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: | \( x^{16} - 8 x^{15} + 48 x^{14} - 196 x^{13} + 642 x^{12} - 1668 x^{11} + 3580 x^{10} - 6328 x^{9} + \cdots + 25 \) |
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 | 59.2 | ||
Root | \(0.500000 + 2.00333i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 78.59 |
Dual form | 78.2.k.a.41.2 |
$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(67\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{11}{12}\right)\) |
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 | ||||
\(3\) | 0.0795432 | − | 1.73022i | 0.0459243 | − | 0.998945i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 0.428520 | − | 0.428520i | 0.191640 | − | 0.191640i | −0.604765 | − | 0.796404i | \(-0.706733\pi\) |
0.796404 | + | 0.604765i | \(0.206733\pi\) | |||||||
\(6\) | −1.69185 | + | 0.370982i | −0.690697 | + | 0.151453i | ||||
\(7\) | −0.735180 | − | 0.196991i | −0.277872 | − | 0.0744555i | 0.117192 | − | 0.993109i | \(-0.462611\pi\) |
−0.395064 | + | 0.918654i | \(0.629277\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −2.98735 | − | 0.275255i | −0.995782 | − | 0.0917517i | ||||
\(10\) | −0.524827 | − | 0.303009i | −0.165965 | − | 0.0958199i | ||||
\(11\) | 4.05922 | − | 1.08766i | 1.22390 | − | 0.327943i | 0.411699 | − | 0.911320i | \(-0.364936\pi\) |
0.812201 | + | 0.583377i | \(0.198269\pi\) | |||||||
\(12\) | 0.796225 | + | 1.53819i | 0.229850 | + | 0.444037i | ||||
\(13\) | 0.601205 | + | 3.55507i | 0.166744 | + | 0.986000i | ||||
\(14\) | 0.761114i | 0.203416i | ||||||||
\(15\) | −0.707349 | − | 0.775521i | −0.182637 | − | 0.200239i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 2.62362 | + | 4.54424i | 0.636320 | + | 1.10214i | 0.986234 | + | 0.165357i | \(0.0528776\pi\) |
−0.349914 | + | 0.936782i | \(0.613789\pi\) | |||||||
\(18\) | 0.507306 | + | 2.95680i | 0.119573 | + | 0.696923i | ||||
\(19\) | 0.882911 | − | 3.29507i | 0.202554 | − | 0.755940i | −0.787628 | − | 0.616151i | \(-0.788691\pi\) |
0.990181 | − | 0.139789i | \(-0.0446424\pi\) | |||||||
\(20\) | −0.156849 | + | 0.585369i | −0.0350725 | + | 0.130892i | ||||
\(21\) | −0.399317 | + | 1.25636i | −0.0871381 | + | 0.274159i | ||||
\(22\) | −2.10121 | − | 3.63939i | −0.447978 | − | 0.775921i | ||||
\(23\) | −0.933306 | + | 1.61653i | −0.194608 | + | 0.337071i | −0.946772 | − | 0.321905i | \(-0.895677\pi\) |
0.752164 | + | 0.658976i | \(0.229010\pi\) | |||||||
\(24\) | 1.27970 | − | 1.16721i | 0.261217 | − | 0.238255i | ||||
\(25\) | 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 | \(-0.632977\pi\) |
−0.994404 | + | 0.105641i | \(0.966311\pi\) | |||||||
\(30\) | −0.566020 | + | 0.883966i | −0.103341 | + | 0.161389i | ||||
\(31\) | −2.68240 | − | 2.68240i | −0.481773 | − | 0.481773i | 0.423925 | − | 0.905697i | \(-0.360652\pi\) |
−0.905697 | + | 0.423925i | \(0.860652\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −1.55902 | − | 7.10987i | −0.271390 | − | 1.23767i | ||||
\(34\) | 3.71035 | − | 3.71035i | 0.636320 | − | 0.636320i | ||||
\(35\) | −0.399453 | + | 0.230625i | −0.0675200 | + | 0.0389827i | ||||
\(36\) | 2.72474 | − | 1.25529i | 0.454124 | − | 0.209216i | ||||
\(37\) | 1.52130 | + | 5.67758i | 0.250101 | + | 0.933389i | 0.970751 | + | 0.240090i | \(0.0771769\pi\) |
−0.720650 | + | 0.693299i | \(0.756156\pi\) | |||||||
\(38\) | −3.41130 | −0.553387 | ||||||||
\(39\) | 6.19889 | − | 0.757437i | 0.992617 | − | 0.121287i | ||||
\(40\) | 0.606018 | 0.0958199 | ||||||||
\(41\) | −2.29545 | − | 8.56672i | −0.358488 | − | 1.33790i | −0.876037 | − | 0.482243i | \(-0.839822\pi\) |
0.517549 | − | 0.855654i | \(-0.326845\pi\) | |||||||
\(42\) | 1.31690 | + | 0.0605415i | 0.203202 | + | 0.00934175i | ||||
\(43\) | 1.68905 | − | 0.975173i | 0.257578 | − | 0.148712i | −0.365651 | − | 0.930752i | \(-0.619154\pi\) |
0.623229 | + | 0.782039i | \(0.285820\pi\) | |||||||
\(44\) | −2.97155 | + | 2.97155i | −0.447978 | + | 0.447978i | ||||
\(45\) | −1.39809 | + | 1.16218i | −0.208415 | + | 0.173248i | ||||
\(46\) | 1.80301 | + | 0.483115i | 0.265839 | + | 0.0712314i | ||||
\(47\) | −5.73474 | − | 5.73474i | −0.836498 | − | 0.836498i | 0.151898 | − | 0.988396i | \(-0.451461\pi\) |
−0.988396 | + | 0.151898i | \(0.951461\pi\) | |||||||
\(48\) | −1.45865 | − | 0.933998i | −0.210537 | − | 0.134811i | ||||
\(49\) | −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 | \(0.787476\pi\) | |||||||
\(54\) | 5.15627 | − | 0.642559i | 0.701679 | − | 0.0874413i | ||||
\(55\) | 1.27337 | − | 2.20554i | 0.171701 | − | 0.297395i | ||||
\(56\) | −0.380557 | − | 0.659144i | −0.0508541 | − | 0.0880819i | ||||
\(57\) | −5.63097 | − | 1.78973i | −0.745841 | − | 0.237056i | ||||
\(58\) | −2.25335 | + | 8.40963i | −0.295880 | + | 1.10424i | ||||
\(59\) | −2.23614 | + | 8.34539i | −0.291121 | + | 1.08648i | 0.653129 | + | 0.757247i | \(0.273456\pi\) |
−0.944249 | + | 0.329231i | \(0.893211\pi\) | |||||||
\(60\) | 1.00034 | + | 0.317946i | 0.129144 | + | 0.0410467i | ||||
\(61\) | 4.06531 | + | 7.04132i | 0.520509 | + | 0.901548i | 0.999716 | + | 0.0238462i | \(0.00759119\pi\) |
−0.479206 | + | 0.877702i | \(0.659075\pi\) | |||||||
\(62\) | −1.89674 | + | 3.28525i | −0.240886 | + | 0.417227i | ||||
\(63\) | 2.14201 | + | 0.790842i | 0.269868 | + | 0.0996367i | ||||
\(64\) | 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 | −0.264996 | − | 0.964250i | \(-0.585371\pi\) |
0.252632 | + | 0.967563i | \(0.418704\pi\) | |||||||
\(68\) | −4.54424 | − | 2.62362i | −0.551069 | − | 0.318160i | ||||
\(69\) | 2.72273 | + | 1.74341i | 0.327778 | + | 0.209882i | ||||
\(70\) | 0.326152 | + | 0.326152i | 0.0389827 | + | 0.0389827i | ||||
\(71\) | 10.0749 | + | 2.69957i | 1.19567 | + | 0.320380i | 0.801126 | − | 0.598496i | \(-0.204235\pi\) |
0.394548 | + | 0.918875i | \(0.370901\pi\) | |||||||
\(72\) | −1.91774 | − | 2.30701i | −0.226008 | − | 0.271883i | ||||
\(73\) | 5.57806 | − | 5.57806i | 0.652863 | − | 0.652863i | −0.300819 | − | 0.953681i | \(-0.597260\pi\) |
0.953681 | + | 0.300819i | \(0.0972599\pi\) | |||||||
\(74\) | 5.09038 | − | 2.93893i | 0.591745 | − | 0.341644i | ||||
\(75\) | 8.01568 | + | 0.368503i | 0.925571 | + | 0.0425511i | ||||
\(76\) | 0.882911 | + | 3.29507i | 0.101277 | + | 0.377970i | ||||
\(77\) | −3.19851 | −0.364505 | ||||||||
\(78\) | −2.33602 | − | 5.79163i | −0.264502 | − | 0.655773i | ||||
\(79\) | −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 | ||||
\(81\) | 8.84847 | + | 1.64456i | 0.983163 | + | 0.182729i | ||||
\(82\) | −7.68071 | + | 4.43446i | −0.848193 | + | 0.489704i | ||||
\(83\) | −0.996926 | + | 0.996926i | −0.109427 | + | 0.109427i | −0.759700 | − | 0.650273i | \(-0.774654\pi\) |
0.650273 | + | 0.759700i | \(0.274654\pi\) | |||||||
\(84\) | −0.282360 | − | 1.28769i | −0.0308080 | − | 0.140499i | ||||
\(85\) | 3.07156 | + | 0.823023i | 0.333158 | + | 0.0892694i | ||||
\(86\) | −1.37910 | − | 1.37910i | −0.148712 | − | 0.148712i | ||||
\(87\) | −8.13166 | + | 12.6994i | −0.871806 | + | 1.36152i | ||||
\(88\) | 3.63939 | + | 2.10121i | 0.387961 | + | 0.223989i | ||||
\(89\) | 6.32442 | − | 1.69462i | 0.670388 | − | 0.179630i | 0.0924582 | − | 0.995717i | \(-0.470528\pi\) |
0.577929 | + | 0.816087i | \(0.303861\pi\) | |||||||
\(90\) | 1.48444 | + | 1.04965i | 0.156473 | + | 0.110643i | ||||
\(91\) | 0.258323 | − | 2.73205i | 0.0270796 | − | 0.286397i | ||||
\(92\) | − | 1.86661i | − | 0.194608i | ||||||
\(93\) | −4.85451 | + | 4.42778i | −0.503389 | + | 0.459139i | ||||
\(94\) | −4.05507 | + | 7.02359i | −0.418249 | + | 0.724428i | ||||
\(95\) | −1.03366 | − | 1.79035i | −0.106051 | − | 0.183686i | ||||
\(96\) | −0.524648 | + | 1.65068i | −0.0535466 | + | 0.168472i | ||||
\(97\) | 4.07638 | − | 15.2132i | 0.413893 | − | 1.54467i | −0.373148 | − | 0.927772i | \(-0.621722\pi\) |
0.787042 | − | 0.616900i | \(-0.211612\pi\) | |||||||
\(98\) | −1.66180 | + | 6.20192i | −0.167867 | + | 0.626489i | ||||
\(99\) | −12.4257 | + | 2.13191i | −1.24883 | + | 0.214265i | ||||
\(100\) | −2.31637 | − | 4.01207i | −0.231637 | − | 0.401207i | ||||
\(101\) | 1.63630 | − | 2.83416i | 0.162818 | − | 0.282009i | −0.773060 | − | 0.634333i | \(-0.781275\pi\) |
0.935878 | + | 0.352323i | \(0.114608\pi\) | |||||||
\(102\) | −6.12461 | − | 6.71487i | −0.606426 | − | 0.664871i | ||||
\(103\) | − | 4.79880i | − | 0.472840i | −0.971651 | − | 0.236420i | \(-0.924026\pi\) | ||
0.971651 | − | 0.236420i | \(-0.0759741\pi\) | |||||||
\(104\) | −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 | \(-0.381600\pi\) |
−0.625080 | + | 0.780560i | \(0.714934\pi\) | |||||||
\(108\) | −1.95521 | − | 4.81427i | −0.188140 | − | 0.463253i | ||||
\(109\) | −0.913996 | − | 0.913996i | −0.0875449 | − | 0.0875449i | 0.661978 | − | 0.749523i | \(-0.269717\pi\) |
−0.749523 | + | 0.661978i | \(0.769717\pi\) | |||||||
\(110\) | −2.45996 | − | 0.659144i | −0.234548 | − | 0.0628469i | ||||
\(111\) | 9.94450 | − | 2.18058i | 0.943890 | − | 0.206972i | ||||
\(112\) | −0.538189 | + | 0.538189i | −0.0508541 | + | 0.0508541i | ||||
