Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Root | \(0.500000 - 0.0126039i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.169 |
Dual form | 378.2.u.b.85.1 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | + | 0.342020i | −0.664463 | + | 0.241845i | ||||
\(3\) | −1.04508 | − | 1.38124i | −0.603375 | − | 0.797458i | ||||
\(4\) | 0.766044 | − | 0.642788i | 0.383022 | − | 0.321394i | ||||
\(5\) | 0.108876 | + | 0.617467i | 0.0486909 | + | 0.276140i | 0.999426 | − | 0.0338632i | \(-0.0107811\pi\) |
−0.950736 | + | 0.310003i | \(0.899670\pi\) | |||||||
\(6\) | 1.45446 | + | 0.940501i | 0.593781 | + | 0.383958i | ||||
\(7\) | 0.766044 | + | 0.642788i | 0.289538 | + | 0.242951i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −0.815631 | + | 2.88700i | −0.271877 | + | 0.962332i | ||||
\(10\) | −0.313496 | − | 0.542992i | −0.0991362 | − | 0.171709i | ||||
\(11\) | −0.0434396 | + | 0.246358i | −0.0130975 | + | 0.0742798i | −0.990656 | − | 0.136385i | \(-0.956452\pi\) |
0.977558 | + | 0.210665i | \(0.0675628\pi\) | |||||||
\(12\) | −1.68842 | − | 0.386327i | −0.487404 | − | 0.111523i | ||||
\(13\) | 3.98990 | + | 1.45220i | 1.10660 | + | 0.402769i | 0.829745 | − | 0.558143i | \(-0.188486\pi\) |
0.276854 | + | 0.960912i | \(0.410708\pi\) | |||||||
\(14\) | −0.939693 | − | 0.342020i | −0.251143 | − | 0.0914087i | ||||
\(15\) | 0.739085 | − | 0.795684i | 0.190831 | − | 0.205445i | ||||
\(16\) | 0.173648 | − | 0.984808i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 0.0870455 | + | 0.150767i | 0.0211116 | + | 0.0365664i | 0.876388 | − | 0.481605i | \(-0.159946\pi\) |
−0.855277 | + | 0.518172i | \(0.826613\pi\) | |||||||
\(18\) | −0.220968 | − | 2.99185i | −0.0520827 | − | 0.705186i | ||||
\(19\) | 1.22610 | − | 2.12366i | 0.281286 | − | 0.487202i | −0.690416 | − | 0.723413i | \(-0.742572\pi\) |
0.971702 | + | 0.236211i | \(0.0759057\pi\) | |||||||
\(20\) | 0.480304 | + | 0.403023i | 0.107399 | + | 0.0901187i | ||||
\(21\) | 0.0872671 | − | 1.72985i | 0.0190433 | − | 0.377484i | ||||
\(22\) | −0.0434396 | − | 0.246358i | −0.00926136 | − | 0.0525238i | ||||
\(23\) | 0.0380340 | − | 0.0319143i | 0.00793063 | − | 0.00665459i | −0.638814 | − | 0.769361i | \(-0.720575\pi\) |
0.646744 | + | 0.762707i | \(0.276130\pi\) | |||||||
\(24\) | 1.71872 | − | 0.214444i | 0.350833 | − | 0.0437732i | ||||
\(25\) | 4.32905 | − | 1.57565i | 0.865810 | − | 0.315129i | ||||
\(26\) | −4.24596 | −0.832701 | ||||||||
\(27\) | 4.84002 | − | 1.89055i | 0.931463 | − | 0.363837i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | 0.635836 | − | 0.231425i | 0.118072 | − | 0.0429746i | −0.282309 | − | 0.959324i | \(-0.591100\pi\) |
0.400380 | + | 0.916349i | \(0.368878\pi\) | |||||||
\(30\) | −0.422372 | + | 1.00048i | −0.0771143 | + | 0.182662i | ||||
\(31\) | 5.73496 | − | 4.81221i | 1.03003 | − | 0.864298i | 0.0391754 | − | 0.999232i | \(-0.487527\pi\) |
0.990854 | + | 0.134935i | \(0.0430825\pi\) | |||||||
\(32\) | 0.173648 | + | 0.984808i | 0.0306970 | + | 0.174091i | ||||
\(33\) | 0.385677 | − | 0.197463i | 0.0671378 | − | 0.0343739i | ||||
\(34\) | −0.133361 | − | 0.111904i | −0.0228713 | − | 0.0191913i | ||||
\(35\) | −0.313496 | + | 0.542992i | −0.0529905 | + | 0.0917823i | ||||
\(36\) | 1.23092 | + | 2.73584i | 0.205153 | + | 0.455974i | ||||
\(37\) | 2.59919 | + | 4.50193i | 0.427304 | + | 0.740113i | 0.996633 | − | 0.0819975i | \(-0.0261300\pi\) |
−0.569328 | + | 0.822110i | \(0.692797\pi\) | |||||||
\(38\) | −0.425819 | + | 2.41494i | −0.0690770 | + | 0.391755i | ||||
\(39\) | −2.16391 | − | 7.02866i | −0.346503 | − | 1.12549i | ||||
\(40\) | −0.589180 | − | 0.214444i | −0.0931576 | − | 0.0339066i | ||||
\(41\) | 11.3770 | + | 4.14090i | 1.77679 | + | 0.646700i | 0.999853 | + | 0.0171245i | \(0.00545118\pi\) |
0.776940 | + | 0.629575i | \(0.216771\pi\) | |||||||
\(42\) | 0.509640 | + | 1.65538i | 0.0786391 | + | 0.255430i | ||||
\(43\) | 0.237614 | − | 1.34758i | 0.0362358 | − | 0.205504i | −0.961315 | − | 0.275452i | \(-0.911172\pi\) |
0.997551 | + | 0.0699486i | \(0.0222835\pi\) | |||||||
\(44\) | 0.125079 | + | 0.216644i | 0.0188564 | + | 0.0326603i | ||||
\(45\) | −1.87143 | − | 0.189301i | −0.278976 | − | 0.0282193i | ||||
\(46\) | −0.0248249 | + | 0.0429980i | −0.00366023 | + | 0.00633971i | ||||
\(47\) | 0.339914 | + | 0.285222i | 0.0495816 | + | 0.0416039i | 0.667242 | − | 0.744841i | \(-0.267475\pi\) |
−0.617660 | + | 0.786445i | \(0.711919\pi\) | |||||||
\(48\) | −1.54173 | + | 0.789350i | −0.222529 | + | 0.113933i | ||||
\(49\) | 0.173648 | + | 0.984808i | 0.0248069 | + | 0.140687i | ||||
\(50\) | −3.52908 | + | 2.96125i | −0.499087 | + | 0.418783i | ||||
\(51\) | 0.117276 | − | 0.277794i | 0.0164219 | − | 0.0388989i | ||||
\(52\) | 3.98990 | − | 1.45220i | 0.553299 | − | 0.201384i | ||||
\(53\) | −12.0962 | −1.66154 | −0.830771 | − | 0.556614i | \(-0.812100\pi\) | ||||
−0.830771 | + | 0.556614i | \(0.812100\pi\) | |||||||
\(54\) | −3.90153 | + | 3.43192i | −0.530931 | + | 0.467025i | ||||
\(55\) | −0.156848 | −0.0211493 | ||||||||
\(56\) | −0.939693 | + | 0.342020i | −0.125572 | + | 0.0457044i | ||||
\(57\) | −4.21465 | + | 0.525859i | −0.558244 | + | 0.0696517i | ||||
\(58\) | −0.518338 | + | 0.434937i | −0.0680611 | + | 0.0571101i | ||||
\(59\) | 0.847403 | + | 4.80586i | 0.110323 | + | 0.625670i | 0.988960 | + | 0.148181i | \(0.0473418\pi\) |
−0.878638 | + | 0.477489i | \(0.841547\pi\) | |||||||
\(60\) | 0.0547159 | − | 1.08460i | 0.00706379 | − | 0.140022i | ||||
\(61\) | −2.13354 | − | 1.79025i | −0.273171 | − | 0.229218i | 0.495902 | − | 0.868379i | \(-0.334838\pi\) |
−0.769073 | + | 0.639160i | \(0.779282\pi\) | |||||||
\(62\) | −3.74323 | + | 6.48347i | −0.475391 | + | 0.823401i | ||||
\(63\) | −2.48053 | + | 1.68729i | −0.312518 | + | 0.212579i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.462284 | + | 2.62174i | −0.0573392 | + | 0.325187i | ||||
\(66\) | −0.294882 | + | 0.317464i | −0.0362974 | + | 0.0390771i | ||||
\(67\) | −3.13920 | − | 1.14257i | −0.383514 | − | 0.139588i | 0.143066 | − | 0.989713i | \(-0.454304\pi\) |
−0.526580 | + | 0.850125i | \(0.676526\pi\) | |||||||
\(68\) | 0.163592 | + | 0.0595426i | 0.0198384 | + | 0.00722060i | ||||
\(69\) | −0.0838296 | − | 0.0191810i | −0.0100919 | − | 0.00230913i | ||||
\(70\) | 0.108876 | − | 0.617467i | 0.0130132 | − | 0.0738014i | ||||
\(71\) | −2.14487 | − | 3.71502i | −0.254549 | − | 0.440892i | 0.710224 | − | 0.703976i | \(-0.248594\pi\) |
−0.964773 | + | 0.263084i | \(0.915260\pi\) | |||||||
\(72\) | −2.09240 | − | 2.14986i | −0.246591 | − | 0.253363i | ||||
\(73\) | −4.93331 | + | 8.54475i | −0.577401 | + | 1.00009i | 0.418376 | + | 0.908274i | \(0.362600\pi\) |
−0.995776 | + | 0.0918132i | \(0.970734\pi\) | |||||||
\(74\) | −3.98219 | − | 3.34146i | −0.462920 | − | 0.388436i | ||||
\(75\) | −6.70053 | − | 4.33278i | −0.773710 | − | 0.500306i | ||||
\(76\) | −0.425819 | − | 2.41494i | −0.0488448 | − | 0.277013i | ||||
\(77\) | −0.191633 | + | 0.160799i | −0.0218386 | + | 0.0183247i | ||||
\(78\) | 4.43735 | + | 5.86468i | 0.502431 | + | 0.664044i | ||||
\(79\) | 5.12170 | − | 1.86415i | 0.576237 | − | 0.209733i | −0.0374285 | − | 0.999299i | \(-0.511917\pi\) |
0.613665 | + | 0.789566i | \(0.289694\pi\) | |||||||
\(80\) | 0.626993 | 0.0700999 | ||||||||
\(81\) | −7.66949 | − | 4.70945i | −0.852166 | − | 0.523272i | ||||
\(82\) | −12.1072 | −1.33701 | ||||||||
\(83\) | 5.81583 | − | 2.11679i | 0.638371 | − | 0.232348i | −0.00249992 | − | 0.999997i | \(-0.500796\pi\) |
0.640871 | + | 0.767649i | \(0.278574\pi\) | |||||||
\(84\) | −1.04508 | − | 1.38124i | −0.114027 | − | 0.150705i | ||||
\(85\) | −0.0836166 | + | 0.0701627i | −0.00906950 | + | 0.00761021i | ||||
\(86\) | 0.237614 | + | 1.34758i | 0.0256226 | + | 0.145313i | ||||
\(87\) | −0.984150 | − | 0.636383i | −0.105512 | − | 0.0682274i | ||||
\(88\) | −0.191633 | − | 0.160799i | −0.0204281 | − | 0.0171412i | ||||
\(89\) | 3.53501 | − | 6.12282i | 0.374710 | − | 0.649017i | −0.615573 | − | 0.788080i | \(-0.711075\pi\) |
0.990284 | + | 0.139062i | \(0.0444088\pi\) | |||||||
\(90\) | 1.82331 | − | 0.462182i | 0.192194 | − | 0.0487182i | ||||
\(91\) | 2.12298 | + | 3.67711i | 0.222549 | + | 0.385466i | ||||
\(92\) | 0.00862160 | − | 0.0488955i | 0.000898864 | − | 0.00509771i | ||||
\(93\) | −12.6403 | − | 2.89222i | −1.31074 | − | 0.299909i | ||||
\(94\) | −0.416967 | − | 0.151763i | −0.0430068 | − | 0.0156532i | ||||
\(95\) | 1.44478 | + | 0.525859i | 0.148232 | + | 0.0539520i | ||||
\(96\) | 1.17878 | − | 1.26905i | 0.120308 | − | 0.129522i | ||||
\(97\) | −2.64647 | + | 15.0089i | −0.268709 | + | 1.52392i | 0.489554 | + | 0.871973i | \(0.337159\pi\) |
−0.758263 | + | 0.651949i | \(0.773952\pi\) | |||||||
\(98\) | −0.500000 | − | 0.866025i | −0.0505076 | − | 0.0874818i | ||||
\(99\) | −0.675805 | − | 0.326348i | −0.0679210 | − | 0.0327992i | ||||
\(100\) | 2.30344 | − | 3.98968i | 0.230344 | − | 0.398968i | ||||
\(101\) | 1.89098 | + | 1.58672i | 0.188159 | + | 0.157884i | 0.732001 | − | 0.681303i | \(-0.238586\pi\) |
−0.543842 | + | 0.839188i | \(0.683031\pi\) | |||||||
\(102\) | −0.0151924 | + | 0.301151i | −0.00150427 | + | 0.0298184i | ||||
\(103\) | −1.89237 | − | 10.7322i | −0.186461 | − | 1.05747i | −0.924064 | − | 0.382238i | \(-0.875153\pi\) |
0.737603 | − | 0.675235i | \(-0.235958\pi\) | |||||||
\(104\) | −3.25259 | + | 2.72925i | −0.318943 | + | 0.267625i | ||||
\(105\) | 1.07763 | − | 0.134455i | 0.105166 | − | 0.0131215i | ||||
\(106\) | 11.3667 | − | 4.13715i | 1.10403 | − | 0.401835i | ||||
\(107\) | −16.4462 | −1.58991 | −0.794956 | − | 0.606667i | \(-0.792506\pi\) | ||||
−0.794956 | + | 0.606667i | \(0.792506\pi\) | |||||||
\(108\) | 2.49245 | − | 4.55935i | 0.239836 | − | 0.438724i | ||||
\(109\) | −14.2596 | −1.36582 | −0.682910 | − | 0.730502i | \(-0.739286\pi\) | ||||
−0.682910 | + | 0.730502i | \(0.739286\pi\) | |||||||
\(110\) | 0.147389 | − | 0.0536451i | 0.0140530 | − | 0.00511486i | ||||
\(111\) | 3.50188 | − | 8.29496i | 0.332384 | − | 0.787323i | ||||
\(112\) | 0.766044 | − | 0.642788i | 0.0723844 | − | 0.0607377i | ||||
\(113\) | 0.856231 | + | 4.85593i | 0.0805475 | + | 0.456807i | 0.998229 | + | 0.0594903i | \(0.0189475\pi\) |
−0.917681 | + | 0.397317i | \(0.869941\pi\) | |||||||
\(114\) | 3.78062 | − | 1.93564i | 0.354087 | − | 0.181289i | ||||
\(115\) | 0.0238470 | + | 0.0200100i | 0.00222374 | + | 0.00186594i | ||||
\(116\) | 0.338321 | − | 0.585990i | 0.0314123 | − | 0.0544078i | ||||
