Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(701,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.701");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.bu (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 827.7 | ||
Character | \(\chi\) | \(=\) | 1386.827 |
Dual form | 1386.2.bu.b.1205.7 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | −0.411682 | + | 0.133764i | −0.184110 | + | 0.0598209i | −0.399621 | − | 0.916680i | \(-0.630858\pi\) |
0.215511 | + | 0.976501i | \(0.430858\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.587785 | + | 0.809017i | −0.222162 | + | 0.305780i | ||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 0.432868i | − | 0.136885i | ||||||
\(11\) | 0.137335 | − | 3.31378i | 0.0414080 | − | 0.999142i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.34433 | − | 0.436798i | −0.372849 | − | 0.121146i | 0.116598 | − | 0.993179i | \(-0.462801\pi\) |
−0.489447 | + | 0.872033i | \(0.662801\pi\) | |||||||
\(14\) | −0.587785 | − | 0.809017i | −0.157092 | − | 0.216219i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.223592 | + | 0.688147i | 0.0542291 | + | 0.166900i | 0.974503 | − | 0.224375i | \(-0.0720341\pi\) |
−0.920274 | + | 0.391275i | \(0.872034\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.54176 | + | 4.87481i | 0.812534 | + | 1.11836i | 0.990927 | + | 0.134398i | \(0.0429102\pi\) |
−0.178393 | + | 0.983959i | \(0.557090\pi\) | |||||||
\(20\) | 0.411682 | + | 0.133764i | 0.0920549 | + | 0.0299105i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.10915 | + | 1.15463i | 0.662874 | + | 0.246167i | ||||
\(23\) | 1.67094i | 0.348415i | 0.984709 | + | 0.174207i | \(0.0557363\pi\) | ||||
−0.984709 | + | 0.174207i | \(0.944264\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.89350 | + | 2.82879i | −0.778699 | + | 0.565758i | ||||
\(26\) | 0.830839 | − | 1.14355i | 0.162941 | − | 0.224269i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.951057 | − | 0.309017i | 0.179733 | − | 0.0583987i | ||||
\(29\) | −0.367221 | − | 0.266802i | −0.0681913 | − | 0.0495439i | 0.553167 | − | 0.833070i | \(-0.313419\pi\) |
−0.621359 | + | 0.783526i | \(0.713419\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.99876 | + | 6.15157i | −0.358989 | + | 1.10485i | 0.594672 | + | 0.803969i | \(0.297282\pi\) |
−0.953660 | + | 0.300885i | \(0.902718\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.723560 | −0.124090 | ||||||||
\(35\) | 0.133764 | − | 0.411682i | 0.0226102 | − | 0.0695870i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.85544 | + | 4.98077i | 1.12703 | + | 0.818833i | 0.985259 | − | 0.171067i | \(-0.0547214\pi\) |
0.141768 | + | 0.989900i | \(0.454721\pi\) | |||||||
\(38\) | −5.73068 | + | 1.86201i | −0.929639 | + | 0.302058i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.254434 | + | 0.350198i | −0.0402295 | + | 0.0553711i | ||||
\(41\) | −1.35607 | + | 0.985240i | −0.211782 | + | 0.153869i | −0.688620 | − | 0.725123i | \(-0.741783\pi\) |
0.476838 | + | 0.878991i | \(0.341783\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.52992i | 0.843304i | 0.906758 | + | 0.421652i | \(0.138550\pi\) | ||||
−0.906758 | + | 0.421652i | \(0.861450\pi\) | |||||||
\(44\) | −2.05890 | + | 2.60018i | −0.310390 | + | 0.391992i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.58916 | − | 0.516349i | −0.234309 | − | 0.0761315i | ||||
\(47\) | −2.88658 | − | 3.97304i | −0.421051 | − | 0.579527i | 0.544819 | − | 0.838553i | \(-0.316598\pi\) |
−0.965870 | + | 0.259027i | \(0.916598\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.309017 | − | 0.951057i | −0.0441453 | − | 0.135865i | ||||
\(50\) | −1.48718 | − | 4.57708i | −0.210319 | − | 0.647297i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.830839 | + | 1.14355i | 0.115217 | + | 0.158582i | ||||
\(53\) | −0.253858 | − | 0.0824836i | −0.0348701 | − | 0.0113300i | 0.291530 | − | 0.956562i | \(-0.405836\pi\) |
−0.326400 | + | 0.945232i | \(0.605836\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.386725 | + | 1.38259i | 0.0521460 | + | 0.186429i | ||||
\(56\) | 1.00000i | 0.133631i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.367221 | − | 0.266802i | 0.0482185 | − | 0.0350328i | ||||
\(59\) | −3.56050 | + | 4.90061i | −0.463538 | + | 0.638005i | −0.975238 | − | 0.221159i | \(-0.929016\pi\) |
0.511700 | + | 0.859164i | \(0.329016\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.756954 | − | 0.245949i | 0.0969180 | − | 0.0314906i | −0.260157 | − | 0.965566i | \(-0.583774\pi\) |
0.357075 | + | 0.934076i | \(0.383774\pi\) | |||||||
\(62\) | −5.23283 | − | 3.80188i | −0.664571 | − | 0.482839i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | 0.611863 | 0.0758922 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.680521 | −0.0831388 | −0.0415694 | − | 0.999136i | \(-0.513236\pi\) | ||||
−0.0415694 | + | 0.999136i | \(0.513236\pi\) | |||||||
\(68\) | 0.223592 | − | 0.688147i | 0.0271146 | − | 0.0834501i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.350198 | + | 0.254434i | 0.0418566 | + | 0.0304106i | ||||
\(71\) | −2.38456 | + | 0.774789i | −0.282995 | + | 0.0919505i | −0.447075 | − | 0.894496i | \(-0.647534\pi\) |
0.164080 | + | 0.986447i | \(0.447534\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.78008 | + | 5.20283i | −0.442424 | + | 0.608945i | −0.970749 | − | 0.240098i | \(-0.922821\pi\) |
0.528324 | + | 0.849043i | \(0.322821\pi\) | |||||||
\(74\) | −6.85544 | + | 4.98077i | −0.796929 | + | 0.579003i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 6.02559i | − | 0.691183i | ||||||
\(77\) | 2.60018 | + | 2.05890i | 0.296318 | + | 0.234633i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.90957 | − | 1.92014i | −0.664879 | − | 0.216032i | −0.0429156 | − | 0.999079i | \(-0.513665\pi\) |
−0.621963 | + | 0.783046i | \(0.713665\pi\) | |||||||
\(80\) | −0.254434 | − | 0.350198i | −0.0284465 | − | 0.0391533i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.517971 | − | 1.59415i | −0.0572004 | − | 0.176045i | ||||
\(83\) | −1.83539 | − | 5.64875i | −0.201460 | − | 0.620031i | −0.999840 | − | 0.0178769i | \(-0.994309\pi\) |
0.798380 | − | 0.602154i | \(-0.205691\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.184098 | − | 0.253389i | −0.0199682 | − | 0.0274839i | ||||
\(86\) | −5.25926 | − | 1.70884i | −0.567121 | − | 0.184269i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.83668 | − | 2.76163i | −0.195791 | − | 0.294391i | ||||
\(89\) | 8.71973i | 0.924290i | 0.886804 | + | 0.462145i | \(0.152920\pi\) | ||||
−0.886804 | + | 0.462145i | \(0.847080\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.14355 | − | 0.830839i | 0.119877 | − | 0.0870956i | ||||
\(92\) | 0.982154 | − | 1.35182i | 0.102397 | − | 0.140937i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.67058 | − | 1.51756i | 0.481734 | − | 0.156525i | ||||
\(95\) | −2.11015 | − | 1.53311i | −0.216497 | − | 0.157294i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.31870 | + | 16.3693i | −0.540032 | + | 1.66205i | 0.192485 | + | 0.981300i | \(0.438345\pi\) |
−0.732517 | + | 0.680748i | \(0.761655\pi\) | |||||||
\(98\) | 1.00000 | 0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.81263 | 0.481263 | ||||||||
\(101\) | −4.14377 | + | 12.7532i | −0.412321 | + | 1.26899i | 0.502305 | + | 0.864691i | \(0.332485\pi\) |
−0.914626 | + | 0.404302i | \(0.867515\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 12.8354 | + | 9.32547i | 1.26471 | + | 0.918866i | 0.998979 | − | 0.0451806i | \(-0.0143863\pi\) |
0.265732 | + | 0.964047i | \(0.414386\pi\) | |||||||
\(104\) | −1.34433 | + | 0.436798i | −0.131822 | + | 0.0428316i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.156893 | − | 0.215945i | 0.0152388 | − | 0.0209744i | ||||
\(107\) | −7.57351 | + | 5.50248i | −0.732159 | + | 0.531945i | −0.890246 | − | 0.455481i | \(-0.849467\pi\) |
0.158087 | + | 0.987425i | \(0.449467\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 6.97485i | 0.668070i | 0.942561 | + | 0.334035i | \(0.108410\pi\) | ||||
−0.942561 | + | 0.334035i | \(0.891590\pi\) | |||||||
\(110\) | −1.43443 | − | 0.0594480i | −0.136768 | − | 0.00566814i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.951057 | − | 0.309017i | −0.0898664 | − | 0.0291994i | ||||
\(113\) | −2.72804 | − | 3.75483i | −0.256633 | − | 0.353225i | 0.661188 | − | 0.750221i | \(-0.270053\pi\) |
−0.917820 | + | 0.396996i | \(0.870053\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.223511 | − | 0.687896i | −0.0208425 | − | 0.0641466i | ||||
\(116\) | 0.140266 | + | 0.431695i | 0.0130234 | + | 0.0400818i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.56050 | − | 4.90061i | −0.327771 | − | 0.451138i | ||||
