Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(199,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.199");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bf (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 244.7 | ||
Character | \(\chi\) | \(=\) | 585.244 |
Dual form | 585.2.bf.b.199.8 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.348519 | + | 0.603653i | 0.246440 | + | 0.426847i | 0.962536 | − | 0.271155i | \(-0.0874057\pi\) |
−0.716095 | + | 0.698003i | \(0.754072\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.757068 | − | 1.31128i | 0.378534 | − | 0.655641i | ||||
\(5\) | 1.15739 | − | 1.91323i | 0.517602 | − | 0.855622i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.459373 | + | 0.795657i | −0.173627 | + | 0.300730i | −0.939685 | − | 0.342041i | \(-0.888882\pi\) |
0.766058 | + | 0.642771i | \(0.222215\pi\) | |||||||
\(8\) | 2.44949 | 0.866025 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.55830 | + | 0.0318667i | 0.492778 | + | 0.0100772i | ||||
\(11\) | 2.18858 | − | 1.26358i | 0.659881 | − | 0.380983i | −0.132350 | − | 0.991203i | \(-0.542252\pi\) |
0.792232 | + | 0.610220i | \(0.208919\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.59920 | − | 0.213965i | −0.998238 | − | 0.0593432i | ||||
\(14\) | −0.640402 | −0.171155 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.660442 | − | 1.14392i | −0.165111 | − | 0.285980i | ||||
\(17\) | 3.25836 | + | 1.88122i | 0.790269 | + | 0.456262i | 0.840057 | − | 0.542498i | \(-0.182521\pi\) |
−0.0497882 | + | 0.998760i | \(0.515855\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.27121 | − | 1.31128i | −0.521050 | − | 0.300829i | 0.216314 | − | 0.976324i | \(-0.430597\pi\) |
−0.737364 | + | 0.675495i | \(0.763930\pi\) | |||||||
\(20\) | −1.63255 | − | 2.96611i | −0.365050 | − | 0.663243i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.52552 | + | 0.880762i | 0.325243 | + | 0.187779i | ||||
\(23\) | 2.84249 | − | 1.64111i | 0.592700 | − | 0.342196i | −0.173464 | − | 0.984840i | \(-0.555496\pi\) |
0.766165 | + | 0.642644i | \(0.222163\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.32088 | − | 4.42871i | −0.464177 | − | 0.885743i | ||||
\(26\) | −1.12523 | − | 2.24724i | −0.220676 | − | 0.440720i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.695554 | + | 1.20473i | 0.131447 | + | 0.227673i | ||||
\(29\) | −0.320201 | − | 0.554604i | −0.0594598 | − | 0.102987i | 0.834763 | − | 0.550609i | \(-0.185604\pi\) |
−0.894223 | + | 0.447622i | \(0.852271\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 1.39733i | − | 0.250967i | −0.992096 | − | 0.125484i | \(-0.959952\pi\) | ||
0.992096 | − | 0.125484i | \(-0.0400483\pi\) | |||||||
\(32\) | 2.90984 | − | 5.04000i | 0.514393 | − | 0.890954i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.62256i | 0.449766i | ||||||||
\(35\) | 0.990599 | + | 1.79977i | 0.167442 | + | 0.304217i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.44427 | + | 4.23360i | 0.401836 | + | 0.696000i | 0.993948 | − | 0.109856i | \(-0.0350390\pi\) |
−0.592112 | + | 0.805856i | \(0.701706\pi\) | |||||||
\(38\) | − | 1.82803i | − | 0.296545i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.83502 | − | 4.68643i | 0.448256 | − | 0.740990i | ||||
\(41\) | 1.38355 | − | 0.798793i | 0.216074 | − | 0.124751i | −0.388057 | − | 0.921635i | \(-0.626854\pi\) |
0.604131 | + | 0.796885i | \(0.293520\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.68045 | − | 1.54756i | −0.408765 | − | 0.236001i | 0.281494 | − | 0.959563i | \(-0.409170\pi\) |
−0.690259 | + | 0.723562i | \(0.742503\pi\) | |||||||
\(44\) | − | 3.82646i | − | 0.576860i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.98133 | + | 1.14392i | 0.292131 | + | 0.168662i | ||||
\(47\) | −0.562334 | −0.0820249 | −0.0410124 | − | 0.999159i | \(-0.513058\pi\) | ||||
−0.0410124 | + | 0.999159i | \(0.513058\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.07795 | + | 5.33117i | 0.439708 | + | 0.761596i | ||||
\(50\) | 1.86453 | − | 2.94450i | 0.263685 | − | 0.416415i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.00541 | + | 4.55757i | −0.416775 | + | 0.632022i | ||||
\(53\) | 7.52487i | 1.03362i | 0.856100 | + | 0.516810i | \(0.172881\pi\) | ||||
−0.856100 | + | 0.516810i | \(0.827119\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.115535 | − | 5.64971i | 0.0155787 | − | 0.761806i | ||||
\(56\) | −1.12523 | + | 1.94895i | −0.150365 | + | 0.260440i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.223192 | − | 0.386581i | 0.0293066 | − | 0.0507605i | ||||
\(59\) | −4.05696 | − | 2.34229i | −0.528171 | − | 0.304940i | 0.212100 | − | 0.977248i | \(-0.431970\pi\) |
−0.740271 | + | 0.672308i | \(0.765303\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.72426 | + | 2.98650i | −0.220769 | + | 0.382383i | −0.955042 | − | 0.296472i | \(-0.904190\pi\) |
0.734273 | + | 0.678854i | \(0.237523\pi\) | |||||||
\(62\) | 0.843502 | − | 0.486996i | 0.107125 | − | 0.0618485i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.41478 | 0.176847 | ||||||||
\(65\) | −4.57505 | + | 6.63844i | −0.567465 | + | 0.823398i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.43457 | + | 12.8771i | 0.908278 | + | 1.57318i | 0.816456 | + | 0.577408i | \(0.195936\pi\) |
0.0918221 | + | 0.995775i | \(0.470731\pi\) | |||||||
\(68\) | 4.93361 | − | 2.84842i | 0.598288 | − | 0.345422i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.741196 | + | 1.22523i | −0.0885899 | + | 0.146444i | ||||
\(71\) | 10.8401 | + | 6.25856i | 1.28649 | + | 0.742755i | 0.978026 | − | 0.208482i | \(-0.0668522\pi\) |
0.308463 | + | 0.951236i | \(0.400186\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.13230 | −0.249567 | −0.124784 | − | 0.992184i | \(-0.539824\pi\) | ||||
−0.124784 | + | 0.992184i | \(0.539824\pi\) | |||||||
\(74\) | −1.70375 | + | 2.95098i | −0.198057 | + | 0.343045i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.43892 | + | 1.98546i | −0.394471 | + | 0.227748i | ||||
\(77\) | 2.32181i | 0.264595i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.92892 | −0.442038 | −0.221019 | − | 0.975270i | \(-0.570938\pi\) | ||||
−0.221019 | + | 0.975270i | \(0.570938\pi\) | |||||||
\(80\) | −2.95297 | − | 0.0603873i | −0.330152 | − | 0.00675151i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.964388 | + | 0.556790i | 0.106499 | + | 0.0614872i | ||||
\(83\) | −9.66325 | −1.06068 | −0.530340 | − | 0.847785i | \(-0.677936\pi\) | ||||
−0.530340 | + | 0.847785i | \(0.677936\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.37040 | − | 4.05669i | 0.799432 | − | 0.440009i | ||||
\(86\) | − | 2.15742i | − | 0.232640i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.36090 | − | 3.09512i | 0.571474 | − | 0.329941i | ||||
\(89\) | 10.4172 | − | 6.01437i | 1.10422 | − | 0.637522i | 0.166895 | − | 0.985975i | \(-0.446626\pi\) |
0.937326 | + | 0.348452i | \(0.113293\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.82362 | − | 2.76544i | 0.191167 | − | 0.289897i | ||||
\(92\) | − | 4.96974i | − | 0.518131i | ||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.195984 | − | 0.339455i | −0.0202143 | − | 0.0350121i | ||||
\(95\) | −5.13746 | + | 2.82767i | −0.527092 | + | 0.290113i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.82780 | + | 11.8261i | −0.693258 | + | 1.20076i | 0.277507 | + | 0.960724i | \(0.410492\pi\) |
−0.970765 | + | 0.240034i | \(0.922841\pi\) | |||||||
\(98\) | −2.14545 | + | 3.71603i | −0.216723 | + | 0.375376i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −7.56436 | − | 0.309507i | −0.756436 | − | 0.0309507i | ||||
\(101\) | 8.81620 | + | 15.2701i | 0.877244 | + | 1.51943i | 0.854353 | + | 0.519694i | \(0.173954\pi\) |
0.0228917 | + | 0.999738i | \(0.492713\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 14.2793i | − | 1.40698i | −0.710704 | − | 0.703491i | \(-0.751623\pi\) | ||
0.710704 | − | 0.703491i | \(-0.248377\pi\) | |||||||
\(104\) | −8.81620 | − | 0.524105i | −0.864499 | − | 0.0513927i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.54241 | + | 2.62256i | −0.441198 | + | 0.254726i | ||||
\(107\) | −14.2811 | + | 8.24518i | −1.38060 | + | 0.797091i | −0.992231 | − | 0.124411i | \(-0.960296\pi\) |
−0.388372 | + | 0.921503i | \(0.626962\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 12.0597i | − | 1.15511i | −0.816353 | − | 0.577553i | \(-0.804008\pi\) | ||
0.816353 | − | 0.577553i | \(-0.195992\pi\) | |||||||
\(110\) | 3.45073 | − | 1.89929i | 0.329014 | − | 0.181090i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.21356 | 0.114670 | ||||||||
\(113\) | −4.73155 | − | 2.73176i | −0.445107 | − | 0.256983i | 0.260655 | − | 0.965432i | \(-0.416062\pi\) |