\(117\) | −7.44679 | + | 10.3344i | −0.688456 | + | 0.955412i | ||||
\(118\) | −2.44000 | − | 4.22620i | −0.224620 | − | 0.389054i | ||||
\(119\) | −0.0302306 | + | 0.171446i | −0.00277123 | + | 0.0157164i | ||||
\(120\) | 0.319540 | + | 1.03791i | 0.0291699 | + | 0.0947476i | ||||
\(121\) | 10.2778 | + | 3.74082i | 0.934347 | + | 0.340074i | ||||
\(122\) | 2.61717 | + | 0.952572i | 0.236948 | + | 0.0862418i | ||||
\(123\) | −6.17030 | − | 20.0419i | −0.556357 | − | 1.80712i | ||||
\(124\) | 1.30001 | − | 7.37273i | 0.116744 | − | 0.662090i | ||||
\(125\) | 3.01172 | + | 5.21645i | 0.269377 | + | 0.466574i | ||||
\(126\) | 1.75385 | − | 2.43393i | 0.156246 | − | 0.216831i | ||||
\(127\) | −9.17226 | + | 15.8868i | −0.813907 | + | 1.40973i | 0.0962039 | + | 0.995362i | \(0.469330\pi\) |
−0.910110 | + | 0.414366i | \(0.864003\pi\) | |||||||
\(128\) | 0.766044 | + | 0.642788i | 0.0677094 | + | 0.0568149i | ||||
\(129\) | −2.10965 | + | 1.08012i | −0.185744 | + | 0.0950992i | ||||
\(130\) | −0.462284 | − | 2.62174i | −0.0405450 | − | 0.229942i | ||||
\(131\) | 16.3481 | − | 13.7177i | 1.42834 | − | 1.19852i | 0.481660 | − | 0.876358i | \(-0.340034\pi\) |
0.946684 | − | 0.322165i | \(-0.104411\pi\) | |||||||
\(132\) | 0.168519 | − | 0.399174i | 0.0146677 | − | 0.0347436i | ||||
\(133\) | 2.30431 | − | 0.838700i | 0.199809 | − | 0.0727245i | ||||
\(134\) | 3.34066 | 0.288589 | ||||||||
\(135\) | 1.69432 | + | 2.78272i | 0.145824 | + | 0.239498i | ||||
\(136\) | −0.174091 | −0.0149282 | ||||||||
\(137\) | −5.21790 | + | 1.89916i | −0.445796 | + | 0.162256i | −0.555157 | − | 0.831746i | \(-0.687342\pi\) |
0.109361 | + | 0.994002i | \(0.465120\pi\) | |||||||
\(138\) | 0.0853343 | − | 0.0106471i | 0.00726414 | − | 0.000906342i | ||||
\(139\) | −0.678301 | + | 0.569162i | −0.0575327 | + | 0.0482757i | −0.671101 | − | 0.741366i | \(-0.734178\pi\) |
0.613568 | + | 0.789642i | \(0.289734\pi\) | |||||||
\(140\) | 0.108876 | + | 0.617467i | 0.00920171 | + | 0.0521855i | ||||
\(141\) | 0.0387228 | − | 0.767581i | 0.00326105 | − | 0.0646420i | ||||
\(142\) | 3.28613 | + | 2.75739i | 0.275766 | + | 0.231395i | ||||
\(143\) | −0.531082 | + | 0.919862i | −0.0444113 | + | 0.0769227i | ||||
\(144\) | 2.70150 | + | 1.30456i | 0.225125 | + | 0.108713i | ||||
\(145\) | 0.212125 | + | 0.367411i | 0.0176160 | + | 0.0305118i | ||||
\(146\) | 1.71332 | − | 9.71673i | 0.141796 | − | 0.804162i | ||||
\(147\) | 1.17878 | − | 1.26905i | 0.0972239 | − | 0.104669i | ||||
\(148\) | 4.88488 | + | 1.77795i | 0.401535 | + | 0.146147i | ||||
\(149\) | 4.99854 | + | 1.81932i | 0.409497 | + | 0.149045i | 0.538551 | − | 0.842593i | \(-0.318972\pi\) |
−0.129054 | + | 0.991638i | \(0.541194\pi\) | |||||||
\(150\) | 7.77833 | + | 1.77976i | 0.635098 | + | 0.145317i | ||||
\(151\) | −1.61648 | + | 9.16750i | −0.131547 | + | 0.746040i | 0.845655 | + | 0.533730i | \(0.179210\pi\) |
−0.977202 | + | 0.212311i | \(0.931901\pi\) | |||||||
\(152\) | 1.22610 | + | 2.12366i | 0.0994496 | + | 0.172252i | ||||
\(153\) | −0.506261 | + | 0.128330i | −0.0409288 | + | 0.0103748i | ||||
\(154\) | 0.125079 | − | 0.216644i | 0.0100792 | − | 0.0174577i | ||||
\(155\) | 3.59578 | + | 3.01722i | 0.288820 | + | 0.242349i | ||||
\(156\) | −6.17559 | − | 3.99333i | −0.494443 | − | 0.319722i | ||||
\(157\) | −1.23178 | − | 6.98577i | −0.0983067 | − | 0.557525i | −0.993684 | − | 0.112216i | \(-0.964205\pi\) |
0.895377 | − | 0.445309i | \(-0.146906\pi\) | |||||||
\(158\) | −4.17525 | + | 3.50345i | −0.332165 | + | 0.278720i | ||||
\(159\) | 12.6415 | + | 16.7077i | 1.00253 | + | 1.32501i | ||||
\(160\) | −0.589180 | + | 0.214444i | −0.0465788 | + | 0.0169533i | ||||
\(161\) | 0.0496498 | 0.00391295 | ||||||||
\(162\) | 8.81769 | + | 1.80231i | 0.692783 | + | 0.141603i | ||||
\(163\) | 0.0659960 | 0.00516921 | 0.00258460 | − | 0.999997i | \(-0.499177\pi\) | ||||
0.00258460 | + | 0.999997i | \(0.499177\pi\) | |||||||
\(164\) | 11.3770 | − | 4.14090i | 0.888396 | − | 0.323350i | ||||
\(165\) | 0.163918 | + | 0.216644i | 0.0127610 | + | 0.0168657i | ||||
\(166\) | −4.74111 | + | 3.97826i | −0.367982 | + | 0.308773i | ||||
\(167\) | 2.73325 | + | 15.5010i | 0.211505 | + | 1.19950i | 0.886869 | + | 0.462020i | \(0.152875\pi\) |
−0.675364 | + | 0.737484i | \(0.736014\pi\) | |||||||
\(168\) | 1.45446 | + | 0.940501i | 0.112214 | + | 0.0725612i | ||||
\(169\) | 3.85181 | + | 3.23205i | 0.296293 | + | 0.248620i | ||||
\(170\) | 0.0545769 | − | 0.0945299i | 0.00418586 | − | 0.00725011i | ||||
\(171\) | 5.13096 | + | 5.27186i | 0.392375 | + | 0.403149i | ||||
\(172\) | −0.684183 | − | 1.18504i | −0.0521685 | − | 0.0903584i | ||||
\(173\) | 2.41378 | − | 13.6892i | 0.183517 | − | 1.04077i | −0.744330 | − | 0.667812i | \(-0.767231\pi\) |
0.927847 | − | 0.372962i | \(-0.121658\pi\) | |||||||
\(174\) | 1.14245 | + | 0.261405i | 0.0866093 | + | 0.0198171i | ||||
\(175\) | 4.32905 | + | 1.57565i | 0.327246 | + | 0.119108i | ||||
\(176\) | 0.235072 | + | 0.0855594i | 0.0177193 | + | 0.00644928i | ||||
\(177\) | 5.75243 | − | 6.19296i | 0.432379 | − | 0.465491i | ||||
\(178\) | −1.22770 | + | 6.96261i | −0.0920197 | + | 0.521870i | ||||
\(179\) | −2.97554 | − | 5.15378i | −0.222402 | − | 0.385212i | 0.733135 | − | 0.680083i | \(-0.238056\pi\) |
−0.955537 | + | 0.294872i | \(0.904723\pi\) | |||||||
\(180\) | −1.55528 | + | 1.05792i | −0.115924 | + | 0.0788526i | ||||
\(181\) | −7.23503 | + | 12.5314i | −0.537776 | + | 0.931455i | 0.461248 | + | 0.887271i | \(0.347402\pi\) |
−0.999023 | + | 0.0441833i | \(0.985931\pi\) | |||||||
\(182\) | −3.25259 | − | 2.72925i | −0.241098 | − | 0.202306i | ||||
\(183\) | −0.243051 | + | 4.81787i | −0.0179668 | + | 0.356147i | ||||
\(184\) | 0.00862160 | + | 0.0488955i | 0.000635593 | + | 0.00360462i | ||||
\(185\) | −2.49680 | + | 2.09507i | −0.183569 | + | 0.154032i | ||||
\(186\) | 12.8672 | − | 1.60543i | 0.943466 | − | 0.117716i | ||||
\(187\) | −0.0409240 | + | 0.0148951i | −0.00299266 | + | 0.00108924i | ||||
\(188\) | 0.443727 | 0.0323621 | ||||||||
\(189\) | 4.92290 | + | 1.66286i | 0.358088 | + | 0.120955i | ||||
\(190\) | −1.53751 | −0.111543 | ||||||||
\(191\) | 6.63560 | − | 2.41516i | 0.480135 | − | 0.174755i | −0.0906027 | − | 0.995887i | \(-0.528879\pi\) |
0.570738 | + | 0.821132i | \(0.306657\pi\) | |||||||
\(192\) | −0.673648 | + | 1.59568i | −0.0486164 | + | 0.115158i | ||||
\(193\) | −9.10006 | + | 7.63586i | −0.655037 | + | 0.549641i | −0.908595 | − | 0.417679i | \(-0.862844\pi\) |
0.253558 | + | 0.967320i | \(0.418399\pi\) | |||||||
\(194\) | −2.64647 | − | 15.0089i | −0.190006 | − | 1.07758i | ||||
\(195\) | 4.10437 | − | 2.10140i | 0.293920 | − | 0.150484i | ||||
\(196\) | 0.766044 | + | 0.642788i | 0.0547175 | + | 0.0459134i | ||||
\(197\) | 12.5895 | − | 21.8056i | 0.896964 | − | 1.55359i | 0.0656101 | − | 0.997845i | \(-0.479101\pi\) |
0.831354 | − | 0.555743i | \(-0.187566\pi\) | |||||||
\(198\) | 0.746666 | + | 0.0755275i | 0.0530633 | + | 0.00536751i | ||||
\(199\) | 3.85284 | + | 6.67331i | 0.273121 | + | 0.473059i | 0.969659 | − | 0.244461i | \(-0.0786109\pi\) |
−0.696539 | + | 0.717519i | \(0.745278\pi\) | |||||||
\(200\) | −0.799976 | + | 4.53689i | −0.0565669 | + | 0.320807i | ||||
\(201\) | 1.70253 | + | 5.53005i | 0.120088 | + | 0.390060i | ||||
\(202\) | −2.31963 | − | 0.844275i | −0.163208 | − | 0.0594030i | ||||
\(203\) | 0.635836 | + | 0.231425i | 0.0446269 | + | 0.0162429i | ||||
\(204\) | −0.0887236 | − | 0.288186i | −0.00621190 | − | 0.0201770i | ||||
\(205\) | −1.31818 | + | 7.47579i | −0.0920659 | + | 0.522131i | ||||
\(206\) | 5.44887 | + | 9.43772i | 0.379641 | + | 0.657557i | ||||
\(207\) | 0.0611147 | + | 0.135834i | 0.00424777 | + | 0.00944113i | ||||
\(208\) | 2.12298 | − | 3.67711i | 0.147202 | − | 0.254962i | ||||
\(209\) | 0.469921 | + | 0.394310i | 0.0325051 | + | 0.0272750i | ||||
\(210\) | −0.966652 | + | 0.494917i | −0.0667054 | + | 0.0341525i | ||||
\(211\) | −4.37530 | − | 24.8135i | −0.301208 | − | 1.70823i | −0.640839 | − | 0.767675i | \(-0.721413\pi\) |
0.339631 | − | 0.940559i | \(-0.389698\pi\) | |||||||
\(212\) | −9.26624 | + | 7.77530i | −0.636408 | + | 0.534009i | ||||
\(213\) | −2.88977 | + | 6.84505i | −0.198004 | + | 0.469015i | ||||
\(214\) | 15.4544 | − | 5.62493i | 1.05644 | − | 0.384512i | ||||
\(215\) | 0.857955 | 0.0585121 | ||||||||
\(216\) | −0.782746 | + | 5.13686i | −0.0532591 | + | 0.349519i | ||||
\(217\) | 7.48646 | 0.508214 | ||||||||
\(218\) | 13.3996 | − | 4.87706i | 0.907537 | − | 0.330317i | ||||
\(219\) | 16.9580 | − | 2.11584i | 1.14592 | − | 0.142975i | ||||
\(220\) | −0.120152 | + | 0.100820i | −0.00810067 | + | 0.00679727i | ||||
\(221\) | 0.128358 | + | 0.727954i | 0.00863428 | + | 0.0489675i | ||||
\(222\) | −0.453648 | + | 8.99243i | −0.0304469 | + | 0.603532i | ||||
\(223\) | −17.6697 | − | 14.8267i | −1.18325 | − | 0.992866i | −0.999952 | − | 0.00980949i | \(-0.996877\pi\) |
−0.183300 | − | 0.983057i | \(-0.558678\pi\) | |||||||
\(224\) | −0.500000 | + | 0.866025i | −0.0334077 | + | 0.0578638i | ||||
\(225\) | 1.01797 | + | 13.7831i | 0.0678649 | + | 0.918873i | ||||
\(226\) | −2.46542 | − | 4.27023i | −0.163997 | − | 0.284052i | ||||
\(227\) | 0.0444521 | − | 0.252100i | 0.00295039 | − | 0.0167325i | −0.983297 | − | 0.182008i | \(-0.941740\pi\) |
0.986247 | + | 0.165276i | \(0.0528514\pi\) | |||||||
\(228\) | −2.89059 | + | 3.11195i | −0.191434 | + | 0.206094i | ||||
\(229\) | −17.3377 | − | 6.31041i | −1.14571 | − | 0.417004i | −0.301737 | − | 0.953391i | \(-0.597566\pi\) |
−0.843972 | + | 0.536388i | \(0.819789\pi\) | |||||||
\(230\) | −0.0292527 | − | 0.0106471i | −0.00192886 | − | 0.000702049i | ||||
\(231\) | 0.422372 | + | 0.0966431i | 0.0277901 | + | 0.00635865i | ||||
\(232\) | −0.117498 | + | 0.666363i | −0.00771410 | + | 0.0437489i | ||||
\(233\) | −11.7883 | − | 20.4179i | −0.772275 | − | 1.33762i | −0.936314 | − | 0.351165i | \(-0.885786\pi\) |
0.164039 | − | 0.986454i | \(-0.447548\pi\) | |||||||
\(234\) | 3.46314 | − | 12.2581i | 0.226392 | − | 0.801335i | ||||
\(235\) | −0.139107 | + | 0.240940i | −0.00907432 | + | 0.0157172i | ||||
\(236\) | 3.73830 | + | 3.13680i | 0.243342 | + | 0.204189i | ||||
\(237\) | −7.92740 | − | 5.12611i | −0.514940 | − | 0.332977i | ||||
\(238\) | −0.0302306 | − | 0.171446i | −0.00195956 | − | 0.0111132i | ||||
\(239\) | −7.11168 | + | 5.96740i | −0.460016 | + | 0.385999i | −0.843137 | − | 0.537699i | \(-0.819294\pi\) |
0.383121 | + | 0.923698i | \(0.374849\pi\) | |||||||
