0.0740814i | \(-0.0236024\pi\) | |||||||
\(632\) | 0.231670 | + | 1.22639i | 0.00921535 | + | 0.0487830i | ||||
\(633\) | −37.1515 | − | 15.9610i | −1.47664 | − | 0.634393i | ||||
\(634\) | −24.9348 | − | 27.3878i | −0.990287 | − | 1.08771i | ||||
\(635\) | 3.15031 | − | 9.28051i | 0.125016 | − | 0.368286i | ||||
\(636\) | 7.43092 | − | 4.53270i | 0.294655 | − | 0.179733i | ||||
\(637\) | −0.0154316 | − | 0.00761001i | −0.000611422 | − | 0.000301520i | ||||
\(638\) | 2.15855 | − | 1.72104i | 0.0854578 | − | 0.0681366i | ||||
\(639\) | 17.9455 | + | 10.9964i | 0.709914 | + | 0.435012i | ||||
\(640\) | 2.04936 | + | 10.3400i | 0.0810082 | + | 0.408725i | ||||
\(641\) | −18.4214 | − | 31.9069i | −0.727603 | − | 1.26025i | −0.957894 | − | 0.287123i | \(-0.907301\pi\) |
0.230291 | − | 0.973122i | \(-0.426032\pi\) | |||||||
\(642\) | 1.89361 | + | 1.43647i | 0.0747350 | + | 0.0566931i | ||||
\(643\) | −0.419965 | − | 6.40743i | −0.0165618 | − | 0.252684i | −0.998109 | − | 0.0614655i | \(-0.980423\pi\) |
0.981547 | − | 0.191219i | \(-0.0612441\pi\) | |||||||
\(644\) | 0.635040 | − | 0.684140i | 0.0250241 | − | 0.0269589i | ||||
\(645\) | 8.49955 | + | 0.668826i | 0.334670 | + | 0.0263350i | ||||
\(646\) | 22.1414 | − | 4.83401i | 0.871143 | − | 0.190191i | ||||
\(647\) | −16.4880 | − | 39.8056i | −0.648211 | − | 1.56492i | −0.815339 | − | 0.578984i | \(-0.803449\pi\) |
0.167128 | − | 0.985935i | \(-0.446551\pi\) | |||||||
\(648\) | −25.2263 | + | 3.41081i | −0.990983 | + | 0.133989i | ||||
\(649\) | 1.67271 | − | 4.03828i | 0.0656597 | − | 0.158517i | ||||
\(650\) | 2.25767 | + | 0.405576i | 0.0885531 | + | 0.0159080i | ||||
\(651\) | 26.2888 | − | 22.4533i | 1.03034 | − | 0.880015i | ||||
\(652\) | 0.851825 | − | 5.30720i | 0.0333600 | − | 0.207846i | ||||
\(653\) | −7.07060 | + | 8.06248i | −0.276694 | + | 0.315509i | −0.873450 | − | 0.486914i | \(-0.838123\pi\) |
0.596756 | + | 0.802423i | \(0.296456\pi\) | |||||||
\(654\) | 2.04549 | − | 7.80612i | 0.0799852 | − | 0.305243i | ||||
\(655\) | −17.0883 | − | 4.57880i | −0.667696 | − | 0.178909i | ||||
\(656\) | −3.04161 | − | 3.40625i | −0.118755 | − | 0.132992i | ||||
\(657\) | −6.39280 | − | 26.6251i | −0.249407 | − | 1.03874i | ||||
\(658\) | −5.59986 | − | 19.4447i | −0.218305 | − | 0.758034i | ||||
\(659\) | −22.3104 | + | 7.57334i | −0.869088 | + | 0.295016i | −0.720139 | − | 0.693829i | \(-0.755922\pi\) |
−0.148948 | + | 0.988845i | \(0.547589\pi\) | |||||||
\(660\) | −1.34098 | + | 1.23449i | −0.0521977 | + | 0.0480525i | ||||
\(661\) | 3.56798 | − | 1.75953i | 0.138778 | − | 0.0684379i | −0.371574 | − | 0.928403i | \(-0.621182\pi\) |
0.510352 | + | 0.859966i | \(0.329515\pi\) | |||||||
\(662\) | 22.2268 | + | 10.4517i | 0.863870 | + | 0.406215i | ||||
\(663\) | 1.91577 | − | 0.764340i | 0.0744022 | − | 0.0296845i | ||||
\(664\) | 22.1431 | + | 22.5744i | 0.859320 | + | 0.876058i | ||||
\(665\) | 11.9928 | − | 4.96756i | 0.465059 | − | 0.192634i | ||||
\(666\) | 4.29883 | + | 8.88575i | 0.166576 | + | 0.344316i | ||||
\(667\) | 0.119336 | + | 0.599941i | 0.00462070 | + | 0.0232298i | ||||
\(668\) | −20.8234 | + | 17.2459i | −0.805680 | + | 0.667265i | ||||
\(669\) | 17.5989 | − | 19.5460i | 0.680411 | − | 0.755692i | ||||
\(670\) | 6.66870 | + | 4.92274i | 0.257634 | + | 0.190182i | ||||
\(671\) | −3.58119 | − | 2.06760i | −0.138250 | − | 0.0798188i | ||||
\(672\) | −20.7272 | − | 15.4329i | −0.799570 | − | 0.595337i | ||||
\(673\) | 3.14464 | − | 1.81556i | 0.121217 | − | 0.0699846i | −0.438166 | − | 0.898894i | \(-0.644372\pi\) |
0.559382 | + | 0.828910i | \(0.311038\pi\) | |||||||
\(674\) | 20.8326 | + | 2.34934i | 0.802441 | + | 0.0904933i | ||||
\(675\) | 20.5857 | − | 6.09857i | 0.792343 | − | 0.234734i | ||||
\(676\) | −14.8712 | + | 20.9503i | −0.571970 | + | 0.805781i | ||||