\(113\) | 6.03730 | − | 3.48564i | 0.567942 | − | 0.327901i | −0.188385 | − | 0.982095i | \(-0.560325\pi\) |
0.756327 | + | 0.654194i | \(0.226992\pi\) | |||||||
\(114\) | −0.271346 | + | 5.90232i | −0.0254139 | + | 0.552803i | ||||
\(115\) | 0.292776 | + | 1.09266i | 0.0273015 | + | 0.101891i | ||||
\(116\) | 8.70629 | 0.808359 | ||||||||
\(117\) | −0.817456 | − | 10.7857i | −0.0755738 | − | 0.997140i | ||||
\(118\) | 8.63979 | 0.795357 | ||||||||
\(119\) | −1.03366 | − | 3.85766i | −0.0947551 | − | 0.353631i | ||||
\(120\) | 0.0482047 | − | 1.04855i | 0.00440046 | − | 0.0957188i | ||||
\(121\) | 5.76795 | − | 3.33013i | 0.524359 | − | 0.302739i | ||||
\(122\) | 5.74921 | − | 5.74921i | 0.520509 | − | 0.520509i | ||||
\(123\) | −15.0049 | + | 3.29021i | −1.35295 | + | 0.296668i | ||||
\(124\) | 3.66422 | + | 0.981825i | 0.329057 | + | 0.0881705i | ||||
\(125\) | 4.12782 | + | 4.12782i | 0.369203 | + | 0.369203i | ||||
\(126\) | 0.209501 | − | 2.27371i | 0.0186638 | − | 0.202558i | ||||
\(127\) | −1.93554 | − | 1.11748i | −0.171751 | − | 0.0991607i | 0.411660 | − | 0.911337i | \(-0.364949\pi\) |
−0.583411 | + | 0.812177i | \(0.698282\pi\) | |||||||
\(128\) | 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 | \(-0.415308\pi\) | |||||||
\(132\) | 4.90508 | + | 5.37782i | 0.426933 | + | 0.468079i | ||||
\(133\) | −1.29820 | + | 2.24854i | −0.112568 | + | 0.194973i | ||||
\(134\) | 0.0523877 | + | 0.0907381i | 0.00452561 | + | 0.00783858i | ||||
\(135\) | 1.89963 | + | 2.51145i | 0.163494 | + | 0.216151i | ||||
\(136\) | −1.35808 | + | 5.06844i | −0.116455 | + | 0.434615i | ||||
\(137\) | −2.58408 | + | 9.64392i | −0.220773 | + | 0.823935i | 0.763281 | + | 0.646066i | \(0.223587\pi\) |
−0.984054 | + | 0.177869i | \(0.943080\pi\) | |||||||
\(138\) | 0.979314 | − | 3.08118i | 0.0833647 | − | 0.262287i | ||||
\(139\) | 1.88252 | + | 3.26061i | 0.159673 | + | 0.276562i | 0.934751 | − | 0.355304i | \(-0.115623\pi\) |
−0.775078 | + | 0.631866i | \(0.782289\pi\) | |||||||
\(140\) | 0.230625 | − | 0.399453i | 0.0194913 | − | 0.0337600i | ||||
\(141\) | −10.3785 | + | 9.46622i | −0.874031 | + | 0.797200i | ||||
\(142\) | − | 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 | ||||
\(147\) | −5.99693 | + | 9.36553i | −0.494618 | + | 0.772456i | ||||
\(148\) | −4.15628 | − | 4.15628i | −0.341644 | − | 0.341644i | ||||
\(149\) | 8.42964 | + | 2.25872i | 0.690583 | + | 0.185041i | 0.587009 | − | 0.809581i | \(-0.300305\pi\) |
0.103574 | + | 0.994622i | \(0.466972\pi\) | |||||||
\(150\) | −1.71866 | − | 7.83793i | −0.140328 | − | 0.639964i | ||||
\(151\) | −17.3671 | + | 17.3671i | −1.41331 | + | 1.41331i | −0.681429 | + | 0.731885i | \(0.738641\pi\) |
−0.731885 | + | 0.681429i | \(0.761359\pi\) | |||||||
\(152\) | 2.95428 | − | 1.70565i | 0.239623 | − | 0.138347i | ||||
\(153\) | −6.58682 | − | 14.2974i | −0.532513 | − | 1.15587i | ||||
\(154\) | 0.827836 | + | 3.08953i | 0.0667090 | + | 0.248961i | ||||
\(155\) | −2.29892 | −0.184654 | ||||||||
\(156\) | −4.98968 | + | 3.75541i | −0.399494 | + | 0.300673i | ||||
\(157\) | 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 | ||||
\(159\) | 15.5980 | + | 0.717083i | 1.23700 | + | 0.0568684i | ||||
\(160\) | −0.524827 | + | 0.303009i | −0.0414912 | + | 0.0239550i | ||||
\(161\) | 1.00459 | − | 1.00459i | 0.0791728 | − | 0.0791728i | ||||
\(162\) | −0.701625 | − | 8.97261i | −0.0551249 | − | 0.704955i | ||||
\(163\) | −5.07638 | − | 1.36021i | −0.397613 | − | 0.106540i | 0.0544714 | − | 0.998515i | \(-0.482653\pi\) |
−0.452084 | + | 0.891975i | \(0.649319\pi\) | |||||||
\(164\) | 6.27128 | + | 6.27128i | 0.489704 | + | 0.489704i | ||||
\(165\) | −3.71479 | − | 2.37865i | −0.289196 | − | 0.185178i | ||||
\(166\) | 1.22098 | + | 0.704933i | 0.0947664 | + | 0.0547134i | ||||
\(167\) | −15.1927 | + | 4.07088i | −1.17565 | + | 0.315014i | −0.793200 | − | 0.608962i | \(-0.791586\pi\) |
−0.382450 | + | 0.923976i | \(0.624920\pi\) | |||||||
\(168\) | −1.17074 | + | 0.606018i | −0.0903244 | + | 0.0467553i | ||||
\(169\) | −12.2771 | + | 4.27466i | −0.944393 | + | 0.328820i | ||||
\(170\) | − | 3.17992i | − | 0.243889i | ||||||
\(171\) | −3.54454 | + | 9.60048i | −0.271058 | + | 0.734167i | ||||
\(172\) | −0.975173 | + | 1.68905i | −0.0743562 | + | 0.128789i | ||||
\(173\) | −2.71186 | − | 4.69708i | −0.206179 | − | 0.357113i | 0.744329 | − | 0.667813i | \(-0.232770\pi\) |
−0.950508 | + | 0.310701i | \(0.899436\pi\) | |||||||
\(174\) | 14.3713 | + | 4.56774i | 1.08949 | + | 0.346279i | ||||
\(175\) | 0.912608 | − | 3.40590i | 0.0689867 | − | 0.257462i | ||||
\(176\) | 1.08766 | − | 4.05922i | 0.0819857 | − | 0.305975i | ||||
\(177\) | 14.2615 | + | 4.53284i | 1.07196 | + | 0.340709i | ||||
\(178\) | −3.27376 | − | 5.67032i | −0.245379 | − | 0.425009i | ||||
\(179\) | −5.19042 | + | 8.99007i | −0.387950 | + | 0.671949i | −0.992174 | − | 0.124866i | \(-0.960150\pi\) |
0.604224 | + | 0.796815i | \(0.293483\pi\) | |||||||
\(180\) | 0.629688 | − | 1.70553i | 0.0469342 | − | 0.127122i | ||||
\(181\) | 11.1172i | 0.826335i | 0.910655 | + | 0.413167i | \(0.135578\pi\) | ||||
−0.910655 | + | 0.413167i | \(0.864422\pi\) | |||||||
\(182\) | −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 | ||||
\(186\) | 5.53335 | + | 3.54310i | 0.405725 | + | 0.259793i | ||||
\(187\) | 15.5924 | + | 15.5924i | 1.14023 | + | 1.14023i | ||||
\(188\) | 7.83380 | + | 2.09906i | 0.571339 | + | 0.153090i | ||||
\(189\) | 1.53872 | − | 3.64326i | 0.111925 | − | 0.265008i | ||||
\(190\) | −1.46181 | + | 1.46181i | −0.106051 | + | 0.106051i | ||||
\(191\) | 4.96444 | − | 2.86622i | 0.359214 | − | 0.207392i | −0.309522 | − | 0.950892i | \(-0.600169\pi\) |
0.668736 | + | 0.743500i | \(0.266836\pi\) | |||||||
\(192\) | 1.73022 | + | 0.0795432i | 0.124868 | + | 0.00574054i | ||||
\(193\) | −2.93615 | − | 10.9578i | −0.211348 | − | 0.788763i | −0.987420 | − | 0.158118i | \(-0.949457\pi\) |
0.776072 | − | 0.630645i | \(-0.217209\pi\) | |||||||
\(194\) | −15.7499 | −1.13078 | ||||||||
\(195\) | 2.33177 | − | 2.98092i | 0.166982 | − | 0.213468i | ||||
\(196\) | 6.42071 | 0.458622 | ||||||||
\(197\) | −1.21210 | − | 4.52361i | −0.0863584 | − | 0.322294i | 0.909210 | − | 0.416339i | \(-0.136687\pi\) |
−0.995568 | + | 0.0940449i | \(0.970020\pi\) | |||||||
\(198\) | 5.27526 | + | 11.4505i | 0.374897 | + | 0.813751i | ||||
\(199\) | 11.1741 | − | 6.45135i | 0.792108 | − | 0.457324i | −0.0485961 | − | 0.998819i | \(-0.515475\pi\) |
0.840704 | + | 0.541495i | \(0.182141\pi\) | |||||||
\(200\) | −3.27584 | + | 3.27584i | −0.231637 | + | 0.231637i | ||||
\(201\) | 0.0388698 | + | 0.177265i | 0.00274166 | + | 0.0125033i | ||||
\(202\) | −3.16109 | − | 0.847012i | −0.222414 | − | 0.0595956i | ||||
\(203\) | 4.68563 | + | 4.68563i | 0.328867 | + | 0.328867i | ||||
\(204\) | −4.90090 | + | 7.65385i | −0.343132 | + | 0.535877i | ||||
\(205\) | −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 | ||||||
\(210\) | 0.590260 | − | 0.538373i | 0.0407318 | − | 0.0371513i | ||||
\(211\) | 2.63979 | − | 4.57225i | 0.181731 | − | 0.314767i | −0.760739 | − | 0.649057i | \(-0.775163\pi\) |
0.942470 | + | 0.334291i | \(0.108497\pi\) | |||||||
\(212\) | −4.50750 | − | 7.80723i | −0.309577 | − | 0.536203i | ||||
\(213\) | 5.47225 | − | 17.2171i | 0.374952 | − | 1.17970i | ||||
\(214\) | −0.808823 | + | 3.01857i | −0.0552900 | + | 0.206345i | ||||
\(215\) | 0.305910 | − | 1.14167i | 0.0208629 | − | 0.0778613i | ||||
\(216\) | −4.14418 | + | 3.13461i | −0.281976 | + | 0.213283i | ||||
\(217\) | 1.44364 | + | 2.50045i | 0.0980004 | + | 0.169742i | ||||
\(218\) | −0.646293 | + | 1.11941i | −0.0437725 | + | 0.0758161i | ||||
\(219\) | −9.20760 | − | 10.0950i | −0.622192 | − | 0.682156i | ||||
\(220\) | 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 | −0.371804 | − | 0.928311i | \(-0.621261\pi\) |
0.142164 | + | 0.989843i | \(0.454594\pi\) | |||||||
\(224\) | 0.659144 | + | 0.380557i | 0.0440409 | + | 0.0254270i | ||||
\(225\) | 1.27519 | − | 13.8396i | 0.0850124 | − | 0.922640i | ||||
\(226\) | −4.92944 | − | 4.92944i | −0.327901 | − | 0.327901i | ||||
\(227\) | −4.85544 | − | 1.30101i | −0.322267 | − | 0.0863512i | 0.0940589 | − | 0.995567i | \(-0.470016\pi\) |
−0.416326 | + | 0.909215i | \(0.636682\pi\) | |||||||
\(228\) | 5.77143 | − | 1.26553i | 0.382222 | − | 0.0838119i | ||||
\(229\) | 11.3889 | − | 11.3889i | 0.752602 | − | 0.752602i | −0.222362 | − | 0.974964i | \(-0.571377\pi\) |
0.974964 | + | 0.222362i | \(0.0713767\pi\) | |||||||
\(230\) | 0.979649 | − | 0.565601i | 0.0645961 | − | 0.0372946i | ||||
\(231\) | −0.254420 | + | 5.53414i | −0.0167396 | + | 0.364120i | ||||
\(232\) | −2.25335 | − | 8.40963i | −0.147940 | − | 0.552120i | ||||
\(233\) | −22.3807 | −1.46621 | −0.733103 | − | 0.680117i | \(-0.761929\pi\) | ||||
−0.733103 | + | 0.680117i | \(0.761929\pi\) | |||||||
\(234\) | −10.2066 | + | 3.58115i | −0.667228 | + | 0.234107i | ||||
\(235\) | −4.91490 | −0.320613 | ||||||||
\(236\) | −2.23614 | − | 8.34539i | −0.145560 | − | 0.543239i | ||||
\(237\) | −1.08024 | + | 23.4973i | −0.0701690 | + | 1.52631i | ||||