\(119\) | −0.688147 | − | 0.223592i | −0.0630823 | − | 0.0204967i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.9623 | − | 0.910196i | −0.996571 | − | 0.0827451i | ||||
\(122\) | 0.795908i | 0.0720581i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 5.23283 | − | 3.80188i | 0.469922 | − | 0.341419i | ||||
\(125\) | 2.49666 | − | 3.43636i | 0.223308 | − | 0.307357i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.68429 | − | 2.49678i | 0.681870 | − | 0.221553i | 0.0524563 | − | 0.998623i | \(-0.483295\pi\) |
0.629414 | + | 0.777070i | \(0.283295\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.189076 | + | 0.581916i | −0.0165831 | + | 0.0510374i | ||||
\(131\) | −0.661431 | −0.0577895 | −0.0288947 | − | 0.999582i | \(-0.509199\pi\) | ||||
−0.0288947 | + | 0.999582i | \(0.509199\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.02559 | −0.522485 | ||||||||
\(134\) | 0.210292 | − | 0.647213i | 0.0181665 | − | 0.0559107i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.585373 | + | 0.425298i | 0.0501953 | + | 0.0364690i | ||||
\(137\) | 10.8993 | − | 3.54141i | 0.931194 | − | 0.302563i | 0.196143 | − | 0.980575i | \(-0.437158\pi\) |
0.735051 | + | 0.678012i | \(0.237158\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.78786 | − | 6.58993i | 0.406101 | − | 0.558950i | −0.556161 | − | 0.831075i | \(-0.687726\pi\) |
0.962262 | + | 0.272124i | \(0.0877262\pi\) | |||||||
\(140\) | −0.350198 | + | 0.254434i | −0.0295971 | + | 0.0215036i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 2.50727i | − | 0.210405i | ||||||
\(143\) | −1.63208 | + | 4.39481i | −0.136481 | + | 0.367513i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.186867 | + | 0.0607167i | 0.0155184 | + | 0.00504225i | ||||
\(146\) | −3.78008 | − | 5.20283i | −0.312841 | − | 0.430589i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.61854 | − | 8.05905i | −0.215243 | − | 0.662450i | ||||
\(149\) | 0.933277 | + | 2.87233i | 0.0764570 | + | 0.235310i | 0.981979 | − | 0.188988i | \(-0.0605207\pi\) |
−0.905522 | + | 0.424298i | \(0.860521\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.7274 | − | 16.1414i | −0.954365 | − | 1.31357i | −0.949561 | − | 0.313582i | \(-0.898471\pi\) |
−0.00480401 | − | 0.999988i | \(-0.501529\pi\) | |||||||
\(152\) | 5.73068 | + | 1.86201i | 0.464820 | + | 0.151029i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.76163 | + | 1.83668i | −0.222538 | + | 0.148004i | ||||
\(155\) | − | 2.79985i | − | 0.224890i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.07214 | − | 2.95858i | 0.324992 | − | 0.236120i | −0.413311 | − | 0.910590i | \(-0.635628\pi\) |
0.738303 | + | 0.674470i | \(0.235628\pi\) | |||||||
\(158\) | 3.65232 | − | 5.02698i | 0.290563 | − | 0.399925i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.411682 | − | 0.133764i | 0.0325463 | − | 0.0105749i | ||||
\(161\) | −1.35182 | − | 0.982154i | −0.106538 | − | 0.0774045i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.630871 | + | 1.94162i | −0.0494136 | + | 0.152079i | −0.972719 | − | 0.231988i | \(-0.925477\pi\) |
0.923305 | + | 0.384067i | \(0.125477\pi\) | |||||||
\(164\) | 1.67619 | 0.130889 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.93945 | 0.460991 | ||||||||
\(167\) | 7.44237 | − | 22.9052i | 0.575908 | − | 1.77246i | −0.0571602 | − | 0.998365i | \(-0.518205\pi\) |
0.633068 | − | 0.774096i | \(-0.281795\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.90080 | − | 6.46681i | −0.684677 | − | 0.497447i | ||||
\(170\) | 0.297877 | − | 0.0967861i | 0.0228461 | − | 0.00742315i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.25040 | − | 4.47380i | 0.247841 | − | 0.341124i | ||||
\(173\) | −4.45955 | + | 3.24005i | −0.339053 | + | 0.246336i | −0.744262 | − | 0.667888i | \(-0.767199\pi\) |
0.405209 | + | 0.914224i | \(0.367199\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 4.81263i | − | 0.363800i | ||||||
\(176\) | 3.19403 | − | 0.893401i | 0.240759 | − | 0.0673426i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.29296 | − | 2.69455i | −0.621584 | − | 0.201965i | ||||
\(179\) | −1.19340 | − | 1.64257i | −0.0891988 | − | 0.122772i | 0.762085 | − | 0.647477i | \(-0.224176\pi\) |
−0.851284 | + | 0.524705i | \(0.824176\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.37496 | + | 7.30936i | 0.176529 | + | 0.543300i | 0.999700 | − | 0.0244931i | \(-0.00779718\pi\) |
−0.823171 | + | 0.567794i | \(0.807797\pi\) | |||||||
\(182\) | 0.436798 | + | 1.34433i | 0.0323776 | + | 0.0996481i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.982154 | + | 1.35182i | 0.0724053 | + | 0.0996574i | ||||
\(185\) | −3.48851 | − | 1.13349i | −0.256480 | − | 0.0833355i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.31107 | − | 0.646430i | 0.169002 | − | 0.0472716i | ||||
\(188\) | 4.91094i | 0.358167i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.11015 | − | 1.53311i | 0.153086 | − | 0.111224i | ||||
\(191\) | −10.2920 | + | 14.1658i | −0.744705 | + | 1.02500i | 0.253630 | + | 0.967301i | \(0.418376\pi\) |
−0.998334 | + | 0.0576964i | \(0.981624\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.2410 | + | 3.97734i | −0.881125 | + | 0.286295i | −0.714425 | − | 0.699712i | \(-0.753311\pi\) |
−0.166701 | + | 0.986008i | \(0.553311\pi\) | |||||||
\(194\) | −13.9245 | − | 10.1168i | −0.999724 | − | 0.726342i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.309017 | + | 0.951057i | −0.0220726 | + | 0.0679326i | ||||
\(197\) | 25.5195 | 1.81819 | 0.909093 | − | 0.416593i | \(-0.136776\pi\) | ||||
0.909093 | + | 0.416593i | \(0.136776\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 23.8285 | 1.68916 | 0.844579 | − | 0.535431i | \(-0.179851\pi\) | ||||
0.844579 | + | 0.535431i | \(0.179851\pi\) | |||||||
\(200\) | −1.48718 | + | 4.57708i | −0.105160 | + | 0.323648i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −10.8485 | − | 7.88192i | −0.763300 | − | 0.554570i | ||||
\(203\) | 0.431695 | − | 0.140266i | 0.0302990 | − | 0.00984475i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.426479 | − | 0.586998i | 0.0297866 | − | 0.0409977i | ||||
\(206\) | −12.8354 | + | 9.32547i | −0.894286 | + | 0.649737i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 1.41351i | − | 0.0980091i | ||||||
\(209\) | 16.6404 | − | 11.0671i | 1.15104 | − | 0.765528i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.0322 | − | 6.18394i | −1.31023 | − | 0.425720i | −0.431102 | − | 0.902303i | \(-0.641875\pi\) |
−0.879129 | + | 0.476583i | \(0.841875\pi\) | |||||||
\(212\) | 0.156893 | + | 0.215945i | 0.0107755 | + | 0.0148312i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.89282 | − | 8.90319i | −0.197749 | − | 0.608610i | ||||
\(215\) | −0.739702 | − | 2.27657i | −0.0504473 | − | 0.155261i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.80188 | − | 5.23283i | −0.258088 | − | 0.355228i | ||||
\(218\) | −6.63348 | − | 2.15535i | −0.449276 | − | 0.145979i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.499802 | − | 1.34585i | 0.0336966 | − | 0.0907375i | ||||
\(221\) | − | 1.02276i | − | 0.0687982i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.0938 | − | 8.78667i | 0.809862 | − | 0.588399i | −0.103929 | − | 0.994585i | \(-0.533141\pi\) |
0.913790 | + | 0.406186i | \(0.133141\pi\) | |||||||
\(224\) | 0.587785 | − | 0.809017i | 0.0392731 | − | 0.0540547i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.41407 | − | 1.43422i | 0.293619 | − | 0.0954027i | ||||
\(227\) | 9.53312 | + | 6.92622i | 0.632736 | + | 0.459709i | 0.857347 | − | 0.514739i | \(-0.172111\pi\) |
−0.224611 | + | 0.974448i | \(0.572111\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.70338 | + | 8.32013i | −0.178644 | + | 0.549810i | −0.999781 | − | 0.0209211i | \(-0.993340\pi\) |
0.821137 | + | 0.570731i | \(0.193340\pi\) | |||||||
\(230\) | 0.723297 | 0.0476928 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.453910 | −0.0298007 | ||||||||
\(233\) | −6.44626 | + | 19.8396i | −0.422309 | + | 1.29973i | 0.483239 | + | 0.875488i | \(0.339460\pi\) |
−0.905548 | + | 0.424244i | \(0.860540\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.71980 | + | 1.24951i | 0.112187 | + | 0.0815090i | ||||
\(236\) | 5.76102 | − | 1.87187i | 0.375010 | − | 0.121848i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.425298 | − | 0.585373i | 0.0275680 | − | 0.0379441i | ||||
\(239\) | 8.44787 | − | 6.13774i | 0.546447 | − | 0.397017i | −0.280027 | − | 0.959992i | \(-0.590343\pi\) |
0.826474 | + | 0.562975i | \(0.190343\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.99003i | 0.643514i | 0.946822 | + | 0.321757i | \(0.104273\pi\) | ||||
−0.946822 | + | 0.321757i | \(0.895727\pi\) | |||||||
