Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 168.11 |
Dual form | 168.2.v.a.107.18 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.450483 | + | 1.34055i | 0.318539 | + | 0.947910i | ||||
\(3\) | −1.45135 | + | 0.945295i | −0.837937 | + | 0.545766i | ||||
\(4\) | −1.59413 | + | 1.20779i | −0.797065 | + | 0.603893i | ||||
\(5\) | 0.187787 | + | 0.325257i | 0.0839810 | + | 0.145459i | 0.904957 | − | 0.425504i | \(-0.139903\pi\) |
−0.820976 | + | 0.570963i | \(0.806570\pi\) | |||||||
\(6\) | −1.92102 | − | 1.51976i | −0.784253 | − | 0.620441i | ||||
\(7\) | −0.198565 | + | 2.63829i | −0.0750504 | + | 0.997180i | ||||
\(8\) | −2.33722 | − | 1.59292i | −0.826333 | − | 0.563182i | ||||
\(9\) | 1.21283 | − | 2.74391i | 0.404278 | − | 0.914636i | ||||
\(10\) | −0.351427 | + | 0.398260i | −0.111131 | + | 0.125941i | ||||
\(11\) | −4.18624 | − | 2.41693i | −1.26220 | − | 0.728731i | −0.288700 | − | 0.957420i | \(-0.593223\pi\) |
−0.973500 | + | 0.228688i | \(0.926556\pi\) | |||||||
\(12\) | 1.17193 | − | 3.25984i | 0.338306 | − | 0.941036i | ||||
\(13\) | 4.40701i | 1.22228i | 0.791521 | + | 0.611142i | \(0.209290\pi\) | ||||
−0.791521 | + | 0.611142i | \(0.790710\pi\) | |||||||
\(14\) | −3.62620 | + | 0.922319i | −0.969143 | + | 0.246500i | ||||
\(15\) | −0.580009 | − | 0.294548i | −0.149758 | − | 0.0760518i | ||||
\(16\) | 1.08250 | − | 3.85074i | 0.270626 | − | 0.962685i | ||||
\(17\) | 2.39410 | + | 1.38223i | 0.580653 | + | 0.335240i | 0.761393 | − | 0.648291i | \(-0.224516\pi\) |
−0.180740 | + | 0.983531i | \(0.557849\pi\) | |||||||
\(18\) | 4.22470 | + | 0.389777i | 0.995771 | + | 0.0918712i | ||||
\(19\) | 1.83569 | + | 3.17951i | 0.421137 | + | 0.729431i | 0.996051 | − | 0.0887833i | \(-0.0282979\pi\) |
−0.574914 | + | 0.818214i | \(0.694965\pi\) | |||||||
\(20\) | −0.692199 | − | 0.291695i | −0.154780 | − | 0.0652251i | ||||
\(21\) | −2.20578 | − | 4.01678i | −0.481340 | − | 0.876534i | ||||
\(22\) | 1.35417 | − | 6.70064i | 0.288711 | − | 1.42858i | ||||
\(23\) | 3.60943 | + | 6.25172i | 0.752618 | + | 1.30357i | 0.946550 | + | 0.322558i | \(0.104543\pi\) |
−0.193932 | + | 0.981015i | \(0.562124\pi\) | |||||||
\(24\) | 4.89791 | + | 0.102518i | 0.999781 | + | 0.0209265i | ||||
\(25\) | 2.42947 | − | 4.20797i | 0.485894 | − | 0.841594i | ||||
\(26\) | −5.90780 | + | 1.98528i | −1.15862 | + | 0.389346i | ||||
\(27\) | 0.833557 | + | 5.12886i | 0.160418 | + | 0.987049i | ||||
\(28\) | −2.86995 | − | 4.44560i | −0.542370 | − | 0.840140i | ||||
\(29\) | 0.968468 | 0.179840 | 0.0899200 | − | 0.995949i | \(-0.471339\pi\) | ||||
0.0899200 | + | 0.995949i | \(0.471339\pi\) | |||||||
\(30\) | 0.133571 | − | 0.910218i | 0.0243865 | − | 0.166182i | ||||
\(31\) | 2.78588 | + | 1.60843i | 0.500359 | + | 0.288883i | 0.728862 | − | 0.684661i | \(-0.240050\pi\) |
−0.228503 | + | 0.973543i | \(0.573383\pi\) | |||||||
\(32\) | 5.64974 | − | 0.283544i | 0.998743 | − | 0.0501240i | ||||
\(33\) | 8.36041 | − | 0.449426i | 1.45536 | − | 0.0782351i | ||||
\(34\) | −0.774447 | + | 3.83207i | −0.132817 | + | 0.657194i | ||||
\(35\) | −0.895411 | + | 0.430853i | −0.151352 | + | 0.0728274i | ||||
\(36\) | 1.38064 | + | 5.83899i | 0.230107 | + | 0.973165i | ||||
\(37\) | −0.459519 | + | 0.265303i | −0.0755445 | + | 0.0436156i | −0.537296 | − | 0.843393i | \(-0.680554\pi\) |
0.461752 | + | 0.887009i | \(0.347221\pi\) | |||||||
\(38\) | −3.43534 | + | 3.89315i | −0.557285 | + | 0.631552i | ||||
\(39\) | −4.16592 | − | 6.39611i | −0.667082 | − | 1.02420i | ||||
\(40\) | 0.0792077 | − | 1.05933i | 0.0125238 | − | 0.167495i | ||||
\(41\) | 3.88604i | 0.606897i | 0.952848 | + | 0.303449i | \(0.0981381\pi\) | ||||
−0.952848 | + | 0.303449i | \(0.901862\pi\) | |||||||
\(42\) | 4.39102 | − | 4.76644i | 0.677549 | − | 0.735477i | ||||
\(43\) | 0.747189 | 0.113945 | 0.0569726 | − | 0.998376i | \(-0.481855\pi\) | ||||
0.0569726 | + | 0.998376i | \(0.481855\pi\) | |||||||
\(44\) | 9.59255 | − | 1.20319i | 1.44613 | − | 0.181387i | ||||
\(45\) | 1.12023 | − | 0.120788i | 0.166994 | − | 0.0180061i | ||||
\(46\) | −6.75473 | + | 7.65490i | −0.995931 | + | 1.12865i | ||||
\(47\) | −5.20322 | − | 9.01223i | −0.758967 | − | 1.31457i | −0.943378 | − | 0.331720i | \(-0.892371\pi\) |
0.184411 | − | 0.982849i | \(-0.440962\pi\) | |||||||
\(48\) | 2.06899 | + | 6.61206i | 0.298633 | + | 0.954368i | ||||
\(49\) | −6.92114 | − | 1.04774i | −0.988735 | − | 0.149678i | ||||
\(50\) | 6.73541 | + | 1.36120i | 0.952531 | + | 0.192503i | ||||
\(51\) | −4.78129 | + | 0.257025i | −0.669514 | + | 0.0359907i | ||||
\(52\) | −5.32273 | − | 7.02535i | −0.738129 | − | 0.974240i | ||||
\(53\) | −1.40600 | + | 2.43526i | −0.193129 | + | 0.334509i | −0.946285 | − | 0.323332i | \(-0.895197\pi\) |
0.753157 | + | 0.657841i | \(0.228530\pi\) | |||||||
\(54\) | −6.49997 | + | 3.42788i | −0.884534 | + | 0.466476i | ||||
\(55\) | − | 1.81547i | − | 0.244798i | ||||||
\(56\) | 4.66667 | − | 5.84997i | 0.623610 | − | 0.781735i | ||||
\(57\) | −5.66981 | − | 2.87932i | −0.750985 | − | 0.381375i | ||||
\(58\) | 0.436278 | + | 1.29828i | 0.0572861 | + | 0.170472i | ||||
\(59\) | 1.65184 | + | 0.953689i | 0.215051 | + | 0.124160i | 0.603657 | − | 0.797244i | \(-0.293710\pi\) |
−0.388606 | + | 0.921404i | \(0.627043\pi\) | |||||||
\(60\) | 1.28036 | − | 0.230980i | 0.165294 | − | 0.0298194i | ||||
\(61\) | 8.43102 | − | 4.86765i | 1.07948 | − | 0.623239i | 0.148725 | − | 0.988879i | \(-0.452483\pi\) |
0.930756 | + | 0.365640i | \(0.119150\pi\) | |||||||
\(62\) | −0.901184 | + | 4.45918i | −0.114450 | + | 0.566316i | ||||
\(63\) | 6.99840 | + | 3.74465i | 0.881715 | + | 0.471782i | ||||
\(64\) | 2.92522 | + | 7.44601i | 0.365652 | + | 0.930752i | ||||
\(65\) | −1.43341 | + | 0.827580i | −0.177793 | + | 0.102649i | ||||
\(66\) | 4.36870 | + | 11.0051i | 0.537750 | + | 1.35463i | ||||
\(67\) | 3.85681 | − | 6.68019i | 0.471184 | − | 0.816115i | −0.528273 | − | 0.849075i | \(-0.677160\pi\) |
0.999457 | + | 0.0329601i | \(0.0104934\pi\) | |||||||
\(68\) | −5.48594 | + | 0.688098i | −0.665268 | + | 0.0834441i | ||||
\(69\) | −11.1483 | − | 5.66145i | −1.34209 | − | 0.681559i | ||||
\(70\) | −0.980945 | − | 1.00625i | −0.117245 | − | 0.120270i | ||||
\(71\) | −5.55936 | −0.659774 | −0.329887 | − | 0.944020i | \(-0.607011\pi\) | ||||
−0.329887 | + | 0.944020i | \(0.607011\pi\) | |||||||
\(72\) | −7.20549 | + | 4.48118i | −0.849175 | + | 0.528112i | ||||
\(73\) | −0.445737 | + | 0.772039i | −0.0521696 | + | 0.0903603i | −0.890931 | − | 0.454139i | \(-0.849947\pi\) |
0.838761 | + | 0.544499i | \(0.183280\pi\) | |||||||
\(74\) | −0.562657 | − | 0.496492i | −0.0654076 | − | 0.0577160i | ||||
\(75\) | 0.451759 | + | 8.40380i | 0.0521646 | + | 0.970388i | ||||
\(76\) | −6.76651 | − | 2.85143i | −0.776172 | − | 0.327082i | ||||
\(77\) | 7.20780 | − | 10.5646i | 0.821405 | − | 1.20395i | ||||
\(78\) | 6.69761 | − | 8.46595i | 0.758355 | − | 0.958581i | ||||
\(79\) | 11.3282 | − | 6.54032i | 1.27452 | − | 0.735844i | 0.298684 | − | 0.954352i | \(-0.403453\pi\) |