\(238\) | −3.45868 | + | 1.99687i | −0.224193 | + | 0.129438i | ||||
\(239\) | 6.08236 | − | 6.08236i | 0.393435 | − | 0.393435i | −0.482475 | − | 0.875910i | \(-0.660262\pi\) |
0.875910 | + | 0.482475i | \(0.160262\pi\) | |||||||
\(240\) | −1.02529 | + | 0.224822i | −0.0661825 | + | 0.0145122i | ||||
\(241\) | 5.93615 | + | 1.59059i | 0.382381 | + | 0.102459i | 0.444889 | − | 0.895586i | \(-0.353243\pi\) |
−0.0625080 | + | 0.998044i | \(0.519910\pi\) | |||||||
\(242\) | −4.70951 | − | 4.70951i | −0.302739 | − | 0.302739i | ||||
\(243\) | 3.54930 | − | 15.1790i | 0.227688 | − | 0.973734i | ||||
\(244\) | −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 | ||||||
\(249\) | 1.64561 | + | 1.80420i | 0.104286 | + | 0.114337i | ||||
\(250\) | 2.91881 | − | 5.05553i | 0.184602 | − | 0.319739i | ||||
\(251\) | −6.27808 | − | 10.8740i | −0.396269 | − | 0.686358i | 0.596993 | − | 0.802246i | \(-0.296362\pi\) |
−0.993262 | + | 0.115888i | \(0.963029\pi\) | |||||||
\(252\) | −2.25046 | + | 0.386118i | −0.141766 | + | 0.0243231i | ||||
\(253\) | −2.03025 | + | 7.57698i | −0.127641 | + | 0.476361i | ||||
\(254\) | −0.578452 | + | 2.15881i | −0.0362953 | + | 0.135456i | ||||
\(255\) | 1.66834 | − | 5.24903i | 0.104475 | − | 0.328707i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.36891 | − | 4.10307i | 0.147768 | − | 0.255942i | −0.782634 | − | 0.622482i | \(-0.786124\pi\) |
0.930402 | + | 0.366540i | \(0.119458\pi\) | |||||||
\(258\) | −2.49585 | + | 2.27646i | −0.155385 | + | 0.141726i | ||||
\(259\) | − | 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 | \(-0.277412\pi\) |
−0.340939 | + | 0.940085i | \(0.610745\pi\) | |||||||
\(264\) | 3.92504 | − | 6.12983i | 0.241570 | − | 0.377265i | ||||
\(265\) | 3.86311 | + | 3.86311i | 0.237309 | + | 0.237309i | ||||
\(266\) | 2.50792 | + | 0.671996i | 0.153771 | + | 0.0412027i | ||||
\(267\) | −2.42901 | − | 11.0775i | −0.148653 | − | 0.677930i | ||||
\(268\) | 0.0740874 | − | 0.0740874i | 0.00452561 | − | 0.00452561i | ||||
\(269\) | 6.32711 | − | 3.65296i | 0.385770 | − | 0.222725i | −0.294555 | − | 0.955634i | \(-0.595172\pi\) |
0.680326 | + | 0.732910i | \(0.261838\pi\) | |||||||
\(270\) | 1.93421 | − | 2.48491i | 0.117712 | − | 0.151227i | ||||
\(271\) | −6.34829 | − | 23.6922i | −0.385631 | − | 1.43920i | −0.837169 | − | 0.546944i | \(-0.815791\pi\) |
0.451538 | − | 0.892252i | \(-0.350876\pi\) | |||||||
\(272\) | 5.24723 | 0.318160 | ||||||||
\(273\) | −4.70651 | − | 0.664273i | −0.284851 | − | 0.0402036i | ||||
\(274\) | 9.98412 | 0.603162 | ||||||||
\(275\) | 5.03887 | + | 18.8053i | 0.303855 | + | 1.13400i | ||||
\(276\) | −3.22966 | − | 0.148476i | −0.194402 | − | 0.00893723i | ||||
\(277\) | −7.57448 | + | 4.37313i | −0.455107 | + | 0.262756i | −0.709984 | − | 0.704217i | \(-0.751298\pi\) |
0.254878 | + | 0.966973i | \(0.417965\pi\) | |||||||
\(278\) | 2.66228 | − | 2.66228i | 0.159673 | − | 0.159673i | ||||
\(279\) | 7.27490 | + | 8.75159i | 0.435537 | + | 0.523944i | ||||
\(280\) | −0.445532 | − | 0.119380i | −0.0266257 | − | 0.00713432i | ||||
\(281\) | 9.49571 | + | 9.49571i | 0.566467 | + | 0.566467i | 0.931137 | − | 0.364670i | \(-0.118818\pi\) |
−0.364670 | + | 0.931137i | \(0.618818\pi\) | |||||||
\(282\) | 11.8298 | + | 7.57486i | 0.704456 | + | 0.451077i | ||||
\(283\) | 27.2245 | + | 15.7181i | 1.61833 | + | 0.934342i | 0.987353 | + | 0.158539i | \(0.0506782\pi\) |
0.630975 | + | 0.775803i | \(0.282655\pi\) | |||||||
\(284\) | −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 | ||||||||
\(288\) | 2.81431 | + | 1.03906i | 0.165835 | + | 0.0612271i | ||||
\(289\) | −5.26672 | + | 9.12222i | −0.309807 | + | 0.536601i | ||||
\(290\) | 2.63809 | + | 4.56930i | 0.154914 | + | 0.268319i | ||||
\(291\) | −25.9981 | − | 8.26316i | −1.52403 | − | 0.484395i | ||||
\(292\) | −2.04171 | + | 7.61977i | −0.119482 | + | 0.445914i | ||||
\(293\) | −0.542185 | + | 2.02346i | −0.0316748 | + | 0.118212i | −0.979953 | − | 0.199228i | \(-0.936157\pi\) |
0.948278 | + | 0.317440i | \(0.102823\pi\) | |||||||
\(294\) | 10.5985 | + | 3.36861i | 0.618119 | + | 0.196461i | ||||
\(295\) | 2.61794 | + | 4.53440i | 0.152422 | + | 0.264003i | ||||
\(296\) | −2.93893 | + | 5.09038i | −0.170822 | + | 0.295872i | ||||
\(297\) | 2.70030 | + | 21.6688i | 0.156687 | + | 1.25735i | ||||
\(298\) | − | 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 | ||||
\(303\) | −4.77357 | − | 3.05661i | −0.274234 | − | 0.175597i | ||||
\(304\) | −2.41216 | − | 2.41216i | −0.138347 | − | 0.138347i | ||||
\(305\) | 4.75941 | + | 1.27528i | 0.272523 | + | 0.0730223i | ||||
\(306\) | −12.1054 | + | 10.0628i | −0.692020 | + | 0.575253i | ||||
\(307\) | 1.91340 | − | 1.91340i | 0.109203 | − | 0.109203i | −0.650394 | − | 0.759597i | \(-0.725396\pi\) |
0.759597 | + | 0.650394i | \(0.225396\pi\) | |||||||
\(308\) | 2.76999 | − | 1.59926i | 0.157835 | − | 0.0911261i | ||||
\(309\) | −8.30300 | − | 0.381712i | −0.472341 | − | 0.0217149i | ||||
\(310\) | 0.595004 | + | 2.22059i | 0.0337940 | + | 0.126121i | ||||
\(311\) | 7.19354 | 0.407908 | 0.203954 | − | 0.978980i | \(-0.434621\pi\) | ||||
0.203954 | + | 0.978980i | \(0.434621\pi\) | |||||||
\(312\) | 4.91887 | + | 3.84769i | 0.278476 | + | 0.217833i | ||||
\(313\) | −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 | ||||
\(315\) | 1.25679 | − | 0.579004i | 0.0708119 | − | 0.0326232i | ||||
\(316\) | 11.7611 | − | 6.79025i | 0.661612 | − | 0.381982i | ||||
\(317\) | 3.93077 | − | 3.93077i | 0.220774 | − | 0.220774i | −0.588050 | − | 0.808824i | \(-0.700104\pi\) |
0.808824 | + | 0.588050i | \(0.200104\pi\) | |||||||
\(318\) | −3.34441 | − | 15.2521i | −0.187545 | − | 0.855295i | ||||
\(319\) | −35.3407 | − | 9.46952i | −1.97870 | − | 0.530191i | ||||
\(320\) | 0.428520 | + | 0.428520i | 0.0239550 | + | 0.0239550i | ||||
\(321\) | −2.91879 | + | 4.55834i | −0.162911 | + | 0.254422i | ||||
\(322\) | −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 | ||||||||
\(327\) | −1.65412 | + | 1.50871i | −0.0914730 | + | 0.0834321i | ||||
\(328\) | 4.43446 | − | 7.68071i | 0.244852 | − | 0.424096i | ||||
\(329\) | 3.08637 | + | 5.34576i | 0.170157 | + | 0.294721i | ||||
\(330\) | −1.33614 | + | 4.20385i | −0.0735521 | + | 0.231414i | ||||
\(331\) | −5.11244 | + | 19.0799i | −0.281005 | + | 1.04873i | 0.670704 | + | 0.741725i | \(0.265992\pi\) |
−0.951709 | + | 0.307000i | \(0.900675\pi\) | |||||||
\(332\) | 0.364900 | − | 1.36183i | 0.0200265 | − | 0.0747399i | ||||
\(333\) | −2.98188 | − | 17.3797i | −0.163406 | − | 0.952399i | ||||
\(334\) | 7.86434 | + | 13.6214i | 0.430318 | + | 0.745332i | ||||
\(335\) | −0.0317479 | + | 0.0549890i | −0.00173457 | + | 0.00300437i | ||||
\(336\) | 0.888378 | + | 0.973996i | 0.0484650 | + | 0.0531359i | ||||
\(337\) | 16.3889i | 0.892762i | 0.894843 | + | 0.446381i | \(0.147287\pi\) | ||||
−0.894843 | + | 0.446381i | \(0.852713\pi\) | |||||||
\(338\) | 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 | ||||
\(342\) | 10.1907 | + | 0.938979i | 0.551052 | + | 0.0507742i | ||||
\(343\) | 7.22288 | + | 7.22288i | 0.389999 | + | 0.389999i | ||||
\(344\) | 1.88389 | + | 0.504787i | 0.101572 | + | 0.0272163i | ||||
\(345\) | 1.91383 | − | 0.419655i | 0.103037 | − | 0.0225935i | ||||
\(346\) | −3.83515 | + | 3.83515i | −0.206179 | + | 0.206179i | ||||
\(347\) | 18.7272 | − | 10.8122i | 1.00533 | − | 0.580427i | 0.0955087 | − | 0.995429i | \(-0.469552\pi\) |
0.909821 | + | 0.415001i | \(0.136219\pi\) | |||||||
\(348\) | 0.692527 | − | 15.0638i | 0.0371233 | − | 0.807506i | ||||
\(349\) | −0.503975 | − | 1.88086i | −0.0269771 | − | 0.100680i | 0.951125 | − | 0.308807i | \(-0.0999298\pi\) |
−0.978102 | + | 0.208127i | \(0.933263\pi\) | |||||||
\(350\) | −3.52605 | −0.188475 | ||||||||
\(351\) | −18.7267 | + | 0.556450i | −0.999559 | + | 0.0297011i | ||||
\(352\) | −4.20241 | −0.223989 | ||||||||
\(353\) | 6.02369 | + | 22.4807i | 0.320609 | + | 1.19653i | 0.918653 | + | 0.395065i | \(0.129278\pi\) |
−0.598045 | + | 0.801463i | \(0.704055\pi\) | |||||||
\(354\) | 0.687237 | − | 14.9488i | 0.0365262 | − | 0.794518i | ||||
\(355\) | 5.47412 | − | 3.16049i | 0.290536 | − | 0.167741i | ||||
\(356\) | −4.62980 | + | 4.62980i | −0.245379 | + | 0.245379i | ||||
\(357\) | −6.75683 | + | 1.48161i | −0.357609 | + | 0.0784149i | ||||
\(358\) | 10.0271 | + | 2.68676i | 0.529950 | + | 0.142000i | ||||
\(359\) | −15.8859 | − | 15.8859i | −0.838428 | − | 0.838428i | 0.150224 | − | 0.988652i | \(-0.452000\pi\) |
−0.988652 | + | 0.150224i | \(0.952000\pi\) | |||||||
\(360\) | −1.81039 | − | 0.166810i | −0.0954157 | − | 0.00879164i | ||||
\(361\) | 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 | ||||||
\(366\) | −9.49011 | − | 10.4047i | −0.496056 | − | 0.543864i | ||||
\(367\) | −0.300881 | + | 0.521141i | −0.0157059 | + | 0.0272034i | −0.873772 | − | 0.486337i | \(-0.838333\pi\) |
0.858066 | + | 0.513540i | \(0.171666\pi\) | |||||||
\(368\) | 0.933306 | + | 1.61653i | 0.0486519 | + | 0.0842676i | ||||
\(369\) | 4.49926 | + | 26.2236i | 0.234222 | + | 1.36515i | ||||
\(370\) | 0.921938 | − | 3.44072i | 0.0479293 | − | 0.178874i | ||||