\(242\) | 4.25318 | − | 10.1445i | 0.273405 | − | 0.652112i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.756954 | − | 0.245949i | −0.0484590 | − | 0.0157453i | ||||
\(245\) | 0.254434 | + | 0.350198i | 0.0162552 | + | 0.0223733i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.63197 | − | 8.10036i | −0.167468 | − | 0.515414i | ||||
\(248\) | 1.99876 | + | 6.15157i | 0.126922 | + | 0.390625i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.49666 | + | 3.43636i | 0.157903 | + | 0.217334i | ||||
\(251\) | 17.3557 | + | 5.63922i | 1.09548 | + | 0.355944i | 0.800363 | − | 0.599516i | \(-0.204640\pi\) |
0.295121 | + | 0.955460i | \(0.404640\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.53713 | + | 0.229478i | 0.348116 | + | 0.0144272i | ||||
\(254\) | 8.07974i | 0.506968i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | 11.7065 | − | 16.1126i | 0.730232 | − | 1.00508i | −0.268890 | − | 0.963171i | \(-0.586657\pi\) |
0.999122 | − | 0.0419068i | \(-0.0133433\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.05905 | + | 2.61854i | −0.500765 | + | 0.162708i | ||||
\(260\) | −0.495007 | − | 0.359644i | −0.0306991 | − | 0.0223042i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.204393 | − | 0.629058i | 0.0126275 | − | 0.0388633i | ||||
\(263\) | 26.0303 | 1.60510 | 0.802548 | − | 0.596587i | \(-0.203477\pi\) | ||||
0.802548 | + | 0.596587i | \(0.203477\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.115542 | 0.00709771 | ||||||||
\(266\) | 1.86201 | − | 5.73068i | 0.114167 | − | 0.351371i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.550553 | + | 0.400000i | 0.0336304 | + | 0.0244339i | ||||
\(269\) | −16.5020 | + | 5.36184i | −1.00615 | + | 0.326917i | −0.765319 | − | 0.643651i | \(-0.777419\pi\) |
−0.240828 | + | 0.970568i | \(0.577419\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 8.59960 | − | 11.8363i | 0.522388 | − | 0.719006i | −0.463558 | − | 0.886066i | \(-0.653428\pi\) |
0.985947 | + | 0.167060i | \(0.0534275\pi\) | |||||||
\(272\) | −0.585373 | + | 0.425298i | −0.0354934 | + | 0.0257875i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.4603i | 0.692339i | ||||||||
\(275\) | 8.83928 | + | 13.2907i | 0.533028 | + | 0.801458i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −16.8262 | − | 5.46716i | −1.01099 | − | 0.328490i | −0.243740 | − | 0.969841i | \(-0.578374\pi\) |
−0.767248 | + | 0.641351i | \(0.778374\pi\) | |||||||
\(278\) | 4.78786 | + | 6.58993i | 0.287157 | + | 0.395238i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.133764 | − | 0.411682i | −0.00799391 | − | 0.0246027i | ||||
\(281\) | −5.75319 | − | 17.7065i | −0.343206 | − | 1.05628i | −0.962537 | − | 0.271150i | \(-0.912596\pi\) |
0.619331 | − | 0.785130i | \(-0.287404\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.85988 | + | 6.68905i | 0.288890 | + | 0.397623i | 0.928653 | − | 0.370949i | \(-0.120968\pi\) |
−0.639763 | + | 0.768572i | \(0.720968\pi\) | |||||||
\(284\) | 2.38456 | + | 0.774789i | 0.141497 | + | 0.0459753i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.67538 | − | 2.91027i | −0.217330 | − | 0.172088i | ||||
\(287\) | − | 1.67619i | − | 0.0989424i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.3297 | − | 9.68462i | 0.784102 | − | 0.569684i | ||||
\(290\) | −0.115490 | + | 0.158958i | −0.00678181 | + | 0.00933436i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.11629 | − | 1.98730i | 0.357929 | − | 0.116298i | ||||
\(293\) | 0.229381 | + | 0.166655i | 0.0134006 | + | 0.00973611i | 0.594465 | − | 0.804121i | \(-0.297364\pi\) |
−0.581065 | + | 0.813857i | \(0.697364\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.810272 | − | 2.49376i | 0.0471759 | − | 0.145192i | ||||
\(296\) | 8.47379 | 0.492529 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.02015 | −0.174952 | ||||||||
\(299\) | 0.729863 | − | 2.24629i | 0.0422091 | − | 0.129906i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.47380 | − | 3.25040i | −0.257865 | − | 0.187350i | ||||
\(302\) | 18.9754 | − | 6.16548i | 1.09191 | − | 0.354783i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.54176 | + | 4.87481i | −0.203134 | + | 0.279589i | ||||
\(305\) | −0.278725 | + | 0.202506i | −0.0159598 | + | 0.0115954i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.411509i | 0.0234861i | 0.999931 | + | 0.0117430i | \(0.00373801\pi\) | ||||
−0.999931 | + | 0.0117430i | \(0.996262\pi\) | |||||||
\(308\) | −0.893401 | − | 3.19403i | −0.0509063 | − | 0.181997i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.66282 | + | 0.865202i | 0.151238 | + | 0.0491402i | ||||
\(311\) | −1.85839 | − | 2.55785i | −0.105379 | − | 0.145042i | 0.753070 | − | 0.657940i | \(-0.228572\pi\) |
−0.858450 | + | 0.512898i | \(0.828572\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.40476 | − | 10.4788i | −0.192449 | − | 0.592296i | −0.999997 | − | 0.00249427i | \(-0.999206\pi\) |
0.807548 | − | 0.589801i | \(-0.200794\pi\) | |||||||
\(314\) | 1.55542 | + | 4.78708i | 0.0877773 | + | 0.270151i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.65232 | + | 5.02698i | 0.205459 | + | 0.282790i | ||||
\(317\) | 17.3329 | + | 5.63180i | 0.973513 | + | 0.316314i | 0.752233 | − | 0.658897i | \(-0.228977\pi\) |
0.221280 | + | 0.975210i | \(0.428977\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.934555 | + | 1.18025i | −0.0523250 | + | 0.0660813i | ||||
\(320\) | 0.432868i | 0.0241981i | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.35182 | − | 0.982154i | 0.0753339 | − | 0.0547333i | ||||
\(323\) | −2.56267 | + | 3.52722i | −0.142591 | + | 0.196260i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.46974 | − | 2.10214i | 0.358876 | − | 0.116606i | ||||
\(326\) | −1.65164 | − | 1.19999i | −0.0914759 | − | 0.0664612i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.517971 | + | 1.59415i | −0.0286002 | + | 0.0880223i | ||||
\(329\) | 4.91094 | 0.270749 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.59659 | −0.142722 | −0.0713609 | − | 0.997451i | \(-0.522734\pi\) | ||||
−0.0713609 | + | 0.997451i | \(0.522734\pi\) | |||||||
\(332\) | −1.83539 | + | 5.64875i | −0.100730 | + | 0.310015i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 19.4844 | + | 14.1562i | 1.06614 | + | 0.774594i | ||||
\(335\) | 0.280158 | − | 0.0910289i | 0.0153067 | − | 0.00497344i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.58518 | − | 4.93458i | 0.195297 | − | 0.268804i | −0.700126 | − | 0.714019i | \(-0.746873\pi\) |
0.895424 | + | 0.445215i | \(0.146873\pi\) | |||||||
\(338\) | 8.90080 | − | 6.46681i | 0.484140 | − | 0.351748i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.313206i | 0.0169860i | ||||||||
\(341\) | 20.1104 | + | 7.46829i | 1.08904 | + | 0.404431i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.951057 | + | 0.309017i | 0.0513522 | + | 0.0166853i | ||||
\(344\) | 3.25040 | + | 4.47380i | 0.175250 | + | 0.241211i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.70340 | − | 5.24251i | −0.0915751 | − | 0.281839i | ||||
\(347\) | −4.58888 | − | 14.1231i | −0.246344 | − | 0.758170i | −0.995412 | − | 0.0956767i | \(-0.969498\pi\) |
0.749068 | − | 0.662493i | \(-0.230502\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.87477 | + | 2.58040i | 0.100354 | + | 0.138126i | 0.856241 | − | 0.516577i | \(-0.172794\pi\) |
−0.755887 | + | 0.654702i | \(0.772794\pi\) | |||||||
\(350\) | 4.57708 | + | 1.48718i | 0.244655 | + | 0.0794933i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.137335 | + | 3.31378i | −0.00731998 | + | 0.176625i | ||||
\(353\) | 31.8777i | 1.69668i | 0.529451 | + | 0.848340i | \(0.322398\pi\) | ||||
−0.529451 | + | 0.848340i | \(0.677602\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.878040 | − | 0.637934i | 0.0466015 | − | 0.0338580i | ||||
\(356\) | 5.12533 | − | 7.05441i | 0.271642 | − | 0.373883i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.93096 | − | 0.627407i | 0.102054 | − | 0.0331595i | ||||
\(359\) | −23.0617 | − | 16.7553i | −1.21715 | − | 0.884310i | −0.221288 | − | 0.975208i | \(-0.571026\pi\) |
−0.995860 | + | 0.0908985i | \(0.971026\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.34840 | + | 16.4607i | −0.281495 | + | 0.866352i | ||||
\(362\) | −7.68552 | −0.403942 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.41351 | −0.0740879 | ||||||||
\(365\) | 0.860241 | − | 2.64755i | 0.0450271 | − | 0.138579i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 21.5805 | + | 15.6791i | 1.12649 | + | 0.818444i | 0.985180 | − | 0.171522i | \(-0.0548684\pi\) |
0.141311 | + | 0.989965i | \(0.454868\pi\) | |||||||