−0.705761 | + | 0.708450i | \(0.749395\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.150055 | − | 7.33775i | 0.0139927 | − | 0.684248i | ||||
\(116\) | −0.969656 | −0.0900303 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 3.26533i | − | 0.300598i | ||||||
\(119\) | −2.99361 | + | 1.72836i | −0.274424 | + | 0.158439i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.30675 | + | 3.99540i | −0.209704 | + | 0.363219i | ||||
\(122\) | −2.40375 | −0.217625 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.83229 | − | 1.05787i | −0.164544 | − | 0.0949998i | ||||
\(125\) | −11.1593 | − | 0.685378i | −0.998119 | − | 0.0613020i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.47230 | + | 2.58208i | −0.396852 | + | 0.229123i | −0.685125 | − | 0.728426i | \(-0.740252\pi\) |
0.288273 | + | 0.957548i | \(0.406919\pi\) | |||||||
\(128\) | −5.32661 | − | 9.22596i | −0.470810 | − | 0.815467i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.60181 | − | 0.448116i | −0.491311 | − | 0.0393024i | ||||
\(131\) | −14.7415 | −1.28797 | −0.643987 | − | 0.765037i | \(-0.722721\pi\) | ||||
−0.643987 | + | 0.765037i | \(0.722721\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.08666 | − | 1.20473i | 0.180936 | − | 0.104464i | ||||
\(134\) | −5.18219 | + | 8.97581i | −0.447673 | + | 0.775392i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.98133 | + | 4.60802i | 0.684393 | + | 0.395135i | ||||
\(137\) | −5.18015 | + | 8.97228i | −0.442570 | + | 0.766553i | −0.997879 | − | 0.0650903i | \(-0.979266\pi\) |
0.555310 | + | 0.831644i | \(0.312600\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.0610840 | − | 0.105801i | 0.00518108 | − | 0.00897389i | −0.863423 | − | 0.504480i | \(-0.831684\pi\) |
0.868604 | + | 0.495506i | \(0.165017\pi\) | |||||||
\(140\) | 3.10996 | + | 0.0635977i | 0.262840 | + | 0.00537499i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.72492i | 0.732179i | ||||||||
\(143\) | −8.14749 | + | 4.07958i | −0.681327 | + | 0.341152i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.43168 | − | 0.0292774i | −0.118895 | − | 0.00243136i | ||||
\(146\) | −0.743149 | − | 1.28717i | −0.0615034 | − | 0.106527i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.40192 | 0.608434 | ||||||||
\(149\) | 11.4896 | + | 6.63353i | 0.941265 | + | 0.543440i | 0.890357 | − | 0.455264i | \(-0.150455\pi\) |
0.0509083 | + | 0.998703i | \(0.483788\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 16.4143i | − | 1.33578i | −0.744262 | − | 0.667888i | \(-0.767199\pi\) | ||
0.744262 | − | 0.667888i | \(-0.232801\pi\) | |||||||
\(152\) | −5.56329 | − | 3.21197i | −0.451243 | − | 0.260525i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.40157 | + | 0.809197i | −0.112942 | + | 0.0652069i | ||||
\(155\) | −2.67341 | − | 1.61726i | −0.214733 | − | 0.129901i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 19.5639i | 1.56137i | 0.624926 | + | 0.780684i | \(0.285129\pi\) | ||||
−0.624926 | + | 0.780684i | \(0.714871\pi\) | |||||||
\(158\) | −1.36930 | − | 2.37170i | −0.108936 | − | 0.188683i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.27483 | − | 11.4005i | −0.496069 | − | 0.901285i | ||||
\(161\) | 3.01553i | 0.237657i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.85048 | − | 3.20513i | 0.144941 | − | 0.251045i | −0.784410 | − | 0.620243i | \(-0.787034\pi\) |
0.929351 | + | 0.369198i | \(0.120367\pi\) | |||||||
\(164\) | − | 2.41896i | − | 0.188889i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.36783 | − | 5.83326i | −0.261394 | − | 0.452748i | ||||
\(167\) | −8.83151 | − | 15.2966i | −0.683403 | − | 1.18369i | −0.973936 | − | 0.226824i | \(-0.927166\pi\) |
0.290533 | − | 0.956865i | \(-0.406167\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.9084 | + | 1.54020i | 0.992957 | + | 0.118477i | ||||
\(170\) | 5.01756 | + | 3.03533i | 0.384829 | + | 0.232799i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −4.05857 | + | 2.34322i | −0.309463 | + | 0.178669i | ||||
\(173\) | 6.02049 | + | 3.47593i | 0.457729 | + | 0.264270i | 0.711089 | − | 0.703102i | \(-0.248202\pi\) |
−0.253360 | + | 0.967372i | \(0.581536\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.58989 | + | 0.187802i | 0.346963 | + | 0.0141965i | ||||
\(176\) | −2.89086 | − | 1.66904i | −0.217907 | − | 0.125809i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.26119 | + | 4.19225i | 0.544249 | + | 0.314223i | ||||
\(179\) | 11.3869 | + | 19.7226i | 0.851094 | + | 1.47414i | 0.880222 | + | 0.474562i | \(0.157393\pi\) |
−0.0291287 | + | 0.999576i | \(0.509273\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.966262 | 0.0718217 | 0.0359108 | − | 0.999355i | \(-0.488567\pi\) | ||||
0.0359108 | + | 0.999355i | \(0.488567\pi\) | |||||||
\(182\) | 2.30493 | + | 0.137023i | 0.170853 | + | 0.0101569i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.96265 | − | 4.01989i | 0.513294 | − | 0.296350i | ||||
\(185\) | 10.9288 | + | 0.223491i | 0.803503 | + | 0.0164314i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.50825 | 0.695312 | ||||||||
\(188\) | −0.425726 | + | 0.737378i | −0.0310492 | + | 0.0537788i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.49743 | − | 2.11575i | −0.253731 | − | 0.153492i | ||||
\(191\) | 8.49600 | − | 14.7155i | 0.614749 | − | 1.06478i | −0.375680 | − | 0.926749i | \(-0.622591\pi\) |
0.990429 | − | 0.138026i | \(-0.0440759\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.8864 | − | 18.8557i | −0.783618 | − | 1.35727i | −0.929821 | − | 0.368011i | \(-0.880039\pi\) |
0.146204 | − | 0.989255i | \(-0.453295\pi\) | |||||||
\(194\) | −9.51848 | −0.683387 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.32088 | 0.665777 | ||||||||
\(197\) | 8.79688 | + | 15.2366i | 0.626752 | + | 1.08557i | 0.988199 | + | 0.153174i | \(0.0489494\pi\) |
−0.361447 | + | 0.932393i | \(0.617717\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.68418 | + | 13.3094i | −0.544717 | + | 0.943478i | 0.453908 | + | 0.891049i | \(0.350030\pi\) |
−0.998625 | + | 0.0524289i | \(0.983304\pi\) | |||||||
\(200\) | −5.68498 | − | 10.8481i | −0.401989 | − | 0.767076i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −6.14523 | + | 10.6439i | −0.432377 | + | 0.748899i | ||||
\(203\) | 0.588366 | 0.0412952 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.0730374 | − | 3.57157i | 0.00510115 | − | 0.249449i | ||||
\(206\) | 8.61975 | − | 4.97662i | 0.600567 | − | 0.346737i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.13230 | + | 4.25850i | 0.147849 | + | 0.295274i | ||||
\(209\) | −6.62762 | −0.458442 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.52827 | + | 14.7714i | 0.587111 | + | 1.01691i | 0.994609 | + | 0.103699i | \(0.0330680\pi\) |
−0.407498 | + | 0.913206i | \(0.633599\pi\) | |||||||
\(212\) | 9.86722 | + | 5.69684i | 0.677683 | + | 0.391261i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.95446 | − | 5.74721i | −0.680473 | − | 0.392871i | ||||
\(215\) | −6.06317 | + | 3.33718i | −0.413505 | + | 0.227594i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.11179 | + | 0.641895i | 0.0754735 | + | 0.0435746i | ||||
\(218\) | 7.27986 | − | 4.20303i | 0.493054 | − | 0.284665i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.32088 | − | 4.42871i | −0.493574 | − | 0.298584i | ||||
\(221\) | −11.3250 | − | 7.46804i | −0.761800 | − | 0.502355i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.36302 | − | 5.82492i | −0.225204 | − | 0.390065i | 0.731176 | − | 0.682188i | \(-0.238972\pi\) |
−0.956381 | + | 0.292123i | \(0.905638\pi\) | |||||||
\(224\) | 2.67341 | + | 4.63048i | 0.178625 | + | 0.309387i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 3.80829i | − | 0.253324i | ||||||
\(227\) | 5.04544 | − | 8.73896i | 0.334878 | − | 0.580025i | −0.648584 | − | 0.761143i | \(-0.724638\pi\) |
0.983461 | + | 0.181118i | \(0.0579716\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.8250i | 0.715334i | 0.933849 | + | 0.357667i | \(0.116428\pi\) | ||||
−0.933849 | + | 0.357667i | \(0.883572\pi\) | |||||||
\(230\) | 4.48175 | − | 2.46677i | 0.295518 | − | 0.162654i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.784329 | − | 1.35850i | −0.0514937 | − | 0.0891897i | ||||
\(233\) | 25.4353i | 1.66632i | 0.553031 | + | 0.833161i | \(0.313471\pi\) | ||||
−0.553031 | + | 0.833161i | \(0.686529\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.650842 | + | 1.07587i | −0.0424562 | + | 0.0701823i | ||||
\(236\) | −6.14279 | + | 3.54654i | −0.399862 | + | 0.230860i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.08666 | − | 1.20473i | −0.135258 | − | 0.0780913i | ||||
