Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [78,2,Mod(11,78)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(78, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("78.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 78 = 2 \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 78.k (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.622833135766\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 16.0.9349208943630483456.9 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + 9297 x^{8} - 11276 x^{7} + 11224 x^{6} - 9024 x^{5} + 5736 x^{4} - 2780 x^{3} + \cdots + 25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 41.4 | ||
Root | \(0.500000 + 1.00333i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 78.41 |
Dual form | 78.2.k.a.59.4 |
$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(67\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | ||||
\(3\) | 1.45865 | + | 0.933998i | 0.842150 | + | 0.539244i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −0.428520 | − | 0.428520i | −0.191640 | − | 0.191640i | 0.604765 | − | 0.796404i | \(-0.293267\pi\) |
−0.796404 | + | 0.604765i | \(0.793267\pi\) | |||||||
\(6\) | 1.27970 | − | 1.16721i | 0.522435 | − | 0.476510i | ||||
\(7\) | −0.735180 | + | 0.196991i | −0.277872 | + | 0.0744555i | −0.395064 | − | 0.918654i | \(-0.629277\pi\) |
0.117192 | + | 0.993109i | \(0.462611\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 1.25529 | + | 2.72474i | 0.418432 | + | 0.908248i | ||||
\(10\) | −0.524827 | + | 0.303009i | −0.165965 | + | 0.0958199i | ||||
\(11\) | −4.05922 | − | 1.08766i | −1.22390 | − | 0.327943i | −0.411699 | − | 0.911320i | \(-0.635064\pi\) |
−0.812201 | + | 0.583377i | \(0.801731\pi\) | |||||||
\(12\) | −0.796225 | − | 1.53819i | −0.229850 | − | 0.444037i | ||||
\(13\) | 0.601205 | − | 3.55507i | 0.166744 | − | 0.986000i | ||||
\(14\) | 0.761114i | 0.203416i | ||||||||
\(15\) | −0.224822 | − | 1.02529i | −0.0580487 | − | 0.264730i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −2.62362 | + | 4.54424i | −0.636320 | + | 1.10214i | 0.349914 | + | 0.936782i | \(0.386211\pi\) |
−0.986234 | + | 0.165357i | \(0.947122\pi\) | |||||||
\(18\) | 2.95680 | − | 0.507306i | 0.696923 | − | 0.119573i | ||||
\(19\) | 0.882911 | + | 3.29507i | 0.202554 | + | 0.755940i | 0.990181 | + | 0.139789i | \(0.0446424\pi\) |
−0.787628 | + | 0.616151i | \(0.788691\pi\) | |||||||
\(20\) | 0.156849 | + | 0.585369i | 0.0350725 | + | 0.130892i | ||||
\(21\) | −1.25636 | − | 0.399317i | −0.274159 | − | 0.0871381i | ||||
\(22\) | −2.10121 | + | 3.63939i | −0.447978 | + | 0.775921i | ||||
\(23\) | 0.933306 | + | 1.61653i | 0.194608 | + | 0.337071i | 0.946772 | − | 0.321905i | \(-0.104323\pi\) |
−0.752164 | + | 0.658976i | \(0.770990\pi\) | |||||||
\(24\) | −1.69185 | + | 0.370982i | −0.345348 | + | 0.0757264i | ||||
\(25\) | − | 4.63274i | − | 0.926548i | ||||||
\(26\) | −3.27833 | − | 1.50084i | −0.642934 | − | 0.294339i | ||||
\(27\) | −0.713876 | + | 5.14688i | −0.137386 | + | 0.990518i | ||||
\(28\) | 0.735180 | + | 0.196991i | 0.138936 | + | 0.0372278i | ||||
\(29\) | 7.53987 | − | 4.35315i | 1.40012 | − | 0.808359i | 0.405715 | − | 0.914000i | \(-0.367023\pi\) |
0.994404 | + | 0.105641i | \(0.0336893\pi\) | |||||||
\(30\) | −1.04855 | − | 0.0482047i | −0.191438 | − | 0.00880093i | ||||
\(31\) | −2.68240 | + | 2.68240i | −0.481773 | + | 0.481773i | −0.905697 | − | 0.423925i | \(-0.860652\pi\) |
0.423925 | + | 0.905697i | \(0.360652\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | −4.90508 | − | 5.37782i | −0.853865 | − | 0.936158i | ||||
\(34\) | 3.71035 | + | 3.71035i | 0.636320 | + | 0.636320i | ||||
\(35\) | 0.399453 | + | 0.230625i | 0.0675200 | + | 0.0389827i | ||||
\(36\) | 0.275255 | − | 2.98735i | 0.0458759 | − | 0.497891i | ||||
\(37\) | 1.52130 | − | 5.67758i | 0.250101 | − | 0.933389i | −0.720650 | − | 0.693299i | \(-0.756156\pi\) |
0.970751 | − | 0.240090i | \(-0.0771769\pi\) | |||||||
\(38\) | 3.41130 | 0.553387 | ||||||||
\(39\) | 4.19738 | − | 4.62407i | 0.672118 | − | 0.740444i | ||||
\(40\) | 0.606018 | 0.0958199 | ||||||||
\(41\) | 2.29545 | − | 8.56672i | 0.358488 | − | 1.33790i | −0.517549 | − | 0.855654i | \(-0.673155\pi\) |
0.876037 | − | 0.482243i | \(-0.160178\pi\) | |||||||
\(42\) | −0.710879 | + | 1.11020i | −0.109691 | + | 0.171307i | ||||
\(43\) | 1.68905 | + | 0.975173i | 0.257578 | + | 0.148712i | 0.623229 | − | 0.782039i | \(-0.285820\pi\) |
−0.365651 | + | 0.930752i | \(0.619154\pi\) | |||||||
\(44\) | 2.97155 | + | 2.97155i | 0.447978 | + | 0.447978i | ||||
\(45\) | 0.629688 | − | 1.70553i | 0.0938684 | − | 0.254245i | ||||
\(46\) | 1.80301 | − | 0.483115i | 0.265839 | − | 0.0712314i | ||||
\(47\) | 5.73474 | − | 5.73474i | 0.836498 | − | 0.836498i | −0.151898 | − | 0.988396i | \(-0.548539\pi\) |
0.988396 | + | 0.151898i | \(0.0485386\pi\) | |||||||
\(48\) | −0.0795432 | + | 1.73022i | −0.0114811 | + | 0.249736i | ||||
\(49\) | −5.56049 | + | 3.21035i | −0.794356 | + | 0.458622i | ||||
\(50\) | −4.47488 | − | 1.19904i | −0.632844 | − | 0.169570i | ||||
\(51\) | −8.07123 | + | 4.17798i | −1.13020 | + | 0.585034i | ||||
\(52\) | −2.29820 | + | 2.77818i | −0.318702 | + | 0.385265i | ||||
\(53\) | 9.01501i | 1.23831i | 0.785270 | + | 0.619153i | \(0.212524\pi\) | ||||
−0.785270 | + | 0.619153i | \(0.787476\pi\) | |||||||
\(54\) | 4.78674 | + | 2.02166i | 0.651393 | + | 0.275113i | ||||
\(55\) | 1.27337 | + | 2.20554i | 0.171701 | + | 0.297395i | ||||
\(56\) | 0.380557 | − | 0.659144i | 0.0508541 | − | 0.0880819i | ||||
\(57\) | −1.78973 | + | 5.63097i | −0.237056 | + | 0.745841i | ||||
\(58\) | −2.25335 | − | 8.40963i | −0.295880 | − | 1.10424i | ||||
\(59\) | 2.23614 | + | 8.34539i | 0.291121 | + | 1.08648i | 0.944249 | + | 0.329231i | \(0.106789\pi\) |
−0.653129 | + | 0.757247i | \(0.726544\pi\) | |||||||
\(60\) | −0.317946 | + | 1.00034i | −0.0410467 | + | 0.129144i | ||||
\(61\) | 4.06531 | − | 7.04132i | 0.520509 | − | 0.901548i | −0.479206 | − | 0.877702i | \(-0.659075\pi\) |
0.999716 | − | 0.0238462i | \(-0.00759119\pi\) | |||||||
\(62\) | 1.89674 | + | 3.28525i | 0.240886 | + | 0.417227i | ||||
\(63\) | −1.45962 | − | 1.75590i | −0.183894 | − | 0.221222i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −1.78105 | + | 1.26579i | −0.220912 | + | 0.157002i | ||||
\(66\) | −6.46410 | + | 3.34607i | −0.795676 | + | 0.411872i | ||||
\(67\) | −0.101205 | − | 0.0271179i | −0.0123642 | − | 0.00331297i | 0.252632 | − | 0.967563i | \(-0.418704\pi\) |
−0.264996 | + | 0.964250i | \(0.585371\pi\) | |||||||
\(68\) | 4.54424 | − | 2.62362i | 0.551069 | − | 0.318160i | ||||
\(69\) | −0.148476 | + | 3.22966i | −0.0178745 | + | 0.388805i | ||||
\(70\) | 0.326152 | − | 0.326152i | 0.0389827 | − | 0.0389827i | ||||
\(71\) | −10.0749 | + | 2.69957i | −1.19567 | + | 0.320380i | −0.801126 | − | 0.598496i | \(-0.795765\pi\) |
−0.394548 | + | 0.918875i | \(0.629099\pi\) | |||||||
\(72\) | −2.81431 | − | 1.03906i | −0.331670 | − | 0.122454i | ||||
\(73\) | 5.57806 | + | 5.57806i | 0.652863 | + | 0.652863i | 0.953681 | − | 0.300819i | \(-0.0972599\pi\) |
−0.300819 | + | 0.953681i | \(0.597260\pi\) | |||||||
\(74\) | −5.09038 | − | 2.93893i | −0.591745 | − | 0.341644i | ||||
\(75\) | 4.32697 | − | 6.75753i | 0.499636 | − | 0.780292i | ||||
\(76\) | 0.882911 | − | 3.29507i | 0.101277 | − | 0.377970i | ||||
\(77\) | 3.19851 | 0.364505 | ||||||||
\(78\) | −3.38015 | − | 5.25115i | −0.382726 | − | 0.594576i | ||||
\(79\) | −13.5805 | −1.52793 | −0.763963 | − | 0.645260i | \(-0.776749\pi\) | ||||
−0.763963 | + | 0.645260i | \(0.776749\pi\) | |||||||
\(80\) | 0.156849 | − | 0.585369i | 0.0175363 | − | 0.0654462i | ||||
\(81\) | −5.84847 | + | 6.84072i | −0.649830 | + | 0.760080i | ||||
\(82\) | −7.68071 | − | 4.43446i | −0.848193 | − | 0.489704i | ||||
\(83\) | 0.996926 | + | 0.996926i | 0.109427 | + | 0.109427i | 0.759700 | − | 0.650273i | \(-0.225346\pi\) |
−0.650273 | + | 0.759700i | \(0.725346\pi\) | |||||||
\(84\) | 0.888378 | + | 0.973996i | 0.0969300 | + | 0.106272i | ||||
\(85\) | 3.07156 | − | 0.823023i | 0.333158 | − | 0.0892694i | ||||
\(86\) | 1.37910 | − | 1.37910i | 0.148712 | − | 0.148712i | ||||
\(87\) | 15.0638 | + | 0.692527i | 1.61501 | + | 0.0742467i | ||||
\(88\) | 3.63939 | − | 2.10121i | 0.387961 | − | 0.223989i | ||||
\(89\) | −6.32442 | − | 1.69462i | −0.670388 | − | 0.179630i | −0.0924582 | − | 0.995717i | \(-0.529472\pi\) |
−0.577929 | + | 0.816087i | \(0.696139\pi\) | |||||||
\(90\) | −1.48444 | − | 1.04965i | −0.156473 | − | 0.110643i | ||||
\(91\) | 0.258323 | + | 2.73205i | 0.0270796 | + | 0.286397i | ||||
\(92\) | − | 1.86661i | − | 0.194608i | ||||||
\(93\) | −6.41802 | + | 1.40731i | −0.665518 | + | 0.145932i | ||||
\(94\) | −4.05507 | − | 7.02359i | −0.418249 | − | 0.724428i | ||||
\(95\) | 1.03366 | − | 1.79035i | 0.106051 | − | 0.183686i | ||||
\(96\) | 1.65068 | + | 0.524648i | 0.168472 | + | 0.0535466i | ||||
\(97\) | 4.07638 | + | 15.2132i | 0.413893 | + | 1.54467i | 0.787042 | + | 0.616900i | \(0.211612\pi\) |
−0.373148 | + | 0.927772i | \(0.621722\pi\) | |||||||
\(98\) | 1.66180 | + | 6.20192i | 0.167867 | + | 0.626489i | ||||
\(99\) | −2.13191 | − | 12.4257i | −0.214265 | − | 1.24883i | ||||
\(100\) | −2.31637 | + | 4.01207i | −0.231637 | + | 0.401207i | ||||
\(101\) | −1.63630 | − | 2.83416i | −0.162818 | − | 0.282009i | 0.773060 | − | 0.634333i | \(-0.218725\pi\) |
−0.935878 | + | 0.352323i | \(0.885392\pi\) | |||||||
\(102\) | 1.94663 | + | 8.87755i | 0.192745 | + | 0.879009i | ||||
\(103\) | 4.79880i | 0.472840i | 0.971651 | + | 0.236420i | \(0.0759741\pi\) | ||||
−0.971651 | + | 0.236420i | \(0.924026\pi\) | |||||||
\(104\) | 2.08870 | + | 2.93893i | 0.204814 | + | 0.288186i | ||||
\(105\) | 0.367258 | + | 0.709488i | 0.0358407 | + | 0.0692390i | ||||
\(106\) | 8.70783 | + | 2.33326i | 0.845779 | + | 0.226626i | ||||
\(107\) | 2.70638 | − | 1.56253i | 0.261635 | − | 0.151055i | −0.363445 | − | 0.931616i | \(-0.618400\pi\) |
0.625080 | + | 0.780560i | \(0.285066\pi\) | |||||||
\(108\) | 3.19168 | − | 4.10039i | 0.307119 | − | 0.394560i | ||||
\(109\) | −0.913996 | + | 0.913996i | −0.0875449 | + | 0.0875449i | −0.749523 | − | 0.661978i | \(-0.769717\pi\) |
0.661978 | + | 0.749523i | \(0.269717\pi\) | |||||||
\(110\) | 2.45996 | − | 0.659144i | 0.234548 | − | 0.0628469i | ||||
\(111\) | 7.52190 | − | 6.86069i | 0.713947 | − | 0.651188i | ||||
\(112\) | −0.538189 | − | 0.538189i | −0.0508541 | − | 0.0508541i | ||||
