Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(481,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.481");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.n (of order \(5\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + 31 x^{14} + 20 x^{13} + 474 x^{12} + 463 x^{11} + 6637 x^{10} + 13567 x^{9} + \cdots + 22848400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 481.3 | ||
Root | \(1.03459 + 3.18415i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 930.481 |
Dual form | 930.2.n.g.901.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | + | 0.587785i | −0.572061 | + | 0.415627i | ||||
\(3\) | −0.809017 | − | 0.587785i | −0.467086 | − | 0.339358i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | 1.03459 | − | 3.18415i | 0.391039 | − | 1.20349i | −0.540965 | − | 0.841045i | \(-0.681941\pi\) |
0.932004 | − | 0.362449i | \(-0.118059\pi\) | |||||||
\(8\) | 0.309017 | + | 0.951057i | 0.109254 | + | 0.336249i | ||||
\(9\) | 0.309017 | + | 0.951057i | 0.103006 | + | 0.317019i | ||||
\(10\) | −0.809017 | + | 0.587785i | −0.255834 | + | 0.185874i | ||||
\(11\) | 1.50424 | − | 4.62958i | 0.453546 | − | 1.39587i | −0.419288 | − | 0.907853i | \(-0.637720\pi\) |
0.872834 | − | 0.488017i | \(-0.162280\pi\) | |||||||
\(12\) | −0.809017 | + | 0.587785i | −0.233543 | + | 0.169679i | ||||
\(13\) | −2.46770 | − | 1.79289i | −0.684418 | − | 0.497258i | 0.190403 | − | 0.981706i | \(-0.439021\pi\) |
−0.874820 | + | 0.484448i | \(0.839021\pi\) | |||||||
\(14\) | 1.03459 | + | 3.18415i | 0.276506 | + | 0.850999i | ||||
\(15\) | −0.809017 | − | 0.587785i | −0.208887 | − | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | −1.99805 | − | 6.14938i | −0.484599 | − | 1.49144i | −0.832561 | − | 0.553934i | \(-0.813126\pi\) |
0.347961 | − | 0.937509i | \(-0.386874\pi\) | |||||||
\(18\) | −0.809017 | − | 0.587785i | −0.190687 | − | 0.138542i | ||||
\(19\) | −6.48532 | + | 4.71186i | −1.48783 | + | 1.08097i | −0.512908 | + | 0.858444i | \(0.671432\pi\) |
−0.974926 | + | 0.222531i | \(0.928568\pi\) | |||||||
\(20\) | 0.309017 | − | 0.951057i | 0.0690983 | − | 0.212663i | ||||
\(21\) | −2.70860 | + | 1.96791i | −0.591064 | + | 0.429433i | ||||
\(22\) | 1.50424 | + | 4.62958i | 0.320705 | + | 0.987029i | ||||
\(23\) | 2.45267 | + | 7.54854i | 0.511417 | + | 1.57398i | 0.789708 | + | 0.613483i | \(0.210232\pi\) |
−0.278290 | + | 0.960497i | \(0.589768\pi\) | |||||||
\(24\) | 0.309017 | − | 0.951057i | 0.0630778 | − | 0.194134i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 3.05025 | 0.598203 | ||||||||
\(27\) | 0.309017 | − | 0.951057i | 0.0594703 | − | 0.183031i | ||||
\(28\) | −2.70860 | − | 1.96791i | −0.511877 | − | 0.371900i | ||||
\(29\) | 3.26327 | − | 2.37090i | 0.605974 | − | 0.440266i | −0.242020 | − | 0.970271i | \(-0.577810\pi\) |
0.847994 | + | 0.530005i | \(0.177810\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 0.262113 | + | 5.56159i | 0.0470769 | + | 0.998891i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −3.93815 | + | 2.86124i | −0.685545 | + | 0.498077i | ||||
\(34\) | 5.23097 | + | 3.80052i | 0.897104 | + | 0.651784i | ||||
\(35\) | 1.03459 | − | 3.18415i | 0.174878 | − | 0.538219i | ||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | −4.97717 | −0.818242 | −0.409121 | − | 0.912480i | \(-0.634165\pi\) | ||||
−0.409121 | + | 0.912480i | \(0.634165\pi\) | |||||||
\(38\) | 2.47717 | − | 7.62395i | 0.401850 | − | 1.23677i | ||||
\(39\) | 0.942579 | + | 2.90096i | 0.150933 | + | 0.464525i | ||||
\(40\) | 0.309017 | + | 0.951057i | 0.0488599 | + | 0.150375i | ||||
\(41\) | 0.430426 | − | 0.312723i | 0.0672213 | − | 0.0488391i | −0.553667 | − | 0.832738i | \(-0.686772\pi\) |
0.620888 | + | 0.783899i | \(0.286772\pi\) | |||||||
\(42\) | 1.03459 | − | 3.18415i | 0.159641 | − | 0.491324i | ||||
\(43\) | 1.69577 | − | 1.23205i | 0.258602 | − | 0.187885i | −0.450928 | − | 0.892560i | \(-0.648907\pi\) |
0.709531 | + | 0.704675i | \(0.248907\pi\) | |||||||
\(44\) | −3.93815 | − | 2.86124i | −0.593699 | − | 0.431348i | ||||
\(45\) | 0.309017 | + | 0.951057i | 0.0460655 | + | 0.141775i | ||||
\(46\) | −6.42118 | − | 4.66526i | −0.946751 | − | 0.687855i | ||||
\(47\) | −10.9469 | − | 7.95340i | −1.59677 | − | 1.16012i | −0.893362 | − | 0.449337i | \(-0.851660\pi\) |
−0.703409 | − | 0.710786i | \(-0.748340\pi\) | |||||||
\(48\) | 0.309017 | + | 0.951057i | 0.0446028 | + | 0.137273i | ||||
\(49\) | −3.40529 | − | 2.47409i | −0.486470 | − | 0.353441i | ||||
\(50\) | −0.809017 | + | 0.587785i | −0.114412 | + | 0.0831254i | ||||
\(51\) | −1.99805 | + | 6.14938i | −0.279783 | + | 0.861085i | ||||
\(52\) | −2.46770 | + | 1.79289i | −0.342209 | + | 0.248629i | ||||
\(53\) | −1.98646 | − | 6.11370i | −0.272861 | − | 0.839781i | −0.989777 | − | 0.142621i | \(-0.954447\pi\) |
0.716916 | − | 0.697160i | \(-0.245553\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | 1.50424 | − | 4.62958i | 0.202832 | − | 0.624252i | ||||
\(56\) | 3.34801 | 0.447397 | ||||||||
\(57\) | 8.01629 | 1.06178 | ||||||||
\(58\) | −1.24646 | + | 3.83620i | −0.163668 | + | 0.503718i | ||||
\(59\) | 2.86977 | + | 2.08501i | 0.373613 | + | 0.271445i | 0.758707 | − | 0.651432i | \(-0.225831\pi\) |
−0.385095 | + | 0.922877i | \(0.625831\pi\) | |||||||
\(60\) | −0.809017 | + | 0.587785i | −0.104444 | + | 0.0758827i | ||||
\(61\) | −12.8491 | −1.64516 | −0.822578 | − | 0.568653i | \(-0.807465\pi\) | ||||
−0.822578 | + | 0.568653i | \(0.807465\pi\) | |||||||
\(62\) | −3.48108 | − | 4.34536i | −0.442097 | − | 0.551861i | ||||
\(63\) | 3.34801 | 0.421810 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −2.46770 | − | 1.79289i | −0.306081 | − | 0.222381i | ||||
\(66\) | 1.50424 | − | 4.62958i | 0.185159 | − | 0.569862i | ||||
\(67\) | −1.70715 | −0.208561 | −0.104281 | − | 0.994548i | \(-0.533254\pi\) | ||||
−0.104281 | + | 0.994548i | \(0.533254\pi\) | |||||||
\(68\) | −6.46584 | −0.784098 | ||||||||
\(69\) | 2.45267 | − | 7.54854i | 0.295267 | − | 0.908738i | ||||
\(70\) | 1.03459 | + | 3.18415i | 0.123657 | + | 0.380578i | ||||
\(71\) | 2.29986 | + | 7.07823i | 0.272943 | + | 0.840031i | 0.989756 | + | 0.142766i | \(0.0455998\pi\) |
−0.716814 | + | 0.697265i | \(0.754400\pi\) | |||||||
\(72\) | −0.809017 | + | 0.587785i | −0.0953436 | + | 0.0692712i | ||||
\(73\) | 3.21789 | − | 9.90364i | 0.376625 | − | 1.15913i | −0.565751 | − | 0.824576i | \(-0.691413\pi\) |
0.942376 | − | 0.334557i | \(-0.108587\pi\) | |||||||
\(74\) | 4.02662 | − | 2.92551i | 0.468085 | − | 0.340083i | ||||
\(75\) | −0.809017 | − | 0.587785i | −0.0934172 | − | 0.0678716i | ||||
\(76\) | 2.47717 | + | 7.62395i | 0.284151 | + | 0.874527i | ||||
\(77\) | −13.1850 | − | 9.57945i | −1.50257 | − | 1.09168i | ||||
\(78\) | −2.46770 | − | 1.79289i | −0.279412 | − | 0.203005i | ||||
\(79\) | 1.45620 | + | 4.48172i | 0.163835 | + | 0.504233i | 0.998949 | − | 0.0458450i | \(-0.0145980\pi\) |
−0.835113 | + | 0.550078i | \(0.814598\pi\) | |||||||
\(80\) | −0.809017 | − | 0.587785i | −0.0904508 | − | 0.0657164i | ||||
\(81\) | −0.809017 | + | 0.587785i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −0.164408 | + | 0.505996i | −0.0181558 | + | 0.0558779i | ||||
\(83\) | 6.03442 | − | 4.38427i | 0.662364 | − | 0.481236i | −0.205096 | − | 0.978742i | \(-0.565751\pi\) |
0.867461 | + | 0.497506i | \(0.165751\pi\) | |||||||
\(84\) | 1.03459 | + | 3.18415i | 0.112883 | + | 0.347419i | ||||
\(85\) | −1.99805 | − | 6.14938i | −0.216719 | − | 0.666994i | ||||
\(86\) | −0.647726 | + | 1.99349i | −0.0698461 | + | 0.214964i | ||||
\(87\) | −4.03362 | −0.432450 | ||||||||
\(88\) | 4.86783 | 0.518912 | ||||||||
\(89\) | 2.48197 | − | 7.63872i | 0.263088 | − | 0.809703i | −0.729039 | − | 0.684472i | \(-0.760033\pi\) |
0.992128 | − | 0.125231i | \(-0.0399672\pi\) | |||||||
\(90\) | −0.809017 | − | 0.587785i | −0.0852779 | − | 0.0619580i | ||||
\(91\) | −8.26189 | + | 6.00262i | −0.866082 | + | 0.629245i | ||||
\(92\) | 7.93701 | 0.827490 | ||||||||
\(93\) | 3.05697 | − | 4.65349i | 0.316993 | − | 0.482544i | ||||
\(94\) | 13.5311 | 1.39563 | ||||||||
\(95\) | −6.48532 | + | 4.71186i | −0.665379 | + | 0.483426i | ||||
\(96\) | −0.809017 | − | 0.587785i | −0.0825700 | − | 0.0599906i | ||||
\(97\) | 0.438243 | − | 1.34877i | 0.0444968 | − | 0.136947i | −0.926340 | − | 0.376689i | \(-0.877063\pi\) |
0.970837 | + | 0.239741i | \(0.0770627\pi\) | |||||||
\(98\) | 4.20917 | 0.425190 | ||||||||
\(99\) | 4.86783 | 0.489235 | ||||||||
\(100\) | 0.309017 | − | 0.951057i | 0.0309017 | − | 0.0951057i | ||||
\(101\) | −5.25414 | − | 16.1706i | −0.522806 | − | 1.60903i | −0.768613 | − | 0.639713i | \(-0.779053\pi\) |
0.245807 | − | 0.969319i | \(-0.420947\pi\) | |||||||
\(102\) | −1.99805 | − | 6.14938i | −0.197837 | − | 0.608879i | ||||
\(103\) | 9.32762 | − | 6.77691i | 0.919077 | − | 0.667749i | −0.0242167 | − | 0.999707i | \(-0.507709\pi\) |
0.943294 | + | 0.331958i | \(0.107709\pi\) | |||||||
\(104\) | 0.942579 | − | 2.90096i | 0.0924274 | − | 0.284462i | ||||
\(105\) | −2.70860 | + | 1.96791i | −0.264332 | + | 0.192048i | ||||
\(106\) | 5.20062 | + | 3.77847i | 0.505129 | + | 0.366998i | ||||
\(107\) | −1.77144 | − | 5.45192i | −0.171251 | − | 0.527057i | 0.828191 | − | 0.560445i | \(-0.189370\pi\) |
−0.999442 | + | 0.0333887i | \(0.989370\pi\) | |||||||
\(108\) | −0.809017 | − | 0.587785i | −0.0778477 | − | 0.0565597i | ||||
\(109\) | 4.59104 | + | 3.33559i | 0.439742 | + | 0.319491i | 0.785533 | − | 0.618820i | \(-0.212389\pi\) |
−0.345790 | + | 0.938312i | \(0.612389\pi\) | |||||||
\(110\) | 1.50424 | + | 4.62958i | 0.143424 | + | 0.441413i | ||||
\(111\) | 4.02662 | + | 2.92551i | 0.382190 | + | 0.277677i | ||||
\(112\) | −2.70860 | + | 1.96791i | −0.255938 | + | 0.185950i | ||||
\(113\) | −1.96875 | + | 6.05920i | −0.185205 | + | 0.570001i | −0.999952 | − | 0.00981504i | \(-0.996876\pi\) |
0.814747 | + | 0.579816i | \(0.196876\pi\) | |||||||
