Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,2,Mod(19,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.o (of order \(6\), degree \(2\), 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: | \(0.670743376979\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.562828176.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + x^{6} + 2x^{5} - 6x^{4} + 4x^{3} + 4x^{2} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Root | \(1.40376 + 0.171630i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 84.19 |
Dual form | 84.2.o.b.31.3 |
$q$-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 \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.553244 | − | 1.30151i | 0.391203 | − | 0.920305i | ||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | −1.38784 | − | 1.44010i | −0.693921 | − | 0.720051i | ||||
\(5\) | 0.834598 | + | 0.481855i | 0.373244 | + | 0.215492i | 0.674875 | − | 0.737932i | \(-0.264198\pi\) |
−0.301631 | + | 0.953425i | \(0.597531\pi\) | |||||||
\(6\) | 1.40376 | − | 0.171630i | 0.573083 | − | 0.0700677i | ||||
\(7\) | 1.20103 | − | 2.35744i | 0.453948 | − | 0.891028i | ||||
\(8\) | −2.64212 | + | 1.00956i | −0.934130 | + | 0.356933i | ||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 1.08887 | − | 0.819652i | 0.344332 | − | 0.259197i | ||||
\(11\) | −4.74861 | + | 2.74161i | −1.43176 | + | 0.826626i | −0.997255 | − | 0.0740437i | \(-0.976410\pi\) |
−0.434504 | + | 0.900670i | \(0.643076\pi\) | |||||||
\(12\) | 0.553244 | − | 1.92196i | 0.159708 | − | 0.554821i | ||||
\(13\) | 3.75117i | 1.04039i | 0.854048 | + | 0.520193i | \(0.174140\pi\) | ||||
−0.854048 | + | 0.520193i | \(0.825860\pi\) | |||||||
\(14\) | −2.40376 | − | 2.86739i | −0.642432 | − | 0.766343i | ||||
\(15\) | 0.963711i | 0.248829i | ||||||||
\(16\) | −0.147789 | + | 3.99727i | −0.0369471 | + | 0.999317i | ||||
\(17\) | −0.594545 | + | 0.343260i | −0.144198 | + | 0.0832529i | −0.570363 | − | 0.821393i | \(-0.693198\pi\) |
0.426165 | + | 0.904645i | \(0.359864\pi\) | |||||||
\(18\) | 0.850516 | + | 1.12988i | 0.200469 | + | 0.266315i | ||||
\(19\) | 2.44109 | − | 4.22809i | 0.560024 | − | 0.969989i | −0.437470 | − | 0.899233i | \(-0.644125\pi\) |
0.997494 | − | 0.0707563i | \(-0.0225413\pi\) | |||||||
\(20\) | −0.464369 | − | 1.87065i | −0.103836 | − | 0.418289i | ||||
\(21\) | 2.64212 | − | 0.138595i | 0.576558 | − | 0.0302439i | ||||
\(22\) | 0.941086 | + | 7.69713i | 0.200640 | + | 1.64103i | ||||
\(23\) | 1.07465 | + | 0.620450i | 0.224080 | + | 0.129373i | 0.607838 | − | 0.794061i | \(-0.292037\pi\) |
−0.383758 | + | 0.923434i | \(0.625370\pi\) | |||||||
\(24\) | −2.19536 | − | 1.78336i | −0.448127 | − | 0.364027i | ||||
\(25\) | −2.03563 | − | 3.52582i | −0.407126 | − | 0.705163i | ||||
\(26\) | 4.88217 | + | 2.07531i | 0.957473 | + | 0.407002i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −5.06180 | + | 1.54214i | −0.956590 | + | 0.291438i | ||||
\(29\) | −2.48011 | −0.460544 | −0.230272 | − | 0.973126i | \(-0.573962\pi\) | ||||
−0.230272 | + | 0.973126i | \(0.573962\pi\) | |||||||
\(30\) | 1.25428 | + | 0.533167i | 0.228999 | + | 0.0973426i | ||||
\(31\) | 2.41401 | + | 4.18119i | 0.433569 | + | 0.750963i | 0.997178 | − | 0.0750787i | \(-0.0239208\pi\) |
−0.563609 | + | 0.826042i | \(0.690587\pi\) | |||||||
\(32\) | 5.12071 | + | 2.40381i | 0.905222 | + | 0.424938i | ||||
\(33\) | −4.74861 | − | 2.74161i | −0.826626 | − | 0.477253i | ||||
\(34\) | 0.117828 | + | 0.963711i | 0.0202073 | + | 0.165275i | ||||
\(35\) | 2.13832 | − | 1.38879i | 0.361443 | − | 0.234748i | ||||
\(36\) | 1.94109 | − | 0.481855i | 0.323514 | − | 0.0803092i | ||||
\(37\) | 1.36643 | − | 2.36673i | 0.224640 | − | 0.389089i | −0.731571 | − | 0.681765i | \(-0.761213\pi\) |
0.956212 | + | 0.292677i | \(0.0945459\pi\) | |||||||
\(38\) | −4.15237 | − | 5.51625i | −0.673603 | − | 0.894855i | ||||
\(39\) | −3.24861 | + | 1.87558i | −0.520193 | + | 0.300334i | ||||
\(40\) | −2.69157 | − | 0.430544i | −0.425574 | − | 0.0680749i | ||||
\(41\) | − | 9.42976i | − | 1.47268i | −0.676611 | − | 0.736340i | \(-0.736552\pi\) | ||
0.676611 | − | 0.736340i | \(-0.263448\pi\) | |||||||
\(42\) | 1.28135 | − | 3.51541i | 0.197717 | − | 0.542440i | ||||
\(43\) | − | 5.97437i | − | 0.911083i | −0.890215 | − | 0.455541i | \(-0.849446\pi\) | ||
0.890215 | − | 0.455541i | \(-0.150554\pi\) | |||||||
\(44\) | 10.5385 | + | 3.03356i | 1.58874 | + | 0.457326i | ||||
\(45\) | −0.834598 | + | 0.481855i | −0.124415 | + | 0.0718308i | ||||
\(46\) | 1.40207 | − | 1.05541i | 0.206723 | − | 0.155611i | ||||
\(47\) | 1.80752 | − | 3.13072i | 0.263654 | − | 0.456662i | −0.703556 | − | 0.710640i | \(-0.748406\pi\) |
0.967210 | + | 0.253978i | \(0.0817390\pi\) | |||||||
\(48\) | −3.53563 | + | 1.87065i | −0.510324 | + | 0.270004i | ||||
\(49\) | −4.11504 | − | 5.66272i | −0.587863 | − | 0.808960i | ||||
\(50\) | −5.71508 | + | 0.698752i | −0.808234 | + | 0.0988184i | ||||
\(51\) | −0.594545 | − | 0.343260i | −0.0832529 | − | 0.0480661i | ||||
\(52\) | 5.40207 | − | 5.20603i | 0.749132 | − | 0.721946i | ||||
\(53\) | 2.04757 | + | 3.54650i | 0.281256 | + | 0.487150i | 0.971694 | − | 0.236242i | \(-0.0759157\pi\) |
−0.690438 | + | 0.723391i | \(0.742582\pi\) | |||||||
\(54\) | −0.553244 | + | 1.30151i | −0.0752870 | + | 0.177113i | ||||
\(55\) | −5.28424 | −0.712526 | ||||||||
\(56\) | −0.793298 | + | 7.44115i | −0.106009 | + | 0.994365i | ||||
\(57\) | 4.88217 | 0.646660 | ||||||||
\(58\) | −1.37210 | + | 3.22788i | −0.180166 | + | 0.423841i | ||||
\(59\) | 6.34315 | + | 10.9867i | 0.825808 | + | 1.43034i | 0.901300 | + | 0.433195i | \(0.142614\pi\) |
−0.0754923 | + | 0.997146i | \(0.524053\pi\) | |||||||
\(60\) | 1.38784 | − | 1.33748i | 0.179170 | − | 0.172668i | ||||
\(61\) | 9.01711 | + | 5.20603i | 1.15452 | + | 0.666564i | 0.949985 | − | 0.312295i | \(-0.101098\pi\) |
0.204537 | + | 0.978859i | \(0.434431\pi\) | |||||||
\(62\) | 6.77738 | − | 0.828634i | 0.860728 | − | 0.105237i | ||||
\(63\) | 1.44109 | + | 2.21884i | 0.181560 | + | 0.279548i | ||||
\(64\) | 5.96158 | − | 5.33475i | 0.745198 | − | 0.666843i | ||||
\(65\) | −1.80752 | + | 3.13072i | −0.224195 | + | 0.388318i | ||||
\(66\) | −6.19536 | + | 4.66357i | −0.762596 | + | 0.574045i | ||||
\(67\) | −8.17396 | + | 4.71924i | −0.998608 | + | 0.576546i | −0.907836 | − | 0.419325i | \(-0.862267\pi\) |
−0.0907716 | + | 0.995872i | \(0.528933\pi\) | |||||||
\(68\) | 1.31946 | + | 0.379814i | 0.160009 | + | 0.0460592i | ||||
\(69\) | 1.24090i | 0.149387i | ||||||||
\(70\) | −0.624505 | − | 3.55138i | −0.0746427 | − | 0.424472i | ||||
\(71\) | − | 10.1163i | − | 1.20058i | −0.799782 | − | 0.600291i | \(-0.795052\pi\) | ||
0.799782 | − | 0.600291i | \(-0.204948\pi\) | |||||||
\(72\) | 0.446756 | − | 2.79292i | 0.0526507 | − | 0.329149i | ||||
\(73\) | −5.76850 | + | 3.33044i | −0.675152 | + | 0.389799i | −0.798026 | − | 0.602623i | \(-0.794122\pi\) |
0.122874 | + | 0.992422i | \(0.460789\pi\) | |||||||
\(74\) | −2.32435 | − | 3.08781i | −0.270200 | − | 0.358950i | ||||
\(75\) | 2.03563 | − | 3.52582i | 0.235054 | − | 0.407126i | ||||
\(76\) | −9.47672 | + | 2.35250i | −1.08705 | + | 0.269850i | ||||
\(77\) | 0.759946 | + | 14.4873i | 0.0866039 | + | 1.65098i | ||||
\(78\) | 0.643814 | + | 5.26574i | 0.0728976 | + | 0.596228i | ||||
\(79\) | −1.22492 | − | 0.707208i | −0.137814 | − | 0.0795671i | 0.429508 | − | 0.903063i | \(-0.358687\pi\) |
−0.567322 | + | 0.823496i | \(0.692020\pi\) | |||||||
\(80\) | −2.04945 | + | 3.26490i | −0.229135 | + | 0.365027i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −12.2729 | − | 5.21696i | −1.35531 | − | 0.576117i | ||||
\(83\) | −0.543780 | −0.0596876 | −0.0298438 | − | 0.999555i | \(-0.509501\pi\) | ||||
−0.0298438 | + | 0.999555i | \(0.509501\pi\) | |||||||
\(84\) | −3.86643 | − | 3.61257i | −0.421863 | − | 0.394164i | ||||
\(85\) | −0.661608 | −0.0717614 | ||||||||
\(86\) | −7.77568 | − | 3.30528i | −0.838474 | − | 0.356418i | ||||
\(87\) | −1.24005 | − | 2.14784i | −0.132948 | − | 0.230272i | ||||
\(88\) | 9.77857 | − | 12.0377i | 1.04240 | − | 1.28322i | ||||
\(89\) | 0.480107 | + | 0.277190i | 0.0508912 | + | 0.0293821i | 0.525230 | − | 0.850960i | \(-0.323979\pi\) |
−0.474339 | + | 0.880343i | \(0.657313\pi\) | |||||||
\(90\) | 0.165402 | + | 1.35282i | 0.0174349 | + | 0.142600i | ||||
\(91\) | 8.84315 | + | 4.50528i | 0.927014 | + | 0.472281i | ||||
\(92\) | −0.597935 | − | 2.40870i | −0.0623390 | − | 0.251124i | ||||
\(93\) | −2.41401 | + | 4.18119i | −0.250321 | + | 0.433569i | ||||
\(94\) | −3.07465 | − | 4.08455i | −0.317126 | − | 0.421289i | ||||
\(95\) | 4.07465 | − | 2.35250i | 0.418050 | − | 0.241362i | ||||
\(96\) | 0.478592 | + | 5.63657i | 0.0488461 | + | 0.575280i | ||||
\(97\) | 10.8747i | 1.10416i | 0.833790 | + | 0.552081i | \(0.186166\pi\) | ||||
−0.833790 | + | 0.552081i | \(0.813834\pi\) | |||||||
\(98\) | −9.64670 | + | 2.22289i | −0.974464 | + | 0.224546i | ||||
\(99\) | − | 5.48322i | − | 0.551084i | ||||||
\(100\) | −2.25240 | + | 7.82479i | −0.225240 | + | 0.782479i | ||||
\(101\) | 12.4972 | − | 7.21527i | 1.24352 | − | 0.717946i | 0.273710 | − | 0.961812i | \(-0.411749\pi\) |
0.969809 | + | 0.243866i | \(0.0784157\pi\) | |||||||
\(102\) | −0.775684 | + | 0.583897i | −0.0768042 | + | 0.0578144i | ||||
\(103\) | −7.51235 | + | 13.0118i | −0.740214 | + | 1.28209i | 0.212184 | + | 0.977230i | \(0.431942\pi\) |
−0.952398 | + | 0.304858i | \(0.901391\pi\) | |||||||
\(104\) | −3.78702 | − | 9.91103i | −0.371348 | − | 0.971857i | ||||
\(105\) | 2.27189 | + | 1.15745i | 0.221714 | + | 0.112955i | ||||
\(106\) | 5.74861 | − | 0.702851i | 0.558354 | − | 0.0682669i | ||||
\(107\) | −10.4925 | − | 6.05782i | −1.01434 | − | 0.585632i | −0.101883 | − | 0.994796i | \(-0.532487\pi\) |
−0.912461 | + | 0.409165i | \(0.865820\pi\) | |||||||
\(108\) | 1.38784 | + | 1.44010i | 0.133545 | + | 0.138574i | ||||
\(109\) | 3.03563 | + | 5.25787i | 0.290761 | + | 0.503612i | 0.973990 | − | 0.226592i | \(-0.0727583\pi\) |
−0.683229 | + | 0.730204i | \(0.739425\pi\) | |||||||
\(110\) | −2.92347 | + | 6.87747i | −0.278742 | + | 0.655741i | ||||
\(111\) | 2.73287 | 0.259392 | ||||||||
\(112\) | 9.24582 | + | 5.14925i | 0.873648 | + | 0.486559i | ||||
\(113\) | −7.37939 | −0.694194 | −0.347097 | − | 0.937829i | \(-0.612833\pi\) | ||||
−0.347097 | + | 0.937829i | \(0.612833\pi\) | |||||||
\(114\) | 2.70103 | − | 6.35418i | 0.252975 | − | 0.595124i | ||||