\(240\) | −0.655255 | − | 0.866025i | −0.0422965 | − | 0.0559017i | ||||
\(241\) | 14.8989 | − | 5.42276i | 0.959723 | − | 0.349311i | 0.185798 | − | 0.982588i | \(-0.440513\pi\) |
0.773925 | + | 0.633277i | \(0.218291\pi\) | |||||||
\(242\) | −10.9374 | −0.703084 | ||||||||
\(243\) | 1.51034 | + | 15.5151i | 0.0968884 | + | 0.995295i | ||||
\(244\) | −2.78514 | −0.178300 | ||||||||
\(245\) | −0.589180 | + | 0.214444i | −0.0376414 | + | 0.0137003i | ||||
\(246\) | 12.6529 | + | 16.7229i | 0.806721 | + | 1.06621i | ||||
\(247\) | 7.97600 | − | 6.69265i | 0.507500 | − | 0.425843i | ||||
\(248\) | 1.30001 | + | 7.37273i | 0.0825508 | + | 0.468169i | ||||
\(249\) | −9.00178 | − | 5.82084i | −0.570465 | − | 0.368881i | ||||
\(250\) | −4.61423 | − | 3.87179i | −0.291829 | − | 0.244874i | ||||
\(251\) | 4.96806 | − | 8.60493i | 0.313581 | − | 0.543139i | −0.665554 | − | 0.746350i | \(-0.731805\pi\) |
0.979135 | + | 0.203211i | \(0.0651379\pi\) | |||||||
\(252\) | −0.815631 | + | 2.88700i | −0.0513799 | + | 0.181864i | ||||
\(253\) | 0.00621017 | + | 0.0107563i | 0.000390430 | + | 0.000676245i | ||||
\(254\) | 3.18549 | − | 18.0658i | 0.199876 | − | 1.13355i | ||||
\(255\) | 0.184297 | + | 0.0421690i | 0.0115411 | + | 0.00264073i | ||||
\(256\) | −0.939693 | − | 0.342020i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 14.3247 | + | 5.21378i | 0.893553 | + | 0.325227i | 0.747666 | − | 0.664075i | \(-0.231174\pi\) |
0.145887 | + | 0.989301i | \(0.453396\pi\) | |||||||
\(258\) | 1.61300 | − | 1.73652i | 0.100421 | − | 0.108111i | ||||
\(259\) | −0.902689 | + | 5.11941i | −0.0560904 | + | 0.318104i | ||||
\(260\) | 1.33109 | + | 2.30552i | 0.0825509 | + | 0.142982i | ||||
\(261\) | 0.149516 | + | 2.02441i | 0.00925484 | + | 0.125308i | ||||
\(262\) | −10.6705 | + | 18.4818i | −0.659225 | + | 1.14181i | ||||
\(263\) | 8.20749 | + | 6.88690i | 0.506096 | + | 0.424665i | 0.859753 | − | 0.510711i | \(-0.170618\pi\) |
−0.353657 | + | 0.935375i | \(0.615062\pi\) | |||||||
\(264\) | −0.0218307 | + | 0.432738i | −0.00134358 | + | 0.0266332i | ||||
\(265\) | −1.31699 | − | 7.46901i | −0.0809020 | − | 0.458818i | ||||
\(266\) | −1.87849 | + | 1.57624i | −0.115178 | + | 0.0966455i | ||||
\(267\) | −12.1514 | + | 1.51612i | −0.743655 | + | 0.0927853i | ||||
\(268\) | −3.13920 | + | 1.14257i | −0.191757 | + | 0.0697938i | ||||
\(269\) | −13.9193 | −0.848677 | −0.424339 | − | 0.905504i | \(-0.639493\pi\) | ||||
−0.424339 | + | 0.905504i | \(0.639493\pi\) | |||||||
\(270\) | −2.54388 | − | 2.03541i | −0.154816 | − | 0.123871i | ||||
\(271\) | −4.99999 | −0.303728 | −0.151864 | − | 0.988401i | \(-0.548528\pi\) | ||||
−0.151864 | + | 0.988401i | \(0.548528\pi\) | |||||||
\(272\) | 0.163592 | − | 0.0595426i | 0.00991922 | − | 0.00361030i | ||||
\(273\) | 2.86028 | − | 6.77520i | 0.173112 | − | 0.410054i | ||||
\(274\) | 4.25367 | − | 3.56926i | 0.256974 | − | 0.215627i | ||||
\(275\) | 0.200121 | + | 1.13494i | 0.0120678 | + | 0.0684397i | ||||
\(276\) | −0.0765465 | + | 0.0391911i | −0.00460756 | + | 0.00235902i | ||||
\(277\) | 6.45026 | + | 5.41241i | 0.387558 | + | 0.325200i | 0.815661 | − | 0.578530i | \(-0.196373\pi\) |
−0.428103 | + | 0.903730i | \(0.640818\pi\) | |||||||
\(278\) | 0.442730 | − | 0.766830i | 0.0265532 | − | 0.0459914i | ||||
\(279\) | 9.21520 | + | 20.4818i | 0.551700 | + | 1.22621i | ||||
\(280\) | −0.313496 | − | 0.542992i | −0.0187350 | − | 0.0324500i | ||||
\(281\) | 4.06049 | − | 23.0282i | 0.242229 | − | 1.37375i | −0.584613 | − | 0.811312i | \(-0.698754\pi\) |
0.826842 | − | 0.562435i | \(-0.190135\pi\) | |||||||
\(282\) | 0.226141 | + | 0.734534i | 0.0134665 | + | 0.0437409i | ||||
\(283\) | −15.3148 | − | 5.57412i | −0.910369 | − | 0.331347i | −0.155969 | − | 0.987762i | \(-0.549850\pi\) |
−0.754400 | + | 0.656415i | \(0.772072\pi\) | |||||||
\(284\) | −4.03103 | − | 1.46718i | −0.239198 | − | 0.0870609i | ||||
\(285\) | −0.783575 | − | 2.54515i | −0.0464150 | − | 0.150762i | ||||
\(286\) | 0.184443 | − | 1.04603i | 0.0109063 | − | 0.0618529i | ||||
\(287\) | 6.05359 | + | 10.4851i | 0.357332 | + | 0.618917i | ||||
\(288\) | −2.98477 | − | 0.301918i | −0.175879 | − | 0.0177907i | ||||
\(289\) | 8.48485 | − | 14.6962i | 0.499109 | − | 0.864481i | ||||
\(290\) | −0.324994 | − | 0.272703i | −0.0190843 | − | 0.0160136i | ||||
\(291\) | 23.4966 | − | 12.0300i | 1.37739 | − | 0.705213i | ||||
\(292\) | 1.71332 | + | 9.71673i | 0.100265 | + | 0.568629i | ||||
\(293\) | 11.5162 | − | 9.66323i | 0.672783 | − | 0.564532i | −0.241104 | − | 0.970499i | \(-0.577510\pi\) |
0.913888 | + | 0.405967i | \(0.133065\pi\) | |||||||
\(294\) | −0.673648 | + | 1.59568i | −0.0392880 | + | 0.0930620i | ||||
\(295\) | −2.87520 | + | 1.04649i | −0.167401 | + | 0.0609289i | ||||
\(296\) | −5.19838 | −0.302150 | ||||||||
\(297\) | 0.255504 | + | 1.27450i | 0.0148259 | + | 0.0739543i | ||||
\(298\) | −5.31934 | −0.308141 | ||||||||
\(299\) | 0.198098 | − | 0.0721016i | 0.0114563 | − | 0.00416975i | ||||
\(300\) | −7.91796 | + | 0.987918i | −0.457144 | + | 0.0570375i | ||||
\(301\) | 1.04823 | − | 0.879569i | 0.0604189 | − | 0.0506975i | ||||
\(302\) | −1.61648 | − | 9.16750i | −0.0930178 | − | 0.527530i | ||||
\(303\) | 0.215418 | − | 4.27013i | 0.0123755 | − | 0.245312i | ||||
\(304\) | −1.87849 | − | 1.57624i | −0.107739 | − | 0.0904036i | ||||
\(305\) | 0.873130 | − | 1.51230i | 0.0499953 | − | 0.0865943i | ||||
\(306\) | 0.431839 | − | 0.293742i | 0.0246866 | − | 0.0167921i | ||||
\(307\) | −7.53035 | − | 13.0429i | −0.429780 | − | 0.744400i | 0.567074 | − | 0.823667i | \(-0.308075\pi\) |
−0.996853 | + | 0.0792666i | \(0.974742\pi\) | |||||||
\(308\) | −0.0434396 | + | 0.246358i | −0.00247520 | + | 0.0140376i | ||||
\(309\) | −12.8460 | + | 13.8298i | −0.730784 | + | 0.786748i | ||||
\(310\) | −4.41088 | − | 1.60543i | −0.250521 | − | 0.0911822i | ||||
\(311\) | −29.3274 | − | 10.6743i | −1.66300 | − | 0.605284i | −0.672173 | − | 0.740394i | \(-0.734639\pi\) |
−0.990831 | + | 0.135110i | \(0.956861\pi\) | |||||||
\(312\) | 7.16895 | + | 1.64033i | 0.405862 | + | 0.0928653i | ||||
\(313\) | −3.06803 | + | 17.3997i | −0.173416 | + | 0.983489i | 0.766541 | + | 0.642195i | \(0.221976\pi\) |
−0.939957 | + | 0.341293i | \(0.889135\pi\) | |||||||
\(314\) | 3.54677 | + | 6.14318i | 0.200156 | + | 0.346680i | ||||
\(315\) | −1.31192 | − | 1.34794i | −0.0739182 | − | 0.0759480i | ||||
\(316\) | 2.72520 | − | 4.72019i | 0.153305 | − | 0.265531i | ||||
\(317\) | −17.8698 | − | 14.9945i | −1.00367 | − | 0.842177i | −0.0161786 | − | 0.999869i | \(-0.505150\pi\) |
−0.987488 | + | 0.157693i | \(0.949594\pi\) | |||||||
\(318\) | −17.5935 | − | 11.3765i | −0.986593 | − | 0.637962i | ||||
\(319\) | 0.0293931 | + | 0.166697i | 0.00164570 | + | 0.00933321i | ||||
\(320\) | 0.480304 | − | 0.403023i | 0.0268498 | − | 0.0225297i | ||||
\(321\) | 17.1875 | + | 22.7161i | 0.959314 | + | 1.26789i | ||||
\(322\) | −0.0466555 | + | 0.0169812i | −0.00260001 | + | 0.000946327i | ||||
\(323\) | 0.426905 | 0.0237536 | ||||||||
\(324\) | −8.90235 | + | 1.32221i | −0.494575 | + | 0.0734560i | ||||
\(325\) | 19.5606 | 1.08503 | ||||||||
\(326\) | −0.0620160 | + | 0.0225720i | −0.00343475 | + | 0.00125015i | ||||
\(327\) | 14.9024 | + | 19.6959i | 0.824102 | + | 1.08918i | ||||
\(328\) | −9.27464 | + | 7.78234i | −0.512106 | + | 0.429708i | ||||
\(329\) | 0.0770523 | + | 0.436986i | 0.00424803 | + | 0.0240918i | ||||
\(330\) | −0.228129 | − | 0.147515i | −0.0125581 | − | 0.00812046i | ||||
\(331\) | −10.2229 | − | 8.57801i | −0.561900 | − | 0.471490i | 0.317047 | − | 0.948410i | \(-0.397309\pi\) |
−0.878947 | + | 0.476920i | \(0.841753\pi\) | |||||||
\(332\) | 3.09454 | − | 5.35990i | 0.169835 | − | 0.294163i | ||||
\(333\) | −15.1170 | + | 3.83194i | −0.828408 | + | 0.209989i | ||||
\(334\) | −7.87007 | − | 13.6314i | −0.430631 | − | 0.745875i | ||||
\(335\) | 0.363718 | − | 2.06275i | 0.0198721 | − | 0.112700i | ||||
\(336\) | −1.68842 | − | 0.386327i | −0.0921107 | − | 0.0210759i | ||||
\(337\) | −24.2530 | − | 8.82736i | −1.32114 | − | 0.480857i | −0.417319 | − | 0.908760i | \(-0.637030\pi\) |
−0.903825 | + | 0.427903i | \(0.859253\pi\) | |||||||
\(338\) | −4.72495 | − | 1.71974i | −0.257003 | − | 0.0935415i | ||||
\(339\) | 5.81236 | − | 6.25747i | 0.315684 | − | 0.339859i | ||||
\(340\) | −0.0189543 | + | 0.107495i | −0.00102794 | + | 0.00582976i | ||||
\(341\) | 0.936403 | + | 1.62190i | 0.0507090 | + | 0.0878306i | ||||
\(342\) | −6.62461 | − | 3.19904i | −0.358218 | − | 0.172984i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | 1.04823 | + | 0.879569i | 0.0565167 | + | 0.0474232i | ||||
\(345\) | 0.00271663 | − | 0.0538504i | 0.000146259 | − | 0.00289921i | ||||
\(346\) | 2.41378 | + | 13.6892i | 0.129766 | + | 0.735939i | ||||
\(347\) | 1.46706 | − | 1.23101i | 0.0787557 | − | 0.0660839i | −0.602560 | − | 0.798074i | \(-0.705853\pi\) |
0.681316 | + | 0.731990i | \(0.261408\pi\) | |||||||
\(348\) | −1.16296 | + | 0.145102i | −0.0623413 | + | 0.00777828i | ||||
\(349\) | −18.8097 | + | 6.84616i | −1.00686 | + | 0.366466i | −0.792226 | − | 0.610228i | \(-0.791078\pi\) |
−0.214633 | + | 0.976695i | \(0.568855\pi\) | |||||||
\(350\) | −4.60688 | −0.246248 | ||||||||
\(351\) | 22.0567 | − | 0.514405i | 1.17730 | − | 0.0274569i | ||||
\(352\) | −0.250159 | −0.0133335 | ||||||||
\(353\) | −16.6145 | + | 6.04720i | −0.884303 | + | 0.321860i | −0.743945 | − | 0.668241i | \(-0.767048\pi\) |
−0.140358 | + | 0.990101i | \(0.544825\pi\) | |||||||
\(354\) | −3.28740 | + | 7.78692i | −0.174724 | + | 0.413870i | ||||
\(355\) | 2.06038 | − | 1.72886i | 0.109354 | − | 0.0917585i | ||||
\(356\) | −1.22770 | − | 6.96261i | −0.0650678 | − | 0.369018i | ||||
\(357\) | 0.268401 | − | 0.137419i | 0.0142053 | − | 0.00727297i | ||||
\(358\) | 4.55879 | + | 3.82528i | 0.240939 | + | 0.202172i | ||||
\(359\) | −15.1563 | + | 26.2515i | −0.799918 | + | 1.38550i | 0.119750 | + | 0.992804i | \(0.461791\pi\) |
−0.919669 | + | 0.392695i | \(0.871543\pi\) | |||||||
\(360\) | 1.09965 | − | 1.52605i | 0.0579568 | − | 0.0804301i | ||||
\(361\) | 6.49337 | + | 11.2468i | 0.341756 | + | 0.591939i | ||||
\(362\) | 2.51270 | − | 14.2502i | 0.132065 | − | 0.748975i | ||||
\(363\) | −5.57414 | − | 18.1055i | −0.292567 | − | 0.950294i | ||||
\(364\) | 3.98990 | + | 1.45220i | 0.209127 | + | 0.0761162i | ||||
\(365\) | −5.81322 | − | 2.11584i | −0.304278 | − | 0.110748i | ||||
\(366\) | −1.41942 | − | 4.61044i | −0.0741940 | − | 0.240992i | ||||