\(239\) | − | 12.6358i | − | 0.817340i | −0.912682 | − | 0.408670i | \(-0.865993\pi\) | ||
0.912682 | − | 0.408670i | \(-0.134007\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −8.71012 | − | 5.02879i | −0.561068 | − | 0.323933i | 0.192506 | − | 0.981296i | \(-0.438339\pi\) |
−0.753574 | + | 0.657363i | \(0.771672\pi\) | |||||||
\(242\) | −3.21579 | −0.206718 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.61076 | + | 4.52197i | 0.167137 | + | 0.289490i | ||||
\(245\) | 13.7621 | + | 0.281432i | 0.879231 | + | 0.0179800i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.89395 | + | 5.20552i | 0.502280 | + | 0.331219i | ||||
\(248\) | − | 3.42274i | − | 0.217344i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.47551 | − | 6.97522i | −0.219810 | − | 0.441152i | ||||
\(251\) | −7.20614 | + | 12.4814i | −0.454847 | + | 0.787819i | −0.998679 | − | 0.0513752i | \(-0.983640\pi\) |
0.543832 | + | 0.839194i | \(0.316973\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.14734 | − | 7.18341i | 0.260741 | − | 0.451617i | ||||
\(254\) | −3.11737 | − | 1.79981i | −0.195601 | − | 0.112930i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.12763 | − | 8.88132i | 0.320477 | − | 0.555082i | ||||
\(257\) | 19.5619 | − | 11.2941i | 1.22024 | − | 0.704506i | 0.255271 | − | 0.966870i | \(-0.417835\pi\) |
0.964969 | + | 0.262364i | \(0.0845020\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.49133 | −0.279077 | ||||||||
\(260\) | 5.24124 | + | 11.0249i | 0.325048 | + | 0.683737i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −5.13771 | − | 8.89877i | −0.317409 | − | 0.549768i | ||||
\(263\) | 15.6208 | − | 9.01868i | 0.963220 | − | 0.556115i | 0.0660576 | − | 0.997816i | \(-0.478958\pi\) |
0.897163 | + | 0.441700i | \(0.145625\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 14.3968 | + | 8.70923i | 0.884388 | + | 0.535003i | ||||
\(266\) | 1.45448 | + | 0.839746i | 0.0891801 | + | 0.0514882i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 22.5139 | 1.37526 | ||||||||
\(269\) | 15.2173 | − | 26.3571i | 0.927816 | − | 1.60702i | 0.140846 | − | 0.990031i | \(-0.455018\pi\) |
0.786969 | − | 0.616992i | \(-0.211649\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −22.5848 | + | 13.0394i | −1.37193 | + | 0.792084i | −0.991171 | − | 0.132590i | \(-0.957671\pi\) |
−0.380759 | + | 0.924674i | \(0.624337\pi\) | |||||||
\(272\) | − | 4.96974i | − | 0.301335i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.22153 | −0.436268 | ||||||||
\(275\) | −10.6755 | − | 6.75997i | −0.643754 | − | 0.407642i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.38899 | + | 1.95664i | 0.203625 | + | 0.117563i | 0.598345 | − | 0.801238i | \(-0.295825\pi\) |
−0.394720 | + | 0.918801i | \(0.629159\pi\) | |||||||
\(278\) | 0.0851559 | 0.00510731 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.42646 | + | 4.40853i | 0.145009 | + | 0.263460i | ||||
\(281\) | − | 24.8074i | − | 1.47989i | −0.672669 | − | 0.739943i | \(-0.734852\pi\) | ||
0.672669 | − | 0.739943i | \(-0.265148\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −21.2962 | + | 12.2954i | −1.26593 | + | 0.730884i | −0.974215 | − | 0.225622i | \(-0.927559\pi\) |
−0.291713 | + | 0.956506i | \(0.594225\pi\) | |||||||
\(284\) | 16.4135 | − | 9.47632i | 0.973960 | − | 0.562316i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.30221 | − | 3.49644i | −0.313526 | − | 0.206749i | ||||
\(287\) | 1.46778i | 0.0866401i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.42205 | − | 2.46306i | −0.0836498 | − | 0.144886i | ||||
\(290\) | −0.481296 | − | 0.874443i | −0.0282626 | − | 0.0513491i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.61430 | + | 2.79605i | −0.0944697 | + | 0.163626i | ||||
\(293\) | 9.48407 | − | 16.4269i | 0.554065 | − | 0.959669i | −0.443910 | − | 0.896071i | \(-0.646409\pi\) |
0.997976 | − | 0.0635979i | \(-0.0202575\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.17682 | + | 5.05094i | −0.534295 | + | 0.294077i | ||||
\(296\) | 5.98722 | + | 10.3702i | 0.348000 | + | 0.602753i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.24765i | 0.535702i | ||||||||
\(299\) | −10.5818 | + | 5.29850i | −0.611963 | + | 0.306420i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.46265 | − | 1.42181i | 0.141945 | − | 0.0819520i | ||||
\(302\) | 9.90854 | − | 5.72070i | 0.570172 | − | 0.329189i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.46410i | 0.198680i | ||||||||
\(305\) | 3.71822 | + | 6.75546i | 0.212905 | + | 0.386816i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.36513 | 0.0779121 | 0.0389561 | − | 0.999241i | \(-0.487597\pi\) | ||||
0.0389561 | + | 0.999241i | \(0.487597\pi\) | |||||||
\(308\) | 3.04455 | + | 1.75777i | 0.173479 | + | 0.100158i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.0445283 | − | 2.17746i | 0.00252904 | − | 0.123671i | ||||
\(311\) | −29.5887 | −1.67782 | −0.838911 | − | 0.544268i | \(-0.816807\pi\) | ||||
−0.838911 | + | 0.544268i | \(0.816807\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.8582i | 0.726789i | 0.931635 | + | 0.363394i | \(0.118382\pi\) | ||||
−0.931635 | + | 0.363394i | \(0.881618\pi\) | |||||||
\(314\) | −11.8098 | + | 6.81839i | −0.666466 | + | 0.384784i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.97446 | + | 5.15191i | −0.167326 | + | 0.289818i | ||||
\(317\) | 17.7977 | 0.999620 | 0.499810 | − | 0.866135i | \(-0.333403\pi\) | ||||
0.499810 | + | 0.866135i | \(0.333403\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.40157 | − | 0.809197i | −0.0784728 | − | 0.0453063i | ||||
\(320\) | 1.63745 | − | 2.70679i | 0.0915365 | − | 0.151314i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.82034 | + | 1.05097i | −0.101443 | + | 0.0585683i | ||||
\(323\) | −4.93361 | − | 8.54526i | −0.274513 | − | 0.475471i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.40573 | + | 16.4364i | 0.410796 | + | 0.911727i | ||||
\(326\) | 2.57971 | 0.142877 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.38899 | − | 1.95664i | 0.187126 | − | 0.108037i | ||||
\(329\) | 0.258321 | − | 0.447425i | 0.0142417 | − | 0.0246674i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.9864 | + | 13.8485i | 1.31841 | + | 0.761185i | 0.983473 | − | 0.181055i | \(-0.0579512\pi\) |
0.334938 | + | 0.942240i | \(0.391285\pi\) | |||||||
\(332\) | −7.31575 | + | 12.6712i | −0.401504 | + | 0.695425i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 6.15591 | − | 10.6623i | 0.336836 | − | 0.583417i | ||||
\(335\) | 33.2415 | + | 0.679778i | 1.81618 | + | 0.0371402i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 8.42950i | − | 0.459184i | −0.973287 | − | 0.229592i | \(-0.926261\pi\) | ||
0.973287 | − | 0.229592i | \(-0.0737392\pi\) | |||||||
\(338\) | 3.56909 | + | 8.32901i | 0.194133 | + | 0.453039i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.260444 | − | 12.7359i | 0.0141246 | − | 0.690699i | ||||
\(341\) | −1.76563 | − | 3.05816i | −0.0956143 | − | 0.165609i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.0869 | −0.652633 | ||||||||
\(344\) | −6.56574 | − | 3.79073i | −0.354001 | − | 0.204382i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.84572i | 0.260507i | ||||||||
\(347\) | −18.0084 | − | 10.3971i | −0.966740 | − | 0.558148i | −0.0684995 | − | 0.997651i | \(-0.521821\pi\) |
−0.898241 | + | 0.439503i | \(0.855154\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.2763 | − | 10.5518i | 0.978306 | − | 0.564825i | 0.0765479 | − | 0.997066i | \(-0.475610\pi\) |
0.901758 | + | 0.432241i | \(0.142277\pi\) | |||||||
\(350\) | 1.48630 | + | 2.83615i | 0.0794460 | + | 0.151599i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 14.7072i | − | 0.783899i | ||||||
\(353\) | 8.91188 | + | 15.4358i | 0.474331 | + | 0.821566i | 0.999568 | − | 0.0293900i | \(-0.00935649\pi\) |
−0.525237 | + | 0.850956i | \(0.676023\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 24.5204 | − | 13.4961i | 1.30141 | − | 0.716297i | ||||
\(356\) | − | 18.2132i | − | 0.965296i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −7.93708 | + | 13.7474i | −0.419488 | + | 0.726574i | ||||
\(359\) | − | 20.0986i | − | 1.06076i | −0.847759 | − | 0.530381i | \(-0.822049\pi\) | ||
0.847759 | − | 0.530381i | \(-0.177951\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.06108 | − | 10.4981i | −0.319004 | − | 0.552532i | ||||
\(362\) | 0.336761 | + | 0.583287i | 0.0176998 | + | 0.0306569i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.24566 | − | 4.48490i | −0.117705 | − | 0.235073i | ||||
\(365\) | −2.46791 | + | 4.07958i | −0.129176 | + | 0.213535i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.7976 | − | 6.23399i | 0.563630 | − | 0.325412i | −0.190971 | − | 0.981596i | \(-0.561164\pi\) |