\(114\) | −6.48532 | + | 4.71186i | −0.607406 | + | 0.441306i | ||||
\(115\) | 2.45267 | + | 7.54854i | 0.228713 | + | 0.703905i | ||||
\(116\) | −1.24646 | − | 3.83620i | −0.115731 | − | 0.356183i | ||||
\(117\) | 0.942579 | − | 2.90096i | 0.0871414 | − | 0.268194i | ||||
\(118\) | −3.54723 | −0.326549 | ||||||||
\(119\) | −21.6477 | −1.98444 | ||||||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | −10.2711 | − | 7.46236i | −0.933733 | − | 0.678397i | ||||
\(122\) | 10.3951 | − | 7.55250i | 0.941130 | − | 0.683771i | ||||
\(123\) | −0.532036 | −0.0479721 | ||||||||
\(124\) | 5.37038 | + | 1.46934i | 0.482275 | + | 0.131951i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −2.70860 | + | 1.96791i | −0.241301 | + | 0.175315i | ||||
\(127\) | −11.1390 | − | 8.09294i | −0.988425 | − | 0.718133i | −0.0288492 | − | 0.999584i | \(-0.509184\pi\) |
−0.959576 | + | 0.281451i | \(0.909184\pi\) | |||||||
\(128\) | 0.309017 | − | 0.951057i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | −2.09608 | −0.184550 | ||||||||
\(130\) | 3.05025 | 0.267524 | ||||||||
\(131\) | 0.0277742 | − | 0.0854802i | 0.00242664 | − | 0.00746844i | −0.949836 | − | 0.312749i | \(-0.898750\pi\) |
0.952263 | + | 0.305280i | \(0.0987502\pi\) | |||||||
\(132\) | 1.50424 | + | 4.62958i | 0.130927 | + | 0.402953i | ||||
\(133\) | 8.29359 | + | 25.5250i | 0.719145 | + | 2.21330i | ||||
\(134\) | 1.38111 | − | 1.00344i | 0.119310 | − | 0.0866837i | ||||
\(135\) | 0.309017 | − | 0.951057i | 0.0265959 | − | 0.0818539i | ||||
\(136\) | 5.23097 | − | 3.80052i | 0.448552 | − | 0.325892i | ||||
\(137\) | 14.6549 | + | 10.6474i | 1.25206 | + | 0.909672i | 0.998339 | − | 0.0576070i | \(-0.0183470\pi\) |
0.253716 | + | 0.967279i | \(0.418347\pi\) | |||||||
\(138\) | 2.45267 | + | 7.54854i | 0.208785 | + | 0.642575i | ||||
\(139\) | −0.791701 | − | 0.575205i | −0.0671512 | − | 0.0487882i | 0.553703 | − | 0.832714i | \(-0.313214\pi\) |
−0.620854 | + | 0.783926i | \(0.713214\pi\) | |||||||
\(140\) | −2.70860 | − | 1.96791i | −0.228918 | − | 0.166319i | ||||
\(141\) | 4.18135 | + | 12.8689i | 0.352133 | + | 1.08375i | ||||
\(142\) | −6.02110 | − | 4.37459i | −0.505280 | − | 0.367107i | ||||
\(143\) | −12.0123 | + | 8.72748i | −1.00452 | + | 0.729829i | ||||
\(144\) | 0.309017 | − | 0.951057i | 0.0257514 | − | 0.0792547i | ||||
\(145\) | 3.26327 | − | 2.37090i | 0.271000 | − | 0.196893i | ||||
\(146\) | 3.21789 | + | 9.90364i | 0.266314 | + | 0.819631i | ||||
\(147\) | 1.30070 | + | 4.00316i | 0.107280 | + | 0.330175i | ||||
\(148\) | −1.53803 | + | 4.73357i | −0.126425 | + | 0.389097i | ||||
\(149\) | 19.6302 | 1.60817 | 0.804085 | − | 0.594514i | \(-0.202656\pi\) | ||||
0.804085 | + | 0.594514i | \(0.202656\pi\) | |||||||
\(150\) | 1.00000 | 0.0816497 | ||||||||
\(151\) | −3.65243 | + | 11.2410i | −0.297231 | + | 0.914782i | 0.685232 | + | 0.728325i | \(0.259701\pi\) |
−0.982463 | + | 0.186458i | \(0.940299\pi\) | |||||||
\(152\) | −6.48532 | − | 4.71186i | −0.526029 | − | 0.382182i | ||||
\(153\) | 5.23097 | − | 3.80052i | 0.422899 | − | 0.307254i | ||||
\(154\) | 16.2975 | 1.31329 | ||||||||
\(155\) | 0.262113 | + | 5.56159i | 0.0210534 | + | 0.446718i | ||||
\(156\) | 3.05025 | 0.244215 | ||||||||
\(157\) | 4.56771 | − | 3.31863i | 0.364543 | − | 0.264856i | −0.390402 | − | 0.920645i | \(-0.627664\pi\) |
0.754944 | + | 0.655789i | \(0.227664\pi\) | |||||||
\(158\) | −3.81238 | − | 2.76985i | −0.303296 | − | 0.220358i | ||||
\(159\) | −1.98646 | + | 6.11370i | −0.157537 | + | 0.484848i | ||||
\(160\) | 1.00000 | 0.0790569 | ||||||||
\(161\) | 26.5732 | 2.09426 | ||||||||
\(162\) | 0.309017 | − | 0.951057i | 0.0242787 | − | 0.0747221i | ||||
\(163\) | −0.185547 | − | 0.571054i | −0.0145331 | − | 0.0447284i | 0.943527 | − | 0.331296i | \(-0.107486\pi\) |
−0.958060 | + | 0.286567i | \(0.907486\pi\) | |||||||
\(164\) | −0.164408 | − | 0.505996i | −0.0128381 | − | 0.0395117i | ||||
\(165\) | −3.93815 | + | 2.86124i | −0.306585 | + | 0.222747i | ||||
\(166\) | −2.30495 | + | 7.09389i | −0.178898 | + | 0.550593i | ||||
\(167\) | 15.5217 | − | 11.2772i | 1.20111 | − | 0.872656i | 0.206715 | − | 0.978401i | \(-0.433723\pi\) |
0.994393 | + | 0.105745i | \(0.0337228\pi\) | |||||||
\(168\) | −2.70860 | − | 1.96791i | −0.208973 | − | 0.151828i | ||||
\(169\) | −1.14212 | − | 3.51509i | −0.0878555 | − | 0.270392i | ||||
\(170\) | 5.23097 | + | 3.80052i | 0.401197 | + | 0.291487i | ||||
\(171\) | −6.48532 | − | 4.71186i | −0.495945 | − | 0.360325i | ||||
\(172\) | −0.647726 | − | 1.99349i | −0.0493886 | − | 0.152003i | ||||
\(173\) | −8.36359 | − | 6.07651i | −0.635872 | − | 0.461988i | 0.222557 | − | 0.974920i | \(-0.428560\pi\) |
−0.858430 | + | 0.512931i | \(0.828560\pi\) | |||||||
\(174\) | 3.26327 | − | 2.37090i | 0.247388 | − | 0.179738i | ||||
\(175\) | 1.03459 | − | 3.18415i | 0.0782078 | − | 0.240699i | ||||
\(176\) | −3.93815 | + | 2.86124i | −0.296850 | + | 0.215674i | ||||
\(177\) | −1.09616 | − | 3.37362i | −0.0823921 | − | 0.253577i | ||||
\(178\) | 2.48197 | + | 7.63872i | 0.186032 | + | 0.572547i | ||||
\(179\) | −1.55063 | + | 4.77233i | −0.115899 | + | 0.356701i | −0.992134 | − | 0.125184i | \(-0.960048\pi\) |
0.876234 | + | 0.481885i | \(0.160048\pi\) | |||||||
\(180\) | 1.00000 | 0.0745356 | ||||||||
\(181\) | 15.3207 | 1.13878 | 0.569389 | − | 0.822068i | \(-0.307180\pi\) | ||||
0.569389 | + | 0.822068i | \(0.307180\pi\) | |||||||
\(182\) | 3.15576 | − | 9.71244i | 0.233921 | − | 0.719934i | ||||
\(183\) | 10.3951 | + | 7.55250i | 0.768429 | + | 0.558297i | ||||
\(184\) | −6.42118 | + | 4.66526i | −0.473375 | + | 0.343927i | ||||
\(185\) | −4.97717 | −0.365929 | ||||||||
\(186\) | 0.262113 | + | 5.56159i | 0.0192191 | + | 0.407796i | ||||
\(187\) | −31.4746 | −2.30165 | ||||||||
\(188\) | −10.9469 | + | 7.95340i | −0.798386 | + | 0.580061i | ||||
\(189\) | −2.70860 | − | 1.96791i | −0.197021 | − | 0.143144i | ||||
\(190\) | 2.47717 | − | 7.62395i | 0.179713 | − | 0.553099i | ||||
\(191\) | 2.99484 | 0.216699 | 0.108349 | − | 0.994113i | \(-0.465443\pi\) | ||||
0.108349 | + | 0.994113i | \(0.465443\pi\) | |||||||
\(192\) | 1.00000 | 0.0721688 | ||||||||
\(193\) | −7.86639 | + | 24.2103i | −0.566235 | + | 1.74269i | 0.0980165 | + | 0.995185i | \(0.468750\pi\) |
−0.664252 | + | 0.747509i | \(0.731250\pi\) | |||||||
\(194\) | 0.438243 | + | 1.34877i | 0.0314640 | + | 0.0968363i | ||||
\(195\) | 0.942579 | + | 2.90096i | 0.0674995 | + | 0.207742i | ||||
\(196\) | −3.40529 | + | 2.47409i | −0.243235 | + | 0.176720i | ||||
\(197\) | 7.48006 | − | 23.0213i | 0.532932 | − | 1.64020i | −0.215143 | − | 0.976583i | \(-0.569022\pi\) |
0.748075 | − | 0.663614i | \(-0.230978\pi\) | |||||||
\(198\) | −3.93815 | + | 2.86124i | −0.279872 | + | 0.203339i | ||||
\(199\) | 12.6754 | + | 9.20920i | 0.898534 | + | 0.652823i | 0.938089 | − | 0.346394i | \(-0.112594\pi\) |
−0.0395552 | + | 0.999217i | \(0.512594\pi\) | |||||||
\(200\) | 0.309017 | + | 0.951057i | 0.0218508 | + | 0.0672499i | ||||
\(201\) | 1.38111 | + | 1.00344i | 0.0974161 | + | 0.0707769i | ||||
\(202\) | 13.7555 | + | 9.99396i | 0.967834 | + | 0.703173i | ||||
\(203\) | −4.17315 | − | 12.8436i | −0.292898 | − | 0.901447i | ||||
\(204\) | 5.23097 | + | 3.80052i | 0.366241 | + | 0.266090i | ||||
\(205\) | 0.430426 | − | 0.312723i | 0.0300623 | − | 0.0218415i | ||||
\(206\) | −3.56283 | + | 10.9653i | −0.248234 | + | 0.763987i | ||||
\(207\) | −6.42118 | + | 4.66526i | −0.446303 | + | 0.324258i | ||||
\(208\) | 0.942579 | + | 2.90096i | 0.0653561 | + | 0.201145i | ||||
\(209\) | 12.0584 | + | 37.1120i | 0.834099 | + | 2.56709i | ||||
\(210\) | 1.03459 | − | 3.18415i | 0.0713936 | − | 0.219727i | ||||
\(211\) | −8.39359 | −0.577838 | −0.288919 | − | 0.957353i | \(-0.593296\pi\) | ||||
−0.288919 | + | 0.957353i | \(0.593296\pi\) | |||||||
\(212\) | −6.42832 | −0.441499 | ||||||||
\(213\) | 2.29986 | − | 7.07823i | 0.157584 | − | 0.484992i | ||||
\(214\) | 4.63768 | + | 3.36947i | 0.317025 | + | 0.230332i | ||||
\(215\) | 1.69577 | − | 1.23205i | 0.115650 | − | 0.0840249i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 17.9801 | + | 4.91937i | 1.22057 | + | 0.333949i | ||||
\(218\) | −5.67484 | −0.384349 | ||||||||
\(219\) | −8.42454 | + | 6.12078i | −0.569277 | + | 0.413604i | ||||
\(220\) | −3.93815 | − | 2.86124i | −0.265510 | − | 0.192905i | ||||
\(221\) | −6.09456 | + | 18.7571i | −0.409964 | + | 1.26174i | ||||
\(222\) | −4.97717 | −0.334046 | ||||||||
\(223\) | −26.5441 | −1.77753 | −0.888763 | − | 0.458367i | \(-0.848435\pi\) | ||||
−0.888763 | + | 0.458367i | \(0.848435\pi\) | |||||||
\(224\) | 1.03459 | − | 3.18415i | 0.0691266 | − | 0.212750i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | −1.96875 | − | 6.05920i | −0.130959 | − | 0.403052i | ||||
\(227\) | −6.71530 | + | 4.87895i | −0.445710 | + | 0.323827i | −0.787900 | − | 0.615804i | \(-0.788831\pi\) |
0.342190 | + | 0.939631i | \(0.388831\pi\) | |||||||
\(228\) | 2.47717 | − | 7.62395i | 0.164055 | − | 0.504908i | ||||
\(229\) | 4.16080 | − | 3.02300i | 0.274953 | − | 0.199765i | −0.441760 | − | 0.897133i | \(-0.645646\pi\) |
0.716713 | + | 0.697368i | \(0.245646\pi\) | |||||||
\(230\) | −6.42118 | − | 4.66526i | −0.423400 | − | 0.307618i | ||||
\(231\) | 5.03621 | + | 15.4999i | 0.331358 | + | 1.01982i | ||||
\(232\) | 3.26327 | + | 2.37090i | 0.214244 | + | 0.155657i | ||||
\(233\) | −2.09838 | − | 1.52456i | −0.137469 | − | 0.0998774i | 0.516925 | − | 0.856031i | \(-0.327077\pi\) |
−0.654395 | + | 0.756153i | \(0.727077\pi\) | |||||||
\(234\) | 0.942579 | + | 2.90096i | 0.0616183 | + | 0.189642i | ||||
\(235\) | −10.9469 | − | 7.95340i | −0.714098 | − | 0.518822i | ||||
\(236\) | 2.86977 | − | 2.08501i | 0.186806 | − | 0.135723i | ||||
\(237\) | 1.45620 | − | 4.48172i | 0.0945903 | − | 0.291119i | ||||
\(238\) | 17.5133 | − | 12.7242i | 1.13522 | − | 0.824787i | ||||
\(239\) | −1.82378 | − | 5.61300i | −0.117970 | − | 0.363075i | 0.874585 | − | 0.484873i | \(-0.161134\pi\) |