\(115\) | 0.597935 | + | 1.03565i | 0.0557577 | + | 0.0965752i | ||||
\(116\) | 3.44200 | + | 3.57161i | 0.319581 | + | 0.331615i | ||||
\(117\) | −3.24861 | − | 1.87558i | −0.300334 | − | 0.173398i | ||||
\(118\) | 17.8085 | − | 2.17735i | 1.63941 | − | 0.200442i | ||||
\(119\) | 0.0951483 | + | 1.81387i | 0.00872223 | + | 0.166277i | ||||
\(120\) | −0.972923 | − | 2.54624i | −0.0888153 | − | 0.232439i | ||||
\(121\) | 9.53284 | − | 16.5114i | 0.866622 | − | 1.50103i | ||||
\(122\) | 11.7643 | − | 8.85562i | 1.06509 | − | 0.801751i | ||||
\(123\) | 8.16641 | − | 4.71488i | 0.736340 | − | 0.425126i | ||||
\(124\) | 2.67107 | − | 9.27924i | 0.239869 | − | 0.833301i | ||||
\(125\) | − | 8.74207i | − | 0.781915i | ||||||
\(126\) | 3.68511 | − | 0.648022i | 0.328296 | − | 0.0577303i | ||||
\(127\) | 11.6431i | 1.03316i | 0.856240 | + | 0.516578i | \(0.172794\pi\) | ||||
−0.856240 | + | 0.516578i | \(0.827206\pi\) | |||||||
\(128\) | −3.64500 | − | 10.7105i | −0.322176 | − | 0.946680i | ||||
\(129\) | 5.17396 | − | 2.98718i | 0.455541 | − | 0.263007i | ||||
\(130\) | 3.07465 | + | 4.08455i | 0.269665 | + | 0.358239i | ||||
\(131\) | −4.63078 | + | 8.02074i | −0.404593 | + | 0.700776i | −0.994274 | − | 0.106861i | \(-0.965920\pi\) |
0.589681 | + | 0.807636i | \(0.299253\pi\) | |||||||
\(132\) | 2.64212 | + | 10.6434i | 0.229967 | + | 0.926389i | ||||
\(133\) | −7.03563 | − | 10.8328i | −0.610067 | − | 0.939321i | ||||
\(134\) | 1.61993 | + | 13.2494i | 0.139940 | + | 1.14457i | ||||
\(135\) | −0.834598 | − | 0.481855i | −0.0718308 | − | 0.0414715i | ||||
\(136\) | 1.22432 | − | 1.50716i | 0.104984 | − | 0.129238i | ||||
\(137\) | −3.61504 | − | 6.26144i | −0.308854 | − | 0.534951i | 0.669258 | − | 0.743030i | \(-0.266612\pi\) |
−0.978112 | + | 0.208080i | \(0.933279\pi\) | |||||||
\(138\) | 1.61504 | + | 0.686521i | 0.137481 | + | 0.0584405i | ||||
\(139\) | 5.30812 | 0.450229 | 0.225115 | − | 0.974332i | \(-0.427724\pi\) | ||||
0.225115 | + | 0.974332i | \(0.427724\pi\) | |||||||
\(140\) | −4.96766 | − | 1.15198i | −0.419844 | − | 0.0973604i | ||||
\(141\) | 3.61504 | 0.304441 | ||||||||
\(142\) | −13.1664 | − | 5.59677i | −1.10490 | − | 0.469671i | ||||
\(143\) | −10.2842 | − | 17.8128i | −0.860011 | − | 1.48958i | ||||
\(144\) | −3.38784 | − | 2.12662i | −0.282320 | − | 0.177219i | ||||
\(145\) | −2.06989 | − | 1.19505i | −0.171895 | − | 0.0992438i | ||||
\(146\) | 1.14321 | + | 9.35029i | 0.0946127 | + | 0.773836i | ||||
\(147\) | 2.84654 | − | 6.39509i | 0.234779 | − | 0.527458i | ||||
\(148\) | −5.30473 | + | 1.31685i | −0.436046 | + | 0.108244i | ||||
\(149\) | −2.33080 | + | 4.03707i | −0.190947 | + | 0.330730i | −0.945564 | − | 0.325435i | \(-0.894489\pi\) |
0.754617 | + | 0.656165i | \(0.227822\pi\) | |||||||
\(150\) | −3.46267 | − | 4.60002i | −0.282726 | − | 0.375590i | ||||
\(151\) | 10.5709 | − | 6.10309i | 0.860244 | − | 0.496662i | −0.00384988 | − | 0.999993i | \(-0.501225\pi\) |
0.864094 | + | 0.503330i | \(0.167892\pi\) | |||||||
\(152\) | −2.18114 | + | 13.6355i | −0.176914 | + | 1.10599i | ||||
\(153\) | − | 0.686521i | − | 0.0555019i | ||||||
\(154\) | 19.2758 | + | 7.02594i | 1.55329 | + | 0.566167i | ||||
\(155\) | 4.65281i | 0.373723i | ||||||||
\(156\) | 7.20959 | + | 2.07531i | 0.577229 | + | 0.166158i | ||||
\(157\) | −18.9944 | + | 10.9664i | −1.51592 | + | 0.875217i | −0.516095 | + | 0.856531i | \(0.672615\pi\) |
−0.999825 | + | 0.0186856i | \(0.994052\pi\) | |||||||
\(158\) | −1.59812 | + | 1.20298i | −0.127139 | + | 0.0957042i | ||||
\(159\) | −2.04757 | + | 3.54650i | −0.162383 | + | 0.281256i | ||||
\(160\) | 3.11545 | + | 4.47366i | 0.246298 | + | 0.353674i | ||||
\(161\) | 2.75337 | − | 1.78824i | 0.216996 | − | 0.140933i | ||||
\(162\) | −1.40376 | + | 0.171630i | −0.110290 | + | 0.0134845i | ||||
\(163\) | −3.48011 | − | 2.00924i | −0.272583 | − | 0.157376i | 0.357478 | − | 0.933922i | \(-0.383637\pi\) |
−0.630061 | + | 0.776546i | \(0.716970\pi\) | |||||||
\(164\) | −13.5798 | + | 13.0870i | −1.06041 | + | 1.02192i | ||||
\(165\) | −2.64212 | − | 4.57628i | −0.205689 | − | 0.356263i | ||||
\(166\) | −0.300843 | + | 0.707734i | −0.0233499 | + | 0.0549308i | ||||
\(167\) | 14.7178 | 1.13890 | 0.569448 | − | 0.822027i | \(-0.307157\pi\) | ||||
0.569448 | + | 0.822027i | \(0.307157\pi\) | |||||||
\(168\) | −6.84087 | + | 3.03356i | −0.527785 | + | 0.234044i | ||||
\(169\) | −1.07126 | −0.0824047 | ||||||||
\(170\) | −0.366030 | + | 0.861087i | −0.0280733 | + | 0.0660424i | ||||
\(171\) | 2.44109 | + | 4.22809i | 0.186675 | + | 0.323330i | ||||
\(172\) | −8.60370 | + | 8.29148i | −0.656026 | + | 0.632219i | ||||
\(173\) | −10.0918 | − | 5.82648i | −0.767262 | − | 0.442979i | 0.0646349 | − | 0.997909i | \(-0.479412\pi\) |
−0.831897 | + | 0.554930i | \(0.812745\pi\) | |||||||
\(174\) | −3.48148 | + | 0.425661i | −0.263930 | + | 0.0322693i | ||||
\(175\) | −10.7568 | + | 0.564256i | −0.813134 | + | 0.0426538i | ||||
\(176\) | −10.2572 | − | 19.3866i | −0.773163 | − | 1.46132i | ||||
\(177\) | −6.34315 | + | 10.9867i | −0.476780 | + | 0.825808i | ||||
\(178\) | 0.626381 | − | 0.471509i | 0.0469492 | − | 0.0353411i | ||||
\(179\) | −2.24663 | + | 1.29709i | −0.167921 | + | 0.0969494i | −0.581605 | − | 0.813471i | \(-0.697575\pi\) |
0.413684 | + | 0.910421i | \(0.364242\pi\) | |||||||
\(180\) | 1.85221 | + | 0.533167i | 0.138056 | + | 0.0397399i | ||||
\(181\) | − | 9.53343i | − | 0.708615i | −0.935129 | − | 0.354307i | \(-0.884717\pi\) | ||
0.935129 | − | 0.354307i | \(-0.115283\pi\) | |||||||
\(182\) | 10.7561 | − | 9.01691i | 0.797293 | − | 0.668378i | ||||
\(183\) | 10.4121i | 0.769681i | ||||||||
\(184\) | −3.46574 | − | 0.554380i | −0.255498 | − | 0.0408694i | ||||
\(185\) | 2.28085 | − | 1.31685i | 0.167691 | − | 0.0968166i | ||||
\(186\) | 4.10631 | + | 5.45507i | 0.301089 | + | 0.399985i | ||||
\(187\) | 1.88217 | − | 3.26002i | 0.137638 | − | 0.238396i | ||||
\(188\) | −7.01711 | + | 1.74193i | −0.511775 | + | 0.127043i | ||||
\(189\) | −1.20103 | + | 2.35744i | −0.0873623 | + | 0.171478i | ||||
\(190\) | −0.807521 | − | 6.60470i | −0.0585837 | − | 0.479155i | ||||
\(191\) | 7.21637 | + | 4.16637i | 0.522158 | + | 0.301468i | 0.737817 | − | 0.675001i | \(-0.235857\pi\) |
−0.215659 | + | 0.976469i | \(0.569190\pi\) | |||||||
\(192\) | 7.60082 | + | 2.49551i | 0.548542 | + | 0.180098i | ||||
\(193\) | 6.18630 | + | 10.7150i | 0.445300 | + | 0.771282i | 0.998073 | − | 0.0620498i | \(-0.0197638\pi\) |
−0.552773 | + | 0.833332i | \(0.686430\pi\) | |||||||
\(194\) | 14.1536 | + | 6.01639i | 1.01617 | + | 0.431951i | ||||
\(195\) | −3.61504 | −0.258878 | ||||||||
\(196\) | −2.44387 | + | 13.7850i | −0.174562 | + | 0.984646i | ||||
\(197\) | 3.23686 | 0.230617 | 0.115308 | − | 0.993330i | \(-0.463214\pi\) | ||||
0.115308 | + | 0.993330i | \(0.463214\pi\) | |||||||
\(198\) | −7.13645 | − | 3.03356i | −0.507165 | − | 0.215586i | ||||
\(199\) | −9.61504 | − | 16.6537i | −0.681592 | − | 1.18055i | −0.974495 | − | 0.224410i | \(-0.927955\pi\) |
0.292903 | − | 0.956142i | \(-0.405379\pi\) | |||||||
\(200\) | 8.93790 | + | 7.26054i | 0.632005 | + | 0.513397i | ||||
\(201\) | −8.17396 | − | 4.71924i | −0.576546 | − | 0.332869i | ||||
\(202\) | −2.47672 | − | 20.2570i | −0.174261 | − | 1.42528i | ||||
\(203\) | −2.97869 | + | 5.84670i | −0.209063 | + | 0.410358i | ||||
\(204\) | 0.330804 | + | 1.33260i | 0.0231609 | + | 0.0933004i | ||||
\(205\) | 4.54378 | − | 7.87006i | 0.317351 | − | 0.549669i | ||||
\(206\) | 12.7787 | + | 16.9761i | 0.890338 | + | 1.18278i | ||||
\(207\) | −1.07465 | + | 0.620450i | −0.0746934 | + | 0.0431243i | ||||
\(208\) | −14.9944 | − | 0.554380i | −1.03968 | − | 0.0384393i | ||||
\(209\) | 26.7700i | 1.85172i | ||||||||
\(210\) | 2.76334 | − | 2.31653i | 0.190688 | − | 0.159856i | ||||
\(211\) | − | 9.24637i | − | 0.636546i | −0.947999 | − | 0.318273i | \(-0.896897\pi\) | ||
0.947999 | − | 0.318273i | \(-0.103103\pi\) | |||||||
\(212\) | 2.26562 | − | 7.87070i | 0.155603 | − | 0.540562i | ||||
\(213\) | 8.76095 | − | 5.05814i | 0.600291 | − | 0.346578i | ||||
\(214\) | −13.6892 | + | 10.3046i | −0.935773 | + | 0.704405i | ||||
\(215\) | 2.87878 | − | 4.98620i | 0.196331 | − | 0.340056i | ||||
\(216\) | 2.64212 | − | 1.00956i | 0.179773 | − | 0.0686918i | ||||
\(217\) | 12.7562 | − | 0.669139i | 0.865947 | − | 0.0454241i | ||||
\(218\) | 8.52260 | − | 1.04201i | 0.577223 | − | 0.0705740i | ||||
\(219\) | −5.76850 | − | 3.33044i | −0.389799 | − | 0.225051i | ||||
\(220\) | 7.33369 | + | 7.60984i | 0.494437 | + | 0.513055i | ||||
\(221\) | −1.28763 | − | 2.23024i | −0.0866152 | − | 0.150022i | ||||
\(222\) | 1.51194 | − | 3.55685i | 0.101475 | − | 0.238720i | ||||
\(223\) | 1.94585 | 0.130303 | 0.0651517 | − | 0.997875i | \(-0.479247\pi\) | ||||
0.0651517 | + | 0.997875i | \(0.479247\pi\) | |||||||
\(224\) | 11.8170 | − | 9.18471i | 0.789556 | − | 0.613679i | ||||
\(225\) | 4.07126 | 0.271417 | ||||||||
\(226\) | −4.08260 | + | 9.60432i | −0.271571 | + | 0.638870i | ||||
\(227\) | 4.32265 | + | 7.48706i | 0.286905 | + | 0.496933i | 0.973069 | − | 0.230513i | \(-0.0740404\pi\) |
−0.686165 | + | 0.727446i | \(0.740707\pi\) | |||||||
\(228\) | −6.77568 | − | 7.03083i | −0.448731 | − | 0.465628i | ||||
\(229\) | 14.5396 | + | 8.39446i | 0.960805 | + | 0.554721i | 0.896421 | − | 0.443204i | \(-0.146158\pi\) |
0.0643846 | + | 0.997925i | \(0.479492\pi\) | |||||||
\(230\) | 1.67871 | − | 0.205247i | 0.110691 | − | 0.0135336i | ||||
\(231\) | −12.1664 | + | 7.90179i | −0.800491 | + | 0.519900i | ||||
\(232\) | 6.55274 | − | 2.50381i | 0.430208 | − | 0.164383i | ||||
\(233\) | 0.523283 | − | 0.906353i | 0.0342814 | − | 0.0593772i | −0.848376 | − | 0.529395i | \(-0.822419\pi\) |
0.882657 | + | 0.470018i | \(0.155752\pi\) | |||||||
\(234\) | −4.23836 | + | 3.19043i | −0.277070 | + | 0.208565i | ||||
\(235\) | 3.01711 | − | 1.74193i | 0.196814 | − | 0.113631i | ||||
\(236\) | 7.01862 | − | 24.3825i | 0.456873 | − | 1.58717i | ||||
\(237\) | − | 1.41442i | − | 0.0918761i | ||||||
\(238\) | 2.41340 | + | 0.879676i | 0.156438 | + | 0.0570210i | ||||
\(239\) | 19.2479i | 1.24505i | 0.782602 | + | 0.622523i | \(0.213892\pi\) | ||||
−0.782602 | + | 0.622523i | \(0.786108\pi\) | |||||||
\(240\) | −3.85221 | − | 0.142425i | −0.248659 | − | 0.00919352i | ||||
\(241\) | −2.38754 | + | 1.37844i | −0.153795 | + | 0.0887934i | −0.574922 | − | 0.818208i | \(-0.694968\pi\) |