\(677\) | 26.8903 | − | 23.5821i | 1.03348 | − | 0.906335i | 0.0378057 | − | 0.999285i | \(-0.487963\pi\) |
0.995671 | + | 0.0929506i | \(0.0296299\pi\) | |||||||
\(678\) | 8.34914 | + | 40.7949i | 0.320647 | + | 1.56672i | ||||
\(679\) | −4.14140 | + | 31.4571i | −0.158932 | + | 1.20721i | ||||
\(680\) | −6.29526 | − | 4.92771i | −0.241412 | − | 0.188969i | ||||
\(681\) | −1.52527 | + | 10.5205i | −0.0584486 | + | 0.403148i | ||||
\(682\) | −3.45088 | − | 4.96224i | −0.132141 | − | 0.190014i | ||||
\(683\) | −13.1170 | − | 8.76449i | −0.501907 | − | 0.335364i | 0.278708 | − | 0.960376i | \(-0.410094\pi\) |
−0.780615 | + | 0.625012i | \(0.785094\pi\) | |||||||
\(684\) | 9.85576 | − | 30.1234i | 0.376844 | − | 1.15180i | ||||
\(685\) | −1.82356 | + | 9.16766i | −0.0696746 | + | 0.350278i | ||||
\(686\) | −18.9201 | − | 18.2290i | −0.722374 | − | 0.695987i | ||||
\(687\) | −40.5502 | − | 0.530340i | −1.54709 | − | 0.0202337i | ||||
\(688\) | 21.1318 | − | 0.189282i | 0.805641 | − | 0.00721630i | ||||
\(689\) | 0.255287 | + | 0.952744i | 0.00972566 | + | 0.0362966i | ||||
\(690\) | −0.106680 | − | 0.389517i | −0.00406125 | − | 0.0148287i | ||||
\(691\) | 12.9588 | + | 38.1753i | 0.492975 | + | 1.45226i | 0.854281 | + | 0.519811i | \(0.173998\pi\) |
−0.361306 | + | 0.932447i | \(0.617669\pi\) | |||||||
\(692\) | 24.2190 | + | 10.8430i | 0.920666 | + | 0.412189i | ||||
\(693\) | 0.408752 | − | 4.44960i | 0.0155272 | − | 0.169027i | ||||
\(694\) | −7.99419 | − | 6.75183i | −0.303455 | − | 0.256296i | ||||
\(695\) | −20.8493 | + | 2.74486i | −0.790857 | + | 0.104118i | ||||
\(696\) | 16.1551 | − | 5.07759i | 0.612357 | − | 0.192466i | ||||
\(697\) | 3.43375 | + | 0.452062i | 0.130062 | + | 0.0171231i | ||||
\(698\) | −27.9699 | + | 25.4648i | −1.05868 | + | 0.963857i | ||||
\(699\) | 19.2540 | + | 1.51509i | 0.728252 | + | 0.0573058i | ||||
\(700\) | 19.2677 | + | 10.1881i | 0.728250 | + | 0.385075i | ||||
\(701\) | −22.0014 | + | 14.7008i | −0.830980 | + | 0.555243i | −0.896722 | − | 0.442594i | \(-0.854058\pi\) |
0.0657426 | + | 0.997837i | \(0.479058\pi\) | |||||||
\(702\) | 0.435440 | − | 2.85156i | 0.0164346 | − | 0.107625i | ||||
\(703\) | −12.2902 | −0.463535 | ||||||||
\(704\) | −3.04377 | + | 3.33860i | −0.114717 | + | 0.125828i | ||||
\(705\) | −8.42614 | − | 2.37631i | −0.317347 | − | 0.0894969i | ||||
\(706\) | −3.69452 | + | 0.556488i | −0.139045 | + | 0.0209437i | ||||
\(707\) | 2.09246 | + | 31.9248i | 0.0786952 | + | 1.20066i | ||||
\(708\) | 18.4962 | − | 19.4109i | 0.695130 | − | 0.729507i | ||||
\(709\) | −33.4024 | − | 38.0882i | −1.25446 | − | 1.43043i | −0.859023 | − | 0.511936i | \(-0.828928\pi\) |
−0.395432 | − | 0.918495i | \(-0.629405\pi\) | |||||||
\(710\) | 8.80718 | + | 2.80805i | 0.330528 | + | 0.105384i | ||||
\(711\) | −1.23585 | + | 0.474432i | −0.0463479 | + | 0.0177926i | ||||
\(712\) | −30.7857 | − | 27.5281i | −1.15374 | − | 1.03166i | ||||
\(713\) | 1.32778 | − | 0.174806i | 0.0497259 | − | 0.00654654i | ||||
\(714\) | 19.5493 | − | 1.38982i | 0.731615 | − | 0.0520128i | ||||
\(715\) | −0.0913524 | − | 0.185244i | −0.00341638 | − | 0.00692774i | ||||
\(716\) | 5.75889 | + | 7.96098i | 0.215220 | + | 0.297516i | ||||
\(717\) | 26.8013 | − | 17.4055i | 1.00091 | − | 0.650019i | ||||
\(718\) | 2.00807 | − | 0.0373578i | 0.0749405 | − | 0.00139418i | ||||
\(719\) | −5.69716 | + | 5.69716i | −0.212468 | + | 0.212468i | −0.805315 | − | 0.592847i | \(-0.798004\pi\) |
0.592847 | + | 0.805315i | \(0.298004\pi\) | |||||||
\(720\) | −10.4016 | + | 4.10034i | −0.387643 | + | 0.152811i | ||||
\(721\) | 22.2871 | + | 22.2871i | 0.830014 | + | 0.830014i | ||||
\(722\) | 9.06844 | + | 8.73719i | 0.337493 | + | 0.325165i | ||||
\(723\) | −24.6316 | + | 1.29119i | −0.916058 | + | 0.0480197i | ||||
\(724\) | −37.6465 | + | 8.95589i | −1.39912 | + | 0.332843i | ||||
\(725\) | −12.8098 | + | 6.31708i | −0.475743 | + | 0.234611i | ||||