\(371\) | 1.77587 | − | 6.62765i | 0.0921988 | − | 0.344091i | ||||
\(372\) | 1.99024 | − | 6.26182i | 0.103189 | − | 0.324660i | ||||
\(373\) | −5.70783 | − | 9.88625i | −0.295540 | − | 0.511891i | 0.679570 | − | 0.733611i | \(-0.262166\pi\) |
−0.975110 | + | 0.221720i | \(0.928833\pi\) | |||||||
\(374\) | 11.0255 | − | 19.0967i | 0.570116 | − | 0.987469i | ||||
\(375\) | 7.47039 | − | 6.81371i | 0.385769 | − | 0.351858i | ||||
\(376\) | − | 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 | 0.863823 | − | 0.503795i | \(-0.168063\pi\) |
0.999990 | + | 0.00438723i | \(0.00139650\pi\) | |||||||
\(380\) | 1.79035 | + | 1.03366i | 0.0918428 | + | 0.0530255i | ||||
\(381\) | −2.08746 | + | 3.26003i | −0.106944 | + | 0.167016i | ||||
\(382\) | −4.05345 | − | 4.05345i | −0.207392 | − | 0.207392i | ||||
\(383\) | −12.2026 | − | 3.26967i | −0.623523 | − | 0.167073i | −0.0667943 | − | 0.997767i | \(-0.521277\pi\) |
−0.556729 | + | 0.830694i | \(0.687944\pi\) | |||||||
\(384\) | −0.370982 | − | 1.69185i | −0.0189316 | − | 0.0863371i | ||||
\(385\) | −1.37063 | + | 1.37063i | −0.0698536 | + | 0.0698536i | ||||
\(386\) | −9.82453 | + | 5.67220i | −0.500056 | + | 0.288707i | ||||
\(387\) | −5.31419 | + | 2.44826i | −0.270136 | + | 0.124452i | ||||
\(388\) | 4.07638 | + | 15.2132i | 0.206947 | + | 0.772336i | ||||
\(389\) | 18.8229 | 0.954361 | 0.477180 | − | 0.878805i | \(-0.341659\pi\) | ||||
0.477180 | + | 0.878805i | \(0.341659\pi\) | |||||||
\(390\) | −3.48286 | − | 1.48080i | −0.176361 | − | 0.0749831i | ||||
\(391\) | −9.79455 | −0.495332 | ||||||||
\(392\) | −1.66180 | − | 6.20192i | −0.0839336 | − | 0.313245i | ||||
\(393\) | −38.2130 | − | 1.75676i | −1.92759 | − | 0.0886167i | ||||
\(394\) | −4.05576 | + | 2.34159i | −0.204326 | + | 0.117968i | ||||
\(395\) | −5.81951 | + | 5.81951i | −0.292812 | + | 0.292812i | ||||
\(396\) | 9.69499 | − | 8.05912i | 0.487192 | − | 0.404986i | ||||
\(397\) | 11.5273 | + | 3.08874i | 0.578540 | + | 0.155019i | 0.536210 | − | 0.844084i | \(-0.319855\pi\) |
0.0423297 | + | 0.999104i | \(0.486522\pi\) | |||||||
\(398\) | −9.12358 | − | 9.12358i | −0.457324 | − | 0.457324i | ||||
\(399\) | 3.78722 | + | 2.42503i | 0.189598 | + | 0.121403i | ||||
\(400\) | 4.01207 | + | 2.31637i | 0.200604 | + | 0.115819i | ||||
\(401\) | −23.3959 | + | 6.26891i | −1.16833 | + | 0.313054i | −0.790290 | − | 0.612733i | \(-0.790070\pi\) |
−0.378045 | + | 0.925787i | \(0.623403\pi\) | |||||||
\(402\) | 0.161164 | − | 0.0834248i | 0.00803815 | − | 0.00416085i | ||||
\(403\) | 7.92345 | − | 11.1488i | 0.394695 | − | 0.555361i | ||||
\(404\) | 3.27260i | 0.162818i | ||||||||
\(405\) | 4.49647 | − | 3.08701i | 0.223431 | − | 0.153395i | ||||
\(406\) | 3.31324 | − | 5.73870i | 0.164433 | − | 0.284807i | ||||
\(407\) | 12.3506 | + | 21.3919i | 0.612197 | + | 1.06036i | ||||
\(408\) | 8.66150 | + | 2.75295i | 0.428808 | + | 0.136291i | ||||
\(409\) | 6.94441 | − | 25.9169i | 0.343379 | − | 1.28151i | −0.551116 | − | 0.834429i | \(-0.685798\pi\) |
0.894495 | − | 0.447078i | \(-0.147535\pi\) | |||||||
\(410\) | −1.39108 | + | 5.19159i | −0.0687007 | + | 0.256394i | ||||
\(411\) | 16.4806 | + | 5.23814i | 0.812927 | + | 0.258379i | ||||
\(412\) | 2.39940 | + | 4.15589i | 0.118210 | + | 0.204746i | ||||
\(413\) | 3.28793 | − | 5.69487i | 0.161789 | − | 0.280226i | ||||
\(414\) | −5.25323 | − | 1.93952i | −0.258182 | − | 0.0953221i | ||||
\(415\) | 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 | \(-0.248059\pi\) |
−0.252924 | + | 0.967486i | \(0.581392\pi\) | |||||||
\(420\) | −0.672799 | − | 0.430806i | −0.0328292 | − | 0.0210212i | ||||
\(421\) | −22.8984 | − | 22.8984i | −1.11600 | − | 1.11600i | −0.992323 | − | 0.123676i | \(-0.960532\pi\) |
−0.123676 | − | 0.992323i | \(-0.539468\pi\) | |||||||
\(422\) | −5.09968 | − | 1.36646i | −0.248249 | − | 0.0665180i | ||||
\(423\) | 15.5531 | + | 18.7102i | 0.756219 | + | 0.909720i | ||||
\(424\) | −6.37457 | + | 6.37457i | −0.309577 | + | 0.309577i | ||||
\(425\) | −21.0523 | + | 12.1545i | −1.02119 | + | 0.589581i | ||||
\(426\) | −18.0468 | − | 0.829662i | −0.874370 | − | 0.0401973i | ||||
\(427\) | −1.60166 | − | 5.97746i | −0.0775096 | − | 0.289270i | ||||
\(428\) | 3.12505 | 0.151055 | ||||||||
\(429\) | 24.3388 | − | 9.81692i | 1.17509 | − | 0.473965i | ||||
\(430\) | −1.18195 | −0.0569985 | ||||||||
\(431\) | −8.68719 | − | 32.4210i | −0.418447 | − | 1.56167i | −0.777829 | − | 0.628476i | \(-0.783679\pi\) |
0.359381 | − | 0.933191i | \(-0.382988\pi\) | |||||||
\(432\) | 4.10039 | + | 3.19168i | 0.197280 | + | 0.153560i | ||||
\(433\) | −20.5735 | + | 11.8781i | −0.988698 | + | 0.570825i | −0.904885 | − | 0.425657i | \(-0.860043\pi\) |
−0.0838130 | + | 0.996482i | \(0.526710\pi\) | |||||||
\(434\) | 2.04161 | − | 2.04161i | 0.0980004 | − | 0.0980004i | ||||
\(435\) | 1.95736 | + | 8.92652i | 0.0938485 | + | 0.427994i | ||||
\(436\) | 1.24854 | + | 0.334546i | 0.0597943 | + | 0.0160218i | ||||
\(437\) | 4.50256 | + | 4.50256i | 0.215387 | + | 0.215387i | ||||
\(438\) | −7.36791 | + | 11.5066i | −0.352052 | + | 0.549808i | ||||
\(439\) | 12.8746 | + | 7.43317i | 0.614473 | + | 0.354766i | 0.774714 | − | 0.632312i | \(-0.217894\pi\) |
−0.160241 | + | 0.987078i | \(0.551227\pi\) | |||||||
\(440\) | 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 | \(0.592199\pi\) | |||||||
\(444\) | −7.52190 | + | 6.86069i | −0.356973 | + | 0.325594i | ||||
\(445\) | 1.98396 | − | 3.43632i | 0.0940487 | − | 0.162897i | ||||
\(446\) | 1.77511 | + | 3.07458i | 0.0840540 | + | 0.145586i | ||||
\(447\) | 4.57860 | − | 14.4055i | 0.216560 | − | 0.681357i | ||||
\(448\) | 0.196991 | − | 0.735180i | 0.00930694 | − | 0.0347340i | ||||
\(449\) | 1.18156 | − | 4.40965i | 0.0557613 | − | 0.208104i | −0.932424 | − | 0.361365i | \(-0.882311\pi\) |
0.988186 | + | 0.153261i | \(0.0489775\pi\) | |||||||
\(450\) | −13.6981 | + | 2.35022i | −0.645733 | + | 0.110790i | ||||
\(451\) | −18.6354 | − | 32.2775i | −0.877508 | − | 1.51989i | ||||
\(452\) | −3.48564 | + | 6.03730i | −0.163951 | + | 0.283971i | ||||
\(453\) | 28.6675 | + | 31.4304i | 1.34692 | + | 1.47673i | ||||
\(454\) | 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 | 0.389914 | − | 0.920851i | \(-0.372505\pi\) |
0.798101 | + | 0.602524i | \(0.205838\pi\) | |||||||
\(458\) | −13.9485 | − | 8.05319i | −0.651773 | − | 0.376301i | ||||
\(459\) | −25.2616 | + | 10.2594i | −1.17911 | + | 0.478869i | ||||
\(460\) | −0.799880 | − | 0.799880i | −0.0372946 | − | 0.0372946i | ||||
\(461\) | −14.5525 | − | 3.89933i | −0.677778 | − | 0.181610i | −0.0965219 | − | 0.995331i | \(-0.530772\pi\) |
−0.581256 | + | 0.813721i | \(0.697438\pi\) | |||||||
\(462\) | 5.41142 | − | 1.18659i | 0.251762 | − | 0.0552052i | ||||
\(463\) | −12.8578 | + | 12.8578i | −0.597552 | + | 0.597552i | −0.939661 | − | 0.342108i | \(-0.888859\pi\) |
0.342108 | + | 0.939661i | \(0.388859\pi\) | |||||||
\(464\) | −7.53987 | + | 4.35315i | −0.350030 | + | 0.202090i | ||||
\(465\) | −0.182863 | + | 3.97764i | −0.00848009 | + | 0.184459i | ||||
\(466\) | 5.79254 | + | 21.6181i | 0.268334 | + | 1.00144i | ||||
\(467\) | 12.7104 | 0.588168 | 0.294084 | − | 0.955780i | \(-0.404985\pi\) | ||||
0.294084 | + | 0.955780i | \(0.404985\pi\) | |||||||
\(468\) | 6.10080 | + | 8.93198i | 0.282009 | + | 0.412881i | ||||
\(469\) | 0.0797460 | 0.00368233 | ||||||||
\(470\) | 1.27207 | + | 4.74743i | 0.0586762 | + | 0.218982i | ||||
\(471\) | 0.880650 | − | 19.1559i | 0.0405782 | − | 0.882656i | ||||
\(472\) | −7.48228 | + | 4.31989i | −0.344400 | + | 0.198839i | ||||
\(473\) | 5.79555 | − | 5.79555i | 0.266480 | − | 0.266480i | ||||
\(474\) | 22.9762 | − | 5.03812i | 1.05533 | − | 0.231409i | ||||
\(475\) | 15.2652 | + | 4.09030i | 0.700415 | + | 0.187676i | ||||
\(476\) | 2.82400 | + | 2.82400i | 0.129438 | + | 0.129438i | ||||
\(477\) | 2.48143 | − | 26.9309i | 0.113617 | − | 1.23308i | ||||
\(478\) | −7.44934 | − | 4.30088i | −0.340725 | − | 0.196718i | ||||
\(479\) | 34.6068 | − | 9.27288i | 1.58123 | − | 0.423689i | 0.641922 | − | 0.766770i | \(-0.278137\pi\) |
0.939306 | + | 0.343082i | \(0.111471\pi\) | |||||||
\(480\) | 0.482527 | + | 0.932171i | 0.0220242 | + | 0.0425476i | ||||
\(481\) | −19.2696 | + | 8.82174i | −0.878619 | + | 0.402237i | ||||
\(482\) | − | 6.14555i | − | 0.279922i | ||||||
\(483\) | −1.65826 | − | 1.81807i | −0.0754533 | − | 0.0827252i | ||||
\(484\) | −3.33013 | + | 5.76795i | −0.151369 | + | 0.262180i | ||||
\(485\) | −4.77237 | − | 8.26598i | −0.216702 | − | 0.375339i | ||||
\(486\) | −15.5804 | + | 0.500258i | −0.706743 | + | 0.0226921i | ||||
\(487\) | −1.74173 | + | 6.50021i | −0.0789252 | + | 0.294553i | −0.994095 | − | 0.108517i | \(-0.965390\pi\) |
0.915169 | + | 0.403069i | \(0.132057\pi\) | |||||||
\(488\) | −2.10436 | + | 7.85357i | −0.0952598 | + | 0.355514i | ||||
\(489\) | −2.75726 | + | 8.67507i | −0.124688 | + | 0.392300i | ||||
\(490\) | 1.94553 | + | 3.36976i | 0.0878902 | + | 0.152230i | ||||
\(491\) | −14.9069 | + | 25.8195i | −0.672740 | + | 1.16522i | 0.304385 | + | 0.952549i | \(0.401549\pi\) |