0.421128 | + | 0.907001i | \(0.361634\pi\) | |||||||
\(242\) | −16.2157 | − | 21.5419i | −1.04238 | − | 1.38476i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −5.01711 | − | 20.2107i | −0.321187 | − | 1.29386i | ||||
\(245\) | −0.705792 | − | 6.70895i | −0.0450914 | − | 0.428619i | ||||
\(246\) | −1.61843 | − | 13.2371i | −0.103187 | − | 0.843968i | ||||
\(247\) | 15.8603 | + | 9.15692i | 1.00916 | + | 0.582641i | ||||
\(248\) | −10.5992 | − | 8.61011i | −0.673053 | − | 0.546742i | ||||
\(249\) | −0.271890 | − | 0.470927i | −0.0172303 | − | 0.0298438i | ||||
\(250\) | −11.3779 | − | 4.83650i | −0.719600 | − | 0.305887i | ||||
\(251\) | −20.7493 | −1.30968 | −0.654841 | − | 0.755767i | \(-0.727264\pi\) | ||||
−0.654841 | + | 0.755767i | \(0.727264\pi\) | |||||||
\(252\) | 1.19536 | − | 5.15472i | 0.0753008 | − | 0.324717i | ||||
\(253\) | −6.80413 | −0.427772 | ||||||||
\(254\) | 15.1536 | + | 6.44147i | 0.950819 | + | 0.404173i | ||||
\(255\) | −0.330804 | − | 0.572969i | −0.0207157 | − | 0.0358807i | ||||
\(256\) | −15.9563 | − | 1.18150i | −0.997270 | − | 0.0738438i | ||||
\(257\) | 6.45283 | + | 3.72554i | 0.402516 | + | 0.232393i | 0.687569 | − | 0.726119i | \(-0.258678\pi\) |
−0.285053 | + | 0.958512i | \(0.592011\pi\) | |||||||
\(258\) | −1.02538 | − | 8.38658i | −0.0638375 | − | 0.522126i | ||||
\(259\) | −3.93830 | − | 6.06381i | −0.244714 | − | 0.376787i | ||||
\(260\) | 7.01711 | − | 1.74193i | 0.435182 | − | 0.108030i | ||||
\(261\) | 1.24005 | − | 2.14784i | 0.0767574 | − | 0.132948i | ||||
\(262\) | 7.87711 | + | 10.4644i | 0.486649 | + | 0.646494i | ||||
\(263\) | 25.7034 | − | 14.8399i | 1.58494 | − | 0.915066i | 0.590818 | − | 0.806805i | \(-0.298805\pi\) |
0.994123 | − | 0.108260i | \(-0.0345280\pi\) | |||||||
\(264\) | 15.3142 | + | 2.44966i | 0.942524 | + | 0.150766i | ||||
\(265\) | 3.94654i | 0.242434i | ||||||||
\(266\) | −17.9914 | + | 3.16375i | −1.10312 | + | 0.193982i | ||||
\(267\) | 0.554380i | 0.0339275i | ||||||||
\(268\) | 18.1403 | + | 5.22178i | 1.10810 | + | 0.318971i | ||||
\(269\) | −3.73727 | + | 2.15771i | −0.227865 | + | 0.131558i | −0.609587 | − | 0.792719i | \(-0.708665\pi\) |
0.381722 | + | 0.924277i | \(0.375331\pi\) | |||||||
\(270\) | −1.08887 | + | 0.819652i | −0.0662668 | + | 0.0498824i | ||||
\(271\) | 6.79142 | − | 11.7631i | 0.412550 | − | 0.714557i | −0.582618 | − | 0.812746i | \(-0.697972\pi\) |
0.995168 | + | 0.0981892i | \(0.0313050\pi\) | |||||||
\(272\) | −1.28424 | − | 2.42728i | −0.0778683 | − | 0.147176i | ||||
\(273\) | 0.519893 | + | 9.91103i | 0.0314654 | + | 0.599843i | ||||
\(274\) | −10.1493 | + | 1.24090i | −0.613142 | + | 0.0749656i | ||||
\(275\) | 19.3328 | + | 11.1618i | 1.16581 | + | 0.673082i | ||||
\(276\) | 1.78702 | − | 1.72217i | 0.107566 | − | 0.103663i | ||||
\(277\) | −1.03563 | − | 1.79376i | −0.0622250 | − | 0.107777i | 0.833235 | − | 0.552920i | \(-0.186486\pi\) |
−0.895460 | + | 0.445143i | \(0.853153\pi\) | |||||||
\(278\) | 2.93669 | − | 6.90856i | 0.176131 | − | 0.414348i | ||||
\(279\) | −4.82802 | −0.289046 | ||||||||
\(280\) | −4.24764 | + | 5.82811i | −0.253845 | + | 0.348296i | ||||
\(281\) | 23.7122 | 1.41455 | 0.707276 | − | 0.706938i | \(-0.249924\pi\) | ||||
0.707276 | + | 0.706938i | \(0.249924\pi\) | |||||||
\(282\) | 2.00000 | − | 4.70500i | 0.119098 | − | 0.280179i | ||||
\(283\) | −6.12739 | − | 10.6129i | −0.364235 | − | 0.630874i | 0.624418 | − | 0.781091i | \(-0.285336\pi\) |
−0.988653 | + | 0.150216i | \(0.952003\pi\) | |||||||
\(284\) | −14.5685 | + | 14.0398i | −0.864480 | + | 0.833109i | ||||
\(285\) | 4.07465 | + | 2.35250i | 0.241362 | + | 0.139350i | ||||
\(286\) | −28.8732 | + | 3.53017i | −1.70731 | + | 0.208743i | ||||
\(287\) | −22.2301 | − | 11.3254i | −1.31220 | − | 0.668520i | ||||
\(288\) | −4.64212 | + | 3.23276i | −0.273539 | + | 0.190492i | ||||
\(289\) | −8.26434 | + | 14.3143i | −0.486138 | + | 0.842016i | ||||
\(290\) | −2.70053 | + | 2.03282i | −0.158580 | + | 0.119372i | ||||
\(291\) | −9.41780 | + | 5.43737i | −0.552081 | + | 0.318744i | ||||
\(292\) | 12.8019 | + | 3.68510i | 0.749177 | + | 0.215654i | ||||
\(293\) | − | 10.7090i | − | 0.625626i | −0.949815 | − | 0.312813i | \(-0.898729\pi\) | ||
0.949815 | − | 0.312813i | \(-0.101271\pi\) | |||||||
\(294\) | −6.74843 | − | 7.24284i | −0.393576 | − | 0.422411i | ||||
\(295\) | 12.2259i | 0.711821i | ||||||||
\(296\) | −1.22093 | + | 7.63269i | −0.0709649 | + | 0.443641i | ||||
\(297\) | 4.74861 | − | 2.74161i | 0.275542 | − | 0.159084i | ||||
\(298\) | 3.96477 | + | 5.26704i | 0.229673 | + | 0.305112i | ||||
\(299\) | −2.32741 | + | 4.03120i | −0.134598 | + | 0.233130i | ||||
\(300\) | −7.90267 | + | 1.96176i | −0.456261 | + | 0.113262i | ||||
\(301\) | −14.0842 | − | 7.17541i | −0.811801 | − | 0.413584i | ||||
\(302\) | −2.09495 | − | 17.1345i | −0.120551 | − | 0.985982i | ||||
\(303\) | 12.4972 | + | 7.21527i | 0.717946 | + | 0.414506i | ||||
\(304\) | 16.5400 | + | 10.3825i | 0.948636 | + | 0.595480i | ||||
\(305\) | 5.01711 | + | 8.68988i | 0.287279 | + | 0.497581i | ||||
\(306\) | −0.893512 | − | 0.379814i | −0.0510787 | − | 0.0217125i | ||||
\(307\) | 4.22056 | 0.240880 | 0.120440 | − | 0.992721i | \(-0.461569\pi\) | ||||
0.120440 | + | 0.992721i | \(0.461569\pi\) | |||||||
\(308\) | 19.8085 | − | 21.2005i | 1.12870 | − | 1.20801i | ||||
\(309\) | −15.0247 | −0.854725 | ||||||||
\(310\) | 6.05567 | + | 2.57414i | 0.343939 | + | 0.146201i | ||||
\(311\) | −4.85070 | − | 8.40165i | −0.275058 | − | 0.476414i | 0.695092 | − | 0.718921i | \(-0.255364\pi\) |
−0.970150 | + | 0.242507i | \(0.922030\pi\) | |||||||
\(312\) | 6.68969 | − | 8.23517i | 0.378729 | − | 0.466225i | ||||
\(313\) | 11.8328 | + | 6.83168i | 0.668831 | + | 0.386149i | 0.795633 | − | 0.605778i | \(-0.207138\pi\) |
−0.126803 | + | 0.991928i | \(0.540472\pi\) | |||||||
\(314\) | 3.76434 | + | 30.7885i | 0.212434 | + | 1.73750i | ||||
\(315\) | 0.133565 | + | 2.54624i | 0.00752556 | + | 0.143464i | ||||
\(316\) | 0.681544 | + | 2.74550i | 0.0383398 | + | 0.154447i | ||||
\(317\) | −10.0442 | + | 17.3970i | −0.564138 | + | 0.977115i | 0.432992 | + | 0.901398i | \(0.357458\pi\) |
−0.997129 | + | 0.0757171i | \(0.975875\pi\) | |||||||
\(318\) | 3.48299 | + | 4.62701i | 0.195316 | + | 0.259470i | ||||
\(319\) | 11.7771 | − | 6.79948i | 0.659388 | − | 0.380698i | ||||
\(320\) | 7.54610 | − | 1.57975i | 0.421840 | − | 0.0883106i | ||||
\(321\) | − | 12.1156i | − | 0.676229i | ||||||
\(322\) | −0.804130 | − | 4.57286i | −0.0448124 | − | 0.254836i | ||||
\(323\) | 3.35171i | 0.186494i | ||||||||
\(324\) | −0.553244 | + | 1.92196i | −0.0307358 | + | 0.106775i | ||||
\(325\) | 13.2259 | − | 7.63599i | 0.733642 | − | 0.423569i | ||||
\(326\) | −4.54039 | + | 3.41778i | −0.251469 | + | 0.189294i | ||||
\(327\) | −3.03563 | + | 5.25787i | −0.167871 | + | 0.290761i | ||||
\(328\) | 9.51989 | + | 24.9145i | 0.525648 | + | 1.37568i | ||||
\(329\) | −5.20959 | − | 8.02121i | −0.287214 | − | 0.442224i | ||||
\(330\) | −7.41780 | + | 0.906935i | −0.408337 | + | 0.0499251i | ||||
\(331\) | 8.15886 | + | 4.71052i | 0.448452 | + | 0.258914i | 0.707176 | − | 0.707037i | \(-0.249969\pi\) |
−0.258724 | + | 0.965951i | \(0.583302\pi\) | |||||||
\(332\) | 0.754681 | + | 0.783099i | 0.0414185 | + | 0.0429781i | ||||
\(333\) | 1.36643 | + | 2.36673i | 0.0748802 | + | 0.129696i | ||||
\(334\) | 8.14252 | − | 19.1553i | 0.445539 | − | 1.04813i | ||||
\(335\) | −9.09596 | −0.496965 | ||||||||
\(336\) | 0.163526 | + | 10.5817i | 0.00892109 | + | 0.577281i | ||||
\(337\) | −13.4411 | −0.732185 | −0.366092 | − | 0.930578i | \(-0.619305\pi\) | ||||
−0.366092 | + | 0.930578i | \(0.619305\pi\) | |||||||
\(338\) | −0.592669 | + | 1.39425i | −0.0322369 | + | 0.0758374i | ||||
\(339\) | −3.68969 | − | 6.39074i | −0.200397 | − | 0.347097i | ||||
\(340\) | 0.918207 | + | 0.952783i | 0.0497968 | + | 0.0516719i | ||||
\(341\) | −22.9264 | − | 13.2365i | −1.24153 | − | 0.716799i | ||||
\(342\) | 6.85340 | − | 0.837928i | 0.370589 | − | 0.0453100i | ||||
\(343\) | −18.2918 | + | 2.89985i | −0.987666 | + | 0.156577i | ||||
\(344\) | 6.03148 | + | 15.7850i | 0.325195 | + | 0.851070i | ||||
\(345\) | −0.597935 | + | 1.03565i | −0.0321917 | + | 0.0557577i | ||||
\(346\) | −13.1664 | + | 9.91103i | −0.707831 | + | 0.532820i | ||||
\(347\) | −19.5890 | + | 11.3097i | −1.05159 | + | 0.607136i | −0.923094 | − | 0.384574i | \(-0.874349\pi\) |
−0.128497 | + | 0.991710i | \(0.541015\pi\) | |||||||
\(348\) | −1.37210 | + | 4.76666i | −0.0735525 | + | 0.255520i | ||||
\(349\) | − | 2.48180i | − | 0.132848i | −0.997791 | − | 0.0664239i | \(-0.978841\pi\) | ||
0.997791 | − | 0.0664239i | \(-0.0211590\pi\) | |||||||
\(350\) | −5.21673 | + | 14.3122i | −0.278846 | + | 0.765018i | ||||
\(351\) | − | 3.75117i | − | 0.200223i | ||||||
\(352\) | −30.9066 | + | 2.62423i | −1.64733 | + | 0.139872i | ||||
\(353\) | −7.89315 | + | 4.55711i | −0.420110 | + | 0.242551i | −0.695124 | − | 0.718889i | \(-0.744651\pi\) |
0.275014 | + | 0.961440i | \(0.411317\pi\) | |||||||
\(354\) | 10.7899 | + | 14.3340i | 0.573477 | + | 0.761841i | ||||
\(355\) | 4.87458 | − | 8.44303i | 0.258716 | − | 0.448109i | ||||
\(356\) | −0.267131 | − | 1.07610i | −0.0141579 | − | 0.0570331i | ||||
\(357\) | −1.52328 | + | 0.989336i | −0.0806207 | + | 0.0523612i | ||||
\(358\) | 0.445241 | + | 3.64162i | 0.0235317 | + | 0.192466i | ||||
\(359\) | −6.00000 | − | 3.46410i | −0.316668 | − | 0.182828i | 0.333238 | − | 0.942843i | \(-0.391859\pi\) |
−0.649906 | + | 0.760014i | \(0.725192\pi\) | |||||||
\(360\) | 1.71865 | − | 2.11569i | 0.0905806 | − | 0.111507i | ||||
\(361\) | −2.41780 | − | 4.18776i | −0.127253 | − | 0.220408i | ||||
\(362\) | −12.4078 | − | 5.27431i | −0.652141 | − | 0.277212i | ||||
\(363\) | 19.0657 | 1.00069 | ||||||||
\(364\) | −5.78484 | − | 18.9877i | −0.303208 | − | 0.995223i | ||||
\(365\) | −6.41917 | −0.335995 | ||||||||
\(366\) | 13.5514 | + | 5.76041i | 0.708341 | + | 0.301101i | ||||
\(367\) | −1.91680 | − | 3.31999i | −0.100056 | − | 0.173302i | 0.811652 | − | 0.584142i | \(-0.198569\pi\) |
−0.911707 | + | 0.410840i | \(0.865235\pi\) | |||||||
\(368\) | −2.63893 | + | 4.20398i | −0.137564 | + | 0.219147i | ||||
\(369\) | 8.16641 | + | 4.71488i | 0.425126 | + | 0.245447i | ||||
\(370\) | −0.452022 | − | 3.69708i | −0.0234995 | − | 0.192202i | ||||
\(371\) | 10.8199 | − | 0.567567i | 0.561740 | − | 0.0294666i | ||||
\(372\) | 9.37160 | − | 2.32641i | 0.485895 | − | 0.120619i | ||||