\(726\) | 25.6883 | + | 4.96236i | 0.953382 | + | 0.184171i | ||||
\(727\) | −3.58095 | − | 27.2001i | −0.132810 | − | 1.00879i | −0.919954 | − | 0.392025i | \(-0.871775\pi\) |
0.787144 | − | 0.616769i | \(-0.211559\pi\) | |||||||
\(728\) | 2.34029 | − | 1.76017i | 0.0867370 | − | 0.0652363i | ||||
\(729\) | −8.34533 | − | 25.6779i | −0.309086 | − | 0.951034i | ||||
\(730\) | −5.51889 | − | 10.6854i | −0.204263 | − | 0.395485i | ||||
\(731\) | −12.0499 | + | 10.5675i | −0.445683 | + | 0.390853i | ||||
\(732\) | −15.9226 | − | 19.7456i | −0.588518 | − | 0.729820i | ||||
\(733\) | 10.1217 | − | 0.663413i | 0.373855 | − | 0.0245037i | 0.122682 | − | 0.992446i | \(-0.460850\pi\) |
0.251173 | + | 0.967942i | \(0.419184\pi\) | |||||||
\(734\) | −21.1281 | + | 28.6216i | −0.779851 | + | 1.05644i | ||||
\(735\) | −0.0685579 | + | 0.0174124i | −0.00252879 | + | 0.000642265i | ||||
\(736\) | −0.347770 | − | 0.938685i | −0.0128190 | − | 0.0346004i | ||||
\(737\) | 3.55252i | 0.130859i | ||||||||
\(738\) | 2.97755 | − | 3.82032i | 0.109605 | − | 0.140628i | ||||
\(739\) | 14.3935 | + | 21.5413i | 0.529472 | + | 0.792411i | 0.995737 | − | 0.0922343i | \(-0.0294009\pi\) |
−0.466266 | + | 0.884645i | \(0.654401\pi\) | |||||||
\(740\) | 2.76538 | + | 3.33902i | 0.101657 | + | 0.122745i | ||||
\(741\) | 2.95996 | + | 2.03427i | 0.108737 | + | 0.0747308i | ||||
\(742\) | −0.438909 | + | 9.36190i | −0.0161129 | + | 0.343686i | ||||
\(743\) | −6.06114 | + | 46.0389i | −0.222362 | + | 1.68901i | 0.408221 | + | 0.912883i | \(0.366149\pi\) |
−0.630583 | + | 0.776122i | \(0.717184\pi\) | |||||||
\(744\) | −8.77975 | − | 36.0212i | −0.321881 | − | 1.32060i | ||||
\(745\) | −0.284267 | − | 2.15922i | −0.0104147 | − | 0.0791077i | ||||
\(746\) | 0.305148 | + | 3.62193i | 0.0111723 | + | 0.132608i | ||||
\(747\) | −19.3566 | + | 27.3904i | −0.708222 | + | 1.00216i | ||||
\(748\) | 0.0967702 | − | 3.42501i | 0.00353827 | − | 0.125231i | ||||
\(749\) | −2.42338 | + | 0.822628i | −0.0885485 | + | 0.0300582i | ||||
\(750\) | 17.9910 | − | 10.5201i | 0.656940 | − | 0.384139i | ||||
\(751\) | −32.9125 | + | 8.81887i | −1.20099 | + | 0.321805i | −0.803222 | − | 0.595679i | \(-0.796883\pi\) |
−0.397771 | + | 0.917485i | \(0.630216\pi\) | |||||||
\(752\) | −21.3203 | − | 4.04270i | −0.777471 | − | 0.147422i | ||||
\(753\) | −18.7572 | + | 10.5049i | −0.683551 | + | 0.382818i | ||||
\(754\) | 0.0356939 | + | 1.91863i | 0.00129990 | + | 0.0698724i | ||||
\(755\) | −11.5521 | − | 2.29786i | −0.420424 | − | 0.0836276i | ||||
\(756\) | 12.1727 | − | 24.5579i | 0.442716 | − | 0.893163i | ||||
\(757\) | −5.15487 | + | 7.71480i | −0.187357 | + | 0.280399i | −0.913243 | − | 0.407416i | \(-0.866430\pi\) |
0.725886 | + | 0.687815i | \(0.241430\pi\) | |||||||
\(758\) | −6.15484 | − | 1.10568i | −0.223554 | − | 0.0401600i | ||||
\(759\) | 0.107158 | − | 0.135933i | 0.00388959 | − | 0.00493405i | ||||
\(760\) | 1.04439 | − | 13.8815i | 0.0378841 | − | 0.503537i | ||||
\(761\) | 17.8876 | + | 2.35495i | 0.648425 | + | 0.0853668i | 0.447563 | − | 0.894253i | \(-0.352292\pi\) |
0.200863 | + | 0.979619i | \(0.435625\pi\) | |||||||
\(762\) | 25.7197 | + | 1.54313i | 0.931728 | + | 0.0559017i | ||||
\(763\) | 5.72899 | + | 6.53266i | 0.207403 | + | 0.236498i | ||||
\(764\) | −7.30685 | + | 31.9844i | −0.264353 | + | 1.15716i | ||||
\(765\) | 3.94799 | − | 7.50434i | 0.142740 | − | 0.271320i | ||||
\(766\) | −31.7291 | + | 25.2980i | −1.14642 | + | 0.914054i | ||||
\(767\) | 1.51916 | + | 2.63126i | 0.0548536 | + | 0.0950093i | ||||
\(768\) | −24.7953 | + | 12.3771i | −0.894723 | + | 0.446621i | ||||
\(769\) | 7.94861 | − | 13.7674i | 0.286634 | − | 0.496465i | −0.686370 | − | 0.727253i | \(-0.740797\pi\) |
0.973004 | + | 0.230787i | \(0.0741302\pi\) | |||||||
\(770\) | −0.292313 | − | 1.94067i | −0.0105342 | − | 0.0699368i | ||||