−0.977124 | + | 0.212670i | \(0.931784\pi\) | |||||||
\(492\) | 11.3495 | − | 10.3519i | 0.511677 | − | 0.466698i | ||||
\(493\) | − | 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 | ||||
\(498\) | 1.31681 | − | 2.05649i | 0.0590078 | − | 0.0921537i | ||||
\(499\) | 25.5487 | + | 25.5487i | 1.14372 | + | 1.14372i | 0.987764 | + | 0.155954i | \(0.0498453\pi\) |
0.155954 | + | 0.987764i | \(0.450155\pi\) | |||||||
\(500\) | −5.63871 | − | 1.51089i | −0.252171 | − | 0.0675689i | ||||
\(501\) | 5.83506 | + | 26.6106i | 0.260691 | + | 1.18888i | ||||
\(502\) | −8.87855 | + | 8.87855i | −0.396269 | + | 0.396269i | ||||
\(503\) | −36.8913 | + | 21.2992i | −1.64490 | + | 0.949684i | −0.665845 | + | 0.746090i | \(0.731929\pi\) |
−0.979055 | + | 0.203594i | \(0.934738\pi\) | |||||||
\(504\) | 0.955423 | + | 2.07384i | 0.0425579 | + | 0.0923763i | ||||
\(505\) | −0.513305 | − | 1.91568i | −0.0228418 | − | 0.0852466i | ||||
\(506\) | 7.84427 | 0.348720 | ||||||||
\(507\) | 6.41955 | + | 21.5822i | 0.285102 | + | 0.958497i | ||||
\(508\) | 2.23497 | 0.0991607 | ||||||||
\(509\) | 4.37237 | + | 16.3179i | 0.193802 | + | 0.723279i | 0.992574 | + | 0.121645i | \(0.0388168\pi\) |
−0.798772 | + | 0.601634i | \(0.794517\pi\) | |||||||
\(510\) | −5.50197 | − | 0.252941i | −0.243631 | − | 0.0112004i | ||||
\(511\) | −5.19971 | + | 3.00205i | −0.230021 | + | 0.132803i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 16.3290 | + | 6.89650i | 0.720944 | + | 0.304488i | ||||
\(514\) | −4.57638 | − | 1.22624i | −0.201855 | − | 0.0540870i | ||||
\(515\) | −2.05638 | − | 2.05638i | −0.0906150 | − | 0.0906150i | ||||
\(516\) | 2.84486 | + | 1.82162i | 0.125238 | + | 0.0801923i | ||||
\(517\) | −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 | \(0.864618\pi\) | |||||||
\(522\) | 9.04634 | − | 24.5022i | 0.395948 | − | 1.07243i | ||||
\(523\) | 5.97667 | − | 10.3519i | 0.261342 | − | 0.452657i | −0.705257 | − | 0.708952i | \(-0.749168\pi\) |
0.966599 | + | 0.256295i | \(0.0825017\pi\) | |||||||
\(524\) | 11.0428 | + | 19.1267i | 0.482406 | + | 0.835552i | ||||
\(525\) | −5.82037 | − | 1.84993i | −0.254022 | − | 0.0807376i | ||||
\(526\) | 1.46723 | − | 5.47578i | 0.0639743 | − | 0.238755i | ||||
\(527\) | 5.15186 | − | 19.2270i | 0.224419 | − | 0.837542i | ||||
\(528\) | −6.93684 | − | 2.20478i | −0.301887 | − | 0.0959509i | ||||
\(529\) | 9.75788 | + | 16.9011i | 0.424256 | + | 0.734832i | ||||
\(530\) | 2.73163 | − | 4.73132i | 0.118654 | − | 0.205516i | ||||
\(531\) | 8.97724 | − | 24.3151i | 0.389579 | − | 1.05518i | ||||
\(532\) | − | 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 | ||||
\(537\) | 15.1420 | + | 9.69568i | 0.653424 | + | 0.418400i | ||||
\(538\) | −5.16606 | − | 5.16606i | −0.222725 | − | 0.222725i | ||||
\(539\) | −26.0630 | − | 6.98357i | −1.12261 | − | 0.300804i | ||||
\(540\) | −2.90085 | − | 1.22516i | −0.124833 | − | 0.0527227i | ||||
\(541\) | 13.7056 | − | 13.7056i | 0.589250 | − | 0.589250i | −0.348179 | − | 0.937428i | \(-0.613200\pi\) |
0.937428 | + | 0.348179i | \(0.113200\pi\) | |||||||
\(542\) | −21.2418 | + | 12.2640i | −0.912414 | + | 0.526782i | ||||
\(543\) | 19.2352 | + | 0.884298i | 0.825463 | + | 0.0379488i | ||||
\(544\) | −1.35808 | − | 5.06844i | −0.0582273 | − | 0.217307i | ||||
\(545\) | −0.783330 | −0.0335542 | ||||||||
\(546\) | 0.576496 | + | 4.71807i | 0.0246718 | + | 0.201915i | ||||
\(547\) | −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 | ||||
\(549\) | −10.2063 | − | 22.1538i | −0.435595 | − | 0.945503i | ||||
\(550\) | 16.8604 | − | 9.73434i | 0.718929 | − | 0.415074i | ||||
\(551\) | −21.0009 | + | 21.0009i | −0.894670 | + | 0.894670i | ||||
\(552\) | 0.692479 | + | 3.15804i | 0.0294739 | + | 0.134415i | ||||
\(553\) | 9.98412 | + | 2.67524i | 0.424568 | + | 0.113763i | ||||
\(554\) | 6.18454 | + | 6.18454i | 0.262756 | + | 0.262756i | ||||
\(555\) | 3.32699 | − | 5.19583i | 0.141223 | − | 0.220551i | ||||
\(556\) | −3.26061 | − | 1.88252i | −0.138281 | − | 0.0798365i | ||||
\(557\) | −1.16825 | + | 0.313031i | −0.0495002 | + | 0.0132635i | −0.283484 | − | 0.958977i | \(-0.591490\pi\) |
0.233984 | + | 0.972240i | \(0.424824\pi\) | |||||||
\(558\) | 6.57050 | − | 9.29209i | 0.278152 | − | 0.393366i | ||||
\(559\) | 4.48228 | + | 5.41841i | 0.189580 | + | 0.229175i | ||||
\(560\) | 0.461249i | 0.0194913i | ||||||||
\(561\) | 28.2186 | − | 25.7381i | 1.19139 | − | 1.08666i | ||||
\(562\) | 6.71448 | − | 11.6298i | 0.283233 | − | 0.490575i | ||||
\(563\) | −12.2059 | − | 21.1412i | −0.514416 | − | 0.890994i | −0.999860 | − | 0.0167265i | \(-0.994676\pi\) |
0.485444 | − | 0.874267i | \(-0.338658\pi\) | |||||||
\(564\) | 4.25497 | − | 13.3873i | 0.179167 | − | 0.563705i | ||||
\(565\) | 1.09344 | − | 4.08077i | 0.0460013 | − | 0.171679i | ||||
\(566\) | 8.13627 | − | 30.3650i | 0.341993 | − | 1.27633i | ||||
\(567\) | −6.18125 | − | 2.95212i | −0.259588 | − | 0.123977i | ||||
\(568\) | 5.21517 | + | 9.03293i | 0.218823 | + | 0.379013i | ||||
\(569\) | 2.98833 | − | 5.17593i | 0.125277 | − | 0.216986i | −0.796564 | − | 0.604554i | \(-0.793351\pi\) |
0.921841 | + | 0.387568i | \(0.126685\pi\) | |||||||
\(570\) | 2.41298 | + | 2.64554i | 0.101069 | + | 0.110809i | ||||
\(571\) | 35.8068i | 1.49847i | 0.662307 | + | 0.749233i | \(0.269578\pi\) | ||||
−0.662307 | + | 0.749233i | \(0.730422\pi\) | |||||||
\(572\) | −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 | ||||
\(576\) | 0.275255 | − | 2.98735i | 0.0114690 | − | 0.124473i | ||||
\(577\) | 13.8142 | + | 13.8142i | 0.575094 | + | 0.575094i | 0.933548 | − | 0.358453i | \(-0.116696\pi\) |
−0.358453 | + | 0.933548i | \(0.616696\pi\) | |||||||
\(578\) | 10.1745 | + | 2.72625i | 0.423204 | + | 0.113397i | ||||
\(579\) | −19.1931 | + | 4.20856i | −0.797637 | + | 0.174902i | ||||
\(580\) | 3.73082 | − | 3.73082i | 0.154914 | − | 0.154914i | ||||
\(581\) | 0.929305 | − | 0.536534i | 0.0385541 | − | 0.0222592i | ||||
\(582\) | −1.25280 | + | 27.2509i | −0.0519302 | + | 1.12958i | ||||
\(583\) | 9.80530 | + | 36.5939i | 0.406094 | + | 1.51556i | ||||
\(584\) | 7.88857 | 0.326431 | ||||||||
\(585\) | −4.97219 | − | 4.27160i | −0.205575 | − | 0.176609i | ||||
\(586\) | 2.09484 | 0.0865371 | ||||||||
\(587\) | −3.99377 | − | 14.9050i | −0.164841 | − | 0.615194i | −0.998060 | − | 0.0622518i | \(-0.980172\pi\) |
0.833220 | − | 0.552942i | \(-0.186495\pi\) | |||||||
\(588\) | 0.510724 | − | 11.1093i | 0.0210619 | − | 0.458138i | ||||
\(589\) | −11.2070 | + | 6.47036i | −0.461776 | + | 0.266607i | ||||
\(590\) | 3.70232 | − | 3.70232i | 0.152422 | − | 0.152422i | ||||
\(591\) | −7.92327 | + | 1.73738i | −0.325920 | + | 0.0714661i | ||||
\(592\) | 5.67758 | + | 1.52130i | 0.233347 | + | 0.0625252i | ||||
\(593\) | −19.1066 | − | 19.1066i | −0.784613 | − | 0.784613i | 0.195992 | − | 0.980605i | \(-0.437207\pi\) |
−0.980605 | + | 0.195992i | \(0.937207\pi\) | |||||||
\(594\) | 20.2315 | − | 8.21658i | 0.830110 | − | 0.337130i | ||||
\(595\) | −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 | \(-0.103643\pi\) | |||||||
\(600\) | 5.40737 | + | 5.92851i | 0.220755 | + | 0.242030i | ||||
\(601\) | 6.65857 | − | 11.5330i | 0.271609 | − | 0.470440i | −0.697665 | − | 0.716424i | \(-0.745778\pi\) |
0.969274 | + | 0.245984i | \(0.0791110\pi\) | |||||||
\(602\) | 0.742218 | + | 1.28556i | 0.0302505 | + | 0.0523955i | ||||
\(603\) | 0.309799 | − | 0.0531532i | 0.0126160 | − | 0.00216456i | ||||
\(604\) | 6.35679 | − | 23.7239i | 0.258654 | − | 0.965311i | ||||
\(605\) | 1.04465 | − | 3.89870i | 0.0424713 | − | 0.158505i | ||||
\(606\) | −1.71696 | + | 5.40202i | −0.0697469 | + | 0.219442i | ||||
\(607\) | −6.14650 | − | 10.6460i | −0.249479 | − | 0.432110i | 0.713903 | − | 0.700245i | \(-0.246926\pi\) |
−0.963381 | + | 0.268135i | \(0.913593\pi\) | |||||||
\(608\) | −1.70565 | + | 2.95428i | −0.0691733 | + | 0.119812i | ||||
\(609\) | 8.47990 | − | 7.73448i | 0.343623 | − | 0.313417i | ||||
\(610\) | − | 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 | −0.462403 | − | 0.886670i | \(-0.653013\pi\) |
0.0428820 | + | 0.999080i | \(0.486346\pi\) | |||||||
\(614\) | −2.34342 | − | 1.35298i | −0.0945728 | − | 0.0546017i | ||||
\(615\) | −5.01999 | + | 7.83983i | −0.202425 | + | 0.316132i | ||||
\(616\) | −2.26169 | − | 2.26169i | −0.0911261 | − | 0.0911261i | ||||
\(617\) | 12.1675 | + | 3.26027i | 0.489845 | + | 0.131254i | 0.495283 | − | 0.868732i | \(-0.335064\pi\) |
−0.00543815 | + | 0.999985i | \(0.501731\pi\) | |||||||
\(618\) | 1.78027 | + | 8.11888i | 0.0716129 | + | 0.326589i | ||||
\(619\) | −5.08096 | + | 5.08096i | −0.204221 | + | 0.204221i | −0.801806 | − | 0.597585i | \(-0.796127\pi\) |
0.597585 | + | 0.801806i | \(0.296127\pi\) | |||||||
\(620\) | 1.99092 | − | 1.14946i | 0.0799574 | − | 0.0461634i | ||||
\(621\) | −7.65384 | − | 5.95762i | −0.307138 | − | 0.239071i | ||||
\(622\) | −1.86183 | − | 6.94843i | −0.0746524 | − | 0.278607i | ||||
\(623\) | −4.98342 | −0.199656 | ||||||||
\(624\) | 2.44349 | − | 5.74712i | 0.0978178 | − | 0.230069i | ||||