0.754601 | + | 0.656184i | \(0.227830\pi\) | |||||||
\(368\) | −3.75460 | − | 2.16772i | −0.195722 | − | 0.113000i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.67400 | + | 6.67511i | 0.191002 | + | 0.347023i | ||||
\(371\) | −5.98722 | − | 3.45672i | −0.310841 | − | 0.179464i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.2962 | − | 12.2954i | −1.10268 | − | 0.636630i | −0.165753 | − | 0.986167i | \(-0.553005\pi\) |
−0.936922 | + | 0.349537i | \(0.886339\pi\) | |||||||
\(374\) | 3.31381 | + | 5.73968i | 0.171353 | + | 0.296792i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.37743 | −0.0710356 | ||||||||
\(377\) | 1.03380 | + | 2.06464i | 0.0532434 | + | 0.106334i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.2763 | − | 10.5518i | 0.938789 | − | 0.542010i | 0.0492084 | − | 0.998789i | \(-0.484330\pi\) |
0.889580 | + | 0.456778i | \(0.150997\pi\) | |||||||
\(380\) | −0.181540 | + | 8.87739i | −0.00931279 | + | 0.455400i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 11.8441 | 0.605996 | ||||||||
\(383\) | 14.6760 | − | 25.4195i | 0.749907 | − | 1.29888i | −0.197960 | − | 0.980210i | \(-0.563431\pi\) |
0.947867 | − | 0.318667i | \(-0.103235\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.44216 | + | 2.68725i | 0.226393 | + | 0.136955i | ||||
\(386\) | 7.58822 | − | 13.1432i | 0.386230 | − | 0.668970i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.3382 | + | 17.9063i | 0.524844 | + | 0.909056i | ||||
\(389\) | −11.0048 | −0.557964 | −0.278982 | − | 0.960296i | \(-0.589997\pi\) | ||||
−0.278982 | + | 0.960296i | \(0.589997\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 12.3492 | 0.624524 | ||||||||
\(392\) | 7.53941 | + | 13.0586i | 0.380798 | + | 0.659561i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.13177 | + | 10.6205i | −0.308914 | + | 0.535055i | ||||
\(395\) | −4.54730 | + | 7.51691i | −0.228799 | + | 0.378217i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.38353 | − | 7.59249i | 0.220003 | − | 0.381056i | −0.734806 | − | 0.678278i | \(-0.762727\pi\) |
0.954809 | + | 0.297222i | \(0.0960600\pi\) | |||||||
\(398\) | −10.7123 | −0.536961 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.53328 | + | 5.57981i | −0.176664 | + | 0.278991i | ||||
\(401\) | 10.9111 | − | 6.29952i | 0.544873 | − | 0.314583i | −0.202178 | − | 0.979349i | \(-0.564802\pi\) |
0.747052 | + | 0.664766i | \(0.231469\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.298979 | + | 5.02926i | −0.0148932 | + | 0.250525i | ||||
\(404\) | 26.6979 | 1.32827 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.205057 | + | 0.355169i | 0.0101768 | + | 0.0176268i | ||||
\(407\) | 10.6990 | + | 6.17705i | 0.530328 | + | 0.306185i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −26.3424 | − | 15.2088i | −1.30255 | − | 0.752027i | −0.321708 | − | 0.946839i | \(-0.604257\pi\) |
−0.980841 | + | 0.194812i | \(0.937590\pi\) | |||||||
\(410\) | 2.18144 | − | 1.20067i | 0.107734 | − | 0.0592969i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −18.7242 | − | 10.8104i | −0.922475 | − | 0.532591i | ||||
\(413\) | 3.72731 | − | 2.15197i | 0.183409 | − | 0.105891i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.1842 | + | 18.4880i | −0.549010 | + | 0.907541i | ||||
\(416\) | −11.5515 | + | 17.5173i | −0.566358 | + | 0.858858i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.30985 | − | 4.00078i | −0.112979 | − | 0.195685i | ||||
\(419\) | 7.10339 | + | 12.3034i | 0.347023 | + | 0.601062i | 0.985719 | − | 0.168397i | \(-0.0538591\pi\) |
−0.638696 | + | 0.769459i | \(0.720526\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.23470i | 0.0601755i | 0.999547 | + | 0.0300878i | \(0.00957868\pi\) | ||||
−0.999547 | + | 0.0300878i | \(0.990421\pi\) | |||||||
\(422\) | −5.94454 | + | 10.2962i | −0.289376 | + | 0.501213i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 18.4321i | 0.895141i | ||||||||
\(425\) | 0.769084 | − | 18.7964i | 0.0373061 | − | 0.911761i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.58416 | − | 2.74384i | −0.0766626 | − | 0.132784i | ||||
\(428\) | 24.9687i | 1.20691i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.12763 | − | 2.49698i | −0.199052 | − | 0.120415i | ||||
\(431\) | −16.6009 | + | 9.58451i | −0.799635 | + | 0.461670i | −0.843344 | − | 0.537375i | \(-0.819416\pi\) |
0.0437084 | + | 0.999044i | \(0.486083\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.29264 | + | 3.63306i | 0.302405 | + | 0.174593i | 0.643523 | − | 0.765427i | \(-0.277472\pi\) |
−0.341118 | + | 0.940021i | \(0.610806\pi\) | |||||||
\(434\) | 0.894851i | 0.0429542i | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −15.8136 | − | 9.13000i | −0.757335 | − | 0.437247i | ||||
\(437\) | −8.60784 | −0.411769 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.789879 | + | 1.36811i | 0.0376989 | + | 0.0652963i | 0.884259 | − | 0.466996i | \(-0.154664\pi\) |
−0.846560 | + | 0.532293i | \(0.821331\pi\) | |||||||
\(440\) | 0.283001 | − | 13.8389i | 0.0134915 | − | 0.659744i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.561136 | − | 9.43912i | 0.0266905 | − | 0.448973i | ||||
\(443\) | 2.19488i | 0.104282i | 0.998640 | + | 0.0521408i | \(0.0166045\pi\) | ||||
−0.998640 | + | 0.0521408i | \(0.983396\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.549922 | − | 26.8915i | 0.0260688 | − | 1.27478i | ||||
\(446\) | 2.34415 | − | 4.06019i | 0.110999 | − | 0.192256i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.649911 | + | 1.12568i | −0.0307054 | + | 0.0531833i | ||||
\(449\) | −4.47085 | − | 2.58125i | −0.210993 | − | 0.121817i | 0.390780 | − | 0.920484i | \(-0.372205\pi\) |
−0.601773 | + | 0.798667i | \(0.705539\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.01867 | − | 3.49644i | 0.0950556 | − | 0.164641i | ||||
\(452\) | −7.16422 | + | 4.13626i | −0.336976 | + | 0.194553i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.03374 | 0.330110 | ||||||||
\(455\) | −3.18027 | − | 6.68969i | −0.149094 | − | 0.313618i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.82780 | − | 11.8261i | −0.319391 | − | 0.553201i | 0.660970 | − | 0.750412i | \(-0.270145\pi\) |
−0.980361 | + | 0.197211i | \(0.936812\pi\) | |||||||
\(458\) | −6.53453 | + | 3.77271i | −0.305339 | + | 0.176287i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.50825 | − | 5.75194i | −0.443324 | − | 0.268186i | ||||
\(461\) | −0.681269 | − | 0.393331i | −0.0317299 | − | 0.0183193i | 0.484051 | − | 0.875040i | \(-0.339165\pi\) |
−0.515781 | + | 0.856720i | \(0.672498\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −26.4837 | −1.23080 | −0.615401 | − | 0.788214i | \(-0.711006\pi\) | ||||
−0.615401 | + | 0.788214i | \(0.711006\pi\) | |||||||
\(464\) | −0.422948 | + | 0.732568i | −0.0196349 | + | 0.0340086i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −15.3541 | + | 8.86469i | −0.711265 | + | 0.410649i | ||||
\(467\) | − | 7.58353i | − | 0.350924i | −0.984486 | − | 0.175462i | \(-0.943858\pi\) | ||
0.984486 | − | 0.175462i | \(-0.0561419\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.6610 | −0.630805 | ||||||||
\(470\) | −0.876286 | − | 0.0179198i | −0.0404200 | − | 0.000826577i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.93748 | − | 5.73740i | −0.457409 | − | 0.264085i | ||||
\(473\) | −7.82184 | −0.359649 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.536081 | + | 13.1018i | −0.0245971 | + | 0.601154i | ||||
\(476\) | 5.23395i | 0.239898i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 7.62762 | − | 4.40381i | 0.348879 | − | 0.201426i | ||||
\(479\) | −3.36663 | + | 1.94373i | −0.153825 | + | 0.0888112i | −0.574937 | − | 0.818198i | \(-0.694973\pi\) |
0.421112 | + | 0.907009i | \(0.361640\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.89157 | − | 15.7606i | −0.359825 | − | 0.718619i | ||||
\(482\) | − | 7.01052i | − | 0.319321i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.49273 | + | 6.04959i | 0.158761 | + | 0.274981i | ||||
\(485\) | 14.7236 | + | 26.7506i | 0.668563 | + | 1.21468i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 18.7933 | − | 32.5510i | 0.851606 | − | 1.47502i | −0.0281527 | − | 0.999604i | \(-0.508962\pi\) |
0.879758 | − | 0.475421i | \(-0.157704\pi\) | |||||||
\(488\) | −4.22355 | + | 7.31541i | −0.191191 | + | 0.331153i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.62649 | + | 8.40565i | 0.209003 | + | 0.379729i | ||||
\(491\) | 11.5424 | + | 19.9921i | 0.520903 | + | 0.902230i | 0.999705 | + | 0.0243068i | \(0.00773784\pi\) |