\(771\) | 6.32487 | − | 29.7579i | 0.227784 | − | 1.07171i | ||||
\(772\) | −8.36883 | + | 2.57964i | −0.301201 | + | 0.0928433i | ||||
\(773\) | 33.4460 | − | 6.65283i | 1.20297 | − | 0.239286i | 0.447388 | − | 0.894340i | \(-0.352354\pi\) |
0.755582 | + | 0.655054i | \(0.227354\pi\) | |||||||
\(774\) | 4.20667 | + | 22.0162i | 0.151206 | + | 0.791358i | ||||
\(775\) | 11.9667 | + | 28.8902i | 0.429857 | + | 1.03777i | ||||
\(776\) | 28.1079 | + | 19.1758i | 1.00901 | + | 0.688370i | ||||
\(777\) | −10.5185 | − | 1.52498i | −0.377348 | − | 0.0547083i | ||||
\(778\) | 5.81185 | + | 16.1291i | 0.208365 | + | 0.578255i | ||||
\(779\) | 2.66732 | + | 5.40880i | 0.0955668 | + | 0.193790i | ||||
\(780\) | −0.113337 | − | 1.26189i | −0.00405812 | − | 0.0451828i | ||||
\(781\) | 1.27351 | + | 3.75163i | 0.0455697 | + | 0.134244i | ||||
\(782\) | 0.664433 | + | 0.367304i | 0.0237601 | + | 0.0131348i | ||||
\(783\) | 8.36370 | + | 15.8954i | 0.298894 | + | 0.568054i | ||||
\(784\) | −0.165511 | + | 0.0578417i | −0.00591110 | + | 0.00206578i | ||||
\(785\) | 2.96994 | − | 11.0840i | 0.106002 | − | 0.395604i | ||||
\(786\) | −0.256915 | − | 46.5095i | −0.00916385 | − | 1.65894i | ||||
\(787\) | −8.76085 | − | 7.68306i | −0.312291 | − | 0.273872i | 0.488824 | − | 0.872382i | \(-0.337426\pi\) |
−0.801115 | + | 0.598511i | \(0.795759\pi\) | |||||||
\(788\) | 1.89533 | + | 1.16686i | 0.0675185 | + | 0.0415675i | ||||
\(789\) | −13.2832 | + | 37.5122i | −0.472896 | + | 1.33547i | ||||
\(790\) | −0.477345 | + | 0.331959i | −0.0169832 | + | 0.0118106i | ||||
\(791\) | −41.4230 | − | 17.1579i | −1.47283 | − | 0.610066i | ||||
\(792\) | −4.06148 | − | 2.54294i | −0.144318 | − | 0.0903595i | ||||
\(793\) | 2.65561 | − | 1.09999i | 0.0943033 | − | 0.0390617i | ||||
\(794\) | −24.9871 | − | 16.0317i | −0.886759 | − | 0.568944i | ||||
\(795\) | 3.34181 | + | 2.29670i | 0.118522 | + | 0.0814556i | ||||
\(796\) | −5.66531 | + | 15.2593i | −0.200802 | + | 0.540852i | ||||
\(797\) | −42.6265 | + | 2.79389i | −1.50991 | + | 0.0989647i | −0.797722 | − | 0.603025i | \(-0.793962\pi\) |
−0.712187 | + | 0.701989i | \(0.752295\pi\) | |||||||
\(798\) | 20.9244 | + | 26.9595i | 0.740715 | + | 0.954356i | ||||
\(799\) | 14.2528 | − | 8.22885i | 0.504227 | − | 0.291116i | ||||
\(800\) | 19.0692 | − | 13.5163i | 0.674200 | − | 0.477872i | ||||
\(801\) | 22.8864 | − | 37.3492i | 0.808650 | − | 1.31967i | ||||
\(802\) | 25.8491 | + | 2.91507i | 0.912763 | + | 0.102935i | ||||
\(803\) | 2.27975 | − | 4.62287i | 0.0804505 | − | 0.163138i | ||||
\(804\) | −7.85115 | + | 20.3280i | −0.276889 | + | 0.716914i | ||||
\(805\) | 0.411775 | + | 0.139779i | 0.0145132 | + | 0.00492656i | ||||
\(806\) | 4.19676 | + | 0.196754i | 0.147825 | + | 0.00693038i | ||||
\(807\) | −34.6202 | + | 4.09799i | −1.21869 | + | 0.144256i | ||||
\(808\) | 31.5701 | + | 13.4349i | 1.11063 | + | 0.472639i | ||||
\(809\) | 22.6536 | + | 9.38344i | 0.796459 | + | 0.329904i | 0.743537 | − | 0.668695i | \(-0.233147\pi\) |
0.0529217 | + | 0.998599i | \(0.483147\pi\) | |||||||
\(810\) | −6.25232 | − | 10.0767i | −0.219684 | − | 0.354058i | ||||
\(811\) | 35.9215 | + | 24.0020i | 1.26137 | + | 0.842824i | 0.992724 | − | 0.120414i | \(-0.0384222\pi\) |
0.268651 | + | 0.963238i | \(0.413422\pi\) | |||||||
\(812\) | −5.21477 | + | 17.4721i | −0.183003 | + | 0.613151i | ||||
\(813\) | 16.6046 | − | 32.5893i | 0.582348 | − | 1.14296i | ||||
\(814\) | −0.447455 | + | 1.80346i | −0.0156833 | + | 0.0632114i | ||||
\(815\) | 2.41872 | − | 0.648094i | 0.0847240 | − | 0.0227017i | ||||
\(816\) | 8.12310 | − | 19.3846i | 0.284365 | − | 0.678596i | ||||
\(817\) | −26.9571 | − | 7.22313i | −0.943110 | − | 0.252705i | ||||
\(818\) | 17.2617 | − | 31.2255i | 0.603541 | − | 1.09177i | ||||
\(819\) | 2.28084 | + | 2.10828i | 0.0796989 | + | 0.0736693i | ||||