−0.992555 | + | 0.121798i | \(0.961134\pi\) | |||||||
\(240\) | 0.309017 | + | 0.951057i | 0.0199470 | + | 0.0613904i | ||||
\(241\) | 4.67464 | − | 14.3871i | 0.301120 | − | 0.926752i | −0.679977 | − | 0.733234i | \(-0.738010\pi\) |
0.981097 | − | 0.193519i | \(-0.0619900\pi\) | |||||||
\(242\) | 12.6957 | 0.816113 | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −3.97058 | + | 12.2202i | −0.254190 | + | 0.782318i | ||||
\(245\) | −3.40529 | − | 2.47409i | −0.217556 | − | 0.158064i | ||||
\(246\) | 0.430426 | − | 0.312723i | 0.0274430 | − | 0.0199385i | ||||
\(247\) | 24.4517 | 1.55582 | ||||||||
\(248\) | −5.20839 | + | 1.96791i | −0.330733 | + | 0.124962i | ||||
\(249\) | −7.45896 | −0.472692 | ||||||||
\(250\) | −0.809017 | + | 0.587785i | −0.0511667 | + | 0.0371748i | ||||
\(251\) | 15.2517 | + | 11.0810i | 0.962676 | + | 0.699425i | 0.953771 | − | 0.300535i | \(-0.0971652\pi\) |
0.00890553 | + | 0.999960i | \(0.497165\pi\) | |||||||
\(252\) | 1.03459 | − | 3.18415i | 0.0651732 | − | 0.200582i | ||||
\(253\) | 38.6360 | 2.42902 | ||||||||
\(254\) | 13.7685 | 0.863915 | ||||||||
\(255\) | −1.99805 | + | 6.14938i | −0.125123 | + | 0.385089i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −2.29966 | − | 7.07764i | −0.143449 | − | 0.441491i | 0.853359 | − | 0.521323i | \(-0.174561\pi\) |
−0.996808 | + | 0.0798324i | \(0.974561\pi\) | |||||||
\(258\) | 1.69577 | − | 1.23205i | 0.105574 | − | 0.0767039i | ||||
\(259\) | −5.14934 | + | 15.8480i | −0.319964 | + | 0.984749i | ||||
\(260\) | −2.46770 | + | 1.79289i | −0.153040 | + | 0.111190i | ||||
\(261\) | 3.26327 | + | 2.37090i | 0.201991 | + | 0.146755i | ||||
\(262\) | 0.0277742 | + | 0.0854802i | 0.00171590 | + | 0.00528098i | ||||
\(263\) | 21.7135 | + | 15.7758i | 1.33891 | + | 0.972775i | 0.999483 | + | 0.0321420i | \(0.0102329\pi\) |
0.339426 | + | 0.940633i | \(0.389767\pi\) | |||||||
\(264\) | −3.93815 | − | 2.86124i | −0.242377 | − | 0.176097i | ||||
\(265\) | −1.98646 | − | 6.11370i | −0.122027 | − | 0.375561i | ||||
\(266\) | −21.7129 | − | 15.7753i | −1.33130 | − | 0.967248i | ||||
\(267\) | −6.49789 | + | 4.72099i | −0.397664 | + | 0.288920i | ||||
\(268\) | −0.527538 | + | 1.62359i | −0.0322245 | + | 0.0991768i | ||||
\(269\) | 1.59428 | − | 1.15831i | 0.0972050 | − | 0.0706236i | −0.538121 | − | 0.842868i | \(-0.680866\pi\) |
0.635326 | + | 0.772244i | \(0.280866\pi\) | |||||||
\(270\) | 0.309017 | + | 0.951057i | 0.0188062 | + | 0.0578795i | ||||
\(271\) | 1.47408 | + | 4.53675i | 0.0895439 | + | 0.275588i | 0.985793 | − | 0.167963i | \(-0.0537188\pi\) |
−0.896250 | + | 0.443550i | \(0.853719\pi\) | |||||||
\(272\) | −1.99805 | + | 6.14938i | −0.121150 | + | 0.372861i | ||||
\(273\) | 10.2123 | 0.618074 | ||||||||
\(274\) | −18.1145 | −1.09434 | ||||||||
\(275\) | 1.50424 | − | 4.62958i | 0.0907091 | − | 0.279174i | ||||
\(276\) | −6.42118 | − | 4.66526i | −0.386509 | − | 0.280815i | ||||
\(277\) | −10.0908 | + | 7.33140i | −0.606297 | + | 0.440501i | −0.848109 | − | 0.529822i | \(-0.822259\pi\) |
0.241811 | + | 0.970323i | \(0.422259\pi\) | |||||||
\(278\) | 0.978596 | 0.0586923 | ||||||||
\(279\) | −5.20839 | + | 1.96791i | −0.311818 | + | 0.117816i | ||||
\(280\) | 3.34801 | 0.200082 | ||||||||
\(281\) | 3.64008 | − | 2.64467i | 0.217149 | − | 0.157768i | −0.473894 | − | 0.880582i | \(-0.657152\pi\) |
0.691042 | + | 0.722814i | \(0.257152\pi\) | |||||||
\(282\) | −10.9469 | − | 7.95340i | −0.651879 | − | 0.473618i | ||||
\(283\) | 2.41871 | − | 7.44402i | 0.143777 | − | 0.442501i | −0.853074 | − | 0.521789i | \(-0.825265\pi\) |
0.996852 | + | 0.0792881i | \(0.0252647\pi\) | |||||||
\(284\) | 7.44249 | 0.441631 | ||||||||
\(285\) | 8.01629 | 0.474844 | ||||||||
\(286\) | 4.58831 | − | 14.1214i | 0.271312 | − | 0.835014i | ||||
\(287\) | −0.550440 | − | 1.69408i | −0.0324914 | − | 0.0999984i | ||||
\(288\) | 0.309017 | + | 0.951057i | 0.0182090 | + | 0.0560415i | ||||
\(289\) | −20.0693 | + | 14.5812i | −1.18055 | + | 0.857719i | ||||
\(290\) | −1.24646 | + | 3.83620i | −0.0731945 | + | 0.225270i | ||||
\(291\) | −1.14734 | + | 0.833588i | −0.0672580 | + | 0.0488658i | ||||
\(292\) | −8.42454 | − | 6.12078i | −0.493009 | − | 0.358192i | ||||
\(293\) | 4.59578 | + | 14.1444i | 0.268489 | + | 0.826323i | 0.990869 | + | 0.134827i | \(0.0430479\pi\) |
−0.722381 | + | 0.691496i | \(0.756952\pi\) | |||||||
\(294\) | −3.40529 | − | 2.47409i | −0.198600 | − | 0.144292i | ||||
\(295\) | 2.86977 | + | 2.08501i | 0.167085 | + | 0.121394i | ||||
\(296\) | −1.53803 | − | 4.73357i | −0.0893962 | − | 0.275133i | ||||
\(297\) | −3.93815 | − | 2.86124i | −0.228515 | − | 0.166026i | ||||
\(298\) | −15.8812 | + | 11.5384i | −0.919972 | + | 0.668399i | ||||
\(299\) | 7.48126 | − | 23.0249i | 0.432652 | − | 1.33157i | ||||
\(300\) | −0.809017 | + | 0.587785i | −0.0467086 | + | 0.0339358i | ||||
\(301\) | −2.16859 | − | 6.67424i | −0.124996 | − | 0.384697i | ||||
\(302\) | −3.65243 | − | 11.2410i | −0.210174 | − | 0.646849i | ||||
\(303\) | −5.25414 | + | 16.1706i | −0.301842 | + | 0.928975i | ||||
\(304\) | 8.01629 | 0.459766 | ||||||||
\(305\) | −12.8491 | −0.735736 | ||||||||
\(306\) | −1.99805 | + | 6.14938i | −0.114221 | + | 0.351536i | ||||
\(307\) | −16.8265 | − | 12.2252i | −0.960340 | − | 0.697728i | −0.00711065 | − | 0.999975i | \(-0.502263\pi\) |
−0.953230 | + | 0.302247i | \(0.902263\pi\) | |||||||
\(308\) | −13.1850 | + | 9.57945i | −0.751284 | + | 0.545840i | ||||
\(309\) | −11.5296 | −0.655894 | ||||||||
\(310\) | −3.48108 | − | 4.34536i | −0.197712 | − | 0.246800i | ||||
\(311\) | −21.2493 | −1.20494 | −0.602470 | − | 0.798142i | \(-0.705817\pi\) | ||||
−0.602470 | + | 0.798142i | \(0.705817\pi\) | |||||||
\(312\) | −2.46770 | + | 1.79289i | −0.139706 | + | 0.101502i | ||||
\(313\) | −12.5839 | − | 9.14275i | −0.711285 | − | 0.516779i | 0.172303 | − | 0.985044i | \(-0.444879\pi\) |
−0.883588 | + | 0.468265i | \(0.844879\pi\) | |||||||
\(314\) | −1.74471 | + | 5.36966i | −0.0984597 | + | 0.303028i | ||||
\(315\) | 3.34801 | 0.188639 | ||||||||
\(316\) | 4.71236 | 0.265091 | ||||||||
\(317\) | −5.69864 | + | 17.5386i | −0.320067 | + | 0.985066i | 0.653551 | + | 0.756883i | \(0.273279\pi\) |
−0.973618 | + | 0.228183i | \(0.926721\pi\) | |||||||
\(318\) | −1.98646 | − | 6.11370i | −0.111395 | − | 0.342839i | ||||
\(319\) | −6.06754 | − | 18.6740i | −0.339717 | − | 1.04554i | ||||
\(320\) | −0.809017 | + | 0.587785i | −0.0452254 | + | 0.0328582i | ||||
\(321\) | −1.77144 | + | 5.45192i | −0.0988719 | + | 0.304296i | ||||
\(322\) | −21.4982 | + | 15.6193i | −1.19805 | + | 0.870431i | ||||
\(323\) | 41.9330 | + | 30.4661i | 2.33321 | + | 1.69518i | ||||
\(324\) | 0.309017 | + | 0.951057i | 0.0171676 | + | 0.0528365i | ||||
\(325\) | −2.46770 | − | 1.79289i | −0.136884 | − | 0.0994517i | ||||
\(326\) | 0.485768 | + | 0.352931i | 0.0269042 | + | 0.0195470i | ||||
\(327\) | −1.75362 | − | 5.39710i | −0.0969756 | − | 0.298460i | ||||
\(328\) | 0.430426 | + | 0.312723i | 0.0237663 | + | 0.0172672i | ||||
\(329\) | −36.6504 | + | 26.6280i | −2.02060 | + | 1.46805i | ||||
\(330\) | 1.50424 | − | 4.62958i | 0.0828057 | − | 0.254850i | ||||
\(331\) | 16.6662 | − | 12.1087i | 0.916059 | − | 0.665556i | −0.0264806 | − | 0.999649i | \(-0.508430\pi\) |
0.942540 | + | 0.334093i | \(0.108430\pi\) | |||||||
\(332\) | −2.30495 | − | 7.09389i | −0.126500 | − | 0.389328i | ||||
\(333\) | −1.53803 | − | 4.73357i | −0.0842836 | − | 0.259398i | ||||
\(334\) | −5.92878 | + | 18.2469i | −0.324408 | + | 0.998426i | ||||
\(335\) | −1.70715 | −0.0932714 | ||||||||
\(336\) | 3.34801 | 0.182649 | ||||||||
\(337\) | −2.40631 | + | 7.40587i | −0.131080 | + | 0.403423i | −0.994960 | − | 0.100275i | \(-0.968028\pi\) |
0.863880 | + | 0.503698i | \(0.168028\pi\) | |||||||
\(338\) | 2.99011 | + | 2.17245i | 0.162641 | + | 0.118165i | ||||
\(339\) | 5.15426 | − | 3.74479i | 0.279941 | − | 0.203389i | ||||
\(340\) | −6.46584 | −0.350659 | ||||||||
\(341\) | 26.1421 | + | 7.15250i | 1.41567 | + | 0.387330i | ||||
\(342\) | 8.01629 | 0.433471 | ||||||||
\(343\) | 7.55924 | − | 5.49211i | 0.408161 | − | 0.296546i | ||||
\(344\) | 1.69577 | + | 1.23205i | 0.0914297 | + | 0.0664276i | ||||
\(345\) | 2.45267 | − | 7.54854i | 0.132047 | − | 0.406400i | ||||
\(346\) | 10.3380 | 0.555773 | ||||||||
\(347\) | 2.01796 | 0.108330 | 0.0541649 | − | 0.998532i | \(-0.482750\pi\) | ||||
0.0541649 | + | 0.998532i | \(0.482750\pi\) | |||||||
\(348\) | −1.24646 | + | 3.83620i | −0.0668172 | + | 0.205642i | ||||
\(349\) | −7.17791 | − | 22.0913i | −0.384225 | − | 1.18252i | −0.937041 | − | 0.349219i | \(-0.886447\pi\) |
0.552816 | − | 0.833303i | \(-0.313553\pi\) | |||||||
\(350\) | 1.03459 | + | 3.18415i | 0.0553013 | + | 0.170200i | ||||
\(351\) | −2.46770 | + | 1.79289i | −0.131716 | + | 0.0956974i | ||||
\(352\) | 1.50424 | − | 4.62958i | 0.0801763 | − | 0.246757i | ||||
\(353\) | 18.1377 | − | 13.1778i | 0.965371 | − | 0.701383i | 0.0109789 | − | 0.999940i | \(-0.496505\pi\) |
0.954392 | + | 0.298557i | \(0.0965052\pi\) | |||||||
\(354\) | 2.86977 | + | 2.08501i | 0.152527 | + | 0.110817i | ||||
\(355\) | 2.29986 | + | 7.07823i | 0.122064 | + | 0.375673i | ||||
\(356\) | −6.49789 | − | 4.72099i | −0.344387 | − | 0.250212i | ||||
\(357\) | 17.5133 | + | 12.7242i | 0.926904 | + | 0.673435i | ||||
\(358\) | −1.55063 | − | 4.77233i | −0.0819531 | − | 0.252226i | ||||
\(359\) | −8.84747 | − | 6.42806i | −0.466952 | − | 0.339260i | 0.329300 | − | 0.944225i | \(-0.393187\pi\) |
−0.796252 | + | 0.604965i | \(0.793187\pi\) | |||||||
\(360\) | −0.809017 | + | 0.587785i | −0.0426389 | + | 0.0309790i | ||||
\(361\) | 13.9864 | − | 43.0457i | 0.736126 | − | 2.26556i | ||||
\(362\) | −12.3947 | + | 9.00528i | −0.651451 | + | 0.473307i | ||||
\(363\) | 3.92320 | + | 12.0744i | 0.205914 | + | 0.633739i | ||||
\(364\) | 3.15576 | + | 9.71244i | 0.165407 | + | 0.509070i | ||||