\(113\) | −6.03730 | − | 3.48564i | −0.567942 | − | 0.327901i | 0.188385 | − | 0.982095i | \(-0.439675\pi\) |
−0.756327 | + | 0.654194i | \(0.773008\pi\) | |||||||
\(114\) | 4.97588 | + | 3.18615i | 0.466034 | + | 0.298410i | ||||
\(115\) | 0.292776 | − | 1.09266i | 0.0273015 | − | 0.101891i | ||||
\(116\) | −8.70629 | −0.808359 | ||||||||
\(117\) | 10.4414 | − | 2.82454i | 0.965304 | − | 0.261128i | ||||
\(118\) | 8.63979 | 0.795357 | ||||||||
\(119\) | 1.03366 | − | 3.85766i | 0.0947551 | − | 0.353631i | ||||
\(120\) | 0.883966 | + | 0.566020i | 0.0806947 | + | 0.0516703i | ||||
\(121\) | 5.76795 | + | 3.33013i | 0.524359 | + | 0.302739i | ||||
\(122\) | −5.74921 | − | 5.74921i | −0.520509 | − | 0.520509i | ||||
\(123\) | 11.3495 | − | 10.3519i | 1.02335 | − | 0.933397i | ||||
\(124\) | 3.66422 | − | 0.981825i | 0.329057 | − | 0.0881705i | ||||
\(125\) | −4.12782 | + | 4.12782i | −0.369203 | + | 0.369203i | ||||
\(126\) | −2.07384 | + | 0.955423i | −0.184753 | + | 0.0851158i | ||||
\(127\) | −1.93554 | + | 1.11748i | −0.171751 | + | 0.0991607i | −0.583411 | − | 0.812177i | \(-0.698282\pi\) |
0.411660 | + | 0.911337i | \(0.364949\pi\) | |||||||
\(128\) | −0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | 1.55291 | + | 3.00000i | 0.136726 | + | 0.264135i | ||||
\(130\) | 0.761691 | + | 2.04797i | 0.0668047 | + | 0.179619i | ||||
\(131\) | − | 22.0856i | − | 1.92963i | −0.262938 | − | 0.964813i | \(-0.584692\pi\) | ||
0.262938 | − | 0.964813i | \(-0.415308\pi\) | |||||||
\(132\) | 1.55902 | + | 7.10987i | 0.135695 | + | 0.618835i | ||||
\(133\) | −1.29820 | − | 2.24854i | −0.112568 | − | 0.194973i | ||||
\(134\) | −0.0523877 | + | 0.0907381i | −0.00452561 | + | 0.00783858i | ||||
\(135\) | 2.51145 | − | 1.89963i | 0.216151 | − | 0.163494i | ||||
\(136\) | −1.35808 | − | 5.06844i | −0.116455 | − | 0.434615i | ||||
\(137\) | 2.58408 | + | 9.64392i | 0.220773 | + | 0.823935i | 0.984054 | + | 0.177869i | \(0.0569204\pi\) |
−0.763281 | + | 0.646066i | \(0.776413\pi\) | |||||||
\(138\) | 3.08118 | + | 0.979314i | 0.262287 | + | 0.0833647i | ||||
\(139\) | 1.88252 | − | 3.26061i | 0.159673 | − | 0.276562i | −0.775078 | − | 0.631866i | \(-0.782289\pi\) |
0.934751 | + | 0.355304i | \(0.115623\pi\) | |||||||
\(140\) | −0.230625 | − | 0.399453i | −0.0194913 | − | 0.0337600i | ||||
\(141\) | 13.7212 | − | 3.00872i | 1.15553 | − | 0.253380i | ||||
\(142\) | 10.4303i | 0.875294i | ||||||||
\(143\) | −6.30715 | + | 13.7769i | −0.527430 | + | 1.15208i | ||||
\(144\) | −1.73205 | + | 2.44949i | −0.144338 | + | 0.204124i | ||||
\(145\) | −5.09639 | − | 1.36557i | −0.423232 | − | 0.113405i | ||||
\(146\) | 6.83170 | − | 3.94429i | 0.565396 | − | 0.326431i | ||||
\(147\) | −11.1093 | − | 0.510724i | −0.916276 | − | 0.0421238i | ||||
\(148\) | −4.15628 | + | 4.15628i | −0.341644 | + | 0.341644i | ||||
\(149\) | −8.42964 | + | 2.25872i | −0.690583 | + | 0.185041i | −0.587009 | − | 0.809581i | \(-0.699695\pi\) |
−0.103574 | + | 0.994622i | \(0.533028\pi\) | |||||||
\(150\) | −5.40737 | − | 5.92851i | −0.441510 | − | 0.484061i | ||||
\(151\) | −17.3671 | − | 17.3671i | −1.41331 | − | 1.41331i | −0.731885 | − | 0.681429i | \(-0.761359\pi\) |
−0.681429 | − | 0.731885i | \(-0.738641\pi\) | |||||||
\(152\) | −2.95428 | − | 1.70565i | −0.239623 | − | 0.138347i | ||||
\(153\) | −15.6753 | − | 1.44433i | −1.26727 | − | 0.116767i | ||||
\(154\) | 0.827836 | − | 3.08953i | 0.0667090 | − | 0.248961i | ||||
\(155\) | 2.29892 | 0.184654 | ||||||||
\(156\) | −5.94707 | + | 1.90587i | −0.476147 | + | 0.152592i | ||||
\(157\) | 11.0713 | 0.883589 | 0.441794 | − | 0.897116i | \(-0.354342\pi\) | ||||
0.441794 | + | 0.897116i | \(0.354342\pi\) | |||||||
\(158\) | −3.51489 | + | 13.1178i | −0.279630 | + | 1.04359i | ||||
\(159\) | −8.42000 | + | 13.1497i | −0.667750 | + | 1.04284i | ||||
\(160\) | −0.524827 | − | 0.303009i | −0.0414912 | − | 0.0239550i | ||||
\(161\) | −1.00459 | − | 1.00459i | −0.0791728 | − | 0.0791728i | ||||
\(162\) | 5.09393 | + | 7.41970i | 0.400217 | + | 0.582946i | ||||
\(163\) | −5.07638 | + | 1.36021i | −0.397613 | + | 0.106540i | −0.452084 | − | 0.891975i | \(-0.649319\pi\) |
0.0544714 | + | 0.998515i | \(0.482653\pi\) | |||||||
\(164\) | −6.27128 | + | 6.27128i | −0.489704 | + | 0.489704i | ||||
\(165\) | −0.202576 | + | 4.40643i | −0.0157705 | + | 0.343040i | ||||
\(166\) | 1.22098 | − | 0.704933i | 0.0947664 | − | 0.0547134i | ||||
\(167\) | 15.1927 | + | 4.07088i | 1.17565 | + | 0.315014i | 0.793200 | − | 0.608962i | \(-0.208414\pi\) |
0.382450 | + | 0.923976i | \(0.375080\pi\) | |||||||
\(168\) | 1.17074 | − | 0.606018i | 0.0903244 | − | 0.0467553i | ||||
\(169\) | −12.2771 | − | 4.27466i | −0.944393 | − | 0.328820i | ||||
\(170\) | − | 3.17992i | − | 0.243889i | ||||||
\(171\) | −7.86990 | + | 6.54199i | −0.601827 | + | 0.500278i | ||||
\(172\) | −0.975173 | − | 1.68905i | −0.0743562 | − | 0.128789i | ||||
\(173\) | 2.71186 | − | 4.69708i | 0.206179 | − | 0.357113i | −0.744329 | − | 0.667813i | \(-0.767230\pi\) |
0.950508 | + | 0.310701i | \(0.100564\pi\) | |||||||
\(174\) | 4.56774 | − | 14.3713i | 0.346279 | − | 1.08949i | ||||
\(175\) | 0.912608 | + | 3.40590i | 0.0689867 | + | 0.257462i | ||||
\(176\) | −1.08766 | − | 4.05922i | −0.0819857 | − | 0.305975i | ||||
\(177\) | −4.53284 | + | 14.2615i | −0.340709 | + | 1.07196i | ||||
\(178\) | −3.27376 | + | 5.67032i | −0.245379 | + | 0.425009i | ||||
\(179\) | 5.19042 | + | 8.99007i | 0.387950 | + | 0.671949i | 0.992174 | − | 0.124866i | \(-0.0398500\pi\) |
−0.604224 | + | 0.796815i | \(0.706517\pi\) | |||||||
\(180\) | −1.39809 | + | 1.16218i | −0.104207 | + | 0.0866241i | ||||
\(181\) | − | 11.1172i | − | 0.826335i | −0.910655 | − | 0.413167i | \(-0.864422\pi\) | ||
0.910655 | − | 0.413167i | \(-0.135578\pi\) | |||||||
\(182\) | 2.70582 | + | 0.457586i | 0.200569 | + | 0.0339185i | ||||
\(183\) | 12.5064 | − | 6.47380i | 0.924501 | − | 0.478557i | ||||
\(184\) | −1.80301 | − | 0.483115i | −0.132920 | − | 0.0356157i | ||||
\(185\) | −3.08486 | + | 1.78105i | −0.226804 | + | 0.130945i | ||||
\(186\) | −0.301746 | + | 6.56357i | −0.0221251 | + | 0.481264i | ||||
\(187\) | 15.5924 | − | 15.5924i | 1.14023 | − | 1.14023i | ||||
\(188\) | −7.83380 | + | 2.09906i | −0.571339 | + | 0.153090i | ||||
\(189\) | −0.489061 | − | 3.92451i | −0.0355740 | − | 0.285466i | ||||
\(190\) | −1.46181 | − | 1.46181i | −0.106051 | − | 0.106051i | ||||
\(191\) | −4.96444 | − | 2.86622i | −0.359214 | − | 0.207392i | 0.309522 | − | 0.950892i | \(-0.399831\pi\) |
−0.668736 | + | 0.743500i | \(0.733164\pi\) | |||||||
\(192\) | 0.933998 | − | 1.45865i | 0.0674055 | − | 0.105269i | ||||
\(193\) | −2.93615 | + | 10.9578i | −0.211348 | + | 0.788763i | 0.776072 | + | 0.630645i | \(0.217209\pi\) |
−0.987420 | + | 0.158118i | \(0.949457\pi\) | |||||||
\(194\) | 15.7499 | 1.13078 | ||||||||
\(195\) | −3.78016 | + | 0.182846i | −0.270703 | + | 0.0130938i | ||||
\(196\) | 6.42071 | 0.458622 | ||||||||
\(197\) | 1.21210 | − | 4.52361i | 0.0863584 | − | 0.322294i | −0.909210 | − | 0.416339i | \(-0.863313\pi\) |
0.995568 | + | 0.0940449i | \(0.0299797\pi\) | |||||||
\(198\) | −12.5541 | − | 1.15674i | −0.892178 | − | 0.0822056i | ||||
\(199\) | 11.1741 | + | 6.45135i | 0.792108 | + | 0.457324i | 0.840704 | − | 0.541495i | \(-0.182141\pi\) |
−0.0485961 | + | 0.998819i | \(0.515475\pi\) | |||||||
\(200\) | 3.27584 | + | 3.27584i | 0.231637 | + | 0.231637i | ||||
\(201\) | −0.122295 | − | 0.134081i | −0.00862599 | − | 0.00945734i | ||||
\(202\) | −3.16109 | + | 0.847012i | −0.222414 | + | 0.0595956i | ||||
\(203\) | −4.68563 | + | 4.68563i | −0.328867 | + | 0.328867i | ||||
\(204\) | 9.07888 | + | 0.417382i | 0.635649 | + | 0.0292226i | ||||
\(205\) | −4.65465 | + | 2.68736i | −0.325095 | + | 0.187694i | ||||
\(206\) | 4.63529 | + | 1.24202i | 0.322956 | + | 0.0865357i | ||||
\(207\) | −3.23307 | + | 4.57225i | −0.224714 | + | 0.317793i | ||||
\(208\) | 3.37939 | − | 1.25688i | 0.234318 | − | 0.0871488i | ||||
\(209\) | − | 14.3357i | − | 0.991621i | ||||||
\(210\) | 0.780367 | − | 0.171115i | 0.0538504 | − | 0.0118081i | ||||
\(211\) | 2.63979 | + | 4.57225i | 0.181731 | + | 0.314767i | 0.942470 | − | 0.334291i | \(-0.108497\pi\) |
−0.760739 | + | 0.649057i | \(0.775163\pi\) | |||||||
\(212\) | 4.50750 | − | 7.80723i | 0.309577 | − | 0.536203i | ||||
\(213\) | −17.2171 | − | 5.47225i | −1.17970 | − | 0.374952i | ||||
\(214\) | −0.808823 | − | 3.01857i | −0.0552900 | − | 0.206345i | ||||
\(215\) | −0.305910 | − | 1.14167i | −0.0208629 | − | 0.0778613i | ||||
\(216\) | −3.13461 | − | 4.14418i | −0.213283 | − | 0.281976i | ||||
\(217\) | 1.44364 | − | 2.50045i | 0.0980004 | − | 0.169742i | ||||
\(218\) | 0.646293 | + | 1.11941i | 0.0437725 | + | 0.0758161i | ||||
\(219\) | 2.92652 | + | 13.3463i | 0.197756 | + | 0.901860i | ||||
\(220\) | − | 2.54674i | − | 0.171701i | ||||||
\(221\) | 14.5778 | + | 12.0592i | 0.980606 | + | 0.811187i | ||||
\(222\) | −4.68011 | − | 9.04127i | −0.314108 | − | 0.606810i | ||||
\(223\) | −3.42925 | − | 0.918866i | −0.229640 | − | 0.0615318i | 0.142164 | − | 0.989843i | \(-0.454594\pi\) |
−0.371804 | + | 0.928311i | \(0.621261\pi\) | |||||||
\(224\) | −0.659144 | + | 0.380557i | −0.0440409 | + | 0.0254270i | ||||
\(225\) | 12.6230 | − | 5.81546i | 0.841536 | − | 0.387697i | ||||
\(226\) | −4.92944 | + | 4.92944i | −0.327901 | + | 0.327901i | ||||
\(227\) | 4.85544 | − | 1.30101i | 0.322267 | − | 0.0863512i | −0.0940589 | − | 0.995567i | \(-0.529984\pi\) |
0.416326 | + | 0.909215i | \(0.363318\pi\) | |||||||
\(228\) | 4.36544 | − | 3.98170i | 0.289108 | − | 0.263694i | ||||
\(229\) | 11.3889 | + | 11.3889i | 0.752602 | + | 0.752602i | 0.974964 | − | 0.222362i | \(-0.0713767\pi\) |
−0.222362 | + | 0.974964i | \(0.571377\pi\) | |||||||
\(230\) | −0.979649 | − | 0.565601i | −0.0645961 | − | 0.0372946i | ||||
\(231\) | 4.66550 | + | 2.98741i | 0.306967 | + | 0.196557i | ||||
\(232\) | −2.25335 | + | 8.40963i | −0.147940 | + | 0.552120i | ||||
\(233\) | 22.3807 | 1.46621 | 0.733103 | − | 0.680117i | \(-0.238071\pi\) | ||||
0.733103 | + | 0.680117i | \(0.238071\pi\) | |||||||
\(234\) | −0.0258691 | − | 10.8166i | −0.00169112 | − | 0.707105i | ||||
\(235\) | −4.91490 | −0.320613 | ||||||||
\(236\) | 2.23614 | − | 8.34539i | 0.145560 | − | 0.543239i | ||||
\(237\) | −19.8092 | − | 12.6842i | −1.28674 | − | 0.823925i | ||||
\(238\) | −3.45868 | − | 1.99687i | −0.224193 | − | 0.129438i | ||||
\(239\) | −6.08236 | − | 6.08236i | −0.393435 | − | 0.393435i | 0.482475 | − | 0.875910i | \(-0.339738\pi\) |