\(373\) | 13.4150 | − | 23.2355i | 0.694603 | − | 1.20309i | −0.275711 | − | 0.961241i | \(-0.588913\pi\) |
0.970314 | − | 0.241848i | \(-0.0777534\pi\) | |||||||
\(374\) | −3.20164 | − | 4.25325i | −0.165553 | − | 0.219930i | ||||
\(375\) | 7.57086 | − | 4.37104i | 0.390957 | − | 0.225719i | ||||
\(376\) | −1.61504 | + | 10.0965i | −0.0832894 | + | 0.520689i | ||||
\(377\) | − | 9.30330i | − | 0.479144i | ||||||
\(378\) | 2.40376 | + | 2.86739i | 0.123636 | + | 0.147483i | ||||
\(379\) | − | 6.93692i | − | 0.356325i | −0.984001 | − | 0.178163i | \(-0.942985\pi\) | ||
0.984001 | − | 0.178163i | \(-0.0570153\pi\) | |||||||
\(380\) | −9.04282 | − | 2.60301i | −0.463887 | − | 0.133532i | ||||
\(381\) | −10.0832 | + | 5.82154i | −0.516578 | + | 0.298247i | ||||
\(382\) | 9.41497 | − | 7.08713i | 0.481712 | − | 0.362609i | ||||
\(383\) | 1.12881 | − | 1.95515i | 0.0576793 | − | 0.0999035i | −0.835744 | − | 0.549119i | \(-0.814963\pi\) |
0.893423 | + | 0.449216i | \(0.148297\pi\) | |||||||
\(384\) | 7.45303 | − | 8.51189i | 0.380336 | − | 0.434371i | ||||
\(385\) | −6.34654 | + | 12.4573i | −0.323450 | + | 0.634881i | ||||
\(386\) | 17.3682 | − | 2.12351i | 0.884017 | − | 0.108084i | ||||
\(387\) | 5.17396 | + | 2.98718i | 0.263007 | + | 0.151847i | ||||
\(388\) | 15.6607 | − | 15.0924i | 0.795054 | − | 0.766202i | ||||
\(389\) | −15.3047 | − | 26.5086i | −0.775981 | − | 1.34404i | −0.934242 | − | 0.356641i | \(-0.883922\pi\) |
0.158261 | − | 0.987397i | \(-0.449411\pi\) | |||||||
\(390\) | −2.00000 | + | 4.70500i | −0.101274 | + | 0.238247i | ||||
\(391\) | −0.851904 | −0.0430827 | ||||||||
\(392\) | 16.5893 | + | 10.8072i | 0.837885 | + | 0.545847i | ||||
\(393\) | −9.26156 | −0.467184 | ||||||||
\(394\) | 1.79078 | − | 4.21280i | 0.0902179 | − | 0.212238i | ||||
\(395\) | −0.681544 | − | 1.18047i | −0.0342922 | − | 0.0593958i | ||||
\(396\) | −7.89640 | + | 7.60984i | −0.396809 | + | 0.382409i | ||||
\(397\) | −12.0368 | − | 6.94947i | −0.604112 | − | 0.348784i | 0.166546 | − | 0.986034i | \(-0.446739\pi\) |
−0.770657 | + | 0.637250i | \(0.780072\pi\) | |||||||
\(398\) | −26.9944 | + | 3.30046i | −1.35311 | + | 0.165437i | ||||
\(399\) | 5.86365 | − | 11.5094i | 0.293550 | − | 0.576192i | ||||
\(400\) | 14.3945 | − | 7.61589i | 0.719724 | − | 0.380794i | ||||
\(401\) | 5.13832 | − | 8.89984i | 0.256596 | − | 0.444437i | −0.708732 | − | 0.705478i | \(-0.750732\pi\) |
0.965328 | + | 0.261041i | \(0.0840658\pi\) | |||||||
\(402\) | −10.6643 | + | 8.02757i | −0.531887 | + | 0.400379i | ||||
\(403\) | −15.6843 | + | 9.05535i | −0.781292 | + | 0.451079i | ||||
\(404\) | −27.7349 | − | 7.98361i | −1.37986 | − | 0.397199i | ||||
\(405\) | − | 0.963711i | − | 0.0478872i | ||||||
\(406\) | 5.96158 | + | 7.11144i | 0.295868 | + | 0.352935i | ||||
\(407\) | 14.9849i | 0.742775i | ||||||||
\(408\) | 1.91740 | + | 0.306707i | 0.0949254 | + | 0.0151843i | ||||
\(409\) | 10.5342 | − | 6.08193i | 0.520883 | − | 0.300732i | −0.216413 | − | 0.976302i | \(-0.569436\pi\) |
0.737296 | + | 0.675570i | \(0.236102\pi\) | |||||||
\(410\) | −7.72912 | − | 10.2678i | −0.381714 | − | 0.507092i | ||||
\(411\) | 3.61504 | − | 6.26144i | 0.178317 | − | 0.308854i | ||||
\(412\) | 29.1642 | − | 7.23973i | 1.43682 | − | 0.356676i | ||||
\(413\) | 33.5187 | − | 1.75826i | 1.64935 | − | 0.0865182i | ||||
\(414\) | 0.212976 | + | 1.74193i | 0.0104672 | + | 0.0856111i | ||||
\(415\) | −0.453838 | − | 0.262023i | −0.0222780 | − | 0.0128622i | ||||
\(416\) | −9.01711 | + | 19.2086i | −0.442100 | + | 0.941781i | ||||
\(417\) | 2.65406 | + | 4.59697i | 0.129970 | + | 0.225115i | ||||
\(418\) | 34.8414 | + | 14.8104i | 1.70415 | + | 0.724398i | ||||
\(419\) | 16.2245 | 0.792619 | 0.396310 | − | 0.918117i | \(-0.370291\pi\) | ||||
0.396310 | + | 0.918117i | \(0.370291\pi\) | |||||||
\(420\) | −1.48618 | − | 4.87811i | −0.0725182 | − | 0.238027i | ||||
\(421\) | −9.58477 | −0.467133 | −0.233567 | − | 0.972341i | \(-0.575040\pi\) | ||||
−0.233567 | + | 0.972341i | \(0.575040\pi\) | |||||||
\(422\) | −12.0342 | − | 5.11550i | −0.585816 | − | 0.249019i | ||||
\(423\) | 1.80752 | + | 3.13072i | 0.0878847 | + | 0.152221i | ||||
\(424\) | −8.99034 | − | 7.30313i | −0.436609 | − | 0.354672i | ||||
\(425\) | 2.42055 | + | 1.39750i | 0.117414 | + | 0.0677889i | ||||
\(426\) | −1.73626 | − | 14.2008i | −0.0841220 | − | 0.688032i | ||||
\(427\) | 23.1027 | − | 15.0047i | 1.11802 | − | 0.726127i | ||||
\(428\) | 5.83799 | + | 23.5175i | 0.282190 | + | 1.13676i | ||||
\(429\) | 10.2842 | − | 17.8128i | 0.496528 | − | 0.860011i | ||||
\(430\) | −4.89690 | − | 6.50534i | −0.236150 | − | 0.313715i | ||||
\(431\) | −0.131544 | + | 0.0759470i | −0.00633626 | + | 0.00365824i | −0.503165 | − | 0.864190i | \(-0.667831\pi\) |
0.496829 | + | 0.867849i | \(0.334498\pi\) | |||||||
\(432\) | 0.147789 | − | 3.99727i | 0.00711048 | − | 0.192319i | ||||
\(433\) | − | 9.46997i | − | 0.455098i | −0.973767 | − | 0.227549i | \(-0.926929\pi\) | ||
0.973767 | − | 0.227549i | \(-0.0730711\pi\) | |||||||
\(434\) | 6.18640 | − | 16.9725i | 0.296957 | − | 0.814705i | ||||
\(435\) | − | 2.39011i | − | 0.114597i | ||||||
\(436\) | 3.35889 | − | 11.6687i | 0.160862 | − | 0.558830i | ||||
\(437\) | 5.24663 | − | 3.02915i | 0.250981 | − | 0.144904i | ||||
\(438\) | −7.52599 | + | 5.66520i | −0.359606 | + | 0.270694i | ||||
\(439\) | −16.7373 | + | 28.9898i | −0.798826 | + | 1.38361i | 0.121555 | + | 0.992585i | \(0.461212\pi\) |
−0.920381 | + | 0.391023i | \(0.872121\pi\) | |||||||
\(440\) | 13.9616 | − | 5.33475i | 0.665592 | − | 0.254324i | ||||
\(441\) | 6.96158 | − | 0.732369i | 0.331504 | − | 0.0348747i | ||||
\(442\) | −3.61504 | + | 0.441992i | −0.171950 | + | 0.0210234i | ||||
\(443\) | −22.6513 | − | 13.0777i | −1.07619 | − | 0.621341i | −0.146327 | − | 0.989236i | \(-0.546745\pi\) |
−0.929867 | + | 0.367895i | \(0.880079\pi\) | |||||||
\(444\) | −3.79279 | − | 3.93561i | −0.179998 | − | 0.186776i | ||||
\(445\) | 0.267131 | + | 0.462684i | 0.0126632 | + | 0.0219333i | ||||
\(446\) | 1.07653 | − | 2.53253i | 0.0509750 | − | 0.119919i | ||||
\(447\) | −4.66161 | −0.220486 | ||||||||
\(448\) | −5.41629 | − | 20.4613i | −0.255896 | − | 0.966704i | ||||
\(449\) | 10.2918 | 0.485701 | 0.242851 | − | 0.970064i | \(-0.421918\pi\) | ||||
0.242851 | + | 0.970064i | \(0.421918\pi\) | |||||||
\(450\) | 2.25240 | − | 5.29878i | 0.106179 | − | 0.249787i | ||||
\(451\) | 25.8527 | + | 44.7782i | 1.21736 | + | 2.10852i | ||||
\(452\) | 10.2414 | + | 10.6271i | 0.481716 | + | 0.499855i | ||||
\(453\) | 10.5709 | + | 6.10309i | 0.496662 | + | 0.286748i | ||||
\(454\) | 12.1359 | − | 1.48380i | 0.569568 | − | 0.0696380i | ||||
\(455\) | 5.20959 | + | 8.02121i | 0.244229 | + | 0.376040i | ||||
\(456\) | −12.8993 | + | 4.92884i | −0.604064 | + | 0.230814i | ||||
\(457\) | −5.96574 | + | 10.3330i | −0.279065 | + | 0.483356i | −0.971153 | − | 0.238458i | \(-0.923358\pi\) |
0.692087 | + | 0.721814i | \(0.256691\pi\) | |||||||
\(458\) | 18.9694 | − | 14.2792i | 0.886382 | − | 0.667225i | ||||
\(459\) | 0.594545 | − | 0.343260i | 0.0277510 | − | 0.0160220i | ||||
\(460\) | 0.661608 | − | 2.29841i | 0.0308476 | − | 0.107164i | ||||
\(461\) | 30.0093i | 1.39767i | 0.715281 | + | 0.698837i | \(0.246299\pi\) | ||||
−0.715281 | + | 0.698837i | \(0.753701\pi\) | |||||||
\(462\) | 3.55324 | + | 20.2063i | 0.165312 | + | 0.940082i | ||||
\(463\) | 13.2736i | 0.616875i | 0.951245 | + | 0.308437i | \(0.0998060\pi\) | ||||
−0.951245 | + | 0.308437i | \(0.900194\pi\) | |||||||
\(464\) | 0.366532 | − | 9.91365i | 0.0170158 | − | 0.460230i | ||||
\(465\) | −4.02945 | + | 2.32641i | −0.186861 | + | 0.107885i | ||||
\(466\) | −0.890122 | − | 1.18249i | −0.0412341 | − | 0.0547778i | ||||
\(467\) | 14.8246 | − | 25.6770i | 0.686002 | − | 1.18819i | −0.287119 | − | 0.957895i | \(-0.592697\pi\) |
0.973121 | − | 0.230295i | \(-0.0739692\pi\) | |||||||
\(468\) | 1.80752 | + | 7.28134i | 0.0835527 | + | 0.336580i | ||||
\(469\) | 1.30812 | + | 24.9376i | 0.0604036 | + | 1.15151i | ||||
\(470\) | −0.597935 | − | 4.89050i | −0.0275807 | − | 0.225582i | ||||
\(471\) | −18.9944 | − | 10.9664i | −0.875217 | − | 0.505307i | ||||
\(472\) | −27.8510 | − | 22.6243i | −1.28195 | − | 1.04137i | ||||
\(473\) | 16.3794 | + | 28.3699i | 0.753125 | + | 1.30445i | ||||
\(474\) | −1.84087 | − | 0.782517i | −0.0845540 | − | 0.0359422i | ||||
\(475\) | −19.8766 | −0.912001 | ||||||||
\(476\) | 2.48011 | − | 2.65439i | 0.113676 | − | 0.121664i | ||||
\(477\) | −4.09515 | −0.187504 | ||||||||
\(478\) | 25.0513 | + | 10.6488i | 1.14582 | + | 0.487065i | ||||
\(479\) | −5.76773 | − | 9.99001i | −0.263535 | − | 0.456455i | 0.703644 | − | 0.710553i | \(-0.251555\pi\) |
−0.967179 | + | 0.254097i | \(0.918222\pi\) | |||||||
\(480\) | −2.31658 | + | 4.93488i | −0.105737 | + | 0.225246i | ||||
\(481\) | 8.87802 | + | 5.12573i | 0.404803 | + | 0.233713i | ||||
\(482\) | 0.473165 | + | 3.87001i | 0.0215521 | + | 0.176274i | ||||
\(483\) | 2.92535 | + | 1.49036i | 0.133108 | + | 0.0678138i | ||||
\(484\) | −37.0081 | + | 9.18691i | −1.68219 | + | 0.417587i | ||||
\(485\) | −5.24005 | + | 9.07604i | −0.237939 | + | 0.412122i | ||||
\(486\) | −0.850516 | − | 1.12988i | −0.0385802 | − | 0.0512523i | ||||
\(487\) | −8.44822 | + | 4.87758i | −0.382825 | + | 0.221024i | −0.679047 | − | 0.734095i | \(-0.737607\pi\) |
0.296221 | + | 0.955119i | \(0.404273\pi\) | |||||||
\(488\) | −29.0801 | − | 4.65165i | −1.31639 | − | 0.210570i | ||||
\(489\) | − | 4.01848i | − | 0.181722i | ||||||
\(490\) | −9.12223 | − | 2.79310i | −0.412100 | − | 0.126179i | ||||
\(491\) | − | 40.4736i | − | 1.82655i | −0.407346 | − | 0.913274i | \(-0.633546\pi\) | ||
0.407346 | − | 0.913274i | \(-0.366454\pi\) | |||||||
\(492\) | −18.1236 | − | 5.21696i | −0.817075 | − | 0.235199i | ||||
\(493\) | 1.47453 | − | 0.851323i | 0.0664097 | − | 0.0383416i | ||||
\(494\) | 20.6924 | − | 15.5762i | 0.930995 | − | 0.700808i | ||||
\(495\) | 2.64212 | − | 4.57628i | 0.118754 | − | 0.205689i | ||||
\(496\) | −17.0701 | + | 9.03151i | −0.766470 | + | 0.405527i | ||||
\(497\) | −23.8485 | − | 12.1500i | −1.06975 | − | 0.545001i | ||||
\(498\) | −0.763337 | + | 0.0933291i | −0.0342059 | + | 0.00418218i | ||||
\(499\) | −27.6827 | − | 15.9826i | −1.23925 | − | 0.715480i | −0.270307 | − | 0.962774i | \(-0.587125\pi\) |
−0.968941 | + | 0.247294i | \(0.920459\pi\) | |||||||