−0.478802 | + | 0.877923i | \(0.658929\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 2.40947i | − | 0.108517i | ||||||
\(494\) | −0.391134 | + | 6.57943i | −0.0175979 | + | 0.296023i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.59843 | + | 0.922854i | −0.0717716 | + | 0.0414374i | ||||
\(497\) | −9.95934 | + | 5.75003i | −0.446738 | + | 0.257924i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.79049i | 0.0801532i | 0.999197 | + | 0.0400766i | \(0.0127602\pi\) | ||||
−0.999197 | + | 0.0400766i | \(0.987240\pi\) | |||||||
\(500\) | −9.34709 | + | 14.1141i | −0.418014 | + | 0.631203i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.0459 | −0.448371 | ||||||||
\(503\) | −28.1580 | − | 16.2570i | −1.25550 | − | 0.724866i | −0.283307 | − | 0.959029i | \(-0.591431\pi\) |
−0.972197 | + | 0.234164i | \(0.924765\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 39.4190 | + | 0.806106i | 1.75412 | + | 0.0358712i | ||||
\(506\) | 5.78172 | 0.257029 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 7.81926i | 0.346923i | ||||||||
\(509\) | −2.40603 | + | 1.38912i | −0.106646 | + | 0.0615718i | −0.552374 | − | 0.833596i | \(-0.686278\pi\) |
0.445729 | + | 0.895168i | \(0.352945\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.979522 | − | 1.69658i | 0.0433315 | − | 0.0750524i | ||||
\(512\) | −14.1581 | −0.625706 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.6354 | + | 7.87242i | 0.601433 | + | 0.347237i | ||||
\(515\) | −27.3196 | − | 16.5268i | −1.20384 | − | 0.728257i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.23071 | + | 0.710553i | −0.0541267 | + | 0.0312501i | ||||
\(518\) | −1.56531 | − | 2.71120i | −0.0687760 | − | 0.119123i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −11.2065 | + | 16.2608i | −0.491439 | + | 0.713083i | ||||
\(521\) | 2.64334 | 0.115807 | 0.0579035 | − | 0.998322i | \(-0.481558\pi\) | ||||
0.0579035 | + | 0.998322i | \(0.481558\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −17.6514 | + | 10.1910i | −0.771840 | + | 0.445622i | −0.833531 | − | 0.552473i | \(-0.813684\pi\) |
0.0616905 | + | 0.998095i | \(0.480351\pi\) | |||||||
\(524\) | −11.1603 | + | 19.3303i | −0.487542 | + | 0.844448i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 10.8883 | + | 6.28637i | 0.474753 | + | 0.274099i | ||||
\(527\) | 2.62868 | − | 4.55300i | 0.114507 | − | 0.198332i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.11350 | + | 10.5889i | −0.265804 | + | 0.460386i | ||||
\(530\) | −0.239793 | + | 11.7260i | −0.0104159 | + | 0.509345i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 3.64826i | − | 0.158172i | ||||||
\(533\) | −5.15058 | + | 2.57898i | −0.223097 | + | 0.111708i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.753895 | + | 36.8658i | −0.0325937 | + | 1.59385i | ||||
\(536\) | 18.2109 | + | 31.5422i | 0.786592 | + | 1.36242i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 21.2141 | 0.914605 | ||||||||
\(539\) | 13.4727 | + | 7.77846i | 0.580310 | + | 0.335042i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 21.5030i | − | 0.924487i | −0.886753 | − | 0.462244i | \(-0.847045\pi\) | ||
0.886753 | − | 0.462244i | \(-0.152955\pi\) | |||||||
\(542\) | −15.7425 | − | 9.08893i | −0.676198 | − | 0.390403i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 18.9627 | − | 10.9481i | 0.813017 | − | 0.469396i | ||||
\(545\) | −23.0729 | − | 13.9578i | −0.988334 | − | 0.597885i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 29.4024i | − | 1.25716i | −0.777747 | − | 0.628578i | \(-0.783637\pi\) | ||
0.777747 | − | 0.628578i | \(-0.216363\pi\) | |||||||
\(548\) | 7.84345 | + | 13.5853i | 0.335056 | + | 0.580333i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.360076 | − | 8.80026i | 0.0153537 | − | 0.375244i | ||||
\(551\) | 1.67949i | 0.0715488i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.80484 | − | 3.12607i | 0.0767495 | − | 0.132934i | ||||
\(554\) | 2.72770i | 0.115889i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.0924896 | − | 0.160197i | −0.00392243 | − | 0.00679385i | ||||
\(557\) | −6.34739 | − | 10.9940i | −0.268948 | − | 0.465831i | 0.699643 | − | 0.714493i | \(-0.253343\pi\) |
−0.968590 | + | 0.248662i | \(0.920009\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.31635 | + | 6.14349i | 0.394040 | + | 0.259842i | ||||
\(560\) | 1.40456 | − | 2.32181i | 0.0593536 | − | 0.0981145i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.9751 | − | 8.64587i | 0.631686 | − | 0.364704i | ||||
\(563\) | −35.8124 | − | 20.6763i | −1.50931 | − | 0.871403i | −0.999941 | − | 0.0108570i | \(-0.996544\pi\) |
−0.509373 | − | 0.860546i | \(-0.670123\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.7027 | + | 5.89082i | −0.450268 | + | 0.247828i | ||||
\(566\) | −14.8443 | − | 8.57035i | −0.623952 | − | 0.360239i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 26.5528 | + | 15.3303i | 1.11413 | + | 0.643244i | ||||
\(569\) | 17.2503 | + | 29.8784i | 0.723171 | + | 1.25257i | 0.959723 | + | 0.280950i | \(0.0906494\pi\) |
−0.236552 | + | 0.971619i | \(0.576017\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.7411 | 0.951687 | 0.475843 | − | 0.879530i | \(-0.342143\pi\) | ||||
0.475843 | + | 0.879530i | \(0.342143\pi\) | |||||||
\(572\) | −0.818727 | + | 13.7722i | −0.0342327 | + | 0.575843i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.886028 | + | 0.511548i | −0.0369821 | + | 0.0213516i | ||||
\(575\) | −13.8651 | − | 8.77974i | −0.578215 | − | 0.366141i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −27.0080 | −1.12436 | −0.562180 | − | 0.827015i | \(-0.690037\pi\) | ||||
−0.562180 | + | 0.827015i | \(0.690037\pi\) | |||||||
\(578\) | 0.991222 | − | 1.71685i | 0.0412294 | − | 0.0714114i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.12227 | + | 1.85517i | −0.0465998 | + | 0.0770318i | ||||
\(581\) | 4.43904 | − | 7.68864i | 0.184162 | − | 0.318978i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.50825 | + | 16.4688i | 0.393791 | + | 0.682067i | ||||
\(584\) | −5.22305 | −0.216132 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 13.2215 | 0.546176 | ||||||||
\(587\) | −20.3047 | − | 35.1688i | −0.838065 | − | 1.45157i | −0.891510 | − | 0.453001i | \(-0.850353\pi\) |
0.0534448 | − | 0.998571i | \(-0.482980\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.83229 | + | 3.17362i | −0.0754982 | + | 0.130767i | ||||
\(590\) | −6.24732 | − | 3.77927i | −0.257198 | − | 0.155590i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.22860 | − | 5.59210i | 0.132695 | − | 0.229834i | ||||
\(593\) | 12.6121 | 0.517919 | 0.258959 | − | 0.965888i | \(-0.416620\pi\) | ||||
0.258959 | + | 0.965888i | \(0.416620\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.158032 | + | 7.72785i | −0.00647868 | + | 0.316811i | ||||
\(596\) | 17.3968 | − | 10.0441i | 0.712602 | − | 0.411421i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.88643 | − | 4.54113i | −0.281607 | − | 0.185700i | ||||
\(599\) | −42.4090 | −1.73279 | −0.866393 | − | 0.499362i | \(-0.833568\pi\) | ||||
−0.866393 | + | 0.499362i | \(0.833568\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.5921 | + | 33.9345i | 0.799178 | + | 1.38422i | 0.920152 | + | 0.391561i | \(0.128065\pi\) |
−0.120974 | + | 0.992656i | \(0.538602\pi\) | |||||||
\(602\) | 1.71657 | + | 0.991059i | 0.0699620 | + | 0.0403926i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −21.5237 | − | 12.4267i | −0.875788 | − | 0.505637i | ||||
\(605\) | 4.97431 | + | 9.03759i | 0.202234 | + | 0.367430i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.3554 | + | 5.97868i | 0.420312 | + | 0.242667i | 0.695211 | − | 0.718806i | \(-0.255311\pi\) |
−0.274899 | + | 0.961473i | \(0.588644\pi\) | |||||||
\(608\) | −13.2177 | + | 7.63125i | −0.536049 | + | 0.309488i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.78208 | + | 4.59892i | −0.112643 | + | 0.186205i | ||||
\(611\) | 2.02395 | + | 0.120320i | 0.0818803 | + | 0.00486762i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.28934 | + | 2.23321i | 0.0520761 | + | 0.0901985i | 0.890888 | − | 0.454222i | \(-0.150083\pi\) |
−0.838812 | + | 0.544421i | \(0.816749\pi\) | |||||||
\(614\) | 0.475775 | + | 0.824066i | 0.0192007 | + | 0.0332566i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.68725i | 0.229146i | ||||||||
\(617\) | −3.57225 | + | 6.18733i | −0.143814 | + | 0.249092i | −0.928930 | − | 0.370256i | \(-0.879270\pi\) |
0.785116 | + | 0.619349i | \(0.212603\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 5.03352i | − | 0.202314i | −0.994870 | − | 0.101157i | \(-0.967745\pi\) | ||
0.994870 | − | 0.101157i | \(-0.0322545\pi\) | |||||||