−0.875910 | + | 0.482475i | \(0.839738\pi\) | |||||||
\(240\) | 0.775521 | − | 0.707349i | 0.0500596 | − | 0.0456592i | ||||
\(241\) | 5.93615 | − | 1.59059i | 0.382381 | − | 0.102459i | −0.0625080 | − | 0.998044i | \(-0.519910\pi\) |
0.444889 | + | 0.895586i | \(0.353243\pi\) | |||||||
\(242\) | 4.70951 | − | 4.70951i | 0.302739 | − | 0.302739i | ||||
\(243\) | −14.9201 | + | 4.51572i | −0.957122 | + | 0.289684i | ||||
\(244\) | −7.04132 | + | 4.06531i | −0.450774 | + | 0.260255i | ||||
\(245\) | 3.75848 | + | 1.00708i | 0.240120 | + | 0.0643401i | ||||
\(246\) | −7.06166 | − | 13.6421i | −0.450235 | − | 0.869787i | ||||
\(247\) | 12.2450 | − | 1.15780i | 0.779132 | − | 0.0736691i | ||||
\(248\) | − | 3.79348i | − | 0.240886i | ||||||
\(249\) | 0.523035 | + | 2.38529i | 0.0331460 | + | 0.151162i | ||||
\(250\) | 2.91881 | + | 5.05553i | 0.184602 | + | 0.319739i | ||||
\(251\) | 6.27808 | − | 10.8740i | 0.396269 | − | 0.686358i | −0.596993 | − | 0.802246i | \(-0.703638\pi\) |
0.993262 | + | 0.115888i | \(0.0369714\pi\) | |||||||
\(252\) | 0.386118 | + | 2.25046i | 0.0243231 | + | 0.141766i | ||||
\(253\) | −2.03025 | − | 7.57698i | −0.127641 | − | 0.476361i | ||||
\(254\) | 0.578452 | + | 2.15881i | 0.0362953 | + | 0.135456i | ||||
\(255\) | 5.24903 | + | 1.66834i | 0.328707 | + | 0.104475i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −2.36891 | − | 4.10307i | −0.147768 | − | 0.255942i | 0.782634 | − | 0.622482i | \(-0.213876\pi\) |
−0.930402 | + | 0.366540i | \(0.880542\pi\) | |||||||
\(258\) | 3.29970 | − | 0.723543i | 0.205430 | − | 0.0450458i | ||||
\(259\) | 4.47373i | 0.277984i | ||||||||
\(260\) | 2.17533 | − | 0.205683i | 0.134908 | − | 0.0127559i | ||||
\(261\) | 21.3260 | + | 15.0797i | 1.32004 | + | 0.933413i | ||||
\(262\) | −21.3330 | − | 5.71617i | −1.31796 | − | 0.353146i | ||||
\(263\) | −4.90945 | + | 2.83447i | −0.302730 | + | 0.174781i | −0.643668 | − | 0.765304i | \(-0.722588\pi\) |
0.340939 | + | 0.940085i | \(0.389255\pi\) | |||||||
\(264\) | 7.27111 | + | 0.334273i | 0.447506 | + | 0.0205731i | ||||
\(265\) | 3.86311 | − | 3.86311i | 0.237309 | − | 0.237309i | ||||
\(266\) | −2.50792 | + | 0.671996i | −0.153771 | + | 0.0412027i | ||||
\(267\) | −7.64232 | − | 8.37886i | −0.467702 | − | 0.512778i | ||||
\(268\) | 0.0740874 | + | 0.0740874i | 0.00452561 | + | 0.00452561i | ||||
\(269\) | −6.32711 | − | 3.65296i | −0.385770 | − | 0.222725i | 0.294555 | − | 0.955634i | \(-0.404828\pi\) |
−0.680326 | + | 0.732910i | \(0.738162\pi\) | |||||||
\(270\) | −1.18489 | − | 2.91753i | −0.0721101 | − | 0.177555i | ||||
\(271\) | −6.34829 | + | 23.6922i | −0.385631 | + | 1.43920i | 0.451538 | + | 0.892252i | \(0.350876\pi\) |
−0.837169 | + | 0.546944i | \(0.815791\pi\) | |||||||
\(272\) | −5.24723 | −0.318160 | ||||||||
\(273\) | −2.17493 | + | 4.22637i | −0.131633 | + | 0.255791i | ||||
\(274\) | 9.98412 | 0.603162 | ||||||||
\(275\) | −5.03887 | + | 18.8053i | −0.303855 | + | 1.13400i | ||||
\(276\) | 1.74341 | − | 2.72273i | 0.104941 | − | 0.163889i | ||||
\(277\) | −7.57448 | − | 4.37313i | −0.455107 | − | 0.262756i | 0.254878 | − | 0.966973i | \(-0.417965\pi\) |
−0.709984 | + | 0.704217i | \(0.751298\pi\) | |||||||
\(278\) | −2.66228 | − | 2.66228i | −0.159673 | − | 0.159673i | ||||
\(279\) | −10.6760 | − | 3.94165i | −0.639158 | − | 0.235980i | ||||
\(280\) | −0.445532 | + | 0.119380i | −0.0266257 | + | 0.00713432i | ||||
\(281\) | −9.49571 | + | 9.49571i | −0.566467 | + | 0.566467i | −0.931137 | − | 0.364670i | \(-0.881182\pi\) |
0.364670 | + | 0.931137i | \(0.381182\pi\) | |||||||
\(282\) | 0.645107 | − | 14.0324i | 0.0384156 | − | 0.835615i | ||||
\(283\) | 27.2245 | − | 15.7181i | 1.61833 | − | 0.934342i | 0.630975 | − | 0.775803i | \(-0.282655\pi\) |
0.987353 | − | 0.158539i | \(-0.0506782\pi\) | |||||||
\(284\) | 10.0749 | + | 2.69957i | 0.597837 | + | 0.160190i | ||||
\(285\) | 3.17992 | − | 1.64605i | 0.188362 | − | 0.0975034i | ||||
\(286\) | 11.6751 | + | 9.65796i | 0.690361 | + | 0.571087i | ||||
\(287\) | 6.75026i | 0.398455i | ||||||||
\(288\) | 1.91774 | + | 2.30701i | 0.113004 | + | 0.135942i | ||||
\(289\) | −5.26672 | − | 9.12222i | −0.309807 | − | 0.536601i | ||||
\(290\) | −2.63809 | + | 4.56930i | −0.154914 | + | 0.268319i | ||||
\(291\) | −8.26316 | + | 25.9981i | −0.484395 | + | 1.52403i | ||||
\(292\) | −2.04171 | − | 7.61977i | −0.119482 | − | 0.445914i | ||||
\(293\) | 0.542185 | + | 2.02346i | 0.0316748 | + | 0.118212i | 0.979953 | − | 0.199228i | \(-0.0638435\pi\) |
−0.948278 | + | 0.317440i | \(0.897177\pi\) | |||||||
\(294\) | −3.36861 | + | 10.5985i | −0.196461 | + | 0.618119i | ||||
\(295\) | 2.61794 | − | 4.53440i | 0.152422 | − | 0.264003i | ||||
\(296\) | 2.93893 | + | 5.09038i | 0.170822 | + | 0.295872i | ||||
\(297\) | 8.49585 | − | 20.1158i | 0.492979 | − | 1.16724i | ||||
\(298\) | 8.72701i | 0.505542i | ||||||||
\(299\) | 6.30801 | − | 2.34610i | 0.364801 | − | 0.135679i | ||||
\(300\) | −7.12603 | + | 3.68871i | −0.411422 | + | 0.212968i | ||||
\(301\) | −1.43385 | − | 0.384200i | −0.0826460 | − | 0.0221449i | ||||
\(302\) | −21.2702 | + | 12.2804i | −1.22397 | + | 0.706657i | ||||
\(303\) | 0.260313 | − | 5.66234i | 0.0149546 | − | 0.325293i | ||||
\(304\) | −2.41216 | + | 2.41216i | −0.138347 | + | 0.138347i | ||||
\(305\) | −4.75941 | + | 1.27528i | −0.272523 | + | 0.0730223i | ||||
\(306\) | −5.45218 | + | 14.7674i | −0.311680 | + | 0.844193i | ||||
\(307\) | 1.91340 | + | 1.91340i | 0.109203 | + | 0.109203i | 0.759597 | − | 0.650394i | \(-0.225396\pi\) |
−0.650394 | + | 0.759597i | \(0.725396\pi\) | |||||||
\(308\) | −2.76999 | − | 1.59926i | −0.157835 | − | 0.0911261i | ||||
\(309\) | −4.48207 | + | 6.99975i | −0.254976 | + | 0.398202i | ||||
\(310\) | 0.595004 | − | 2.22059i | 0.0337940 | − | 0.126121i | ||||
\(311\) | −7.19354 | −0.407908 | −0.203954 | − | 0.978980i | \(-0.565379\pi\) | ||||
−0.203954 | + | 0.978980i | \(0.565379\pi\) | |||||||
\(312\) | 0.301716 | + | 6.23771i | 0.0170813 | + | 0.353141i | ||||
\(313\) | −14.6520 | −0.828180 | −0.414090 | − | 0.910236i | \(-0.635900\pi\) | ||||
−0.414090 | + | 0.910236i | \(0.635900\pi\) | |||||||
\(314\) | 2.86547 | − | 10.6941i | 0.161708 | − | 0.603502i | ||||
\(315\) | −0.126961 | + | 1.37791i | −0.00715345 | + | 0.0776365i | ||||
\(316\) | 11.7611 | + | 6.79025i | 0.661612 | + | 0.381982i | ||||
\(317\) | −3.93077 | − | 3.93077i | −0.220774 | − | 0.220774i | 0.588050 | − | 0.808824i | \(-0.299896\pi\) |
−0.808824 | + | 0.588050i | \(0.799896\pi\) | |||||||
\(318\) | 10.5224 | + | 11.5365i | 0.590066 | + | 0.646934i | ||||
\(319\) | −35.3407 | + | 9.46952i | −1.97870 | + | 0.530191i | ||||
\(320\) | −0.428520 | + | 0.428520i | −0.0239550 | + | 0.0239550i | ||||
\(321\) | 5.40704 | + | 0.248577i | 0.301792 | + | 0.0138742i | ||||
\(322\) | −1.23037 | + | 0.710353i | −0.0685657 | + | 0.0395864i | ||||
\(323\) | −17.2900 | − | 4.63284i | −0.962040 | − | 0.257778i | ||||
\(324\) | 8.48528 | − | 3.00000i | 0.471405 | − | 0.166667i | ||||
\(325\) | −16.4697 | − | 2.78523i | −0.913577 | − | 0.154497i | ||||
\(326\) | 5.25545i | 0.291073i | ||||||||
\(327\) | −2.18687 | + | 0.479526i | −0.120934 | + | 0.0265178i | ||||
\(328\) | 4.43446 | + | 7.68071i | 0.244852 | + | 0.424096i | ||||
\(329\) | −3.08637 | + | 5.34576i | −0.170157 | + | 0.294721i | ||||
\(330\) | 4.20385 | + | 1.33614i | 0.231414 | + | 0.0735521i | ||||
\(331\) | −5.11244 | − | 19.0799i | −0.281005 | − | 1.04873i | −0.951709 | − | 0.307000i | \(-0.900675\pi\) |
0.670704 | − | 0.741725i | \(-0.265992\pi\) | |||||||
\(332\) | −0.364900 | − | 1.36183i | −0.0200265 | − | 0.0747399i | ||||
\(333\) | 17.3797 | − | 2.98188i | 0.952399 | − | 0.163406i | ||||
\(334\) | 7.86434 | − | 13.6214i | 0.430318 | − | 0.745332i | ||||
\(335\) | 0.0317479 | + | 0.0549890i | 0.00173457 | + | 0.00300437i | ||||
\(336\) | −0.282360 | − | 1.28769i | −0.0154040 | − | 0.0702495i | ||||
\(337\) | − | 16.3889i | − | 0.892762i | −0.894843 | − | 0.446381i | \(-0.852713\pi\) | ||
0.894843 | − | 0.446381i | \(-0.147287\pi\) | |||||||
\(338\) | −7.30655 | + | 10.7524i | −0.397424 | + | 0.584854i | ||||
\(339\) | −5.55071 | − | 10.7231i | −0.301473 | − | 0.582401i | ||||
\(340\) | −3.07156 | − | 0.823023i | −0.166579 | − | 0.0446347i | ||||
\(341\) | 13.8060 | − | 7.97088i | 0.747635 | − | 0.431647i | ||||
\(342\) | 4.28219 | + | 9.29493i | 0.231554 | + | 0.502612i | ||||
\(343\) | 7.22288 | − | 7.22288i | 0.389999 | − | 0.389999i | ||||
\(344\) | −1.88389 | + | 0.504787i | −0.101572 | + | 0.0272163i | ||||
\(345\) | 1.44760 | − | 1.32035i | 0.0779360 | − | 0.0710851i | ||||
\(346\) | −3.83515 | − | 3.83515i | −0.206179 | − | 0.206179i | ||||
\(347\) | −18.7272 | − | 10.8122i | −1.00533 | − | 0.580427i | −0.0955087 | − | 0.995429i | \(-0.530448\pi\) |
−0.909821 | + | 0.415001i | \(0.863781\pi\) | |||||||
\(348\) | −12.6994 | − | 8.13166i | −0.680759 | − | 0.435903i | ||||
\(349\) | −0.503975 | + | 1.88086i | −0.0269771 | + | 0.100680i | −0.978102 | − | 0.208127i | \(-0.933263\pi\) |
0.951125 | + | 0.308807i | \(0.0999298\pi\) | |||||||
\(350\) | 3.52605 | 0.188475 | ||||||||
\(351\) | 17.8684 | + | 5.63221i | 0.953742 | + | 0.300625i | ||||
\(352\) | −4.20241 | −0.223989 | ||||||||
\(353\) | −6.02369 | + | 22.4807i | −0.320609 | + | 1.19653i | 0.598045 | + | 0.801463i | \(0.295945\pi\) |
−0.918653 | + | 0.395065i | \(0.870722\pi\) | |||||||
\(354\) | 12.6024 | + | 8.06955i | 0.669810 | + | 0.428892i | ||||
\(355\) | 5.47412 | + | 3.16049i | 0.290536 | + | 0.167741i | ||||
\(356\) | 4.62980 | + | 4.62980i | 0.245379 | + | 0.245379i | ||||
\(357\) | 5.11078 | − | 4.66152i | 0.270491 | − | 0.246714i | ||||
\(358\) | 10.0271 | − | 2.68676i | 0.529950 | − | 0.142000i | ||||
\(359\) | 15.8859 | − | 15.8859i | 0.838428 | − | 0.838428i | −0.150224 | − | 0.988652i | \(-0.548000\pi\) |
0.988652 | + | 0.150224i | \(0.0479996\pi\) | |||||||
\(360\) | 0.760732 | + | 1.65125i | 0.0400941 | + | 0.0870283i | ||||
\(361\) | 6.37655 | − | 3.68150i | 0.335608 | − | 0.193763i | ||||
\(362\) | −10.7384 | − | 2.87734i | −0.564397 | − | 0.151230i | ||||
\(363\) | 5.30306 | + | 10.2447i | 0.278339 | + | 0.537709i | ||||
\(364\) | 1.14231 | − | 2.49519i | 0.0598734 | − | 0.130783i | ||||
\(365\) | − | 4.78062i | − | 0.250229i | ||||||
\(366\) | −3.01631 | − | 13.7558i | −0.157665 | − | 0.719028i | ||||
\(367\) | −0.300881 | − | 0.521141i | −0.0157059 | − | 0.0272034i | 0.858066 | − | 0.513540i | \(-0.171666\pi\) |
−0.873772 | + | 0.486337i | \(0.838333\pi\) | |||||||