\(500\) | −12.5895 | + | 12.1326i | −0.563019 | + | 0.542587i | ||||
\(501\) | 7.35889 | + | 12.7460i | 0.328771 | + | 0.569448i | ||||
\(502\) | −11.4794 | + | 27.0053i | −0.512351 | + | 1.20531i | ||||
\(503\) | 22.7110 | 1.01263 | 0.506317 | − | 0.862348i | \(-0.331007\pi\) | ||||
0.506317 | + | 0.862348i | \(0.331007\pi\) | |||||||
\(504\) | −6.04757 | − | 4.40759i | −0.269380 | − | 0.196330i | ||||
\(505\) | 13.9069 | 0.618847 | ||||||||
\(506\) | −3.76434 | + | 8.85562i | −0.167346 | + | 0.393681i | ||||
\(507\) | −0.535631 | − | 0.927740i | −0.0237882 | − | 0.0412024i | ||||
\(508\) | 16.7672 | − | 16.1588i | 0.743925 | − | 0.716929i | ||||
\(509\) | −1.98947 | − | 1.14862i | −0.0881819 | − | 0.0509118i | 0.455261 | − | 0.890358i | \(-0.349546\pi\) |
−0.543443 | + | 0.839446i | \(0.682879\pi\) | |||||||
\(510\) | −0.928739 | + | 0.113552i | −0.0411252 | + | 0.00502816i | ||||
\(511\) | 0.923166 | + | 17.5989i | 0.0408384 | + | 0.778528i | ||||
\(512\) | −10.3655 | + | 20.1136i | −0.458093 | + | 0.888904i | ||||
\(513\) | −2.44109 | + | 4.22809i | −0.107777 | + | 0.186675i | ||||
\(514\) | 8.41881 | − | 6.33727i | 0.371338 | − | 0.279525i | ||||
\(515\) | −12.5396 | + | 7.23973i | −0.552560 | + | 0.319021i | ||||
\(516\) | −11.4825 | − | 3.30528i | −0.505488 | − | 0.145507i | ||||
\(517\) | 19.8221i | 0.871773i | ||||||||
\(518\) | −10.0709 | + | 1.77096i | −0.442491 | + | 0.0778114i | ||||
\(519\) | − | 11.6530i | − | 0.511508i | ||||||
\(520\) | 1.61504 | − | 10.0965i | 0.0708242 | − | 0.442762i | ||||
\(521\) | −32.5712 | + | 18.8050i | −1.42697 | + | 0.823862i | −0.996881 | − | 0.0789240i | \(-0.974852\pi\) |
−0.430090 | + | 0.902786i | \(0.641518\pi\) | |||||||
\(522\) | −2.10937 | − | 2.80222i | −0.0923247 | − | 0.122650i | ||||
\(523\) | −17.8444 | + | 30.9073i | −0.780279 | + | 1.35148i | 0.151500 | + | 0.988457i | \(0.451590\pi\) |
−0.931779 | + | 0.363026i | \(0.881744\pi\) | |||||||
\(524\) | 17.9775 | − | 4.46273i | 0.785350 | − | 0.194955i | ||||
\(525\) | −5.86704 | − | 9.03350i | −0.256059 | − | 0.394254i | ||||
\(526\) | −5.09394 | − | 41.6632i | −0.222106 | − | 1.81660i | ||||
\(527\) | −2.87047 | − | 1.65727i | −0.125040 | − | 0.0721917i | ||||
\(528\) | 11.6607 | − | 18.5763i | 0.507469 | − | 0.808429i | ||||
\(529\) | −10.7301 | − | 18.5850i | −0.466525 | − | 0.808046i | ||||
\(530\) | 5.13645 | + | 2.18340i | 0.223113 | + | 0.0948408i | ||||
\(531\) | −12.6863 | −0.550539 | ||||||||
\(532\) | −5.83597 | + | 25.1662i | −0.253021 | + | 1.09109i | ||||
\(533\) | 35.3726 | 1.53216 | ||||||||
\(534\) | 0.721529 | + | 0.306707i | 0.0312236 | + | 0.0132725i | ||||
\(535\) | −5.83799 | − | 10.1117i | −0.252398 | − | 0.437167i | ||||
\(536\) | 16.8322 | − | 20.7209i | 0.727041 | − | 0.895005i | ||||
\(537\) | −2.24663 | − | 1.29709i | −0.0969494 | − | 0.0559738i | ||||
\(538\) | 0.740657 | + | 6.05782i | 0.0319320 | + | 0.261171i | ||||
\(539\) | 35.0657 | + | 15.6082i | 1.51039 | + | 0.672293i | ||||
\(540\) | 0.464369 | + | 1.87065i | 0.0199833 | + | 0.0804998i | ||||
\(541\) | −18.5102 | + | 32.0605i | −0.795814 | + | 1.37839i | 0.126507 | + | 0.991966i | \(0.459623\pi\) |
−0.922321 | + | 0.386425i | \(0.873710\pi\) | |||||||
\(542\) | −11.5524 | − | 15.3469i | −0.496219 | − | 0.659208i | ||||
\(543\) | 8.25620 | − | 4.76672i | 0.354307 | − | 0.204559i | ||||
\(544\) | −3.86963 | + | 0.328564i | −0.165909 | + | 0.0140871i | ||||
\(545\) | 5.85094i | 0.250627i | ||||||||
\(546\) | 13.1869 | + | 4.80657i | 0.564347 | + | 0.205702i | ||||
\(547\) | − | 2.09106i | − | 0.0894073i | −0.999000 | − | 0.0447036i | \(-0.985766\pi\) | ||
0.999000 | − | 0.0447036i | \(-0.0142344\pi\) | |||||||
\(548\) | −4.00000 | + | 13.8959i | −0.170872 | + | 0.593604i | ||||
\(549\) | −9.01711 | + | 5.20603i | −0.384841 | + | 0.222188i | ||||
\(550\) | 25.2229 | − | 18.9866i | 1.07551 | − | 0.809591i | ||||
\(551\) | −6.05415 | + | 10.4861i | −0.257916 | + | 0.446723i | ||||
\(552\) | −1.25276 | − | 3.27861i | −0.0533211 | − | 0.139547i | ||||
\(553\) | −3.13837 | + | 2.03829i | −0.133457 | + | 0.0866771i | ||||
\(554\) | −2.90755 | + | 0.355491i | −0.123530 | + | 0.0151034i | ||||
\(555\) | 2.28085 | + | 1.31685i | 0.0968166 | + | 0.0558971i | ||||
\(556\) | −7.36684 | − | 7.64424i | −0.312424 | − | 0.324188i | ||||
\(557\) | 8.39887 | + | 14.5473i | 0.355872 | + | 0.616388i | 0.987267 | − | 0.159073i | \(-0.0508507\pi\) |
−0.631395 | + | 0.775461i | \(0.717517\pi\) | |||||||
\(558\) | −2.67107 | + | 6.28370i | −0.113075 | + | 0.266010i | ||||
\(559\) | 22.4109 | 0.947878 | ||||||||
\(560\) | 5.23535 | + | 8.75271i | 0.221234 | + | 0.369869i | ||||
\(561\) | 3.76434 | 0.158931 | ||||||||
\(562\) | 13.1186 | − | 30.8616i | 0.553376 | − | 1.30182i | ||||
\(563\) | 8.69784 | + | 15.0651i | 0.366570 | + | 0.634918i | 0.989027 | − | 0.147736i | \(-0.0471986\pi\) |
−0.622456 | + | 0.782654i | \(0.713865\pi\) | |||||||
\(564\) | −5.01711 | − | 5.20603i | −0.211258 | − | 0.219213i | ||||
\(565\) | −6.15882 | − | 3.55580i | −0.259104 | − | 0.149594i | ||||
\(566\) | −17.2028 | + | 2.10329i | −0.723086 | + | 0.0884079i | ||||
\(567\) | −2.64212 | + | 0.138595i | −0.110959 | + | 0.00582044i | ||||
\(568\) | 10.2130 | + | 26.7284i | 0.428527 | + | 1.12150i | ||||
\(569\) | 17.1425 | − | 29.6917i | 0.718652 | − | 1.24474i | −0.242882 | − | 0.970056i | \(-0.578093\pi\) |
0.961534 | − | 0.274686i | \(-0.0885739\pi\) | |||||||
\(570\) | 5.31607 | − | 4.00168i | 0.222666 | − | 0.167612i | ||||
\(571\) | 5.14176 | − | 2.96860i | 0.215176 | − | 0.124232i | −0.388539 | − | 0.921432i | \(-0.627020\pi\) |
0.603715 | + | 0.797201i | \(0.293687\pi\) | |||||||
\(572\) | −11.3794 | + | 39.5317i | −0.475796 | + | 1.65290i | ||||
\(573\) | 8.33274i | 0.348105i | ||||||||
\(574\) | −27.0388 | + | 22.6669i | −1.12858 | + | 0.946097i | ||||
\(575\) | − | 5.05203i | − | 0.210684i | ||||||
\(576\) | 1.63924 | + | 7.83026i | 0.0683015 | + | 0.326261i | ||||
\(577\) | 33.7930 | − | 19.5104i | 1.40682 | − | 0.812229i | 0.411742 | − | 0.911300i | \(-0.364920\pi\) |
0.995080 | + | 0.0990712i | \(0.0315871\pi\) | |||||||
\(578\) | 14.0579 | + | 18.6754i | 0.584732 | + | 0.776794i | ||||
\(579\) | −6.18630 | + | 10.7150i | −0.257094 | + | 0.445300i | ||||
\(580\) | 1.15169 | + | 4.63940i | 0.0478211 | + | 0.192641i | ||||
\(581\) | −0.653097 | + | 1.28193i | −0.0270950 | + | 0.0531833i | ||||
\(582\) | 1.86643 | + | 15.2655i | 0.0773662 | + | 0.632777i | ||||
\(583\) | −19.4462 | − | 11.2273i | −0.805381 | − | 0.464987i | ||||
\(584\) | 11.8788 | − | 14.6231i | 0.491547 | − | 0.605107i | ||||
\(585\) | −1.80752 | − | 3.13072i | −0.0747318 | − | 0.129439i | ||||
\(586\) | −13.9378 | − | 5.92469i | −0.575767 | − | 0.244747i | ||||
\(587\) | −7.71931 | −0.318610 | −0.159305 | − | 0.987229i | \(-0.550925\pi\) | ||||
−0.159305 | + | 0.987229i | \(0.550925\pi\) | |||||||
\(588\) | −13.1601 | + | 4.77607i | −0.542715 | + | 0.196962i | ||||
\(589\) | 23.5712 | 0.971235 | ||||||||
\(590\) | 15.9121 | + | 6.76392i | 0.655092 | + | 0.278466i | ||||
\(591\) | 1.61843 | + | 2.80321i | 0.0665734 | + | 0.115308i | ||||
\(592\) | 9.25853 | + | 5.81178i | 0.380523 | + | 0.238863i | ||||
\(593\) | 0.336377 | + | 0.194207i | 0.0138133 | + | 0.00797513i | 0.506891 | − | 0.862010i | \(-0.330795\pi\) |
−0.493077 | + | 0.869985i | \(0.664128\pi\) | |||||||
\(594\) | −0.941086 | − | 7.69713i | −0.0386132 | − | 0.315817i | ||||
\(595\) | −0.794612 | + | 1.55970i | −0.0325759 | + | 0.0639415i | ||||
\(596\) | 9.04858 | − | 2.24622i | 0.370644 | − | 0.0920088i | ||||
\(597\) | 9.61504 | − | 16.6537i | 0.393517 | − | 0.681592i | ||||
\(598\) | 3.95901 | + | 5.25938i | 0.161896 | + | 0.215072i | ||||
\(599\) | 18.0000 | − | 10.3923i | 0.735460 | − | 0.424618i | −0.0849563 | − | 0.996385i | \(-0.527075\pi\) |
0.820416 | + | 0.571767i | \(0.193742\pi\) | |||||||
\(600\) | −1.81886 | + | 11.3707i | −0.0742547 | + | 0.464207i | ||||
\(601\) | − | 26.4110i | − | 1.07733i | −0.842521 | − | 0.538664i | \(-0.818929\pi\) | ||
0.842521 | − | 0.538664i | \(-0.181071\pi\) | |||||||
\(602\) | −17.1309 | + | 14.3610i | −0.698202 | + | 0.585309i | ||||
\(603\) | − | 9.43847i | − | 0.384364i | ||||||
\(604\) | −23.4598 | − | 6.75299i | −0.954564 | − | 0.274775i | ||||
\(605\) | 15.9122 | − | 9.18691i | 0.646922 | − | 0.373501i | ||||
\(606\) | 16.3047 | − | 12.2734i | 0.662335 | − | 0.498573i | ||||
\(607\) | 20.3531 | − | 35.2526i | 0.826106 | − | 1.43086i | −0.0749655 | − | 0.997186i | \(-0.523885\pi\) |
0.901071 | − | 0.433671i | \(-0.142782\pi\) | |||||||
\(608\) | 22.6636 | − | 15.7829i | 0.919131 | − | 0.640081i | ||||
\(609\) | −6.55274 | + | 0.343730i | −0.265530 | + | 0.0139287i | ||||
\(610\) | 14.0856 | − | 1.72217i | 0.570310 | − | 0.0697288i | ||||
\(611\) | 11.7438 | + | 6.78031i | 0.475105 | + | 0.274302i | ||||
\(612\) | −0.988660 | + | 0.952783i | −0.0399642 | + | 0.0385140i | ||||
\(613\) | −8.66920 | − | 15.0155i | −0.350146 | − | 0.606470i | 0.636129 | − | 0.771583i | \(-0.280535\pi\) |
−0.986275 | + | 0.165113i | \(0.947201\pi\) | |||||||
\(614\) | 2.33500 | − | 5.49310i | 0.0942330 | − | 0.221683i | ||||
\(615\) | 9.08756 | 0.366446 | ||||||||
\(616\) | −16.6337 | − | 37.5100i | −0.670189 | − | 1.51132i | ||||
\(617\) | −46.4753 | −1.87103 | −0.935513 | − | 0.353291i | \(-0.885062\pi\) | ||||
−0.935513 | + | 0.353291i | \(0.885062\pi\) | |||||||
\(618\) | −8.31232 | + | 19.5547i | −0.334371 | + | 0.786607i | ||||
\(619\) | 13.1911 | + | 22.8476i | 0.530194 | + | 0.918322i | 0.999379 | + | 0.0352227i | \(0.0112141\pi\) |
−0.469186 | + | 0.883099i | \(0.655453\pi\) | |||||||
\(620\) | 6.70053 | − | 6.45737i | 0.269100 | − | 0.259334i | ||||
\(621\) | −1.07465 | − | 0.620450i | −0.0431243 | − | 0.0248978i | ||||
\(622\) | −13.6184 | + | 1.66505i | −0.546049 | + | 0.0667625i | ||||
\(623\) | 1.23008 | − | 0.798909i | 0.0492822 | − | 0.0320076i | ||||
\(624\) | −7.01711 | − | 13.2627i | −0.280909 | − | 0.530935i | ||||
\(625\) | −5.96574 | + | 10.3330i | −0.238630 | + | 0.413318i | ||||
\(626\) | 15.4379 | − | 11.6209i | 0.617023 | − | 0.464465i | ||||
\(627\) | −23.1835 | + | 13.3850i | −0.925860 | + | 0.534546i | ||||
\(628\) | 42.1541 | + | 12.1342i | 1.68213 | + | 0.484209i | ||||
\(629\) | 1.87617i | 0.0748079i | ||||||||
\(630\) | 3.38784 | + | 1.23485i | 0.134975 | + | 0.0491978i | ||||
\(631\) | − | 41.0696i | − | 1.63495i | −0.575961 | − | 0.817477i | \(-0.695372\pi\) | ||