\(367\) | −1.70454 | + | 9.66691i | −0.0889761 | + | 0.504609i | 0.907451 | + | 0.420157i | \(0.138025\pi\) |
−0.996428 | + | 0.0844517i | \(0.973086\pi\) | |||||||
\(368\) | −0.0248249 | − | 0.0429980i | −0.00129409 | − | 0.00224143i | ||||
\(369\) | −21.2342 | + | 29.4680i | −1.10541 | + | 1.53404i | ||||
\(370\) | 1.62967 | − | 2.82268i | 0.0847227 | − | 0.146744i | ||||
\(371\) | −9.26624 | − | 7.77530i | −0.481079 | − | 0.403673i | ||||
\(372\) | −11.5421 | + | 5.90944i | −0.598430 | + | 0.306390i | ||||
\(373\) | 2.83376 | + | 16.0710i | 0.146726 | + | 0.832126i | 0.965965 | + | 0.258673i | \(0.0832853\pi\) |
−0.819239 | + | 0.573453i | \(0.805604\pi\) | |||||||
\(374\) | 0.0333615 | − | 0.0279937i | 0.00172508 | − | 0.00144752i | ||||
\(375\) | 4.05768 | − | 9.61149i | 0.209538 | − | 0.496335i | ||||
\(376\) | −0.416967 | + | 0.151763i | −0.0215034 | + | 0.00782660i | ||||
\(377\) | 2.87300 | 0.147967 | ||||||||
\(378\) | −5.19474 | + | 0.121152i | −0.267189 | + | 0.00623137i | ||||
\(379\) | −28.4011 | −1.45887 | −0.729433 | − | 0.684052i | \(-0.760216\pi\) | ||||
−0.729433 | + | 0.684052i | \(0.760216\pi\) | |||||||
\(380\) | 1.44478 | − | 0.525859i | 0.0741159 | − | 0.0269760i | ||||
\(381\) | 31.5292 | − | 3.93387i | 1.61529 | − | 0.201539i | ||||
\(382\) | −5.40939 | + | 4.53902i | −0.276769 | + | 0.232236i | ||||
\(383\) | 1.84496 | + | 10.4633i | 0.0942731 | + | 0.534649i | 0.994968 | + | 0.100196i | \(0.0319471\pi\) |
−0.900695 | + | 0.434453i | \(0.856942\pi\) | |||||||
\(384\) | 0.0872671 | − | 1.72985i | 0.00445333 | − | 0.0882761i | ||||
\(385\) | −0.120152 | − | 0.100820i | −0.00612353 | − | 0.00513825i | ||||
\(386\) | 5.93964 | − | 10.2878i | 0.302320 | − | 0.523633i | ||||
\(387\) | 3.69664 | + | 1.78512i | 0.187911 | + | 0.0907426i | ||||
\(388\) | 7.62021 | + | 13.1986i | 0.386858 | + | 0.670057i | ||||
\(389\) | −6.23887 | + | 35.3824i | −0.316323 | + | 1.79396i | 0.248379 | + | 0.968663i | \(0.420102\pi\) |
−0.564702 | + | 0.825295i | \(0.691009\pi\) | |||||||
\(390\) | −3.13812 | + | 3.37844i | −0.158905 | + | 0.171074i | ||||
\(391\) | 0.00812231 | + | 0.00295628i | 0.000410763 | + | 0.000149505i | ||||
\(392\) | −0.939693 | − | 0.342020i | −0.0474616 | − | 0.0172746i | ||||
\(393\) | −36.0325 | − | 8.24460i | −1.81760 | − | 0.415885i | ||||
\(394\) | −4.37229 | + | 24.7965i | −0.220273 | + | 1.24923i | ||||
\(395\) | 1.70868 | + | 2.95952i | 0.0859731 | + | 0.148910i | ||||
\(396\) | −0.727469 | + | 0.184402i | −0.0365567 | + | 0.00926656i | ||||
\(397\) | 12.5480 | − | 21.7337i | 0.629765 | − | 1.09078i | −0.357834 | − | 0.933785i | \(-0.616485\pi\) |
0.987599 | − | 0.157000i | \(-0.0501821\pi\) | |||||||
\(398\) | −5.90289 | − | 4.95312i | −0.295885 | − | 0.248277i | ||||
\(399\) | −3.56662 | − | 2.30629i | −0.178554 | − | 0.115459i | ||||
\(400\) | −0.799976 | − | 4.53689i | −0.0399988 | − | 0.226845i | ||||
\(401\) | 13.4481 | − | 11.2843i | 0.671565 | − | 0.563510i | −0.241963 | − | 0.970285i | \(-0.577791\pi\) |
0.913528 | + | 0.406775i | \(0.133347\pi\) | |||||||
\(402\) | −3.49125 | − | 4.61425i | −0.174128 | − | 0.230138i | ||||
\(403\) | 29.8702 | − | 10.8719i | 1.48794 | − | 0.541567i | ||||
\(404\) | 2.46849 | 0.122812 | ||||||||
\(405\) | 2.07291 | − | 5.24841i | 0.103003 | − | 0.260795i | ||||
\(406\) | −0.676642 | −0.0335812 | ||||||||
\(407\) | −1.22200 | + | 0.444770i | −0.0605721 | + | 0.0220464i | ||||
\(408\) | 0.181938 | + | 0.240461i | 0.00900729 | + | 0.0119046i | ||||
\(409\) | 25.1441 | − | 21.0984i | 1.24329 | − | 1.04325i | 0.246034 | − | 0.969261i | \(-0.420872\pi\) |
0.997259 | − | 0.0739858i | \(-0.0235720\pi\) | |||||||
\(410\) | −1.31818 | − | 7.47579i | −0.0651004 | − | 0.369203i | ||||
\(411\) | 8.07630 | + | 5.22239i | 0.398375 | + | 0.257602i | ||||
\(412\) | −8.34815 | − | 7.00493i | −0.411284 | − | 0.345108i | ||||
\(413\) | −2.44000 | + | 4.22620i | −0.120065 | + | 0.207958i | ||||
\(414\) | −0.103887 | − | 0.106740i | −0.00510577 | − | 0.00524598i | ||||
\(415\) | 1.94025 | + | 3.36062i | 0.0952433 | + | 0.164966i | ||||
\(416\) | −0.737303 | + | 4.18146i | −0.0361493 | + | 0.205013i | ||||
\(417\) | 1.49502 | + | 0.342077i | 0.0732116 | + | 0.0167516i | ||||
\(418\) | −0.576443 | − | 0.209808i | −0.0281948 | − | 0.0102621i | ||||
\(419\) | −9.93869 | − | 3.61739i | −0.485537 | − | 0.176721i | 0.0876406 | − | 0.996152i | \(-0.472067\pi\) |
−0.573178 | + | 0.819431i | \(0.694290\pi\) | |||||||
\(420\) | 0.739085 | − | 0.795684i | 0.0360636 | − | 0.0388254i | ||||
\(421\) | −2.89699 | + | 16.4297i | −0.141191 | + | 0.800733i | 0.829156 | + | 0.559017i | \(0.188821\pi\) |
−0.970347 | + | 0.241716i | \(0.922290\pi\) | |||||||
\(422\) | 12.5982 | + | 21.8207i | 0.613269 | + | 1.06221i | ||||
\(423\) | −1.10068 | + | 0.748696i | −0.0535169 | + | 0.0364028i | ||||
\(424\) | 6.04811 | − | 10.4756i | 0.293722 | − | 0.508741i | ||||
\(425\) | 0.614380 | + | 0.515526i | 0.0298018 | + | 0.0250067i | ||||
\(426\) | 0.374353 | − | 7.42061i | 0.0181375 | − | 0.359530i | ||||
\(427\) | −0.483634 | − | 2.74282i | −0.0234047 | − | 0.132734i | ||||
\(428\) | −12.5985 | + | 10.5714i | −0.608972 | + | 0.510988i | ||||
\(429\) | 1.82557 | − | 0.227775i | 0.0881393 | − | 0.0109971i | ||||
\(430\) | −0.806214 | + | 0.293438i | −0.0388791 | + | 0.0141508i | ||||
\(431\) | 15.4219 | 0.742847 | 0.371423 | − | 0.928464i | \(-0.378870\pi\) | ||||
0.371423 | + | 0.928464i | \(0.378870\pi\) | |||||||
\(432\) | −1.02137 | − | 5.09478i | −0.0491406 | − | 0.245123i | ||||
\(433\) | 40.5518 | 1.94879 | 0.974396 | − | 0.224837i | \(-0.0721850\pi\) | ||||
0.974396 | + | 0.224837i | \(0.0721850\pi\) | |||||||
\(434\) | −7.03497 | + | 2.56052i | −0.337690 | + | 0.122909i | ||||
\(435\) | 0.285795 | − | 0.676967i | 0.0137028 | − | 0.0324581i | ||||
\(436\) | −10.9235 | + | 9.16588i | −0.523140 | + | 0.438966i | ||||
\(437\) | −0.0211418 | − | 0.119901i | −0.00101135 | − | 0.00573566i | ||||
\(438\) | −15.2117 | + | 7.78822i | −0.726841 | + | 0.372136i | ||||
\(439\) | −26.3958 | − | 22.1487i | −1.25980 | − | 1.05710i | −0.995703 | − | 0.0926032i | \(-0.970481\pi\) |
−0.264098 | − | 0.964496i | \(-0.585074\pi\) | |||||||
\(440\) | 0.0784239 | − | 0.135834i | 0.00373871 | − | 0.00647564i | ||||
\(441\) | −2.98477 | − | 0.301918i | −0.142132 | − | 0.0143771i | ||||
\(442\) | −0.369592 | − | 0.640152i | −0.0175797 | − | 0.0304489i | ||||
\(443\) | −4.22885 | + | 23.9830i | −0.200919 | + | 1.13947i | 0.702815 | + | 0.711372i | \(0.251926\pi\) |
−0.903734 | + | 0.428094i | \(0.859185\pi\) | |||||||
\(444\) | −2.64930 | − | 8.60527i | −0.125730 | − | 0.408388i | ||||
\(445\) | 4.16552 | + | 1.51612i | 0.197464 | + | 0.0718712i | ||||
\(446\) | 21.6751 | + | 7.88910i | 1.02635 | + | 0.373560i | ||||
\(447\) | −2.71095 | − | 8.80550i | −0.128223 | − | 0.416486i | ||||
\(448\) | 0.173648 | − | 0.984808i | 0.00820411 | − | 0.0465278i | ||||
\(449\) | −5.10430 | − | 8.84090i | −0.240887 | − | 0.417228i | 0.720080 | − | 0.693891i | \(-0.244105\pi\) |
−0.960967 | + | 0.276663i | \(0.910772\pi\) | |||||||
\(450\) | −5.67068 | − | 12.6037i | −0.267318 | − | 0.594145i | ||||
\(451\) | −1.51436 | + | 2.62295i | −0.0713084 | + | 0.123510i | ||||
\(452\) | 3.77724 | + | 3.16948i | 0.177667 | + | 0.149080i | ||||
\(453\) | 14.3518 | − | 7.34799i | 0.674308 | − | 0.345239i | ||||
\(454\) | 0.0444521 | + | 0.252100i | 0.00208624 | + | 0.0118317i | ||||
\(455\) | −2.03935 | + | 1.71122i | −0.0956063 | + | 0.0802232i | ||||
\(456\) | 1.65192 | − | 3.91292i | 0.0773581 | − | 0.183239i | ||||
\(457\) | 13.5197 | − | 4.92076i | 0.632423 | − | 0.230183i | −0.00586237 | − | 0.999983i | \(-0.501866\pi\) |
0.638286 | + | 0.769800i | \(0.279644\pi\) | |||||||
\(458\) | 18.4504 | 0.862131 | ||||||||
\(459\) | 0.706335 | + | 0.565153i | 0.0329689 | + | 0.0263791i | ||||
\(460\) | 0.0311301 | 0.00145145 | ||||||||
\(461\) | 6.22607 | − | 2.26611i | 0.289977 | − | 0.105543i | −0.192936 | − | 0.981211i | \(-0.561801\pi\) |
0.482913 | + | 0.875668i | \(0.339579\pi\) | |||||||
\(462\) | −0.429954 | + | 0.0536451i | −0.0200033 | + | 0.00249580i | ||||
\(463\) | 2.90393 | − | 2.43669i | 0.134957 | − | 0.113242i | −0.572810 | − | 0.819688i | \(-0.694147\pi\) |
0.707767 | + | 0.706445i | \(0.249702\pi\) | |||||||
\(464\) | −0.117498 | − | 0.666363i | −0.00545469 | − | 0.0309351i | ||||
\(465\) | 0.409628 | − | 8.11985i | 0.0189961 | − | 0.376549i | ||||
\(466\) | 18.0607 | + | 15.1547i | 0.836644 | + | 0.702028i | ||||
\(467\) | −6.74689 | + | 11.6860i | −0.312209 | + | 0.540761i | −0.978840 | − | 0.204626i | \(-0.934402\pi\) |
0.666632 | + | 0.745387i | \(0.267735\pi\) | |||||||
\(468\) | 0.938222 | + | 12.7033i | 0.0433693 | + | 0.587209i | ||||
\(469\) | −1.67033 | − | 2.89310i | −0.0771287 | − | 0.133591i | ||||
\(470\) | 0.0483113 | − | 0.273987i | 0.00222843 | − | 0.0126381i | ||||
\(471\) | −8.36170 | + | 9.00204i | −0.385287 | + | 0.414792i | ||||
\(472\) | −4.58570 | − | 1.66906i | −0.211074 | − | 0.0768246i | ||||
\(473\) | 0.321665 | + | 0.117077i | 0.0147902 | + | 0.00538318i | ||||
\(474\) | 9.20255 | + | 2.10564i | 0.422687 | + | 0.0967151i | ||||
\(475\) | 1.96170 | − | 11.1253i | 0.0900089 | − | 0.510466i | ||||
\(476\) | 0.0870455 | + | 0.150767i | 0.00398972 | + | 0.00691040i | ||||
\(477\) | 9.86605 | − | 34.9217i | 0.451735 | − | 1.59896i | ||||
\(478\) | 4.64182 | − | 8.03986i | 0.212312 | − | 0.367735i | ||||
\(479\) | −10.5269 | − | 8.83309i | −0.480985 | − | 0.403594i | 0.369797 | − | 0.929112i | \(-0.379427\pi\) |
−0.850782 | + | 0.525518i | \(0.823872\pi\) | |||||||
\(480\) | 0.911937 | + | 0.589687i | 0.0416240 | + | 0.0269154i | ||||
\(481\) | 3.83278 | + | 21.7368i | 0.174760 | + | 0.991113i | ||||
\(482\) | −12.1457 | + | 10.1915i | −0.553222 | + | 0.464208i | ||||
\(483\) | −0.0518878 | − | 0.0685781i | −0.00236098 | − | 0.00312041i | ||||
\(484\) | 10.2778 | − | 3.74082i | 0.467173 | − | 0.170037i | ||||
\(485\) | −9.55563 | −0.433899 | ||||||||
\(486\) | −6.72574 | − | 14.0629i | −0.305086 | − | 0.637905i | ||||
\(487\) | 23.4159 | 1.06108 | 0.530538 | − | 0.847661i | \(-0.321990\pi\) | ||||
0.530538 | + | 0.847661i | \(0.321990\pi\) | |||||||
\(488\) | 2.61717 | − | 0.952572i | 0.118474 | − | 0.0431209i | ||||
\(489\) | −0.0689709 | − | 0.0911562i | −0.00311897 | − | 0.00412222i | ||||
\(490\) | 0.480304 | − | 0.403023i | 0.0216979 | − | 0.0182067i | ||||