\(368\) | −0.933306 | + | 1.61653i | −0.0486519 | + | 0.0842676i | ||||
\(369\) | 26.2236 | − | 4.49926i | 1.36515 | − | 0.234222i | ||||
\(370\) | 0.921938 | + | 3.44072i | 0.0479293 | + | 0.178874i | ||||
\(371\) | −1.77587 | − | 6.62765i | −0.0921988 | − | 0.344091i | ||||
\(372\) | 6.26182 | + | 1.99024i | 0.324660 | + | 0.103189i | ||||
\(373\) | −5.70783 | + | 9.88625i | −0.295540 | + | 0.511891i | −0.975110 | − | 0.221720i | \(-0.928833\pi\) |
0.679570 | + | 0.733611i | \(0.262166\pi\) | |||||||
\(374\) | −11.0255 | − | 19.0967i | −0.570116 | − | 0.987469i | ||||
\(375\) | −9.87640 | + | 2.16565i | −0.510015 | + | 0.111834i | ||||
\(376\) | 8.11015i | 0.418249i | ||||||||
\(377\) | −10.9427 | − | 29.4219i | −0.563580 | − | 1.51531i | ||||
\(378\) | −3.91736 | − | 0.543341i | −0.201487 | − | 0.0279465i | ||||
\(379\) | 36.2846 | + | 9.72242i | 1.86381 | + | 0.499407i | 0.999990 | − | 0.00438723i | \(-0.00139650\pi\) |
0.863823 | + | 0.503795i | \(0.168063\pi\) | |||||||
\(380\) | −1.79035 | + | 1.03366i | −0.0918428 | + | 0.0530255i | ||||
\(381\) | −3.86699 | − | 0.177777i | −0.198112 | − | 0.00910777i | ||||
\(382\) | −4.05345 | + | 4.05345i | −0.207392 | + | 0.207392i | ||||
\(383\) | 12.2026 | − | 3.26967i | 0.623523 | − | 0.167073i | 0.0667943 | − | 0.997767i | \(-0.478723\pi\) |
0.556729 | + | 0.830694i | \(0.312056\pi\) | |||||||
\(384\) | −1.16721 | − | 1.27970i | −0.0595638 | − | 0.0653043i | ||||
\(385\) | −1.37063 | − | 1.37063i | −0.0698536 | − | 0.0698536i | ||||
\(386\) | 9.82453 | + | 5.67220i | 0.500056 | + | 0.288707i | ||||
\(387\) | −0.536843 | + | 5.82636i | −0.0272892 | + | 0.296170i | ||||
\(388\) | 4.07638 | − | 15.2132i | 0.206947 | − | 0.772336i | ||||
\(389\) | −18.8229 | −0.954361 | −0.477180 | − | 0.878805i | \(-0.658341\pi\) | ||||
−0.477180 | + | 0.878805i | \(0.658341\pi\) | |||||||
\(390\) | −0.801763 | + | 3.69868i | −0.0405989 | + | 0.187290i | ||||
\(391\) | −9.79455 | −0.495332 | ||||||||
\(392\) | 1.66180 | − | 6.20192i | 0.0839336 | − | 0.313245i | ||||
\(393\) | 20.6279 | − | 32.2150i | 1.04054 | − | 1.62503i | ||||
\(394\) | −4.05576 | − | 2.34159i | −0.204326 | − | 0.117968i | ||||
\(395\) | 5.81951 | + | 5.81951i | 0.292812 | + | 0.292812i | ||||
\(396\) | −4.36655 | + | 11.8269i | −0.219427 | + | 0.594324i | ||||
\(397\) | 11.5273 | − | 3.08874i | 0.578540 | − | 0.155019i | 0.0423297 | − | 0.999104i | \(-0.486522\pi\) |
0.536210 | + | 0.844084i | \(0.319855\pi\) | |||||||
\(398\) | 9.12358 | − | 9.12358i | 0.457324 | − | 0.457324i | ||||
\(399\) | 0.206525 | − | 4.49234i | 0.0103392 | − | 0.224898i | ||||
\(400\) | 4.01207 | − | 2.31637i | 0.200604 | − | 0.115819i | ||||
\(401\) | 23.3959 | + | 6.26891i | 1.16833 | + | 0.313054i | 0.790290 | − | 0.612733i | \(-0.209930\pi\) |
0.378045 | + | 0.925787i | \(0.376597\pi\) | |||||||
\(402\) | −0.161164 | + | 0.0834248i | −0.00803815 | + | 0.00416085i | ||||
\(403\) | 7.92345 | + | 11.1488i | 0.394695 | + | 0.555361i | ||||
\(404\) | 3.27260i | 0.162818i | ||||||||
\(405\) | 5.43757 | − | 0.425198i | 0.270195 | − | 0.0211282i | ||||
\(406\) | 3.31324 | + | 5.73870i | 0.164433 | + | 0.284807i | ||||
\(407\) | −12.3506 | + | 21.3919i | −0.612197 | + | 1.06036i | ||||
\(408\) | 2.75295 | − | 8.66150i | 0.136291 | − | 0.428808i | ||||
\(409\) | 6.94441 | + | 25.9169i | 0.343379 | + | 1.28151i | 0.894495 | + | 0.447078i | \(0.147535\pi\) |
−0.551116 | + | 0.834429i | \(0.685798\pi\) | |||||||
\(410\) | 1.39108 | + | 5.19159i | 0.0687007 | + | 0.256394i | ||||
\(411\) | −5.23814 | + | 16.4806i | −0.258379 | + | 0.812927i | ||||
\(412\) | 2.39940 | − | 4.15589i | 0.118210 | − | 0.204746i | ||||
\(413\) | −3.28793 | − | 5.69487i | −0.161789 | − | 0.280226i | ||||
\(414\) | 3.57967 | + | 4.30629i | 0.175931 | + | 0.211643i | ||||
\(415\) | − | 0.854405i | − | 0.0419411i | ||||||
\(416\) | −0.339401 | − | 3.58954i | −0.0166405 | − | 0.175992i | ||||
\(417\) | 5.79133 | − | 2.99781i | 0.283603 | − | 0.146804i | ||||
\(418\) | −13.8472 | − | 3.71035i | −0.677290 | − | 0.181479i | ||||
\(419\) | −9.38488 | + | 5.41836i | −0.458481 | + | 0.264704i | −0.711405 | − | 0.702782i | \(-0.751941\pi\) |
0.252924 | + | 0.967486i | \(0.418608\pi\) | |||||||
\(420\) | 0.0366892 | − | 0.798064i | 0.00179025 | − | 0.0389415i | ||||
\(421\) | −22.8984 | + | 22.8984i | −1.11600 | + | 1.11600i | −0.123676 | + | 0.992323i | \(0.539468\pi\) |
−0.992323 | + | 0.123676i | \(0.960532\pi\) | |||||||
\(422\) | 5.09968 | − | 1.36646i | 0.248249 | − | 0.0665180i | ||||
\(423\) | 22.8245 | + | 8.42691i | 1.10977 | + | 0.409731i | ||||
\(424\) | −6.37457 | − | 6.37457i | −0.309577 | − | 0.309577i | ||||
\(425\) | 21.0523 | + | 12.1545i | 1.02119 | + | 0.589581i | ||||
\(426\) | −9.74191 | + | 15.2142i | −0.471997 | + | 0.737128i | ||||
\(427\) | −1.60166 | + | 5.97746i | −0.0775096 | + | 0.289270i | ||||
\(428\) | −3.12505 | −0.151055 | ||||||||
\(429\) | −22.0675 | + | 14.2048i | −1.06543 | + | 0.685812i | ||||
\(430\) | −1.18195 | −0.0569985 | ||||||||
\(431\) | 8.68719 | − | 32.4210i | 0.418447 | − | 1.56167i | −0.359381 | − | 0.933191i | \(-0.617012\pi\) |
0.777829 | − | 0.628476i | \(-0.216321\pi\) | |||||||
\(432\) | −4.81427 | + | 1.95521i | −0.231627 | + | 0.0940699i | ||||
\(433\) | −20.5735 | − | 11.8781i | −0.988698 | − | 0.570825i | −0.0838130 | − | 0.996482i | \(-0.526710\pi\) |
−0.904885 | + | 0.425657i | \(0.860043\pi\) | |||||||
\(434\) | −2.04161 | − | 2.04161i | −0.0980004 | − | 0.0980004i | ||||
\(435\) | −6.15839 | − | 6.75191i | −0.295272 | − | 0.323729i | ||||
\(436\) | 1.24854 | − | 0.334546i | 0.0597943 | − | 0.0160218i | ||||
\(437\) | −4.50256 | + | 4.50256i | −0.215387 | + | 0.215387i | ||||
\(438\) | 13.6490 | + | 0.627482i | 0.652174 | + | 0.0299823i | ||||
\(439\) | 12.8746 | − | 7.43317i | 0.614473 | − | 0.354766i | −0.160241 | − | 0.987078i | \(-0.551227\pi\) |
0.774714 | + | 0.632312i | \(0.217894\pi\) | |||||||
\(440\) | −2.45996 | − | 0.659144i | −0.117274 | − | 0.0314235i | ||||
\(441\) | −15.7275 | − | 11.1210i | −0.748926 | − | 0.529571i | ||||
\(442\) | 15.4213 | − | 10.9599i | 0.733515 | − | 0.521309i | ||||
\(443\) | 40.3416i | 1.91669i | 0.285619 | + | 0.958343i | \(0.407801\pi\) | ||||
−0.285619 | + | 0.958343i | \(0.592199\pi\) | |||||||
\(444\) | −9.94450 | + | 2.18058i | −0.471945 | + | 0.103486i | ||||
\(445\) | 1.98396 | + | 3.43632i | 0.0940487 | + | 0.162897i | ||||
\(446\) | −1.77511 | + | 3.07458i | −0.0840540 | + | 0.145586i | ||||
\(447\) | −14.4055 | − | 4.57860i | −0.681357 | − | 0.216560i | ||||
\(448\) | 0.196991 | + | 0.735180i | 0.00930694 | + | 0.0347340i | ||||
\(449\) | −1.18156 | − | 4.40965i | −0.0557613 | − | 0.208104i | 0.932424 | − | 0.361365i | \(-0.117689\pi\) |
−0.988186 | + | 0.153261i | \(0.951022\pi\) | |||||||
\(450\) | −2.35022 | − | 13.6981i | −0.110790 | − | 0.645733i | ||||
\(451\) | −18.6354 | + | 32.2775i | −0.877508 | + | 1.51989i | ||||
\(452\) | 3.48564 | + | 6.03730i | 0.163951 | + | 0.283971i | ||||
\(453\) | −9.11160 | − | 41.5532i | −0.428100 | − | 1.95234i | ||||
\(454\) | − | 5.02672i | − | 0.235916i | ||||||
\(455\) | 1.06004 | − | 1.28143i | 0.0496955 | − | 0.0600746i | ||||
\(456\) | −2.71617 | − | 5.24723i | −0.127196 | − | 0.245724i | ||||
\(457\) | 25.3969 | + | 6.80507i | 1.18801 | + | 0.318328i | 0.798101 | − | 0.602524i | \(-0.205838\pi\) |
0.389914 | + | 0.920851i | \(0.372505\pi\) | |||||||
\(458\) | 13.9485 | − | 8.05319i | 0.651773 | − | 0.376301i | ||||
\(459\) | −21.5157 | − | 16.7475i | −1.00427 | − | 0.781704i | ||||
\(460\) | −0.799880 | + | 0.799880i | −0.0372946 | + | 0.0372946i | ||||
\(461\) | 14.5525 | − | 3.89933i | 0.677778 | − | 0.181610i | 0.0965219 | − | 0.995331i | \(-0.469228\pi\) |
0.581256 | + | 0.813721i | \(0.302562\pi\) | |||||||
\(462\) | 4.09313 | − | 3.73333i | 0.190430 | − | 0.173690i | ||||
\(463\) | −12.8578 | − | 12.8578i | −0.597552 | − | 0.597552i | 0.342108 | − | 0.939661i | \(-0.388859\pi\) |
−0.939661 | + | 0.342108i | \(0.888859\pi\) | |||||||
\(464\) | 7.53987 | + | 4.35315i | 0.350030 | + | 0.202090i | ||||
\(465\) | 3.35331 | + | 2.14719i | 0.155506 | + | 0.0995734i | ||||
\(466\) | 5.79254 | − | 21.6181i | 0.268334 | − | 1.00144i | ||||
\(467\) | −12.7104 | −0.588168 | −0.294084 | − | 0.955780i | \(-0.595015\pi\) | ||||
−0.294084 | + | 0.955780i | \(0.595015\pi\) | |||||||
\(468\) | −10.4548 | − | 2.77456i | −0.483271 | − | 0.128254i | ||||
\(469\) | 0.0797460 | 0.00368233 | ||||||||
\(470\) | −1.27207 | + | 4.74743i | −0.0586762 | + | 0.218982i | ||||
\(471\) | 16.1492 | + | 10.3406i | 0.744114 | + | 0.476470i | ||||
\(472\) | −7.48228 | − | 4.31989i | −0.344400 | − | 0.198839i | ||||
\(473\) | −5.79555 | − | 5.79555i | −0.266480 | − | 0.266480i | ||||
\(474\) | −17.3790 | + | 15.8513i | −0.798242 | + | 0.728073i | ||||
\(475\) | 15.2652 | − | 4.09030i | 0.700415 | − | 0.187676i | ||||
\(476\) | −2.82400 | + | 2.82400i | −0.129438 | + | 0.129438i | ||||
\(477\) | −24.5636 | + | 11.3165i | −1.12469 | + | 0.518147i | ||||
\(478\) | −7.44934 | + | 4.30088i | −0.340725 | + | 0.196718i | ||||
\(479\) | −34.6068 | − | 9.27288i | −1.58123 | − | 0.423689i | −0.641922 | − | 0.766770i | \(-0.721863\pi\) |
−0.939306 | + | 0.343082i | \(0.888529\pi\) | |||||||
\(480\) | −0.482527 | − | 0.932171i | −0.0220242 | − | 0.0425476i | ||||
\(481\) | −19.2696 | − | 8.82174i | −0.878619 | − | 0.402237i | ||||
\(482\) | − | 6.14555i | − | 0.279922i | ||||||
\(483\) | −0.527056 | − | 2.40363i | −0.0239819 | − | 0.109369i | ||||
\(484\) | −3.33013 | − | 5.76795i | −0.151369 | − | 0.262180i | ||||
\(485\) | 4.77237 | − | 8.26598i | 0.216702 | − | 0.375339i | ||||
\(486\) | 0.500258 | + | 15.5804i | 0.0226921 | + | 0.706743i | ||||
\(487\) | −1.74173 | − | 6.50021i | −0.0789252 | − | 0.294553i | 0.915169 | − | 0.403069i | \(-0.132057\pi\) |
−0.994095 | + | 0.108517i | \(0.965390\pi\) | |||||||
\(488\) | 2.10436 | + | 7.85357i | 0.0952598 | + | 0.355514i | ||||
\(489\) | −8.67507 | − | 2.75726i | −0.392300 | − | 0.124688i | ||||
\(490\) | 1.94553 | − | 3.36976i | 0.0878902 | − | 0.152230i | ||||
\(491\) | 14.9069 | + | 25.8195i | 0.672740 | + | 1.16522i | 0.977124 | + | 0.212670i | \(0.0682159\pi\) |
−0.304385 | + | 0.952549i | \(0.598451\pi\) | |||||||
\(492\) | −15.0049 | + | 3.29021i | −0.676474 | + | 0.148334i | ||||
\(493\) | 45.6839i | 2.05750i | ||||||||
\(494\) | 2.05089 | − | 12.1274i | 0.0922741 | − | 0.545639i | ||||
\(495\) | −4.41108 | + | 6.23821i | −0.198263 | + | 0.280387i | ||||