\(620\) | −4.14463 | + | 2.28121i | −0.166452 | + | 0.0916157i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.3122 | − | 17.8613i | −0.413483 | − | 0.716174i | ||||
\(623\) | 11.0514i | 0.442763i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −14.2270 | + | 20.5571i | −0.569080 | + | 0.822282i | ||||
\(626\) | −7.76190 | + | 4.48133i | −0.310228 | + | 0.179110i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 25.6538 | + | 14.8112i | 1.02370 | + | 0.591031i | ||||
\(629\) | 18.3928i | 0.733369i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.0693 | − | 7.54555i | −0.520280 | − | 0.300384i | 0.216769 | − | 0.976223i | \(-0.430448\pi\) |
−0.737049 | + | 0.675839i | \(0.763781\pi\) | |||||||
\(632\) | −9.62384 | −0.382816 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 6.20285 | + | 10.7437i | 0.246347 | + | 0.426685i | ||||
\(635\) | −0.236092 | + | 11.5450i | −0.00936902 | + | 0.458150i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.93748 | − | 19.8465i | −0.393737 | − | 0.786347i | ||||
\(638\) | − | 1.12808i | − | 0.0446612i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −23.8163 | − | 0.487037i | −0.941424 | − | 0.0192518i | ||||
\(641\) | −6.68950 | + | 11.5865i | −0.264219 | + | 0.457641i | −0.967359 | − | 0.253411i | \(-0.918448\pi\) |
0.703140 | + | 0.711052i | \(0.251781\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.416240 | + | 0.720950i | −0.0164149 | + | 0.0284315i | −0.874116 | − | 0.485717i | \(-0.838559\pi\) |
0.857701 | + | 0.514148i | \(0.171892\pi\) | |||||||
\(644\) | 3.95421 | + | 2.28296i | 0.155818 | + | 0.0899614i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.43892 | − | 5.95638i | 0.135302 | − | 0.234351i | ||||
\(647\) | 24.7897 | − | 14.3124i | 0.974585 | − | 0.562677i | 0.0739539 | − | 0.997262i | \(-0.476438\pi\) |
0.900631 | + | 0.434585i | \(0.143105\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.8386 | −0.464707 | ||||||||
\(650\) | −7.34084 | + | 10.1989i | −0.287932 | + | 0.400034i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.80188 | − | 4.85300i | −0.109730 | − | 0.190058i | ||||
\(653\) | 12.4546 | − | 7.19065i | 0.487385 | − | 0.281392i | −0.236104 | − | 0.971728i | \(-0.575871\pi\) |
0.723489 | + | 0.690336i | \(0.242537\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.0617 | + | 28.2039i | −0.666657 | + | 1.10202i | ||||
\(656\) | −1.82751 | − | 1.05511i | −0.0713523 | − | 0.0411953i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.360120 | 0.0140389 | ||||||||
\(659\) | 4.50092 | − | 7.79582i | 0.175331 | − | 0.303682i | −0.764945 | − | 0.644096i | \(-0.777234\pi\) |
0.940276 | + | 0.340414i | \(0.110567\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.7257 | + | 18.3168i | −1.23399 | + | 0.712442i | −0.967858 | − | 0.251496i | \(-0.919077\pi\) |
−0.266127 | + | 0.963938i | \(0.585744\pi\) | |||||||
\(662\) | 19.3060i | 0.750347i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −23.6700 | −0.918576 | ||||||||
\(665\) | 0.110154 | − | 5.38661i | 0.00427161 | − | 0.208884i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.82034 | − | 1.05097i | −0.0704837 | − | 0.0406938i | ||||
\(668\) | −26.7442 | −1.03477 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.1749 | + | 20.3032i | 0.431726 | + | 0.784383i | ||||
\(671\) | 8.71493i | 0.336436i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.0295 | − | 10.9867i | 0.733533 | − | 0.423505i | −0.0861805 | − | 0.996280i | \(-0.527466\pi\) |
0.819713 | + | 0.572774i | \(0.194133\pi\) | |||||||
\(674\) | 5.08849 | − | 2.93784i | 0.196001 | − | 0.113161i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.7922 | − | 15.7606i | 0.453547 | − | 0.606175i | ||||
\(677\) | 26.6767i | 1.02527i | 0.858607 | + | 0.512635i | \(0.171331\pi\) | ||||
−0.858607 | + | 0.512635i | \(0.828669\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.27301 | − | 10.8652i | −0.240736 | − | 0.416967i | ||||
\(680\) | 18.0537 | − | 9.93681i | 0.692329 | − | 0.381059i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.23071 | − | 2.13166i | 0.0471264 | − | 0.0816254i | ||||
\(683\) | 1.85759 | − | 3.21745i | 0.0710788 | − | 0.123112i | −0.828296 | − | 0.560291i | \(-0.810689\pi\) |
0.899374 | + | 0.437179i | \(0.144022\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.1706 | + | 20.2953i | 0.426805 | + | 0.775442i | ||||
\(686\) | −4.21253 | − | 7.29632i | −0.160835 | − | 0.278575i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.08829i | 0.155865i | ||||||||
\(689\) | 1.61006 | − | 27.0835i | 0.0613383 | − | 1.03180i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −35.2016 | + | 20.3236i | −1.33913 | + | 0.773148i | −0.986679 | − | 0.162682i | \(-0.947986\pi\) |
−0.352453 | + | 0.935830i | \(0.614652\pi\) | |||||||
\(692\) | 9.11584 | − | 5.26303i | 0.346532 | − | 0.200070i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 14.4944i | − | 0.550201i | ||||||
\(695\) | −0.131723 | − | 0.239321i | −0.00499652 | − | 0.00907795i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 6.01081 | 0.227676 | ||||||||
\(698\) | 12.7393 | + | 7.35502i | 0.482188 | + | 0.278392i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.72112 | − | 5.87646i | 0.140645 | − | 0.222109i | ||||
\(701\) | 4.25340 | 0.160649 | 0.0803243 | − | 0.996769i | \(-0.474404\pi\) | ||||
0.0803243 | + | 0.996769i | \(0.474404\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 12.8205i | − | 0.483534i | ||||||
\(704\) | 3.09636 | − | 1.78768i | 0.116698 | − | 0.0673758i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.21193 | + | 10.7594i | −0.233789 | + | 0.404934i | ||||
\(707\) | −16.1997 | −0.609252 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 10.6408 | + | 6.14349i | 0.399625 | + | 0.230724i | 0.686322 | − | 0.727298i | \(-0.259224\pi\) |
−0.286697 | + | 0.958021i | \(0.592557\pi\) | |||||||
\(710\) | 16.6928 | + | 10.0982i | 0.626468 | + | 0.378977i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 25.5168 | − | 14.7321i | 0.956283 | − | 0.552110i | ||||
\(713\) | −2.29317 | − | 3.97189i | −0.0858800 | − | 0.148749i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.62467 | + | 20.3097i | −0.0607592 | + | 0.759539i | ||||
\(716\) | 34.4825 | 1.28867 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.1326 | − | 7.00475i | 0.452784 | − | 0.261415i | ||||
\(719\) | 6.73036 | − | 11.6573i | 0.251000 | − | 0.434745i | −0.712801 | − | 0.701366i | \(-0.752574\pi\) |
0.963801 | + | 0.266621i | \(0.0859072\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.3614 | + | 6.55953i | 0.423122 | + | 0.244290i | ||||
\(722\) | 4.22481 | − | 7.31759i | 0.157231 | − | 0.272332i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.731527 | − | 1.26704i | 0.0271870 | − | 0.0470892i | ||||
\(725\) | −1.71303 | + | 2.70525i | −0.0636204 | + | 0.100470i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 24.9737i | − | 0.926222i | −0.886300 | − | 0.463111i | \(-0.846733\pi\) | ||
0.886300 | − | 0.463111i | \(-0.153267\pi\) | |||||||
\(728\) | 4.46693 | − | 6.77391i | 0.165555 | − | 0.251058i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.32277 | − | 0.0679496i | −0.122981 | − | 0.00251493i | ||||
\(731\) | −5.82259 | − | 10.0850i | −0.215356 | − | 0.373008i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −37.2918 | −1.37740 | −0.688702 | − | 0.725045i | \(-0.741819\pi\) | ||||
−0.688702 | + | 0.725045i | \(0.741819\pi\) | |||||||
\(734\) | 7.52634 | + | 4.34533i | 0.277802 | + | 0.160389i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 19.1015i | − | 0.704092i | ||||||
\(737\) | 32.5423 | + | 18.7883i | 1.19871 | + | 0.692076i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.85916 | − | 3.38279i | 0.215533 | − | 0.124438i | −0.388347 | − | 0.921513i | \(-0.626954\pi\) |
0.603880 | + | 0.797075i | \(0.293621\pi\) | |||||||
\(740\) | 8.56693 | − | 14.1616i | 0.314927 | − | 0.520589i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 4.81894i | − | 0.176909i | ||||||
\(743\) | 14.1613 | + | 24.5281i | 0.519527 | + | 0.899847i | 0.999742 | + | 0.0226967i | \(0.00722519\pi\) |
−0.480215 | + | 0.877151i | \(0.659441\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 25.9894 | − | 14.3046i | 0.952179 | − | 0.524081i | ||||
\(746\) | − | 17.1407i | − | 0.627566i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 7.19839 | − | 12.4680i | 0.263199 | − | 0.455875i | ||||
\(749\) | − | 15.1504i | − | 0.553585i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.9882 | − | 31.1565i | −0.656399 | − | 1.13692i | −0.981541 | − | 0.191251i | \(-0.938746\pi\) |
0.325143 | − | 0.945665i | \(-0.394588\pi\) | |||||||