\(368\) | −1.58916 | + | 0.516349i | −0.0828406 | + | 0.0269165i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.15602 | − | 2.96750i | 0.112086 | − | 0.154273i | ||||
\(371\) | 0.215945 | − | 0.156893i | 0.0112113 | − | 0.00814548i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.51648i | 0.0785203i | 0.999229 | + | 0.0392601i | \(0.0125001\pi\) | ||||
−0.999229 | + | 0.0392601i | \(0.987500\pi\) | |||||||
\(374\) | −0.0993701 | + | 2.39772i | −0.00513831 | + | 0.123983i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.67058 | − | 1.51756i | −0.240867 | − | 0.0782624i | ||||
\(377\) | 0.377127 | + | 0.519070i | 0.0194230 | + | 0.0267335i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.55457 | − | 26.3283i | −0.439419 | − | 1.35239i | −0.888490 | − | 0.458896i | \(-0.848245\pi\) |
0.449071 | − | 0.893496i | \(-0.351755\pi\) | |||||||
\(380\) | 0.806006 | + | 2.48063i | 0.0413472 | + | 0.127254i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.2920 | − | 14.1658i | −0.526586 | − | 0.724783i | ||||
\(383\) | −6.47940 | − | 2.10529i | −0.331082 | − | 0.107575i | 0.138759 | − | 0.990326i | \(-0.455689\pi\) |
−0.469841 | + | 0.882751i | \(0.655689\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.34585 | − | 0.499802i | −0.0685911 | − | 0.0254723i | ||||
\(386\) | − | 12.8709i | − | 0.655113i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 13.9245 | − | 10.1168i | 0.706911 | − | 0.513601i | ||||
\(389\) | 2.47189 | − | 3.40227i | 0.125330 | − | 0.172502i | −0.741741 | − | 0.670686i | \(-0.766000\pi\) |
0.867071 | + | 0.498184i | \(0.166000\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.14985 | + | 0.373609i | −0.0581505 | + | 0.0188942i | ||||
\(392\) | −0.809017 | − | 0.587785i | −0.0408615 | − | 0.0296876i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −7.88595 | + | 24.2704i | −0.397288 | + | 1.22273i | ||||
\(395\) | 2.68971 | 0.135334 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.52539 | 0.478066 | 0.239033 | − | 0.971011i | \(-0.423170\pi\) | ||||
0.239033 | + | 0.971011i | \(0.423170\pi\) | |||||||
\(398\) | −7.36341 | + | 22.6623i | −0.369095 | + | 1.13596i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.89350 | − | 2.82879i | −0.194675 | − | 0.141440i | ||||
\(401\) | −3.19807 | + | 1.03912i | −0.159704 | + | 0.0518910i | −0.387778 | − | 0.921753i | \(-0.626757\pi\) |
0.228074 | + | 0.973644i | \(0.426757\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.37398 | − | 7.39665i | 0.267697 | − | 0.368454i | ||||
\(404\) | 10.8485 | − | 7.88192i | 0.539735 | − | 0.392140i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.453910i | 0.0225272i | ||||||||
\(407\) | 17.4467 | − | 22.0334i | 0.864799 | − | 1.09215i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.23090 | − | 1.37470i | −0.209205 | − | 0.0679747i | 0.202540 | − | 0.979274i | \(-0.435080\pi\) |
−0.411745 | + | 0.911299i | \(0.635080\pi\) | |||||||
\(410\) | 0.426479 | + | 0.586998i | 0.0210623 | + | 0.0289898i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.90269 | − | 15.0889i | −0.241538 | − | 0.743378i | ||||
\(413\) | −1.87187 | − | 5.76102i | −0.0921086 | − | 0.283481i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.51120 | + | 2.07998i | 0.0741817 | + | 0.102102i | ||||
\(416\) | 1.34433 | + | 0.436798i | 0.0659110 | + | 0.0214158i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.38327 | + | 19.2459i | 0.263304 | + | 0.941349i | ||||
\(419\) | 4.97536i | 0.243062i | 0.992588 | + | 0.121531i | \(0.0387804\pi\) | ||||
−0.992588 | + | 0.121531i | \(0.961220\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.6425 | + | 13.5445i | −0.908578 | + | 0.660120i | −0.940655 | − | 0.339365i | \(-0.889788\pi\) |
0.0320770 | + | 0.999485i | \(0.489788\pi\) | |||||||
\(422\) | 11.7626 | − | 16.1898i | 0.572592 | − | 0.788105i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.253858 | + | 0.0824836i | −0.0123285 | + | 0.00400576i | ||||
\(425\) | −2.81718 | − | 2.04680i | −0.136653 | − | 0.0992844i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.245949 | + | 0.756954i | −0.0119023 | + | 0.0366315i | ||||
\(428\) | 9.36137 | 0.452499 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.39373 | 0.115436 | ||||||||
\(431\) | 2.91841 | − | 8.98193i | 0.140575 | − | 0.432644i | −0.855841 | − | 0.517239i | \(-0.826960\pi\) |
0.996415 | + | 0.0845951i | \(0.0269597\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.3932 | + | 14.8165i | 0.980036 | + | 0.712038i | 0.957717 | − | 0.287713i | \(-0.0928949\pi\) |
0.0223195 | + | 0.999751i | \(0.492895\pi\) | |||||||
\(434\) | 6.15157 | − | 1.99876i | 0.295285 | − | 0.0959438i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.09972 | − | 5.64277i | 0.196341 | − | 0.270240i | ||||
\(437\) | −8.14551 | + | 5.91806i | −0.389653 | + | 0.283099i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 8.31162i | − | 0.396692i | −0.980132 | − | 0.198346i | \(-0.936443\pi\) | ||
0.980132 | − | 0.198346i | \(-0.0635569\pi\) | |||||||
\(440\) | 1.12554 | + | 0.891231i | 0.0536578 | + | 0.0424878i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.972701 | + | 0.316050i | 0.0462667 | + | 0.0150330i | ||||
\(443\) | −6.24221 | − | 8.59167i | −0.296577 | − | 0.408203i | 0.634560 | − | 0.772874i | \(-0.281181\pi\) |
−0.931136 | + | 0.364671i | \(0.881181\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.16638 | − | 3.58976i | −0.0552919 | − | 0.170171i | ||||
\(446\) | 4.61943 | + | 14.2171i | 0.218736 | + | 0.673201i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.587785 | + | 0.809017i | 0.0277702 | + | 0.0382225i | ||||
\(449\) | 27.5740 | + | 8.95934i | 1.30130 | + | 0.422817i | 0.876033 | − | 0.482251i | \(-0.160181\pi\) |
0.425265 | + | 0.905069i | \(0.360181\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.07863 | + | 4.62902i | 0.144967 | + | 0.217972i | ||||
\(452\) | 4.64122i | 0.218305i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.53312 | + | 6.92622i | −0.447412 | + | 0.325064i | ||||
\(455\) | −0.359644 | + | 0.495007i | −0.0168604 | + | 0.0232063i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −21.0294 | + | 6.83285i | −0.983712 | + | 0.319627i | −0.756339 | − | 0.654180i | \(-0.773014\pi\) |
−0.227373 | + | 0.973808i | \(0.573014\pi\) | |||||||
\(458\) | −7.07753 | − | 5.14213i | −0.330711 | − | 0.240276i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.223511 | + | 0.687896i | −0.0104213 | + | 0.0320733i | ||||
\(461\) | 4.48889 | 0.209069 | 0.104534 | − | 0.994521i | \(-0.466665\pi\) | ||||
0.104534 | + | 0.994521i | \(0.466665\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 25.6417 | 1.19167 | 0.595836 | − | 0.803106i | \(-0.296821\pi\) | ||||
0.595836 | + | 0.803106i | \(0.296821\pi\) | |||||||
\(464\) | 0.140266 | − | 0.431695i | 0.00651169 | − | 0.0200409i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −16.8765 | − | 12.2615i | −0.781790 | − | 0.568004i | ||||
\(467\) | −15.9208 | + | 5.17297i | −0.736725 | + | 0.239377i | −0.653259 | − | 0.757134i | \(-0.726599\pi\) |
−0.0834657 | + | 0.996511i | \(0.526599\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.400000 | − | 0.550553i | 0.0184703 | − | 0.0254222i | ||||
\(470\) | −1.71980 | + | 1.24951i | −0.0793285 | + | 0.0576355i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.05749i | 0.278819i | ||||||||
\(473\) | 18.3249 | + | 0.759451i | 0.842581 | + | 0.0349196i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −27.5796 | − | 8.96116i | −1.26544 | − | 0.411166i | ||||
\(476\) | 0.425298 | + | 0.585373i | 0.0194935 | + | 0.0268305i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 3.22680 | + | 9.93107i | 0.147590 | + | 0.454237i | ||||
\(479\) | 0.397877 | + | 1.22454i | 0.0181795 | + | 0.0559506i | 0.959735 | − | 0.280908i | \(-0.0906356\pi\) |
−0.941555 | + | 0.336859i | \(0.890636\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.04036 | − | 9.69022i | −0.321013 | − | 0.441836i | ||||
\(482\) | −9.50108 | − | 3.08709i | −0.432762 | − | 0.140613i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 8.33367 | + | 7.17983i | 0.378803 | + | 0.326356i | ||||
\(485\) | − | 7.45039i | − | 0.338305i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 21.1248 | − | 15.3481i | 0.957258 | − | 0.695488i | 0.00474544 | − | 0.999989i | \(-0.498489\pi\) |
0.952512 | + | 0.304500i | \(0.0984895\pi\) | |||||||
\(488\) | 0.467823 | − | 0.643903i | 0.0211774 | − | 0.0291481i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.411682 | + | 0.133764i | −0.0185979 | + | 0.00604283i | ||||
\(491\) | −34.1694 | − | 24.8255i | −1.54204 | − | 1.12036i | −0.949037 | − | 0.315164i | \(-0.897941\pi\) |
−0.593007 | − | 0.805197i | \(-0.702059\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.101491 | − | 0.312357i | 0.00457092 | − | 0.0140679i | ||||