\(491\) | 1.49114 | + | 8.45670i | 0.0672944 | + | 0.381646i | 0.999791 | + | 0.0204657i | \(0.00651489\pi\) |
−0.932496 | + | 0.361180i | \(0.882374\pi\) | |||||||
\(492\) | −17.6094 | − | 11.3868i | −0.793894 | − | 0.513357i | ||||
\(493\) | 0.0902380 | + | 0.0757187i | 0.00406411 | + | 0.00341020i | ||||
\(494\) | −5.20596 | + | 9.01699i | −0.234227 | + | 0.405694i | ||||
\(495\) | 0.127930 | − | 0.452819i | 0.00575002 | − | 0.0203527i | ||||
\(496\) | −3.74323 | − | 6.48347i | −0.168076 | − | 0.291116i | ||||
\(497\) | 0.744905 | − | 4.22457i | 0.0334136 | − | 0.189498i | ||||
\(498\) | 10.4497 | + | 2.39101i | 0.468264 | + | 0.107144i | ||||
\(499\) | 31.0769 | + | 11.3111i | 1.39119 | + | 0.506353i | 0.925552 | − | 0.378621i | \(-0.123601\pi\) |
0.465641 | + | 0.884974i | \(0.345824\pi\) | |||||||
\(500\) | 5.66019 | + | 2.06014i | 0.253131 | + | 0.0921322i | ||||
\(501\) | 18.5541 | − | 19.9750i | 0.828937 | − | 0.892417i | ||||
\(502\) | −1.72539 | + | 9.78517i | −0.0770079 | + | 0.436734i | ||||
\(503\) | 15.8634 | + | 27.4762i | 0.707314 | + | 1.22510i | 0.965850 | + | 0.259102i | \(0.0834265\pi\) |
−0.258536 | + | 0.966002i | \(0.583240\pi\) | |||||||
\(504\) | −0.220968 | − | 2.99185i | −0.00984270 | − | 0.133268i | ||||
\(505\) | −0.773864 | + | 1.34037i | −0.0344365 | + | 0.0596458i | ||||
\(506\) | −0.00951453 | − | 0.00798364i | −0.000422972 | − | 0.000354916i | ||||
\(507\) | 0.438795 | − | 8.69801i | 0.0194876 | − | 0.386292i | ||||
\(508\) | 3.18549 | + | 18.0658i | 0.141333 | + | 0.801541i | ||||
\(509\) | 23.2571 | − | 19.5150i | 1.03085 | − | 0.864989i | 0.0399017 | − | 0.999204i | \(-0.487296\pi\) |
0.990952 | + | 0.134214i | \(0.0428511\pi\) | |||||||
\(510\) | −0.187605 | + | 0.0234074i | −0.00830730 | + | 0.00103650i | ||||
\(511\) | −9.27160 | + | 3.37459i | −0.410151 | + | 0.149283i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.91945 | − | 12.5966i | 0.0847456 | − | 0.556152i | ||||
\(514\) | −15.2441 | −0.672387 | ||||||||
\(515\) | 6.42073 | − | 2.33696i | 0.282931 | − | 0.102979i | ||||
\(516\) | −0.921797 | + | 2.18348i | −0.0405799 | + | 0.0961222i | ||||
\(517\) | −0.0850326 | + | 0.0713508i | −0.00373973 | + | 0.00313801i | ||||
\(518\) | −0.902689 | − | 5.11941i | −0.0396619 | − | 0.224934i | ||||
\(519\) | −21.4307 | + | 10.9723i | −0.940703 | + | 0.481631i | ||||
\(520\) | −2.03935 | − | 1.71122i | −0.0894315 | − | 0.0750420i | ||||
\(521\) | 11.8470 | − | 20.5197i | 0.519028 | − | 0.898983i | −0.480727 | − | 0.876870i | \(-0.659627\pi\) |
0.999755 | − | 0.0221129i | \(-0.00703933\pi\) | |||||||
\(522\) | −0.832890 | − | 1.85119i | −0.0364546 | − | 0.0810243i | ||||
\(523\) | −10.7941 | − | 18.6960i | −0.471994 | − | 0.817518i | 0.527492 | − | 0.849560i | \(-0.323132\pi\) |
−0.999487 | + | 0.0320416i | \(0.989799\pi\) | |||||||
\(524\) | 3.70582 | − | 21.0168i | 0.161890 | − | 0.918122i | ||||
\(525\) | −2.34785 | − | 7.62612i | −0.102469 | − | 0.332831i | ||||
\(526\) | −10.0680 | − | 3.66444i | −0.438985 | − | 0.159777i | ||||
\(527\) | 1.22473 | + | 0.445764i | 0.0533499 | + | 0.0194178i | ||||
\(528\) | −0.127491 | − | 0.414107i | −0.00554833 | − | 0.0180217i | ||||
\(529\) | −3.99348 | + | 22.6482i | −0.173630 | + | 0.984702i | ||||
\(530\) | 3.79212 | + | 6.56814i | 0.164719 | + | 0.285302i | ||||
\(531\) | −14.5657 | − | 1.47336i | −0.632096 | − | 0.0639384i | ||||
\(532\) | 1.22610 | − | 2.12366i | 0.0531581 | − | 0.0920725i | ||||
\(533\) | 39.3797 | + | 33.0435i | 1.70573 | + | 1.43127i | ||||
\(534\) | 10.9001 | − | 5.58072i | 0.471691 | − | 0.241501i | ||||
\(535\) | −1.79060 | − | 10.1550i | −0.0774143 | − | 0.439038i | ||||
\(536\) | 2.55910 | − | 2.14734i | 0.110536 | − | 0.0927508i | ||||
\(537\) | −4.00893 | + | 9.49602i | −0.172998 | + | 0.409783i | ||||
\(538\) | 13.0799 | − | 4.76069i | 0.563915 | − | 0.205248i | ||||
\(539\) | −0.250159 | −0.0107751 | ||||||||
\(540\) | 3.08662 | + | 1.04260i | 0.132827 | + | 0.0448664i | ||||
\(541\) | 14.9833 | 0.644184 | 0.322092 | − | 0.946708i | \(-0.395614\pi\) | ||||
0.322092 | + | 0.946708i | \(0.395614\pi\) | |||||||
\(542\) | 4.69846 | − | 1.71010i | 0.201816 | − | 0.0734550i | ||||
\(543\) | 24.8700 | − | 3.10302i | 1.06728 | − | 0.133163i | ||||
\(544\) | −0.133361 | + | 0.111904i | −0.00571782 | + | 0.00479782i | ||||
\(545\) | −1.55253 | − | 8.80483i | −0.0665030 | − | 0.377157i | ||||
\(546\) | −0.370533 | + | 7.34488i | −0.0158573 | + | 0.314332i | ||||
\(547\) | −27.0650 | − | 22.7102i | −1.15722 | − | 0.971020i | −0.157353 | − | 0.987542i | \(-0.550296\pi\) |
−0.999863 | + | 0.0165225i | \(0.994740\pi\) | |||||||
\(548\) | −2.77639 | + | 4.80885i | −0.118601 | + | 0.205424i | ||||
\(549\) | 6.90863 | − | 4.69933i | 0.294853 | − | 0.200562i | ||||
\(550\) | −0.576226 | − | 0.998053i | −0.0245704 | − | 0.0425571i | ||||
\(551\) | 0.288127 | − | 1.63405i | 0.0122746 | − | 0.0696129i | ||||
\(552\) | 0.0585261 | − | 0.0630080i | 0.00249103 | − | 0.00268180i | ||||
\(553\) | 5.12170 | + | 1.86415i | 0.217797 | + | 0.0792716i | ||||
\(554\) | −7.91241 | − | 2.87988i | −0.336166 | − | 0.122354i | ||||
\(555\) | 5.50314 | + | 1.25917i | 0.233595 | + | 0.0534489i | ||||
\(556\) | −0.153758 | + | 0.872007i | −0.00652081 | + | 0.0369813i | ||||
\(557\) | 0.176302 | + | 0.305364i | 0.00747014 | + | 0.0129387i | 0.869736 | − | 0.493517i | \(-0.164289\pi\) |
−0.862266 | + | 0.506455i | \(0.830955\pi\) | |||||||
\(558\) | −15.6646 | − | 16.0948i | −0.663137 | − | 0.681348i | ||||
\(559\) | 2.90501 | − | 5.03163i | 0.122869 | − | 0.212815i | ||||
\(560\) | 0.480304 | + | 0.403023i | 0.0202966 | + | 0.0170308i | ||||
\(561\) | 0.0633424 | + | 0.0409592i | 0.00267432 | + | 0.00172930i | ||||
\(562\) | 4.06049 | + | 23.0282i | 0.171282 | + | 0.971386i | ||||
\(563\) | −30.4124 | + | 25.5191i | −1.28173 | + | 1.07550i | −0.288729 | + | 0.957411i | \(0.593233\pi\) |
−0.993003 | + | 0.118089i | \(0.962323\pi\) | |||||||
\(564\) | −0.463728 | − | 0.612892i | −0.0195265 | − | 0.0258074i | ||||
\(565\) | −2.90515 | + | 1.05739i | −0.122221 | + | 0.0444847i | ||||
\(566\) | 16.2976 | 0.685041 | ||||||||
\(567\) | −2.84800 | − | 8.53750i | −0.119605 | − | 0.358541i | ||||
\(568\) | 4.28974 | 0.179993 | ||||||||
\(569\) | −34.6626 | + | 12.6161i | −1.45313 | + | 0.528896i | −0.943464 | − | 0.331475i | \(-0.892454\pi\) |
−0.509667 | + | 0.860372i | \(0.670231\pi\) | |||||||
\(570\) | 1.60681 | + | 2.12366i | 0.0673020 | + | 0.0889504i | ||||
\(571\) | −7.33363 | + | 6.15365i | −0.306903 | + | 0.257522i | −0.783211 | − | 0.621757i | \(-0.786419\pi\) |
0.476308 | + | 0.879279i | \(0.341975\pi\) | |||||||
\(572\) | 0.184443 | + | 1.04603i | 0.00771195 | + | 0.0437366i | ||||
\(573\) | −10.2706 | − | 6.64131i | −0.429061 | − | 0.277445i | ||||
\(574\) | −9.27464 | − | 7.78234i | −0.387116 | − | 0.324829i | ||||
\(575\) | 0.114365 | − | 0.198087i | 0.00476936 | − | 0.00826078i | ||||
\(576\) | 2.90803 | − | 0.737141i | 0.121168 | − | 0.0307142i | ||||
\(577\) | 2.17563 | + | 3.76831i | 0.0905728 | + | 0.156877i | 0.907752 | − | 0.419507i | \(-0.137797\pi\) |
−0.817179 | + | 0.576383i | \(0.804464\pi\) | |||||||
\(578\) | −2.94676 | + | 16.7119i | −0.122569 | + | 0.695123i | ||||
\(579\) | 20.0572 | + | 4.58929i | 0.833548 | + | 0.190724i | ||||
\(580\) | 0.398664 | + | 0.145102i | 0.0165536 | + | 0.00602503i | ||||
\(581\) | 5.81583 | + | 2.11679i | 0.241281 | + | 0.0878193i | ||||
\(582\) | −17.9651 | + | 19.3408i | −0.744676 | + | 0.801704i | ||||
\(583\) | 0.525455 | − | 2.98000i | 0.0217621 | − | 0.123419i | ||||
\(584\) | −4.93331 | − | 8.54475i | −0.204142 | − | 0.353584i | ||||
\(585\) | −7.19190 | − | 3.47299i | −0.297349 | − | 0.143590i | ||||
\(586\) | −7.51666 | + | 13.0192i | −0.310510 | + | 0.537820i | ||||
\(587\) | −18.7090 | − | 15.6987i | −0.772201 | − | 0.647954i | 0.169070 | − | 0.985604i | \(-0.445923\pi\) |
−0.941272 | + | 0.337650i | \(0.890368\pi\) | |||||||
\(588\) | 0.0872671 | − | 1.72985i | 0.00359884 | − | 0.0713379i | ||||
\(589\) | −3.18788 | − | 18.0794i | −0.131354 | − | 0.744947i | ||||
\(590\) | 2.34388 | − | 1.96675i | 0.0964962 | − | 0.0809699i | ||||
\(591\) | −43.2758 | + | 5.39949i | −1.78013 | + | 0.222105i | ||||
\(592\) | 4.88488 | − | 1.77795i | 0.200767 | − | 0.0730733i | ||||
\(593\) | 12.9536 | 0.531941 | 0.265970 | − | 0.963981i | \(-0.414308\pi\) | ||||
0.265970 | + | 0.963981i | \(0.414308\pi\) | |||||||
\(594\) | −0.676002 | − | 1.11026i | −0.0277367 | − | 0.0455543i | ||||
\(595\) | −0.109154 | −0.00447487 | ||||||||
\(596\) | 4.99854 | − | 1.81932i | 0.204748 | − | 0.0745223i | ||||
\(597\) | 5.19092 | − | 12.2958i | 0.212450 | − | 0.503234i | ||||
\(598\) | −0.161491 | + | 0.135507i | −0.00660384 | + | 0.00554128i | ||||
\(599\) | 0.631798 | + | 3.58311i | 0.0258146 | + | 0.146402i | 0.994991 | − | 0.0999669i | \(-0.0318737\pi\) |
−0.969176 | + | 0.246369i | \(0.920763\pi\) | |||||||
\(600\) | 7.10256 | − | 3.63644i | 0.289961 | − | 0.148457i | ||||
\(601\) | −22.2215 | − | 18.6460i | −0.906434 | − | 0.760588i | 0.0650034 | − | 0.997885i | \(-0.479294\pi\) |
−0.971437 | + | 0.237297i | \(0.923739\pi\) | |||||||
\(602\) | −0.684183 | + | 1.18504i | −0.0278852 | + | 0.0482986i | ||||
\(603\) | 5.85903 | − | 8.13093i | 0.238598 | − | 0.331117i | ||||
\(604\) | 4.65446 | + | 8.06176i | 0.189387 | + | 0.328028i | ||||
\(605\) | −1.19082 | + | 6.75350i | −0.0484139 | + | 0.274569i | ||||
\(606\) | 1.25804 | + | 4.08629i | 0.0511045 | + | 0.165994i | ||||
\(607\) | 6.10716 | + | 2.22282i | 0.247882 | + | 0.0902217i | 0.462973 | − | 0.886372i | \(-0.346783\pi\) |
−0.215091 | + | 0.976594i | \(0.569005\pi\) | |||||||
\(608\) | 2.30431 | + | 0.838700i | 0.0934521 | + | 0.0340138i | ||||
\(609\) | −0.344844 | − | 1.12010i | −0.0139738 | − | 0.0453886i | ||||
\(610\) | −0.303235 | + | 1.71973i | −0.0122776 | + | 0.0696298i | ||||
\(611\) | 0.942023 | + | 1.63163i | 0.0381102 | + | 0.0660088i | ||||
\(612\) | −0.305330 | + | 0.423725i | −0.0123422 | + | 0.0171281i | ||||
\(613\) | 7.49041 | − | 12.9738i | 0.302535 | − | 0.524005i | −0.674175 | − | 0.738572i | \(-0.735501\pi\) |
0.976709 | + | 0.214566i | \(0.0688339\pi\) | |||||||
\(614\) | 11.5372 | + | 9.68083i | 0.465602 | + | 0.390687i | ||||
\(615\) | 11.7034 | − | 5.99204i | 0.471928 | − | 0.241623i | ||||
\(616\) | −0.0434396 | − | 0.246358i | −0.00175023 | − | 0.00992606i | ||||
\(617\) | 3.98099 | − | 3.34045i | 0.160269 | − | 0.134481i | −0.559127 | − | 0.829082i | \(-0.688863\pi\) |
0.719395 | + | 0.694601i | \(0.244419\pi\) | |||||||