\(625\) | −19.6260 | −0.785040 | ||||||||
\(626\) | 3.79222 | + | 14.1527i | 0.151567 | + | 0.565657i | ||||
\(627\) | −24.8040 | − | 1.14031i | −0.990575 | − | 0.0455395i | ||||
\(628\) | −9.58806 | + | 5.53567i | −0.382605 | + | 0.220897i | ||||
\(629\) | −21.8090 | + | 21.8090i | −0.869580 | + | 0.869580i | ||||
\(630\) | −0.884555 | − | 1.06411i | −0.0352415 | − | 0.0423950i | ||||
\(631\) | −23.9643 | − | 6.42121i | −0.954002 | − | 0.255624i | −0.251943 | − | 0.967742i | \(-0.581069\pi\) |
−0.702060 | + | 0.712118i | \(0.747736\pi\) | |||||||
\(632\) | −9.60287 | − | 9.60287i | −0.381982 | − | 0.381982i | ||||
\(633\) | −7.70103 | − | 4.93112i | −0.306089 | − | 0.195994i | ||||
\(634\) | −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 | ||||||||
\(639\) | −29.3542 | − | 10.8377i | −1.16123 | − | 0.428734i | ||||
\(640\) | 0.303009 | − | 0.524827i | 0.0119775 | − | 0.0207456i | ||||
\(641\) | 5.92602 | + | 10.2642i | 0.234064 | + | 0.405410i | 0.959000 | − | 0.283406i | \(-0.0914642\pi\) |
−0.724936 | + | 0.688816i | \(0.758131\pi\) | |||||||
\(642\) | 5.15846 | + | 1.63955i | 0.203588 | + | 0.0647079i | ||||
\(643\) | −7.18682 | + | 26.8216i | −0.283420 | + | 1.05774i | 0.666566 | + | 0.745446i | \(0.267764\pi\) |
−0.949986 | + | 0.312293i | \(0.898903\pi\) | |||||||
\(644\) | −0.367706 | + | 1.37230i | −0.0144896 | + | 0.0540760i | ||||
\(645\) | −1.95101 | − | 0.620105i | −0.0768211 | − | 0.0244166i | ||||
\(646\) | −8.94995 | − | 15.5018i | −0.352131 | − | 0.609909i | ||||
\(647\) | 9.84613 | − | 17.0540i | 0.387091 | − | 0.670462i | −0.604966 | − | 0.796251i | \(-0.706813\pi\) |
0.992057 | + | 0.125790i | \(0.0401465\pi\) | |||||||
\(648\) | 5.09393 | + | 7.41970i | 0.200108 | + | 0.291473i | ||||
\(649\) | 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 | 0.978057 | + | 0.208339i | \(0.0668056\pi\) |
0.669455 | + | 0.742853i | \(0.266528\pi\) | |||||||
\(654\) | 1.88542 | + | 1.20727i | 0.0737259 | + | 0.0472081i | ||||
\(655\) | −9.46410 | − | 9.46410i | −0.369793 | − | 0.369793i | ||||
\(656\) | −8.56672 | − | 2.29545i | −0.334474 | − | 0.0896221i | ||||
\(657\) | −18.1990 | + | 15.1282i | −0.710010 | + | 0.590208i | ||||
\(658\) | 4.36479 | − | 4.36479i | 0.170157 | − | 0.170157i | ||||
\(659\) | 3.21116 | − | 1.85397i | 0.125089 | − | 0.0722202i | −0.436150 | − | 0.899874i | \(-0.643658\pi\) |
0.561239 | + | 0.827654i | \(0.310325\pi\) | |||||||
\(660\) | 4.40643 | + | 0.202576i | 0.171520 | + | 0.00788525i | ||||
\(661\) | 1.66416 | + | 6.21075i | 0.0647285 | + | 0.241570i | 0.990708 | − | 0.136003i | \(-0.0434255\pi\) |
−0.925980 | + | 0.377573i | \(0.876759\pi\) | |||||||
\(662\) | 19.7529 | 0.767720 | ||||||||
\(663\) | 19.7055 | + | 26.1820i | 0.765298 | + | 1.01682i | ||||
\(664\) | −1.40987 | −0.0547134 | ||||||||
\(665\) | 0.407242 | + | 1.51985i | 0.0157922 | + | 0.0589371i | ||||
\(666\) | −16.0157 | + | 7.37846i | −0.620595 | + | 0.285909i | ||||
\(667\) | 14.0740 | − | 8.12564i | 0.544948 | − | 0.314626i | ||||
\(668\) | 11.1219 | − | 11.1219i | 0.430318 | − | 0.430318i | ||||
\(669\) | 1.31707 | + | 6.00646i | 0.0509208 | + | 0.232223i | ||||
\(670\) | 0.0613322 | + | 0.0164339i | 0.00236947 | + | 0.000634898i | ||||
\(671\) | 24.1605 | + | 24.1605i | 0.932708 | + | 0.932708i | ||||
\(672\) | 0.710879 | − | 1.11020i | 0.0274228 | − | 0.0428267i | ||||
\(673\) | 5.14268 | + | 2.96913i | 0.198236 | + | 0.114451i | 0.595832 | − | 0.803109i | \(-0.296822\pi\) |
−0.397597 | + | 0.917560i | \(0.630156\pi\) | |||||||
\(674\) | 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 | \(0.843757\pi\) | |||||||
\(678\) | −8.92113 | + | 8.13692i | −0.342614 | + | 0.312497i | ||||
\(679\) | −5.99374 | + | 10.3815i | −0.230019 | + | 0.398404i | ||||
\(680\) | 1.58996 | + | 2.75389i | 0.0609721 | + | 0.105607i | ||||
\(681\) | −2.63726 | + | 8.29751i | −0.101060 | + | 0.317961i | ||||
\(682\) | −4.12603 | + | 15.3986i | −0.157994 | + | 0.589641i | ||||
\(683\) | 6.94368 | − | 25.9142i | 0.265693 | − | 0.991578i | −0.696133 | − | 0.717913i | \(-0.745097\pi\) |
0.961825 | − | 0.273665i | \(-0.0882359\pi\) | |||||||
\(684\) | −1.73057 | − | 10.0865i | −0.0661702 | − | 0.385668i | ||||
\(685\) | 3.02528 | + | 5.23994i | 0.115590 | + | 0.200208i | ||||
\(686\) | 5.10734 | − | 8.84618i | 0.194999 | − | 0.337749i | ||||
\(687\) | −18.7995 | − | 20.6113i | −0.717245 | − | 0.786371i | ||||
\(688\) | − | 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 | −0.447176 | − | 0.894446i | \(-0.647570\pi\) |
0.0599568 | + | 0.998201i | \(0.480904\pi\) | |||||||
\(692\) | 4.69708 | + | 2.71186i | 0.178556 | + | 0.103090i | ||||
\(693\) | 9.55507 | + | 0.880407i | 0.362967 | + | 0.0334439i | ||||
\(694\) | −15.2907 | − | 15.2907i | −0.580427 | − | 0.580427i | ||||
\(695\) | 2.20393 | + | 0.590542i | 0.0835999 | + | 0.0224005i | ||||
\(696\) | −14.7298 | + | 3.22988i | −0.558331 | + | 0.122428i | ||||
\(697\) | 32.9068 | − | 32.9068i | 1.24644 | − | 1.24644i | ||||
\(698\) | −1.68633 | + | 0.973604i | −0.0638286 | + | 0.0368515i | ||||
\(699\) | −1.78023 | + | 38.7236i | −0.0673345 | + | 1.46466i | ||||
\(700\) | 0.912608 | + | 3.40590i | 0.0344933 | + | 0.128731i | ||||
\(701\) | 48.3500 | 1.82616 | 0.913078 | − | 0.407785i | \(-0.133699\pi\) | ||||
0.913078 | + | 0.407785i | \(0.133699\pi\) | |||||||
\(702\) | 5.38432 | + | 17.9446i | 0.203218 | + | 0.677276i | ||||
\(703\) | 20.0512 | 0.756245 | ||||||||
\(704\) | 1.08766 | + | 4.05922i | 0.0409929 | + | 0.152987i | ||||
\(705\) | −0.390947 | + | 8.50387i | −0.0147239 | + | 0.320274i | ||||
\(706\) | 20.1557 | − | 11.6369i | 0.758568 | − | 0.437959i | ||||
\(707\) | −1.76128 | + | 1.76128i | −0.0662397 | + | 0.0662397i | ||||
\(708\) | −14.6173 | + | 3.20521i | −0.549351 | + | 0.120459i | ||||
\(709\) | 28.4274 | + | 7.61709i | 1.06761 | + | 0.286066i | 0.749512 | − | 0.661991i | \(-0.230288\pi\) |
0.318100 | + | 0.948057i | \(0.396955\pi\) | |||||||
\(710\) | −4.46960 | − | 4.46960i | −0.167741 | − | 0.167741i | ||||
\(711\) | 40.5697 | + | 3.73810i | 1.52148 | + | 0.140190i | ||||
\(712\) | 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 | ||||||
\(717\) | −10.0400 | − | 11.0077i | −0.374952 | − | 0.411089i | ||||
\(718\) | −11.2331 | + | 19.4562i | −0.419214 | + | 0.726100i | ||||
\(719\) | 21.4236 | + | 37.1068i | 0.798966 | + | 1.38385i | 0.920290 | + | 0.391237i | \(0.127953\pi\) |
−0.121324 | + | 0.992613i | \(0.538714\pi\) | |||||||
\(720\) | 0.307437 | + | 1.79187i | 0.0114575 | + | 0.0667791i | ||||
\(721\) | −0.945320 | + | 3.52798i | −0.0352056 | + | 0.131389i | ||||
\(722\) | 1.90569 | − | 7.11211i | 0.0709223 | − | 0.264685i | ||||
\(723\) | 3.22425 | − | 10.1443i | 0.119911 | − | 0.377272i | ||||
\(724\) | −5.55860 | − | 9.62777i | −0.206584 | − | 0.357813i | ||||
\(725\) | 20.1670 | − | 34.9303i | 0.748984 | − | 1.29728i | ||||
\(726\) | −8.52312 | + | 7.77390i | −0.316322 | + | 0.288516i | ||||
\(727\) | − | 1.92620i | − | 0.0714389i | −0.999362 | − | 0.0357194i | \(-0.988628\pi\) | ||
0.999362 | − | 0.0357194i | \(-0.0113723\pi\) | |||||||
\(728\) | 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 | ||||
\(732\) | −7.59398 | + | 11.8597i | −0.280682 | + | 0.438347i | ||||
\(733\) | −22.6065 | − | 22.6065i | −0.834990 | − | 0.834990i | 0.153204 | − | 0.988195i | \(-0.451041\pi\) |
−0.988195 | + | 0.153204i | \(0.951041\pi\) | |||||||
\(734\) | 0.581258 | + | 0.155748i | 0.0214546 | + | 0.00574875i | ||||
\(735\) | 1.44351 | + | 6.58312i | 0.0532448 | + | 0.242822i | ||||
\(736\) | 1.31989 | − | 1.31989i | 0.0486519 | − | 0.0486519i | ||||
\(737\) | −0.381319 | + | 0.220155i | −0.0140461 | + | 0.00810950i | ||||
\(738\) | 24.1656 | − | 11.1331i | 0.889546 | − | 0.409816i | ||||
\(739\) | −0.376096 | − | 1.40361i | −0.0138349 | − | 0.0516325i | 0.958663 | − | 0.284543i | \(-0.0918418\pi\) |
−0.972498 | + | 0.232910i | \(0.925175\pi\) | |||||||
\(740\) | −3.56209 | −0.130945 | ||||||||
\(741\) | 2.97726 | − | 21.0945i | 0.109372 | − | 0.774927i | ||||
\(742\) | −6.86145 | −0.251892 | ||||||||
\(743\) | 9.58365 | + | 35.7667i | 0.351590 | + | 1.31215i | 0.884722 | + | 0.466119i | \(0.154348\pi\) |
−0.533132 | + | 0.846032i | \(0.678985\pi\) | |||||||
\(744\) | −6.56357 | − | 0.301746i | −0.240632 | − | 0.0110625i | ||||
\(745\) | 4.58017 | − | 2.64436i | 0.167804 | − | 0.0968820i | ||||
\(746\) | −8.07209 | + | 8.07209i | −0.295540 | + | 0.295540i | ||||
\(747\) | 3.25257 | − | 2.70375i | 0.119005 | − | 0.0989251i | ||||
\(748\) | −21.2996 | − | 5.70722i | −0.778792 | − | 0.208677i | ||||
\(749\) | 1.68187 | + | 1.68187i | 0.0614542 | + | 0.0614542i | ||||
\(750\) | −8.51502 | − | 5.45232i | −0.310924 | − | 0.199091i | ||||
\(751\) | −13.2882 | − | 7.67193i | −0.484892 | − | 0.279953i | 0.237561 | − | 0.971373i | \(-0.423652\pi\) |
−0.722453 | + | 0.691420i | \(0.756985\pi\) | |||||||
\(752\) | −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 | ||||||||
\(756\) | 0.489061 | + | 3.92451i | 0.0177870 | + | 0.142733i | ||||