\(820\) | 0.869301 | − | 1.94167i | 0.0303573 | − | 0.0678062i | ||||
\(821\) | −25.4077 | − | 1.66531i | −0.886736 | − | 0.0581198i | −0.384776 | − | 0.923010i | \(-0.625721\pi\) |
−0.501961 | + | 0.864890i | \(0.667388\pi\) | |||||||
\(822\) | −24.5122 | + | 1.74265i | −0.854962 | + | 0.0607819i | ||||
\(823\) | 6.69532 | + | 8.72551i | 0.233384 | + | 0.304152i | 0.895333 | − | 0.445397i | \(-0.146937\pi\) |
−0.661949 | + | 0.749549i | \(0.730271\pi\) | |||||||
\(824\) | 32.1104 | − | 10.5557i | 1.11862 | − | 0.367726i | ||||
\(825\) | 3.71339 | + | 1.59534i | 0.129284 | + | 0.0555428i | ||||
\(826\) | 6.15789 | + | 28.2053i | 0.214260 | + | 0.981387i | ||||
\(827\) | 45.2212 | − | 8.99506i | 1.57250 | − | 0.312789i | 0.669624 | − | 0.742700i | \(-0.266455\pi\) |
0.902871 | + | 0.429911i | \(0.141455\pi\) | |||||||
\(828\) | 0.913589 | − | 0.541005i | 0.0317494 | − | 0.0188012i | ||||
\(829\) | 9.83039 | − | 6.56846i | 0.341424 | − | 0.228132i | −0.373023 | − | 0.927822i | \(-0.621679\pi\) |
0.714446 | + | 0.699690i | \(0.246679\pi\) | |||||||
\(830\) | −5.38323 | + | 13.7123i | −0.186855 | + | 0.475960i | ||||
\(831\) | −6.12154 | − | 24.1024i | −0.212354 | − | 0.836102i | ||||
\(832\) | −0.553134 | − | 3.09128i | −0.0191765 | − | 0.107171i | ||||
\(833\) | 0.0664850 | − | 0.115155i | 0.00230357 | − | 0.00398990i | ||||
\(834\) | −21.4388 | − | 50.9599i | −0.742367 | − | 1.76460i | ||||
\(835\) | −11.2967 | − | 5.57093i | −0.390939 | − | 0.192790i | ||||
\(836\) | 5.05244 | − | 3.17328i | 0.174742 | − | 0.109750i | ||||
\(837\) | 35.9244 | − | 15.9961i | 1.24173 | − | 0.552907i | ||||
\(838\) | −35.6185 | − | 11.3565i | −1.23042 | − | 0.392304i | ||||
\(839\) | 8.64618 | − | 11.2679i | 0.298499 | − | 0.389012i | −0.619891 | − | 0.784688i | \(-0.712823\pi\) |
0.918390 | + | 0.395676i | \(0.129490\pi\) | |||||||
\(840\) | 2.61626 | − | 11.7508i | 0.0902695 | − | 0.405441i | ||||
\(841\) | 10.3802 | + | 13.5277i | 0.357937 | + | 0.466473i | ||||
\(842\) | 43.6753 | − | 15.7377i | 1.50515 | − | 0.542356i | ||||
\(843\) | 27.8522 | + | 9.86262i | 0.959282 | + | 0.339687i | ||||
\(844\) | −4.78449 | − | 46.4445i | −0.164689 | − | 1.59868i | ||||
\(845\) | −11.7387 | − | 2.33498i | −0.403825 | − | 0.0803257i | ||||
\(846\) | 0.173865 | − | 23.0159i | 0.00597759 | − | 0.791302i | ||||
\(847\) | −19.9198 | + | 19.9198i | −0.684453 | + | 0.684453i | ||||
\(848\) | 8.74891 | + | 4.94724i | 0.300439 | + | 0.169889i | ||||
\(849\) | −28.6725 | − | 0.374995i | −0.984037 | − | 0.0128698i | ||||
\(850\) | −4.26876 | + | 17.2052i | −0.146417 | + | 0.590134i | ||||
\(851\) | −0.309546 | − | 0.271464i | −0.0106111 | − | 0.00930567i | ||||
\(852\) | −1.00400 | + | 24.2819i | −0.0343966 | + | 0.831884i | ||||
\(853\) | 2.32353 | − | 35.4502i | 0.0795562 | − | 1.21379i | −0.752307 | − | 0.658813i | \(-0.771059\pi\) |
0.831863 | − | 0.554980i | \(-0.187274\pi\) | |||||||
\(854\) | 27.2158 | − | 2.29293i | 0.931305 | − | 0.0784625i | ||||
\(855\) | 14.6843 | − | 1.54374i | 0.502192 | − | 0.0527948i | ||||
\(856\) | −0.384456 | + | 2.71744i | −0.0131404 | + | 0.0928803i | ||||
\(857\) | −23.2118 | − | 17.8110i | −0.792899 | − | 0.608413i | 0.130854 | − | 0.991402i | \(-0.458228\pi\) |
−0.923753 | + | 0.382989i | \(0.874895\pi\) | |||||||
\(858\) | 0.406272 | − | 0.360280i | 0.0138699 | − | 0.0122998i | ||||
\(859\) | 17.2932 | + | 5.87024i | 0.590035 | + | 0.200290i | 0.600459 | − | 0.799656i | \(-0.294985\pi\) |
−0.0104236 | + | 0.999946i | \(0.503318\pi\) | |||||||
\(860\) | 4.10313 | + | 8.94897i | 0.139915 | + | 0.305157i | ||||
\(861\) | 1.61168 | + | 4.96003i | 0.0549258 | + | 0.169037i | ||||
\(862\) | 9.01716 | + | 20.6731i | 0.307126 | + | 0.704128i | ||||
\(863\) | − | 16.3502i | − | 0.556569i | −0.960499 | − | 0.278284i | \(-0.910234\pi\) | ||
0.960499 | − | 0.278284i | \(-0.0897657\pi\) | |||||||