\(618\) | 7.34124 | − | 17.3893i | 0.295308 | − | 0.699501i | ||||
\(619\) | 5.82097 | − | 2.11866i | 0.233965 | − | 0.0851561i | −0.222377 | − | 0.974961i | \(-0.571382\pi\) |
0.456342 | + | 0.889805i | \(0.349159\pi\) | |||||||
\(620\) | 4.69396 | 0.188514 | ||||||||
\(621\) | 0.123750 | − | 0.226371i | 0.00496590 | − | 0.00908395i | ||||
\(622\) | 31.2096 | 1.25139 | ||||||||
\(623\) | 6.64365 | − | 2.41809i | 0.266172 | − | 0.0968787i | ||||
\(624\) | −7.29764 | + | 0.910521i | −0.292139 | + | 0.0364500i | ||||
\(625\) | 14.7523 | − | 12.3786i | 0.590092 | − | 0.495146i | ||||
\(626\) | −3.06803 | − | 17.3997i | −0.122623 | − | 0.695431i | ||||
\(627\) | 0.0535330 | − | 1.06116i | 0.00213790 | − | 0.0423785i | ||||
\(628\) | −5.43396 | − | 4.55964i | −0.216839 | − | 0.181949i | ||||
\(629\) | −0.452496 | + | 0.783745i | −0.0180422 | + | 0.0312500i | ||||
\(630\) | 1.69382 | + | 0.817950i | 0.0674835 | + | 0.0325879i | ||||
\(631\) | 20.7579 | + | 35.9538i | 0.826360 | + | 1.43130i | 0.900876 | + | 0.434077i | \(0.142925\pi\) |
−0.0745161 | + | 0.997220i | \(0.523741\pi\) | |||||||
\(632\) | −0.946453 | + | 5.36760i | −0.0376479 | + | 0.213512i | ||||
\(633\) | −29.7009 | + | 31.9754i | −1.18050 | + | 1.27091i | ||||
\(634\) | 21.9205 | + | 7.97842i | 0.870576 | + | 0.316864i | ||||
\(635\) | −10.8082 | − | 3.93387i | −0.428912 | − | 0.156111i | ||||
\(636\) | 20.4234 | + | 4.67309i | 0.809842 | + | 0.185300i | ||||
\(637\) | −0.737303 | + | 4.18146i | −0.0292130 | + | 0.165675i | ||||
\(638\) | −0.0846340 | − | 0.146590i | −0.00335069 | − | 0.00580357i | ||||
\(639\) | 12.4747 | − | 3.16214i | 0.493490 | − | 0.125092i | ||||
\(640\) | −0.313496 | + | 0.542992i | −0.0123920 | + | 0.0214636i | ||||
\(641\) | 7.01815 | + | 5.88893i | 0.277200 | + | 0.232599i | 0.770779 | − | 0.637102i | \(-0.219867\pi\) |
−0.493579 | + | 0.869701i | \(0.664312\pi\) | |||||||
\(642\) | −23.9203 | − | 15.4677i | −0.944061 | − | 0.610460i | ||||
\(643\) | 3.67117 | + | 20.8202i | 0.144777 | + | 0.821069i | 0.967546 | + | 0.252694i | \(0.0813166\pi\) |
−0.822770 | + | 0.568375i | \(0.807572\pi\) | |||||||
\(644\) | 0.0380340 | − | 0.0319143i | 0.00149875 | − | 0.00125760i | ||||
\(645\) | −0.896629 | − | 1.18504i | −0.0353047 | − | 0.0466609i | ||||
\(646\) | −0.401159 | + | 0.146010i | −0.0157834 | + | 0.00574469i | ||||
\(647\) | −10.4626 | −0.411329 | −0.205664 | − | 0.978623i | \(-0.565935\pi\) | ||||
−0.205664 | + | 0.978623i | \(0.565935\pi\) | |||||||
\(648\) | 7.91325 | − | 4.28725i | 0.310862 | − | 0.168419i | ||||
\(649\) | −1.22078 | −0.0479196 | ||||||||
\(650\) | −18.3810 | + | 6.69013i | −0.720961 | + | 0.262409i | ||||
\(651\) | −7.82393 | − | 10.3406i | −0.306644 | − | 0.405279i | ||||
\(652\) | 0.0505559 | − | 0.0424214i | 0.00197992 | − | 0.00166135i | ||||
\(653\) | 7.06892 | + | 40.0899i | 0.276628 | + | 1.56884i | 0.733742 | + | 0.679429i | \(0.237772\pi\) |
−0.457113 | + | 0.889408i | \(0.651117\pi\) | |||||||
\(654\) | −20.7400 | − | 13.4112i | −0.810999 | − | 0.524418i | ||||
\(655\) | 10.2502 | + | 8.60091i | 0.400507 | + | 0.336065i | ||||
\(656\) | 6.05359 | − | 10.4851i | 0.236353 | − | 0.409375i | ||||
\(657\) | −20.6449 | − | 21.2118i | −0.805434 | − | 0.827552i | ||||
\(658\) | −0.221863 | − | 0.384279i | −0.00864914 | − | 0.0149807i | ||||
\(659\) | −6.80705 | + | 38.6047i | −0.265165 | + | 1.50383i | 0.503400 | + | 0.864054i | \(0.332082\pi\) |
−0.768565 | + | 0.639772i | \(0.779029\pi\) | |||||||
\(660\) | 0.264824 | + | 0.0605945i | 0.0103083 | + | 0.00235864i | ||||
\(661\) | −20.3201 | − | 7.39592i | −0.790361 | − | 0.287668i | −0.0848749 | − | 0.996392i | \(-0.527049\pi\) |
−0.705486 | + | 0.708724i | \(0.749271\pi\) | |||||||
\(662\) | 12.5402 | + | 4.56426i | 0.487389 | + | 0.177395i | ||||
\(663\) | 0.871333 | − | 0.938060i | 0.0338398 | − | 0.0364312i | ||||
\(664\) | −1.07472 | + | 6.09505i | −0.0417073 | + | 0.236534i | ||||
\(665\) | 0.768754 | + | 1.33152i | 0.0298110 | + | 0.0516342i | ||||
\(666\) | 12.8948 | − | 8.77118i | 0.499662 | − | 0.339876i | ||||
\(667\) | 0.0167976 | − | 0.0290943i | 0.000650405 | − | 0.00112653i | ||||
\(668\) | 12.0576 | + | 10.1176i | 0.466524 | + | 0.391460i | ||||
\(669\) | −2.01292 | + | 39.9011i | −0.0778240 | + | 1.54266i | ||||
\(670\) | 0.363718 | + | 2.06275i | 0.0140517 | + | 0.0796910i | ||||
\(671\) | 0.533723 | − | 0.447847i | 0.0206042 | − | 0.0172889i | ||||
\(672\) | 1.71872 | − | 0.214444i | 0.0663012 | − | 0.00827236i | ||||
\(673\) | 39.4535 | − | 14.3599i | 1.52082 | − | 0.553534i | 0.559468 | − | 0.828852i | \(-0.311006\pi\) |
0.961353 | + | 0.275319i | \(0.0887833\pi\) | |||||||
\(674\) | 25.8095 | 0.994144 | ||||||||
\(675\) | 17.9739 | − | 15.8105i | 0.691814 | − | 0.608545i | ||||
\(676\) | 5.02818 | 0.193392 | ||||||||
\(677\) | −24.4066 | + | 8.88328i | −0.938022 | + | 0.341412i | −0.765385 | − | 0.643573i | \(-0.777451\pi\) |
−0.172638 | + | 0.984985i | \(0.555229\pi\) | |||||||
\(678\) | −3.32165 | + | 7.86805i | −0.127567 | + | 0.302171i | ||||
\(679\) | −11.6748 | + | 9.79636i | −0.448039 | + | 0.375950i | ||||
\(680\) | −0.0189543 | − | 0.107495i | −0.000726866 | − | 0.00412226i | ||||
\(681\) | −0.394666 | + | 0.202065i | −0.0151236 | + | 0.00774316i | ||||
\(682\) | −1.43465 | − | 1.20382i | −0.0549357 | − | 0.0460965i | ||||
\(683\) | 1.47362 | − | 2.55239i | 0.0563866 | − | 0.0976645i | −0.836454 | − | 0.548037i | \(-0.815375\pi\) |
0.892841 | + | 0.450372i | \(0.148709\pi\) | |||||||
\(684\) | 7.31923 | + | 0.740362i | 0.279858 | + | 0.0283085i | ||||
\(685\) | −1.74078 | − | 3.01511i | −0.0665116 | − | 0.115201i | ||||
\(686\) | 0.173648 | − | 0.984808i | 0.00662992 | − | 0.0376001i | ||||
\(687\) | 9.40306 | + | 30.5423i | 0.358749 | + | 1.16526i | ||||
\(688\) | −1.28584 | − | 0.468009i | −0.0490223 | − | 0.0178427i | ||||
\(689\) | −48.2627 | − | 17.5662i | −1.83866 | − | 0.669218i | ||||
\(690\) | 0.0158651 | + | 0.0515319i | 0.000603974 | + | 0.00196179i | ||||
\(691\) | 4.08584 | − | 23.1720i | 0.155433 | − | 0.881504i | −0.802956 | − | 0.596038i | \(-0.796741\pi\) |
0.958389 | − | 0.285465i | \(-0.0921482\pi\) | |||||||
\(692\) | −6.95021 | − | 12.0381i | −0.264207 | − | 0.457621i | ||||
\(693\) | −0.307924 | − | 0.684396i | −0.0116971 | − | 0.0259980i | ||||
\(694\) | −0.957552 | + | 1.65853i | −0.0363482 | + | 0.0629569i | ||||
\(695\) | −0.425290 | − | 0.356860i | −0.0161322 | − | 0.0135365i | ||||
\(696\) | 1.04320 | − | 0.534108i | 0.0395424 | − | 0.0202453i | ||||
\(697\) | 0.366007 | + | 2.07573i | 0.0138635 | + | 0.0786238i | ||||
\(698\) | 15.3338 | − | 12.8666i | 0.580392 | − | 0.487007i | ||||
\(699\) | −15.8823 | + | 37.6206i | −0.600723 | + | 1.42294i | ||||
\(700\) | 4.32905 | − | 1.57565i | 0.163623 | − | 0.0595538i | ||||
\(701\) | 43.0461 | 1.62583 | 0.812914 | − | 0.582383i | \(-0.197880\pi\) | ||||
0.812914 | + | 0.582383i | \(0.197880\pi\) | |||||||
\(702\) | −20.5505 | + | 8.02721i | −0.775630 | + | 0.302967i | ||||
\(703\) | 12.7474 | 0.480779 | ||||||||
\(704\) | 0.235072 | − | 0.0855594i | 0.00885963 | − | 0.00322464i | ||||
\(705\) | 0.478172 | − | 0.0596612i | 0.0180090 | − | 0.00224697i | ||||
\(706\) | 13.5443 | − | 11.3650i | 0.509747 | − | 0.427728i | ||||
\(707\) | 0.428650 | + | 2.43099i | 0.0161210 | + | 0.0914269i | ||||
\(708\) | 0.425864 | − | 8.44167i | 0.0160049 | − | 0.317258i | ||||
\(709\) | −13.8074 | − | 11.5858i | −0.518548 | − | 0.435114i | 0.345577 | − | 0.938390i | \(-0.387683\pi\) |
−0.864125 | + | 0.503277i | \(0.832128\pi\) | |||||||
\(710\) | −1.34482 | + | 2.32929i | −0.0504701 | + | 0.0874167i | ||||
\(711\) | 1.20437 | + | 16.3068i | 0.0451672 | + | 0.611553i | ||||
\(712\) | 3.53501 | + | 6.12282i | 0.132480 | + | 0.229462i | ||||
\(713\) | 0.0645453 | − | 0.366054i | 0.00241724 | − | 0.0137088i | ||||
\(714\) | −0.205214 | + | 0.220930i | −0.00767996 | + | 0.00826809i | ||||
\(715\) | −0.625807 | − | 0.227775i | −0.0234038 | − | 0.00851830i | ||||
\(716\) | −5.59218 | − | 2.03539i | −0.208990 | − | 0.0760660i | ||||
\(717\) | 15.6746 | + | 3.58652i | 0.585380 | + | 0.133941i | ||||
\(718\) | 5.26372 | − | 29.8521i | 0.196440 | − | 1.11407i | ||||
\(719\) | 16.2275 | + | 28.1068i | 0.605182 | + | 1.04821i | 0.992023 | + | 0.126059i | \(0.0402330\pi\) |
−0.386841 | + | 0.922147i | \(0.626434\pi\) | |||||||
\(720\) | −0.511395 | + | 1.81013i | −0.0190586 | + | 0.0674594i | ||||
\(721\) | 5.44887 | − | 9.43772i | 0.202927 | − | 0.351479i | ||||
\(722\) | −9.94842 | − | 8.34772i | −0.370242 | − | 0.310670i | ||||
\(723\) | −23.0606 | − | 14.9117i | −0.857633 | − | 0.554573i | ||||
\(724\) | 2.51270 | + | 14.2502i | 0.0933837 | + | 0.529606i | ||||
\(725\) | 2.38792 | − | 2.00370i | 0.0886852 | − | 0.0744157i | ||||
\(726\) | 11.4304 | + | 15.1072i | 0.424223 | + | 0.560680i | ||||
\(727\) | −26.5268 | + | 9.65498i | −0.983826 | + | 0.358083i | −0.783327 | − | 0.621610i | \(-0.786479\pi\) |
−0.200500 | + | 0.979694i | \(0.564257\pi\) | |||||||
\(728\) | −4.24596 | −0.157366 | ||||||||
\(729\) | 19.8516 | − | 18.3006i | 0.735246 | − | 0.677801i | ||||
\(730\) | 6.18630 | 0.228965 | ||||||||
\(731\) | 0.223854 | − | 0.0814761i | 0.00827953 | − | 0.00301350i | ||||
\(732\) | 2.91068 | + | 3.84693i | 0.107582 | + | 0.142187i | ||||
\(733\) | −21.8457 | + | 18.3308i | −0.806891 | + | 0.677062i | −0.949864 | − | 0.312665i | \(-0.898778\pi\) |
0.142973 | + | 0.989727i | \(0.454334\pi\) | |||||||
\(734\) | −1.70454 | − | 9.66691i | −0.0629156 | − | 0.356812i | ||||
\(735\) | 0.911937 | + | 0.589687i | 0.0336373 | + | 0.0217509i | ||||
\(736\) | 0.0380340 | + | 0.0319143i | 0.00140195 | + | 0.00117638i | ||||
\(737\) | 0.417848 | − | 0.723734i | 0.0153916 | − | 0.0266591i | ||||
\(738\) | 9.87499 | − | 34.9534i | 0.363503 | − | 1.28665i | ||||
\(739\) | −9.56401 | − | 16.5653i | −0.351818 | − | 0.609366i | 0.634750 | − | 0.772717i | \(-0.281103\pi\) |
−0.986568 | + | 0.163351i | \(0.947770\pi\) | |||||||
\(740\) | −0.565980 | + | 3.20983i | −0.0208058 | + | 0.117996i | ||||
\(741\) | −17.5797 | − | 4.02240i | −0.645805 | − | 0.147767i | ||||
\(742\) | 11.3667 | + | 4.13715i | 0.417285 | + | 0.151879i | ||||
\(743\) | −33.0997 | − | 12.0473i | −1.21431 | − | 0.441973i | −0.346114 | − | 0.938193i | \(-0.612499\pi\) |
−0.868197 | + | 0.496219i | \(0.834721\pi\) | |||||||
\(744\) | 8.82487 | − | 9.50068i | 0.323536 | − | 0.348312i | ||||
\(745\) | −0.579149 | + | 3.28452i | −0.0212184 | + | 0.120335i | ||||