\(494\) | 8.51723 | 0.383208 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.46814 | −0.290428 | ||||||||
\(497\) | 0.774789 | − | 2.38456i | 0.0347540 | − | 0.106962i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.0478 | + | 9.47979i | 0.584100 | + | 0.424373i | 0.840200 | − | 0.542277i | \(-0.182438\pi\) |
−0.256100 | + | 0.966650i | \(0.582438\pi\) | |||||||
\(500\) | −4.03968 | + | 1.31257i | −0.180660 | + | 0.0587000i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.7264 | + | 14.7637i | −0.478744 | + | 0.658934i | ||||
\(503\) | 4.09915 | − | 2.97821i | 0.182772 | − | 0.132792i | −0.492637 | − | 0.870235i | \(-0.663967\pi\) |
0.675409 | + | 0.737443i | \(0.263967\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 5.80456i | − | 0.258299i | ||||||
\(506\) | −1.92931 | + | 5.19521i | −0.0857684 | + | 0.230955i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7.68429 | − | 2.49678i | −0.340935 | − | 0.110777i | ||||
\(509\) | −3.81131 | − | 5.24582i | −0.168933 | − | 0.232517i | 0.716153 | − | 0.697943i | \(-0.245901\pi\) |
−0.885087 | + | 0.465426i | \(0.845901\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.98730 | − | 6.11629i | −0.0879131 | − | 0.270569i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 11.7065 | + | 16.1126i | 0.516352 | + | 0.710697i | ||||
\(515\) | −6.53152 | − | 2.12222i | −0.287813 | − | 0.0935162i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.5622 | + | 9.01985i | −0.596465 | + | 0.396693i | ||||
\(518\) | − | 8.47379i | − | 0.372317i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.495007 | − | 0.359644i | 0.0217075 | − | 0.0157714i | ||||
\(521\) | −19.0136 | + | 26.1700i | −0.833002 | + | 1.14653i | 0.154354 | + | 0.988016i | \(0.450670\pi\) |
−0.987357 | + | 0.158514i | \(0.949330\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.0501 | − | 4.89008i | 0.658096 | − | 0.213828i | 0.0391156 | − | 0.999235i | \(-0.487546\pi\) |
0.618981 | + | 0.785406i | \(0.287546\pi\) | |||||||
\(524\) | 0.535109 | + | 0.388779i | 0.0233763 | + | 0.0169839i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.04380 | + | 24.7563i | −0.350727 | + | 1.07943i | ||||
\(527\) | −4.68009 | −0.203868 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.2080 | 0.878607 | ||||||||
\(530\) | −0.0357045 | + | 0.109887i | −0.00155091 | + | 0.00477320i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4.87481 | + | 3.54176i | 0.211350 | + | 0.153555i | ||||
\(533\) | 2.25335 | − | 0.732157i | 0.0976033 | − | 0.0317132i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.38185 | − | 3.27833i | 0.102976 | − | 0.141735i | ||||
\(536\) | −0.550553 | + | 0.400000i | −0.0237803 | + | 0.0172774i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 17.3513i | − | 0.748067i | ||||||
\(539\) | −3.19403 | + | 0.893401i | −0.137577 | + | 0.0384815i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.1162 | − | 4.91155i | −0.649897 | − | 0.211164i | −0.0345281 | − | 0.999404i | \(-0.510993\pi\) |
−0.615369 | + | 0.788240i | \(0.710993\pi\) | |||||||
\(542\) | 8.59960 | + | 11.8363i | 0.369384 | + | 0.508414i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.223592 | − | 0.688147i | −0.00958645 | − | 0.0295041i | ||||
\(545\) | −0.932982 | − | 2.87142i | −0.0399646 | − | 0.122998i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −27.3534 | − | 37.6488i | −1.16955 | − | 1.60975i | −0.666556 | − | 0.745455i | \(-0.732232\pi\) |
−0.502992 | − | 0.864291i | \(-0.667768\pi\) | |||||||
\(548\) | −10.8993 | − | 3.54141i | −0.465597 | − | 0.151282i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −15.3717 | + | 4.29960i | −0.655450 | + | 0.183336i | ||||
\(551\) | − | 2.73508i | − | 0.116518i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.02698 | − | 3.65232i | 0.213769 | − | 0.155312i | ||||
\(554\) | 10.3992 | − | 14.3132i | 0.441818 | − | 0.608110i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.74693 | + | 2.51713i | −0.328543 | + | 0.106750i | ||||
\(557\) | 13.8514 | + | 10.0636i | 0.586903 | + | 0.426410i | 0.841206 | − | 0.540715i | \(-0.181846\pi\) |
−0.254303 | + | 0.967124i | \(0.581846\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.41546 | − | 7.43401i | 0.102163 | − | 0.314425i | ||||
\(560\) | 0.432868 | 0.0182920 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 18.6177 | 0.785340 | ||||||||
\(563\) | −13.8929 | + | 42.7580i | −0.585517 | + | 1.80204i | 0.0116659 | + | 0.999932i | \(0.496287\pi\) |
−0.597183 | + | 0.802105i | \(0.703713\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.62535 | + | 1.18088i | 0.0683788 | + | 0.0496801i | ||||
\(566\) | −7.86345 | + | 2.55499i | −0.330526 | + | 0.107394i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.47374 | + | 2.02842i | −0.0618366 | + | 0.0851108i | ||||
\(569\) | −22.0315 | + | 16.0068i | −0.923610 | + | 0.671042i | −0.944420 | − | 0.328742i | \(-0.893375\pi\) |
0.0208100 | + | 0.999783i | \(0.493375\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 14.0092i | − | 0.586269i | −0.956071 | − | 0.293134i | \(-0.905302\pi\) | ||
0.956071 | − | 0.293134i | \(-0.0946983\pi\) | |||||||
\(572\) | 3.90358 | − | 2.59617i | 0.163217 | − | 0.108551i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.59415 | + | 0.517971i | 0.0665386 | + | 0.0216197i | ||||
\(575\) | −4.72674 | − | 6.50580i | −0.197119 | − | 0.271310i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.965705 | − | 2.97213i | −0.0402028 | − | 0.123732i | 0.928941 | − | 0.370228i | \(-0.120721\pi\) |
−0.969144 | + | 0.246497i | \(0.920721\pi\) | |||||||
\(578\) | 5.09151 | + | 15.6700i | 0.211779 | + | 0.651788i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.115490 | − | 0.158958i | −0.00479546 | − | 0.00660039i | ||||
\(581\) | 5.64875 | + | 1.83539i | 0.234350 | + | 0.0761448i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.308196 | + | 0.829903i | −0.0127642 | + | 0.0343711i | ||||
\(584\) | 6.43105i | 0.266119i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.229381 | + | 0.166655i | −0.00947566 | + | 0.00688447i | ||||
\(587\) | 17.4626 | − | 24.0352i | 0.720758 | − | 0.992038i | −0.278741 | − | 0.960366i | \(-0.589917\pi\) |
0.999498 | − | 0.0316714i | \(-0.0100830\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −37.0668 | + | 12.0437i | −1.52731 | + | 0.496254i | ||||
\(590\) | 2.12132 | + | 1.54123i | 0.0873334 | + | 0.0634514i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.61854 | + | 8.05905i | −0.107622 | + | 0.331225i | ||||
\(593\) | −29.5395 | −1.21304 | −0.606520 | − | 0.795068i | \(-0.707435\pi\) | ||||
−0.606520 | + | 0.795068i | \(0.707435\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.313206 | 0.0128402 | ||||||||
\(596\) | 0.933277 | − | 2.87233i | 0.0382285 | − | 0.117655i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.91081 | + | 1.38828i | 0.0781387 | + | 0.0567711i | ||||
\(599\) | −22.7385 | + | 7.38820i | −0.929071 | + | 0.301873i | −0.734183 | − | 0.678952i | \(-0.762434\pi\) |
−0.194888 | + | 0.980825i | \(0.562434\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.1447 | − | 24.9741i | 0.740139 | − | 1.01871i | −0.258472 | − | 0.966019i | \(-0.583219\pi\) |
0.998611 | − | 0.0526947i | \(-0.0167810\pi\) | |||||||
\(602\) | 4.47380 | − | 3.25040i | 0.182338 | − | 0.132477i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 19.9519i | 0.811831i | ||||||||
\(605\) | 4.63473 | − | 1.09164i | 0.188428 | − | 0.0443816i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.5264 | − | 7.31929i | −0.914320 | − | 0.297081i | −0.186185 | − | 0.982515i | \(-0.559613\pi\) |
−0.728135 | + | 0.685434i | \(0.759613\pi\) | |||||||
\(608\) | −3.54176 | − | 4.87481i | −0.143637 | − | 0.197700i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.106464 | − | 0.327661i | −0.00431058 | − | 0.0132666i | ||||
\(611\) | 2.14509 | + | 6.60191i | 0.0867810 | + | 0.267085i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.47583 | + | 10.2896i | 0.301946 | + | 0.415593i | 0.932848 | − | 0.360269i | \(-0.117315\pi\) |
−0.630902 | + | 0.775862i | \(0.717315\pi\) | |||||||
\(614\) | −0.391369 | − | 0.127163i | −0.0157943 | − | 0.00513190i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.31378 | + | 0.137335i | 0.133516 | + | 0.00553338i | ||||
\(617\) | − | 1.34982i | − | 0.0543416i | −0.999631 | − | 0.0271708i | \(-0.991350\pi\) | ||
0.999631 | − | 0.0271708i | \(-0.00864980\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.5292 | − | 20.0011i | 1.10649 | − | 0.803913i | 0.124384 | − | 0.992234i | \(-0.460304\pi\) |
0.982108 | + | 0.188321i | \(0.0603045\pi\) | |||||||