0.975835 | + | 0.218509i | \(0.0701192\pi\) | |||||||
\(80\) | 1.45576 | − | 0.371028i | 0.162759 | − | 0.0414821i | ||||
\(81\) | −6.05807 | − | 6.65581i | −0.673119 | − | 0.739534i | ||||
\(82\) | −5.20942 | + | 1.75059i | −0.575284 | + | 0.193321i | ||||
\(83\) | − | 10.1716i | − | 1.11648i | −0.829680 | − | 0.558239i | \(-0.811477\pi\) | ||
0.829680 | − | 0.558239i | \(-0.188523\pi\) | |||||||
\(84\) | 8.36771 | + | 3.73917i | 0.912992 | + | 0.407977i | ||||
\(85\) | 1.03826i | 0.112615i | ||||||||
\(86\) | 0.336596 | + | 1.00164i | 0.0362961 | + | 0.108010i | ||||
\(87\) | −1.40559 | + | 0.915488i | −0.150695 | + | 0.0981506i | ||||
\(88\) | 5.93421 | + | 12.3172i | 0.632589 | + | 1.31302i | ||||
\(89\) | −4.70650 | + | 2.71730i | −0.498888 | + | 0.288033i | −0.728254 | − | 0.685307i | \(-0.759668\pi\) |
0.229366 | + | 0.973340i | \(0.426335\pi\) | |||||||
\(90\) | 0.666567 | + | 1.44731i | 0.0702623 | + | 0.152560i | ||||
\(91\) | −11.6270 | − | 0.875077i | −1.21884 | − | 0.0917330i | ||||
\(92\) | −13.3046 | − | 5.60663i | −1.38710 | − | 0.584532i | ||||
\(93\) | −5.56373 | + | 0.299087i | −0.576932 | + | 0.0310138i | ||||
\(94\) | 9.73736 | − | 11.0350i | 1.00433 | − | 1.13817i | ||||
\(95\) | −0.689440 | + | 1.19414i | −0.0707350 | + | 0.122517i | ||||
\(96\) | −7.93172 | + | 5.75220i | −0.809528 | + | 0.587081i | ||||
\(97\) | 5.31623 | 0.539781 | 0.269891 | − | 0.962891i | \(-0.413012\pi\) | ||||
0.269891 | + | 0.962891i | \(0.413012\pi\) | |||||||
\(98\) | −1.71331 | − | 9.75011i | −0.173070 | − | 0.984909i | ||||
\(99\) | −11.7090 | + | 8.55533i | −1.17680 | + | 0.859843i | ||||
\(100\) | 1.20943 | + | 9.64233i | 0.120943 | + | 0.964233i | ||||
\(101\) | −7.63384 | + | 13.2222i | −0.759595 | + | 1.31566i | 0.183462 | + | 0.983027i | \(0.441270\pi\) |
−0.943057 | + | 0.332631i | \(0.892064\pi\) | |||||||
\(102\) | −2.49844 | − | 6.29375i | −0.247383 | − | 0.623174i | ||||
\(103\) | −11.9461 | + | 6.89709i | −1.17709 | + | 0.679591i | −0.955338 | − | 0.295514i | \(-0.904509\pi\) |
−0.221747 | + | 0.975104i | \(0.571176\pi\) | |||||||
\(104\) | 7.02001 | − | 10.3002i | 0.688369 | − | 1.01001i | ||||
\(105\) | 0.892271 | − | 1.47175i | 0.0870767 | − | 0.143628i | ||||
\(106\) | −3.89796 | − | 0.787763i | −0.378603 | − | 0.0765143i | ||||
\(107\) | 15.4735 | − | 8.93365i | 1.49588 | − | 0.863649i | 0.495895 | − | 0.868382i | \(-0.334840\pi\) |
0.999989 | + | 0.00473355i | \(0.00150674\pi\) | |||||||
\(108\) | −7.52336 | − | 7.16931i | −0.723936 | − | 0.689867i | ||||
\(109\) | −3.69540 | − | 2.13354i | −0.353955 | − | 0.204356i | 0.312471 | − | 0.949927i | \(-0.398843\pi\) |
−0.666426 | + | 0.745571i | \(0.732177\pi\) | |||||||
\(110\) | 2.43373 | − | 0.817840i | 0.232047 | − | 0.0779780i | ||||
\(111\) | 0.416133 | − | 0.819429i | 0.0394976 | − | 0.0777768i | ||||
\(112\) | 9.94442 | + | 3.62058i | 0.939659 | + | 0.342113i | ||||
\(113\) | 11.0965i | 1.04387i | 0.852986 | + | 0.521933i | \(0.174789\pi\) | ||||
−0.852986 | + | 0.521933i | \(0.825211\pi\) | |||||||
\(114\) | 1.30570 | − | 8.89773i | 0.122290 | − | 0.833349i | ||||
\(115\) | −1.35561 | + | 2.34799i | −0.126411 | + | 0.218951i | ||||
\(116\) | −1.54386 | + | 1.16970i | −0.143344 | + | 0.108604i | ||||
\(117\) | 12.0924 | + | 5.34497i | 1.11795 | + | 0.494143i | ||||
\(118\) | −0.534340 | + | 2.64399i | −0.0491900 | + | 0.243399i | ||||
\(119\) | −4.12211 | + | 6.04185i | −0.377873 | + | 0.553856i | ||||
\(120\) | 0.886420 | + | 1.61233i | 0.0809187 | + | 0.147185i | ||||
\(121\) | 6.18308 | + | 10.7094i | 0.562099 | + | 0.973583i | ||||
\(122\) | 10.3233 | + | 9.10938i | 0.934632 | + | 0.824725i | ||||
\(123\) | −3.67345 | − | 5.64000i | −0.331224 | − | 0.508542i | ||||
\(124\) | −6.38370 | + | 0.800704i | −0.573273 | + | 0.0719053i | ||||
\(125\) | 3.70277 | 0.331186 | ||||||||
\(126\) | −1.86722 | + | 11.0686i | −0.166345 | + | 0.986068i | ||||
\(127\) | 5.11149i | 0.453572i | 0.973945 | + | 0.226786i | \(0.0728217\pi\) | ||||
−0.973945 | + | 0.226786i | \(0.927178\pi\) | |||||||
\(128\) | −8.66397 | + | 7.27569i | −0.765794 | + | 0.643086i | ||||
\(129\) | −1.08443 | + | 0.706314i | −0.0954790 | + | 0.0621875i | ||||
\(130\) | −1.75514 | − | 1.54874i | −0.153936 | − | 0.135834i | ||||
\(131\) | 9.21193 | − | 5.31851i | 0.804850 | − | 0.464680i | −0.0403145 | − | 0.999187i | \(-0.512836\pi\) |
0.845164 | + | 0.534507i | \(0.179503\pi\) | |||||||
\(132\) | −12.7848 | + | 10.8140i | −1.11277 | + | 0.941241i | ||||
\(133\) | −8.75298 | + | 4.21175i | −0.758980 | + | 0.365205i | ||||
\(134\) | 10.6925 | + | 2.16092i | 0.923694 | + | 0.186675i | ||||
\(135\) | −1.51167 | + | 1.23425i | −0.130104 | + | 0.106228i | ||||
\(136\) | −3.39375 | − | 7.04418i | −0.291012 | − | 0.604034i | ||||
\(137\) | −0.319180 | − | 0.184279i | −0.0272694 | − | 0.0157440i | 0.486303 | − | 0.873790i | \(-0.338345\pi\) |
−0.513573 | + | 0.858046i | \(0.671678\pi\) | |||||||
\(138\) | 2.56734 | − | 17.4952i | 0.218546 | − | 1.48929i | ||||
\(139\) | 8.70744 | 0.738555 | 0.369278 | − | 0.929319i | \(-0.379605\pi\) | ||||
0.369278 | + | 0.929319i | \(0.379605\pi\) | |||||||
\(140\) | 0.907023 | − | 1.76830i | 0.0766575 | − | 0.149449i | ||||
\(141\) | 16.0709 | + | 8.16133i | 1.35341 | + | 0.687308i | ||||
\(142\) | −2.50439 | − | 7.45258i | −0.210164 | − | 0.625406i | ||||
\(143\) | 10.6514 | − | 18.4488i | 0.890717 | − | 1.54277i | ||||
\(144\) | −9.25318 | − | 7.64060i | −0.771098 | − | 0.636716i | ||||
\(145\) | 0.181866 | + | 0.315001i | 0.0151031 | + | 0.0261594i | ||||
\(146\) | −1.23575 | − | 0.249741i | −0.102271 | − | 0.0206687i | ||||
\(147\) | 11.0354 | − | 5.02188i | 0.910187 | − | 0.414198i | ||||
\(148\) | 0.412103 | − | 0.977929i | 0.0338747 | − | 0.0803853i | ||||
\(149\) | −7.63384 | − | 13.2222i | −0.625388 | − | 1.08320i | −0.988466 | − | 0.151445i | \(-0.951607\pi\) |
0.363077 | − | 0.931759i | \(-0.381726\pi\) | |||||||
\(150\) | −11.0622 | + | 4.39137i | −0.903223 | + | 0.358554i | ||||
\(151\) | −8.05314 | − | 4.64948i | −0.655355 | − | 0.378369i | 0.135150 | − | 0.990825i | \(-0.456848\pi\) |
−0.790505 | + | 0.612456i | \(0.790182\pi\) | |||||||
\(152\) | 0.774286 | − | 10.3553i | 0.0628029 | − | 0.839929i | ||||
\(153\) | 6.69636 | − | 4.89276i | 0.541368 | − | 0.395556i | ||||
\(154\) | 17.4093 | + | 4.90322i | 1.40288 | + | 0.395112i | ||||
\(155\) | 1.20817i | 0.0970427i | ||||||||
\(156\) | 14.3662 | + | 5.16469i | 1.15021 | + | 0.413506i | ||||
\(157\) | 4.93578 | + | 2.84967i | 0.393918 | + | 0.227429i | 0.683856 | − | 0.729617i | \(-0.260302\pi\) |
−0.289938 | + | 0.957045i | \(0.593635\pi\) | |||||||
\(158\) | 13.8708 | + | 12.2396i | 1.10350 | + | 0.973733i | ||||
\(159\) | −0.261445 | − | 4.86350i | −0.0207339 | − | 0.385701i | ||||
\(160\) | 1.15317 | + | 1.78437i | 0.0911665 | + | 0.141067i | ||||
\(161\) | −17.2105 | + | 8.28135i | −1.35638 | + | 0.652662i | ||||
\(162\) | 6.19337 | − | 11.1195i | 0.486597 | − | 0.873627i | ||||