\(365\) | 3.21789 | − | 9.90364i | 0.168432 | − | 0.518380i | ||||
\(366\) | −12.8491 | −0.671632 | ||||||||
\(367\) | 35.7485 | 1.86606 | 0.933029 | − | 0.359802i | \(-0.117156\pi\) | ||||
0.933029 | + | 0.359802i | \(0.117156\pi\) | |||||||
\(368\) | 2.45267 | − | 7.54854i | 0.127854 | − | 0.393495i | ||||
\(369\) | 0.430426 | + | 0.312723i | 0.0224071 | + | 0.0162797i | ||||
\(370\) | 4.02662 | − | 2.92551i | 0.209334 | − | 0.152090i | ||||
\(371\) | −21.5221 | −1.11737 | ||||||||
\(372\) | −3.48108 | − | 4.34536i | −0.180485 | − | 0.225296i | ||||
\(373\) | −1.01571 | −0.0525915 | −0.0262957 | − | 0.999654i | \(-0.508371\pi\) | ||||
−0.0262957 | + | 0.999654i | \(0.508371\pi\) | |||||||
\(374\) | 25.4635 | − | 18.5003i | 1.31668 | − | 0.956627i | ||||
\(375\) | −0.809017 | − | 0.587785i | −0.0417775 | − | 0.0303531i | ||||
\(376\) | 4.18135 | − | 12.8689i | 0.215637 | − | 0.663661i | ||||
\(377\) | −12.3036 | −0.633665 | ||||||||
\(378\) | 3.34801 | 0.172203 | ||||||||
\(379\) | 2.43032 | − | 7.47976i | 0.124837 | − | 0.384210i | −0.869034 | − | 0.494752i | \(-0.835259\pi\) |
0.993871 | + | 0.110543i | \(0.0352588\pi\) | |||||||
\(380\) | 2.47717 | + | 7.62395i | 0.127076 | + | 0.391100i | ||||
\(381\) | 4.25471 | + | 13.0947i | 0.217976 | + | 0.670860i | ||||
\(382\) | −2.42287 | + | 1.76032i | −0.123965 | + | 0.0900658i | ||||
\(383\) | −9.13368 | + | 28.1106i | −0.466709 | + | 1.43638i | 0.390110 | + | 0.920768i | \(0.372437\pi\) |
−0.856820 | + | 0.515616i | \(0.827563\pi\) | |||||||
\(384\) | −0.809017 | + | 0.587785i | −0.0412850 | + | 0.0299953i | ||||
\(385\) | −13.1850 | − | 9.57945i | −0.671969 | − | 0.488214i | ||||
\(386\) | −7.86639 | − | 24.2103i | −0.400389 | − | 1.23227i | ||||
\(387\) | 1.69577 | + | 1.23205i | 0.0862007 | + | 0.0626285i | ||||
\(388\) | −1.14734 | − | 0.833588i | −0.0582471 | − | 0.0423190i | ||||
\(389\) | −7.69448 | − | 23.6812i | −0.390125 | − | 1.20068i | −0.932693 | − | 0.360671i | \(-0.882548\pi\) |
0.542568 | − | 0.840012i | \(-0.317452\pi\) | |||||||
\(390\) | −2.46770 | − | 1.79289i | −0.124957 | − | 0.0907866i | ||||
\(391\) | 41.5183 | − | 30.1648i | 2.09967 | − | 1.52550i | ||||
\(392\) | 1.30070 | − | 4.00316i | 0.0656955 | − | 0.202190i | ||||
\(393\) | −0.0727138 | + | 0.0528297i | −0.00366793 | + | 0.00266490i | ||||
\(394\) | 7.48006 | + | 23.0213i | 0.376840 | + | 1.15979i | ||||
\(395\) | 1.45620 | + | 4.48172i | 0.0732693 | + | 0.225500i | ||||
\(396\) | 1.50424 | − | 4.62958i | 0.0755910 | − | 0.232645i | ||||
\(397\) | 4.64449 | 0.233100 | 0.116550 | − | 0.993185i | \(-0.462816\pi\) | ||||
0.116550 | + | 0.993185i | \(0.462816\pi\) | |||||||
\(398\) | −15.6676 | −0.785347 | ||||||||
\(399\) | 8.29359 | − | 25.5250i | 0.415199 | − | 1.27785i | ||||
\(400\) | −0.809017 | − | 0.587785i | −0.0404508 | − | 0.0293893i | ||||
\(401\) | 23.2615 | − | 16.9005i | 1.16162 | − | 0.843970i | 0.171642 | − | 0.985159i | \(-0.445093\pi\) |
0.989983 | + | 0.141190i | \(0.0450927\pi\) | |||||||
\(402\) | −1.70715 | −0.0851448 | ||||||||
\(403\) | 9.32451 | − | 14.1943i | 0.464487 | − | 0.707068i | ||||
\(404\) | −17.0027 | −0.845918 | ||||||||
\(405\) | −0.809017 | + | 0.587785i | −0.0402004 | + | 0.0292073i | ||||
\(406\) | 10.9255 | + | 7.93781i | 0.542221 | + | 0.393947i | ||||
\(407\) | −7.48687 | + | 23.0422i | −0.371110 | + | 1.14216i | ||||
\(408\) | −6.46584 | −0.320107 | ||||||||
\(409\) | 13.2932 | 0.657307 | 0.328654 | − | 0.944451i | \(-0.393405\pi\) | ||||
0.328654 | + | 0.944451i | \(0.393405\pi\) | |||||||
\(410\) | −0.164408 | + | 0.505996i | −0.00811954 | + | 0.0249894i | ||||
\(411\) | −5.59769 | − | 17.2279i | −0.276114 | − | 0.849790i | ||||
\(412\) | −3.56283 | − | 10.9653i | −0.175528 | − | 0.540220i | ||||
\(413\) | 9.60803 | − | 6.98064i | 0.472780 | − | 0.343495i | ||||
\(414\) | 2.45267 | − | 7.54854i | 0.120542 | − | 0.370991i | ||||
\(415\) | 6.03442 | − | 4.38427i | 0.296218 | − | 0.215215i | ||||
\(416\) | −2.46770 | − | 1.79289i | −0.120989 | − | 0.0879037i | ||||
\(417\) | 0.302403 | + | 0.930700i | 0.0148087 | + | 0.0455766i | ||||
\(418\) | −31.5694 | − | 22.9365i | −1.54411 | − | 1.12186i | ||||
\(419\) | 16.3138 | + | 11.8527i | 0.796982 | + | 0.579042i | 0.910027 | − | 0.414548i | \(-0.136060\pi\) |
−0.113045 | + | 0.993590i | \(0.536060\pi\) | |||||||
\(420\) | 1.03459 | + | 3.18415i | 0.0504829 | + | 0.155370i | ||||
\(421\) | 1.33048 | + | 0.966649i | 0.0648435 | + | 0.0471116i | 0.619735 | − | 0.784811i | \(-0.287240\pi\) |
−0.554891 | + | 0.831923i | \(0.687240\pi\) | |||||||
\(422\) | 6.79055 | − | 4.93363i | 0.330559 | − | 0.240165i | ||||
\(423\) | 4.18135 | − | 12.8689i | 0.203304 | − | 0.625706i | ||||
\(424\) | 5.20062 | − | 3.77847i | 0.252564 | − | 0.183499i | ||||
\(425\) | −1.99805 | − | 6.14938i | −0.0969198 | − | 0.298289i | ||||
\(426\) | 2.29986 | + | 7.07823i | 0.111428 | + | 0.342941i | ||||
\(427\) | −13.2935 | + | 40.9133i | −0.643320 | + | 1.97993i | ||||
\(428\) | −5.73249 | −0.277090 | ||||||||
\(429\) | 14.8481 | 0.716872 | ||||||||
\(430\) | −0.647726 | + | 1.99349i | −0.0312361 | + | 0.0961349i | ||||
\(431\) | −13.1918 | − | 9.58437i | −0.635424 | − | 0.461663i | 0.222851 | − | 0.974853i | \(-0.428464\pi\) |
−0.858275 | + | 0.513190i | \(0.828464\pi\) | |||||||
\(432\) | −0.809017 | + | 0.587785i | −0.0389238 | + | 0.0282798i | ||||
\(433\) | −5.73601 | −0.275655 | −0.137827 | − | 0.990456i | \(-0.544012\pi\) | ||||
−0.137827 | + | 0.990456i | \(0.544012\pi\) | |||||||
\(434\) | −17.4377 | + | 6.58858i | −0.837038 | + | 0.316262i | ||||
\(435\) | −4.03362 | −0.193397 | ||||||||
\(436\) | 4.59104 | − | 3.33559i | 0.219871 | − | 0.159746i | ||||
\(437\) | −51.4740 | − | 37.3981i | −2.46234 | − | 1.78899i | ||||
\(438\) | 3.21789 | − | 9.90364i | 0.153757 | − | 0.473214i | ||||
\(439\) | 27.8364 | 1.32856 | 0.664278 | − | 0.747485i | \(-0.268739\pi\) | ||||
0.664278 | + | 0.747485i | \(0.268739\pi\) | |||||||
\(440\) | 4.86783 | 0.232065 | ||||||||
\(441\) | 1.30070 | − | 4.00316i | 0.0619383 | − | 0.190626i | ||||
\(442\) | −6.09456 | − | 18.7571i | −0.289889 | − | 0.892185i | ||||
\(443\) | 3.62311 | + | 11.1508i | 0.172139 | + | 0.529790i | 0.999491 | − | 0.0318937i | \(-0.0101538\pi\) |
−0.827352 | + | 0.561684i | \(0.810154\pi\) | |||||||
\(444\) | 4.02662 | − | 2.92551i | 0.191095 | − | 0.138838i | ||||
\(445\) | 2.48197 | − | 7.63872i | 0.117657 | − | 0.362110i | ||||
\(446\) | 21.4747 | − | 15.6022i | 1.01685 | − | 0.738788i | ||||
\(447\) | −15.8812 | − | 11.5384i | −0.751154 | − | 0.545746i | ||||
\(448\) | 1.03459 | + | 3.18415i | 0.0488799 | + | 0.150437i | ||||
\(449\) | 15.1191 | + | 10.9847i | 0.713514 | + | 0.518398i | 0.884305 | − | 0.466909i | \(-0.154632\pi\) |
−0.170791 | + | 0.985307i | \(0.554632\pi\) | |||||||
\(450\) | −0.809017 | − | 0.587785i | −0.0381374 | − | 0.0277085i | ||||
\(451\) | −0.800310 | − | 2.46310i | −0.0376851 | − | 0.115983i | ||||
\(452\) | 5.15426 | + | 3.74479i | 0.242436 | + | 0.176140i | ||||
\(453\) | 9.56220 | − | 6.94734i | 0.449271 | − | 0.326415i | ||||
\(454\) | 2.56502 | − | 7.89430i | 0.120382 | − | 0.370498i | ||||
\(455\) | −8.26189 | + | 6.00262i | −0.387323 | + | 0.281407i | ||||
\(456\) | 2.47717 | + | 7.62395i | 0.116004 | + | 0.357024i | ||||
\(457\) | −4.98305 | − | 15.3362i | −0.233097 | − | 0.717399i | −0.997368 | − | 0.0725039i | \(-0.976901\pi\) |
0.764271 | − | 0.644895i | \(-0.223099\pi\) | |||||||
\(458\) | −1.58928 | + | 4.89131i | −0.0742623 | + | 0.228556i | ||||
\(459\) | −6.46584 | −0.301799 | ||||||||
\(460\) | 7.93701 | 0.370065 | ||||||||
\(461\) | −4.98160 | + | 15.3318i | −0.232016 | + | 0.714073i | 0.765487 | + | 0.643452i | \(0.222498\pi\) |
−0.997503 | + | 0.0706215i | \(0.977502\pi\) | |||||||
\(462\) | −13.1850 | − | 9.57945i | −0.613421 | − | 0.445676i | ||||
\(463\) | 23.0582 | − | 16.7527i | 1.07160 | − | 0.778566i | 0.0954037 | − | 0.995439i | \(-0.469586\pi\) |
0.976200 | + | 0.216873i | \(0.0695858\pi\) | |||||||
\(464\) | −4.03362 | −0.187256 | ||||||||
\(465\) | 3.05697 | − | 4.65349i | 0.141763 | − | 0.215800i | ||||
\(466\) | 2.59374 | 0.120153 | ||||||||
\(467\) | −8.73242 | + | 6.34447i | −0.404088 | + | 0.293587i | −0.771204 | − | 0.636588i | \(-0.780345\pi\) |
0.367116 | + | 0.930175i | \(0.380345\pi\) | |||||||
\(468\) | −2.46770 | − | 1.79289i | −0.114070 | − | 0.0828764i | ||||
\(469\) | −1.76620 | + | 5.43581i | −0.0815556 | + | 0.251002i | ||||
\(470\) | 13.5311 | 0.624144 | ||||||||
\(471\) | −5.64600 | −0.260154 | ||||||||
\(472\) | −1.09616 | + | 3.37362i | −0.0504547 | + | 0.155283i | ||||
\(473\) | −3.15302 | − | 9.70399i | −0.144976 | − | 0.446190i | ||||
\(474\) | 1.45620 | + | 4.48172i | 0.0668854 | + | 0.205852i | ||||
\(475\) | −6.48532 | + | 4.71186i | −0.297567 | + | 0.216195i | ||||
\(476\) | −6.68950 | + | 20.5882i | −0.306613 | + | 0.943657i | ||||
\(477\) | 5.20062 | − | 3.77847i | 0.238120 | − | 0.173004i | ||||
\(478\) | 4.77471 | + | 3.46903i | 0.218390 | + | 0.158670i | ||||
\(479\) | −7.75867 | − | 23.8787i | −0.354503 | − | 1.09105i | −0.956297 | − | 0.292396i | \(-0.905547\pi\) |
0.601795 | − | 0.798651i | \(-0.294453\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | 12.2822 | + | 8.92353i | 0.560019 | + | 0.406878i | ||||
\(482\) | 4.67464 | + | 14.3871i | 0.212924 | + | 0.655313i | ||||
\(483\) | −21.4982 | − | 15.6193i | −0.978200 | − | 0.710704i | ||||
\(484\) | −10.2711 | + | 7.46236i | −0.466867 | + | 0.339198i | ||||
\(485\) | 0.438243 | − | 1.34877i | 0.0198996 | − | 0.0612447i | ||||
\(486\) | −0.809017 | + | 0.587785i | −0.0366978 | + | 0.0266625i | ||||
\(487\) | 11.1104 | + | 34.1943i | 0.503461 | + | 1.54949i | 0.803343 | + | 0.595517i | \(0.203053\pi\) |
−0.299882 | + | 0.953976i | \(0.596947\pi\) | |||||||
\(488\) | −3.97058 | − | 12.2202i | −0.179740 | − | 0.553182i | ||||
\(489\) | −0.185547 | + | 0.571054i | −0.00839071 | + | 0.0258240i | ||||