0.575961 | − | 0.817477i | \(-0.304628\pi\) | |||||||
\(632\) | 3.95035 | + | 0.631898i | 0.157137 | + | 0.0251356i | ||||
\(633\) | 8.00759 | − | 4.62318i | 0.318273 | − | 0.183755i | ||||
\(634\) | 17.0855 | + | 22.6974i | 0.678551 | + | 0.901428i | ||||
\(635\) | −5.61028 | + | 9.71729i | −0.222637 | + | 0.385619i | ||||
\(636\) | 7.94904 | − | 1.97327i | 0.315200 | − | 0.0782452i | ||||
\(637\) | 21.2418 | − | 15.4362i | 0.841632 | − | 0.611605i | ||||
\(638\) | −2.33399 | − | 19.0897i | −0.0924037 | − | 0.755768i | ||||
\(639\) | 8.76095 | + | 5.05814i | 0.346578 | + | 0.200097i | ||||
\(640\) | 2.11878 | − | 10.6953i | 0.0837522 | − | 0.422769i | ||||
\(641\) | −22.7239 | − | 39.3590i | −0.897540 | − | 1.55459i | −0.830629 | − | 0.556827i | \(-0.812019\pi\) |
−0.0669115 | − | 0.997759i | \(-0.521315\pi\) | |||||||
\(642\) | −15.7686 | − | 6.70291i | −0.622337 | − | 0.264543i | ||||
\(643\) | −30.5534 | −1.20491 | −0.602454 | − | 0.798154i | \(-0.705810\pi\) | ||||
−0.602454 | + | 0.798154i | \(0.705810\pi\) | |||||||
\(644\) | −6.39649 | − | 1.48333i | −0.252057 | − | 0.0584513i | ||||
\(645\) | 5.75756 | 0.226704 | ||||||||
\(646\) | 4.36228 | + | 1.85432i | 0.171632 | + | 0.0729571i | ||||
\(647\) | 18.0896 | + | 31.3321i | 0.711175 | + | 1.23179i | 0.964417 | + | 0.264388i | \(0.0851698\pi\) |
−0.253242 | + | 0.967403i | \(0.581497\pi\) | |||||||
\(648\) | 2.19536 | + | 1.78336i | 0.0862420 | + | 0.0700571i | ||||
\(649\) | −60.2423 | − | 34.7809i | −2.36472 | − | 1.36527i | ||||
\(650\) | −2.62113 | − | 21.4382i | −0.102809 | − | 0.840876i | ||||
\(651\) | 6.95759 | + | 10.7126i | 0.272689 | + | 0.419861i | ||||
\(652\) | 1.93633 | + | 7.80022i | 0.0758324 | + | 0.305480i | ||||
\(653\) | 4.11545 | − | 7.12816i | 0.161050 | − | 0.278946i | −0.774196 | − | 0.632946i | \(-0.781845\pi\) |
0.935245 | + | 0.354000i | \(0.115179\pi\) | |||||||
\(654\) | 5.16371 | + | 6.85978i | 0.201917 | + | 0.268239i | ||||
\(655\) | −7.72968 | + | 4.46273i | −0.302024 | + | 0.174373i | ||||
\(656\) | 37.6933 | + | 1.39361i | 1.47168 | + | 0.0544114i | ||||
\(657\) | − | 6.66089i | − | 0.259866i | ||||||
\(658\) | −13.3218 | + | 2.34262i | −0.519339 | + | 0.0913250i | ||||
\(659\) | − | 22.8837i | − | 0.891422i | −0.895177 | − | 0.445711i | \(-0.852951\pi\) | ||
0.895177 | − | 0.445711i | \(-0.147049\pi\) | |||||||
\(660\) | −2.92347 | + | 10.1561i | −0.113796 | + | 0.395325i | ||||
\(661\) | −17.7212 | + | 10.2313i | −0.689275 | + | 0.397953i | −0.803340 | − | 0.595520i | \(-0.796946\pi\) |
0.114065 | + | 0.993473i | \(0.463613\pi\) | |||||||
\(662\) | 10.6446 | − | 8.01275i | 0.413715 | − | 0.311424i | ||||
\(663\) | 1.28763 | − | 2.23024i | 0.0500073 | − | 0.0866152i | ||||
\(664\) | 1.43673 | − | 0.548978i | 0.0557560 | − | 0.0213045i | ||||
\(665\) | −0.652090 | − | 12.4312i | −0.0252870 | − | 0.482060i | ||||
\(666\) | 3.83629 | − | 0.469043i | 0.148653 | − | 0.0181750i | ||||
\(667\) | −2.66525 | − | 1.53878i | −0.103199 | − | 0.0595819i | ||||
\(668\) | −20.4260 | − | 21.1951i | −0.790304 | − | 0.820063i | ||||
\(669\) | 0.972923 | + | 1.68515i | 0.0376154 | + | 0.0651517i | ||||
\(670\) | −5.03228 | + | 11.8385i | −0.194414 | + | 0.457359i | ||||
\(671\) | −57.0916 | −2.20400 | ||||||||
\(672\) | 13.8627 | + | 5.64145i | 0.534765 | + | 0.217624i | ||||
\(673\) | 4.23008 | 0.163058 | 0.0815289 | − | 0.996671i | \(-0.474020\pi\) | ||||
0.0815289 | + | 0.996671i | \(0.474020\pi\) | |||||||
\(674\) | −7.43622 | + | 17.4937i | −0.286433 | + | 0.673833i | ||||
\(675\) | 2.03563 | + | 3.52582i | 0.0783515 | + | 0.135709i | ||||
\(676\) | 1.48674 | + | 1.54273i | 0.0571824 | + | 0.0593356i | ||||
\(677\) | 20.7962 | + | 12.0067i | 0.799262 | + | 0.461454i | 0.843213 | − | 0.537580i | \(-0.180661\pi\) |
−0.0439511 | + | 0.999034i | \(0.513995\pi\) | |||||||
\(678\) | −10.3589 | + | 1.26653i | −0.397831 | + | 0.0486406i | ||||
\(679\) | 25.6365 | + | 13.0609i | 0.983840 | + | 0.501232i | ||||
\(680\) | 1.74805 | − | 0.667932i | 0.0670345 | − | 0.0256140i | ||||
\(681\) | −4.32265 | + | 7.48706i | −0.165644 | + | 0.286905i | ||||
\(682\) | −29.9113 | + | 22.5158i | −1.14536 | + | 0.862174i | ||||
\(683\) | −7.09951 | + | 4.09890i | −0.271655 | + | 0.156840i | −0.629640 | − | 0.776887i | \(-0.716797\pi\) |
0.357984 | + | 0.933728i | \(0.383464\pi\) | |||||||
\(684\) | 2.70103 | − | 9.38333i | 0.103277 | − | 0.358781i | ||||
\(685\) | − | 6.96771i | − | 0.266222i | ||||||
\(686\) | −6.34567 | + | 25.4113i | −0.242279 | + | 0.970207i | ||||
\(687\) | 16.7889i | 0.640537i | ||||||||
\(688\) | 23.8812 | + | 0.882944i | 0.910461 | + | 0.0336619i | ||||
\(689\) | −13.3035 | + | 7.68079i | −0.506824 | + | 0.292615i | ||||
\(690\) | 1.01711 | + | 1.35119i | 0.0387206 | + | 0.0514388i | ||||
\(691\) | 17.9925 | − | 31.1638i | 0.684465 | − | 1.18553i | −0.289139 | − | 0.957287i | \(-0.593369\pi\) |
0.973605 | − | 0.228242i | \(-0.0732976\pi\) | |||||||
\(692\) | 5.61504 | + | 22.6194i | 0.213452 | + | 0.859860i | ||||
\(693\) | −12.9264 | − | 6.58552i | −0.491032 | − | 0.250163i | ||||
\(694\) | 3.88217 | + | 31.7522i | 0.147365 | + | 1.20530i | ||||
\(695\) | 4.43015 | + | 2.55775i | 0.168045 | + | 0.0970209i | ||||
\(696\) | 5.44473 | + | 4.42293i | 0.206382 | + | 0.167651i | ||||
\(697\) | 3.23686 | + | 5.60641i | 0.122605 | + | 0.212358i | ||||
\(698\) | −3.23008 | − | 1.37304i | −0.122260 | − | 0.0519704i | ||||
\(699\) | 1.04657 | 0.0395848 | ||||||||
\(700\) | 15.7413 | + | 14.7077i | 0.594964 | + | 0.555900i | ||||
\(701\) | −12.9471 | −0.489003 | −0.244502 | − | 0.969649i | \(-0.578624\pi\) | ||||
−0.244502 | + | 0.969649i | \(0.578624\pi\) | |||||||
\(702\) | −4.88217 | − | 2.07531i | −0.184266 | − | 0.0783276i | ||||
\(703\) | −6.67117 | − | 11.5548i | −0.251608 | − | 0.435798i | ||||
\(704\) | −13.6834 | + | 41.6769i | −0.515713 | + | 1.57076i | ||||
\(705\) | 3.01711 | + | 1.74193i | 0.113631 | + | 0.0656048i | ||||
\(706\) | 1.56428 | + | 12.7942i | 0.0588723 | + | 0.481516i | ||||
\(707\) | −2.00000 | − | 38.1272i | −0.0752177 | − | 1.43392i | ||||
\(708\) | 24.6252 | − | 6.11296i | 0.925472 | − | 0.229739i | ||||
\(709\) | −6.65603 | + | 11.5286i | −0.249973 | + | 0.432965i | −0.963518 | − | 0.267644i | \(-0.913755\pi\) |
0.713545 | + | 0.700609i | \(0.247088\pi\) | |||||||
\(710\) | −8.29183 | − | 11.0154i | −0.311187 | − | 0.413399i | ||||
\(711\) | 1.22492 | − | 0.707208i | 0.0459381 | − | 0.0265224i | ||||
\(712\) | −1.54834 | − | 0.247673i | −0.0580265 | − | 0.00928192i | ||||
\(713\) | 5.99109i | 0.224368i | ||||||||
\(714\) | 0.444880 | + | 2.52991i | 0.0166492 | + | 0.0946794i | ||||
\(715\) | − | 19.8221i | − | 0.741303i | ||||||
\(716\) | 4.98592 | + | 1.43522i | 0.186333 | + | 0.0536367i | ||||
\(717\) | −16.6692 | + | 9.62396i | −0.622523 | + | 0.359414i | ||||
\(718\) | −7.82802 | + | 5.89255i | −0.292139 | + | 0.219908i | ||||
\(719\) | −23.7520 | + | 41.1397i | −0.885800 | + | 1.53425i | −0.0410056 | + | 0.999159i | \(0.513056\pi\) |
−0.844794 | + | 0.535091i | \(0.820277\pi\) | |||||||
\(720\) | −1.80276 | − | 3.40733i | −0.0671850 | − | 0.126984i | ||||
\(721\) | 21.6519 | + | 33.3375i | 0.806358 | + | 1.24155i | ||||
\(722\) | −6.78803 | + | 0.829936i | −0.252624 | + | 0.0308870i | ||||
\(723\) | −2.38754 | − | 1.37844i | −0.0887934 | − | 0.0512649i | ||||
\(724\) | −13.7291 | + | 13.2309i | −0.510239 | + | 0.491723i | ||||
\(725\) | 5.04858 | + | 8.74440i | 0.187500 | + | 0.324759i | ||||
\(726\) | 10.5480 | − | 24.8141i | 0.391472 | − | 0.920939i | ||||
\(727\) | 24.3567 | 0.903340 | 0.451670 | − | 0.892185i | \(-0.350828\pi\) | ||||
0.451670 | + | 0.892185i | \(0.350828\pi\) | |||||||
\(728\) | −27.9130 | − | 2.97579i | −1.03452 | − | 0.110290i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −3.55137 | + | 8.35460i | −0.131442 | + | 0.309218i | ||||
\(731\) | 2.05076 | + | 3.55203i | 0.0758503 | + | 0.131377i | ||||
\(732\) | 14.9944 | − | 14.4503i | 0.554210 | − | 0.534098i | ||||
\(733\) | 3.35812 | + | 1.93881i | 0.124035 | + | 0.0716117i | 0.560734 | − | 0.827996i | \(-0.310519\pi\) |
−0.436699 | + | 0.899608i | \(0.643852\pi\) | |||||||
\(734\) | −5.38144 | + | 0.657960i | −0.198633 | + | 0.0242857i | ||||
\(735\) | 5.45723 | − | 3.96571i | 0.201293 | − | 0.146277i | ||||
\(736\) | 4.01153 | + | 5.76041i | 0.147867 | + | 0.212331i | ||||
\(737\) | 25.8766 | − | 44.8196i | 0.953177 | − | 1.65095i | ||||
\(738\) | 10.6545 | − | 8.02016i | 0.392196 | − | 0.295226i | ||||
\(739\) | −7.46497 | + | 4.30990i | −0.274603 | + | 0.158542i | −0.630978 | − | 0.775801i | \(-0.717346\pi\) |
0.356374 | + | 0.934343i | \(0.384013\pi\) | |||||||
\(740\) | −5.06185 | − | 1.45708i | −0.186077 | − | 0.0535632i | ||||
\(741\) | 18.3138i | 0.672776i | ||||||||
\(742\) | 5.24733 | − | 14.3961i | 0.192636 | − | 0.528499i | ||||
\(743\) | 6.12929i | 0.224862i | 0.993660 | + | 0.112431i | \(0.0358637\pi\) | ||||
−0.993660 | + | 0.112431i | \(0.964136\pi\) | |||||||
\(744\) | 2.15695 | − | 13.4843i | 0.0790775 | − | 0.494357i | ||||
\(745\) | −3.89057 | + | 2.24622i | −0.142539 | + | 0.0822952i | ||||
\(746\) | −22.8194 | − | 30.3146i | −0.835477 | − | 1.10990i | ||||
\(747\) | 0.271890 | − | 0.470927i | 0.00994793 | − | 0.0172303i | ||||
\(748\) | −7.30692 | + | 1.81387i | −0.267167 | + | 0.0663216i | ||||
\(749\) | −26.8827 | + | 17.4597i | −0.982273 | + | 0.637963i | ||||
\(750\) | −1.50040 | − | 12.2718i | −0.0547870 | − | 0.448102i | ||||
\(751\) | 30.7146 | + | 17.7331i | 1.12079 | + | 0.647090i | 0.941603 | − | 0.336725i | \(-0.109319\pi\) |
0.179190 | + | 0.983815i | \(0.442652\pi\) | |||||||
\(752\) | 12.2472 | + | 7.68783i | 0.446609 | + | 0.280346i | ||||
\(753\) | −10.3746 | − | 17.9694i | −0.378072 | − | 0.654841i | ||||
\(754\) | −12.1083 | − | 5.14699i | −0.440959 | − | 0.187442i | ||||
\(755\) | 11.7632 | 0.428108 | ||||||||
\(756\) | 5.06180 | − | 1.54214i | 0.184096 | − | 0.0560872i | ||||
\(757\) | 29.4204 | 1.06930 | 0.534651 | − | 0.845073i | \(-0.320443\pi\) | ||||
0.534651 | + | 0.845073i | \(0.320443\pi\) | |||||||
\(758\) | −9.02845 | − | 3.83781i | −0.327928 | − | 0.139395i | ||||
\(759\) | −3.40207 | − | 5.89255i | −0.123487 | − | 0.213886i | ||||
\(760\) | −8.39073 | + | 10.3292i | −0.304364 | + | 0.374679i | ||||
\(761\) | 43.5568 | + | 25.1475i | 1.57893 | + | 0.911597i | 0.995009 | + | 0.0997877i | \(0.0318164\pi\) |
0.583923 | + | 0.811809i | \(0.301517\pi\) | |||||||