\(163\) | 3.31035 | + | 5.73369i | 0.259286 | + | 0.449097i | 0.966051 | − | 0.258352i | \(-0.0831793\pi\) |
−0.706765 | + | 0.707449i | \(0.749846\pi\) | |||||||
\(164\) | −4.69350 | − | 6.19485i | −0.366501 | − | 0.483737i | ||||
\(165\) | 1.71616 | + | 2.63489i | 0.133603 | + | 0.205126i | ||||
\(166\) | 13.6355 | − | 4.58213i | 1.05832 | − | 0.355642i | ||||
\(167\) | 7.38941 | 0.571809 | 0.285905 | − | 0.958258i | \(-0.407706\pi\) | ||||
0.285905 | + | 0.958258i | \(0.407706\pi\) | |||||||
\(168\) | −1.24302 | + | 12.9017i | −0.0959014 | + | 0.995391i | ||||
\(169\) | −6.42173 | −0.493979 | ||||||||
\(170\) | −1.39184 | + | 0.467719i | −0.106749 | + | 0.0358724i | ||||
\(171\) | 10.9507 | − | 1.18075i | 0.837420 | − | 0.0902944i | ||||
\(172\) | −1.19112 | + | 0.902445i | −0.0908218 | + | 0.0688108i | ||||
\(173\) | 3.21644 | + | 5.57103i | 0.244541 | + | 0.423558i | 0.962003 | − | 0.273041i | \(-0.0880293\pi\) |
−0.717461 | + | 0.696598i | \(0.754696\pi\) | |||||||
\(174\) | −1.86045 | − | 1.47184i | −0.141040 | − | 0.111580i | ||||
\(175\) | 10.6194 | + | 7.24520i | 0.802754 | + | 0.547686i | ||||
\(176\) | −13.8386 | + | 13.5038i | −1.04312 | + | 1.01789i | ||||
\(177\) | −3.29891 | + | 0.177338i | −0.247962 | + | 0.0133295i | ||||
\(178\) | −5.76287 | − | 5.08519i | −0.431945 | − | 0.381151i | ||||
\(179\) | 13.0137 | + | 7.51347i | 0.972691 | + | 0.561583i | 0.900055 | − | 0.435775i | \(-0.143526\pi\) |
0.0726352 | + | 0.997359i | \(0.476859\pi\) | |||||||
\(180\) | −1.63991 | + | 1.54555i | −0.122231 | + | 0.115199i | ||||
\(181\) | − | 2.93639i | − | 0.218260i | −0.994027 | − | 0.109130i | \(-0.965194\pi\) | ||
0.994027 | − | 0.109130i | \(-0.0348065\pi\) | |||||||
\(182\) | −4.06467 | − | 15.9807i | −0.301293 | − | 1.18457i | ||||
\(183\) | −7.63499 | + | 15.0345i | −0.564395 | + | 1.11138i | ||||
\(184\) | 1.52244 | − | 20.3612i | 0.112236 | − | 1.50105i | ||||
\(185\) | −0.172584 | − | 0.0996412i | −0.0126886 | − | 0.00732577i | ||||
\(186\) | −2.90731 | − | 7.32371i | −0.213174 | − | 0.537001i | ||||
\(187\) | −6.68151 | − | 11.5727i | −0.488600 | − | 0.846281i | ||||
\(188\) | 19.1795 | + | 8.08230i | 1.39881 | + | 0.589463i | ||||
\(189\) | −13.6969 | + | 1.18076i | −0.996305 | + | 0.0858873i | ||||
\(190\) | −1.91139 | − | 0.386285i | −0.138667 | − | 0.0280240i | ||||
\(191\) | 6.73560 | + | 11.6664i | 0.487371 | + | 0.844151i | 0.999895 | − | 0.0145218i | \(-0.00462261\pi\) |
−0.512524 | + | 0.858673i | \(0.671289\pi\) | |||||||
\(192\) | −11.2842 | − | 8.04158i | −0.814367 | − | 0.580351i | ||||
\(193\) | 4.01964 | − | 6.96221i | 0.289340 | − | 0.501151i | −0.684313 | − | 0.729189i | \(-0.739898\pi\) |
0.973652 | + | 0.228038i | \(0.0732310\pi\) | |||||||
\(194\) | 2.39487 | + | 7.12665i | 0.171942 | + | 0.511664i | ||||
\(195\) | 1.29807 | − | 2.55611i | 0.0929570 | − | 0.183047i | ||||
\(196\) | 12.2987 | − | 6.68902i | 0.878475 | − | 0.477787i | ||||
\(197\) | 17.6399 | 1.25679 | 0.628395 | − | 0.777894i | \(-0.283712\pi\) | ||||
0.628395 | + | 0.777894i | \(0.283712\pi\) | |||||||
\(198\) | −16.7435 | − | 11.8425i | −1.18991 | − | 0.841609i | ||||
\(199\) | −17.5362 | − | 10.1245i | −1.24311 | − | 0.717708i | −0.273381 | − | 0.961906i | \(-0.588142\pi\) |
−0.969725 | + | 0.244198i | \(0.921475\pi\) | |||||||
\(200\) | −12.3812 | + | 5.96501i | −0.875481 | + | 0.421790i | ||||
\(201\) | 0.717171 | + | 13.3411i | 0.0505853 | + | 0.941010i | ||||
\(202\) | −21.1639 | − | 4.27714i | −1.48909 | − | 0.300939i | ||||
\(203\) | −0.192304 | + | 2.55510i | −0.0134971 | + | 0.179333i | ||||
\(204\) | 7.31156 | − | 6.18450i | 0.511912 | − | 0.433002i | ||||
\(205\) | −1.26396 | + | 0.729749i | −0.0882789 | + | 0.0509679i | ||||
\(206\) | −14.6274 | − | 12.9073i | −1.01914 | − | 0.899294i | ||||
\(207\) | 21.5318 | − | 2.32165i | 1.49656 | − | 0.161366i | ||||
\(208\) | 16.9702 | + | 4.77061i | 1.17667 | + | 0.330782i | ||||
\(209\) | − | 17.7470i | − | 1.22758i | ||||||
\(210\) | 2.37490 | + | 0.533135i | 0.163883 | + | 0.0367898i | ||||
\(211\) | 4.05029 | 0.278833 | 0.139417 | − | 0.990234i | \(-0.455477\pi\) | ||||
0.139417 | + | 0.990234i | \(0.455477\pi\) | |||||||
\(212\) | −0.699930 | − | 5.58027i | −0.0480714 | − | 0.383254i | ||||
\(213\) | 8.06857 | − | 5.25523i | 0.552849 | − | 0.360083i | ||||
\(214\) | 18.9465 | + | 16.7185i | 1.29516 | + | 1.14286i | ||||
\(215\) | 0.140313 | + | 0.243029i | 0.00956924 | + | 0.0165744i | ||||
\(216\) | 6.22165 | − | 13.3151i | 0.423329 | − | 0.905976i | ||||
\(217\) | −4.79668 | + | 7.03059i | −0.325620 | + | 0.477268i | ||||
\(218\) | 1.19540 | − | 5.91498i | 0.0809624 | − | 0.400613i | ||||
\(219\) | −0.0828845 | − | 1.54185i | −0.00560082 | − | 0.104189i | ||||
\(220\) | 2.19270 | + | 2.89410i | 0.147832 | + | 0.195120i | ||||
\(221\) | −6.09151 | + | 10.5508i | −0.409759 | + | 0.709724i | ||||
\(222\) | 1.28594 | + | 0.188707i | 0.0863069 | + | 0.0126652i | ||||
\(223\) | − | 12.1649i | − | 0.814623i | −0.913289 | − | 0.407312i | \(-0.866466\pi\) | ||
0.913289 | − | 0.407312i | \(-0.133534\pi\) | |||||||
\(224\) | −0.373769 | + | 14.9620i | −0.0249735 | + | 0.999688i | ||||
\(225\) | −8.59974 | − | 11.7698i | −0.573316 | − | 0.784654i | ||||
\(226\) | −14.8753 | + | 4.99876i | −0.989491 | + | 0.332513i | ||||
\(227\) | −12.7274 | − | 7.34817i | −0.844748 | − | 0.487715i | 0.0141276 | − | 0.999900i | \(-0.495503\pi\) |
−0.858875 | + | 0.512185i | \(0.828836\pi\) | |||||||
\(228\) | 12.5160 | − | 2.25792i | 0.828894 | − | 0.149534i | ||||
\(229\) | −14.0706 | + | 8.12366i | −0.929811 | + | 0.536826i | −0.886752 | − | 0.462246i | \(-0.847044\pi\) |
−0.0430590 | + | 0.999073i | \(0.513710\pi\) | |||||||
\(230\) | −3.75826 | − | 0.759532i | −0.247813 | − | 0.0500820i | ||||
\(231\) | −0.474367 | + | 22.1464i | −0.0312110 | + | 1.45713i | ||||
\(232\) | −2.26352 | − | 1.54269i | −0.148608 | − | 0.101283i | ||||
\(233\) | −8.34905 | + | 4.82033i | −0.546965 | + | 0.315790i | −0.747897 | − | 0.663815i | \(-0.768936\pi\) |
0.200932 | + | 0.979605i | \(0.435603\pi\) | |||||||
\(234\) | −1.71775 | + | 18.6183i | −0.112293 | + | 1.21712i | ||||
\(235\) | 1.95420 | − | 3.38477i | 0.127478 | − | 0.220798i | ||||
\(236\) | −3.78510 | + | 0.474763i | −0.246389 | + | 0.0309044i | ||||
\(237\) | −10.2586 | + | 20.2008i | −0.666368 | + | 1.31218i | ||||
\(238\) | −9.95633 | − | 2.80413i | −0.645373 | − | 0.181765i | ||||
\(239\) | −18.9559 | −1.22615 | −0.613076 | − | 0.790024i | \(-0.710068\pi\) | ||||
−0.613076 | + | 0.790024i | \(0.710068\pi\) | |||||||
\(240\) | −1.76209 | + | 1.91461i | −0.113742 | + | 0.123588i | ||||
\(241\) | −9.74116 | + | 16.8722i | −0.627483 | + | 1.08683i | 0.360572 | + | 0.932732i | \(0.382582\pi\) |
−0.988055 | + | 0.154102i | \(0.950752\pi\) | |||||||
\(242\) | −11.5711 | + | 13.1131i | −0.743818 | + | 0.842943i | ||||
\(243\) | 15.0841 | + | 3.93325i | 0.967644 | + | 0.252318i | ||||
\(244\) | −7.56106 | + | 17.9425i | −0.484047 | + | 1.14865i | ||||