\(490\) | 4.20917 | 0.190151 | ||||||||
\(491\) | −24.8343 | −1.12076 | −0.560379 | − | 0.828237i | \(-0.689344\pi\) | ||||
−0.560379 | + | 0.828237i | \(0.689344\pi\) | |||||||
\(492\) | −0.164408 | + | 0.505996i | −0.00741209 | + | 0.0228121i | ||||
\(493\) | −21.0998 | − | 15.3299i | −0.950286 | − | 0.690423i | ||||
\(494\) | −19.7818 | + | 14.3723i | −0.890026 | + | 0.646642i | ||||
\(495\) | 4.86783 | 0.218793 | ||||||||
\(496\) | 3.05697 | − | 4.65349i | 0.137262 | − | 0.208948i | ||||
\(497\) | 24.9175 | 1.11770 | ||||||||
\(498\) | 6.03442 | − | 4.38427i | 0.270409 | − | 0.196464i | ||||
\(499\) | −6.88283 | − | 5.00067i | −0.308118 | − | 0.223861i | 0.422971 | − | 0.906143i | \(-0.360987\pi\) |
−0.731088 | + | 0.682283i | \(0.760987\pi\) | |||||||
\(500\) | 0.309017 | − | 0.951057i | 0.0138197 | − | 0.0425325i | ||||
\(501\) | −19.1859 | −0.857164 | ||||||||
\(502\) | −18.8521 | −0.841410 | ||||||||
\(503\) | −9.36832 | + | 28.8327i | −0.417713 | + | 1.28559i | 0.492089 | + | 0.870545i | \(0.336233\pi\) |
−0.909802 | + | 0.415043i | \(0.863767\pi\) | |||||||
\(504\) | 1.03459 | + | 3.18415i | 0.0460844 | + | 0.141833i | ||||
\(505\) | −5.25414 | − | 16.1706i | −0.233806 | − | 0.719581i | ||||
\(506\) | −31.2572 | + | 22.7097i | −1.38955 | + | 1.00957i | ||||
\(507\) | −1.14212 | + | 3.51509i | −0.0507234 | + | 0.156111i | ||||
\(508\) | −11.1390 | + | 8.09294i | −0.494212 | + | 0.359066i | ||||
\(509\) | 4.73269 | + | 3.43850i | 0.209773 | + | 0.152409i | 0.687711 | − | 0.725985i | \(-0.258616\pi\) |
−0.477938 | + | 0.878394i | \(0.658616\pi\) | |||||||
\(510\) | −1.99805 | − | 6.14938i | −0.0884753 | − | 0.272299i | ||||
\(511\) | −28.2054 | − | 20.4924i | −1.24773 | − | 0.906532i | ||||
\(512\) | −0.809017 | − | 0.587785i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 2.47717 | + | 7.62395i | 0.109370 | + | 0.336605i | ||||
\(514\) | 6.02060 | + | 4.37422i | 0.265557 | + | 0.192939i | ||||
\(515\) | 9.32762 | − | 6.77691i | 0.411024 | − | 0.298626i | ||||
\(516\) | −0.647726 | + | 1.99349i | −0.0285145 | + | 0.0877587i | ||||
\(517\) | −53.2877 | + | 38.7158i | −2.34359 | + | 1.70272i | ||||
\(518\) | −5.14934 | − | 15.8480i | −0.226249 | − | 0.696323i | ||||
\(519\) | 3.19461 | + | 9.83199i | 0.140228 | + | 0.431577i | ||||
\(520\) | 0.942579 | − | 2.90096i | 0.0413348 | − | 0.127215i | ||||
\(521\) | 36.2425 | 1.58781 | 0.793907 | − | 0.608040i | \(-0.208044\pi\) | ||||
0.793907 | + | 0.608040i | \(0.208044\pi\) | |||||||
\(522\) | −4.03362 | −0.176547 | ||||||||
\(523\) | −3.05056 | + | 9.38866i | −0.133392 | + | 0.410538i | −0.995336 | − | 0.0964648i | \(-0.969246\pi\) |
0.861945 | + | 0.507002i | \(0.169246\pi\) | |||||||
\(524\) | −0.0727138 | − | 0.0528297i | −0.00317652 | − | 0.00230787i | ||||
\(525\) | −2.70860 | + | 1.96791i | −0.118213 | + | 0.0858867i | ||||
\(526\) | −26.8393 | −1.17025 | ||||||||
\(527\) | 33.6766 | − | 12.7242i | 1.46698 | − | 0.554274i | ||||
\(528\) | 4.86783 | 0.211845 | ||||||||
\(529\) | −32.3575 | + | 23.5091i | −1.40685 | + | 1.02214i | ||||
\(530\) | 5.20062 | + | 3.77847i | 0.225901 | + | 0.164126i | ||||
\(531\) | −1.09616 | + | 3.37362i | −0.0475691 | + | 0.146403i | ||||
\(532\) | 26.8386 | 1.16360 | ||||||||
\(533\) | −1.62284 | −0.0702931 | ||||||||
\(534\) | 2.48197 | − | 7.63872i | 0.107405 | − | 0.330560i | ||||
\(535\) | −1.77144 | − | 5.45192i | −0.0765858 | − | 0.235707i | ||||
\(536\) | −0.527538 | − | 1.62359i | −0.0227861 | − | 0.0701286i | ||||
\(537\) | 4.05959 | − | 2.94946i | 0.175184 | − | 0.127279i | ||||
\(538\) | −0.608961 | + | 1.87419i | −0.0262542 | + | 0.0808021i | ||||
\(539\) | −16.5763 | + | 12.0434i | −0.713994 | + | 0.518747i | ||||
\(540\) | −0.809017 | − | 0.587785i | −0.0348145 | − | 0.0252942i | ||||
\(541\) | −2.96782 | − | 9.13400i | −0.127596 | − | 0.392701i | 0.866769 | − | 0.498710i | \(-0.166193\pi\) |
−0.994365 | + | 0.106009i | \(0.966193\pi\) | |||||||
\(542\) | −3.85919 | − | 2.80386i | −0.165766 | − | 0.120436i | ||||
\(543\) | −12.3947 | − | 9.00528i | −0.531908 | − | 0.386453i | ||||
\(544\) | −1.99805 | − | 6.14938i | −0.0856658 | − | 0.263652i | ||||
\(545\) | 4.59104 | + | 3.33559i | 0.196659 | + | 0.142881i | ||||
\(546\) | −8.26189 | + | 6.00262i | −0.353576 | + | 0.256888i | ||||
\(547\) | 12.4926 | − | 38.4483i | 0.534145 | − | 1.64393i | −0.211344 | − | 0.977412i | \(-0.567784\pi\) |
0.745489 | − | 0.666518i | \(-0.232216\pi\) | |||||||
\(548\) | 14.6549 | − | 10.6474i | 0.626028 | − | 0.454836i | ||||
\(549\) | −3.97058 | − | 12.2202i | −0.169460 | − | 0.521545i | ||||
\(550\) | 1.50424 | + | 4.62958i | 0.0641411 | + | 0.197406i | ||||
\(551\) | −9.99197 | + | 30.7521i | −0.425672 | + | 1.31008i | ||||
\(552\) | 7.93701 | 0.337822 | ||||||||
\(553\) | 15.7770 | 0.670907 | ||||||||
\(554\) | 3.85434 | − | 11.8624i | 0.163755 | − | 0.503987i | ||||
\(555\) | 4.02662 | + | 2.92551i | 0.170920 | + | 0.124181i | ||||
\(556\) | −0.791701 | + | 0.575205i | −0.0335756 | + | 0.0243941i | ||||
\(557\) | 18.0048 | 0.762886 | 0.381443 | − | 0.924392i | \(-0.375427\pi\) | ||||
0.381443 | + | 0.924392i | \(0.375427\pi\) | |||||||
\(558\) | 3.05697 | − | 4.65349i | 0.129412 | − | 0.196998i | ||||
\(559\) | −6.39358 | −0.270420 | ||||||||
\(560\) | −2.70860 | + | 1.96791i | −0.114459 | + | 0.0831594i | ||||
\(561\) | 25.4635 | + | 18.5003i | 1.07507 | + | 0.781083i | ||||
\(562\) | −1.39039 | + | 4.27917i | −0.0586499 | + | 0.180506i | ||||
\(563\) | 18.8061 | 0.792582 | 0.396291 | − | 0.918125i | \(-0.370297\pi\) | ||||
0.396291 | + | 0.918125i | \(0.370297\pi\) | |||||||
\(564\) | 13.5311 | 0.569763 | ||||||||
\(565\) | −1.96875 | + | 6.05920i | −0.0828260 | + | 0.254912i | ||||
\(566\) | 2.41871 | + | 7.44402i | 0.101666 | + | 0.312896i | ||||
\(567\) | 1.03459 | + | 3.18415i | 0.0434488 | + | 0.133722i | ||||
\(568\) | −6.02110 | + | 4.37459i | −0.252640 | + | 0.183554i | ||||
\(569\) | 0.0660906 | − | 0.203406i | 0.00277066 | − | 0.00852722i | −0.949662 | − | 0.313278i | \(-0.898573\pi\) |
0.952432 | + | 0.304750i | \(0.0985730\pi\) | |||||||
\(570\) | −6.48532 | + | 4.71186i | −0.271640 | + | 0.197358i | ||||
\(571\) | −29.1726 | − | 21.1951i | −1.22083 | − | 0.886987i | −0.224664 | − | 0.974436i | \(-0.572129\pi\) |
−0.996169 | + | 0.0874487i | \(0.972129\pi\) | |||||||
\(572\) | 4.58831 | + | 14.1214i | 0.191847 | + | 0.590444i | ||||
\(573\) | −2.42287 | − | 1.76032i | −0.101217 | − | 0.0735385i | ||||
\(574\) | 1.44107 | + | 1.04700i | 0.0601491 | + | 0.0437009i | ||||
\(575\) | 2.45267 | + | 7.54854i | 0.102283 | + | 0.314796i | ||||
\(576\) | −0.809017 | − | 0.587785i | −0.0337090 | − | 0.0244911i | ||||
\(577\) | 6.81900 | − | 4.95429i | 0.283879 | − | 0.206250i | −0.436729 | − | 0.899593i | \(-0.643863\pi\) |
0.720607 | + | 0.693343i | \(0.243863\pi\) | |||||||
\(578\) | 7.66580 | − | 23.5929i | 0.318855 | − | 0.981335i | ||||
\(579\) | 20.5945 | − | 14.9628i | 0.855878 | − | 0.621832i | ||||
\(580\) | −1.24646 | − | 3.83620i | −0.0517563 | − | 0.159290i | ||||
\(581\) | −7.71698 | − | 23.7504i | −0.320154 | − | 0.985333i | ||||
\(582\) | 0.438243 | − | 1.34877i | 0.0181658 | − | 0.0559085i | ||||
\(583\) | −31.2920 | −1.29598 | ||||||||
\(584\) | 10.4133 | 0.430905 | ||||||||
\(585\) | 0.942579 | − | 2.90096i | 0.0389708 | − | 0.119940i | ||||
\(586\) | −12.0319 | − | 8.74170i | −0.497034 | − | 0.361116i | ||||
\(587\) | 28.8300 | − | 20.9462i | 1.18994 | − | 0.864542i | 0.196682 | − | 0.980467i | \(-0.436983\pi\) |
0.993258 | + | 0.115926i | \(0.0369834\pi\) | |||||||
\(588\) | 4.20917 | 0.173583 | ||||||||
\(589\) | −27.9053 | − | 34.8336i | −1.14982 | − | 1.43530i | ||||
\(590\) | −3.54723 | −0.146037 | ||||||||
\(591\) | −19.5831 | + | 14.2279i | −0.805539 | + | 0.585258i | ||||
\(592\) | 4.02662 | + | 2.92551i | 0.165493 | + | 0.120238i | ||||
\(593\) | 5.42487 | − | 16.6960i | 0.222773 | − | 0.685624i | −0.775737 | − | 0.631056i | \(-0.782622\pi\) |
0.998510 | − | 0.0545682i | \(-0.0173782\pi\) | |||||||
\(594\) | 4.86783 | 0.199729 | ||||||||
\(595\) | −21.6477 | −0.887468 | ||||||||
\(596\) | 6.06607 | − | 18.6695i | 0.248476 | − | 0.764731i | ||||
\(597\) | −4.84156 | − | 14.9008i | −0.198152 | − | 0.609849i | ||||
\(598\) | 7.48126 | + | 23.0249i | 0.305931 | + | 0.941560i | ||||
\(599\) | −16.2501 | + | 11.8064i | −0.663959 | + | 0.482395i | −0.867998 | − | 0.496568i | \(-0.834593\pi\) |
0.204039 | + | 0.978963i | \(0.434593\pi\) | |||||||
\(600\) | 0.309017 | − | 0.951057i | 0.0126156 | − | 0.0388267i | ||||
\(601\) | −21.7372 | + | 15.7930i | −0.886679 | + | 0.644210i | −0.935010 | − | 0.354621i | \(-0.884610\pi\) |
0.0483311 | + | 0.998831i | \(0.484610\pi\) | |||||||
\(602\) | 5.67745 | + | 4.12491i | 0.231395 | + | 0.168119i | ||||
\(603\) | −0.527538 | − | 1.62359i | −0.0214830 | − | 0.0661178i | ||||
\(604\) | 9.56220 | + | 6.94734i | 0.389080 | + | 0.282683i | ||||
\(605\) | −10.2711 | − | 7.46236i | −0.417578 | − | 0.303388i | ||||
\(606\) | −5.25414 | − | 16.1706i | −0.213435 | − | 0.656885i | ||||
\(607\) | 35.1745 | + | 25.5558i | 1.42769 | + | 1.03728i | 0.990441 | + | 0.137935i | \(0.0440467\pi\) |
0.437248 | + | 0.899341i | \(0.355953\pi\) | |||||||
\(608\) | −6.48532 | + | 4.71186i | −0.263014 | + | 0.191091i | ||||
\(609\) | −4.17315 | + | 12.8436i | −0.169105 | + | 0.520451i | ||||
\(610\) | 10.3951 | − | 7.55250i | 0.420886 | − | 0.305792i | ||||
\(611\) | 12.7542 | + | 39.2532i | 0.515978 | + | 1.58802i | ||||
\(612\) | −1.99805 | − | 6.14938i | −0.0807665 | − | 0.248574i | ||||
\(613\) | −9.83532 | + | 30.2700i | −0.397245 | + | 1.22259i | 0.529954 | + | 0.848026i | \(0.322209\pi\) |
−0.927199 | + | 0.374568i | \(0.877791\pi\) | |||||||
\(614\) | 20.7987 | 0.839368 | ||||||||
\(615\) | −0.532036 | −0.0214538 | ||||||||
\(616\) | 5.03621 | − | 15.4999i | 0.202915 | − | 0.624508i | ||||
\(617\) | −14.0071 | − | 10.1767i | −0.563904 | − | 0.409700i | 0.268982 | − | 0.963145i | \(-0.413313\pi\) |