\(496\) | −3.66422 | − | 0.981825i | −0.164528 | − | 0.0440853i | ||||
\(497\) | 6.87509 | − | 3.96934i | 0.308390 | − | 0.178049i | ||||
\(498\) | 2.43938 | + | 0.112145i | 0.109311 | + | 0.00502535i | ||||
\(499\) | 25.5487 | − | 25.5487i | 1.14372 | − | 1.14372i | 0.155954 | − | 0.987764i | \(-0.450155\pi\) |
0.987764 | − | 0.155954i | \(-0.0498453\pi\) | |||||||
\(500\) | 5.63871 | − | 1.51089i | 0.252171 | − | 0.0675689i | ||||
\(501\) | 18.3586 | + | 20.1280i | 0.820203 | + | 0.899251i | ||||
\(502\) | −8.87855 | − | 8.87855i | −0.396269 | − | 0.396269i | ||||
\(503\) | 36.8913 | + | 21.2992i | 1.64490 | + | 0.949684i | 0.979055 | + | 0.203594i | \(0.0652623\pi\) |
0.665845 | + | 0.746090i | \(0.268071\pi\) | |||||||
\(504\) | 2.27371 | + | 0.209501i | 0.101279 | + | 0.00933190i | ||||
\(505\) | −0.513305 | + | 1.91568i | −0.0228418 | + | 0.0852466i | ||||
\(506\) | −7.84427 | −0.348720 | ||||||||
\(507\) | −13.9154 | − | 17.7020i | −0.618006 | − | 0.786174i | ||||
\(508\) | 2.23497 | 0.0991607 | ||||||||
\(509\) | −4.37237 | + | 16.3179i | −0.193802 | + | 0.723279i | 0.798772 | + | 0.601634i | \(0.205483\pi\) |
−0.992574 | + | 0.121645i | \(0.961183\pi\) | |||||||
\(510\) | 2.97004 | − | 4.63837i | 0.131515 | − | 0.205391i | ||||
\(511\) | −5.19971 | − | 3.00205i | −0.230021 | − | 0.132803i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −17.5896 | + | 2.19197i | −0.776600 | + | 0.0967777i | ||||
\(514\) | −4.57638 | + | 1.22624i | −0.201855 | + | 0.0540870i | ||||
\(515\) | 2.05638 | − | 2.05638i | 0.0906150 | − | 0.0906150i | ||||
\(516\) | 0.155137 | − | 3.37453i | 0.00682952 | − | 0.148556i | ||||
\(517\) | −29.5160 | + | 17.0411i | −1.29811 | + | 0.749466i | ||||
\(518\) | 4.32129 | + | 1.15789i | 0.189867 | + | 0.0508746i | ||||
\(519\) | 8.34271 | − | 4.31851i | 0.366204 | − | 0.189561i | ||||
\(520\) | 0.364341 | − | 2.15444i | 0.0159774 | − | 0.0944784i | ||||
\(521\) | 18.8358i | 0.825213i | 0.910909 | + | 0.412607i | \(0.135382\pi\) | ||||
−0.910909 | + | 0.412607i | \(0.864618\pi\) | |||||||
\(522\) | 20.0855 | − | 16.6964i | 0.879118 | − | 0.730781i | ||||
\(523\) | 5.97667 | + | 10.3519i | 0.261342 | + | 0.452657i | 0.966599 | − | 0.256295i | \(-0.0825017\pi\) |
−0.705257 | + | 0.708952i | \(0.749168\pi\) | |||||||
\(524\) | −11.0428 | + | 19.1267i | −0.482406 | + | 0.835552i | ||||
\(525\) | −1.84993 | + | 5.82037i | −0.0807376 | + | 0.254022i | ||||
\(526\) | 1.46723 | + | 5.47578i | 0.0639743 | + | 0.238755i | ||||
\(527\) | −5.15186 | − | 19.2270i | −0.224419 | − | 0.837542i | ||||
\(528\) | 2.20478 | − | 6.93684i | 0.0959509 | − | 0.301887i | ||||
\(529\) | 9.75788 | − | 16.9011i | 0.424256 | − | 0.734832i | ||||
\(530\) | −2.73163 | − | 4.73132i | −0.118654 | − | 0.205516i | ||||
\(531\) | −19.9321 | + | 16.5688i | −0.864977 | + | 0.719027i | ||||
\(532\) | 2.59639i | 0.112568i | ||||||||
\(533\) | −29.0753 | − | 13.3108i | −1.25939 | − | 0.576556i | ||||
\(534\) | −10.0713 | + | 5.21331i | −0.435829 | + | 0.225602i | ||||
\(535\) | −1.82931 | − | 0.490162i | −0.0790879 | − | 0.0211915i | ||||
\(536\) | 0.0907381 | − | 0.0523877i | 0.00391929 | − | 0.00226280i | ||||
\(537\) | −0.825725 | + | 17.9612i | −0.0356327 | + | 0.775081i | ||||
\(538\) | −5.16606 | + | 5.16606i | −0.222725 | + | 0.222725i | ||||
\(539\) | 26.0630 | − | 6.98357i | 1.12261 | − | 0.300804i | ||||
\(540\) | −3.12479 | + | 0.389403i | −0.134470 | + | 0.0167572i | ||||
\(541\) | 13.7056 | + | 13.7056i | 0.589250 | + | 0.589250i | 0.937428 | − | 0.348179i | \(-0.113200\pi\) |
−0.348179 | + | 0.937428i | \(0.613200\pi\) | |||||||
\(542\) | 21.2418 | + | 12.2640i | 0.912414 | + | 0.526782i | ||||
\(543\) | 10.3834 | − | 16.2160i | 0.445596 | − | 0.695897i | ||||
\(544\) | −1.35808 | + | 5.06844i | −0.0582273 | + | 0.217307i | ||||
\(545\) | 0.783330 | 0.0335542 | ||||||||
\(546\) | 3.51944 | + | 3.19468i | 0.150618 | + | 0.136720i | ||||
\(547\) | −14.6259 | −0.625359 | −0.312679 | − | 0.949859i | \(-0.601227\pi\) | ||||
−0.312679 | + | 0.949859i | \(0.601227\pi\) | |||||||
\(548\) | 2.58408 | − | 9.64392i | 0.110386 | − | 0.411968i | ||||
\(549\) | 24.2890 | + | 2.23799i | 1.03663 | + | 0.0955152i | ||||
\(550\) | 16.8604 | + | 9.73434i | 0.718929 | + | 0.415074i | ||||
\(551\) | 21.0009 | + | 21.0009i | 0.894670 | + | 0.894670i | ||||
\(552\) | −2.17872 | − | 2.38870i | −0.0927326 | − | 0.101670i | ||||
\(553\) | 9.98412 | − | 2.67524i | 0.424568 | − | 0.113763i | ||||
\(554\) | −6.18454 | + | 6.18454i | −0.262756 | + | 0.262756i | ||||
\(555\) | −6.16322 | − | 0.283341i | −0.261614 | − | 0.0120271i | ||||
\(556\) | −3.26061 | + | 1.88252i | −0.138281 | + | 0.0798365i | ||||
\(557\) | 1.16825 | + | 0.313031i | 0.0495002 | + | 0.0132635i | 0.283484 | − | 0.958977i | \(-0.408510\pi\) |
−0.233984 | + | 0.972240i | \(0.575176\pi\) | |||||||
\(558\) | −6.57050 | + | 9.29209i | −0.278152 | + | 0.393366i | ||||
\(559\) | 4.48228 | − | 5.41841i | 0.189580 | − | 0.229175i | ||||
\(560\) | 0.461249i | 0.0194913i | ||||||||
\(561\) | 37.3071 | − | 8.18053i | 1.57511 | − | 0.345382i | ||||
\(562\) | 6.71448 | + | 11.6298i | 0.283233 | + | 0.490575i | ||||
\(563\) | 12.2059 | − | 21.1412i | 0.514416 | − | 0.890994i | −0.485444 | − | 0.874267i | \(-0.661342\pi\) |
0.999860 | − | 0.0167265i | \(-0.00532446\pi\) | |||||||
\(564\) | −13.3873 | − | 4.25497i | −0.563705 | − | 0.179167i | ||||
\(565\) | 1.09344 | + | 4.08077i | 0.0460013 | + | 0.171679i | ||||
\(566\) | −8.13627 | − | 30.3650i | −0.341993 | − | 1.27633i | ||||
\(567\) | 2.95212 | − | 6.18125i | 0.123977 | − | 0.259588i | ||||
\(568\) | 5.21517 | − | 9.03293i | 0.218823 | − | 0.379013i | ||||
\(569\) | −2.98833 | − | 5.17593i | −0.125277 | − | 0.216986i | 0.796564 | − | 0.604554i | \(-0.206649\pi\) |
−0.921841 | + | 0.387568i | \(0.873315\pi\) | |||||||
\(570\) | −0.766936 | − | 3.49759i | −0.0321234 | − | 0.146498i | ||||
\(571\) | − | 35.8068i | − | 1.49847i | −0.662307 | − | 0.749233i | \(-0.730422\pi\) | ||
0.662307 | − | 0.749233i | \(-0.269578\pi\) | |||||||
\(572\) | 12.3506 | − | 8.77758i | 0.516405 | − | 0.367009i | ||||
\(573\) | −4.56431 | − | 8.81758i | −0.190677 | − | 0.368360i | ||||
\(574\) | 6.52025 | + | 1.74710i | 0.272150 | + | 0.0729224i | ||||
\(575\) | 7.48898 | − | 4.32377i | 0.312312 | − | 0.180314i | ||||
\(576\) | 2.72474 | − | 1.25529i | 0.113531 | − | 0.0523040i | ||||
\(577\) | 13.8142 | − | 13.8142i | 0.575094 | − | 0.575094i | −0.358453 | − | 0.933548i | \(-0.616696\pi\) |
0.933548 | + | 0.358453i | \(0.116696\pi\) | |||||||
\(578\) | −10.1745 | + | 2.72625i | −0.423204 | + | 0.113397i | ||||
\(579\) | −14.5174 | + | 13.2413i | −0.603323 | + | 0.550288i | ||||
\(580\) | 3.73082 | + | 3.73082i | 0.154914 | + | 0.154914i | ||||
\(581\) | −0.929305 | − | 0.536534i | −0.0385541 | − | 0.0222592i | ||||
\(582\) | 22.9735 | + | 14.7104i | 0.952284 | + | 0.609765i | ||||
\(583\) | 9.80530 | − | 36.5939i | 0.406094 | − | 1.51556i | ||||
\(584\) | −7.88857 | −0.326431 | ||||||||
\(585\) | −5.68470 | − | 3.26396i | −0.235033 | − | 0.134948i | ||||
\(586\) | 2.09484 | 0.0865371 | ||||||||
\(587\) | 3.99377 | − | 14.9050i | 0.164841 | − | 0.615194i | −0.833220 | − | 0.552942i | \(-0.813505\pi\) |
0.998060 | − | 0.0622518i | \(-0.0198282\pi\) | |||||||
\(588\) | 9.36553 | + | 5.99693i | 0.386228 | + | 0.247309i | ||||
\(589\) | −11.2070 | − | 6.47036i | −0.461776 | − | 0.266607i | ||||
\(590\) | −3.70232 | − | 3.70232i | −0.152422 | − | 0.152422i | ||||
\(591\) | 5.99306 | − | 5.46625i | 0.246522 | − | 0.224851i | ||||
\(592\) | 5.67758 | − | 1.52130i | 0.233347 | − | 0.0625252i | ||||
\(593\) | 19.1066 | − | 19.1066i | 0.784613 | − | 0.784613i | −0.195992 | − | 0.980605i | \(-0.562793\pi\) |
0.980605 | + | 0.195992i | \(0.0627927\pi\) | |||||||
\(594\) | −17.2315 | − | 13.4127i | −0.707018 | − | 0.550331i | ||||
\(595\) | −2.09602 | + | 1.21014i | −0.0859286 | + | 0.0496109i | ||||
\(596\) | 8.42964 | + | 2.25872i | 0.345292 | + | 0.0925206i | ||||
\(597\) | 10.2734 | + | 19.8468i | 0.420464 | + | 0.812275i | ||||
\(598\) | −0.633531 | − | 6.70028i | −0.0259070 | − | 0.273995i | ||||
\(599\) | − | 15.6579i | − | 0.639764i | −0.947457 | − | 0.319882i | \(-0.896357\pi\) | ||
0.947457 | − | 0.319882i | \(-0.103643\pi\) | |||||||
\(600\) | 1.71866 | + | 7.83793i | 0.0701641 | + | 0.319982i | ||||
\(601\) | 6.65857 | + | 11.5330i | 0.271609 | + | 0.470440i | 0.969274 | − | 0.245984i | \(-0.0791110\pi\) |
−0.697665 | + | 0.716424i | \(0.745778\pi\) | |||||||
\(602\) | −0.742218 | + | 1.28556i | −0.0302505 | + | 0.0523955i | ||||
\(603\) | −0.0531532 | − | 0.309799i | −0.00216456 | − | 0.0126160i | ||||
\(604\) | 6.35679 | + | 23.7239i | 0.258654 | + | 0.965311i | ||||
\(605\) | −1.04465 | − | 3.89870i | −0.0424713 | − | 0.158505i | ||||
\(606\) | −5.40202 | − | 1.71696i | −0.219442 | − | 0.0697469i | ||||
\(607\) | −6.14650 | + | 10.6460i | −0.249479 | + | 0.432110i | −0.963381 | − | 0.268135i | \(-0.913593\pi\) |
0.713903 | + | 0.700245i | \(0.246926\pi\) | |||||||
\(608\) | 1.70565 | + | 2.95428i | 0.0691733 | + | 0.119812i | ||||
\(609\) | −11.2110 | + | 2.45831i | −0.454295 | + | 0.0996156i | ||||
\(610\) | 4.92730i | 0.199501i | ||||||||
\(611\) | −16.9397 | − | 23.8352i | −0.685306 | − | 0.964268i | ||||
\(612\) | 12.8530 | + | 9.08847i | 0.519553 | + | 0.367380i | ||||
\(613\) | −10.3869 | − | 2.78315i | −0.419521 | − | 0.112410i | 0.0428820 | − | 0.999080i | \(-0.486346\pi\) |
−0.462403 | + | 0.886670i | \(0.653013\pi\) | |||||||
\(614\) | 2.34342 | − | 1.35298i | 0.0945728 | − | 0.0546017i | ||||
\(615\) | −9.29948 | − | 0.427523i | −0.374991 | − | 0.0172394i | ||||
\(616\) | −2.26169 | + | 2.26169i | −0.0911261 | + | 0.0911261i | ||||
\(617\) | −12.1675 | + | 3.26027i | −0.489845 | + | 0.131254i | −0.495283 | − | 0.868732i | \(-0.664936\pi\) |
0.00543815 | + | 0.999985i | \(0.498269\pi\) | |||||||
\(618\) | 5.60120 | + | 6.14102i | 0.225313 | + | 0.247028i | ||||
\(619\) | −5.08096 | − | 5.08096i | −0.204221 | − | 0.204221i | 0.597585 | − | 0.801806i | \(-0.296127\pi\) |
−0.801806 | + | 0.597585i | \(0.796127\pi\) | |||||||
\(620\) | −1.99092 | − | 1.14946i | −0.0799574 | − | 0.0461634i | ||||
\(621\) | −8.98637 | + | 3.64961i | −0.360611 | + | 0.146454i | ||||
\(622\) | −1.86183 | + | 6.94843i | −0.0746524 | + | 0.278607i | ||||
\(623\) | 4.98342 | 0.199656 | ||||||||
\(624\) | 6.10325 | + | 1.32300i | 0.244326 | + | 0.0529624i | ||||
\(625\) | −19.6260 | −0.785040 | ||||||||
\(626\) | −3.79222 | + | 14.1527i | −0.151567 | + | 0.565657i | ||||