\(245\) | −0.958917 | − | 2.44790i | −0.0612630 | − | 0.156391i | ||||
\(246\) | 5.90586 | − | 7.46516i | 0.376544 | − | 0.475961i | ||||
\(247\) | −14.0121 | + | 8.08992i | −0.891572 | + | 0.514749i | ||||
\(248\) | −3.94913 | − | 8.19695i | −0.250770 | − | 0.520507i | ||||
\(249\) | 9.61517 | + | 14.7626i | 0.609336 | + | 0.935539i | ||||
\(250\) | 1.66803 | + | 4.96373i | 0.105496 | + | 0.313934i | ||||
\(251\) | − | 3.37389i | − | 0.212958i | −0.994315 | − | 0.106479i | \(-0.966042\pi\) | ||
0.994315 | − | 0.106479i | \(-0.0339577\pi\) | |||||||
\(252\) | −15.6791 | + | 2.48311i | −0.987690 | + | 0.156421i | ||||
\(253\) | − | 34.8949i | − | 2.19383i | ||||||
\(254\) | −6.85219 | + | 2.30264i | −0.429945 | + | 0.144480i | ||||
\(255\) | −0.981464 | − | 1.50688i | −0.0614617 | − | 0.0943646i | ||||
\(256\) | −13.6564 | − | 8.33688i | −0.853523 | − | 0.521055i | ||||
\(257\) | 8.98721 | − | 5.18877i | 0.560607 | − | 0.323666i | −0.192782 | − | 0.981242i | \(-0.561751\pi\) |
0.753389 | + | 0.657575i | \(0.228418\pi\) | |||||||
\(258\) | −1.43537 | − | 1.13555i | −0.0893620 | − | 0.0706963i | ||||
\(259\) | −0.608703 | − | 1.26502i | −0.0378230 | − | 0.0786048i | ||||
\(260\) | 1.28550 | − | 3.05053i | 0.0797236 | − | 0.189186i | ||||
\(261\) | 1.17459 | − | 2.65739i | 0.0727053 | − | 0.164488i | ||||
\(262\) | 11.2795 | + | 9.95312i | 0.696851 | + | 0.614906i | ||||
\(263\) | −9.47852 | + | 16.4173i | −0.584471 | + | 1.01233i | 0.410470 | + | 0.911874i | \(0.365364\pi\) |
−0.994941 | + | 0.100459i | \(0.967969\pi\) | |||||||
\(264\) | −20.2560 | − | 12.2671i | −1.24667 | − | 0.754985i | ||||
\(265\) | −1.05611 | −0.0648766 | ||||||||
\(266\) | −9.58912 | − | 9.83646i | −0.587946 | − | 0.603112i | ||||
\(267\) | 4.26213 | − | 8.39279i | 0.260838 | − | 0.513630i | ||||
\(268\) | 1.91998 | + | 15.3073i | 0.117282 | + | 0.935042i | ||||
\(269\) | −11.7184 | + | 20.2968i | −0.714481 | + | 1.23752i | 0.248678 | + | 0.968586i | \(0.420004\pi\) |
−0.963159 | + | 0.268932i | \(0.913329\pi\) | |||||||
\(270\) | −2.33556 | − | 1.47045i | −0.142137 | − | 0.0894886i | ||||
\(271\) | 22.6598 | − | 13.0826i | 1.37648 | − | 0.794713i | 0.384750 | − | 0.923021i | \(-0.374288\pi\) |
0.991734 | + | 0.128308i | \(0.0409545\pi\) | |||||||
\(272\) | 7.91423 | − | 7.72276i | 0.479871 | − | 0.468261i | ||||
\(273\) | 17.7020 | − | 9.72087i | 1.07137 | − | 0.588334i | ||||
\(274\) | 0.103249 | − | 0.510890i | 0.00623751 | − | 0.0308640i | ||||
\(275\) | −20.3407 | + | 11.7437i | −1.22659 | + | 0.708173i | ||||
\(276\) | 24.6096 | − | 4.43963i | 1.48132 | − | 0.267234i | ||||
\(277\) | 5.57328 | + | 3.21774i | 0.334866 | + | 0.193335i | 0.657999 | − | 0.753018i | \(-0.271403\pi\) |
−0.323133 | + | 0.946353i | \(0.604736\pi\) | |||||||
\(278\) | 3.92255 | + | 11.6727i | 0.235259 | + | 0.700083i | ||||
\(279\) | 7.79220 | − | 5.69345i | 0.466507 | − | 0.340858i | ||||
\(280\) | 2.77909 | + | 0.419318i | 0.166082 | + | 0.0250591i | ||||
\(281\) | − | 9.50336i | − | 0.566923i | −0.958984 | − | 0.283462i | \(-0.908517\pi\) | ||
0.958984 | − | 0.283462i | \(-0.0914828\pi\) | |||||||
\(282\) | −3.70098 | + | 25.2203i | −0.220390 | + | 1.50185i | ||||
\(283\) | −12.9403 | + | 22.4133i | −0.769224 | + | 1.33233i | 0.168761 | + | 0.985657i | \(0.446024\pi\) |
−0.937984 | + | 0.346678i | \(0.887310\pi\) | |||||||
\(284\) | 8.86234 | − | 6.71451i | 0.525883 | − | 0.398433i | ||||
\(285\) | −0.128201 | − | 2.38485i | −0.00759397 | − | 0.141266i | ||||
\(286\) | 29.5298 | + | 5.96786i | 1.74613 | + | 0.352887i | ||||
\(287\) | −10.2525 | − | 0.771630i | −0.605186 | − | 0.0455479i | ||||
\(288\) | 6.07418 | − | 15.8463i | 0.357925 | − | 0.933751i | ||||
\(289\) | −4.67887 | − | 8.10404i | −0.275228 | − | 0.476709i | ||||
\(290\) | −0.340346 | + | 0.385702i | −0.0199858 | + | 0.0226492i | ||||
\(291\) | −7.71571 | + | 5.02541i | −0.452303 | + | 0.294595i | ||||
\(292\) | −0.221895 | − | 1.76909i | −0.0129854 | − | 0.103528i | ||||
\(293\) | 14.8775 | 0.869153 | 0.434576 | − | 0.900635i | \(-0.356898\pi\) | ||||
0.434576 | + | 0.900635i | \(0.356898\pi\) | |||||||
\(294\) | 11.7033 | + | 12.5312i | 0.682553 | + | 0.730836i | ||||
\(295\) | 0.716363i | 0.0417083i | ||||||||
\(296\) | 1.49661 | + | 0.111904i | 0.0869884 | + | 0.00650427i | ||||
\(297\) | 8.90661 | − | 23.4853i | 0.516814 | − | 1.36275i | ||||
\(298\) | 14.2861 | − | 16.1899i | 0.827569 | − | 0.937855i | ||||
\(299\) | −27.5514 | + | 15.9068i | −1.59334 | + | 0.919913i | ||||
\(300\) | −10.8702 | − | 12.8511i | −0.627589 | − | 0.741960i | ||||
\(301\) | −0.148365 | + | 1.97130i | −0.00855164 | + | 0.113624i | ||||
\(302\) | 2.60505 | − | 12.8901i | 0.149904 | − | 0.741743i | ||||
\(303\) | −1.41951 | − | 26.4063i | −0.0815486 | − | 1.51700i | ||||
\(304\) | 14.2306 | − | 3.62694i | 0.816182 | − | 0.208019i | ||||
\(305\) | 3.16648 | + | 1.82817i | 0.181312 | + | 0.104681i | ||||
\(306\) | 9.57557 | + | 6.77267i | 0.547399 | + | 0.387168i | ||||
\(307\) | −14.4651 | −0.825566 | −0.412783 | − | 0.910830i | \(-0.635443\pi\) | ||||
−0.412783 | + | 0.910830i | \(0.635443\pi\) | |||||||
\(308\) | 1.26961 | + | 25.5468i | 0.0723430 | + | 1.45567i | ||||
\(309\) | 10.8182 | − | 21.3027i | 0.615426 | − | 1.21187i | ||||
\(310\) | −1.61961 | + | 0.544260i | −0.0919877 | + | 0.0309119i | ||||
\(311\) | 14.6310 | − | 25.3417i | 0.829649 | − | 1.43699i | −0.0686650 | − | 0.997640i | \(-0.521874\pi\) |
0.898314 | − | 0.439354i | \(-0.144793\pi\) | |||||||
\(312\) | −0.451799 | + | 21.5851i | −0.0255781 | + | 1.22202i | ||||
\(313\) | −14.5480 | − | 25.1978i | −0.822300 | − | 1.42427i | −0.903965 | − | 0.427606i | \(-0.859357\pi\) |
0.0816651 | − | 0.996660i | \(-0.473976\pi\) | |||||||
\(314\) | −1.59664 | + | 7.90037i | −0.0901034 | + | 0.445843i | ||||
\(315\) | 0.0962363 | + | 2.97948i | 0.00542230 | + | 0.167875i | ||||
\(316\) | −10.1593 | + | 24.1081i | −0.571504 | + | 1.35619i | ||||
\(317\) | −13.8872 | − | 24.0533i | −0.779983 | − | 1.35097i | −0.931951 | − | 0.362585i | \(-0.881894\pi\) |
0.151967 | − | 0.988385i | \(-0.451439\pi\) | |||||||
\(318\) | 6.40197 | − | 2.54140i | 0.359005 | − | 0.142515i | ||||
\(319\) | −4.05424 | − | 2.34072i | −0.226994 | − | 0.131055i | ||||
\(320\) | −1.87255 | + | 2.34971i | −0.104679 | + | 0.131353i | ||||
\(321\) | −14.0126 | + | 27.5929i | −0.782106 | + | 1.54009i | ||||
\(322\) | −18.8546 | − | 19.3409i | −1.05073 | − | 1.07783i | ||||
\(323\) | 10.1494i | 0.564728i | ||||||||
\(324\) | 17.6961 | + | 3.29338i | 0.983119 | + | 0.182965i | ||||
\(325\) | 18.5446 | + | 10.7067i | 1.02867 | + | 0.593901i | ||||
\(326\) | −6.19502 | + | 7.02060i | −0.343111 | + | 0.388835i | ||||
\(327\) | 7.38015 | − | 0.396731i | 0.408123 | − | 0.0219392i | ||||
\(328\) | 6.19015 | − | 9.08254i | 0.341794 | − | 0.501499i | ||||
\(329\) | 24.8101 | − | 11.9381i | 1.36782 | − | 0.658168i | ||||
\(330\) | −2.75909 | + | 3.48756i | −0.151883 | + | 0.191984i | ||||