−0.832886 | + | 0.553445i | \(0.813313\pi\) | |||||||
\(618\) | 9.32762 | − | 6.77691i | 0.375212 | − | 0.272607i | ||||
\(619\) | −4.30193 | −0.172909 | −0.0864546 | − | 0.996256i | \(-0.527554\pi\) | ||||
−0.0864546 | + | 0.996256i | \(0.527554\pi\) | |||||||
\(620\) | 5.37038 | + | 1.46934i | 0.215680 | + | 0.0590102i | ||||
\(621\) | 7.93701 | 0.318501 | ||||||||
\(622\) | 17.1911 | − | 12.4901i | 0.689300 | − | 0.500806i | ||||
\(623\) | −21.7550 | − | 15.8059i | −0.871595 | − | 0.633251i | ||||
\(624\) | 0.942579 | − | 2.90096i | 0.0377333 | − | 0.116131i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 15.5546 | 0.621686 | ||||||||
\(627\) | 12.0584 | − | 37.1120i | 0.481568 | − | 1.48211i | ||||
\(628\) | −1.74471 | − | 5.36966i | −0.0696215 | − | 0.214273i | ||||
\(629\) | 9.94466 | + | 30.6065i | 0.396519 | + | 1.22036i | ||||
\(630\) | −2.70860 | + | 1.96791i | −0.107913 | + | 0.0784034i | ||||
\(631\) | −4.06098 | + | 12.4984i | −0.161665 | + | 0.497554i | −0.998775 | − | 0.0494806i | \(-0.984243\pi\) |
0.837110 | + | 0.547035i | \(0.184243\pi\) | |||||||
\(632\) | −3.81238 | + | 2.76985i | −0.151648 | + | 0.110179i | ||||
\(633\) | 6.79055 | + | 4.93363i | 0.269900 | + | 0.196094i | ||||
\(634\) | −5.69864 | − | 17.5386i | −0.226322 | − | 0.696547i | ||||
\(635\) | −11.1390 | − | 8.09294i | −0.442037 | − | 0.321159i | ||||
\(636\) | 5.20062 | + | 3.77847i | 0.206218 | + | 0.149826i | ||||
\(637\) | 3.96747 | + | 12.2106i | 0.157197 | + | 0.483802i | ||||
\(638\) | 15.8850 | + | 11.5411i | 0.628894 | + | 0.456918i | ||||
\(639\) | −6.02110 | + | 4.37459i | −0.238191 | + | 0.173056i | ||||
\(640\) | 0.309017 | − | 0.951057i | 0.0122150 | − | 0.0375938i | ||||
\(641\) | 22.5747 | − | 16.4015i | 0.891647 | − | 0.647819i | −0.0446601 | − | 0.999002i | \(-0.514220\pi\) |
0.936307 | + | 0.351183i | \(0.114220\pi\) | |||||||
\(642\) | −1.77144 | − | 5.45192i | −0.0699130 | − | 0.215170i | ||||
\(643\) | 0.443852 | + | 1.36604i | 0.0175038 | + | 0.0538712i | 0.959427 | − | 0.281957i | \(-0.0909837\pi\) |
−0.941923 | + | 0.335829i | \(0.890984\pi\) | |||||||
\(644\) | 8.21157 | − | 25.2726i | 0.323581 | − | 0.995880i | ||||
\(645\) | −2.09608 | −0.0825332 | ||||||||
\(646\) | −51.8320 | −2.03930 | ||||||||
\(647\) | 0.768219 | − | 2.36434i | 0.0302018 | − | 0.0929516i | −0.934819 | − | 0.355124i | \(-0.884439\pi\) |
0.965021 | + | 0.262172i | \(0.0844388\pi\) | |||||||
\(648\) | −0.809017 | − | 0.587785i | −0.0317812 | − | 0.0230904i | ||||
\(649\) | 13.9696 | − | 10.1495i | 0.548353 | − | 0.398402i | ||||
\(650\) | 3.05025 | 0.119641 | ||||||||
\(651\) | −11.6547 | − | 14.5483i | −0.456783 | − | 0.570192i | ||||
\(652\) | −0.600442 | −0.0235151 | ||||||||
\(653\) | −37.4509 | + | 27.2097i | −1.46557 | + | 1.06480i | −0.483700 | + | 0.875234i | \(0.660708\pi\) |
−0.981868 | + | 0.189564i | \(0.939292\pi\) | |||||||
\(654\) | 4.59104 | + | 3.33559i | 0.179524 | + | 0.130432i | ||||
\(655\) | 0.0277742 | − | 0.0854802i | 0.00108523 | − | 0.00333999i | ||||
\(656\) | −0.532036 | −0.0207725 | ||||||||
\(657\) | 10.4133 | 0.406262 | ||||||||
\(658\) | 13.9992 | − | 43.0851i | 0.545745 | − | 1.67963i | ||||
\(659\) | −12.2031 | − | 37.5571i | −0.475363 | − | 1.46302i | −0.845467 | − | 0.534028i | \(-0.820678\pi\) |
0.370104 | − | 0.928990i | \(-0.379322\pi\) | |||||||
\(660\) | 1.50424 | + | 4.62958i | 0.0585525 | + | 0.180206i | ||||
\(661\) | −5.02382 | + | 3.65002i | −0.195404 | + | 0.141969i | −0.681185 | − | 0.732111i | \(-0.738535\pi\) |
0.485781 | + | 0.874080i | \(0.338535\pi\) | |||||||
\(662\) | −6.36594 | + | 19.5923i | −0.247419 | + | 0.761478i | ||||
\(663\) | 15.9558 | − | 11.5925i | 0.619671 | − | 0.450217i | ||||
\(664\) | 6.03442 | + | 4.38427i | 0.234181 | + | 0.170143i | ||||
\(665\) | 8.29359 | + | 25.5250i | 0.321612 | + | 0.989819i | ||||
\(666\) | 4.02662 | + | 2.92551i | 0.156028 | + | 0.113361i | ||||
\(667\) | 25.9006 | + | 18.8179i | 1.00288 | + | 0.728632i | ||||
\(668\) | −5.92878 | − | 18.2469i | −0.229391 | − | 0.705994i | ||||
\(669\) | 21.4747 | + | 15.6022i | 0.830258 | + | 0.603218i | ||||
\(670\) | 1.38111 | − | 1.00344i | 0.0533570 | − | 0.0387661i | ||||
\(671\) | −19.3281 | + | 59.4858i | −0.746153 | + | 2.29642i | ||||
\(672\) | −2.70860 | + | 1.96791i | −0.104486 | + | 0.0759138i | ||||
\(673\) | 2.37604 | + | 7.31271i | 0.0915897 | + | 0.281884i | 0.986350 | − | 0.164663i | \(-0.0526536\pi\) |
−0.894760 | + | 0.446547i | \(0.852654\pi\) | |||||||
\(674\) | −2.40631 | − | 7.40587i | −0.0926877 | − | 0.285263i | ||||
\(675\) | 0.309017 | − | 0.951057i | 0.0118941 | − | 0.0366062i | ||||
\(676\) | −3.69598 | −0.142153 | ||||||||
\(677\) | 42.1972 | 1.62177 | 0.810885 | − | 0.585206i | \(-0.198986\pi\) | ||||
0.810885 | + | 0.585206i | \(0.198986\pi\) | |||||||
\(678\) | −1.96875 | + | 6.05920i | −0.0756095 | + | 0.232702i | ||||
\(679\) | −3.84129 | − | 2.79086i | −0.147415 | − | 0.107103i | ||||
\(680\) | 5.23097 | − | 3.80052i | 0.200599 | − | 0.145743i | ||||
\(681\) | 8.30056 | 0.318078 | ||||||||
\(682\) | −25.3535 | + | 9.57945i | −0.970837 | + | 0.366816i | ||||
\(683\) | −3.61794 | −0.138437 | −0.0692183 | − | 0.997602i | \(-0.522050\pi\) | ||||
−0.0692183 | + | 0.997602i | \(0.522050\pi\) | |||||||
\(684\) | −6.48532 | + | 4.71186i | −0.247972 | + | 0.180162i | ||||
\(685\) | 14.6549 | + | 10.6474i | 0.559936 | + | 0.406818i | ||||
\(686\) | −2.88737 | + | 8.88642i | −0.110240 | + | 0.339285i | ||||
\(687\) | −5.14303 | −0.196219 | ||||||||
\(688\) | −2.09608 | −0.0799125 | ||||||||
\(689\) | −6.05920 | + | 18.6483i | −0.230837 | + | 0.710443i | ||||
\(690\) | 2.45267 | + | 7.54854i | 0.0933716 | + | 0.287368i | ||||
\(691\) | 1.48377 | + | 4.56658i | 0.0564454 | + | 0.173721i | 0.975304 | − | 0.220865i | \(-0.0708880\pi\) |
−0.918859 | + | 0.394586i | \(0.870888\pi\) | |||||||
\(692\) | −8.36359 | + | 6.07651i | −0.317936 | + | 0.230994i | ||||
\(693\) | 5.03621 | − | 15.4999i | 0.191310 | − | 0.588791i | ||||
\(694\) | −1.63256 | + | 1.18613i | −0.0619713 | + | 0.0450248i | ||||
\(695\) | −0.791701 | − | 0.575205i | −0.0300309 | − | 0.0218188i | ||||
\(696\) | −1.24646 | − | 3.83620i | −0.0472469 | − | 0.145411i | ||||
\(697\) | −2.78306 | − | 2.02201i | −0.105416 | − | 0.0765893i | ||||
\(698\) | 18.7920 | + | 13.6532i | 0.711288 | + | 0.516781i | ||||
\(699\) | 0.801510 | + | 2.46679i | 0.0303159 | + | 0.0933027i | ||||
\(700\) | −2.70860 | − | 1.96791i | −0.102375 | − | 0.0743800i | ||||
\(701\) | 33.9503 | − | 24.6664i | 1.28229 | − | 0.931636i | 0.282667 | − | 0.959218i | \(-0.408781\pi\) |
0.999620 | + | 0.0275824i | \(0.00878086\pi\) | |||||||
\(702\) | 0.942579 | − | 2.90096i | 0.0355753 | − | 0.109490i | ||||
\(703\) | 32.2785 | − | 23.4517i | 1.21741 | − | 0.884499i | ||||
\(704\) | 1.50424 | + | 4.62958i | 0.0566932 | + | 0.174484i | ||||
\(705\) | 4.18135 | + | 12.8689i | 0.157479 | + | 0.484670i | ||||
\(706\) | −6.92797 | + | 21.3221i | −0.260738 | + | 0.802468i | ||||
\(707\) | −56.9254 | −2.14090 | ||||||||
\(708\) | −3.54723 | −0.133313 | ||||||||
\(709\) | 2.17840 | − | 6.70444i | 0.0818117 | − | 0.251791i | −0.901781 | − | 0.432193i | \(-0.857740\pi\) |
0.983593 | + | 0.180402i | \(0.0577400\pi\) | |||||||
\(710\) | −6.02110 | − | 4.37459i | −0.225968 | − | 0.164175i | ||||
\(711\) | −3.81238 | + | 2.76985i | −0.142975 | + | 0.103878i | ||||
\(712\) | 8.03183 | 0.301006 | ||||||||
\(713\) | −41.3390 | + | 15.6193i | −1.54816 | + | 0.584948i | ||||
\(714\) | −21.6477 | −0.810144 | ||||||||
\(715\) | −12.0123 | + | 8.72748i | −0.449236 | + | 0.326389i | ||||
\(716\) | 4.05959 | + | 2.94946i | 0.151714 | + | 0.110227i | ||||
\(717\) | −1.82378 | + | 5.61300i | −0.0681101 | + | 0.209621i | ||||
\(718\) | 10.9361 | 0.408131 | ||||||||
\(719\) | −7.99953 | −0.298332 | −0.149166 | − | 0.988812i | \(-0.547659\pi\) | ||||
−0.149166 | + | 0.988812i | \(0.547659\pi\) | |||||||
\(720\) | 0.309017 | − | 0.951057i | 0.0115164 | − | 0.0354438i | ||||
\(721\) | −11.9284 | − | 36.7118i | −0.444237 | − | 1.36722i | ||||
\(722\) | 13.9864 | + | 43.0457i | 0.520520 | + | 1.60200i | ||||
\(723\) | −12.2384 | + | 8.89170i | −0.455150 | + | 0.330686i | ||||
\(724\) | 4.73435 | − | 14.5708i | 0.175951 | − | 0.541521i | ||||
\(725\) | 3.26327 | − | 2.37090i | 0.121195 | − | 0.0880532i | ||||
\(726\) | −10.2711 | − | 7.46236i | −0.381195 | − | 0.276954i | ||||
\(727\) | 9.96556 | + | 30.6709i | 0.369602 | + | 1.13752i | 0.947049 | + | 0.321090i | \(0.104049\pi\) |
−0.577446 | + | 0.816429i | \(0.695951\pi\) | |||||||
\(728\) | −8.26189 | − | 6.00262i | −0.306206 | − | 0.222472i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 3.21789 | + | 9.90364i | 0.119099 | + | 0.366550i | ||||
\(731\) | −10.9646 | − | 7.96622i | −0.405539 | − | 0.294641i | ||||
\(732\) | 10.3951 | − | 7.55250i | 0.384215 | − | 0.279148i | ||||
\(733\) | −5.52404 | + | 17.0012i | −0.204035 | + | 0.627955i | 0.795717 | + | 0.605669i | \(0.207094\pi\) |
−0.999752 | + | 0.0222861i | \(0.992906\pi\) | |||||||
\(734\) | −28.9212 | + | 21.0125i | −1.06750 | + | 0.775584i | ||||
\(735\) | 1.30070 | + | 4.00316i | 0.0479772 | + | 0.147659i | ||||
\(736\) | 2.45267 | + | 7.54854i | 0.0904067 | + | 0.278243i | ||||
\(737\) | −2.56796 | + | 7.90337i | −0.0945921 | + | 0.291124i | ||||
\(738\) | −0.532036 | −0.0195845 | ||||||||
\(739\) | 46.7782 | 1.72077 | 0.860383 | − | 0.509649i | \(-0.170225\pi\) | ||||
0.860383 | + | 0.509649i | \(0.170225\pi\) | |||||||
\(740\) | −1.53803 | + | 4.73357i | −0.0565391 | + | 0.174010i | ||||
\(741\) | −19.7818 | − | 14.3723i | −0.726704 | − | 0.527981i | ||||
\(742\) | 17.4117 | − | 12.6504i | 0.639205 | − | 0.464409i | ||||
\(743\) | 27.9986 | 1.02717 | 0.513585 | − | 0.858039i | \(-0.328317\pi\) | ||||
0.513585 | + | 0.858039i | \(0.328317\pi\) | |||||||
\(744\) | 5.37038 | + | 1.46934i | 0.196888 | + | 0.0538687i | ||||