\(620\) | −1.64571 | + | 2.26513i | −0.0660934 | + | 0.0909697i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.00693 | − | 0.977011i | 0.120567 | − | 0.0391746i | ||||
\(623\) | −7.05441 | − | 5.12533i | −0.282629 | − | 0.205342i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.86774 | − | 21.1367i | 0.274710 | − | 0.845470i | ||||
\(626\) | 11.0180 | 0.440369 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.03344 | −0.200856 | ||||||||
\(629\) | −1.89468 | + | 5.83121i | −0.0755457 | + | 0.232506i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.72906 | + | 4.88895i | 0.267880 | + | 0.194626i | 0.713614 | − | 0.700540i | \(-0.247057\pi\) |
−0.445734 | + | 0.895165i | \(0.647057\pi\) | |||||||
\(632\) | −5.90957 | + | 1.92014i | −0.235070 | + | 0.0763789i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.7123 | + | 14.7443i | −0.425441 | + | 0.585569i | ||||
\(635\) | −2.82951 | + | 2.05576i | −0.112286 | + | 0.0815802i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.41351i | 0.0560052i | ||||||||
\(638\) | −0.833690 | − | 1.25353i | −0.0330061 | − | 0.0496278i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.411682 | − | 0.133764i | −0.0162732 | − | 0.00528747i | ||||
\(641\) | −24.8703 | − | 34.2311i | −0.982319 | − | 1.35205i | −0.935570 | − | 0.353140i | \(-0.885114\pi\) |
−0.0467490 | − | 0.998907i | \(-0.514886\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.24494 | + | 16.1423i | 0.206840 | + | 0.636589i | 0.999633 | + | 0.0270972i | \(0.00862637\pi\) |
−0.792793 | + | 0.609492i | \(0.791374\pi\) | |||||||
\(644\) | 0.516349 | + | 1.58916i | 0.0203470 | + | 0.0626216i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.56267 | − | 3.52722i | −0.100827 | − | 0.138777i | ||||
\(647\) | −31.9166 | − | 10.3703i | −1.25477 | − | 0.407700i | −0.395144 | − | 0.918619i | \(-0.629305\pi\) |
−0.859629 | + | 0.510919i | \(0.829305\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.7506 | + | 12.4718i | 0.618264 | + | 0.489559i | ||||
\(650\) | 6.80268i | 0.266823i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.65164 | − | 1.19999i | 0.0646833 | − | 0.0469951i | ||||
\(653\) | −27.6582 | + | 38.0683i | −1.08235 | + | 1.48973i | −0.225444 | + | 0.974256i | \(0.572383\pi\) |
−0.856906 | + | 0.515472i | \(0.827617\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.272299 | − | 0.0884754i | 0.0106396 | − | 0.00345702i | ||||
\(656\) | −1.35607 | − | 0.985240i | −0.0529455 | − | 0.0384672i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.51756 | + | 4.67058i | −0.0591608 | + | 0.182078i | ||||
\(659\) | −45.5121 | −1.77290 | −0.886449 | − | 0.462826i | \(-0.846836\pi\) | ||||
−0.886449 | + | 0.462826i | \(0.846836\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.59604 | 0.217661 | 0.108830 | − | 0.994060i | \(-0.465289\pi\) | ||||
0.108830 | + | 0.994060i | \(0.465289\pi\) | |||||||
\(662\) | 0.802392 | − | 2.46951i | 0.0311858 | − | 0.0959801i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.80511 | − | 3.49112i | −0.186475 | − | 0.135482i | ||||
\(665\) | 2.48063 | − | 0.806006i | 0.0961947 | − | 0.0312556i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.445810 | − | 0.613605i | 0.0172618 | − | 0.0237589i | ||||
\(668\) | −19.4844 | + | 14.1562i | −0.753873 | + | 0.547721i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.294576i | 0.0113805i | ||||||||
\(671\) | −0.711065 | − | 2.54216i | −0.0274504 | − | 0.0981388i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.4493 | − | 6.64438i | −0.788262 | − | 0.256122i | −0.112898 | − | 0.993607i | \(-0.536013\pi\) |
−0.675364 | + | 0.737485i | \(0.736013\pi\) | |||||||
\(674\) | 3.58518 | + | 4.93458i | 0.138096 | + | 0.190073i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.39980 | + | 10.4635i | 0.130762 | + | 0.402443i | ||||
\(677\) | −3.38945 | − | 10.4317i | −0.130267 | − | 0.400922i | 0.864557 | − | 0.502535i | \(-0.167599\pi\) |
−0.994824 | + | 0.101614i | \(0.967599\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −10.1168 | − | 13.9245i | −0.388246 | − | 0.534375i | ||||
\(680\) | −0.297877 | − | 0.0967861i | −0.0114231 | − | 0.00371158i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −13.3172 | + | 16.8183i | −0.509943 | + | 0.644007i | ||||
\(683\) | − | 27.7384i | − | 1.06138i | −0.847566 | − | 0.530690i | \(-0.821933\pi\) | ||
0.847566 | − | 0.530690i | \(-0.178067\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.01336 | + | 2.91587i | −0.153342 | + | 0.111410i | ||||
\(686\) | −0.587785 | + | 0.809017i | −0.0224417 | + | 0.0308884i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.25926 | + | 1.70884i | −0.200508 | + | 0.0651488i | ||||
\(689\) | 0.305240 | + | 0.221770i | 0.0116287 | + | 0.00844875i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.49473 | + | 13.8333i | −0.170987 | + | 0.526245i | −0.999428 | − | 0.0338325i | \(-0.989229\pi\) |
0.828440 | + | 0.560078i | \(0.189229\pi\) | |||||||
\(692\) | 5.51230 | 0.209546 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 14.8499 | 0.563696 | ||||||||
\(695\) | −1.08959 | + | 3.35340i | −0.0413303 | + | 0.127202i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.981196 | − | 0.712881i | −0.0371655 | − | 0.0270023i | ||||
\(698\) | −3.03344 | + | 0.985625i | −0.114817 | + | 0.0373065i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.82879 | + | 3.89350i | −0.106918 | + | 0.147160i | ||||
\(701\) | −8.97681 | + | 6.52203i | −0.339049 | + | 0.246334i | −0.744261 | − | 0.667889i | \(-0.767198\pi\) |
0.405211 | + | 0.914223i | \(0.367198\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 51.0596i | 1.92575i | ||||||||
\(704\) | −3.10915 | − | 1.15463i | −0.117181 | − | 0.0435167i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −30.3175 | − | 9.85076i | −1.14102 | − | 0.370738i | ||||
\(707\) | −7.88192 | − | 10.8485i | −0.296430 | − | 0.408001i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.32213 | + | 7.14677i | 0.0872093 | + | 0.268403i | 0.985145 | − | 0.171724i | \(-0.0549337\pi\) |
−0.897936 | + | 0.440126i | \(0.854934\pi\) | |||||||
\(710\) | 0.335382 | + | 1.03220i | 0.0125866 | + | 0.0387377i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.12533 | + | 7.05441i | 0.192080 | + | 0.264375i | ||||
\(713\) | −10.2789 | − | 3.33982i | −0.384948 | − | 0.125077i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0840302 | − | 2.02758i | 0.00314255 | − | 0.0758272i | ||||
\(716\) | 2.03033i | 0.0758771i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 23.0617 | − | 16.7553i | 0.860654 | − | 0.625302i | ||||
\(719\) | −20.6497 | + | 28.4218i | −0.770103 | + | 1.05996i | 0.226203 | + | 0.974080i | \(0.427369\pi\) |
−0.996306 | + | 0.0858754i | \(0.972631\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.0889 | + | 4.90269i | −0.561941 | + | 0.182586i | ||||
\(722\) | −14.0023 | − | 10.1733i | −0.521111 | − | 0.378610i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.37496 | − | 7.30936i | 0.0882645 | − | 0.271650i | ||||
\(725\) | 2.18450 | 0.0811303 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 38.3016 | 1.42053 | 0.710264 | − | 0.703936i | \(-0.248576\pi\) | ||||
0.710264 | + | 0.703936i | \(0.248576\pi\) | |||||||
\(728\) | 0.436798 | − | 1.34433i | 0.0161888 | − | 0.0498240i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.25214 | + | 1.63628i | 0.0833554 | + | 0.0605613i | ||||
\(731\) | −3.80539 | + | 1.23645i | −0.140748 | + | 0.0457317i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.65944 | + | 3.66041i | −0.0982287 | + | 0.135200i | −0.855302 | − | 0.518130i | \(-0.826628\pi\) |
0.757073 | + | 0.653330i | \(0.226628\pi\) | |||||||
\(734\) | −21.5805 | + | 15.6791i | −0.796549 | + | 0.578727i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 1.67094i | − | 0.0615916i | ||||||
\(737\) | −0.0934593 | + | 2.25510i | −0.00344262 | + | 0.0830675i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −4.40476 | − | 1.43119i | −0.162032 | − | 0.0526473i | 0.226878 | − | 0.973923i | \(-0.427148\pi\) |
−0.388910 | + | 0.921276i | \(0.627148\pi\) | |||||||
\(740\) | 2.15602 | + | 2.96750i | 0.0792568 | + | 0.109088i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.0824836 | + | 0.253858i | 0.00302807 | + | 0.00931943i | ||||
\(743\) | −1.84992 | − | 5.69348i | −0.0678671 | − | 0.208873i | 0.911371 | − | 0.411585i | \(-0.135025\pi\) |
−0.979239 | + | 0.202712i | \(0.935025\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.768427 | − | 1.05765i | −0.0281530 | − | 0.0387493i | ||||
\(746\) | −1.44226 | − | 0.468618i | −0.0528048 | − | 0.0171573i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.24966 | − | 0.835443i | −0.0822557 | − | 0.0305468i | ||||