\(331\) | −0.378164 | − | 0.654999i | −0.0207858 | − | 0.0360020i | 0.855445 | − | 0.517893i | \(-0.173283\pi\) |
−0.876231 | + | 0.481891i | \(0.839950\pi\) | |||||||
\(332\) | 12.2851 | + | 16.2149i | 0.674234 | + | 0.889906i | ||||
\(333\) | 0.170648 | + | 1.58265i | 0.00935146 | + | 0.0867285i | ||||
\(334\) | 3.32880 | + | 9.90584i | 0.182144 | + | 0.542024i | ||||
\(335\) | 2.89704 | 0.158282 | ||||||||
\(336\) | −17.8553 | + | 4.14568i | −0.974089 | + | 0.226165i | ||||
\(337\) | 29.0613 | 1.58307 | 0.791534 | − | 0.611125i | \(-0.209283\pi\) | ||||
0.791534 | + | 0.611125i | \(0.209283\pi\) | |||||||
\(338\) | −2.89288 | − | 8.60863i | −0.157352 | − | 0.468247i | ||||
\(339\) | −10.4894 | − | 16.1048i | −0.569707 | − | 0.874695i | ||||
\(340\) | −1.25400 | − | 1.65513i | −0.0680076 | − | 0.0897618i | ||||
\(341\) | −7.77492 | − | 13.4666i | −0.421036 | − | 0.729255i | ||||
\(342\) | 6.51595 | + | 14.1480i | 0.352342 | + | 0.765036i | ||||
\(343\) | 4.13854 | − | 18.0519i | 0.223460 | − | 0.974713i | ||||
\(344\) | −1.74635 | − | 1.19021i | −0.0941567 | − | 0.0641719i | ||||
\(345\) | −0.252075 | − | 4.68920i | −0.0135713 | − | 0.252458i | ||||
\(346\) | −6.01928 | + | 6.82144i | −0.323598 | + | 0.366723i | ||||
\(347\) | −5.20535 | − | 3.00531i | −0.279438 | − | 0.161334i | 0.353731 | − | 0.935347i | \(-0.384913\pi\) |
−0.633169 | + | 0.774014i | \(0.718246\pi\) | |||||||
\(348\) | 1.13497 | − | 3.15705i | 0.0608409 | − | 0.169236i | ||||
\(349\) | − | 28.4268i | − | 1.52165i | −0.648956 | − | 0.760826i | \(-0.724794\pi\) | ||
0.648956 | − | 0.760826i | \(-0.275206\pi\) | |||||||
\(350\) | −4.92866 | + | 17.4997i | −0.263448 | + | 0.935397i | ||||
\(351\) | −22.6029 | + | 3.67350i | −1.20645 | + | 0.196077i | ||||
\(352\) | −24.3365 | − | 12.4680i | −1.29714 | − | 0.664549i | ||||
\(353\) | 21.7376 | + | 12.5502i | 1.15698 | + | 0.667982i | 0.950578 | − | 0.310486i | \(-0.100492\pi\) |
0.206400 | + | 0.978468i | \(0.433825\pi\) | |||||||
\(354\) | −1.72383 | − | 4.34246i | −0.0916207 | − | 0.230799i | ||||
\(355\) | −1.04398 | − | 1.80822i | −0.0554085 | − | 0.0959704i | ||||
\(356\) | 4.22086 | − | 10.0162i | 0.223705 | − | 0.530857i | ||||
\(357\) | 0.271288 | − | 12.6655i | 0.0143581 | − | 0.670327i | ||||
\(358\) | −4.20970 | + | 20.8302i | −0.222490 | + | 1.10091i | ||||
\(359\) | 10.7300 | + | 18.5850i | 0.566309 | + | 0.980876i | 0.996927 | + | 0.0783417i | \(0.0249625\pi\) |
−0.430617 | + | 0.902535i | \(0.641704\pi\) | |||||||
\(360\) | −2.81063 | − | 1.50213i | −0.148133 | − | 0.0791691i | ||||
\(361\) | 2.76046 | − | 4.78126i | 0.145287 | − | 0.251645i | ||||
\(362\) | 3.93636 | − | 1.32279i | 0.206891 | − | 0.0695244i | ||||
\(363\) | −19.0974 | − | 9.69827i | −1.00235 | − | 0.509027i | ||||
\(364\) | 19.5918 | − | 12.6479i | 1.02689 | − | 0.662930i | ||||
\(365\) | −0.334815 | −0.0175250 | ||||||||
\(366\) | −23.5938 | − | 3.46229i | −1.23327 | − | 0.180977i | ||||
\(367\) | 13.0996 | + | 7.56304i | 0.683792 | + | 0.394788i | 0.801282 | − | 0.598286i | \(-0.204152\pi\) |
−0.117490 | + | 0.993074i | \(0.537485\pi\) | |||||||
\(368\) | 27.9809 | − | 7.13146i | 1.45861 | − | 0.371753i | ||||
\(369\) | 10.6629 | + | 4.71312i | 0.555090 | + | 0.245355i | ||||
\(370\) | 0.0558277 | − | 0.276243i | 0.00290235 | − | 0.0143612i | ||||
\(371\) | −6.14574 | − | 4.19299i | −0.319071 | − | 0.217689i | ||||
\(372\) | 8.50808 | − | 7.19658i | 0.441124 | − | 0.373126i | ||||
\(373\) | −15.7355 | + | 9.08488i | −0.814752 | + | 0.470397i | −0.848603 | − | 0.529029i | \(-0.822556\pi\) |
0.0338512 | + | 0.999427i | \(0.489223\pi\) | |||||||
\(374\) | 12.5039 | − | 14.1702i | 0.646559 | − | 0.732723i | ||||
\(375\) | −5.37401 | + | 3.50021i | −0.277513 | + | 0.180750i | ||||
\(376\) | −2.19469 | + | 29.3519i | −0.113182 | + | 1.51371i | ||||
\(377\) | 4.26805i | 0.219816i | ||||||||
\(378\) | −7.75309 | − | 17.8295i | −0.398776 | − | 0.917048i | ||||
\(379\) | 25.7493 | 1.32265 | 0.661327 | − | 0.750098i | \(-0.269994\pi\) | ||||
0.661327 | + | 0.750098i | \(0.269994\pi\) | |||||||
\(380\) | −0.343215 | − | 2.73632i | −0.0176065 | − | 0.140370i | ||||
\(381\) | −4.83187 | − | 7.41856i | −0.247544 | − | 0.380065i | ||||
\(382\) | −12.6051 | + | 14.2849i | −0.644932 | + | 0.730879i | ||||
\(383\) | 6.66796 | + | 11.5492i | 0.340717 | + | 0.590139i | 0.984566 | − | 0.175013i | \(-0.0559969\pi\) |
−0.643849 | + | 0.765153i | \(0.722664\pi\) | |||||||
\(384\) | 5.69678 | − | 18.7496i | 0.290712 | − | 0.956810i | ||||
\(385\) | 4.78975 | + | 0.360489i | 0.244108 | + | 0.0183722i | ||||
\(386\) | 11.1439 | + | 2.25215i | 0.567212 | + | 0.114631i | ||||
\(387\) | 0.906216 | − | 2.05022i | 0.0460656 | − | 0.104218i | ||||
\(388\) | −8.47476 | + | 6.42087i | −0.430241 | + | 0.325970i | ||||
\(389\) | 10.4385 | − | 18.0801i | 0.529255 | − | 0.916696i | −0.470163 | − | 0.882580i | \(-0.655805\pi\) |
0.999418 | − | 0.0341165i | \(-0.0108617\pi\) | |||||||
\(390\) | 4.01134 | + | 0.588647i | 0.203122 | + | 0.0298073i | ||||
\(391\) | 19.9563i | 1.00923i | ||||||||
\(392\) | 14.5073 | + | 13.4736i | 0.732728 | + | 0.680521i | ||||
\(393\) | −8.34217 | + | 16.4270i | −0.420807 | + | 0.828633i | ||||
\(394\) | 7.94647 | + | 23.6471i | 0.400337 | + | 1.19132i | ||||
\(395\) | 4.25457 | + | 2.45638i | 0.214071 | + | 0.123594i | ||||
\(396\) | 8.33273 | − | 27.7803i | 0.418736 | − | 1.39601i | ||||
\(397\) | −12.4606 | + | 7.19413i | −0.625379 | + | 0.361063i | −0.778960 | − | 0.627073i | \(-0.784253\pi\) |
0.153581 | + | 0.988136i | \(0.450919\pi\) | |||||||
\(398\) | 5.67264 | − | 28.0690i | 0.284344 | − | 1.40697i | ||||
\(399\) | 8.72229 | − | 14.3869i | 0.436661 | − | 0.720245i | ||||
\(400\) | −13.5739 | − | 13.9104i | −0.678694 | − | 0.695520i | ||||
\(401\) | 10.7223 | − | 6.19052i | 0.535446 | − | 0.309140i | −0.207785 | − | 0.978174i | \(-0.566626\pi\) |
0.743231 | + | 0.669035i | \(0.233292\pi\) | |||||||
\(402\) | −17.5613 | + | 6.97134i | −0.875879 | + | 0.347699i | ||||
\(403\) | −7.08837 | + | 12.2774i | −0.353097 | + | 0.611581i | ||||
\(404\) | −3.80025 | − | 30.2980i | −0.189070 | − | 1.50738i | ||||
\(405\) | 1.02722 | − | 3.22031i | 0.0510430 | − | 0.160018i | ||||
\(406\) | −3.51186 | + | 0.893236i | −0.174291 | + | 0.0443306i | ||||
\(407\) | 2.56488 | 0.127136 | ||||||||
\(408\) | 11.5844 | + | 7.01548i | 0.573511 | + | 0.347318i | ||||
\(409\) | 6.18520 | − | 10.7131i | 0.305839 | − | 0.529728i | −0.671609 | − | 0.740906i | \(-0.734397\pi\) |
0.977448 | + | 0.211178i | \(0.0677299\pi\) | |||||||
\(410\) | −1.54766 | − | 1.36566i | −0.0764332 | − | 0.0674452i | ||||
\(411\) | 0.637440 | − | 0.0342665i | 0.0314426 | − | 0.00169024i | ||||
\(412\) | 10.7134 | − | 25.4232i | 0.527814 | − | 1.25251i | ||||
\(413\) | −2.84411 | + | 4.16866i | −0.139949 | + | 0.205126i | ||||
\(414\) | 12.8120 | + | 27.8185i | 0.629674 | + | 1.36720i | ||||
\(415\) | 3.30839 | − | 1.91010i | 0.162402 | − | 0.0937630i | ||||
\(416\) | 1.24958 | + | 24.8985i | 0.0612657 | + | 1.22075i | ||||