\(762\) | 1.99830 | + | 16.3441i | 0.0723909 | + | 0.592084i | ||||
\(763\) | 16.0410 | − | 0.841446i | 0.580723 | − | 0.0304624i | ||||
\(764\) | −4.01518 | − | 16.1746i | −0.145264 | − | 0.585175i | ||||
\(765\) | 0.330804 | − | 0.572969i | 0.0119602 | − | 0.0207157i | ||||
\(766\) | −1.92014 | − | 2.55082i | −0.0693774 | − | 0.0921650i | ||||
\(767\) | −41.2128 | + | 23.7942i | −1.48811 | + | 0.859160i | ||||
\(768\) | −6.95495 | − | 14.4093i | −0.250965 | − | 0.519952i | ||||
\(769\) | − | 20.2817i | − | 0.731377i | −0.930737 | − | 0.365689i | \(-0.880833\pi\) | ||
0.930737 | − | 0.365689i | \(-0.119167\pi\) | |||||||
\(770\) | 12.7020 | + | 15.1520i | 0.457750 | + | 0.546039i | ||||
\(771\) | 7.45109i | 0.268344i | ||||||||
\(772\) | 6.84507 | − | 23.7796i | 0.246359 | − | 0.855847i | ||||
\(773\) | −18.8149 | + | 10.8628i | −0.676723 | + | 0.390706i | −0.798619 | − | 0.601836i | \(-0.794436\pi\) |
0.121896 | + | 0.992543i | \(0.461103\pi\) | |||||||
\(774\) | 6.75030 | − | 5.08130i | 0.242635 | − | 0.182643i | ||||
\(775\) | 9.82806 | − | 17.0227i | 0.353034 | − | 0.611473i | ||||
\(776\) | −10.9787 | − | 28.7324i | −0.394112 | − | 1.03143i | ||||
\(777\) | 3.28226 | − | 6.44257i | 0.117751 | − | 0.231126i | ||||
\(778\) | −42.9684 | + | 5.25351i | −1.54049 | + | 0.188347i | ||||
\(779\) | −39.8698 | − | 23.0189i | −1.42848 | − | 0.824736i | ||||
\(780\) | 5.01711 | + | 5.20603i | 0.179641 | + | 0.186406i | ||||
\(781\) | 27.7349 | + | 48.0382i | 0.992432 | + | 1.71894i | ||||
\(782\) | −0.471311 | + | 1.10876i | −0.0168540 | + | 0.0396492i | ||||
\(783\) | 2.48011 | 0.0886318 | ||||||||
\(784\) | 23.2436 | − | 15.6120i | 0.830128 | − | 0.557573i | ||||
\(785\) | −21.1369 | −0.754410 | ||||||||
\(786\) | −5.12390 | + | 12.0540i | −0.182764 | + | 0.429951i | ||||
\(787\) | 0.299328 | + | 0.518452i | 0.0106699 | + | 0.0184808i | 0.871311 | − | 0.490731i | \(-0.163270\pi\) |
−0.860641 | + | 0.509212i | \(0.829937\pi\) | |||||||
\(788\) | −4.49225 | − | 4.66141i | −0.160030 | − | 0.166056i | ||||
\(789\) | 25.7034 | + | 14.8399i | 0.915066 | + | 0.528313i | ||||
\(790\) | −1.91345 | + | 0.233947i | −0.0680774 | + | 0.00832346i | ||||
\(791\) | −8.86288 | + | 17.3965i | −0.315128 | + | 0.618547i | ||||
\(792\) | 5.53563 | + | 14.4873i | 0.196700 | + | 0.514784i | ||||
\(793\) | −19.5287 | + | 33.8247i | −0.693484 | + | 1.20115i | ||||
\(794\) | −15.7041 | + | 11.8213i | −0.557318 | + | 0.419521i | ||||
\(795\) | −3.41780 | + | 1.97327i | −0.121217 | + | 0.0699847i | ||||
\(796\) | −10.6389 | + | 36.9594i | −0.377087 | + | 1.30999i | ||||
\(797\) | − | 36.1789i | − | 1.28152i | −0.767741 | − | 0.640760i | \(-0.778619\pi\) | ||
0.767741 | − | 0.640760i | \(-0.221381\pi\) | |||||||
\(798\) | −11.7356 | − | 13.9991i | −0.415435 | − | 0.495563i | ||||
\(799\) | 2.48180i | 0.0877998i | ||||||||
\(800\) | −1.94847 | − | 22.9480i | −0.0688890 | − | 0.811333i | ||||
\(801\) | −0.480107 | + | 0.277190i | −0.0169637 | + | 0.00979402i | ||||
\(802\) | −8.74046 | − | 11.6113i | −0.308636 | − | 0.410011i | ||||
\(803\) | 18.2616 | − | 31.6299i | 0.644436 | − | 1.11620i | ||||
\(804\) | 4.54798 | + | 18.3209i | 0.160395 | + | 0.646128i | ||||
\(805\) | 3.15963 | − | 0.165741i | 0.111362 | − | 0.00584162i | ||||
\(806\) | 3.10834 | + | 25.4231i | 0.109487 | + | 0.895490i | ||||
\(807\) | −3.73727 | − | 2.15771i | −0.131558 | − | 0.0759551i | ||||
\(808\) | −25.7349 | + | 31.6803i | −0.905350 | + | 1.11451i | ||||
\(809\) | 15.0603 | + | 26.0852i | 0.529491 | + | 0.917106i | 0.999408 | + | 0.0343953i | \(0.0109505\pi\) |
−0.469917 | + | 0.882711i | \(0.655716\pi\) | |||||||
\(810\) | −1.25428 | − | 0.533167i | −0.0440708 | − | 0.0187336i | ||||
\(811\) | 21.5947 | 0.758292 | 0.379146 | − | 0.925337i | \(-0.376218\pi\) | ||||
0.379146 | + | 0.925337i | \(0.376218\pi\) | |||||||
\(812\) | 12.5538 | − | 3.82468i | 0.440552 | − | 0.134220i | ||||
\(813\) | 13.5828 | 0.476371 | ||||||||
\(814\) | 19.5030 | + | 8.29032i | 0.683579 | + | 0.290575i | ||||
\(815\) | −1.93633 | − | 3.35382i | −0.0678266 | − | 0.117479i | ||||
\(816\) | 1.45997 | − | 2.32582i | 0.0511092 | − | 0.0814201i | ||||
\(817\) | −25.2601 | − | 14.5839i | −0.883740 | − | 0.510228i | ||||
\(818\) | −2.08769 | − | 17.0751i | −0.0729942 | − | 0.597018i | ||||
\(819\) | −8.32326 | + | 5.40576i | −0.290838 | + | 0.188892i | ||||
\(820\) | −17.6397 | + | 4.37889i | −0.616006 | + | 0.152917i | ||||
\(821\) | −25.1264 | + | 43.5202i | −0.876918 | + | 1.51887i | −0.0222131 | + | 0.999753i | \(0.507071\pi\) |
−0.854705 | + | 0.519114i | \(0.826262\pi\) | |||||||
\(822\) | −6.14930 | − | 8.16910i | −0.214482 | − | 0.284930i | ||||
\(823\) | 2.87338 | − | 1.65894i | 0.100160 | − | 0.0578272i | −0.449084 | − | 0.893490i | \(-0.648249\pi\) |
0.549243 | + | 0.835663i | \(0.314916\pi\) | |||||||
\(824\) | 6.71237 | − | 41.9628i | 0.233837 | − | 1.46184i | ||||
\(825\) | 22.3236i | 0.777209i | ||||||||
\(826\) | 16.2556 | − | 44.5976i | 0.565606 | − | 1.55175i | ||||
\(827\) | 29.3948i | 1.02216i | 0.859534 | + | 0.511078i | \(0.170754\pi\) | ||||
−0.859534 | + | 0.511078i | \(0.829246\pi\) | |||||||
\(828\) | 2.38496 | + | 0.686521i | 0.0828830 | + | 0.0238583i | ||||
\(829\) | 28.2980 | − | 16.3379i | 0.982830 | − | 0.567437i | 0.0797067 | − | 0.996818i | \(-0.474602\pi\) |
0.903123 | + | 0.429381i | \(0.141268\pi\) | |||||||
\(830\) | −0.592108 | + | 0.445710i | −0.0205524 | + | 0.0154708i | ||||
\(831\) | 1.03563 | − | 1.79376i | 0.0359256 | − | 0.0622250i | ||||
\(832\) | 20.0115 | + | 22.3629i | 0.693775 | + | 0.775294i | ||||
\(833\) | 4.39036 | + | 1.95421i | 0.152117 | + | 0.0677094i | ||||
\(834\) | 7.45133 | − | 0.911035i | 0.258019 | − | 0.0315465i | ||||
\(835\) | 12.2834 | + | 7.09184i | 0.425086 | + | 0.245423i | ||||
\(836\) | 38.5516 | − | 37.1526i | 1.33333 | − | 1.28495i | ||||
\(837\) | −2.41401 | − | 4.18119i | −0.0834403 | − | 0.144523i | ||||
\(838\) | 8.97611 | − | 21.1163i | 0.310075 | − | 0.729451i | ||||
\(839\) | 8.66161 | 0.299032 | 0.149516 | − | 0.988759i | \(-0.452228\pi\) | ||||
0.149516 | + | 0.988759i | \(0.452228\pi\) | |||||||
\(840\) | −7.17111 | − | 0.764509i | −0.247427 | − | 0.0263781i | ||||
\(841\) | −22.8491 | −0.787899 | ||||||||
\(842\) | −5.30272 | + | 12.4747i | −0.182744 | + | 0.429905i | ||||
\(843\) | 11.8561 | + | 20.5354i | 0.408346 | + | 0.707276i | ||||
\(844\) | −13.3157 | + | 12.8325i | −0.458346 | + | 0.441713i | ||||
\(845\) | −0.894073 | − | 0.516193i | −0.0307570 | − | 0.0177576i | ||||
\(846\) | 5.07465 | − | 0.620450i | 0.174470 | − | 0.0213315i | ||||
\(847\) | −27.4753 | − | 42.3038i | −0.944062 | − | 1.45358i | ||||
\(848\) | −14.4789 | + | 7.66057i | −0.497209 | + | 0.263065i | ||||
\(849\) | 6.12739 | − | 10.6129i | 0.210291 | − | 0.364235i | ||||
\(850\) | 3.15801 | − | 2.37720i | 0.108319 | − | 0.0815372i | ||||
\(851\) | 2.93688 | − | 1.69561i | 0.100675 | − | 0.0581248i | ||||
\(852\) | −19.4431 | − | 5.59677i | −0.666108 | − | 0.191742i | ||||
\(853\) | 7.17809i | 0.245773i | 0.992421 | + | 0.122887i | \(0.0392151\pi\) | ||||
−0.992421 | + | 0.122887i | \(0.960785\pi\) | |||||||
\(854\) | −6.74724 | − | 38.3696i | −0.230886 | − | 1.31298i | ||||
\(855\) | 4.70500i | 0.160908i | ||||||||
\(856\) | 33.8380 | + | 5.41274i | 1.15656 | + | 0.185004i | ||||
\(857\) | 39.5334 | − | 22.8246i | 1.35044 | − | 0.779675i | 0.362126 | − | 0.932129i | \(-0.382051\pi\) |
0.988311 | + | 0.152454i | \(0.0487176\pi\) | |||||||
\(858\) | −17.4938 | − | 23.2398i | −0.597229 | − | 0.793395i | ||||
\(859\) | −6.77944 | + | 11.7423i | −0.231311 | + | 0.400643i | −0.958194 | − | 0.286118i | \(-0.907635\pi\) |
0.726883 | + | 0.686761i | \(0.240968\pi\) | |||||||
\(860\) | −11.1759 | + | 2.77431i | −0.381096 | + | 0.0946033i | ||||
\(861\) | −1.30692 | − | 24.9145i | −0.0445396 | − | 0.849085i | ||||
\(862\) | 0.0260696 | + | 0.213223i | 0.000887934 | + | 0.00726240i | ||||
\(863\) | 36.0550 | + | 20.8163i | 1.22733 | + | 0.708597i | 0.966470 | − | 0.256781i | \(-0.0826620\pi\) |
0.260856 | + | 0.965378i | \(0.415995\pi\) | |||||||
\(864\) | −5.12071 | − | 2.40381i | −0.174210 | − | 0.0817794i | ||||
\(865\) | −5.61504 | − | 9.72554i | −0.190917 | − | 0.330678i | ||||
\(866\) | −12.3252 | − | 5.23920i | −0.418828 | − | 0.178035i | ||||
\(867\) | −16.5287 | −0.561344 | ||||||||
\(868\) | −18.6672 | − | 17.4416i | −0.633607 | − | 0.592005i | ||||
\(869\) | 7.75555 | 0.263089 | ||||||||
\(870\) | −3.11074 | − | 1.32231i | −0.105464 | − | 0.0448306i | ||||
\(871\) | −17.7026 | − | 30.6619i | −0.599831 | − | 1.03894i | ||||
\(872\) | −13.3286 | − | 10.8273i | −0.451364 | − | 0.366657i | ||||
\(873\) | −9.41780 | − | 5.43737i | −0.318744 | − | 0.184027i | ||||
\(874\) | −1.03979 | − | 8.50439i | −0.0351713 | − | 0.287665i | ||||
\(875\) | −20.6089 | − | 10.4995i | −0.696708 | − | 0.354948i | ||||
\(876\) | 3.20959 | + | 12.9294i | 0.108442 | + | 0.436843i | ||||
\(877\) | 9.84239 | − | 17.0475i | 0.332354 | − | 0.575654i | −0.650619 | − | 0.759404i | \(-0.725491\pi\) |
0.982973 | + | 0.183751i | \(0.0588239\pi\) | |||||||
\(878\) | 28.4706 | + | 37.8221i | 0.960837 | + | 1.27643i | ||||
\(879\) | 9.27427 | − | 5.35450i | 0.312813 | − | 0.180603i | ||||
\(880\) | 0.780950 | − | 21.1225i | 0.0263258 | − | 0.712040i | ||||
\(881\) | − | 7.24606i | − | 0.244126i | −0.992522 | − | 0.122063i | \(-0.961049\pi\) | ||
0.992522 | − | 0.122063i | \(-0.0389510\pi\) | |||||||
\(882\) | 2.89827 | − | 9.46573i | 0.0975899 | − | 0.318728i | ||||
\(883\) | 35.4533i | 1.19310i | 0.802577 | + | 0.596549i | \(0.203462\pi\) | ||||
−0.802577 | + | 0.596549i | \(0.796538\pi\) | |||||||
\(884\) | −1.42474 | + | 4.94953i | −0.0479193 | + | 0.166471i | ||||
\(885\) | −10.5880 | + | 6.11296i | −0.355911 | + | 0.205485i | ||||
\(886\) | −29.5524 | + | 22.2456i | −0.992833 | + | 0.747357i | ||||
\(887\) | 8.98684 | − | 15.5657i | 0.301749 | − | 0.522644i | −0.674784 | − | 0.738016i | \(-0.735763\pi\) |
0.976532 | + | 0.215372i | \(0.0690964\pi\) | |||||||
\(888\) | −7.22056 | + | 2.75899i | −0.242306 | + | 0.0925857i | ||||
\(889\) | 27.4479 | + | 13.9837i | 0.920572 | + | 0.468999i | ||||
\(890\) | 0.749976 | − | 0.0916955i | 0.0251392 | − | 0.00307364i | ||||
\(891\) | 4.74861 | + | 2.74161i | 0.159084 | + | 0.0918474i | ||||
\(892\) | −2.70053 | − | 2.80222i | −0.0904203 | − | 0.0938251i | ||||
\(893\) | −8.82463 | − | 15.2847i | −0.295305 | − | 0.511483i | ||||