\(752\) | 0.371389 | + | 0.643265i | 0.0135432 | + | 0.0234575i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.886028 | + | 1.34362i | −0.0322672 | + | 0.0489319i | ||||
\(755\) | −31.4043 | − | 18.9978i | −1.14292 | − | 0.691400i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28.4531 | + | 16.4274i | −1.03415 | + | 0.597065i | −0.918170 | − | 0.396187i | \(-0.870333\pi\) |
−0.115977 | + | 0.993252i | \(0.537000\pi\) | |||||||
\(758\) | 12.7393 | + | 7.35502i | 0.462711 | + | 0.267146i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −12.5841 | + | 6.92634i | −0.456475 | + | 0.251245i | ||||
\(761\) | 25.1678 | + | 14.5306i | 0.912332 | + | 0.526735i | 0.881181 | − | 0.472780i | \(-0.156749\pi\) |
0.0311509 | + | 0.999515i | \(0.490083\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.59536 | + | 5.53989i | 0.347376 | + | 0.200557i | ||||
\(764\) | −12.8641 | − | 22.2813i | −0.465407 | − | 0.806108i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 20.4594 | 0.739230 | ||||||||
\(767\) | 14.1006 | + | 9.29839i | 0.509144 | + | 0.335746i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.23386 | + | 1.86707i | −0.116616 | + | 0.0673282i | −0.557173 | − | 0.830396i | \(-0.688114\pi\) |
0.440557 | + | 0.897724i | \(0.354781\pi\) | |||||||
\(770\) | −0.0739886 | + | 3.61808i | −0.00266636 | + | 0.130387i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −32.9669 | −1.18650 | ||||||||
\(773\) | 14.6296 | − | 25.3392i | 0.526190 | − | 0.911387i | −0.473345 | − | 0.880877i | \(-0.656954\pi\) |
0.999534 | − | 0.0305100i | \(-0.00971313\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.18836 | + | 3.24304i | −0.222293 | + | 0.116493i | ||||
\(776\) | −16.7246 | + | 28.9679i | −0.600379 | + | 1.03989i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.83538 | − | 6.64307i | −0.137505 | − | 0.238166i | ||||
\(779\) | −4.18977 | −0.150114 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.6327 | 1.13191 | ||||||||
\(782\) | 4.30392 | + | 7.45461i | 0.153908 | + | 0.266576i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.06562 | − | 7.04186i | 0.145201 | − | 0.251495i | ||||
\(785\) | 37.4302 | + | 22.6431i | 1.33594 | + | 0.808167i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.2810 | − | 47.2521i | 0.972464 | − | 1.68436i | 0.284402 | − | 0.958705i | \(-0.408205\pi\) |
0.688062 | − | 0.725652i | \(-0.258462\pi\) | |||||||
\(788\) | 26.6394 | 0.948988 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.12243 | − | 0.125202i | −0.217826 | − | 0.00445448i | ||||
\(791\) | 4.34709 | − | 2.50980i | 0.154565 | − | 0.0892381i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.84495 | − | 10.3801i | 0.243071 | − | 0.368608i | ||||
\(794\) | 6.11097 | 0.216870 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.6349 | + | 20.1522i | 0.412388 | + | 0.714277i | ||||
\(797\) | −2.87205 | − | 1.65818i | −0.101733 | − | 0.0587358i | 0.448270 | − | 0.893898i | \(-0.352040\pi\) |
−0.550003 | + | 0.835162i | \(0.685374\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.83229 | − | 1.05787i | −0.0648217 | − | 0.0374248i | ||||
\(800\) | −29.0741 | − | 1.18961i | −1.02792 | − | 0.0420591i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 7.60545 | + | 4.39101i | 0.268558 | + | 0.155052i | ||||
\(803\) | −4.66671 | + | 2.69433i | −0.164685 | + | 0.0950808i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.76940 | + | 3.49015i | 0.203345 | + | 0.123012i | ||||
\(806\) | −3.14013 | + | 1.57231i | −0.110606 | + | 0.0553824i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 21.5952 | + | 37.4040i | 0.759716 | + | 1.31587i | ||||
\(809\) | −16.0223 | − | 27.7515i | −0.563315 | − | 0.975691i | −0.997204 | − | 0.0747244i | \(-0.976192\pi\) |
0.433889 | − | 0.900966i | \(-0.357141\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.393159i | 0.0138057i | 0.999976 | + | 0.00690283i | \(0.00219726\pi\) | ||||
−0.999976 | + | 0.00690283i | \(0.997803\pi\) | |||||||
\(812\) | 0.445434 | − | 0.771514i | 0.0156317 | − | 0.0270748i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 8.61128i | 0.301825i | ||||||||
\(815\) | −3.99040 | − | 7.24998i | −0.139778 | − | 0.253956i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.05857 | + | 7.02965i | 0.141991 | + | 0.245936i | ||||
\(818\) | − | 21.2022i | − | 0.741319i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.62803 | − | 2.79969i | −0.161618 | − | 0.0977695i | ||||
\(821\) | 33.7484 | − | 19.4847i | 1.17783 | − | 0.680019i | 0.222317 | − | 0.974974i | \(-0.428638\pi\) |
0.955511 | + | 0.294955i | \(0.0953047\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −39.6498 | − | 22.8918i | −1.38211 | − | 0.797959i | −0.389696 | − | 0.920943i | \(-0.627420\pi\) |
−0.992409 | + | 0.122985i | \(0.960753\pi\) | |||||||
\(824\) | − | 34.9770i | − | 1.21848i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.59808 | + | 1.50000i | 0.0903988 | + | 0.0521918i | ||||
\(827\) | −8.69681 | −0.302418 | −0.151209 | − | 0.988502i | \(-0.548317\pi\) | ||||
−0.151209 | + | 0.988502i | \(0.548317\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.2197 | + | 28.0934i | 0.563334 | + | 0.975724i | 0.997203 | + | 0.0747472i | \(0.0238150\pi\) |
−0.433868 | + | 0.900976i | \(0.642852\pi\) | |||||||
\(830\) | −15.0583 | − | 0.307937i | −0.522680 | − | 0.0106886i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.09207 | − | 0.302713i | −0.176536 | − | 0.0104947i | ||||
\(833\) | 23.1612i | 0.802488i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −39.4875 | − | 0.807506i | −1.36652 | − | 0.0279449i | ||||
\(836\) | −5.01756 | + | 8.69067i | −0.173536 | + | 0.300573i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.95134 | + | 8.57597i | −0.171041 | + | 0.296252i | ||||
\(839\) | −11.9245 | − | 6.88462i | −0.411680 | − | 0.237683i | 0.279831 | − | 0.960049i | \(-0.409721\pi\) |
−0.691511 | + | 0.722366i | \(0.743055\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.2949 | − | 24.7596i | 0.492929 | − | 0.853778i | ||||
\(842\) | −0.745330 | + | 0.430316i | −0.0256858 | + | 0.0148297i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 25.8259 | 0.888966 | ||||||||
\(845\) | 17.8869 | − | 22.9142i | 0.615328 | − | 0.788271i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.11931 | − | 3.67076i | −0.0728205 | − | 0.126129i | ||||
\(848\) | 8.60784 | − | 4.96974i | 0.295595 | − | 0.170662i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 11.6146 | − | 6.08666i | 0.398377 | − | 0.208771i | ||||
\(851\) | 13.8956 | + | 8.02265i | 0.476336 | + | 0.275013i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 23.9310 | 0.819382 | 0.409691 | − | 0.912224i | \(-0.365636\pi\) | ||||
0.409691 | + | 0.912224i | \(0.365636\pi\) | |||||||
\(854\) | 1.10422 | − | 1.91256i | 0.0377856 | − | 0.0654465i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −34.9813 | + | 20.1965i | −1.19564 | + | 0.690301i | ||||
\(857\) | − | 9.17825i | − | 0.313523i | −0.987636 | − | 0.156761i | \(-0.949895\pi\) | ||
0.987636 | − | 0.156761i | \(-0.0501054\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.15591 | 0.175917 | 0.0879586 | − | 0.996124i | \(-0.471966\pi\) | ||||
0.0879586 | + | 0.996124i | \(0.471966\pi\) | |||||||
\(860\) | −0.214251 | + | 10.4770i | −0.00730590 | + | 0.357262i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11.5714 | − | 6.68077i | −0.394125 | − | 0.227548i | ||||
\(863\) | 37.2329 | 1.26742 | 0.633711 | − | 0.773569i | \(-0.281531\pi\) | ||||
0.633711 | + | 0.773569i | \(0.281531\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 13.6183 | − | 7.49555i | 0.463037 | − | 0.254856i | ||||
\(866\) | 5.06476i | 0.172108i | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.68341 | − | 0.971916i | 0.0571386 | − | 0.0329890i | ||||
\(869\) | −8.59874 | + | 4.96449i | −0.291692 | + | 0.168409i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −24.0033 | − | 47.9378i | −0.813319 | − | 1.62431i | ||||
\(872\) | − | 29.5400i | − | 1.00035i | ||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.00000 | − | 5.19615i | −0.101477 | − | 0.175762i | ||||
\(875\) | 5.67161 | − | 8.56414i | 0.191735 | − | 0.289521i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.2494 | + | 17.7526i | −0.346099 | + | 0.599461i | −0.985553 | − | 0.169368i | \(-0.945827\pi\) |
0.639454 | + | 0.768830i | \(0.279161\pi\) | |||||||
\(878\) | −0.550576 | + | 0.953626i | −0.0185810 | + | 0.0321833i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −6.53911 | + | 3.59914i | −0.220433 | + | 0.121327i | ||||
\(881\) | −7.69097 | − | 13.3211i | −0.259115 | − | 0.448801i | 0.706890 | − | 0.707324i | \(-0.250098\pi\) |