\(749\) | − | 9.36137i | − | 0.342057i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 24.1411 | − | 17.5395i | 0.880920 | − | 0.640026i | −0.0525747 | − | 0.998617i | \(-0.516743\pi\) |
0.933495 | + | 0.358591i | \(0.116743\pi\) | |||||||
\(752\) | 2.88658 | − | 3.97304i | 0.105263 | − | 0.144882i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.610204 | + | 0.198267i | −0.0222223 | + | 0.00722046i | ||||
\(755\) | 6.98711 | + | 5.07643i | 0.254287 | + | 0.184750i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.05610 | + | 6.32803i | −0.0747303 | + | 0.229996i | −0.981443 | − | 0.191752i | \(-0.938583\pi\) |
0.906713 | + | 0.421748i | \(0.138583\pi\) | |||||||
\(758\) | 27.6832 | 1.00550 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.60829 | −0.0946126 | ||||||||
\(761\) | −15.8365 | + | 48.7399i | −0.574074 | + | 1.76682i | 0.0652354 | + | 0.997870i | \(0.479220\pi\) |
−0.639310 | + | 0.768949i | \(0.720780\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.64277 | − | 4.09972i | −0.204282 | − | 0.148420i | ||||
\(764\) | 16.6528 | − | 5.41084i | 0.602479 | − | 0.195757i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.00449 | − | 5.51171i | 0.144688 | − | 0.199146i | ||||
\(767\) | 6.92705 | − | 5.03280i | 0.250121 | − | 0.181724i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 40.5398i | 1.46190i | 0.682430 | + | 0.730951i | \(0.260923\pi\) | ||||
−0.682430 | + | 0.730951i | \(0.739077\pi\) | |||||||
\(770\) | 0.891231 | − | 1.12554i | 0.0321178 | − | 0.0405615i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 12.2410 | + | 3.97734i | 0.440563 | + | 0.143148i | ||||
\(773\) | −29.1039 | − | 40.0581i | −1.04680 | − | 1.44079i | −0.891554 | − | 0.452914i | \(-0.850384\pi\) |
−0.155242 | − | 0.987876i | \(-0.549616\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.61931 | − | 29.6052i | −0.345536 | − | 1.06345i | ||||
\(776\) | 5.31870 | + | 16.3693i | 0.190930 | + | 0.587623i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.47189 | + | 3.40227i | 0.0886216 | + | 0.121977i | ||||
\(779\) | −9.60571 | − | 3.12109i | −0.344160 | − | 0.111825i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.24000 | + | 8.00830i | 0.0801534 | + | 0.286559i | ||||
\(782\) | − | 1.20903i | − | 0.0432347i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.809017 | − | 0.587785i | 0.0288935 | − | 0.0209923i | ||||
\(785\) | −1.28068 | + | 1.76270i | −0.0457093 | + | 0.0629134i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −9.02926 | + | 2.93379i | −0.321858 | + | 0.104578i | −0.465490 | − | 0.885053i | \(-0.654122\pi\) |
0.143632 | + | 0.989631i | \(0.454122\pi\) | |||||||
\(788\) | −20.6457 | − | 15.0000i | −0.735472 | − | 0.534351i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.831166 | + | 2.55807i | −0.0295716 | + | 0.0910119i | ||||
\(791\) | 4.64122 | 0.165023 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.12502 | −0.0399507 | ||||||||
\(794\) | −2.94351 | + | 9.05918i | −0.104461 | + | 0.321498i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −19.2777 | − | 14.0060i | −0.683279 | − | 0.496431i | ||||
\(797\) | 2.65463 | − | 0.862542i | 0.0940318 | − | 0.0305528i | −0.261623 | − | 0.965170i | \(-0.584258\pi\) |
0.355655 | + | 0.934617i | \(0.384258\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.08861 | − | 2.87473i | 0.0738899 | − | 0.101701i | ||||
\(800\) | 3.89350 | − | 2.82879i | 0.137656 | − | 0.100013i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 3.36265i | − | 0.118739i | ||||||
\(803\) | 16.7219 | + | 13.2409i | 0.590103 | + | 0.467260i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.687896 | + | 0.223511i | 0.0242452 | + | 0.00787773i | ||||
\(806\) | 5.37398 | + | 7.39665i | 0.189290 | + | 0.260536i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.14377 | + | 12.7532i | 0.145777 | + | 0.448657i | ||||
\(809\) | 1.84794 | + | 5.68738i | 0.0649702 | + | 0.199958i | 0.978272 | − | 0.207326i | \(-0.0664761\pi\) |
−0.913302 | + | 0.407284i | \(0.866476\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 20.1810 | + | 27.7767i | 0.708650 | + | 0.975374i | 0.999825 | + | 0.0187036i | \(0.00595390\pi\) |
−0.291175 | + | 0.956670i | \(0.594046\pi\) | |||||||
\(812\) | −0.431695 | − | 0.140266i | −0.0151495 | − | 0.00492237i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.5637 | + | 23.4015i | 0.545507 | + | 0.820221i | ||||
\(815\) | − | 0.883718i | − | 0.0309553i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −26.9573 | + | 19.5856i | −0.943116 | + | 0.685214i | ||||
\(818\) | 2.61484 | − | 3.59902i | 0.0914258 | − | 0.125837i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.690058 | + | 0.224213i | −0.0240979 | + | 0.00782987i | ||||
\(821\) | −9.41267 | − | 6.83870i | −0.328504 | − | 0.238672i | 0.411291 | − | 0.911504i | \(-0.365078\pi\) |
−0.739796 | + | 0.672832i | \(0.765078\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.67004 | + | 14.3729i | −0.162787 | + | 0.501008i | −0.998866 | − | 0.0476011i | \(-0.984842\pi\) |
0.836079 | + | 0.548609i | \(0.184842\pi\) | |||||||
\(824\) | 15.8654 | 0.552699 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.05749 | 0.210767 | ||||||||
\(827\) | −6.34576 | + | 19.5302i | −0.220664 | + | 0.679133i | 0.778039 | + | 0.628216i | \(0.216214\pi\) |
−0.998703 | + | 0.0509172i | \(0.983786\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.4123 | + | 23.5489i | 1.12573 | + | 0.817888i | 0.985067 | − | 0.172171i | \(-0.0550780\pi\) |
0.140658 | + | 0.990058i | \(0.455078\pi\) | |||||||
\(830\) | −2.44517 | + | 0.794482i | −0.0848729 | + | 0.0275769i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.830839 | + | 1.14355i | −0.0288042 | + | 0.0396455i | ||||
\(833\) | 0.585373 | − | 0.425298i | 0.0202820 | − | 0.0147357i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.4252i | 0.360779i | ||||||||
\(836\) | −19.9675 | − | 0.827525i | −0.690590 | − | 0.0286205i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.73184 | − | 1.53747i | −0.163459 | − | 0.0531110i | ||||
\(839\) | −19.4282 | − | 26.7407i | −0.670737 | − | 0.923191i | 0.329040 | − | 0.944316i | \(-0.393275\pi\) |
−0.999777 | + | 0.0211255i | \(0.993275\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.89782 | − | 27.3847i | −0.306822 | − | 0.944300i | ||||
\(842\) | −7.12078 | − | 21.9155i | −0.245398 | − | 0.755259i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 11.7626 | + | 16.1898i | 0.404884 | + | 0.557275i | ||||
\(845\) | 4.52933 | + | 1.47167i | 0.155814 | + | 0.0506269i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.17983 | − | 8.33367i | 0.246702 | − | 0.286348i | ||||
\(848\) | − | 0.266922i | − | 0.00916616i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.81718 | − | 2.04680i | 0.0966284 | − | 0.0702047i | ||||
\(851\) | −8.32256 | + | 11.4550i | −0.285294 | + | 0.392673i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.03686 | − | 2.93625i | 0.309416 | − | 0.100535i | −0.150193 | − | 0.988657i | \(-0.547990\pi\) |
0.459609 | + | 0.888121i | \(0.347990\pi\) | |||||||
\(854\) | −0.643903 | − | 0.467823i | −0.0220339 | − | 0.0160086i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.89282 | + | 8.90319i | −0.0988747 | + | 0.304305i | ||||
\(857\) | 15.4592 | 0.528078 | 0.264039 | − | 0.964512i | \(-0.414945\pi\) | ||||
0.264039 | + | 0.964512i | \(0.414945\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −30.4109 | −1.03761 | −0.518803 | − | 0.854894i | \(-0.673622\pi\) | ||||
−0.518803 | + | 0.854894i | \(0.673622\pi\) | |||||||
\(860\) | −0.739702 | + | 2.27657i | −0.0252236 | + | 0.0776303i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 7.64049 | + | 5.55114i | 0.260236 | + | 0.189073i | ||||
\(863\) | 1.37014 | − | 0.445185i | 0.0466400 | − | 0.0151543i | −0.285604 | − | 0.958348i | \(-0.592194\pi\) |
0.332244 | + | 0.943193i | \(0.392194\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.40251 | − | 1.93040i | 0.0476869 | − | 0.0656354i | ||||
\(866\) | −20.3932 | + | 14.8165i | −0.692990 | + | 0.503487i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.46814i | 0.219543i | ||||||||
\(869\) | −7.17450 | + | 19.3193i | −0.243378 | + | 0.655363i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.914841 | + | 0.297250i | 0.0309982 | + | 0.0100719i | ||||
\(872\) | 4.09972 | + | 5.64277i | 0.138834 | + | 0.191088i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.11131 | − | 9.57562i | −0.105242 | − | 0.323900i | ||||
\(875\) | 1.31257 | + | 4.03968i | 0.0443731 | + | 0.136566i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.4712 | − | 26.7998i | −0.657495 | − | 0.904964i | 0.341901 | − | 0.939736i | \(-0.388929\pi\) |