\(627\) | 13.3895 | − | 20.9107i | 0.534726 | − | 0.835093i | ||||
\(628\) | −9.58806 | − | 5.53567i | −0.382605 | − | 0.220897i | ||||
\(629\) | 21.8090 | + | 21.8090i | 0.869580 | + | 0.869580i | ||||
\(630\) | 1.29810 | + | 0.479265i | 0.0517175 | + | 0.0190944i | ||||
\(631\) | −23.9643 | + | 6.42121i | −0.954002 | + | 0.255624i | −0.702060 | − | 0.712118i | \(-0.747736\pi\) |
−0.251943 | + | 0.967742i | \(0.581069\pi\) | |||||||
\(632\) | 9.60287 | − | 9.60287i | 0.381982 | − | 0.381982i | ||||
\(633\) | −0.419955 | + | 9.13485i | −0.0166917 | + | 0.363078i | ||||
\(634\) | −4.81419 | + | 2.77947i | −0.191196 | + | 0.110387i | ||||
\(635\) | 1.30828 | + | 0.350553i | 0.0519175 | + | 0.0139113i | ||||
\(636\) | 13.8668 | − | 7.17798i | 0.549854 | − | 0.284625i | ||||
\(637\) | 8.07004 | + | 21.6980i | 0.319747 | + | 0.859708i | ||||
\(638\) | 36.5874i | 1.44851i | ||||||||
\(639\) | −20.0026 | − | 24.0628i | −0.791292 | − | 0.951912i | ||||
\(640\) | 0.303009 | + | 0.524827i | 0.0119775 | + | 0.0207456i | ||||
\(641\) | −5.92602 | + | 10.2642i | −0.234064 | + | 0.405410i | −0.959000 | − | 0.283406i | \(-0.908536\pi\) |
0.724936 | + | 0.688816i | \(0.241869\pi\) | |||||||
\(642\) | 1.63955 | − | 5.15846i | 0.0647079 | − | 0.203588i | ||||
\(643\) | −7.18682 | − | 26.8216i | −0.283420 | − | 1.05774i | −0.949986 | − | 0.312293i | \(-0.898903\pi\) |
0.666566 | − | 0.745446i | \(-0.267764\pi\) | |||||||
\(644\) | 0.367706 | + | 1.37230i | 0.0144896 | + | 0.0540760i | ||||
\(645\) | 0.620105 | − | 1.95101i | 0.0244166 | − | 0.0768211i | ||||
\(646\) | −8.94995 | + | 15.5018i | −0.352131 | + | 0.609909i | ||||
\(647\) | −9.84613 | − | 17.0540i | −0.387091 | − | 0.670462i | 0.604966 | − | 0.796251i | \(-0.293187\pi\) |
−0.992057 | + | 0.125790i | \(0.959853\pi\) | |||||||
\(648\) | −0.701625 | − | 8.97261i | −0.0275624 | − | 0.352477i | ||||
\(649\) | − | 36.3079i | − | 1.42521i | ||||||
\(650\) | −6.95301 | + | 15.1877i | −0.272719 | + | 0.595710i | ||||
\(651\) | 4.44117 | − | 2.29892i | 0.174063 | − | 0.0901017i | ||||
\(652\) | 5.07638 | + | 1.36021i | 0.198806 | + | 0.0532700i | ||||
\(653\) | −42.1003 | + | 24.3066i | −1.64751 | + | 0.951191i | −0.669455 | + | 0.742853i | \(0.733472\pi\) |
−0.978057 | + | 0.208339i | \(0.933194\pi\) | |||||||
\(654\) | −0.102816 | + | 2.23646i | −0.00402044 | + | 0.0874526i | ||||
\(655\) | −9.46410 | + | 9.46410i | −0.369793 | + | 0.369793i | ||||
\(656\) | 8.56672 | − | 2.29545i | 0.334474 | − | 0.0896221i | ||||
\(657\) | −8.19668 | + | 22.2009i | −0.319783 | + | 0.866140i | ||||
\(658\) | 4.36479 | + | 4.36479i | 0.170157 | + | 0.170157i | ||||
\(659\) | −3.21116 | − | 1.85397i | −0.125089 | − | 0.0722202i | 0.436150 | − | 0.899874i | \(-0.356342\pi\) |
−0.561239 | + | 0.827654i | \(0.689675\pi\) | |||||||
\(660\) | 2.37865 | − | 3.71479i | 0.0925888 | − | 0.144598i | ||||
\(661\) | 1.66416 | − | 6.21075i | 0.0647285 | − | 0.241570i | −0.925980 | − | 0.377573i | \(-0.876759\pi\) |
0.990708 | + | 0.136003i | \(0.0434255\pi\) | |||||||
\(662\) | −19.7529 | −0.767720 | ||||||||
\(663\) | 10.0006 | + | 31.2057i | 0.388389 | + | 1.21193i | ||||
\(664\) | −1.40987 | −0.0547134 | ||||||||
\(665\) | −0.407242 | + | 1.51985i | −0.0157922 | + | 0.0589371i | ||||
\(666\) | 1.61791 | − | 17.5592i | 0.0626929 | − | 0.680406i | ||||
\(667\) | 14.0740 | + | 8.12564i | 0.544948 | + | 0.314626i | ||||
\(668\) | −11.1219 | − | 11.1219i | −0.430318 | − | 0.430318i | ||||
\(669\) | −4.14385 | − | 4.54322i | −0.160210 | − | 0.175651i | ||||
\(670\) | 0.0613322 | − | 0.0164339i | 0.00236947 | − | 0.000634898i | ||||
\(671\) | −24.1605 | + | 24.1605i | −0.932708 | + | 0.932708i | ||||
\(672\) | −1.31690 | − | 0.0605415i | −0.0508004 | − | 0.00233544i | ||||
\(673\) | 5.14268 | − | 2.96913i | 0.198236 | − | 0.114451i | −0.397597 | − | 0.917560i | \(-0.630156\pi\) |
0.595832 | + | 0.803109i | \(0.296822\pi\) | |||||||
\(674\) | −15.8305 | − | 4.24177i | −0.609768 | − | 0.163387i | ||||
\(675\) | 23.8442 | + | 3.30720i | 0.917763 | + | 0.127294i | ||||
\(676\) | 8.49496 | + | 9.84052i | 0.326729 | + | 0.378481i | ||||
\(677\) | 24.5297i | 0.942753i | 0.881932 | + | 0.471376i | \(0.156243\pi\) | ||||
−0.881932 | + | 0.471376i | \(0.843757\pi\) | |||||||
\(678\) | −11.7944 | + | 2.58622i | −0.452961 | + | 0.0993231i | ||||
\(679\) | −5.99374 | − | 10.3815i | −0.230019 | − | 0.398404i | ||||
\(680\) | −1.58996 | + | 2.75389i | −0.0609721 | + | 0.105607i | ||||
\(681\) | 8.29751 | + | 2.63726i | 0.317961 | + | 0.101060i | ||||
\(682\) | −4.12603 | − | 15.3986i | −0.157994 | − | 0.589641i | ||||
\(683\) | −6.94368 | − | 25.9142i | −0.265693 | − | 0.991578i | −0.961825 | − | 0.273665i | \(-0.911764\pi\) |
0.696133 | − | 0.717913i | \(-0.254903\pi\) | |||||||
\(684\) | 10.0865 | − | 1.73057i | 0.385668 | − | 0.0661702i | ||||
\(685\) | 3.02528 | − | 5.23994i | 0.115590 | − | 0.200208i | ||||
\(686\) | −5.10734 | − | 8.84618i | −0.194999 | − | 0.337749i | ||||
\(687\) | 5.97518 | + | 27.2497i | 0.227967 | + | 1.03964i | ||||
\(688\) | 1.95035i | 0.0743562i | ||||||||
\(689\) | 32.0490 | + | 5.41987i | 1.22097 | + | 0.206481i | ||||
\(690\) | −0.900691 | − | 1.74000i | −0.0342887 | − | 0.0662407i | ||||
\(691\) | −10.1788 | − | 2.72740i | −0.387220 | − | 0.103755i | 0.0599568 | − | 0.998201i | \(-0.480904\pi\) |
−0.447176 | + | 0.894446i | \(0.647570\pi\) | |||||||
\(692\) | −4.69708 | + | 2.71186i | −0.178556 | + | 0.103090i | ||||
\(693\) | 4.01508 | + | 8.71514i | 0.152520 | + | 0.331061i | ||||
\(694\) | −15.2907 | + | 15.2907i | −0.580427 | + | 0.580427i | ||||
\(695\) | −2.20393 | + | 0.590542i | −0.0835999 | + | 0.0224005i | ||||
\(696\) | −11.1414 | + | 10.1620i | −0.422315 | + | 0.385191i | ||||
\(697\) | 32.9068 | + | 32.9068i | 1.24644 | + | 1.24644i | ||||
\(698\) | 1.68633 | + | 0.973604i | 0.0638286 | + | 0.0368515i | ||||
\(699\) | 32.6455 | + | 20.9035i | 1.23477 | + | 0.790643i | ||||
\(700\) | 0.912608 | − | 3.40590i | 0.0344933 | − | 0.128731i | ||||
\(701\) | −48.3500 | −1.82616 | −0.913078 | − | 0.407785i | \(-0.866301\pi\) | ||||
−0.913078 | + | 0.407785i | \(0.866301\pi\) | |||||||
\(702\) | 10.0650 | − | 15.8018i | 0.379878 | − | 0.596400i | ||||
\(703\) | 20.0512 | 0.756245 | ||||||||
\(704\) | −1.08766 | + | 4.05922i | −0.0409929 | + | 0.152987i | ||||
\(705\) | −7.16910 | − | 4.59051i | −0.270004 | − | 0.172888i | ||||
\(706\) | 20.1557 | + | 11.6369i | 0.758568 | + | 0.437959i | ||||
\(707\) | 1.76128 | + | 1.76128i | 0.0662397 | + | 0.0662397i | ||||
\(708\) | 11.0563 | − | 10.0844i | 0.415522 | − | 0.378996i | ||||
\(709\) | 28.4274 | − | 7.61709i | 1.06761 | − | 0.286066i | 0.318100 | − | 0.948057i | \(-0.396955\pi\) |
0.749512 | + | 0.661991i | \(0.230288\pi\) | |||||||
\(710\) | 4.46960 | − | 4.46960i | 0.167741 | − | 0.167741i | ||||
\(711\) | −17.0475 | − | 37.0034i | −0.639333 | − | 1.38774i | ||||
\(712\) | 5.67032 | − | 3.27376i | 0.212504 | − | 0.122689i | ||||
\(713\) | −6.83968 | − | 1.83269i | −0.256148 | − | 0.0686347i | ||||
\(714\) | −3.17992 | − | 6.14313i | −0.119005 | − | 0.229901i | ||||
\(715\) | 8.60641 | − | 3.20094i | 0.321862 | − | 0.119708i | ||||
\(716\) | − | 10.3808i | − | 0.387950i | ||||||
\(717\) | −3.19110 | − | 14.5529i | −0.119174 | − | 0.543489i | ||||
\(718\) | −11.2331 | − | 19.4562i | −0.419214 | − | 0.726100i | ||||
\(719\) | −21.4236 | + | 37.1068i | −0.798966 | + | 1.38385i | 0.121324 | + | 0.992613i | \(0.461286\pi\) |
−0.920290 | + | 0.391237i | \(0.872047\pi\) | |||||||
\(720\) | 1.79187 | − | 0.307437i | 0.0667791 | − | 0.0114575i | ||||
\(721\) | −0.945320 | − | 3.52798i | −0.0352056 | − | 0.131389i | ||||
\(722\) | −1.90569 | − | 7.11211i | −0.0709223 | − | 0.264685i | ||||
\(723\) | 10.1443 | + | 3.22425i | 0.377272 | + | 0.119911i | ||||
\(724\) | −5.55860 | + | 9.62777i | −0.206584 | + | 0.357813i | ||||
\(725\) | −20.1670 | − | 34.9303i | −0.748984 | − | 1.29728i | ||||
\(726\) | 11.2682 | − | 2.47083i | 0.418201 | − | 0.0917012i | ||||
\(727\) | 1.92620i | 0.0714389i | 0.999362 | + | 0.0357194i | \(0.0113723\pi\) | ||||
−0.999362 | + | 0.0357194i | \(0.988628\pi\) | |||||||
\(728\) | −2.11451 | − | 1.74919i | −0.0783691 | − | 0.0648293i | ||||
\(729\) | −25.9808 | − | 7.34847i | −0.962250 | − | 0.272166i | ||||
\(730\) | −4.61772 | − | 1.23732i | −0.170910 | − | 0.0457951i | ||||
\(731\) | −8.86283 | + | 5.11696i | −0.327804 | + | 0.189257i | ||||
\(732\) | −14.0678 | − | 0.646735i | −0.519960 | − | 0.0239040i | ||||
\(733\) | −22.6065 | + | 22.6065i | −0.834990 | + | 0.834990i | −0.988195 | − | 0.153204i | \(-0.951041\pi\) |
0.153204 | + | 0.988195i | \(0.451041\pi\) | |||||||
\(734\) | −0.581258 | + | 0.155748i | −0.0214546 | + | 0.00574875i | ||||
\(735\) | 4.54168 | + | 4.97939i | 0.167522 | + | 0.183668i | ||||
\(736\) | 1.31989 | + | 1.31989i | 0.0486519 | + | 0.0486519i | ||||
\(737\) | 0.381319 | + | 0.220155i | 0.0140461 | + | 0.00810950i | ||||
\(738\) | 2.44122 | − | 26.4945i | 0.0898624 | − | 0.975277i | ||||
\(739\) | −0.376096 | + | 1.40361i | −0.0138349 | + | 0.0516325i | −0.972498 | − | 0.232910i | \(-0.925175\pi\) |
0.958663 | + | 0.284543i | \(0.0918418\pi\) | |||||||
\(740\) | 3.56209 | 0.130945 | ||||||||
\(741\) | 18.9425 | + | 9.74800i | 0.695871 | + | 0.358102i | ||||
\(742\) | −6.86145 | −0.251892 | ||||||||
\(743\) | −9.58365 | + | 35.7667i | −0.351590 | + | 1.31215i | 0.533132 | + | 0.846032i | \(0.321015\pi\) |
−0.884722 | + | 0.466119i | \(0.845652\pi\) | |||||||
\(744\) | 3.54310 | − | 5.53335i | 0.129897 | − | 0.202862i | ||||
\(745\) | 4.58017 | + | 2.64436i | 0.167804 | + | 0.0968820i | ||||
\(746\) | 8.07209 | + | 8.07209i | 0.295540 | + | 0.295540i | ||||
\(747\) | −1.46493 | + | 3.96780i | −0.0535991 | + | 0.145174i | ||||
\(748\) | −21.2996 | + | 5.70722i | −0.778792 | + | 0.208677i | ||||
\(749\) | −1.68187 | + | 1.68187i | −0.0614542 | + | 0.0614542i | ||||
\(750\) | −0.464343 | + | 10.1004i | −0.0169554 | + | 0.368814i | ||||
\(751\) | −13.2882 | + | 7.67193i | −0.484892 | + | 0.279953i | −0.722453 | − | 0.691420i | \(-0.756985\pi\) |
0.237561 | + | 0.971373i | \(0.423652\pi\) | |||||||
\(752\) | 7.83380 | + | 2.09906i | 0.285669 | + | 0.0765449i | ||||
\(753\) | 19.3138 | − | 9.99753i | 0.703832 | − | 0.364330i | ||||
\(754\) | −31.2516 | + | 2.95493i | −1.13812 | + | 0.107612i | ||||
\(755\) | 14.8843i | 0.541694i | ||||||||
\(756\) | −1.53872 | + | 3.64326i | −0.0559625 | + | 0.132504i | ||||
\(757\) | −11.2354 | − | 19.4603i | −0.408357 | − | 0.707296i | 0.586349 | − | 0.810059i | \(-0.300565\pi\) |