\(745\) | 19.6302 | 0.719196 | ||||||||
\(746\) | 0.821727 | − | 0.597019i | 0.0300856 | − | 0.0218584i | ||||
\(747\) | 6.03442 | + | 4.38427i | 0.220788 | + | 0.160412i | ||||
\(748\) | −9.72618 | + | 29.9341i | −0.355624 | + | 1.09450i | ||||
\(749\) | −19.1924 | −0.701276 | ||||||||
\(750\) | 1.00000 | 0.0365148 | ||||||||
\(751\) | 9.05206 | − | 27.8594i | 0.330314 | − | 1.01660i | −0.638670 | − | 0.769481i | \(-0.720515\pi\) |
0.968984 | − | 0.247122i | \(-0.0794850\pi\) | |||||||
\(752\) | 4.18135 | + | 12.8689i | 0.152478 | + | 0.469279i | ||||
\(753\) | −5.82562 | − | 17.9294i | −0.212297 | − | 0.653384i | ||||
\(754\) | 9.95378 | − | 7.23185i | 0.362495 | − | 0.263368i | ||||
\(755\) | −3.65243 | + | 11.2410i | −0.132926 | + | 0.409103i | ||||
\(756\) | −2.70860 | + | 1.96791i | −0.0985107 | + | 0.0715722i | ||||
\(757\) | −0.240414 | − | 0.174671i | −0.00873801 | − | 0.00634854i | 0.583408 | − | 0.812179i | \(-0.301719\pi\) |
−0.592146 | + | 0.805831i | \(0.701719\pi\) | |||||||
\(758\) | 2.43032 | + | 7.47976i | 0.0882733 | + | 0.271677i | ||||
\(759\) | −31.2572 | − | 22.7097i | −1.13456 | − | 0.824309i | ||||
\(760\) | −6.48532 | − | 4.71186i | −0.235247 | − | 0.170917i | ||||
\(761\) | 14.4088 | + | 44.3456i | 0.522318 | + | 1.60753i | 0.769560 | + | 0.638575i | \(0.220476\pi\) |
−0.247242 | + | 0.968954i | \(0.579524\pi\) | |||||||
\(762\) | −11.1390 | − | 8.09294i | −0.403523 | − | 0.293176i | ||||
\(763\) | 15.3709 | − | 11.1676i | 0.556462 | − | 0.404294i | ||||
\(764\) | 0.925455 | − | 2.84826i | 0.0334818 | − | 0.103046i | ||||
\(765\) | 5.23097 | − | 3.80052i | 0.189126 | − | 0.137408i | ||||
\(766\) | −9.13368 | − | 28.1106i | −0.330013 | − | 1.01568i | ||||
\(767\) | −3.34355 | − | 10.2904i | −0.120728 | − | 0.371564i | ||||
\(768\) | 0.309017 | − | 0.951057i | 0.0111507 | − | 0.0343183i | ||||
\(769\) | −15.4979 | −0.558870 | −0.279435 | − | 0.960165i | \(-0.590147\pi\) | ||||
−0.279435 | + | 0.960165i | \(0.590147\pi\) | |||||||
\(770\) | 16.2975 | 0.587322 | ||||||||
\(771\) | −2.29966 | + | 7.07764i | −0.0828204 | + | 0.254895i | ||||
\(772\) | 20.5945 | + | 14.9628i | 0.741212 | + | 0.538522i | ||||
\(773\) | −9.37464 | + | 6.81108i | −0.337182 | + | 0.244977i | −0.743472 | − | 0.668767i | \(-0.766822\pi\) |
0.406290 | + | 0.913744i | \(0.366822\pi\) | |||||||
\(774\) | −2.09608 | −0.0753422 | ||||||||
\(775\) | 0.262113 | + | 5.56159i | 0.00941538 | + | 0.199778i | ||||
\(776\) | 1.41818 | 0.0509099 | ||||||||
\(777\) | 13.4812 | − | 9.79463i | 0.483634 | − | 0.351380i | ||||
\(778\) | 20.1444 | + | 14.6358i | 0.722212 | + | 0.524718i | ||||
\(779\) | −1.31794 | + | 4.05621i | −0.0472202 | + | 0.145329i | ||||
\(780\) | 3.05025 | 0.109216 | ||||||||
\(781\) | 36.2287 | 1.29637 | ||||||||
\(782\) | −15.8586 | + | 48.8077i | −0.567101 | + | 1.74536i | ||||
\(783\) | −1.24646 | − | 3.83620i | −0.0445448 | − | 0.137095i | ||||
\(784\) | 1.30070 | + | 4.00316i | 0.0464537 | + | 0.142970i | ||||
\(785\) | 4.56771 | − | 3.31863i | 0.163029 | − | 0.118447i | ||||
\(786\) | 0.0277742 | − | 0.0854802i | 0.000990673 | − | 0.00304898i | ||||
\(787\) | −13.2914 | + | 9.65678i | −0.473788 | + | 0.344227i | −0.798916 | − | 0.601443i | \(-0.794593\pi\) |
0.325128 | + | 0.945670i | \(0.394593\pi\) | |||||||
\(788\) | −19.5831 | − | 14.2279i | −0.697617 | − | 0.506849i | ||||
\(789\) | −8.29380 | − | 25.5257i | −0.295267 | − | 0.908739i | ||||
\(790\) | −3.81238 | − | 2.76985i | −0.135638 | − | 0.0985470i | ||||
\(791\) | 17.2565 | + | 12.5376i | 0.613571 | + | 0.445785i | ||||
\(792\) | 1.50424 | + | 4.62958i | 0.0534509 | + | 0.164505i | ||||
\(793\) | 31.7077 | + | 23.0370i | 1.12597 | + | 0.818067i | ||||
\(794\) | −3.75747 | + | 2.72996i | −0.133348 | + | 0.0968828i | ||||
\(795\) | −1.98646 | + | 6.11370i | −0.0704525 | + | 0.216830i | ||||
\(796\) | 12.6754 | − | 9.20920i | 0.449267 | − | 0.326412i | ||||
\(797\) | −5.14855 | − | 15.8456i | −0.182371 | − | 0.561280i | 0.817522 | − | 0.575897i | \(-0.195347\pi\) |
−0.999893 | + | 0.0146170i | \(0.995347\pi\) | |||||||
\(798\) | 8.29359 | + | 25.5250i | 0.293590 | + | 0.903577i | ||||
\(799\) | −27.0359 | + | 83.2080i | −0.956462 | + | 2.94369i | ||||
\(800\) | 1.00000 | 0.0353553 | ||||||||
\(801\) | 8.03183 | 0.283791 | ||||||||
\(802\) | −8.88511 | + | 27.3456i | −0.313744 | + | 0.965605i | ||||
\(803\) | −41.0092 | − | 29.7949i | −1.44718 | − | 1.05144i | ||||
\(804\) | 1.38111 | − | 1.00344i | 0.0487080 | − | 0.0353885i | ||||
\(805\) | 26.5732 | 0.936582 | ||||||||
\(806\) | 0.799510 | + | 16.9642i | 0.0281615 | + | 0.597540i | ||||
\(807\) | −1.97064 | −0.0693698 | ||||||||
\(808\) | 13.7555 | − | 9.99396i | 0.483917 | − | 0.351586i | ||||
\(809\) | 30.5437 | + | 22.1913i | 1.07386 | + | 0.780204i | 0.976602 | − | 0.215056i | \(-0.0689933\pi\) |
0.0972563 | + | 0.995259i | \(0.468993\pi\) | |||||||
\(810\) | 0.309017 | − | 0.951057i | 0.0108578 | − | 0.0334167i | ||||
\(811\) | 50.7577 | 1.78234 | 0.891172 | − | 0.453666i | \(-0.149884\pi\) | ||||
0.891172 | + | 0.453666i | \(0.149884\pi\) | |||||||
\(812\) | −13.5046 | −0.473919 | ||||||||
\(813\) | 1.47408 | − | 4.53675i | 0.0516982 | − | 0.159111i | ||||
\(814\) | −7.48687 | − | 23.0422i | −0.262415 | − | 0.807629i | ||||
\(815\) | −0.185547 | − | 0.571054i | −0.00649942 | − | 0.0200032i | ||||
\(816\) | 5.23097 | − | 3.80052i | 0.183121 | − | 0.133045i | ||||
\(817\) | −5.19236 | + | 15.9804i | −0.181658 | + | 0.559085i | ||||
\(818\) | −10.7544 | + | 7.81355i | −0.376020 | + | 0.273195i | ||||
\(819\) | −8.26189 | − | 6.00262i | −0.288694 | − | 0.209748i | ||||
\(820\) | −0.164408 | − | 0.505996i | −0.00574138 | − | 0.0176702i | ||||
\(821\) | −27.8784 | − | 20.2548i | −0.972961 | − | 0.706898i | −0.0168368 | − | 0.999858i | \(-0.505360\pi\) |
−0.956125 | + | 0.292960i | \(0.905360\pi\) | |||||||
\(822\) | 14.6549 | + | 10.6474i | 0.511150 | + | 0.371372i | ||||
\(823\) | 6.04676 | + | 18.6100i | 0.210777 | + | 0.648704i | 0.999427 | + | 0.0338615i | \(0.0107805\pi\) |
−0.788650 | + | 0.614843i | \(0.789219\pi\) | |||||||
\(824\) | 9.32762 | + | 6.77691i | 0.324943 | + | 0.236085i | ||||
\(825\) | −3.93815 | + | 2.86124i | −0.137109 | + | 0.0996155i | ||||
\(826\) | −3.66994 | + | 11.2949i | −0.127694 | + | 0.393000i | ||||
\(827\) | −5.45893 | + | 3.96615i | −0.189826 | + | 0.137916i | −0.678639 | − | 0.734472i | \(-0.737430\pi\) |
0.488813 | + | 0.872388i | \(0.337430\pi\) | |||||||
\(828\) | 2.45267 | + | 7.54854i | 0.0852362 | + | 0.262330i | ||||
\(829\) | −9.99093 | − | 30.7489i | −0.346999 | − | 1.06795i | −0.960505 | − | 0.278263i | \(-0.910241\pi\) |
0.613506 | − | 0.789690i | \(-0.289759\pi\) | |||||||
\(830\) | −2.30495 | + | 7.09389i | −0.0800058 | + | 0.246233i | ||||
\(831\) | 12.4729 | 0.432681 | ||||||||
\(832\) | 3.05025 | 0.105748 | ||||||||
\(833\) | −8.41014 | + | 25.8838i | −0.291394 | + | 0.896819i | ||||
\(834\) | −0.791701 | − | 0.575205i | −0.0274144 | − | 0.0199177i | ||||
\(835\) | 15.5217 | − | 11.2772i | 0.537152 | − | 0.390264i | ||||
\(836\) | 39.0219 | 1.34960 | ||||||||
\(837\) | 5.37038 | + | 1.46934i | 0.185628 | + | 0.0507879i | ||||
\(838\) | −20.1650 | −0.696588 | ||||||||
\(839\) | 17.2667 | − | 12.5450i | 0.596113 | − | 0.433102i | −0.248384 | − | 0.968662i | \(-0.579899\pi\) |
0.844497 | + | 0.535560i | \(0.179899\pi\) | |||||||
\(840\) | −2.70860 | − | 1.96791i | −0.0934555 | − | 0.0678994i | ||||
\(841\) | −3.93375 | + | 12.1068i | −0.135647 | + | 0.417477i | ||||
\(842\) | −1.64456 | −0.0566753 | ||||||||
\(843\) | −4.49938 | −0.154967 | ||||||||
\(844\) | −2.59376 | + | 7.98278i | −0.0892809 | + | 0.274778i | ||||
\(845\) | −1.14212 | − | 3.51509i | −0.0392902 | − | 0.120923i | ||||
\(846\) | 4.18135 | + | 12.8689i | 0.143758 | + | 0.442441i | ||||
\(847\) | −34.3876 | + | 24.9841i | −1.18157 | + | 0.858463i | ||||
\(848\) | −1.98646 | + | 6.11370i | −0.0682153 | + | 0.209945i | ||||
\(849\) | −6.33226 | + | 4.60066i | −0.217323 | + | 0.157894i | ||||
\(850\) | 5.23097 | + | 3.80052i | 0.179421 | + | 0.130357i | ||||
\(851\) | −12.2074 | − | 37.5704i | −0.418463 | − | 1.28790i | ||||
\(852\) | −6.02110 | − | 4.37459i | −0.206280 | − | 0.149871i | ||||
\(853\) | −45.4589 | − | 33.0278i | −1.55648 | − | 1.13085i | −0.938819 | − | 0.344410i | \(-0.888079\pi\) |
−0.617664 | − | 0.786442i | \(-0.711921\pi\) | |||||||
\(854\) | −13.2935 | − | 40.9133i | −0.454896 | − | 1.40003i | ||||
\(855\) | −6.48532 | − | 4.71186i | −0.221793 | − | 0.161142i | ||||
\(856\) | 4.63768 | − | 3.36947i | 0.158513 | − | 0.115166i | ||||
\(857\) | −3.03393 | + | 9.33748i | −0.103637 | + | 0.318962i | −0.989408 | − | 0.145160i | \(-0.953630\pi\) |
0.885771 | + | 0.464122i | \(0.153630\pi\) | |||||||
\(858\) | −12.0123 | + | 8.72748i | −0.410095 | + | 0.297951i | ||||
\(859\) | −12.3332 | − | 37.9576i | −0.420802 | − | 1.29510i | −0.906957 | − | 0.421223i | \(-0.861601\pi\) |
0.486155 | − | 0.873872i | \(-0.338399\pi\) | |||||||
\(860\) | −0.647726 | − | 1.99349i | −0.0220873 | − | 0.0679776i | ||||
\(861\) | −0.550440 | + | 1.69408i | −0.0187589 | + | 0.0577341i | ||||
\(862\) | 16.3059 | 0.555381 | ||||||||
\(863\) | −26.7862 | −0.911812 | −0.455906 | − | 0.890028i | \(-0.650685\pi\) | ||||
−0.455906 | + | 0.890028i | \(0.650685\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | −8.36359 | − | 6.07651i | −0.284371 | − | 0.206607i | ||||
\(866\) | 4.64053 | − | 3.37154i | 0.157691 | − | 0.114570i | ||||
\(867\) | 24.8070 | 0.842492 | ||||||||
\(868\) | 10.2348 | − | 15.5799i | 0.347390 | − | 0.528817i | ||||
\(869\) | 22.9389 | 0.778150 | ||||||||
\(870\) | 3.26327 | − | 2.37090i | 0.110635 | − | 0.0803812i | ||||
\(871\) | 4.21273 | + | 3.06073i | 0.142743 | + | 0.103709i | ||||
\(872\) | −1.75362 | + | 5.39710i | −0.0593852 | + | 0.182769i | ||||
\(873\) | 1.41818 | 0.0479983 | ||||||||
\(874\) | 63.6254 | 2.15216 | ||||||||