\(417\) | −12.6375 | + | 8.23110i | −0.618863 | + | 0.403079i | ||||
\(418\) | 23.7906 | − | 7.99470i | 1.16364 | − | 0.391033i | ||||
\(419\) | 34.6654i | 1.69352i | 0.531977 | + | 0.846759i | \(0.321449\pi\) | ||||
−0.531977 | + | 0.846759i | \(0.678551\pi\) | |||||||
\(420\) | 0.355157 | + | 3.42383i | 0.0173299 | + | 0.167066i | ||||
\(421\) | 14.1870i | 0.691432i | 0.938339 | + | 0.345716i | \(0.112364\pi\) | ||||
−0.938339 | + | 0.345716i | \(0.887636\pi\) | |||||||
\(422\) | 1.82458 | + | 5.42960i | 0.0888194 | + | 0.264309i | ||||
\(423\) | −31.0394 | + | 3.34681i | −1.50919 | + | 0.162727i | ||||
\(424\) | 7.16530 | − | 3.45210i | 0.347978 | − | 0.167649i | ||||
\(425\) | 11.6328 | − | 6.71618i | 0.564272 | − | 0.325783i | ||||
\(426\) | 10.6796 | + | 8.44890i | 0.517430 | + | 0.409351i | ||||
\(427\) | 11.1682 | + | 23.2100i | 0.540466 | + | 1.12321i | ||||
\(428\) | −13.8769 | + | 32.9301i | −0.670765 | + | 1.59174i | ||||
\(429\) | 1.98063 | + | 36.8444i | 0.0956255 | + | 1.77887i | ||||
\(430\) | −0.262583 | + | 0.297576i | −0.0126629 | + | 0.0143504i | ||||
\(431\) | 5.38724 | − | 9.33097i | 0.259494 | − | 0.449457i | −0.706612 | − | 0.707601i | \(-0.749777\pi\) |
0.966107 | + | 0.258144i | \(0.0831108\pi\) | |||||||
\(432\) | 20.6522 | + | 2.34220i | 0.993630 | + | 0.112689i | ||||
\(433\) | −12.9960 | −0.624548 | −0.312274 | − | 0.949992i | \(-0.601091\pi\) | ||||
−0.312274 | + | 0.949992i | \(0.601091\pi\) | |||||||
\(434\) | −11.5857 | − | 3.26302i | −0.556129 | − | 0.156630i | ||||
\(435\) | −0.561720 | − | 0.285260i | −0.0269324 | − | 0.0136772i | ||||
\(436\) | 8.46781 | − | 1.06211i | 0.405535 | − | 0.0508660i | ||||
\(437\) | −13.2516 | + | 22.9525i | −0.633911 | + | 1.09797i | ||||
\(438\) | 2.02959 | − | 0.805688i | 0.0969774 | − | 0.0384973i | ||||
\(439\) | −24.6844 | + | 14.2516i | −1.17812 | + | 0.680190i | −0.955580 | − | 0.294732i | \(-0.904770\pi\) |
−0.222544 | + | 0.974923i | \(0.571436\pi\) | |||||||
\(440\) | −2.89190 | + | 4.24317i | −0.137866 | + | 0.202285i | ||||
\(441\) | −11.2691 | + | 17.7202i | −0.536624 | + | 0.843821i | ||||
\(442\) | −16.8880 | − | 3.41300i | −0.803278 | − | 0.162340i | ||||
\(443\) | −7.81403 | + | 4.51143i | −0.371256 | + | 0.214345i | −0.674007 | − | 0.738725i | \(-0.735428\pi\) |
0.302751 | + | 0.953070i | \(0.402095\pi\) | |||||||
\(444\) | 0.326325 | + | 1.80888i | 0.0154867 | + | 0.0858455i | ||||
\(445\) | −1.76764 | − | 1.02055i | −0.0837943 | − | 0.0483787i | ||||
\(446\) | 16.3076 | − | 5.48009i | 0.772189 | − | 0.259490i | ||||
\(447\) | 23.5782 | + | 11.9738i | 1.11521 | + | 0.566341i | ||||
\(448\) | −20.2256 | + | 6.23905i | −0.955569 | + | 0.294767i | ||||
\(449\) | − | 35.2242i | − | 1.66233i | −0.556023 | − | 0.831167i | \(-0.687673\pi\) | ||
0.556023 | − | 0.831167i | \(-0.312327\pi\) | |||||||
\(450\) | 11.9040 | − | 16.8304i | 0.561158 | − | 0.793395i | ||||
\(451\) | 9.39228 | − | 16.2679i | 0.442265 | − | 0.766025i | ||||
\(452\) | −13.4021 | − | 17.6892i | −0.630384 | − | 0.832030i | ||||
\(453\) | 16.0830 | − | 0.864568i | 0.755648 | − | 0.0406209i | ||||
\(454\) | 4.11709 | − | 20.3719i | 0.193225 | − | 0.956101i | ||||
\(455\) | −1.89877 | − | 3.94608i | −0.0890158 | − | 0.184995i | ||||
\(456\) | 8.66510 | + | 15.7612i | 0.405780 | + | 0.738084i | ||||
\(457\) | 1.94999 | + | 3.37748i | 0.0912165 | + | 0.157992i | 0.908023 | − | 0.418920i | \(-0.137591\pi\) |
−0.816807 | + | 0.576911i | \(0.804258\pi\) | |||||||
\(458\) | −17.2287 | − | 15.2027i | −0.805044 | − | 0.710376i | ||||
\(459\) | −5.09365 | + | 13.4311i | −0.237751 | + | 0.626912i | ||||
\(460\) | −0.674846 | − | 5.38028i | −0.0314648 | − | 0.250857i | ||||
\(461\) | 1.86342 | 0.0867882 | 0.0433941 | − | 0.999058i | \(-0.486183\pi\) | ||||
0.0433941 | + | 0.999058i | \(0.486183\pi\) | |||||||
\(462\) | −29.9020 | + | 9.34068i | −1.39117 | + | 0.434568i | ||||
\(463\) | 10.6477i | 0.494841i | 0.968908 | + | 0.247421i | \(0.0795829\pi\) | ||||
−0.968908 | + | 0.247421i | \(0.920417\pi\) | |||||||
\(464\) | 1.04837 | − | 3.72932i | 0.0486694 | − | 0.173129i | ||||
\(465\) | −1.14208 | − | 1.75348i | −0.0529626 | − | 0.0813157i | ||||
\(466\) | −10.2230 | − | 9.02082i | −0.473570 | − | 0.417881i | ||||
\(467\) | 12.9511 | − | 7.47734i | 0.599307 | − | 0.346010i | −0.169462 | − | 0.985537i | \(-0.554203\pi\) |
0.768769 | + | 0.639527i | \(0.220870\pi\) | |||||||
\(468\) | −25.7325 | + | 6.08449i | −1.18948 | + | 0.281256i | ||||
\(469\) | 16.8584 | + | 11.5018i | 0.778451 | + | 0.531105i | ||||
\(470\) | 5.41777 | + | 1.09491i | 0.249903 | + | 0.0505045i | ||||
\(471\) | −9.85732 | + | 0.529895i | −0.454201 | + | 0.0244163i | ||||
\(472\) | −2.34156 | − | 4.86023i | −0.107779 | − | 0.223710i | ||||
\(473\) | −3.12792 | − | 1.80590i | −0.143822 | − | 0.0830355i | ||||
\(474\) | −31.7014 | − | 4.65204i | −1.45609 | − | 0.213675i | ||||
\(475\) | 17.8391 | 0.818512 | ||||||||
\(476\) | −0.726088 | − | 14.6101i | −0.0332802 | − | 0.669654i | ||||
\(477\) | 4.97689 | + | 6.81150i | 0.227876 | + | 0.311877i | ||||
\(478\) | −8.53929 | − | 25.4112i | −0.390578 | − | 1.16228i | ||||
\(479\) | 4.80660 | − | 8.32527i | 0.219619 | − | 0.380391i | −0.735073 | − | 0.677988i | \(-0.762852\pi\) |
0.954692 | + | 0.297597i | \(0.0961853\pi\) | |||||||
\(480\) | −3.36042 | − | 1.49966i | −0.153382 | − | 0.0684498i | ||||
\(481\) | −1.16919 | − | 2.02510i | −0.0533107 | − | 0.0923368i | ||||
\(482\) | −27.0062 | − | 5.45785i | −1.23010 | − | 0.248598i | ||||
\(483\) | 17.1502 | − | 28.2882i | 0.780361 | − | 1.28716i | ||||
\(484\) | −22.7913 | − | 9.60436i | −1.03597 | − | 0.436562i | ||||
\(485\) | 0.998320 | + | 1.72914i | 0.0453314 | + | 0.0785163i | ||||
\(486\) | 1.52242 | + | 21.9928i | 0.0690584 | + | 0.997613i | ||||
\(487\) | 21.0228 | + | 12.1375i | 0.952635 | + | 0.550004i | 0.893899 | − | 0.448269i | \(-0.147959\pi\) |
0.0587366 | + | 0.998274i | \(0.481293\pi\) | |||||||
\(488\) | −27.4589 | − | 2.05315i | −1.24301 | − | 0.0929418i | ||||
\(489\) | −10.2245 | − | 5.19234i | −0.462368 | − | 0.234806i | ||||
\(490\) | 2.84955 | − | 2.38821i | 0.128730 | − | 0.107888i | ||||
\(491\) | − | 11.4648i | − | 0.517399i | −0.965958 | − | 0.258699i | \(-0.916706\pi\) | ||
0.965958 | − | 0.258699i | \(-0.0832939\pi\) | |||||||
\(492\) | 12.6679 | + | 4.55415i | 0.571112 | + | 0.205317i | ||||
\(493\) | 2.31860 | + | 1.33865i | 0.104425 | + | 0.0602896i | ||||
\(494\) | −17.1571 | − | 15.1396i | −0.771936 | − | 0.681161i | ||||
\(495\) | −4.98149 | − | 2.20187i | −0.223902 | − | 0.0989666i | ||||
\(496\) | 9.20938 | − | 8.98657i | 0.413513 | − | 0.403509i | ||||
\(497\) | 1.10389 | − | 14.6672i | 0.0495163 | − | 0.657913i | ||||
\(498\) | −15.4584 | + | 19.5399i | −0.692709 | + | 0.875602i | ||||
\(499\) | −5.02244 | − | 8.69913i | −0.224835 | − | 0.389426i | 0.731435 | − | 0.681912i | \(-0.238851\pi\) |
−0.956270 | + | 0.292485i | \(0.905518\pi\) | |||||||
\(500\) | −5.90270 | + | 4.47215i | −0.263977 | + | 0.200001i | ||||