\(864\) | −17.6204 | − | 23.5270i | −0.599458 | − | 0.800406i | ||||
\(865\) | 12.3617i | 0.420311i | ||||||||
\(866\) | 30.1502 | − | 13.1509i | 1.02454 | − | 0.446884i | ||||
\(867\) | −4.17334 | − | 12.8437i | −0.141734 | − | 0.436195i | ||||
\(868\) | 37.4247 | + | 13.8946i | 1.27028 | + | 0.471615i | ||||
\(869\) | −0.235968 | − | 0.0801005i | −0.00800468 | − | 0.00271722i | ||||
\(870\) | 5.23422 | + | 5.90239i | 0.177457 | + | 0.200110i | ||||
\(871\) | −1.95909 | − | 1.50326i | −0.0663813 | − | 0.0509361i | ||||
\(872\) | 9.02338 | − | 2.32477i | 0.305570 | − | 0.0787266i | ||||
\(873\) | −14.6783 | + | 32.9702i | −0.496785 | + | 1.11587i | ||||
\(874\) | 0.110984 | + | 1.31732i | 0.00375409 | + | 0.0445589i | ||||
\(875\) | −1.46767 | + | 22.3923i | −0.0496162 | + | 0.756997i | ||||
\(876\) | 23.2617 | − | 21.4144i | 0.785940 | − | 0.723527i | ||||
\(877\) | 9.46462 | + | 8.30025i | 0.319598 | + | 0.280280i | 0.804080 | − | 0.594522i | \(-0.202659\pi\) |
−0.484482 | + | 0.874801i | \(0.660992\pi\) | |||||||
\(878\) | −26.8908 | − | 6.67183i | −0.907520 | − | 0.225163i | ||||
\(879\) | −25.1791 | − | 0.329307i | −0.849270 | − | 0.0111073i | ||||
\(880\) | −1.99895 | − | 0.658644i | −0.0673845 | − | 0.0222029i | ||||
\(881\) | 2.63740 | − | 2.63740i | 0.0888564 | − | 0.0888564i | −0.661281 | − | 0.750138i | \(-0.729987\pi\) |
0.750138 | + | 0.661281i | \(0.229987\pi\) | |||||||
\(882\) | −0.0917618 | − | 0.161746i | −0.00308978 | − | 0.00544626i | ||||
\(883\) | 22.6537 | + | 4.50609i | 0.762357 | + | 0.151642i | 0.560932 | − | 0.827862i | \(-0.310443\pi\) |
0.201425 | + | 0.979504i | \(0.435443\pi\) | |||||||
\(884\) | 1.84783 | + | 1.50268i | 0.0621492 | + | 0.0505404i | ||||
\(885\) | 11.7742 | + | 4.16932i | 0.395787 | + | 0.140150i | ||||
\(886\) | −5.05144 | − | 14.0188i | −0.169707 | − | 0.470971i | ||||
\(887\) | −5.35234 | − | 6.97530i | −0.179714 | − | 0.234208i | 0.694806 | − | 0.719197i | \(-0.255490\pi\) |
−0.874520 | + | 0.484989i | \(0.838823\pi\) | |||||||
\(888\) | −6.54610 | + | 9.33080i | −0.219673 | + | 0.313121i | ||||
\(889\) | −16.8890 | + | 22.0102i | −0.566438 | + | 0.738197i | ||||
\(890\) | 5.84427 | − | 18.3300i | 0.195901 | − | 0.614422i | ||||
\(891\) | 1.88315 | − | 4.72082i | 0.0630879 | − | 0.158153i | ||||
\(892\) | 29.6075 | + | 6.76384i | 0.991333 | + | 0.226470i | ||||
\(893\) | 25.7022 | + | 12.6749i | 0.860091 | + | 0.424150i | ||||
\(894\) | 5.27758 | − | 2.22028i | 0.176509 | − | 0.0742573i | ||||
\(895\) | −2.28866 | + | 3.96407i | −0.0765013 | + | 0.132504i | ||||
\(896\) | 3.91517 | − | 29.5814i | 0.130797 | − | 0.988246i | ||||
\(897\) | 0.0296178 | + | 0.116615i | 0.000988911 | + | 0.00389365i | ||||
\(898\) | −32.1413 | − | 12.6182i | −1.07257 | − | 0.421074i | ||||
\(899\) | −21.7516 | + | 14.5339i | −0.725456 | + | 0.484734i | ||||
\(900\) | 17.7228 | + | 17.3355i | 0.590760 | + | 0.577849i | ||||
\(901\) | −7.47619 | + | 1.48711i | −0.249068 | + | 0.0495427i | ||||
\(902\) | 0.890795 | − | 0.194482i | 0.0296602 | − | 0.00647554i | ||||
\(903\) | −22.1747 | − | 9.52669i | −0.737928 | − | 0.317028i | ||||
\(904\) | −36.4543 | + | 31.3528i | −1.21245 | + | 1.04278i | ||||
\(905\) | −10.9743 | − | 14.3020i | −0.364799 | − | 0.475416i | ||||
\(906\) | −2.19590 | − | 30.8877i | −0.0729540 | − | 1.02618i | ||||
\(907\) | −26.0575 | − | 1.70790i | −0.865225 | − | 0.0567098i | −0.373676 | − | 0.927559i | \(-0.621903\pi\) |
−0.491550 | + | 0.870850i | \(0.663569\pi\) | |||||||
\(908\) | −11.4688 | + | 4.37530i | −0.380607 | + | 0.145199i | ||||
\(909\) | −8.03057 | + | 35.4940i | −0.266357 | + | 1.17726i | ||||
\(910\) | 1.19390 | + | 0.660001i | 0.0395775 | + | 0.0218788i | ||||
\(911\) | 11.4565 | + | 3.06976i | 0.379571 | + | 0.101706i | 0.443560 | − | 0.896245i | \(-0.353715\pi\) |
−0.0639885 | + | 0.997951i | \(0.520382\pi\) | |||||||
\(912\) | 35.9238 | − | 6.99193i | 1.18956 | − | 0.231526i | ||||