\(746\) | −8.15947 | − | 14.1326i | −0.298740 | − | 0.517432i | ||||
\(747\) | 1.36759 | + | 18.5168i | 0.0500375 | + | 0.677495i | ||||
\(748\) | −0.0217752 | + | 0.0377157i | −0.000796180 | + | 0.00137902i | ||||
\(749\) | −12.5985 | − | 10.5714i | −0.460340 | − | 0.386271i | ||||
\(750\) | −0.525649 | + | 10.4197i | −0.0191940 | + | 0.380472i | ||||
\(751\) | 7.86664 | + | 44.6139i | 0.287058 | + | 1.62798i | 0.697842 | + | 0.716252i | \(0.254144\pi\) |
−0.410784 | + | 0.911733i | \(0.634745\pi\) | |||||||
\(752\) | 0.339914 | − | 0.285222i | 0.0123954 | − | 0.0104010i | ||||
\(753\) | −17.0775 | + | 2.13074i | −0.622337 | + | 0.0776486i | ||||
\(754\) | −2.69973 | + | 0.982623i | −0.0983185 | + | 0.0357850i | ||||
\(755\) | −5.83662 | −0.212416 | ||||||||
\(756\) | 4.84002 | − | 1.89055i | 0.176030 | − | 0.0687587i | ||||
\(757\) | −28.8426 | −1.04830 | −0.524151 | − | 0.851626i | \(-0.675617\pi\) | ||||
−0.524151 | + | 0.851626i | \(0.675617\pi\) | |||||||
\(758\) | 26.6883 | − | 9.71375i | 0.969363 | − | 0.352819i | ||||
\(759\) | 0.00836694 | − | 0.0198189i | 0.000303701 | − | 0.000719380i | ||||
\(760\) | −1.17780 | + | 0.988291i | −0.0427233 | + | 0.0358491i | ||||
\(761\) | −5.28082 | − | 29.9490i | −0.191430 | − | 1.08565i | −0.917412 | − | 0.397938i | \(-0.869726\pi\) |
0.725983 | − | 0.687713i | \(-0.241385\pi\) | |||||||
\(762\) | −28.2823 | + | 14.4802i | −1.02456 | + | 0.524564i | ||||
\(763\) | −10.9235 | − | 9.16588i | −0.395456 | − | 0.331827i | ||||
\(764\) | 3.53073 | − | 6.11541i | 0.127737 | − | 0.221248i | ||||
\(765\) | −0.134359 | − | 0.298628i | −0.00485776 | − | 0.0107969i | ||||
\(766\) | −5.31235 | − | 9.20127i | −0.191943 | − | 0.332455i | ||||
\(767\) | −3.59804 | + | 20.4055i | −0.129918 | + | 0.736800i | ||||
\(768\) | 0.509640 | + | 1.65538i | 0.0183900 | + | 0.0597332i | ||||
\(769\) | 46.4767 | + | 16.9161i | 1.67599 | + | 0.610012i | 0.992752 | − | 0.120181i | \(-0.0383475\pi\) |
0.683241 | + | 0.730193i | \(0.260570\pi\) | |||||||
\(770\) | 0.147389 | + | 0.0536451i | 0.00531152 | + | 0.00193323i | ||||
\(771\) | −7.76899 | − | 25.2347i | −0.279793 | − | 0.908804i | ||||
\(772\) | −2.06282 | + | 11.6988i | −0.0742424 | + | 0.421049i | ||||
\(773\) | −1.01084 | − | 1.75082i | −0.0363572 | − | 0.0629726i | 0.847274 | − | 0.531156i | \(-0.178242\pi\) |
−0.883631 | + | 0.468183i | \(0.844909\pi\) | |||||||
\(774\) | −4.08426 | − | 0.413135i | −0.146806 | − | 0.0148498i | ||||
\(775\) | 17.2446 | − | 29.8686i | 0.619445 | − | 1.07291i | ||||
\(776\) | −11.6748 | − | 9.79636i | −0.419102 | − | 0.351669i | ||||
\(777\) | 8.01449 | − | 4.10334i | 0.287518 | − | 0.147207i | ||||
\(778\) | −6.23887 | − | 35.3824i | −0.223674 | − | 1.26852i | ||||
\(779\) | 22.7432 | − | 19.0838i | 0.814860 | − | 0.683749i | ||||
\(780\) | 1.79338 | − | 4.24800i | 0.0642132 | − | 0.152103i | ||||
\(781\) | 1.00840 | − | 0.367027i | 0.0360833 | − | 0.0131333i | ||||
\(782\) | −0.00864358 | −0.000309094 | ||||||||
\(783\) | 2.63994 | − | 2.32218i | 0.0943437 | − | 0.0829881i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | 4.17937 | − | 1.52117i | 0.149168 | − | 0.0542928i | ||||
\(786\) | 36.6793 | − | 4.57645i | 1.30831 | − | 0.163237i | ||||
\(787\) | 20.8346 | − | 17.4823i | 0.742673 | − | 0.623177i | −0.190881 | − | 0.981613i | \(-0.561135\pi\) |
0.933554 | + | 0.358437i | \(0.116690\pi\) | |||||||
\(788\) | −4.37229 | − | 24.7965i | −0.155756 | − | 0.883338i | ||||
\(789\) | 0.934991 | − | 18.5338i | 0.0332865 | − | 0.659822i | ||||
\(790\) | −2.61785 | − | 2.19664i | −0.0931390 | − | 0.0781529i | ||||
\(791\) | −2.46542 | + | 4.27023i | −0.0876602 | + | 0.151832i | ||||
\(792\) | 0.620528 | − | 0.422090i | 0.0220495 | − | 0.0149983i | ||||
\(793\) | −5.91279 | − | 10.2412i | −0.209969 | − | 0.363677i | ||||
\(794\) | −4.35787 | + | 24.7147i | −0.154655 | + | 0.877092i | ||||
\(795\) | −8.94013 | + | 9.62476i | −0.317074 | + | 0.341355i | ||||
\(796\) | 7.24097 | + | 2.63550i | 0.256649 | + | 0.0934127i | ||||
\(797\) | 9.14436 | + | 3.32827i | 0.323910 | + | 0.117893i | 0.498857 | − | 0.866684i | \(-0.333753\pi\) |
−0.174947 | + | 0.984578i | \(0.555976\pi\) | |||||||
\(798\) | 4.14033 | + | 0.947349i | 0.146566 | + | 0.0335358i | ||||
\(799\) | −0.0134141 | + | 0.0760752i | −0.000474557 | + | 0.00269135i | ||||
\(800\) | 2.30344 | + | 3.98968i | 0.0814389 | + | 0.141056i | ||||
\(801\) | 14.7933 | + | 15.1995i | 0.522695 | + | 0.537049i | ||||
\(802\) | −8.77761 | + | 15.2033i | −0.309948 | + | 0.536846i | ||||
\(803\) | −1.89077 | − | 1.58654i | −0.0667238 | − | 0.0559879i | ||||
\(804\) | 4.85887 | + | 3.14190i | 0.171359 | + | 0.110806i | ||||
\(805\) | 0.00540568 | + | 0.0306571i | 0.000190525 | + | 0.00108052i | ||||
\(806\) | −24.3504 | + | 20.4324i | −0.857707 | + | 0.719702i | ||||
\(807\) | 14.5468 | + | 19.2259i | 0.512071 | + | 0.676784i | ||||
\(808\) | −2.31963 | + | 0.844275i | −0.0816042 | + | 0.0297015i | ||||
\(809\) | −45.0259 | −1.58303 | −0.791513 | − | 0.611152i | \(-0.790706\pi\) | ||||
−0.791513 | + | 0.611152i | \(0.790706\pi\) | |||||||
\(810\) | −0.152833 | + | 5.64086i | −0.00537001 | + | 0.198200i | ||||
\(811\) | −30.9730 | −1.08761 | −0.543805 | − | 0.839212i | \(-0.683017\pi\) | ||||
−0.543805 | + | 0.839212i | \(0.683017\pi\) | |||||||
\(812\) | 0.635836 | − | 0.231425i | 0.0223135 | − | 0.00812144i | ||||
\(813\) | 5.22537 | + | 6.90618i | 0.183262 | + | 0.242210i | ||||
\(814\) | 0.996180 | − | 0.835895i | 0.0349161 | − | 0.0292981i | ||||
\(815\) | 0.00718539 | + | 0.0407504i | 0.000251693 | + | 0.00142742i | ||||
\(816\) | −0.253209 | − | 0.163733i | −0.00886407 | − | 0.00573179i | ||||
\(817\) | −2.57046 | − | 2.15687i | −0.0899291 | − | 0.0754595i | ||||
\(818\) | −16.4116 | + | 28.4258i | −0.573819 | + | 0.993883i | ||||
\(819\) | −12.3474 | + | 3.12987i | −0.431452 | + | 0.109367i | ||||
\(820\) | 3.79556 | + | 6.57410i | 0.132547 | + | 0.229577i | ||||
\(821\) | −5.53289 | + | 31.3786i | −0.193099 | + | 1.09512i | 0.722000 | + | 0.691893i | \(0.243223\pi\) |
−0.915100 | + | 0.403228i | \(0.867888\pi\) | |||||||
\(822\) | −9.37540 | − | 2.14519i | −0.327005 | − | 0.0748220i | ||||
\(823\) | 23.2299 | + | 8.45499i | 0.809743 | + | 0.294722i | 0.713518 | − | 0.700637i | \(-0.247101\pi\) |
0.0962253 | + | 0.995360i | \(0.469323\pi\) | |||||||
\(824\) | 10.2405 | + | 3.72725i | 0.356746 | + | 0.129845i | ||||
\(825\) | 1.35848 | − | 1.46252i | 0.0472963 | − | 0.0509183i | ||||
\(826\) | 0.847403 | − | 4.80586i | 0.0294849 | − | 0.167217i | ||||
\(827\) | −19.0382 | − | 32.9751i | −0.662022 | − | 1.14666i | −0.980083 | − | 0.198586i | \(-0.936365\pi\) |
0.318061 | − | 0.948070i | \(-0.396968\pi\) | |||||||
\(828\) | 0.134129 | + | 0.0647712i | 0.00466131 | + | 0.00225096i | ||||
\(829\) | 15.7838 | − | 27.3383i | 0.548194 | − | 0.949499i | −0.450205 | − | 0.892925i | \(-0.648649\pi\) |
0.998398 | − | 0.0565737i | \(-0.0180176\pi\) | |||||||
\(830\) | −2.97264 | − | 2.49434i | −0.103182 | − | 0.0865799i | ||||
\(831\) | 0.734808 | − | 14.5657i | 0.0254902 | − | 0.505279i | ||||
\(832\) | −0.737303 | − | 4.18146i | −0.0255614 | − | 0.144966i | ||||
\(833\) | −0.133361 | + | 0.111904i | −0.00462070 | + | 0.00387723i | ||||
\(834\) | −1.52186 | + | 0.189881i | −0.0526977 | + | 0.00657506i | ||||
\(835\) | −9.27378 | + | 3.37538i | −0.320932 | + | 0.116810i | ||||
\(836\) | 0.613438 | 0.0212162 | ||||||||
\(837\) | 18.6596 | − | 34.1334i | 0.644971 | − | 1.17982i | ||||
\(838\) | 10.5765 | 0.365360 | ||||||||
\(839\) | −38.9174 | + | 14.1648i | −1.34358 | + | 0.489023i | −0.910938 | − | 0.412543i | \(-0.864641\pi\) |
−0.432641 | + | 0.901566i | \(0.642418\pi\) | |||||||
\(840\) | −0.422372 | + | 1.00048i | −0.0145732 | + | 0.0345198i | ||||
\(841\) | −21.8646 | + | 18.3465i | −0.753950 | + | 0.632639i | ||||
\(842\) | −2.89699 | − | 16.4297i | −0.0998370 | − | 0.566204i | ||||
\(843\) | −36.0509 | + | 18.4577i | −1.24166 | + | 0.635718i | ||||
\(844\) | −19.3015 | − | 16.1959i | −0.664385 | − | 0.557485i | ||||
\(845\) | −1.57632 | + | 2.73026i | −0.0542269 | + | 0.0939238i | ||||
\(846\) | 0.778232 | − | 1.08000i | 0.0267562 | − | 0.0371311i | ||||
\(847\) | 5.46871 | + | 9.47208i | 0.187907 | + | 0.325465i | ||||
\(848\) | −2.10049 | + | 11.9124i | −0.0721310 | + | 0.409075i | ||||
\(849\) | 8.30592 | + | 26.9787i | 0.285059 | + | 0.925907i | ||||
\(850\) | −0.753649 | − | 0.274306i | −0.0258499 | − | 0.00940861i | ||||
\(851\) | 0.242533 | + | 0.0882749i | 0.00831394 | + | 0.00302603i | ||||
\(852\) | 2.18622 | + | 7.10112i | 0.0748987 | + | 0.243281i | ||||
\(853\) | 1.95657 | − | 11.0962i | 0.0669915 | − | 0.379928i | −0.932817 | − | 0.360351i | \(-0.882657\pi\) |
0.999808 | − | 0.0195769i | \(-0.00623192\pi\) | |||||||
\(854\) | 1.39257 | + | 2.41200i | 0.0476527 | + | 0.0825369i | ||||
\(855\) | −2.69656 | + | 3.74218i | −0.0922205 | + | 0.127980i | ||||
\(856\) | 8.22309 | − | 14.2428i | 0.281060 | − | 0.486809i | ||||
\(857\) | −15.9612 | − | 13.3931i | −0.545226 | − | 0.457499i | 0.328095 | − | 0.944645i | \(-0.393593\pi\) |
−0.873320 | + | 0.487146i | \(0.838038\pi\) | |||||||
\(858\) | −1.63757 | + | 0.838420i | −0.0559057 | + | 0.0286232i | ||||
\(859\) | 4.93230 | + | 27.9725i | 0.168288 | + | 0.954409i | 0.945609 | + | 0.325305i | \(0.105467\pi\) |
−0.777321 | + | 0.629104i | \(0.783422\pi\) | |||||||
\(860\) | 0.657232 | − | 0.551483i | 0.0224114 | − | 0.0188054i | ||||
\(861\) | 8.15598 | − | 19.3192i | 0.277955 | − | 0.658396i | ||||
\(862\) | −14.4918 | + | 5.27460i | −0.493594 | + | 0.179654i | ||||
\(863\) | 24.0745 | 0.819505 | 0.409752 | − | 0.912197i | \(-0.365615\pi\) | ||||
0.409752 | + | 0.912197i | \(0.365615\pi\) | |||||||
\(864\) | 2.70229 | + | 4.43820i | 0.0919338 | + | 0.150991i | ||||
\(865\) | 8.71547 | 0.296335 | ||||||||
\(866\) | −38.1062 | + | 13.8695i | −1.29490 | + | 0.471305i | ||||
\(867\) | −29.1662 | + | 3.63905i | −0.990537 | + | 0.123589i | ||||
\(868\) | 5.73496 | − | 4.81221i | 0.194657 | − | 0.163337i | ||||
\(869\) | 0.236764 | + | 1.34275i | 0.00803165 | + | 0.0455498i | ||||
\(870\) | −0.0370231 | + | 0.733889i | −0.00125520 | + | 0.0248812i | ||||
\(871\) | −10.8658 | − | 9.11751i | −0.368174 | − | 0.308935i | ||||
\(872\) | 7.12979 | − | 12.3492i | 0.241445 | − | 0.418195i | ||||
\(873\) | −41.1721 | − | 19.8821i | −1.39346 | − | 0.672906i | ||||
\(874\) | 0.0608755 | + | 0.105439i | 0.00205914 | + | 0.00356654i | ||||