−0.994706 | + | 0.102763i | \(0.967232\pi\) | |||||||
\(758\) | 18.7823 | − | 32.5319i | 0.682203 | − | 1.18161i | ||||
\(759\) | 4.11548 | − | 12.9484i | 0.149382 | − | 0.469997i | ||||
\(760\) | 0.535060 | + | 1.99687i | 0.0194087 | + | 0.0724341i | ||||
\(761\) | 0.210189 | + | 0.784436i | 0.00761934 | + | 0.0284358i | 0.969631 | − | 0.244573i | \(-0.0786478\pi\) |
−0.962012 | + | 0.273009i | \(0.911981\pi\) | |||||||
\(762\) | −1.17257 | + | 3.68922i | −0.0424777 | + | 0.133646i | ||||
\(763\) | 0.491903 | − | 0.852000i | 0.0178081 | − | 0.0308445i | ||||
\(764\) | 2.86622 | + | 4.96444i | 0.103696 | + | 0.179607i | ||||
\(765\) | 6.09825 | + | 7.33609i | 0.220483 | + | 0.265237i | ||||
\(766\) | − | 12.6331i | − | 0.456451i | ||||||
\(767\) | 31.0129 | − | 2.93235i | 1.11981 | − | 0.105881i | ||||
\(768\) | −1.53819 | + | 0.796225i | −0.0555046 | + | 0.0287313i | ||||
\(769\) | −12.0810 | − | 3.23708i | −0.435651 | − | 0.116732i | 0.0343269 | − | 0.999411i | \(-0.489071\pi\) |
−0.469977 | + | 0.882678i | \(0.655738\pi\) | |||||||
\(770\) | −1.67867 | + | 0.969179i | −0.0604950 | + | 0.0349268i | ||||
\(771\) | 0.376861 | − | 8.19748i | 0.0135723 | − | 0.295225i | ||||
\(772\) | 8.02170 | − | 8.02170i | 0.288707 | − | 0.288707i | ||||
\(773\) | 14.6654 | − | 3.92957i | 0.527476 | − | 0.141337i | 0.0147536 | − | 0.999891i | \(-0.495304\pi\) |
0.512723 | + | 0.858554i | \(0.328637\pi\) | |||||||
\(774\) | 5.48888 | + | 2.02652i | 0.197294 | + | 0.0728418i | ||||
\(775\) | 12.4268 | + | 12.4268i | 0.446386 | + | 0.446386i | ||||
\(776\) | −13.6398 | − | 7.87496i | −0.489641 | − | 0.282695i | ||||
\(777\) | −4.17845 | + | 6.52558i | −0.149901 | + | 0.234104i | ||||
\(778\) | −4.87173 | + | 18.1816i | −0.174660 | + | 0.651840i | ||||
\(779\) | 30.2546 | 1.08398 | ||||||||
\(780\) | 3.36514 | + | 1.73173i | 0.120491 | + | 0.0620060i | ||||
\(781\) | 43.8325 | 1.56845 | ||||||||
\(782\) | −2.53502 | + | 9.46081i | −0.0906520 | + | 0.338318i | ||||
\(783\) | 17.0226 | + | 41.9144i | 0.608338 | + | 1.49790i | ||||
\(784\) | −5.56049 | − | 3.21035i | −0.198589 | − | 0.114655i | ||||
\(785\) | −4.74428 | − | 4.74428i | −0.169331 | − | 0.169331i | ||||
\(786\) | −25.7784 | − | 28.2629i | −0.919486 | − | 1.00810i | ||||
\(787\) | −26.9442 | + | 7.21968i | −0.960458 | + | 0.257354i | −0.704794 | − | 0.709412i | \(-0.748961\pi\) |
−0.255664 | + | 0.966766i | \(0.582294\pi\) | |||||||
\(788\) | −3.31151 | + | 3.31151i | −0.117968 | + | 0.117968i | ||||
\(789\) | −9.80854 | − | 0.450926i | −0.349193 | − | 0.0160534i | ||||
\(790\) | 7.12742 | − | 4.11502i | 0.253582 | − | 0.146406i | ||||
\(791\) | 5.12514 | + | 1.37328i | 0.182229 | + | 0.0488281i | ||||
\(792\) | 10.2938 | + | 7.27879i | 0.365773 | + | 0.258640i | ||||
\(793\) | −22.5883 | − | 18.6857i | −0.802135 | − | 0.663550i | ||||
\(794\) | − | 11.9340i | − | 0.423521i | ||||||
\(795\) | 9.24304 | − | 2.02677i | 0.327817 | − | 0.0718822i | ||||
\(796\) | −6.45135 | − | 11.1741i | −0.228662 | − | 0.396054i | ||||
\(797\) | 21.9041 | − | 37.9390i | 0.775883 | − | 1.34387i | −0.158414 | − | 0.987373i | \(-0.550638\pi\) |
0.934297 | − | 0.356496i | \(-0.116029\pi\) | |||||||
\(798\) | −4.28581 | − | 1.36219i | −0.151716 | − | 0.0482210i | ||||
\(799\) | 11.0143 | + | 41.1058i | 0.389656 | + | 1.45422i | ||||
\(800\) | −1.19904 | − | 4.47488i | −0.0423925 | − | 0.158211i | ||||
\(801\) | −3.32160 | − | 19.3597i | −0.117363 | − | 0.684041i | ||||
\(802\) | 12.1106 | − | 20.9762i | 0.427640 | − | 0.740694i | ||||
\(803\) | −16.5755 | − | 28.7096i | −0.584937 | − | 1.01314i | ||||
\(804\) | 0.0388698 | + | 0.177265i | 0.00137083 | + | 0.00625165i | ||||
\(805\) | 0.860973i | 0.0303453i | ||||||||
\(806\) | 12.8196 | − | 4.76794i | 0.451553 | − | 0.167944i | ||||
\(807\) | −5.81715 | − | 11.2379i | −0.204773 | − | 0.395592i | ||||
\(808\) | 3.16109 | + | 0.847012i | 0.111207 | + | 0.0297978i | ||||
\(809\) | −0.336378 | + | 0.194208i | −0.0118264 | + | 0.00682798i | −0.505902 | − | 0.862591i | \(-0.668840\pi\) |
0.494075 | + | 0.869419i | \(0.335507\pi\) | |||||||
\(810\) | 0.996636 | − | 5.36233i | 0.0350182 | − | 0.188413i | ||||
\(811\) | −5.70744 | + | 5.70744i | −0.200415 | + | 0.200415i | −0.800178 | − | 0.599763i | \(-0.795262\pi\) |
0.599763 | + | 0.800178i | \(0.295262\pi\) | |||||||
\(812\) | 6.40069 | − | 1.71506i | 0.224620 | − | 0.0601868i | ||||
\(813\) | −31.3883 | + | 28.6292i | −1.10084 | + | 1.00407i | ||||
\(814\) | 17.4664 | + | 17.4664i | 0.612197 | + | 0.612197i | ||||
\(815\) | 2.75821 | + | 1.59245i | 0.0966157 | + | 0.0557811i | ||||
\(816\) | −7.65385 | − | 4.90090i | −0.267938 | − | 0.171566i | ||||
\(817\) | −1.72198 | + | 6.42652i | −0.0602445 | + | 0.224835i | ||||
\(818\) | 26.8311 | 0.938128 | ||||||||
\(819\) | −7.11987 | + | 4.13339i | −0.248788 | + | 0.144432i | ||||
\(820\) | 5.37473 | 0.187694 | ||||||||
\(821\) | 8.85384 | − | 33.0430i | 0.309001 | − | 1.15321i | −0.620445 | − | 0.784250i | \(-0.713048\pi\) |
0.929446 | − | 0.368958i | \(-0.120285\pi\) | |||||||
\(822\) | 14.5633 | + | 9.32515i | 0.507953 | + | 0.325252i | ||||
\(823\) | 32.3186 | + | 18.6592i | 1.12656 | + | 0.650418i | 0.943067 | − | 0.332604i | \(-0.107927\pi\) |
0.183490 | + | 0.983022i | \(0.441260\pi\) | |||||||
\(824\) | −3.39327 | − | 3.39327i | −0.118210 | − | 0.118210i | ||||
\(825\) | −24.9140 | + | 22.7240i | −0.867396 | + | 0.791148i | ||||
\(826\) | −6.35180 | + | 1.70196i | −0.221007 | + | 0.0592187i | ||||
\(827\) | −8.16295 | + | 8.16295i | −0.283854 | + | 0.283854i | −0.834644 | − | 0.550790i | \(-0.814326\pi\) |
0.550790 | + | 0.834644i | \(0.314326\pi\) | |||||||
\(828\) | 5.08604 | − | 2.34315i | 0.176752 | − | 0.0814301i | ||||
\(829\) | 28.1823 | − | 16.2711i | 0.978813 | − | 0.565118i | 0.0769017 | − | 0.997039i | \(-0.475497\pi\) |
0.901912 | + | 0.431921i | \(0.142164\pi\) | |||||||
\(830\) | −0.825291 | − | 0.221136i | −0.0286463 | − | 0.00767575i | ||||
\(831\) | −6.96399 | − | 13.4534i | −0.241578 | − | 0.466693i | ||||
\(832\) | −3.55507 | − | 0.601205i | −0.123250 | − | 0.0208430i | ||||
\(833\) | − | 33.6909i | − | 1.16732i | ||||||
\(834\) | −1.39676 | − | 6.36989i | −0.0483658 | − | 0.220571i | ||||
\(835\) | −4.76593 | − | 8.25484i | −0.164932 | − | 0.285671i | ||||
\(836\) | −7.16785 | + | 12.4151i | −0.247905 | + | 0.429385i | ||||
\(837\) | −11.8911 | − | 15.7209i | −0.411016 | − | 0.543393i | ||||
\(838\) | 2.80475 | + | 10.4675i | 0.0968885 | + | 0.361593i | ||||
\(839\) | −3.48230 | − | 12.9961i | −0.120222 | − | 0.448676i | 0.879402 | − | 0.476080i | \(-0.157943\pi\) |
−0.999624 | + | 0.0274036i | \(0.991276\pi\) | |||||||
\(840\) | −0.761375 | − | 0.241993i | −0.0262699 | − | 0.00834956i | ||||
\(841\) | 23.3998 | − | 40.5296i | 0.806889 | − | 1.39757i | ||||
\(842\) | 16.1916 | + | 28.0447i | 0.557999 | + | 0.966483i | ||||
\(843\) | −22.7199 | + | 4.98190i | −0.782513 | + | 0.171586i | ||||
\(844\) | − | 5.27958i | − | 0.181731i | ||||||
\(845\) | 3.42921 | + | 7.09276i | 0.117968 | + | 0.243998i | ||||
\(846\) | 14.0472 | − | 19.8657i | 0.482952 | − | 0.682998i | ||||
\(847\) | −4.89648 | − | 1.31201i | −0.168245 | − | 0.0450812i | ||||
\(848\) | −7.80723 | + | 4.50750i | −0.268101 | + | 0.154788i | ||||
\(849\) | 54.3915 | + | 2.50053i | 1.86671 | + | 0.0858180i | ||||
\(850\) | 17.1891 | − | 17.1891i | 0.589581 | − | 0.589581i | ||||
\(851\) | 10.5978 | − | 2.83968i | 0.363290 | − | 0.0973431i | ||||
\(852\) | 12.1744 | + | 13.3477i | 0.417087 | + | 0.457284i | ||||
\(853\) | −8.09779 | − | 8.09779i | −0.277263 | − | 0.277263i | 0.554752 | − | 0.832015i | \(-0.312813\pi\) |
−0.832015 | + | 0.554752i | \(0.812813\pi\) | |||||||
\(854\) | 5.35925 | + | 3.09416i | 0.183390 | + | 0.105880i | ||||
\(855\) | 6.17578 | + | 0.569038i | 0.211207 | + | 0.0194607i | ||||
\(856\) | −0.808823 | + | 3.01857i | −0.0276450 | + | 0.103173i | ||||
\(857\) | −2.81672 | −0.0962173 | −0.0481086 | − | 0.998842i | \(-0.515319\pi\) | ||||
−0.0481086 | + | 0.998842i | \(0.515319\pi\) | |||||||
\(858\) | 8.00926 | + | 24.9920i | 0.273432 | + | 0.853214i | ||||
\(859\) | 18.5174 | 0.631807 | 0.315903 | − | 0.948791i | \(-0.397692\pi\) | ||||
0.315903 | + | 0.948791i | \(0.397692\pi\) | |||||||
\(860\) | −0.305910 | + | 1.14167i | −0.0104314 | + | 0.0389307i | ||||
\(861\) | −6.30473 | + | 9.84624i | −0.214865 | + | 0.335559i | ||||
\(862\) | −29.0679 | − | 16.7824i | −0.990057 | − | 0.571610i | ||||
\(863\) | −16.9992 | − | 16.9992i | −0.578658 | − | 0.578658i | 0.355875 | − | 0.934534i | \(-0.384183\pi\) |
−0.934534 | + | 0.355875i | \(0.884183\pi\) | |||||||
\(864\) | 0.642559 | + | 5.15627i | 0.0218603 | + | 0.175420i | ||||
\(865\) | −3.17488 | + | 0.850706i | −0.107949 | + | 0.0289249i | ||||
\(866\) | −16.7982 | + | 16.7982i | −0.570825 | + | 0.570825i | ||||
\(867\) | 0.837863 | − | 18.2252i | 0.0284553 | − | 0.618960i | ||||
\(868\) | −2.50045 | + | 1.44364i | −0.0848708 | + | 0.0490002i | ||||
\(869\) | 55.1262 | + | 14.7710i | 1.87003 | + | 0.501073i | ||||
\(870\) | −8.11575 | + | 4.20102i | −0.275150 | + | 0.142428i | ||||
\(871\) | −0.157251 | + | 0.343489i | −0.00532825 | + | 0.0116387i | ||||
\(872\) | − | 1.29259i | − | 0.0437725i | ||||||
\(873\) | −36.3352 | + | 30.2042i | −1.22976 | + | 1.02226i | ||||
\(874\) | 3.18379 | + | 5.51449i | 0.107693 | + | 0.186530i | ||||
\(875\) | 2.22155 | − | 3.84783i | 0.0751020 | − | 0.130080i | ||||
\(876\) | 4.13872 | − | 13.0215i | 0.139834 | − | 0.439956i | ||||
\(877\) | −7.98650 | − | 29.8060i | −0.269685 | − | 1.00648i | −0.959320 | − | 0.282321i | \(-0.908896\pi\) |
0.689635 | − | 0.724157i | \(-0.257771\pi\) | |||||||
\(878\) | −3.84769 | − | 14.3598i | −0.129853 | − | 0.484619i | ||||
\(879\) | −1.09905 | + | 3.45791i | −0.0370702 | + | 0.116633i | ||||
\(880\) | −1.27337 | + | 2.20554i | −0.0429253 | + | 0.0743487i | ||||
\(881\) | 23.1312 | + | 40.0644i | 0.779310 | + | 1.34980i | 0.932340 | + | 0.361583i | \(0.117764\pi\) |
−0.153030 | + | 0.988222i | \(0.548903\pi\) | |||||||
\(882\) | −14.8126 | + | 12.3132i | −0.498767 | + | 0.414608i | ||||
\(883\) | 31.0867i | 1.04615i | 0.852286 | + | 0.523076i | \(0.175216\pi\) | ||||
−0.852286 | + | 0.523076i | \(0.824784\pi\) | |||||||
\(884\) | −6.59513 | − | 17.7324i | −0.221818 | − | 0.596406i | ||||
\(885\) | 8.05376 | − | 4.16893i | 0.270724 | − | 0.140137i | ||||
\(886\) | 38.9670 | + | 10.4412i | 1.30912 | + | 0.350778i | ||||
\(887\) | −31.3930 | + | 18.1248i | −1.05407 | + | 0.608570i | −0.923787 | − | 0.382907i | \(-0.874923\pi\) |