\(757\) | −11.2354 | + | 19.4603i | −0.408357 | + | 0.707296i | −0.994706 | − | 0.102763i | \(-0.967232\pi\) |
0.586349 | + | 0.810059i | \(0.300565\pi\) | |||||||
\(758\) | −18.7823 | − | 32.5319i | −0.682203 | − | 1.18161i | ||||
\(759\) | 12.9484 | + | 4.11548i | 0.469997 | + | 0.149382i | ||||
\(760\) | 0.535060 | − | 1.99687i | 0.0194087 | − | 0.0724341i | ||||
\(761\) | −0.210189 | + | 0.784436i | −0.00761934 | + | 0.0284358i | −0.969631 | − | 0.244573i | \(-0.921352\pi\) |
0.962012 | + | 0.273009i | \(0.0880188\pi\) | |||||||
\(762\) | 3.68922 | + | 1.17257i | 0.133646 | + | 0.0424777i | ||||
\(763\) | 0.491903 | + | 0.852000i | 0.0178081 | + | 0.0308445i | ||||
\(764\) | −2.86622 | + | 4.96444i | −0.103696 | + | 0.179607i | ||||
\(765\) | −8.94929 | − | 3.30412i | −0.323562 | − | 0.119461i | ||||
\(766\) | 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 | −0.469977 | − | 0.882678i | \(-0.655738\pi\) |
0.0343269 | + | 0.999411i | \(0.489071\pi\) | |||||||
\(770\) | 1.67867 | + | 0.969179i | 0.0604950 | + | 0.0349268i | ||||
\(771\) | −6.91079 | − | 4.42511i | −0.248886 | − | 0.159366i | ||||
\(772\) | 8.02170 | + | 8.02170i | 0.288707 | + | 0.288707i | ||||
\(773\) | −14.6654 | − | 3.92957i | −0.527476 | − | 0.141337i | −0.0147536 | − | 0.999891i | \(-0.504696\pi\) |
−0.512723 | + | 0.858554i | \(0.671363\pi\) | |||||||
\(774\) | 3.74025 | + | 4.49946i | 0.134441 | + | 0.161730i | ||||
\(775\) | 12.4268 | − | 12.4268i | 0.446386 | − | 0.446386i | ||||
\(776\) | 13.6398 | − | 7.87496i | 0.489641 | − | 0.282695i | ||||
\(777\) | −7.74055 | − | 0.355855i | −0.277691 | − | 0.0127662i | ||||
\(778\) | −4.87173 | − | 18.1816i | −0.174660 | − | 0.651840i | ||||
\(779\) | −30.2546 | −1.08398 | ||||||||
\(780\) | −0.528911 | + | 3.74744i | −0.0189380 | + | 0.134180i | ||||
\(781\) | 43.8325 | 1.56845 | ||||||||
\(782\) | 2.53502 | + | 9.46081i | 0.0906520 | + | 0.338318i | ||||
\(783\) | 27.7877 | − | 35.6992i | 0.993050 | − | 1.27579i | ||||
\(784\) | −5.56049 | + | 3.21035i | −0.198589 | + | 0.114655i | ||||
\(785\) | 4.74428 | − | 4.74428i | 0.169331 | − | 0.169331i | ||||
\(786\) | 8.19335 | + | 37.3656i | 0.292247 | + | 1.33279i | ||||
\(787\) | −26.9442 | − | 7.21968i | −0.960458 | − | 0.257354i | −0.255664 | − | 0.966766i | \(-0.582294\pi\) |
−0.704794 | + | 0.709412i | \(0.748961\pi\) | |||||||
\(788\) | 3.31151 | + | 3.31151i | 0.117968 | + | 0.117968i | ||||
\(789\) | 5.29478 | − | 8.26898i | 0.188499 | − | 0.294384i | ||||
\(790\) | 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 | ||||||
\(795\) | 6.99132 | − | 6.37676i | 0.247957 | − | 0.226160i | ||||
\(796\) | −6.45135 | + | 11.1741i | −0.228662 | + | 0.396054i | ||||
\(797\) | −21.9041 | − | 37.9390i | −0.775883 | − | 1.34387i | −0.934297 | − | 0.356496i | \(-0.883971\pi\) |
0.158414 | − | 0.987373i | \(-0.449362\pi\) | |||||||
\(798\) | 1.36219 | − | 4.28581i | 0.0482210 | − | 0.151716i | ||||
\(799\) | 11.0143 | − | 41.1058i | 0.389656 | − | 1.45422i | ||||
\(800\) | 1.19904 | − | 4.47488i | 0.0423925 | − | 0.158211i | ||||
\(801\) | −19.3597 | + | 3.32160i | −0.684041 | + | 0.117363i | ||||
\(802\) | 12.1106 | + | 20.9762i | 0.427640 | + | 0.740694i | ||||
\(803\) | 16.5755 | − | 28.7096i | 0.584937 | − | 1.01314i | ||||
\(804\) | −0.122295 | − | 0.134081i | −0.00431300 | − | 0.00472867i | ||||
\(805\) | − | 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 | \(-0.331160\pi\) |
−0.494075 | + | 0.869419i | \(0.664493\pi\) | |||||||
\(810\) | −4.14560 | − | 3.54428i | −0.145662 | − | 0.124533i | ||||
\(811\) | −5.70744 | − | 5.70744i | −0.200415 | − | 0.200415i | 0.599763 | − | 0.800178i | \(-0.295262\pi\) |
−0.800178 | + | 0.599763i | \(0.795262\pi\) | |||||||
\(812\) | −6.40069 | − | 1.71506i | −0.224620 | − | 0.0601868i | ||||
\(813\) | −41.4977 | + | 9.09942i | −1.45539 | + | 0.319130i | ||||
\(814\) | 17.4664 | − | 17.4664i | 0.612197 | − | 0.612197i | ||||
\(815\) | −2.75821 | + | 1.59245i | −0.0966157 | + | 0.0557811i | ||||
\(816\) | 0.417382 | − | 9.07888i | 0.0146113 | − | 0.317824i | ||||
\(817\) | −1.72198 | − | 6.42652i | −0.0602445 | − | 0.224835i | ||||
\(818\) | −26.8311 | −0.938128 | ||||||||
\(819\) | −1.52371 | + | 8.09048i | −0.0532428 | + | 0.282704i | ||||
\(820\) | 5.37473 | 0.187694 | ||||||||
\(821\) | −8.85384 | − | 33.0430i | −0.309001 | − | 1.15321i | −0.929446 | − | 0.368958i | \(-0.879715\pi\) |
0.620445 | − | 0.784250i | \(-0.286952\pi\) | |||||||
\(822\) | 0.794169 | − | 17.2748i | 0.0276998 | − | 0.602526i | ||||
\(823\) | 32.3186 | − | 18.6592i | 1.12656 | − | 0.650418i | 0.183490 | − | 0.983022i | \(-0.441260\pi\) |
0.943067 | + | 0.332604i | \(0.107927\pi\) | |||||||
\(824\) | 3.39327 | − | 3.39327i | 0.118210 | − | 0.118210i | ||||
\(825\) | 32.9382 | − | 7.22253i | 1.14676 | − | 0.251456i | ||||
\(826\) | −6.35180 | − | 1.70196i | −0.221007 | − | 0.0592187i | ||||
\(827\) | 8.16295 | + | 8.16295i | 0.283854 | + | 0.283854i | 0.834644 | − | 0.550790i | \(-0.185674\pi\) |
−0.550790 | + | 0.834644i | \(0.685674\pi\) | |||||||
\(828\) | −0.513795 | + | 5.57622i | −0.0178556 | + | 0.193787i | ||||
\(829\) | 28.1823 | + | 16.2711i | 0.978813 | + | 0.565118i | 0.901912 | − | 0.431921i | \(-0.142164\pi\) |
0.0769017 | + | 0.997039i | \(0.475497\pi\) | |||||||
\(830\) | 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 | ||||||
\(834\) | −4.39457 | − | 4.81811i | −0.152172 | − | 0.166837i | ||||
\(835\) | −4.76593 | + | 8.25484i | −0.164932 | + | 0.285671i | ||||
\(836\) | 7.16785 | + | 12.4151i | 0.247905 | + | 0.429385i | ||||
\(837\) | 15.7209 | − | 11.8911i | 0.543393 | − | 0.411016i | ||||
\(838\) | 2.80475 | − | 10.4675i | 0.0968885 | − | 0.361593i | ||||
\(839\) | 3.48230 | − | 12.9961i | 0.120222 | − | 0.448676i | −0.879402 | − | 0.476080i | \(-0.842057\pi\) |
0.999624 | + | 0.0274036i | \(0.00872393\pi\) | |||||||
\(840\) | −0.241993 | + | 0.761375i | −0.00834956 | + | 0.0262699i | ||||
\(841\) | 23.3998 | + | 40.5296i | 0.806889 | + | 1.39757i | ||||
\(842\) | −16.1916 | + | 28.0447i | −0.557999 | + | 0.966483i | ||||
\(843\) | 17.1850 | − | 15.6744i | 0.591884 | − | 0.539854i | ||||
\(844\) | 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 | ||||
\(849\) | 29.3613 | − | 45.8542i | 1.00768 | − | 1.57371i | ||||
\(850\) | 17.1891 | + | 17.1891i | 0.589581 | + | 0.589581i | ||||
\(851\) | −10.5978 | − | 2.83968i | −0.363290 | − | 0.0973431i | ||||
\(852\) | 3.86946 | + | 17.6466i | 0.132566 | + | 0.604563i | ||||
\(853\) | −8.09779 | + | 8.09779i | −0.277263 | + | 0.277263i | −0.832015 | − | 0.554752i | \(-0.812813\pi\) |
0.554752 | + | 0.832015i | \(0.312813\pi\) | |||||||
\(854\) | −5.35925 | + | 3.09416i | −0.183390 | + | 0.105880i | ||||
\(855\) | 2.59509 | + | 5.63290i | 0.0887501 | + | 0.192641i | ||||
\(856\) | −0.808823 | − | 3.01857i | −0.0276450 | − | 0.103173i | ||||
\(857\) | 2.81672 | 0.0962173 | 0.0481086 | − | 0.998842i | \(-0.484681\pi\) | ||||
0.0481086 | + | 0.998842i | \(0.484681\pi\) | |||||||
\(858\) | −15.7818 | − | 20.9687i | −0.538780 | − | 0.715859i | ||||
\(859\) | 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 | ||||
\(861\) | 11.6795 | + | 0.536938i | 0.398035 | + | 0.0182988i | ||||
\(862\) | −29.0679 | + | 16.7824i | −0.990057 | + | 0.571610i | ||||
\(863\) | 16.9992 | − | 16.9992i | 0.578658 | − | 0.578658i | −0.355875 | − | 0.934534i | \(-0.615817\pi\) |
0.934534 | + | 0.355875i | \(0.115817\pi\) | |||||||
\(864\) | 2.02166 | − | 4.78674i | 0.0687783 | − | 0.162848i | ||||
\(865\) | −3.17488 | − | 0.850706i | −0.107949 | − | 0.0289249i | ||||
\(866\) | 16.7982 | + | 16.7982i | 0.570825 | + | 0.570825i | ||||
\(867\) | 15.3645 | + | 9.83821i | 0.521807 | + | 0.334123i | ||||
\(868\) | −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 | ||||||
\(873\) | −16.3651 | + | 44.3252i | −0.553874 | + | 1.50018i | ||||
\(874\) | 3.18379 | − | 5.51449i | 0.107693 | − | 0.186530i | ||||
\(875\) | −2.22155 | − | 3.84783i | −0.0751020 | − | 0.130080i | ||||
\(876\) | 13.0215 | + | 4.13872i | 0.439956 | + | 0.139834i | ||||
\(877\) | −7.98650 | + | 29.8060i | −0.269685 | + | 1.00648i | 0.689635 | + | 0.724157i | \(0.257771\pi\) |
−0.959320 | + | 0.282321i | \(0.908896\pi\) | |||||||
\(878\) | 3.84769 | − | 14.3598i | 0.129853 | − | 0.484619i | ||||
\(879\) | 3.45791 | + | 1.09905i | 0.116633 | + | 0.0370702i | ||||
\(880\) | −1.27337 | − | 2.20554i | −0.0429253 | − | 0.0743487i | ||||
\(881\) | −23.1312 | + | 40.0644i | −0.779310 | + | 1.34980i | 0.153030 | + | 0.988222i | \(0.451097\pi\) |
−0.932340 | + | 0.361583i | \(0.882236\pi\) | |||||||
\(882\) | 6.67149 | − | 18.0699i | 0.224641 | − | 0.608444i | ||||
\(883\) | − | 31.0867i | − | 1.04615i | −0.852286 | − | 0.523076i | \(-0.824784\pi\) | ||
0.852286 | − | 0.523076i | \(-0.175216\pi\) | |||||||
\(884\) | 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 | \(-0.125077\pi\) |
0.130287 | + | 0.991476i | \(0.458410\pi\) | |||||||
\(888\) | 8.57373 | + | 5.48992i | 0.287715 | + | 0.184230i | ||||
\(889\) | 1.20283 | + | 1.20283i | 0.0403418 | + | 0.0403418i | ||||
\(890\) | −3.83272 | − | 1.02697i | −0.128473 | − | 0.0344242i | ||||