−0.999395 | + | 0.0347724i | \(0.988929\pi\) | |||||||
\(878\) | 7.90482 | + | 2.56843i | 0.266775 | + | 0.0866803i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.19542 | + | 0.795043i | −0.0402976 | + | 0.0268009i | ||||
\(881\) | − | 7.35470i | − | 0.247786i | −0.992296 | − | 0.123893i | \(-0.960462\pi\) | ||
0.992296 | − | 0.123893i | \(-0.0395380\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.3730 | − | 11.1691i | 0.517342 | − | 0.375871i | −0.298259 | − | 0.954485i | \(-0.596406\pi\) |
0.815602 | + | 0.578614i | \(0.196406\pi\) | |||||||
\(884\) | −0.601162 | + | 0.827429i | −0.0202193 | + | 0.0278294i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 10.1001 | − | 3.28173i | 0.339320 | − | 0.110252i | ||||
\(887\) | −28.5496 | − | 20.7425i | −0.958603 | − | 0.696466i | −0.00577729 | − | 0.999983i | \(-0.501839\pi\) |
−0.952826 | + | 0.303517i | \(0.901839\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.49678 | + | 7.68429i | −0.0837392 | + | 0.257723i | ||||
\(890\) | 3.77450 | 0.126521 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −14.9488 | −0.500522 | ||||||||
\(893\) | 9.14423 | − | 28.1430i | 0.306000 | − | 0.941771i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.711018 | + | 0.516585i | 0.0237667 | + | 0.0172675i | ||||
\(896\) | −0.951057 | + | 0.309017i | −0.0317726 | + | 0.0103235i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −17.0417 | + | 23.4559i | −0.568688 | + | 0.782732i | ||||
\(899\) | 2.37524 | − | 1.72571i | 0.0792186 | − | 0.0575557i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 0.193135i | − | 0.00643424i | ||||||
\(902\) | −5.35381 | + | 1.49751i | −0.178262 | + | 0.0498617i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.41407 | − | 1.43422i | −0.146810 | − | 0.0477013i | ||||
\(905\) | −1.95545 | − | 2.69145i | −0.0650015 | − | 0.0894669i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.29705 | + | 22.4580i | 0.242295 | + | 0.745706i | 0.996070 | + | 0.0885736i | \(0.0282309\pi\) |
−0.753775 | + | 0.657133i | \(0.771769\pi\) | |||||||
\(908\) | −3.64133 | − | 11.2069i | −0.120842 | − | 0.371913i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.359644 | − | 0.495007i | −0.0119221 | − | 0.0164093i | ||||
\(911\) | 33.6865 | + | 10.9454i | 1.11608 | + | 0.362638i | 0.808272 | − | 0.588809i | \(-0.200403\pi\) |
0.307813 | + | 0.951447i | \(0.400403\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −18.9708 | + | 5.30631i | −0.627841 | + | 0.175613i | ||||
\(914\) | − | 22.1116i | − | 0.731386i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 7.07753 | − | 5.14213i | 0.233848 | − | 0.169901i | ||||
\(917\) | 0.388779 | − | 0.535109i | 0.0128386 | − | 0.0176709i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 26.0766 | − | 8.47279i | 0.860187 | − | 0.279492i | 0.154480 | − | 0.987996i | \(-0.450630\pi\) |
0.705707 | + | 0.708504i | \(0.250630\pi\) | |||||||
\(920\) | −0.585159 | − | 0.425143i | −0.0192921 | − | 0.0140166i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.38714 | + | 4.26919i | −0.0456832 | + | 0.140598i | ||||
\(923\) | 3.54405 | 0.116654 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −40.7812 | −1.34088 | ||||||||
\(926\) | −7.92373 | + | 24.3867i | −0.260390 | + | 0.801398i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.367221 | + | 0.266802i | 0.0120546 | + | 0.00875820i | ||||
\(929\) | −27.4184 | + | 8.90878i | −0.899569 | + | 0.292288i | −0.722059 | − | 0.691831i | \(-0.756804\pi\) |
−0.177510 | + | 0.984119i | \(0.556804\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.54176 | − | 4.87481i | 0.116076 | − | 0.159765i | ||||
\(932\) | 16.8765 | − | 12.2615i | 0.552809 | − | 0.401639i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 16.7401i | − | 0.547752i | ||||||
\(935\) | −0.864959 | + | 0.575261i | −0.0282872 | + | 0.0188131i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −16.3128 | − | 5.30036i | −0.532917 | − | 0.173155i | 0.0301823 | − | 0.999544i | \(-0.490391\pi\) |
−0.563099 | + | 0.826389i | \(0.690391\pi\) | |||||||
\(938\) | 0.400000 | + | 0.550553i | 0.0130605 | + | 0.0179762i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.656906 | − | 2.02175i | −0.0214259 | − | 0.0659421i | ||||
\(941\) | 3.59334 | + | 11.0592i | 0.117140 | + | 0.360519i | 0.992387 | − | 0.123156i | \(-0.0393017\pi\) |
−0.875248 | + | 0.483675i | \(0.839302\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.64628 | − | 2.26591i | −0.0536102 | − | 0.0737880i | ||||
\(944\) | −5.76102 | − | 1.87187i | −0.187505 | − | 0.0609241i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.38499 | + | 17.1934i | −0.207594 | + | 0.559004i | ||||
\(947\) | − | 25.2047i | − | 0.819044i | −0.912300 | − | 0.409522i | \(-0.865695\pi\) | ||
0.912300 | − | 0.409522i | \(-0.134305\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.35424 | − | 5.34317i | 0.238729 | − | 0.173447i | ||||
\(950\) | 17.0451 | − | 23.4606i | 0.553017 | − | 0.761163i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.688147 | + | 0.223592i | −0.0223030 | + | 0.00724667i | ||||
\(953\) | 14.2361 | + | 10.3432i | 0.461154 | + | 0.335048i | 0.793984 | − | 0.607939i | \(-0.208003\pi\) |
−0.332830 | + | 0.942987i | \(0.608003\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.34218 | − | 7.20849i | 0.0757911 | − | 0.233261i | ||||
\(956\) | −10.4421 | −0.337723 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1.28756 | −0.0415991 | ||||||||
\(959\) | −3.54141 | + | 10.8993i | −0.114358 | + | 0.351958i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.76717 | − | 6.36973i | −0.282812 | − | 0.205475i | ||||
\(962\) | 11.3915 | − | 3.70133i | 0.367278 | − | 0.119336i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.87199 | − | 8.08210i | 0.189124 | − | 0.260307i | ||||
\(965\) | 4.50737 | − | 3.27480i | 0.145097 | − | 0.105419i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 39.0261i | − | 1.25499i | −0.778619 | − | 0.627497i | \(-0.784080\pi\) | ||
0.778619 | − | 0.627497i | \(-0.215920\pi\) | |||||||
\(968\) | −9.40367 | + | 5.70710i | −0.302245 | + | 0.183433i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 7.08574 | + | 2.30230i | 0.227509 | + | 0.0739223i | ||||
\(971\) | 18.2949 | + | 25.1808i | 0.587111 | + | 0.808089i | 0.994452 | − | 0.105187i | \(-0.0335441\pi\) |
−0.407342 | + | 0.913276i | \(0.633544\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.51713 | + | 7.74693i | 0.0806954 | + | 0.248355i | ||||
\(974\) | 8.06897 | + | 24.8337i | 0.258546 | + | 0.795724i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.467823 | + | 0.643903i | 0.0149746 | + | 0.0206108i | ||||
\(977\) | 49.1490 | + | 15.9695i | 1.57241 | + | 0.510909i | 0.960088 | − | 0.279697i | \(-0.0902339\pi\) |
0.612326 | + | 0.790605i | \(0.290234\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 28.8953 | + | 1.19752i | 0.923497 | + | 0.0382730i | ||||
\(980\) | − | 0.432868i | − | 0.0138275i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 34.1694 | − | 24.8255i | 1.09039 | − | 0.792215i | ||||
\(983\) | 26.3359 | − | 36.2483i | 0.839985 | − | 1.15614i | −0.145997 | − | 0.989285i | \(-0.546639\pi\) |
0.985981 | − | 0.166855i | \(-0.0533612\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.5059 | + | 3.41358i | −0.334746 | + | 0.108766i | ||||
\(986\) | 0.265707 | + | 0.193047i | 0.00846183 | + | 0.00614788i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.63197 | + | 8.10036i | −0.0837340 | + | 0.257707i | ||||
\(989\) | −9.24016 | −0.293820 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 26.8969 | 0.854409 | 0.427204 | − | 0.904155i | \(-0.359498\pi\) | ||||
0.427204 | + | 0.904155i | \(0.359498\pi\) | |||||||
\(992\) | 1.99876 | − | 6.15157i | 0.0634608 | − | 0.195312i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 2.02842 | + | 1.47374i | 0.0643377 | + | 0.0467441i | ||||
\(995\) | −9.80977 | + | 3.18739i | −0.310991 | + | 0.101047i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 32.3277 | − | 44.4953i | 1.02383 | − | 1.40918i | 0.114346 | − | 0.993441i | \(-0.463523\pi\) |
0.909483 | − | 0.415740i | \(-0.136477\pi\) | |||||||
\(998\) | −13.0478 | + | 9.47979i | −0.413021 | + | 0.300077i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1386.2.bu.b.827.7 | yes | 48 | |
3.2 | odd | 2 | 1386.2.bu.a.827.6 | ✓ | 48 | ||
11.6 | odd | 10 | 1386.2.bu.a.1205.6 | yes | 48 | ||
33.17 | even | 10 | inner | 1386.2.bu.b.1205.7 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bu.a.827.6 | ✓ | 48 | 3.2 | odd | 2 | ||
1386.2.bu.a.1205.6 | yes | 48 | 11.6 | odd | 10 | ||
1386.2.bu.b.827.7 | yes | 48 | 1.1 | even | 1 | trivial | |
1386.2.bu.b.1205.7 | yes | 48 | 33.17 | even | 10 | inner |