\(894\) | −2.57901 | + | 6.06712i | −0.0862549 | + | 0.202915i | ||||
\(895\) | −2.50005 | −0.0835674 | ||||||||
\(896\) | −29.6270 | − | 4.27074i | −0.989770 | − | 0.142675i | ||||
\(897\) | −4.65483 | −0.155420 | ||||||||
\(898\) | 5.69389 | − | 13.3949i | 0.190008 | − | 0.446993i | ||||
\(899\) | −5.98700 | − | 10.3698i | −0.199678 | − | 0.345852i | ||||
\(900\) | −5.65027 | − | 5.86303i | −0.188342 | − | 0.195434i | ||||
\(901\) | −2.43475 | − | 1.40570i | −0.0811132 | − | 0.0468307i | ||||
\(902\) | 72.5820 | − | 8.87421i | 2.41672 | − | 0.295479i | ||||
\(903\) | −0.828017 | − | 15.7850i | −0.0275547 | − | 0.525292i | ||||
\(904\) | 19.4972 | − | 7.44992i | 0.648468 | − | 0.247781i | ||||
\(905\) | 4.59374 | − | 7.95658i | 0.152701 | − | 0.264486i | ||||
\(906\) | 13.7915 | − | 10.3816i | 0.458191 | − | 0.344904i | ||||
\(907\) | −7.60870 | + | 4.39289i | −0.252643 | + | 0.145863i | −0.620974 | − | 0.783831i | \(-0.713263\pi\) |
0.368331 | + | 0.929695i | \(0.379929\pi\) | |||||||
\(908\) | 4.78297 | − | 16.6159i | 0.158728 | − | 0.551419i | ||||
\(909\) | 14.4305i | 0.478631i | ||||||||
\(910\) | 13.3218 | − | 2.34262i | 0.441615 | − | 0.0776573i | ||||
\(911\) | 21.5478i | 0.713911i | 0.934121 | + | 0.356955i | \(0.116185\pi\) | ||||
−0.934121 | + | 0.356955i | \(0.883815\pi\) | |||||||
\(912\) | −0.721529 | + | 19.5154i | −0.0238922 | + | 0.646218i | ||||
\(913\) | 2.58220 | − | 1.49083i | 0.0854582 | − | 0.0493393i | ||||
\(914\) | 10.1479 | + | 13.4811i | 0.335663 | + | 0.445915i | ||||
\(915\) | −5.01711 | + | 8.68988i | −0.165860 | + | 0.287279i | ||||
\(916\) | −8.08983 | − | 32.5887i | −0.267295 | − | 1.07676i | ||||
\(917\) | 13.3467 | + | 20.5500i | 0.440747 | + | 0.678619i | ||||
\(918\) | −0.117828 | − | 0.963711i | −0.00388890 | − | 0.0318072i | ||||
\(919\) | −27.5939 | − | 15.9314i | −0.910240 | − | 0.525527i | −0.0297316 | − | 0.999558i | \(-0.509465\pi\) |
−0.880508 | + | 0.474031i | \(0.842799\pi\) | |||||||
\(920\) | −2.62537 | − | 2.13267i | −0.0865558 | − | 0.0703120i | ||||
\(921\) | 2.11028 | + | 3.65512i | 0.0695362 | + | 0.120440i | ||||
\(922\) | 39.0574 | + | 16.6025i | 1.28629 | + | 0.546774i | ||||
\(923\) | 37.9479 | 1.24907 | ||||||||
\(924\) | 28.2644 | + | 6.55444i | 0.929832 | + | 0.215625i | ||||
\(925\) | −11.1262 | −0.365828 | ||||||||
\(926\) | 17.2756 | + | 7.34352i | 0.567713 | + | 0.241323i | ||||
\(927\) | −7.51235 | − | 13.0118i | −0.246738 | − | 0.427363i | ||||
\(928\) | −12.6999 | − | 5.96171i | −0.416895 | − | 0.195703i | ||||
\(929\) | 44.1750 | + | 25.5044i | 1.44933 | + | 0.836773i | 0.998442 | − | 0.0558058i | \(-0.0177728\pi\) |
0.450892 | + | 0.892579i | \(0.351106\pi\) | |||||||
\(930\) | 0.798563 | + | 6.53143i | 0.0261859 | + | 0.214174i | ||||
\(931\) | −33.9876 | + | 3.57555i | −1.11390 | + | 0.117184i | ||||
\(932\) | −2.03148 | + | 0.504294i | −0.0665432 | + | 0.0165187i | ||||
\(933\) | 4.85070 | − | 8.40165i | 0.158805 | − | 0.275058i | ||||
\(934\) | −25.2172 | − | 33.5000i | −0.825131 | − | 1.09615i | ||||
\(935\) | 3.14171 | − | 1.81387i | 0.102745 | − | 0.0593199i | ||||
\(936\) | 10.4767 | + | 1.67586i | 0.342442 | + | 0.0547771i | ||||
\(937\) | − | 2.65742i | − | 0.0868141i | −0.999057 | − | 0.0434071i | \(-0.986179\pi\) | ||
0.999057 | − | 0.0434071i | \(-0.0138212\pi\) | |||||||
\(938\) | 33.1801 | + | 12.0940i | 1.08337 | + | 0.394884i | ||||
\(939\) | 13.6634i | 0.445887i | ||||||||
\(940\) | −6.69582 | − | 1.92742i | −0.218394 | − | 0.0628656i | ||||
\(941\) | 26.2920 | − | 15.1797i | 0.857096 | − | 0.494844i | −0.00594304 | − | 0.999982i | \(-0.501892\pi\) |
0.863039 | + | 0.505138i | \(0.168558\pi\) | |||||||
\(942\) | −24.7815 | + | 18.6543i | −0.807423 | + | 0.607789i | ||||
\(943\) | 5.85070 | − | 10.1337i | 0.190525 | − | 0.329999i | ||||
\(944\) | −44.8541 | + | 23.7316i | −1.45988 | + | 0.772397i | ||||
\(945\) | −2.13832 | + | 1.38879i | −0.0695597 | + | 0.0451774i | ||||
\(946\) | 45.9855 | − | 5.62240i | 1.49512 | − | 0.182800i | ||||
\(947\) | 37.6505 | + | 21.7375i | 1.22348 | + | 0.706374i | 0.965657 | − | 0.259819i | \(-0.0836630\pi\) |
0.257818 | + | 0.966193i | \(0.416996\pi\) | |||||||
\(948\) | −2.03690 | + | 1.96299i | −0.0661555 | + | 0.0637548i | ||||
\(949\) | −12.4931 | − | 21.6386i | −0.405542 | − | 0.702419i | ||||
\(950\) | −10.9966 | + | 25.8695i | −0.356777 | + | 0.839319i | ||||
\(951\) | −20.0884 | −0.651410 | ||||||||
\(952\) | −2.08260 | − | 4.69640i | −0.0674975 | − | 0.152211i | ||||
\(953\) | −53.8683 | −1.74497 | −0.872483 | − | 0.488645i | \(-0.837491\pi\) | ||||
−0.872483 | + | 0.488645i | \(0.837491\pi\) | |||||||
\(954\) | −2.26562 | + | 5.32987i | −0.0733520 | + | 0.172561i | ||||
\(955\) | 4.01518 | + | 6.95449i | 0.129928 | + | 0.225042i | ||||
\(956\) | 27.7190 | − | 26.7131i | 0.896496 | − | 0.863963i | ||||
\(957\) | 11.7771 | + | 6.79948i | 0.380698 | + | 0.219796i | ||||
\(958\) | −16.1930 | + | 1.97984i | −0.523173 | + | 0.0639656i | ||||
\(959\) | −19.1027 | + | 1.00205i | −0.616860 | + | 0.0323580i | ||||
\(960\) | 5.14115 | + | 5.74524i | 0.165930 | + | 0.185427i | ||||
\(961\) | 3.84512 | − | 6.65995i | 0.124036 | − | 0.214837i | ||||
\(962\) | 11.5829 | − | 8.71903i | 0.373447 | − | 0.281113i | ||||
\(963\) | 10.4925 | − | 6.05782i | 0.338115 | − | 0.195211i | ||||
\(964\) | 5.29862 | + | 1.52523i | 0.170657 | + | 0.0491244i | ||||
\(965\) | 11.9236i | 0.383835i | ||||||||
\(966\) | 3.55815 | − | 2.98283i | 0.114482 | − | 0.0959709i | ||||
\(967\) | 44.9529i | 1.44559i | 0.691064 | + | 0.722794i | \(0.257142\pi\) | ||||
−0.691064 | + | 0.722794i | \(0.742858\pi\) | |||||||
\(968\) | −8.51771 | + | 53.2490i | −0.273770 | + | 1.71149i | ||||
\(969\) | −2.90267 | + | 1.67586i | −0.0932472 | + | 0.0538363i | ||||
\(970\) | 8.91350 | + | 11.8412i | 0.286195 | + | 0.380199i | ||||
\(971\) | 0.641758 | − | 1.11156i | 0.0205950 | − | 0.0356716i | −0.855544 | − | 0.517730i | \(-0.826777\pi\) |
0.876139 | + | 0.482058i | \(0.160111\pi\) | |||||||
\(972\) | −1.94109 | + | 0.481855i | −0.0622604 | + | 0.0154555i | ||||
\(973\) | 6.37523 | − | 12.5136i | 0.204381 | − | 0.401167i | ||||
\(974\) | 1.67428 | + | 13.6939i | 0.0536474 | + | 0.438781i | ||||
\(975\) | 13.2259 | + | 7.63599i | 0.423569 | + | 0.244547i | ||||
\(976\) | −22.1425 | + | 35.2744i | −0.708765 | + | 1.12911i | ||||
\(977\) | −9.67678 | − | 16.7607i | −0.309588 | − | 0.536222i | 0.668684 | − | 0.743546i | \(-0.266858\pi\) |
−0.978272 | + | 0.207325i | \(0.933524\pi\) | |||||||
\(978\) | −5.23008 | − | 2.22320i | −0.167240 | − | 0.0710901i | ||||
\(979\) | −3.03979 | −0.0971520 | ||||||||
\(980\) | −8.68205 | + | 10.3274i | −0.277338 | + | 0.329896i | ||||
\(981\) | −6.07126 | −0.193840 | ||||||||
\(982\) | −52.6767 | − | 22.3918i | −1.68098 | − | 0.714550i | ||||
\(983\) | −4.21637 | − | 7.30296i | −0.134481 | − | 0.232928i | 0.790918 | − | 0.611922i | \(-0.209603\pi\) |
−0.925399 | + | 0.378994i | \(0.876270\pi\) | |||||||
\(984\) | −16.8167 | + | 20.7017i | −0.536096 | + | 0.659947i | ||||
\(985\) | 2.70148 | + | 1.55970i | 0.0860763 | + | 0.0496962i | ||||
\(986\) | −0.292225 | − | 2.39011i | −0.00930635 | − | 0.0761165i | ||||
\(987\) | 4.34178 | − | 8.52224i | 0.138200 | − | 0.271266i | ||||
\(988\) | −8.82463 | − | 35.5488i | −0.280749 | − | 1.13096i | ||||
\(989\) | 3.70680 | − | 6.42036i | 0.117869 | − | 0.204156i | ||||
\(990\) | −4.49433 | − | 5.97054i | −0.142839 | − | 0.189756i | ||||
\(991\) | 21.1967 | − | 12.2379i | 0.673334 | − | 0.388750i | −0.124005 | − | 0.992282i | \(-0.539574\pi\) |
0.797339 | + | 0.603532i | \(0.206240\pi\) | |||||||
\(992\) | 2.31065 | + | 27.2135i | 0.0733633 | + | 0.864029i | ||||
\(993\) | 9.42104i | 0.298968i | ||||||||
\(994\) | −29.0073 | + | 24.3171i | −0.920057 | + | 0.771292i | ||||
\(995\) | − | 18.5322i | − | 0.587511i | ||||||
\(996\) | −0.300843 | + | 1.04512i | −0.00953258 | + | 0.0331160i | ||||
\(997\) | −29.0273 | + | 16.7589i | −0.919304 | + | 0.530761i | −0.883413 | − | 0.468595i | \(-0.844760\pi\) |
−0.0358914 | + | 0.999356i | \(0.511427\pi\) | |||||||
\(998\) | −36.1168 | + | 27.1870i | −1.14326 | + | 0.860588i | ||||
\(999\) | −1.36643 | + | 2.36673i | −0.0432321 | + | 0.0748802i |
(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 | 84.2.o.b.19.3 | yes | 8 | |
3.2 | odd | 2 | 252.2.bf.f.19.2 | 8 | |||
4.3 | odd | 2 | 84.2.o.a.19.3 | ✓ | 8 | ||
7.2 | even | 3 | 588.2.b.a.391.2 | 8 | |||
7.3 | odd | 6 | 84.2.o.a.31.3 | yes | 8 | ||
7.4 | even | 3 | 588.2.o.d.31.3 | 8 | |||
7.5 | odd | 6 | 588.2.b.b.391.2 | 8 | |||
7.6 | odd | 2 | 588.2.o.b.19.3 | 8 | |||
8.3 | odd | 2 | 1344.2.bl.j.1279.2 | 8 | |||
8.5 | even | 2 | 1344.2.bl.i.1279.2 | 8 | |||
12.11 | even | 2 | 252.2.bf.g.19.2 | 8 | |||
21.2 | odd | 6 | 1764.2.b.j.1567.7 | 8 | |||
21.5 | even | 6 | 1764.2.b.i.1567.7 | 8 | |||
21.17 | even | 6 | 252.2.bf.g.199.2 | 8 | |||
28.3 | even | 6 | inner | 84.2.o.b.31.3 | yes | 8 | |
28.11 | odd | 6 | 588.2.o.b.31.3 | 8 | |||
28.19 | even | 6 | 588.2.b.a.391.1 | 8 | |||
28.23 | odd | 6 | 588.2.b.b.391.1 | 8 | |||
28.27 | even | 2 | 588.2.o.d.19.3 | 8 | |||
56.3 | even | 6 | 1344.2.bl.i.703.2 | 8 | |||
56.45 | odd | 6 | 1344.2.bl.j.703.2 | 8 | |||
84.23 | even | 6 | 1764.2.b.i.1567.8 | 8 | |||
84.47 | odd | 6 | 1764.2.b.j.1567.8 | 8 | |||
84.59 | odd | 6 | 252.2.bf.f.199.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.2.o.a.19.3 | ✓ | 8 | 4.3 | odd | 2 | ||
84.2.o.a.31.3 | yes | 8 | 7.3 | odd | 6 | ||
84.2.o.b.19.3 | yes | 8 | 1.1 | even | 1 | trivial | |
84.2.o.b.31.3 | yes | 8 | 28.3 | even | 6 | inner | |
252.2.bf.f.19.2 | 8 | 3.2 | odd | 2 | |||
252.2.bf.f.199.2 | 8 | 84.59 | odd | 6 | |||
252.2.bf.g.19.2 | 8 | 12.11 | even | 2 | |||
252.2.bf.g.199.2 | 8 | 21.17 | even | 6 | |||
588.2.b.a.391.1 | 8 | 28.19 | even | 6 | |||
588.2.b.a.391.2 | 8 | 7.2 | even | 3 | |||
588.2.b.b.391.1 | 8 | 28.23 | odd | 6 | |||
588.2.b.b.391.2 | 8 | 7.5 | odd | 6 | |||
588.2.o.b.19.3 | 8 | 7.6 | odd | 2 | |||
588.2.o.b.31.3 | 8 | 28.11 | odd | 6 | |||
588.2.o.d.19.3 | 8 | 28.27 | even | 2 | |||
588.2.o.d.31.3 | 8 | 7.4 | even | 3 | |||
1344.2.bl.i.703.2 | 8 | 56.3 | even | 6 | |||
1344.2.bl.i.1279.2 | 8 | 8.5 | even | 2 | |||
1344.2.bl.j.703.2 | 8 | 56.45 | odd | 6 | |||
1344.2.bl.j.1279.2 | 8 | 8.3 | odd | 2 | |||
1764.2.b.i.1567.7 | 8 | 21.5 | even | 6 | |||
1764.2.b.i.1567.8 | 8 | 84.23 | even | 6 | |||
1764.2.b.j.1567.7 | 8 | 21.2 | odd | 6 | |||
1764.2.b.j.1567.8 | 8 | 84.47 | odd | 6 |