\(501\) | −10.7246 | + | 6.98517i | −0.479140 | + | 0.312074i | ||||
\(502\) | 4.52285 | − | 1.51988i | 0.201865 | − | 0.0678355i | ||||
\(503\) | −27.7498 | −1.23730 | −0.618652 | − | 0.785665i | \(-0.712321\pi\) | ||||
−0.618652 | + | 0.785665i | \(0.712321\pi\) | |||||||
\(504\) | −10.3919 | − | 19.9000i | −0.462892 | − | 0.886415i | ||||
\(505\) | −5.73415 | −0.255166 | ||||||||
\(506\) | 46.7783 | − | 15.7196i | 2.07955 | − | 0.698820i | ||||
\(507\) | 9.32017 | − | 6.07043i | 0.413923 | − | 0.269597i | ||||
\(508\) | −6.17359 | − | 8.14839i | −0.273909 | − | 0.361526i | ||||
\(509\) | 0.887907 | + | 1.53790i | 0.0393558 | + | 0.0681662i | 0.885032 | − | 0.465530i | \(-0.154136\pi\) |
−0.845677 | + | 0.533696i | \(0.820803\pi\) | |||||||
\(510\) | 1.57791 | − | 1.99452i | 0.0698711 | − | 0.0883190i | ||||
\(511\) | −1.94835 | − | 1.32928i | −0.0861901 | − | 0.0588040i | ||||
\(512\) | 5.02402 | − | 22.0626i | 0.222032 | − | 0.975039i | ||||
\(513\) | −14.7771 | + | 12.0653i | −0.652426 | + | 0.532697i | ||||
\(514\) | 11.0044 | + | 9.71032i | 0.485382 | + | 0.428304i | ||||
\(515\) | −4.48666 | − | 2.59037i | −0.197706 | − | 0.114145i | ||||
\(516\) | 0.875651 | − | 2.43572i | 0.0385484 | − | 0.107227i | ||||
\(517\) | 50.3032i | 2.21233i | ||||||||
\(518\) | 1.42161 | − | 1.38587i | 0.0624621 | − | 0.0608915i | ||||
\(519\) | −9.93445 | − | 5.04504i | −0.436074 | − | 0.221452i | ||||
\(520\) | 4.66847 | + | 0.349069i | 0.204726 | + | 0.0153077i | ||||
\(521\) | −25.8700 | − | 14.9361i | −1.13339 | − | 0.654361i | −0.188602 | − | 0.982054i | \(-0.560395\pi\) |
−0.944784 | + | 0.327693i | \(0.893729\pi\) | |||||||
\(522\) | 4.09148 | + | 0.377486i | 0.179079 | + | 0.0165221i | ||||
\(523\) | −21.7587 | − | 37.6872i | −0.951442 | − | 1.64795i | −0.742309 | − | 0.670058i | \(-0.766269\pi\) |
−0.209133 | − | 0.977887i | \(-0.567064\pi\) | |||||||
\(524\) | −8.26139 | + | 19.6044i | −0.360901 | + | 0.856424i | ||||
\(525\) | −22.2614 | − | 0.476829i | −0.971566 | − | 0.0208105i | ||||
\(526\) | −26.2780 | − | 5.31070i | −1.14578 | − | 0.231557i | ||||
\(527\) | 4.44645 | + | 7.70147i | 0.193690 | + | 0.335481i | ||||
\(528\) | 7.31956 | − | 32.6803i | 0.318543 | − | 1.42223i | ||||
\(529\) | −14.5560 | + | 25.2117i | −0.632868 | + | 1.09616i | ||||
\(530\) | −0.475761 | − | 1.41577i | −0.0206658 | − | 0.0614972i | ||||
\(531\) | 4.62024 | − | 3.37583i | 0.200501 | − | 0.146498i | ||||
\(532\) | 8.86650 | − | 17.2858i | 0.384412 | − | 0.749435i | ||||
\(533\) | −17.1258 | −0.741801 | ||||||||
\(534\) | 13.1709 | + | 1.93278i | 0.569962 | + | 0.0836395i | ||||
\(535\) | 5.81147 | + | 3.35525i | 0.251252 | + | 0.145060i | ||||
\(536\) | −19.6552 | + | 9.46950i | −0.848976 | + | 0.409020i | ||||
\(537\) | −25.9899 | + | 1.39713i | −1.12155 | + | 0.0602904i | ||||
\(538\) | −32.4877 | − | 6.56565i | −1.40065 | − | 0.283065i | ||||
\(539\) | 26.4413 | + | 21.1140i | 1.13891 | + | 0.909445i | ||||
\(540\) | 0.919077 | − | 3.79333i | 0.0395508 | − | 0.163239i | ||||
\(541\) | 34.4429 | − | 19.8856i | 1.48082 | − | 0.854950i | 0.481052 | − | 0.876692i | \(-0.340255\pi\) |
0.999764 | + | 0.0217423i | \(0.00692133\pi\) | |||||||
\(542\) | 27.7457 | + | 24.4830i | 1.19178 | + | 1.05163i | ||||
\(543\) | 2.77575 | + | 4.26172i | 0.119119 | + | 0.182888i | ||||
\(544\) | 13.9179 | + | 7.13042i | 0.596727 | + | 0.305714i | ||||
\(545\) | − | 1.60261i | − | 0.0686482i | ||||||
\(546\) | 21.0057 | + | 19.3513i | 0.898962 | + | 0.828158i | ||||
\(547\) | −0.868848 | −0.0371493 | −0.0185746 | − | 0.999827i | \(-0.505913\pi\) | ||||
−0.0185746 | + | 0.999827i | \(0.505913\pi\) | |||||||
\(548\) | 0.731384 | − | 0.0917371i | 0.0312432 | − | 0.00391881i | ||||
\(549\) | −3.13097 | − | 29.0376i | −0.133626 | − | 1.23929i | ||||
\(550\) | −24.9061 | − | 21.9773i | −1.06200 | − | 0.937117i | ||||
\(551\) | 1.77781 | + | 3.07926i | 0.0757372 | + | 0.131181i | ||||
\(552\) | 17.0377 | + | 30.9904i | 0.725174 | + | 1.31904i | ||||
\(553\) | 15.0059 | + | 31.1857i | 0.638115 | + | 1.32615i | ||||
\(554\) | −1.80286 | + | 8.92078i | −0.0765961 | + | 0.379008i | ||||
\(555\) | 0.344670 | − | 0.0185282i | 0.0146304 | − | 0.000786479i | ||||
\(556\) | −13.8808 | + | 10.5167i | −0.588677 | + | 0.446008i | ||||
\(557\) | 10.8279 | − | 18.7545i | 0.458793 | − | 0.794653i | −0.540104 | − | 0.841598i | \(-0.681615\pi\) |
0.998897 | + | 0.0469450i | \(0.0149486\pi\) | |||||||
\(558\) | 11.1426 | + | 7.88101i | 0.471703 | + | 0.333630i | ||||
\(559\) | 3.29287i | 0.139274i | ||||||||
\(560\) | 0.689815 | + | 3.91439i | 0.0291500 | + | 0.165413i | ||||
\(561\) | 20.6368 | + | 10.4801i | 0.871288 | + | 0.442468i | ||||
\(562\) | 12.7397 | − | 4.28110i | 0.537392 | − | 0.180587i | ||||
\(563\) | −2.69778 | − | 1.55756i | −0.113698 | − | 0.0656435i | 0.442073 | − | 0.896979i | \(-0.354243\pi\) |
−0.555770 | + | 0.831336i | \(0.687577\pi\) | |||||||
\(564\) | −35.4763 | + | 6.40000i | −1.49382 | + | 0.269489i | ||||
\(565\) | −3.60920 | + | 2.08377i | −0.151840 | + | 0.0876650i | ||||
\(566\) | −35.8755 | − | 7.25032i | −1.50796 | − | 0.304753i | ||||
\(567\) | 18.7629 | − | 14.6613i | 0.787967 | − | 0.615718i | ||||
\(568\) | 12.9934 | + | 8.85560i | 0.545193 | + | 0.371573i | ||||
\(569\) | 12.2778 | − | 7.08859i | 0.514712 | − | 0.297169i | −0.220056 | − | 0.975487i | \(-0.570624\pi\) |
0.734768 | + | 0.678318i | \(0.237291\pi\) | |||||||
\(570\) | 3.13925 | − | 1.24619i | 0.131489 | − | 0.0521972i | ||||
\(571\) | 8.29244 | − | 14.3629i | 0.347028 | − | 0.601070i | −0.638692 | − | 0.769462i | \(-0.720524\pi\) |
0.985720 | + | 0.168392i | \(0.0538576\pi\) | |||||||
\(572\) | 5.30246 | + | 42.2745i | 0.221707 | + | 1.76758i | ||||
\(573\) | −20.8039 | − | 10.5649i | −0.869096 | − | 0.441355i | ||||
\(574\) | −3.58417 | − | 14.0916i | −0.149600 | − | 0.588170i | ||||
\(575\) | 35.0760 | 1.46277 | ||||||||
\(576\) | 23.9790 | + | 1.00425i | 0.999124 | + | 0.0418438i | ||||
\(577\) | 2.31456 | − | 4.00893i | 0.0963563 | − | 0.166894i | −0.813818 | − | 0.581120i | \(-0.802615\pi\) |
0.910174 | + | 0.414226i | \(0.135948\pi\) | |||||||
\(578\) | 8.75610 | − | 9.92298i | 0.364206 | − | 0.412742i | ||||
\(579\) | 0.747449 | + | 13.9043i | 0.0310629 | + | 0.577845i | ||||
\(580\) | −0.670372 | − | 0.282498i | −0.0278357 | − | 0.0117301i | ||||
\(581\) | 26.8356 | + | 2.01972i | 1.11333 | + | 0.0837922i | ||||
\(582\) | −10.2126 | − | 8.07941i | −0.423325 | − | 0.334902i | ||||
\(583\) | 11.7717 | − | 6.79639i | 0.487534 | − | 0.281478i | ||||
\(584\) | 2.27158 | − | 1.09440i | 0.0939987 | − | 0.0452868i | ||||
\(585\) | 0.532315 | + | 4.93687i | 0.0220085 | + | 0.204114i | ||||
\(586\) | 6.70206 | + | 19.9440i | 0.276859 | + | 0.823878i | ||||
\(587\) | 8.36823i | 0.345394i | 0.984975 | + | 0.172697i | \(0.0552481\pi\) | ||||
−0.984975 | + | 0.172697i | \(0.944752\pi\) | |||||||
\(588\) | −11.5266 | + | 21.3340i | −0.475347 | + | 0.879798i | ||||
\(589\) | 11.8103i | 0.486637i | ||||||||