\(891\) | 37.7066 | − | 2.94852i | 1.26322 | − | 0.0987790i | ||||
\(892\) | 2.51039 | − | 2.51039i | 0.0840540 | − | 0.0840540i | ||||
\(893\) | −23.9596 | + | 13.8331i | −0.801778 | + | 0.462907i | ||||
\(894\) | −15.0997 | − | 0.694174i | −0.505008 | − | 0.0232167i | ||||
\(895\) | 1.62822 | + | 6.07662i | 0.0544255 | + | 0.203119i | ||||
\(896\) | −0.761114 | −0.0254270 | ||||||||
\(897\) | −4.56104 | + | 10.7276i | −0.152289 | + | 0.358186i | ||||
\(898\) | −4.56520 | −0.152343 | ||||||||
\(899\) | 8.54806 | + | 31.9018i | 0.285094 | + | 1.06398i | ||||
\(900\) | 5.81546 | + | 12.6230i | 0.193849 | + | 0.420768i | ||||
\(901\) | −40.9663 | + | 23.6519i | −1.36479 | + | 0.787960i | ||||
\(902\) | −26.3545 | + | 26.3545i | −0.877508 | + | 0.877508i | ||||
\(903\) | 0.550699 | + | 2.51145i | 0.0183261 | + | 0.0835758i | ||||
\(904\) | 6.73373 | + | 1.80430i | 0.223961 | + | 0.0600101i | ||||
\(905\) | 4.76394 | + | 4.76394i | 0.158359 | + | 0.158359i | ||||
\(906\) | 22.9397 | − | 35.8255i | 0.762121 | − | 1.19022i | ||||
\(907\) | −47.4882 | − | 27.4174i | −1.57682 | − | 0.910378i | −0.995299 | − | 0.0968476i | \(-0.969124\pi\) |
−0.581522 | − | 0.813531i | \(-0.697543\pi\) | |||||||
\(908\) | 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 | \(-0.0663737\pi\) | |||||||
\(912\) | −4.36544 | + | 3.98170i | −0.144554 | + | 0.131847i | ||||
\(913\) | −2.96242 | + | 5.13106i | −0.0980417 | + | 0.169813i | ||||
\(914\) | −13.1464 | − | 22.7702i | −0.434844 | − | 0.753171i | ||||
\(915\) | 2.58510 | − | 8.13340i | 0.0854607 | − | 0.268882i | ||||
\(916\) | −4.16864 | + | 15.5576i | −0.137736 | + | 0.514037i | ||||
\(917\) | −4.35066 | + | 16.2369i | −0.143671 | + | 0.536189i | ||||
\(918\) | 16.4480 | + | 21.7455i | 0.542865 | + | 0.717708i | ||||
\(919\) | −15.2143 | − | 26.3520i | −0.501874 | − | 0.869272i | −0.999998 | − | 0.00216566i | \(-0.999311\pi\) |
0.498123 | − | 0.867106i | \(-0.334023\pi\) | |||||||
\(920\) | −0.565601 | + | 0.979649i | −0.0186473 | + | 0.0322981i | ||||
\(921\) | −3.15841 | − | 3.46280i | −0.104073 | − | 0.114103i | ||||
\(922\) | 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 | ||||
\(927\) | −1.32090 | + | 14.3357i | −0.0433839 | + | 0.470846i | ||||
\(928\) | 6.15628 | + | 6.15628i | 0.202090 | + | 0.202090i | ||||
\(929\) | −11.3485 | − | 3.04082i | −0.372332 | − | 0.0997662i | 0.0678003 | − | 0.997699i | \(-0.478402\pi\) |
−0.440133 | + | 0.897933i | \(0.645069\pi\) | |||||||
\(930\) | 3.88944 | − | 0.852857i | 0.127540 | − | 0.0279663i | ||||
\(931\) | −15.4877 | + | 15.4877i | −0.507590 | + | 0.507590i | ||||
\(932\) | 19.3822 | − | 11.1903i | 0.634886 | − | 0.366552i | ||||
\(933\) | 0.572198 | − | 12.4464i | 0.0187329 | − | 0.407478i | ||||
\(934\) | −3.28970 | − | 12.2773i | −0.107642 | − | 0.401726i | ||||
\(935\) | 13.3633 | 0.437027 | ||||||||
\(936\) | 7.04863 | − | 8.20468i | 0.230392 | − | 0.268179i | ||||
\(937\) | 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 | ||||
\(939\) | −1.16547 | + | 25.3512i | −0.0380336 | + | 0.827306i | ||||
\(940\) | 4.25643 | − | 2.45745i | 0.138829 | − | 0.0801532i | ||||
\(941\) | 35.4161 | − | 35.4161i | 1.15453 | − | 1.15453i | 0.168897 | − | 0.985634i | \(-0.445980\pi\) |
0.985634 | − | 0.168897i | \(-0.0540204\pi\) | |||||||
\(942\) | −18.7311 | + | 4.10726i | −0.610292 | + | 0.133822i | ||||
\(943\) | 15.9907 | + | 4.28471i | 0.520730 | + | 0.139529i | ||||
\(944\) | 6.10925 | + | 6.10925i | 0.198839 | + | 0.198839i | ||||
\(945\) | −0.901837 | − | 2.22058i | −0.0293368 | − | 0.0722354i | ||||
\(946\) | −7.09808 | − | 4.09808i | −0.230778 | − | 0.133240i | ||||
\(947\) | −54.5457 | + | 14.6155i | −1.77250 | + | 0.474939i | −0.989183 | − | 0.146687i | \(-0.953139\pi\) |
−0.783314 | + | 0.621626i | \(0.786472\pi\) | |||||||
\(948\) | −10.8131 | − | 20.8894i | −0.351195 | − | 0.678456i | ||||
\(949\) | 23.1840 | + | 16.4769i | 0.752584 | + | 0.534862i | ||||
\(950\) | − | 15.8037i | − | 0.512739i | ||||||
\(951\) | −6.48844 | − | 7.11377i | −0.210402 | − | 0.230680i | ||||
\(952\) | 1.99687 | − | 3.45868i | 0.0647190 | − | 0.112097i | ||||
\(953\) | 3.27175 | + | 5.66683i | 0.105982 | + | 0.183567i | 0.914139 | − | 0.405401i | \(-0.132868\pi\) |
−0.808157 | + | 0.588967i | \(0.799535\pi\) | |||||||
\(954\) | −26.6555 | + | 4.57337i | −0.863005 | + | 0.148068i | ||||
\(955\) | 0.899128 | − | 3.35559i | 0.0290951 | − | 0.108584i | ||||
\(956\) | −2.22630 | + | 8.30866i | −0.0720037 | + | 0.268721i | ||||
\(957\) | −19.1955 | + | 60.3941i | −0.620502 | + | 1.95226i | ||||
\(958\) | −17.9138 | − | 31.0276i | −0.578769 | − | 1.00246i | ||||
\(959\) | 3.79953 | − | 6.58097i | 0.122693 | − | 0.212511i | ||||
\(960\) | 0.775521 | − | 0.707349i | 0.0250298 | − | 0.0228296i | ||||
\(961\) | − | 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 | ||||
\(966\) | −1.32694 | + | 2.07231i | −0.0426935 | + | 0.0666753i | ||||
\(967\) | −10.8941 | − | 10.8941i | −0.350332 | − | 0.350332i | 0.509901 | − | 0.860233i | \(-0.329682\pi\) |
−0.860233 | + | 0.509901i | \(0.829682\pi\) | |||||||
\(968\) | 6.43331 | + | 1.72380i | 0.206774 | + | 0.0554050i | ||||
\(969\) | −6.64054 | − | 30.2840i | −0.213325 | − | 0.972863i | ||||
\(970\) | −6.74915 | + | 6.74915i | −0.216702 | + | 0.216702i | ||||
\(971\) | 2.07268 | − | 1.19666i | 0.0665153 | − | 0.0384027i | −0.466373 | − | 0.884588i | \(-0.654440\pi\) |
0.532889 | + | 0.846185i | \(0.321106\pi\) | |||||||
\(972\) | 4.51572 | + | 14.9201i | 0.144842 | + | 0.478561i | ||||
\(973\) | −0.741677 | − | 2.76798i | −0.0237771 | − | 0.0887372i | ||||
\(974\) | 6.72951 | 0.215628 | ||||||||
\(975\) | 3.50901 | + | 28.7179i | 0.112378 | + | 0.919708i | ||||
\(976\) | 8.13061 | 0.260255 | ||||||||
\(977\) | 8.71475 | + | 32.5239i | 0.278810 | + | 1.04053i | 0.953245 | + | 0.302198i | \(0.0977203\pi\) |
−0.674436 | + | 0.738334i | \(0.735613\pi\) | |||||||
\(978\) | 9.09311 | + | 0.418036i | 0.290766 | + | 0.0133673i | ||||
\(979\) | 23.8290 | − | 13.7577i | 0.761579 | − | 0.439698i | ||||
\(980\) | 2.75140 | − | 2.75140i | 0.0878902 | − | 0.0878902i | ||||
\(981\) | 2.47884 | + | 2.98200i | 0.0791433 | + | 0.0952081i | ||||
\(982\) | 28.7979 | + | 7.71639i | 0.918979 | + | 0.246240i | ||||
\(983\) | −26.5732 | − | 26.5732i | −0.847553 | − | 0.847553i | 0.142274 | − | 0.989827i | \(-0.454558\pi\) |
−0.989827 | + | 0.142274i | \(0.954558\pi\) | |||||||
\(984\) | −12.9366 | − | 8.28356i | −0.412404 | − | 0.264070i | ||||
\(985\) | −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 | ||||||||
\(990\) | 7.16732 | + | 2.64621i | 0.227792 | + | 0.0841020i | ||||
\(991\) | −10.8598 | + | 18.8098i | −0.344974 | + | 0.597512i | −0.985349 | − | 0.170550i | \(-0.945445\pi\) |
0.640375 | + | 0.768062i | \(0.278779\pi\) | |||||||
\(992\) | 1.89674 | + | 3.28525i | 0.0602216 | + | 0.104307i | ||||
\(993\) | 32.6058 | + | 10.3633i | 1.03471 | + | 0.328871i | ||||
\(994\) | −2.05468 | + | 7.66817i | −0.0651705 | + | 0.243220i | ||||
\(995\) | 2.02378 | − | 7.55283i | 0.0641580 | − | 0.239441i | ||||
\(996\) | −2.32724 | − | 0.739683i | −0.0737413 | − | 0.0234377i | ||||
\(997\) | 5.77610 | + | 10.0045i | 0.182931 | + | 0.316846i | 0.942877 | − | 0.333140i | \(-0.108108\pi\) |
−0.759946 | + | 0.649986i | \(0.774775\pi\) | |||||||
\(998\) | 18.0657 | − | 31.2907i | 0.571859 | − | 0.990489i | ||||
\(999\) | −30.3079 | + | 3.77688i | −0.958898 | + | 0.119495i |
(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.59.2 | yes | 16 | |
3.2 | odd | 2 | inner | 78.2.k.a.59.4 | yes | 16 | |
4.3 | odd | 2 | 624.2.cn.d.449.2 | 16 | |||
12.11 | even | 2 | 624.2.cn.d.449.1 | 16 | |||
13.2 | odd | 12 | inner | 78.2.k.a.41.4 | yes | 16 | |
13.4 | even | 6 | 1014.2.g.d.437.5 | 16 | |||
13.6 | odd | 12 | 1014.2.g.c.239.5 | 16 | |||
13.7 | odd | 12 | 1014.2.g.d.239.1 | 16 | |||
13.9 | even | 3 | 1014.2.g.c.437.1 | 16 | |||
39.2 | even | 12 | inner | 78.2.k.a.41.2 | ✓ | 16 | |
39.17 | odd | 6 | 1014.2.g.d.437.1 | 16 | |||
39.20 | even | 12 | 1014.2.g.d.239.5 | 16 | |||
39.32 | even | 12 | 1014.2.g.c.239.1 | 16 | |||
39.35 | odd | 6 | 1014.2.g.c.437.5 | 16 | |||
52.15 | even | 12 | 624.2.cn.d.353.1 | 16 | |||
156.119 | odd | 12 | 624.2.cn.d.353.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
78.2.k.a.41.2 | ✓ | 16 | 39.2 | even | 12 | inner | |
78.2.k.a.41.4 | yes | 16 | 13.2 | odd | 12 | inner | |
78.2.k.a.59.2 | yes | 16 | 1.1 | even | 1 | trivial | |
78.2.k.a.59.4 | yes | 16 | 3.2 | odd | 2 | inner | |
624.2.cn.d.353.1 | 16 | 52.15 | even | 12 | |||
624.2.cn.d.353.2 | 16 | 156.119 | odd | 12 | |||
624.2.cn.d.449.1 | 16 | 12.11 | even | 2 | |||
624.2.cn.d.449.2 | 16 | 4.3 | odd | 2 | |||
1014.2.g.c.239.1 | 16 | 39.32 | even | 12 | |||
1014.2.g.c.239.5 | 16 | 13.6 | odd | 12 | |||
1014.2.g.c.437.1 | 16 | 13.9 | even | 3 | |||
1014.2.g.c.437.5 | 16 | 39.35 | odd | 6 | |||
1014.2.g.d.239.1 | 16 | 13.7 | odd | 12 | |||
1014.2.g.d.239.5 | 16 | 39.20 | even | 12 | |||
1014.2.g.d.437.1 | 16 | 39.17 | odd | 6 | |||
1014.2.g.d.437.5 | 16 | 13.4 | even | 6 |