−0.130287 | + | 0.991476i | \(0.541590\pi\) | |||||||
\(888\) | −0.467545 | + | 10.1700i | −0.0156898 | + | 0.341284i | ||||
\(889\) | 1.20283 | − | 1.20283i | 0.0403418 | − | 0.0403418i | ||||
\(890\) | 3.83272 | − | 1.02697i | 0.128473 | − | 0.0344242i | ||||
\(891\) | 31.1806 | − | 21.4068i | 1.04459 | − | 0.717154i | ||||
\(892\) | 2.51039 | + | 2.51039i | 0.0840540 | + | 0.0840540i | ||||
\(893\) | 23.9596 | + | 13.8331i | 0.801778 | + | 0.462907i | ||||
\(894\) | −8.15101 | + | 12.7296i | −0.272610 | + | 0.425742i | ||||
\(895\) | 1.62822 | − | 6.07662i | 0.0544255 | − | 0.203119i | ||||
\(896\) | 0.761114 | 0.0254270 | ||||||||
\(897\) | 11.3924 | + | 2.46953i | 0.380381 | + | 0.0824552i | ||||
\(898\) | −4.56520 | −0.152343 | ||||||||
\(899\) | −8.54806 | + | 31.9018i | −0.285094 | + | 1.06398i | ||||
\(900\) | −13.8396 | − | 1.27519i | −0.461320 | − | 0.0425062i | ||||
\(901\) | −40.9663 | − | 23.6519i | −1.36479 | − | 0.787960i | ||||
\(902\) | 26.3545 | + | 26.3545i | 0.877508 | + | 0.877508i | ||||
\(903\) | −1.73264 | − | 1.89963i | −0.0576588 | − | 0.0632157i | ||||
\(904\) | 6.73373 | − | 1.80430i | 0.223961 | − | 0.0600101i | ||||
\(905\) | −4.76394 | + | 4.76394i | −0.158359 | + | 0.158359i | ||||
\(906\) | −42.4956 | − | 1.95364i | −1.41182 | − | 0.0649054i | ||||
\(907\) | −47.4882 | + | 27.4174i | −1.57682 | + | 0.910378i | −0.581522 | + | 0.813531i | \(0.697543\pi\) |
−0.995299 | + | 0.0968476i | \(0.969124\pi\) | |||||||
\(908\) | −4.85544 | − | 1.30101i | −0.161134 | − | 0.0431756i | ||||
\(909\) | 5.66832 | − | 8.01621i | 0.188006 | − | 0.265881i | ||||
\(910\) | −0.963411 | − | 1.35558i | −0.0319368 | − | 0.0449371i | ||||
\(911\) | − | 12.4963i | − | 0.414022i | −0.978339 | − | 0.207011i | \(-0.933626\pi\) | ||
0.978339 | − | 0.207011i | \(-0.0663737\pi\) | |||||||
\(912\) | −5.77143 | + | 1.26553i | −0.191111 | + | 0.0419060i | ||||
\(913\) | −2.96242 | − | 5.13106i | −0.0980417 | − | 0.169813i | ||||
\(914\) | 13.1464 | − | 22.7702i | 0.434844 | − | 0.753171i | ||||
\(915\) | −8.13340 | − | 2.58510i | −0.268882 | − | 0.0854607i | ||||
\(916\) | −4.16864 | − | 15.5576i | −0.137736 | − | 0.514037i | ||||
\(917\) | 4.35066 | + | 16.2369i | 0.143671 | + | 0.536189i | ||||
\(918\) | −21.7455 | + | 16.4480i | −0.717708 | + | 0.542865i | ||||
\(919\) | −15.2143 | + | 26.3520i | −0.501874 | + | 0.869272i | 0.498123 | + | 0.867106i | \(0.334023\pi\) |
−0.999998 | + | 0.00216566i | \(0.999311\pi\) | |||||||
\(920\) | 0.565601 | + | 0.979649i | 0.0186473 | + | 0.0322981i | ||||
\(921\) | 1.00386 | + | 4.57808i | 0.0330783 | + | 0.150853i | ||||
\(922\) | − | 15.0659i | − | 0.496168i | ||||||
\(923\) | 3.54007 | + | 37.4401i | 0.116523 | + | 1.23236i | ||||
\(924\) | −2.54674 | − | 4.91992i | −0.0837815 | − | 0.161853i | ||||
\(925\) | −26.3028 | − | 7.04781i | −0.864830 | − | 0.231730i | ||||
\(926\) | −15.7475 | + | 9.09183i | −0.517496 | + | 0.298776i | ||||
\(927\) | −13.0755 | + | 6.02391i | −0.429456 | + | 0.197851i | ||||
\(928\) | 6.15628 | − | 6.15628i | 0.202090 | − | 0.202090i | ||||
\(929\) | 11.3485 | − | 3.04082i | 0.372332 | − | 0.0997662i | −0.0678003 | − | 0.997699i | \(-0.521598\pi\) |
0.440133 | + | 0.897933i | \(0.354931\pi\) | |||||||
\(930\) | 2.94192 | − | 2.68331i | 0.0964694 | − | 0.0879894i | ||||
\(931\) | −15.4877 | − | 15.4877i | −0.507590 | − | 0.507590i | ||||
\(932\) | −19.3822 | − | 11.1903i | −0.634886 | − | 0.366552i | ||||
\(933\) | −10.4928 | − | 6.71876i | −0.343520 | − | 0.219962i | ||||
\(934\) | −3.28970 | + | 12.2773i | −0.107642 | + | 0.401726i | ||||
\(935\) | −13.3633 | −0.437027 | ||||||||
\(936\) | −5.38591 | + | 9.38040i | −0.176044 | + | 0.306608i | ||||
\(937\) | 4.30645 | 0.140686 | 0.0703429 | − | 0.997523i | \(-0.477591\pi\) | ||||
0.0703429 | + | 0.997523i | \(0.477591\pi\) | |||||||
\(938\) | 0.0206398 | − | 0.0770288i | 0.000673913 | − | 0.00251508i | ||||
\(939\) | −21.3721 | − | 13.6849i | −0.697451 | − | 0.446591i | ||||
\(940\) | 4.25643 | + | 2.45745i | 0.138829 | + | 0.0801532i | ||||
\(941\) | −35.4161 | − | 35.4161i | −1.15453 | − | 1.15453i | −0.985634 | − | 0.168897i | \(-0.945980\pi\) |
−0.168897 | − | 0.985634i | \(-0.554020\pi\) | |||||||
\(942\) | 14.1680 | − | 12.9225i | 0.461617 | − | 0.421039i | ||||
\(943\) | 15.9907 | − | 4.28471i | 0.520730 | − | 0.139529i | ||||
\(944\) | −6.10925 | + | 6.10925i | −0.198839 | + | 0.198839i | ||||
\(945\) | −1.47216 | + | 1.89130i | −0.0478893 | + | 0.0615241i | ||||
\(946\) | −7.09808 | + | 4.09808i | −0.230778 | + | 0.133240i | ||||
\(947\) | 54.5457 | + | 14.6155i | 1.77250 | + | 0.474939i | 0.989183 | − | 0.146687i | \(-0.0468611\pi\) |
0.783314 | + | 0.621626i | \(0.213528\pi\) | |||||||
\(948\) | 10.8131 | + | 20.8894i | 0.351195 | + | 0.678456i | ||||
\(949\) | 23.1840 | − | 16.4769i | 0.752584 | − | 0.534862i | ||||
\(950\) | − | 15.8037i | − | 0.512739i | ||||||
\(951\) | −2.06227 | − | 9.40492i | −0.0668736 | − | 0.304976i | ||||
\(952\) | 1.99687 | + | 3.45868i | 0.0647190 | + | 0.112097i | ||||
\(953\) | −3.27175 | + | 5.66683i | −0.105982 | + | 0.183567i | −0.914139 | − | 0.405401i | \(-0.867132\pi\) |
0.808157 | + | 0.588967i | \(0.200465\pi\) | |||||||
\(954\) | 4.57337 | + | 26.6555i | 0.148068 | + | 0.863005i | ||||
\(955\) | 0.899128 | + | 3.35559i | 0.0290951 | + | 0.108584i | ||||
\(956\) | 2.22630 | + | 8.30866i | 0.0720037 | + | 0.268721i | ||||
\(957\) | −60.3941 | − | 19.1955i | −1.95226 | − | 0.620502i | ||||
\(958\) | −17.9138 | + | 31.0276i | −0.578769 | + | 1.00246i | ||||
\(959\) | −3.79953 | − | 6.58097i | −0.122693 | − | 0.212511i | ||||
\(960\) | −1.02529 | + | 0.224822i | −0.0330913 | + | 0.00725609i | ||||
\(961\) | 16.6095i | 0.535790i | ||||||||
\(962\) | −13.5085 | + | 16.3298i | −0.435531 | + | 0.526493i | ||||
\(963\) | 7.65478 | + | 5.41275i | 0.246672 | + | 0.174423i | ||||
\(964\) | −5.93615 | − | 1.59059i | −0.191190 | − | 0.0512293i | ||||
\(965\) | 5.95385 | − | 3.43746i | 0.191661 | − | 0.110656i | ||||
\(966\) | −2.45814 | − | 0.113007i | −0.0790893 | − | 0.00363596i | ||||
\(967\) | −10.8941 | + | 10.8941i | −0.350332 | + | 0.350332i | −0.860233 | − | 0.509901i | \(-0.829682\pi\) |
0.509901 | + | 0.860233i | \(0.329682\pi\) | |||||||
\(968\) | −6.43331 | + | 1.72380i | −0.206774 | + | 0.0554050i | ||||
\(969\) | −20.8929 | − | 22.9065i | −0.671176 | − | 0.735862i | ||||
\(970\) | −6.74915 | − | 6.74915i | −0.216702 | − | 0.216702i | ||||
\(971\) | −2.07268 | − | 1.19666i | −0.0665153 | − | 0.0384027i | 0.466373 | − | 0.884588i | \(-0.345560\pi\) |
−0.532889 | + | 0.846185i | \(0.678894\pi\) | |||||||
\(972\) | 15.1790 | + | 3.54930i | 0.486867 | + | 0.113844i | ||||
\(973\) | −0.741677 | + | 2.76798i | −0.0237771 | + | 0.0887372i | ||||
\(974\) | −6.72951 | −0.215628 | ||||||||
\(975\) | −21.4221 | − | 19.4454i | −0.686057 | − | 0.622750i | ||||
\(976\) | 8.13061 | 0.260255 | ||||||||
\(977\) | −8.71475 | + | 32.5239i | −0.278810 | + | 1.04053i | 0.674436 | + | 0.738334i | \(0.264387\pi\) |
−0.953245 | + | 0.302198i | \(0.902280\pi\) | |||||||
\(978\) | −4.90858 | + | 7.66584i | −0.156959 | + | 0.245127i | ||||
\(979\) | 23.8290 | + | 13.7577i | 0.761579 | + | 0.439698i | ||||
\(980\) | −2.75140 | − | 2.75140i | −0.0878902 | − | 0.0878902i | ||||
\(981\) | −3.63774 | − | 1.34307i | −0.116144 | − | 0.0428810i | ||||
\(982\) | 28.7979 | − | 7.71639i | 0.918979 | − | 0.246240i | ||||
\(983\) | 26.5732 | − | 26.5732i | 0.847553 | − | 0.847553i | −0.142274 | − | 0.989827i | \(-0.545442\pi\) |
0.989827 | + | 0.142274i | \(0.0454415\pi\) | |||||||
\(984\) | −0.705463 | + | 15.3452i | −0.0224893 | + | 0.489188i | ||||
\(985\) | −2.45786 | + | 1.41905i | −0.0783140 | + | 0.0452146i | ||||
\(986\) | 44.1273 | + | 11.8239i | 1.40530 | + | 0.376549i | ||||
\(987\) | −9.49485 | + | 4.91490i | −0.302225 | + | 0.156443i | ||||
\(988\) | −11.1834 | − | 5.11982i | −0.355791 | − | 0.162883i | ||||
\(989\) | 3.64054i | 0.115762i | ||||||||
\(990\) | 4.88397 | + | 5.87534i | 0.155223 | + | 0.186731i | ||||
\(991\) | −10.8598 | − | 18.8098i | −0.344974 | − | 0.597512i | 0.640375 | − | 0.768062i | \(-0.278779\pi\) |
−0.985349 | + | 0.170550i | \(0.945445\pi\) | |||||||
\(992\) | −1.89674 | + | 3.28525i | −0.0602216 | + | 0.104307i | ||||
\(993\) | 10.3633 | − | 32.6058i | 0.328871 | − | 1.03471i | ||||
\(994\) | −2.05468 | − | 7.66817i | −0.0651705 | − | 0.243220i | ||||
\(995\) | −2.02378 | − | 7.55283i | −0.0641580 | − | 0.239441i | ||||
\(996\) | 0.739683 | − | 2.32724i | 0.0234377 | − | 0.0737413i | ||||
\(997\) | 5.77610 | − | 10.0045i | 0.182931 | − | 0.316846i | −0.759946 | − | 0.649986i | \(-0.774775\pi\) |
0.942877 | + | 0.333140i | \(0.108108\pi\) | |||||||
\(998\) | −18.0657 | − | 31.2907i | −0.571859 | − | 0.990489i | ||||
\(999\) | 28.1358 | + | 11.8831i | 0.890178 | + | 0.375963i |
(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 | 78.2.k.a.41.4 | yes | 16 | |
3.2 | odd | 2 | inner | 78.2.k.a.41.2 | ✓ | 16 | |
4.3 | odd | 2 | 624.2.cn.d.353.1 | 16 | |||
12.11 | even | 2 | 624.2.cn.d.353.2 | 16 | |||
13.2 | odd | 12 | 1014.2.g.d.437.5 | 16 | |||
13.3 | even | 3 | 1014.2.g.c.239.5 | 16 | |||
13.7 | odd | 12 | inner | 78.2.k.a.59.2 | yes | 16 | |
13.10 | even | 6 | 1014.2.g.d.239.1 | 16 | |||
13.11 | odd | 12 | 1014.2.g.c.437.1 | 16 | |||
39.2 | even | 12 | 1014.2.g.d.437.1 | 16 | |||
39.11 | even | 12 | 1014.2.g.c.437.5 | 16 | |||
39.20 | even | 12 | inner | 78.2.k.a.59.4 | yes | 16 | |
39.23 | odd | 6 | 1014.2.g.d.239.5 | 16 | |||
39.29 | odd | 6 | 1014.2.g.c.239.1 | 16 | |||
52.7 | even | 12 | 624.2.cn.d.449.2 | 16 | |||
156.59 | odd | 12 | 624.2.cn.d.449.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
78.2.k.a.41.2 | ✓ | 16 | 3.2 | odd | 2 | inner | |
78.2.k.a.41.4 | yes | 16 | 1.1 | even | 1 | trivial | |
78.2.k.a.59.2 | yes | 16 | 13.7 | odd | 12 | inner | |
78.2.k.a.59.4 | yes | 16 | 39.20 | even | 12 | inner | |
624.2.cn.d.353.1 | 16 | 4.3 | odd | 2 | |||
624.2.cn.d.353.2 | 16 | 12.11 | even | 2 | |||
624.2.cn.d.449.1 | 16 | 156.59 | odd | 12 | |||
624.2.cn.d.449.2 | 16 | 52.7 | even | 12 | |||
1014.2.g.c.239.1 | 16 | 39.29 | odd | 6 | |||
1014.2.g.c.239.5 | 16 | 13.3 | even | 3 | |||
1014.2.g.c.437.1 | 16 | 13.11 | odd | 12 | |||
1014.2.g.c.437.5 | 16 | 39.11 | even | 12 | |||
1014.2.g.d.239.1 | 16 | 13.10 | even | 6 | |||
1014.2.g.d.239.5 | 16 | 39.23 | odd | 6 | |||
1014.2.g.d.437.1 | 16 | 39.2 | even | 12 | |||
1014.2.g.d.437.5 | 16 | 13.2 | odd | 12 |