\(875\) | −1.04596 | + | 5.93193i | −0.0353599 | + | 0.200536i | ||||
\(876\) | 11.6306 | − | 12.5212i | 0.392960 | − | 0.423053i | ||||
\(877\) | −46.8390 | − | 17.0480i | −1.58164 | − | 0.575671i | −0.606082 | − | 0.795402i | \(-0.707260\pi\) |
−0.975560 | + | 0.219732i | \(0.929482\pi\) | |||||||
\(878\) | 32.3792 | + | 11.7851i | 1.09275 | + | 0.397727i | ||||
\(879\) | −25.3825 | − | 5.80778i | −0.856131 | − | 0.195891i | ||||
\(880\) | −0.0272363 | + | 0.154465i | −0.000918136 | + | 0.00520701i | ||||
\(881\) | −23.4713 | − | 40.6535i | −0.790769 | − | 1.36965i | −0.925491 | − | 0.378769i | \(-0.876348\pi\) |
0.134723 | − | 0.990883i | \(-0.456986\pi\) | |||||||
\(882\) | 2.90803 | − | 0.737141i | 0.0979184 | − | 0.0248208i | ||||
\(883\) | −18.0309 | + | 31.2304i | −0.606788 | + | 1.05099i | 0.384978 | + | 0.922926i | \(0.374209\pi\) |
−0.991766 | + | 0.128062i | \(0.959124\pi\) | |||||||
\(884\) | 0.566247 | + | 0.475138i | 0.0190450 | + | 0.0159806i | ||||
\(885\) | 4.45025 | + | 2.87767i | 0.149594 | + | 0.0967320i | ||||
\(886\) | −4.22885 | − | 23.9830i | −0.142071 | − | 0.805725i | ||||
\(887\) | −1.12872 | + | 0.947106i | −0.0378986 | + | 0.0318007i | −0.661540 | − | 0.749910i | \(-0.730097\pi\) |
0.623642 | + | 0.781710i | \(0.285652\pi\) | |||||||
\(888\) | 5.43271 | + | 7.18020i | 0.182310 | + | 0.240952i | ||||
\(889\) | −17.2382 | + | 6.27420i | −0.578151 | + | 0.210430i | ||||
\(890\) | −4.43285 | −0.148589 | ||||||||
\(891\) | 1.49337 | − | 1.68487i | 0.0500298 | − | 0.0564452i | ||||
\(892\) | −23.0662 | −0.772313 | ||||||||
\(893\) | 1.02248 | − | 0.372154i | 0.0342161 | − | 0.0124536i | ||||
\(894\) | 5.55911 | + | 7.34727i | 0.185925 | + | 0.245729i | ||||
\(895\) | 2.85833 | − | 2.39842i | 0.0955433 | − | 0.0801704i | ||||
\(896\) | 0.173648 | + | 0.984808i | 0.00580118 | + | 0.0329001i | ||||
\(897\) | −0.306617 | − | 0.198268i | −0.0102376 | − | 0.00661998i | ||||
\(898\) | 7.82024 | + | 6.56196i | 0.260965 | + | 0.218975i | ||||
\(899\) | 2.53283 | − | 4.38699i | 0.0844746 | − | 0.146314i | ||||
\(900\) | 9.63942 | + | 9.90413i | 0.321314 | + | 0.330138i | ||||
\(901\) | −1.05292 | − | 1.82371i | −0.0350779 | − | 0.0607567i | ||||
\(902\) | 0.525931 | − | 2.98270i | 0.0175116 | − | 0.0993132i | ||||
\(903\) | −2.31037 | − | 0.528636i | −0.0768844 | − | 0.0175919i | ||||
\(904\) | −4.63347 | − | 1.68645i | −0.154107 | − | 0.0560904i | ||||
\(905\) | −8.52547 | − | 3.10302i | −0.283396 | − | 0.103148i | ||||
\(906\) | −10.9731 | + | 11.8135i | −0.364558 | + | 0.392476i | ||||
\(907\) | −1.79393 | + | 10.1739i | −0.0595663 | + | 0.337817i | −0.999998 | − | 0.00216632i | \(-0.999310\pi\) |
0.940431 | + | 0.339984i | \(0.110422\pi\) | |||||||
\(908\) | −0.127995 | − | 0.221693i | −0.00424765 | − | 0.00735715i | ||||
\(909\) | −6.12319 | + | 4.16507i | −0.203093 | + | 0.138147i | ||||
\(910\) | 1.33109 | − | 2.30552i | 0.0441253 | − | 0.0764273i | ||||
\(911\) | 45.9420 | + | 38.5499i | 1.52213 | + | 1.27721i | 0.834251 | + | 0.551384i | \(0.185900\pi\) |
0.687874 | + | 0.725830i | \(0.258544\pi\) | |||||||
\(912\) | −0.213996 | + | 4.24193i | −0.00708612 | + | 0.140464i | ||||
\(913\) | 0.268851 | + | 1.52473i | 0.00889768 | + | 0.0504613i | ||||
\(914\) | −11.0213 | + | 9.24800i | −0.364553 | + | 0.305897i | ||||
\(915\) | −3.00134 | + | 0.374475i | −0.0992212 | + | 0.0123798i | ||||
\(916\) | −17.3377 | + | 6.31041i | −0.572854 | + | 0.208502i | ||||
\(917\) | 21.3410 | 0.704741 | ||||||||
\(918\) | −0.857031 | − | 0.289489i | −0.0282863 | − | 0.00955456i | ||||
\(919\) | −25.8803 | −0.853714 | −0.426857 | − | 0.904319i | \(-0.640379\pi\) | ||||
−0.426857 | + | 0.904319i | \(0.640379\pi\) | |||||||
\(920\) | −0.0292527 | + | 0.0106471i | −0.000964432 | + | 0.000351025i | ||||
\(921\) | −10.1456 | + | 24.0321i | −0.334309 | + | 0.791884i | ||||
\(922\) | −5.07554 | + | 4.25888i | −0.167154 | + | 0.140259i | ||||
\(923\) | −3.16284 | − | 17.9373i | −0.104106 | − | 0.590415i | ||||
\(924\) | 0.385677 | − | 0.197463i | 0.0126878 | − | 0.00649605i | ||||
\(925\) | 18.3455 | + | 15.3937i | 0.603196 | + | 0.506141i | ||||
\(926\) | −1.89541 | + | 3.28294i | −0.0622869 | + | 0.107884i | ||||
\(927\) | 32.5272 | + | 3.29023i | 1.06833 | + | 0.108065i | ||||
\(928\) | 0.338321 | + | 0.585990i | 0.0111059 | + | 0.0192360i | ||||
\(929\) | 5.39670 | − | 30.6062i | 0.177060 | − | 1.00416i | −0.758679 | − | 0.651465i | \(-0.774155\pi\) |
0.935739 | − | 0.352693i | \(-0.114734\pi\) | |||||||
\(930\) | 2.39223 | + | 7.77026i | 0.0784442 | + | 0.254797i | ||||
\(931\) | 2.30431 | + | 0.838700i | 0.0755207 | + | 0.0274873i | ||||
\(932\) | −22.1547 | − | 8.06364i | −0.725701 | − | 0.264133i | ||||
\(933\) | 15.9056 | + | 51.6635i | 0.520727 | + | 1.69139i | ||||
\(934\) | 2.34317 | − | 13.2888i | 0.0766708 | − | 0.434822i | ||||
\(935\) | −0.0136529 | − | 0.0236475i | −0.000446497 | − | 0.000773356i | ||||
\(936\) | −5.22642 | − | 11.6163i | −0.170831 | − | 0.379690i | ||||
\(937\) | 5.67749 | − | 9.83371i | 0.185476 | − | 0.321253i | −0.758261 | − | 0.651951i | \(-0.773951\pi\) |
0.943737 | + | 0.330698i | \(0.107284\pi\) | |||||||
\(938\) | 2.55910 | + | 2.14734i | 0.0835575 | + | 0.0701130i | ||||
\(939\) | 27.2394 | − | 13.9463i | 0.888925 | − | 0.455121i | ||||
\(940\) | 0.0483113 | + | 0.273987i | 0.00157574 | + | 0.00893646i | ||||
\(941\) | 2.25056 | − | 1.88844i | 0.0733661 | − | 0.0615615i | −0.605367 | − | 0.795946i | \(-0.706974\pi\) |
0.678733 | + | 0.734385i | \(0.262529\pi\) | |||||||
\(942\) | 4.77855 | − | 11.3190i | 0.155693 | − | 0.368794i | ||||
\(943\) | 0.564867 | − | 0.205595i | 0.0183946 | − | 0.00669509i | ||||
\(944\) | 4.88000 | 0.158830 | ||||||||
\(945\) | −0.490776 | + | 3.22077i | −0.0159649 | + | 0.104772i | ||||
\(946\) | −0.342309 | −0.0111294 | ||||||||
\(947\) | 17.7272 | − | 6.45217i | 0.576057 | − | 0.209667i | −0.0375292 | − | 0.999296i | \(-0.511949\pi\) |
0.613586 | + | 0.789628i | \(0.289726\pi\) | |||||||
\(948\) | −9.36774 | + | 1.16881i | −0.304250 | + | 0.0379611i | ||||
\(949\) | −32.0921 | + | 26.9285i | −1.04175 | + | 0.874136i | ||||
\(950\) | 1.96170 | + | 11.1253i | 0.0636459 | + | 0.360954i | ||||
\(951\) | −2.03571 | + | 40.3528i | −0.0660124 | + | 1.30853i | ||||
\(952\) | −0.133361 | − | 0.111904i | −0.00432227 | − | 0.00362681i | ||||
\(953\) | 16.8908 | − | 29.2558i | 0.547148 | − | 0.947688i | −0.451320 | − | 0.892362i | \(-0.649047\pi\) |
0.998468 | − | 0.0553263i | \(-0.0176199\pi\) | |||||||
\(954\) | 2.67288 | + | 36.1901i | 0.0865376 | + | 1.17170i | ||||
\(955\) | 2.21374 | + | 3.83431i | 0.0716350 | + | 0.124076i | ||||
\(956\) | −1.61209 | + | 9.14259i | −0.0521386 | + | 0.295693i | ||||
\(957\) | 0.199529 | − | 0.214809i | 0.00644987 | − | 0.00694380i | ||||
\(958\) | 12.9131 | + | 4.69999i | 0.417204 | + | 0.151850i | ||||
\(959\) | −5.21790 | − | 1.89916i | −0.168495 | − | 0.0613271i | ||||
\(960\) | −1.05862 | − | 0.242224i | −0.0341670 | − | 0.00781775i | ||||
\(961\) | 4.34939 | − | 24.6666i | 0.140303 | − | 0.795697i | ||||
\(962\) | −11.0361 | − | 19.1150i | −0.355817 | − | 0.616293i | ||||
\(963\) | 13.4140 | − | 47.4801i | 0.432261 | − | 1.53002i | ||||
\(964\) | 7.92754 | − | 13.7309i | 0.255329 | − | 0.442243i | ||||
\(965\) | −5.70567 | − | 4.78763i | −0.183672 | − | 0.154119i | ||||
\(966\) | 0.0722137 | + | 0.0466957i | 0.00232344 | + | 0.00150241i | ||||
\(967\) | −5.41447 | − | 30.7070i | −0.174118 | − | 0.987470i | −0.939157 | − | 0.343487i | \(-0.888392\pi\) |
0.765040 | − | 0.643983i | \(-0.222719\pi\) | |||||||
\(968\) | −8.37855 | + | 7.03044i | −0.269297 | + | 0.225967i | ||||
\(969\) | −0.446148 | − | 0.589657i | −0.0143323 | − | 0.0189425i | ||||
\(970\) | 8.97936 | − | 3.26822i | 0.288310 | − | 0.104936i | ||||
\(971\) | −17.9773 | −0.576919 | −0.288459 | − | 0.957492i | \(-0.593143\pi\) | ||||
−0.288459 | + | 0.957492i | \(0.593143\pi\) | |||||||
\(972\) | 11.1299 | + | 10.9144i | 0.356992 | + | 0.350081i | ||||
\(973\) | −0.885459 | −0.0283865 | ||||||||
\(974\) | −22.0038 | + | 8.00871i | −0.705046 | + | 0.256616i | ||||
\(975\) | −20.4424 | − | 27.0179i | −0.654679 | − | 0.865264i | ||||
\(976\) | −2.13354 | + | 1.79025i | −0.0682929 | + | 0.0573045i | ||||
\(977\) | −0.424980 | − | 2.41018i | −0.0135963 | − | 0.0771085i | 0.977255 | − | 0.212069i | \(-0.0680203\pi\) |
−0.990851 | + | 0.134961i | \(0.956909\pi\) | |||||||
\(978\) | 0.0959887 | + | 0.0620693i | 0.00306938 | + | 0.00198476i | ||||
\(979\) | 1.35485 | + | 1.13685i | 0.0433011 | + | 0.0363340i | ||||
\(980\) | −0.313496 | + | 0.542992i | −0.0100143 | + | 0.0173452i | ||||
\(981\) | 11.6306 | − | 41.1674i | 0.371335 | − | 1.31437i | ||||
\(982\) | −4.29358 | − | 7.43670i | −0.137014 | − | 0.237315i | ||||
\(983\) | 0.620277 | − | 3.51776i | 0.0197838 | − | 0.112199i | −0.973317 | − | 0.229466i | \(-0.926302\pi\) |
0.993100 | + | 0.117267i | \(0.0374132\pi\) | |||||||
\(984\) | 20.4420 | + | 4.67733i | 0.651666 | + | 0.149108i | ||||
\(985\) | 14.8350 | + | 5.39949i | 0.472681 | + | 0.172042i | ||||
\(986\) | −0.110693 | − | 0.0402891i | −0.00352519 | − | 0.00128307i | ||||
\(987\) | 0.523055 | − | 0.563111i | 0.0166490 | − | 0.0179240i | ||||
\(988\) | 1.80801 | − | 10.2537i | 0.0575205 | − | 0.326215i | ||||
\(989\) | −0.0339695 | − | 0.0588370i | −0.00108017 | − | 0.00187091i | ||||
\(990\) | 0.0346584 | + | 0.469265i | 0.00110152 | + | 0.0149142i | ||||
\(991\) | −24.6671 | + | 42.7247i | −0.783577 | + | 1.35720i | 0.146269 | + | 0.989245i | \(0.453274\pi\) |
−0.929846 | + | 0.367950i | \(0.880060\pi\) | |||||||
\(992\) | 5.73496 | + | 4.81221i | 0.182085 | + | 0.152788i | ||||
\(993\) | −1.16458 | + | 23.0849i | −0.0369569 | + | 0.732577i | ||||
\(994\) | 0.744905 | + | 4.22457i | 0.0236270 | + | 0.133995i | ||||
\(995\) | −3.70107 | + | 3.10557i | −0.117332 | + | 0.0984531i | ||||
\(996\) | −10.6373 | + | 1.32721i | −0.337057 | + | 0.0420543i | ||||
\(997\) | 15.8756 | − | 5.77823i | 0.502784 | − | 0.182998i | −0.0781618 | − | 0.996941i | \(-0.524905\pi\) |
0.580946 | + | 0.813942i | \(0.302683\pi\) | |||||||
\(998\) | −33.0714 | −1.04686 | ||||||||
\(999\) | 21.0913 | + | 16.8755i | 0.667298 | + | 0.533918i |
(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 | 378.2.u.b.169.1 | yes | 12 | |
27.4 | even | 9 | inner | 378.2.u.b.85.1 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.b.85.1 | ✓ | 12 | 27.4 | even | 9 | inner | |
378.2.u.b.169.1 | yes | 12 | 1.1 | even | 1 | trivial |