\(913\) | −6.09848 | + | 1.63408i | −0.201830 | + | 0.0540803i | ||||
\(914\) | −38.2469 | − | 9.48938i | −1.26510 | − | 0.313881i | ||||
\(915\) | 5.36459 | − | 10.5289i | 0.177348 | − | 0.348075i | ||||
\(916\) | −22.2590 | − | 41.1988i | −0.735458 | − | 1.36125i | ||||
\(917\) | 41.6394 | + | 27.8226i | 1.37505 | + | 0.918782i | ||||
\(918\) | 21.7700 | + | 4.79923i | 0.718516 | + | 0.158398i | ||||
\(919\) | 49.6203 | + | 20.5534i | 1.63682 | + | 0.677995i | 0.995972 | − | 0.0896692i | \(-0.0285810\pi\) |
0.640853 | + | 0.767664i | \(0.278581\pi\) | |||||||
\(920\) | 0.332917 | − | 0.326556i | 0.0109759 | − | 0.0107662i | ||||
\(921\) | −8.53609 | + | 1.01042i | −0.281274 | + | 0.0332944i | ||||
\(922\) | −2.34950 | + | 50.1146i | −0.0773765 | + | 1.65044i | ||||
\(923\) | −2.60779 | − | 0.885224i | −0.0858364 | − | 0.0291375i | ||||
\(924\) | 4.71783 | − | 2.08891i | 0.155205 | − | 0.0687200i | ||||
\(925\) | 4.25188 | − | 8.62196i | 0.139801 | − | 0.283488i | ||||
\(926\) | 1.91721 | − | 17.0007i | 0.0630033 | − | 0.558676i | ||||
\(927\) | 17.1075 | + | 31.5063i | 0.561884 | + | 1.03480i | ||||
\(928\) | 14.2025 | + | 13.4405i | 0.466220 | + | 0.441206i | ||||
\(929\) | −3.46106 | + | 1.99824i | −0.113554 | + | 0.0655603i | −0.555701 | − | 0.831382i | \(-0.687550\pi\) |
0.442147 | + | 0.896942i | \(0.354217\pi\) | |||||||
\(930\) | 13.6445 | − | 10.5901i | 0.447421 | − | 0.347262i | ||||
\(931\) | 0.231043 | − | 0.0151434i | 0.00757214 | − | 0.000496304i | ||||
\(932\) | 9.29479 | + | 20.2720i | 0.304461 | + | 0.664032i | ||||
\(933\) | −48.8330 | − | 33.5611i | −1.59872 | − | 1.09874i | ||||
\(934\) | 14.9409 | − | 23.2870i | 0.488882 | − | 0.761974i | ||||
\(935\) | 1.47470 | − | 0.610841i | 0.0482278 | − | 0.0199766i | ||||
\(936\) | 3.12098 | − | 1.16371i | 0.102012 | − | 0.0380369i | ||||
\(937\) | −54.2139 | − | 22.4562i | −1.77109 | − | 0.733611i | −0.994636 | − | 0.103440i | \(-0.967015\pi\) |
−0.776457 | − | 0.630171i | \(-0.782985\pi\) | |||||||
\(938\) | −13.3964 | − | 19.2635i | −0.437407 | − | 0.628976i | ||||
\(939\) | −6.66212 | + | 18.8140i | −0.217410 | + | 0.613971i | ||||
\(940\) | −2.33962 | − | 9.83472i | −0.0763101 | − | 0.320773i | ||||
\(941\) | −26.1370 | − | 22.9215i | −0.852042 | − | 0.747221i | 0.117258 | − | 0.993101i | \(-0.462589\pi\) |
−0.969300 | + | 0.245881i | \(0.920923\pi\) | |||||||
\(942\) | 30.1674 | − | 0.166642i | 0.982908 | − | 0.00542950i | ||||
\(943\) | −0.0522884 | + | 0.195143i | −0.00170274 | + | 0.00635472i | ||||
\(944\) | 29.9757 | + | 7.74487i | 0.975625 | + | 0.252074i | ||||
\(945\) | 12.7590 | + | 0.500836i | 0.415049 | + | 0.0162922i | ||||
\(946\) | −2.04135 | + | 3.69270i | −0.0663702 | + | 0.120060i | ||||
\(947\) | −2.73623 | − | 8.06067i | −0.0889155 | − | 0.261937i | 0.893372 | − | 0.449318i | \(-0.148333\pi\) |
−0.982287 | + | 0.187382i | \(0.940000\pi\) | |||||||
\(948\) | −1.17322 | − | 0.979842i | −0.0381045 | − | 0.0318238i | ||||
\(949\) | 1.58467 | + | 3.21339i | 0.0514405 | + | 0.104311i | ||||
\(950\) | −29.0398 | + | 10.4640i | −0.942175 | + | 0.339497i | ||||
\(951\) | 44.8931 | + | 6.50863i | 1.45576 | + | 0.211057i | ||||
\(952\) | 12.3908 | + | 18.9370i | 0.401589 | + | 0.613753i | ||||
\(953\) | 12.7651 | + | 30.8176i | 0.413502 | + | 0.998281i | 0.984190 | + | 0.177115i | \(0.0566764\pi\) |
−0.570688 | + | 0.821167i | \(0.693324\pi\) | |||||||
\(954\) | −3.50286 | + | 10.0686i | −0.113409 | + | 0.325982i | ||||
\(955\) | −14.9904 | + | 2.98177i | −0.485077 | + | 0.0964877i | ||||
\(956\) | 32.6213 | + | 17.2491i | 1.05505 | + | 0.557875i | ||||
\(957\) | −0.702934 | + | 3.30724i | −0.0227226 | + | 0.106908i | ||||
\(958\) | 43.6783 | − | 6.57905i | 1.41118 | − | 0.212560i | ||||
\(959\) | 13.2299 | − | 22.9149i | 0.427216 | − | 0.739960i | ||||