−0.966005 | + | 0.258523i | \(0.916764\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 40.9768i | 1.37898i | 0.724296 | + | 0.689490i | \(0.242165\pi\) | ||||
−0.724296 | + | 0.689490i | \(0.757835\pi\) | |||||||
\(884\) | −18.3665 | + | 9.19641i | −0.617732 | + | 0.309309i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.32494 | + | 0.764957i | −0.0445124 | + | 0.0256992i | ||||
\(887\) | 10.4226 | − | 6.01748i | 0.349956 | − | 0.202047i | −0.314710 | − | 0.949188i | \(-0.601907\pi\) |
0.664666 | + | 0.747141i | \(0.268574\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 4.74456i | − | 0.159127i | ||||||
\(890\) | 16.4248 | − | 9.04024i | 0.550560 | − | 0.303029i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.1841 | −0.340990 | ||||||||
\(893\) | 1.27718 | + | 0.737378i | 0.0427391 | + | 0.0246754i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 50.9129 | + | 1.04115i | 1.70183 | + | 0.0348019i | ||||
\(896\) | 9.78760 | 0.326981 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | − | 3.59846i | − | 0.120082i | ||||||
\(899\) | −0.774964 | + | 0.447425i | −0.0258465 | + | 0.0149225i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.1559 | + | 24.5187i | −0.471602 | + | 0.816838i | ||||
\(902\) | 2.81419 | 0.0937022 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.5899 | − | 6.69142i | −0.385474 | − | 0.222553i | ||||
\(905\) | 1.11834 | − | 1.84868i | 0.0371750 | − | 0.0614522i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 17.4282 | − | 10.0622i | 0.578693 | − | 0.334109i | −0.181921 | − | 0.983313i | \(-0.558231\pi\) |
0.760614 | + | 0.649205i | \(0.224898\pi\) | |||||||
\(908\) | −7.63949 | − | 13.2320i | −0.253525 | − | 0.439119i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 2.92987 | − | 4.25127i | 0.0971242 | − | 0.140928i | ||||
\(911\) | −7.06252 | −0.233992 | −0.116996 | − | 0.993132i | \(-0.537326\pi\) | ||||
−0.116996 | + | 0.993132i | \(0.537326\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −21.1488 | + | 12.2103i | −0.699923 | + | 0.404101i | ||||
\(914\) | 4.75924 | − | 8.24324i | 0.157422 | − | 0.272662i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.1946 | + | 8.19524i | 0.469002 | + | 0.270778i | ||||
\(917\) | 6.77186 | − | 11.7292i | 0.223627 | − | 0.387333i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.26160 | + | 3.91721i | −0.0746035 | + | 0.129217i | −0.900914 | − | 0.433998i | \(-0.857102\pi\) |
0.826310 | + | 0.563215i | \(0.190436\pi\) | |||||||
\(920\) | 0.367557 | − | 17.9737i | 0.0121180 | − | 0.592577i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | − | 0.548334i | − | 0.0180584i | ||||||
\(923\) | −37.6767 | − | 24.8452i | −1.24014 | − | 0.817790i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 13.0765 | − | 20.6507i | 0.429954 | − | 0.678990i | ||||
\(926\) | −9.23009 | − | 15.9870i | −0.303320 | − | 0.525365i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.72694 | −0.122343 | ||||||||
\(929\) | 5.95715 | + | 3.43936i | 0.195448 | + | 0.112842i | 0.594530 | − | 0.804073i | \(-0.297338\pi\) |
−0.399083 | + | 0.916915i | \(0.630671\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 16.1442i | − | 0.529106i | ||||||
\(932\) | 33.3528 | + | 19.2563i | 1.09251 | + | 0.630760i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 4.57782 | − | 2.64301i | 0.149791 | − | 0.0864819i | ||||
\(935\) | 11.0048 | − | 18.1914i | 0.359895 | − | 0.594924i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 11.5744i | − | 0.378120i | −0.981966 | − | 0.189060i | \(-0.939456\pi\) | ||
0.981966 | − | 0.189060i | \(-0.0605440\pi\) | |||||||
\(938\) | −4.76111 | − | 8.24649i | −0.155456 | − | 0.269257i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.918041 | + | 1.66795i | 0.0299432 | + | 0.0544024i | ||||
\(941\) | 3.49144i | 0.113818i | 0.998379 | + | 0.0569088i | \(0.0181244\pi\) | ||||
−0.998379 | + | 0.0569088i | \(0.981876\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.62182 | − | 4.54113i | 0.0853782 | − | 0.147879i | ||||
\(944\) | 6.18778i | 0.201395i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.72606 | − | 4.72168i | −0.0886319 | − | 0.153515i | ||||
\(947\) | 25.3143 | + | 43.8456i | 0.822603 | + | 1.42479i | 0.903737 | + | 0.428087i | \(0.140812\pi\) |
−0.0811340 | + | 0.996703i | \(0.525854\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.67458 | + | 0.456238i | 0.249127 | + | 0.0148101i | ||||
\(950\) | −8.09581 | + | 4.24264i | −0.262663 | + | 0.137649i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.33281 | + | 4.23360i | −0.237658 | + | 0.137212i | ||||
\(953\) | 21.2550 | + | 12.2716i | 0.688516 | + | 0.397515i | 0.803056 | − | 0.595904i | \(-0.203206\pi\) |
−0.114540 | + | 0.993419i | \(0.536539\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.3209 | − | 33.2864i | −0.592850 | − | 1.07712i | ||||
\(956\) | −16.5690 | − | 9.56614i | −0.535881 | − | 0.309391i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.34668 | − | 1.35485i | −0.0758176 | − | 0.0437733i | ||||
\(959\) | −4.75924 | − | 8.24324i | −0.153684 | − | 0.266188i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.0475 | 0.937015 | ||||||||
\(962\) | 6.76354 | − | 10.2566i | 0.218065 | − | 0.330687i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −13.1883 | + | 7.61428i | −0.424767 | + | 0.245239i | ||||
\(965\) | −48.6751 | − | 0.995391i | −1.56691 | − | 0.0320428i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 21.9813 | 0.706870 | 0.353435 | − | 0.935459i | \(-0.385014\pi\) | ||||
0.353435 | + | 0.935459i | \(0.385014\pi\) | |||||||
\(968\) | −5.65035 | + | 9.78670i | −0.181609 | + | 0.314556i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −11.0166 | + | 18.2110i | −0.353722 | + | 0.584721i | ||||
\(971\) | −8.81620 | + | 15.2701i | −0.282925 | + | 0.490041i | −0.972104 | − | 0.234551i | \(-0.924638\pi\) |
0.689179 | + | 0.724591i | \(0.257971\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.0561207 | + | 0.0972039i | 0.00179915 | + | 0.00311621i | ||||
\(974\) | 26.1993 | 0.839480 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 4.55509 | 0.145805 | ||||||||
\(977\) | −17.8238 | − | 30.8717i | −0.570233 | − | 0.987672i | −0.996542 | − | 0.0830942i | \(-0.973520\pi\) |
0.426309 | − | 0.904578i | \(-0.359814\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 15.1992 | − | 26.3259i | 0.485770 | − | 0.841378i | ||||
\(980\) | 10.7879 | − | 17.8330i | 0.344608 | − | 0.569654i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −8.04552 | + | 13.9353i | −0.256743 | + | 0.444692i | ||||
\(983\) | 44.4295 | 1.41708 | 0.708540 | − | 0.705670i | \(-0.249354\pi\) | ||||
0.708540 | + | 0.705670i | \(0.249354\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 39.3326 | + | 0.804340i | 1.25324 | + | 0.0256284i | ||||
\(986\) | 1.45448 | − | 0.839746i | 0.0463202 | − | 0.0267430i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 12.8022 | − | 6.41025i | 0.407291 | − | 0.203937i | ||||
\(989\) | −10.1589 | −0.323034 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 28.2152 | + | 48.8701i | 0.896285 | + | 1.55241i | 0.832206 | + | 0.554466i | \(0.187078\pi\) |
0.0640786 | + | 0.997945i | \(0.479589\pi\) | |||||||
\(992\) | −7.04253 | − | 4.06601i | −0.223600 | − | 0.129096i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −6.94205 | − | 4.00799i | −0.220188 | − | 0.127126i | ||||
\(995\) | 16.5703 | + | 30.1058i | 0.525313 | + | 0.954417i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −13.5170 | − | 7.80405i | −0.428088 | − | 0.247157i | 0.270444 | − | 0.962736i | \(-0.412830\pi\) |
−0.698532 | + | 0.715579i | \(0.746163\pi\) | |||||||
\(998\) | −1.08083 | + | 0.624019i | −0.0342132 | + | 0.0197530i | ||||
\(999\) | 0 | 0 |
(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 | 585.2.bf.b.244.7 | yes | 24 | |
3.2 | odd | 2 | inner | 585.2.bf.b.244.6 | yes | 24 | |
5.4 | even | 2 | inner | 585.2.bf.b.244.5 | yes | 24 | |
13.4 | even | 6 | inner | 585.2.bf.b.199.6 | yes | 24 | |
15.14 | odd | 2 | inner | 585.2.bf.b.244.8 | yes | 24 | |
39.17 | odd | 6 | inner | 585.2.bf.b.199.7 | yes | 24 | |
65.4 | even | 6 | inner | 585.2.bf.b.199.8 | yes | 24 | |
195.134 | odd | 6 | inner | 585.2.bf.b.199.5 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.bf.b.199.5 | ✓ | 24 | 195.134 | odd | 6 | inner | |
585.2.bf.b.199.6 | yes | 24 | 13.4 | even | 6 | inner | |
585.2.bf.b.199.7 | yes | 24 | 39.17 | odd | 6 | inner | |
585.2.bf.b.199.8 | yes | 24 | 65.4 | even | 6 | inner | |
585.2.bf.b.244.5 | yes | 24 | 5.4 | even | 2 | inner | |
585.2.bf.b.244.6 | yes | 24 | 3.2 | odd | 2 | inner | |
585.2.bf.b.244.7 | yes | 24 | 1.1 | even | 1 | trivial | |
585.2.bf.b.244.8 | yes | 24 | 15.14 | odd | 2 | inner |