\(875\) | 1.03459 | − | 3.18415i | 0.0349756 | − | 0.107644i | ||||
\(876\) | 3.21789 | + | 9.90364i | 0.108722 | + | 0.334613i | ||||
\(877\) | 6.05680 | + | 18.6409i | 0.204524 | + | 0.629459i | 0.999733 | + | 0.0231237i | \(0.00736115\pi\) |
−0.795209 | + | 0.606336i | \(0.792639\pi\) | |||||||
\(878\) | −22.5201 | + | 16.3618i | −0.760016 | + | 0.552184i | ||||
\(879\) | 4.59578 | − | 14.1444i | 0.155012 | − | 0.477078i | ||||
\(880\) | −3.93815 | + | 2.86124i | −0.132755 | + | 0.0964523i | ||||
\(881\) | −36.8123 | − | 26.7457i | −1.24024 | − | 0.901085i | −0.242623 | − | 0.970121i | \(-0.578008\pi\) |
−0.997614 | + | 0.0690358i | \(0.978008\pi\) | |||||||
\(882\) | 1.30070 | + | 4.00316i | 0.0437970 | + | 0.134793i | ||||
\(883\) | −24.9962 | − | 18.1608i | −0.841190 | − | 0.611160i | 0.0815128 | − | 0.996672i | \(-0.474025\pi\) |
−0.922703 | + | 0.385512i | \(0.874025\pi\) | |||||||
\(884\) | 15.9558 | + | 11.5925i | 0.536650 | + | 0.389899i | ||||
\(885\) | −1.09616 | − | 3.37362i | −0.0368469 | − | 0.113403i | ||||
\(886\) | −9.48543 | − | 6.89157i | −0.318669 | − | 0.231527i | ||||
\(887\) | 6.82072 | − | 4.95555i | 0.229017 | − | 0.166391i | −0.467359 | − | 0.884068i | \(-0.654794\pi\) |
0.696376 | + | 0.717677i | \(0.254794\pi\) | |||||||
\(888\) | −1.53803 | + | 4.73357i | −0.0516129 | + | 0.158848i | ||||
\(889\) | −37.2934 | + | 27.0953i | −1.25078 | + | 0.908746i | ||||
\(890\) | 2.48197 | + | 7.63872i | 0.0831959 | + | 0.256051i | ||||
\(891\) | 1.50424 | + | 4.62958i | 0.0503940 | + | 0.155097i | ||||
\(892\) | −8.20259 | + | 25.2450i | −0.274643 | + | 0.845264i | ||||
\(893\) | 108.469 | 3.62979 | ||||||||
\(894\) | 19.6302 | 0.656533 | ||||||||
\(895\) | −1.55063 | + | 4.77233i | −0.0518317 | + | 0.159522i | ||||
\(896\) | −2.70860 | − | 1.96791i | −0.0904879 | − | 0.0657433i | ||||
\(897\) | −19.5862 | + | 14.2302i | −0.653964 | + | 0.475132i | ||||
\(898\) | −18.6882 | −0.623634 | ||||||||
\(899\) | 14.0413 | + | 17.5275i | 0.468305 | + | 0.584576i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −33.6264 | + | 24.4310i | −1.12026 | + | 0.813914i | ||||
\(902\) | 2.09524 | + | 1.52228i | 0.0697638 | + | 0.0506864i | ||||
\(903\) | −2.16859 | + | 6.67424i | −0.0721662 | + | 0.222105i | ||||
\(904\) | −6.37102 | −0.211897 | ||||||||
\(905\) | 15.3207 | 0.509277 | ||||||||
\(906\) | −3.65243 | + | 11.2410i | −0.121344 | + | 0.373458i | ||||
\(907\) | 11.6139 | + | 35.7440i | 0.385634 | + | 1.18686i | 0.936019 | + | 0.351948i | \(0.114481\pi\) |
−0.550386 | + | 0.834911i | \(0.685519\pi\) | |||||||
\(908\) | 2.56502 | + | 7.89430i | 0.0851230 | + | 0.261982i | ||||
\(909\) | 13.7555 | − | 9.99396i | 0.456242 | − | 0.331479i | ||||
\(910\) | 3.15576 | − | 9.71244i | 0.104612 | − | 0.321964i | ||||
\(911\) | 17.0480 | − | 12.3861i | 0.564827 | − | 0.410371i | −0.268395 | − | 0.963309i | \(-0.586493\pi\) |
0.833222 | + | 0.552938i | \(0.186493\pi\) | |||||||
\(912\) | −6.48532 | − | 4.71186i | −0.214750 | − | 0.156025i | ||||
\(913\) | −11.2201 | − | 34.5318i | −0.371330 | − | 1.14284i | ||||
\(914\) | 13.0458 | + | 9.47832i | 0.431516 | + | 0.313515i | ||||
\(915\) | 10.3951 | + | 7.55250i | 0.343652 | + | 0.249678i | ||||
\(916\) | −1.58928 | − | 4.89131i | −0.0525114 | − | 0.161613i | ||||
\(917\) | −0.243447 | − | 0.176874i | −0.00803931 | − | 0.00584090i | ||||
\(918\) | 5.23097 | − | 3.80052i | 0.172648 | − | 0.125436i | ||||
\(919\) | −12.7611 | + | 39.2745i | −0.420949 | + | 1.29555i | 0.485872 | + | 0.874030i | \(0.338502\pi\) |
−0.906821 | + | 0.421516i | \(0.861498\pi\) | |||||||
\(920\) | −6.42118 | + | 4.66526i | −0.211700 | + | 0.153809i | ||||
\(921\) | 6.42716 | + | 19.7808i | 0.211782 | + | 0.651798i | ||||
\(922\) | −4.98160 | − | 15.3318i | −0.164060 | − | 0.504926i | ||||
\(923\) | 7.01513 | − | 21.5904i | 0.230906 | − | 0.710655i | ||||
\(924\) | 16.2975 | 0.536149 | ||||||||
\(925\) | −4.97717 | −0.163648 | ||||||||
\(926\) | −8.80743 | + | 27.1065i | −0.289430 | + | 0.890775i | ||||
\(927\) | 9.32762 | + | 6.77691i | 0.306359 | + | 0.222583i | ||||
\(928\) | 3.26327 | − | 2.37090i | 0.107122 | − | 0.0778287i | ||||
\(929\) | −0.193237 | −0.00633990 | −0.00316995 | − | 0.999995i | \(-0.501009\pi\) | ||||
−0.00316995 | + | 0.999995i | \(0.501009\pi\) | |||||||
\(930\) | 0.262113 | + | 5.56159i | 0.00859503 | + | 0.182372i | ||||
\(931\) | 33.7419 | 1.10585 | ||||||||
\(932\) | −2.09838 | + | 1.52456i | −0.0687347 | + | 0.0499387i | ||||
\(933\) | 17.1911 | + | 12.4901i | 0.562811 | + | 0.408906i | ||||
\(934\) | 3.33549 | − | 10.2656i | 0.109140 | − | 0.335900i | ||||
\(935\) | −31.4746 | −1.02933 | ||||||||
\(936\) | 3.05025 | 0.0997005 | ||||||||
\(937\) | −5.54922 | + | 17.0788i | −0.181285 | + | 0.557938i | −0.999865 | − | 0.0164549i | \(-0.994762\pi\) |
0.818579 | + | 0.574393i | \(0.194762\pi\) | |||||||
\(938\) | −1.76620 | − | 5.43581i | −0.0576685 | − | 0.177485i | ||||
\(939\) | 4.80663 | + | 14.7933i | 0.156858 | + | 0.482761i | ||||
\(940\) | −10.9469 | + | 7.95340i | −0.357049 | + | 0.259411i | ||||
\(941\) | 3.95946 | − | 12.1860i | 0.129075 | − | 0.397251i | −0.865547 | − | 0.500828i | \(-0.833029\pi\) |
0.994621 | + | 0.103577i | \(0.0330289\pi\) | |||||||
\(942\) | 4.56771 | − | 3.31863i | 0.148824 | − | 0.108127i | ||||
\(943\) | 3.41630 | + | 2.48208i | 0.111250 | + | 0.0808278i | ||||
\(944\) | −1.09616 | − | 3.37362i | −0.0356768 | − | 0.109802i | ||||
\(945\) | −2.70860 | − | 1.96791i | −0.0881107 | − | 0.0640161i | ||||
\(946\) | 8.25470 | + | 5.99739i | 0.268384 | + | 0.194992i | ||||
\(947\) | −17.0612 | − | 52.5090i | −0.554415 | − | 1.70631i | −0.697484 | − | 0.716601i | \(-0.745697\pi\) |
0.143069 | − | 0.989713i | \(-0.454303\pi\) | |||||||
\(948\) | −3.81238 | − | 2.76985i | −0.123820 | − | 0.0899607i | ||||
\(949\) | −25.6969 | + | 18.6699i | −0.834158 | + | 0.606051i | ||||
\(950\) | 2.47717 | − | 7.62395i | 0.0803700 | − | 0.247353i | ||||
\(951\) | 14.9192 | − | 10.8395i | 0.483789 | − | 0.351493i | ||||
\(952\) | −6.68950 | − | 20.5882i | −0.216808 | − | 0.667266i | ||||
\(953\) | −9.63480 | − | 29.6529i | −0.312102 | − | 0.960550i | −0.976931 | − | 0.213555i | \(-0.931496\pi\) |
0.664829 | − | 0.746995i | \(-0.268504\pi\) | |||||||
\(954\) | −1.98646 | + | 6.11370i | −0.0643140 | + | 0.197938i | ||||
\(955\) | 2.99484 | 0.0969106 | ||||||||
\(956\) | −5.90186 | −0.190880 | ||||||||
\(957\) | −6.06754 | + | 18.6740i | −0.196136 | + | 0.603644i | ||||
\(958\) | 20.3125 | + | 14.7579i | 0.656266 | + | 0.476805i | ||||
\(959\) | 49.0649 | − | 35.6477i | 1.58439 | − | 1.15112i | ||||
\(960\) | 1.00000 | 0.0322749 | ||||||||
\(961\) | −30.8626 | + | 2.91553i | −0.995568 | + | 0.0940494i | ||||
\(962\) | −15.1816 | −0.489475 | ||||||||
\(963\) | 4.63768 | − | 3.36947i | 0.149447 | − | 0.108580i | ||||
\(964\) | −12.2384 | − | 8.89170i | −0.394171 | − | 0.286382i | ||||
\(965\) | −7.86639 | + | 24.2103i | −0.253228 | + | 0.779356i | ||||
\(966\) | 26.5732 | 0.854978 | ||||||||
\(967\) | 49.4672 | 1.59076 | 0.795379 | − | 0.606113i | \(-0.207272\pi\) | ||||
0.795379 | + | 0.606113i | \(0.207272\pi\) | |||||||
\(968\) | 3.92320 | − | 12.0744i | 0.126096 | − | 0.388085i | ||||
\(969\) | −16.0170 | − | 49.2952i | −0.514540 | − | 1.58359i | ||||
\(970\) | 0.438243 | + | 1.34877i | 0.0140711 | + | 0.0433065i | ||||
\(971\) | −7.93732 | + | 5.76680i | −0.254721 | + | 0.185065i | −0.707816 | − | 0.706396i | \(-0.750320\pi\) |
0.453096 | + | 0.891462i | \(0.350320\pi\) | |||||||
\(972\) | 0.309017 | − | 0.951057i | 0.00991172 | − | 0.0305052i | ||||
\(973\) | −2.65062 | + | 1.92579i | −0.0849751 | + | 0.0617380i | ||||
\(974\) | −29.0874 | − | 21.1333i | −0.932022 | − | 0.677154i | ||||
\(975\) | 0.942579 | + | 2.90096i | 0.0301867 | + | 0.0929050i | ||||
\(976\) | 10.3951 | + | 7.55250i | 0.332740 | + | 0.241750i | ||||
\(977\) | −9.47124 | − | 6.88126i | −0.303012 | − | 0.220151i | 0.425880 | − | 0.904780i | \(-0.359964\pi\) |
−0.728892 | + | 0.684629i | \(0.759964\pi\) | |||||||
\(978\) | −0.185547 | − | 0.571054i | −0.00593313 | − | 0.0182603i | ||||
\(979\) | −31.6306 | − | 22.9810i | −1.01092 | − | 0.734475i | ||||
\(980\) | −3.40529 | + | 2.47409i | −0.108778 | + | 0.0790318i | ||||
\(981\) | −1.75362 | + | 5.39710i | −0.0559889 | + | 0.172316i | ||||
\(982\) | 20.0914 | − | 14.5973i | 0.641142 | − | 0.465817i | ||||
\(983\) | 15.1417 | + | 46.6013i | 0.482945 | + | 1.48635i | 0.834935 | + | 0.550348i | \(0.185505\pi\) |
−0.351990 | + | 0.936004i | \(0.614495\pi\) | |||||||
\(984\) | −0.164408 | − | 0.505996i | −0.00524114 | − | 0.0161306i | ||||
\(985\) | 7.48006 | − | 23.0213i | 0.238335 | − | 0.733518i | ||||
\(986\) | 26.0807 | 0.830580 | ||||||||
\(987\) | 45.3023 | 1.44199 | ||||||||
\(988\) | 7.55598 | − | 23.2549i | 0.240388 | − | 0.739838i | ||||
\(989\) | 13.4593 | + | 9.77877i | 0.427982 | + | 0.310947i | ||||
\(990\) | −3.93815 | + | 2.86124i | −0.125163 | + | 0.0909361i | ||||
\(991\) | 34.2843 | 1.08908 | 0.544539 | − | 0.838735i | \(-0.316705\pi\) | ||||
0.544539 | + | 0.838735i | \(0.316705\pi\) | |||||||
\(992\) | 0.262113 | + | 5.56159i | 0.00832210 | + | 0.176581i | ||||
\(993\) | −20.6006 | −0.653740 | ||||||||
\(994\) | −20.1587 | + | 14.6462i | −0.639395 | + | 0.464548i | ||||
\(995\) | 12.6754 | + | 9.20920i | 0.401837 | + | 0.291951i | ||||
\(996\) | −2.30495 | + | 7.09389i | −0.0730350 | + | 0.224779i | ||||
\(997\) | −38.7609 | −1.22757 | −0.613785 | − | 0.789473i | \(-0.710354\pi\) | ||||
−0.613785 | + | 0.789473i | \(0.710354\pi\) | |||||||
\(998\) | 8.50764 | 0.269305 | ||||||||
\(999\) | −1.53803 | + | 4.73357i | −0.0486611 | + | 0.149764i |
(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 | 930.2.n.g.481.3 | ✓ | 16 | |
31.2 | even | 5 | inner | 930.2.n.g.901.3 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.n.g.481.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
930.2.n.g.901.3 | yes | 16 | 31.2 | even | 5 | inner |