\(960\) | −9.98265 | − | 8.18658i | −0.322189 | − | 0.264221i | ||||
\(961\) | 13.1377 | + | 22.7552i | 0.423798 | + | 0.734040i | ||||
\(962\) | −0.805206 | − | 1.00990i | −0.0259609 | − | 0.0325605i | ||||
\(963\) | −2.90874 | + | 0.114355i | −0.0937328 | + | 0.00368505i | ||||
\(964\) | −15.1481 | − | 24.1187i | −0.487889 | − | 0.776810i | ||||
\(965\) | −2.68993 | − | 3.06727i | −0.0865918 | − | 0.0987390i | ||||
\(966\) | −0.0684685 | + | 1.14118i | −0.00220294 | + | 0.0367169i | ||||
\(967\) | 33.4756 | + | 4.40714i | 1.07650 | + | 0.141724i | 0.647867 | − | 0.761753i | \(-0.275661\pi\) |
0.428635 | + | 0.903478i | \(0.358995\pi\) | |||||||
\(968\) | 9.43454 | + | 28.6997i | 0.303238 | + | 0.922444i | ||||
\(969\) | −17.1835 | + | 21.7977i | −0.552015 | + | 0.700245i | ||||
\(970\) | −2.80271 | + | 15.6015i | −0.0899894 | + | 0.500933i | ||||
\(971\) | 11.2946 | − | 16.9035i | 0.362460 | − | 0.542460i | −0.604757 | − | 0.796410i | \(-0.706730\pi\) |
0.967217 | + | 0.253950i | \(0.0817298\pi\) | |||||||
\(972\) | 21.2088 | − | 22.8514i | 0.680272 | − | 0.732959i | ||||
\(973\) | 58.3846 | + | 11.6134i | 1.87172 | + | 0.372309i | ||||
\(974\) | −29.0860 | + | 0.541112i | −0.931977 | + | 0.0173384i | ||||
\(975\) | −2.45111 | + | 1.37273i | −0.0784985 | + | 0.0439625i | ||||
\(976\) | 10.9659 | − | 27.1596i | 0.351010 | − | 0.869357i | ||||
\(977\) | −27.7401 | + | 7.43294i | −0.887485 | + | 0.237801i | −0.673634 | − | 0.739066i | \(-0.735267\pi\) |
−0.213851 | + | 0.976866i | \(0.568601\pi\) | |||||||
\(978\) | 3.32302 | + | 5.68292i | 0.106259 | + | 0.181720i | ||||
\(979\) | 7.80810 | − | 2.65049i | 0.249548 | − | 0.0847101i | ||||
\(980\) | −0.0561003 | − | 0.0593626i | −0.00179206 | − | 0.00189627i | ||||
\(981\) | 4.13795 | + | 8.97533i | 0.132115 | + | 0.286560i | ||||
\(982\) | −34.4551 | + | 2.90284i | −1.09951 | + | 0.0926334i | ||||
\(983\) | 0.971644 | + | 7.38037i | 0.0309906 | + | 0.235397i | 0.999929 | − | 0.0119045i | \(-0.00378942\pi\) |
−0.968938 | + | 0.247302i | \(0.920456\pi\) | |||||||
\(984\) | 5.52707 | + | 0.855824i | 0.176196 | + | 0.0272827i | ||||
\(985\) | −0.135338 | + | 1.02800i | −0.00431224 | + | 0.0327547i | ||||
\(986\) | −14.8137 | − | 0.694503i | −0.471765 | − | 0.0221175i | ||||
\(987\) | 20.4243 | + | 14.0368i | 0.650111 | + | 0.446798i | ||||
\(988\) | −0.388011 | + | 4.12903i | −0.0123443 | + | 0.131362i | ||||
\(989\) | −0.519406 | − | 0.777346i | −0.0165162 | − | 0.0247182i | ||||
\(990\) | 0.308088 | − | 2.21097i | 0.00979168 | − | 0.0702692i | ||||
\(991\) | − | 41.0658i | − | 1.30450i | −0.758005 | − | 0.652249i | \(-0.773826\pi\) | ||
0.758005 | − | 0.652249i | \(-0.226174\pi\) | |||||||
\(992\) | 31.3973 | − | 29.1037i | 0.996864 | − | 0.924044i | ||||
\(993\) | −29.1559 | + | 7.40504i | −0.925236 | + | 0.234992i | ||||
\(994\) | −21.0528 | − | 15.5409i | −0.667755 | − | 0.492927i | ||||
\(995\) | −7.56654 | + | 0.495937i | −0.239876 | + | 0.0157223i | ||||
\(996\) | −38.5078 | − | 4.12733i | −1.22017 | − | 0.130779i | ||||
\(997\) | −0.782475 | + | 0.686212i | −0.0247812 | + | 0.0217325i | −0.671647 | − | 0.740871i | \(-0.734413\pi\) |
0.646866 | + | 0.762604i | \(0.276079\pi\) | |||||||
\(998\) | −23.1899 | + | 11.9773i | −0.734064 | + | 0.379135i | ||||
\(999\) | −10.9791 | − | 5.06096i | −0.347364 | − | 0.160122i |
(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 | 576.2.bm.a.13.12 | ✓ | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.205.52 | yes | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.517.52 | yes | 1504 | |
576.133 | even | 48 | inner | 576.2.bm.a.133.12 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.12 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.133.12 | yes | 1504 | 576.133 | even | 48 | inner | |
576.2.bm.a.205.52 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.517.52 | yes | 1504 | 64.5 | even | 16 | inner |