\(590\) | −0.960318 | + | 0.322709i | −0.0395357 | + | 0.0132857i | ||||
\(591\) | −25.6017 | + | 16.6749i | −1.05311 | + | 0.685914i | ||||
\(592\) | 0.524183 | + | 2.05668i | 0.0215438 | + | 0.0845290i | ||||
\(593\) | −40.0030 | + | 23.0957i | −1.64273 | + | 0.948428i | −0.662867 | + | 0.748738i | \(0.730660\pi\) |
−0.979859 | + | 0.199690i | \(0.936006\pi\) | |||||||
\(594\) | 35.4954 | + | 1.36000i | 1.45639 | + | 0.0558016i | ||||
\(595\) | −2.73924 | − | 0.206162i | −0.112298 | − | 0.00845183i | ||||
\(596\) | 28.1389 | + | 11.8579i | 1.15262 | + | 0.485717i | ||||
\(597\) | 35.0218 | − | 1.88265i | 1.43335 | − | 0.0770516i | ||||
\(598\) | −33.7352 | − | 29.7682i | −1.37954 | − | 1.21731i | ||||
\(599\) | 6.73034 | − | 11.6573i | 0.274994 | − | 0.476304i | −0.695139 | − | 0.718875i | \(-0.744657\pi\) |
0.970134 | + | 0.242571i | \(0.0779907\pi\) | |||||||
\(600\) | 12.3307 | − | 20.3612i | 0.503400 | − | 0.831241i | ||||
\(601\) | 26.7076 | 1.08943 | 0.544714 | − | 0.838622i | \(-0.316638\pi\) | ||||
0.544714 | + | 0.838622i | \(0.316638\pi\) | |||||||
\(602\) | −2.70946 | + | 0.689147i | −0.110429 | + | 0.0280875i | ||||
\(603\) | −13.6522 | − | 18.6847i | −0.555959 | − | 0.760899i | ||||
\(604\) | 18.4533 | − | 2.31459i | 0.750855 | − | 0.0941793i | ||||
\(605\) | −2.32221 | + | 4.02219i | −0.0944112 | + | 0.163525i | ||||
\(606\) | 34.7594 | − | 13.7985i | 1.41200 | − | 0.560525i | ||||
\(607\) | −15.4624 | + | 8.92721i | −0.627599 | + | 0.362344i | −0.779821 | − | 0.626002i | \(-0.784690\pi\) |
0.152223 | + | 0.988346i | \(0.451357\pi\) | |||||||
\(608\) | 11.2727 | + | 17.4429i | 0.457169 | + | 0.707405i | ||||
\(609\) | −2.13622 | − | 3.89013i | −0.0865641 | − | 0.157636i | ||||
\(610\) | −1.02430 | + | 5.06837i | −0.0414727 | + | 0.205212i | ||||
\(611\) | 39.7170 | − | 22.9306i | 1.60678 | − | 0.927674i | ||||
\(612\) | −4.76546 | + | 15.8875i | −0.192632 | + | 0.642213i | ||||
\(613\) | −10.6663 | − | 6.15819i | −0.430808 | − | 0.248727i | 0.268883 | − | 0.963173i | \(-0.413345\pi\) |
−0.699691 | + | 0.714446i | \(0.746679\pi\) | |||||||
\(614\) | −6.51627 | − | 19.3911i | −0.262975 | − | 0.782562i | ||||
\(615\) | 1.14462 | − | 2.25394i | 0.0461557 | − | 0.0908875i | ||||
\(616\) | −33.6748 | + | 13.2104i | −1.35680 | + | 0.532262i | ||||
\(617\) | 19.5109i | 0.785478i | 0.919650 | + | 0.392739i | \(0.128472\pi\) | ||||
−0.919650 | + | 0.392739i | \(0.871528\pi\) | |||||||
\(618\) | 33.4307 | + | 4.90581i | 1.34478 | + | 0.197340i | ||||
\(619\) | −6.50490 | + | 11.2668i | −0.261454 | + | 0.452851i | −0.966628 | − | 0.256182i | \(-0.917535\pi\) |
0.705175 | + | 0.709034i | \(0.250869\pi\) | |||||||
\(620\) | −1.45921 | − | 1.92598i | −0.0586034 | − | 0.0773493i | ||||
\(621\) | −29.0555 | + | 23.7234i | −1.16596 | + | 0.951988i | ||||
\(622\) | 40.5627 | + | 8.19758i | 1.62642 | + | 0.328693i | ||||
\(623\) | −6.23448 | − | 12.9567i | −0.249779 | − | 0.519098i | ||||
\(624\) | −29.1394 | + | 9.11807i | −1.16651 | + | 0.365015i | ||||
\(625\) | −11.4520 | − | 19.8355i | −0.458081 | − | 0.793420i | ||||
\(626\) | 27.2253 | − | 30.8534i | 1.08814 | − | 1.23315i | ||||
\(627\) | 16.7761 | + | 25.7570i | 0.669973 | + | 1.02864i | ||||
\(628\) | −11.3101 | + | 1.41861i | −0.451321 | + | 0.0566089i | ||||
\(629\) | −1.46684 | −0.0584869 | ||||||||
\(630\) | −3.95078 | + | 1.47121i | −0.157403 | + | 0.0586145i | ||||
\(631\) | − | 14.6772i | − | 0.584292i | −0.956374 | − | 0.292146i | \(-0.905631\pi\) | ||
0.956374 | − | 0.292146i | \(-0.0943693\pi\) | |||||||
\(632\) | −36.8947 | − | 2.75867i | −1.46759 | − | 0.109734i | ||||
\(633\) | −5.87838 | + | 3.82872i | −0.233645 | + | 0.152178i | ||||
\(634\) | 25.9887 | − | 29.4521i | 1.03214 | − | 1.16969i | ||||
\(635\) | −1.66255 | + | 0.959873i | −0.0659763 | + | 0.0380914i | ||||
\(636\) | 6.29084 | + | 7.43728i | 0.249448 | + | 0.294907i | ||||
\(637\) | 4.61741 | − | 30.5015i | 0.182948 | − | 1.20852i | ||||
\(638\) | 1.31147 | − | 6.48935i | 0.0519218 | − | 0.256916i | ||||
\(639\) | −6.74257 | + | 15.2544i | −0.266732 | + | 0.603453i | ||||
\(640\) | −3.99345 | − | 1.45174i | −0.157855 | − | 0.0573849i | ||||
\(641\) | 17.2820 | + | 9.97777i | 0.682598 | + | 0.394098i | 0.800833 | − | 0.598887i | \(-0.204390\pi\) |
−0.118235 | + | 0.992986i | \(0.537724\pi\) | |||||||
\(642\) | −43.3020 | − | 6.35439i | −1.70899 | − | 0.250788i | ||||
\(643\) | −8.29440 | −0.327099 | −0.163550 | − | 0.986535i | \(-0.552294\pi\) | ||||
−0.163550 | + | 0.986535i | \(0.552294\pi\) | |||||||
\(644\) | 17.4338 | − | 33.9882i | 0.686986 | − | 1.33932i | ||||
\(645\) | −0.433377 | − | 0.220083i | −0.0170642 | − | 0.00866575i | ||||
\(646\) | −13.6058 | + | 4.57214i | −0.535311 | + | 0.179888i | ||||
\(647\) | −4.46446 | + | 7.73268i | −0.175516 | + | 0.304003i | −0.940340 | − | 0.340237i | \(-0.889493\pi\) |
0.764824 | + | 0.644240i | \(0.222826\pi\) | |||||||
\(648\) | 3.55688 | + | 25.2061i | 0.139728 | + | 0.990190i | ||||
\(649\) | −4.61000 | − | 7.98475i | −0.180958 | − | 0.313429i | ||||
\(650\) | −5.99883 | + | 29.6830i | −0.235294 | + | 1.16426i | ||||
\(651\) | 0.315684 | − | 14.7381i | 0.0123726 | − | 0.577633i | ||||
\(652\) | −12.2022 | − | 5.14206i | −0.477875 | − | 0.201379i | ||||
\(653\) | 1.45211 | + | 2.51513i | 0.0568255 | + | 0.0984246i | 0.893039 | − | 0.449980i | \(-0.148569\pi\) |
−0.836213 | + | 0.548404i | \(0.815235\pi\) | |||||||
\(654\) | 3.85646 | + | 9.71471i | 0.150800 | + | 0.379875i | ||||
\(655\) | 3.45977 | + | 1.99750i | 0.135184 | + | 0.0780486i | ||||
\(656\) | 14.9641 | + | 4.20665i | 0.584251 | + | 0.164242i | ||||
\(657\) | 1.57780 | + | 2.15942i | 0.0615558 | + | 0.0842469i | ||||
\(658\) | 27.1801 | + | 27.8811i | 1.05959 | + | 1.08692i | ||||
\(659\) | 17.3517i | 0.675925i | 0.941160 | + | 0.337962i | \(0.109738\pi\) | ||||
−0.941160 | + | 0.337962i | \(0.890262\pi\) | |||||||
\(660\) | −5.91816 | − | 2.12760i | −0.230364 | − | 0.0828168i | ||||
\(661\) | −14.3912 | − | 8.30877i | −0.559753 | − | 0.323174i | 0.193293 | − | 0.981141i | \(-0.438083\pi\) |
−0.753046 | + | 0.657967i | \(0.771416\pi\) | |||||||
\(662\) | 0.707701 | − | 0.802012i | 0.0275056 | − | 0.0311711i | ||||
\(663\) | −1.13271 | − | 21.0712i | −0.0439909 | − | 0.818337i | ||||
\(664\) | −16.2025 | + | 23.7733i | −0.628781 | + | 0.922583i | ||||
\(665\) | −3.01360 | − | 2.05606i | −0.116862 | − | 0.0797305i | ||||
\(666\) | −2.04474 | + | 0.941717i | −0.0792320 | + | 0.0364908i | ||||
\(667\) | 3.49562 | + | 6.05459i | 0.135351 | + | 0.234434i | ||||
\(668\) | −11.7797 | + | 8.92482i | −0.455769 | + | 0.345312i | ||||
\(669\) | 11.4994 | + | 17.6556i | 0.444594 | + | 0.682603i | ||||
\(670\) | 1.30507 | + | 3.88362i | 0.0504191 | + | 0.150037i | ||||
\(671\) | −47.0591 | −1.81669 | ||||||||
\(672\) | −13.6010 | − | 22.0684i | −0.524670 | − | 0.851306i | ||||
\(673\) | 24.8947 | 0.959622 | 0.479811 | − | 0.877372i | \(-0.340705\pi\) | ||||
0.479811 | + | 0.877372i | \(0.340705\pi\) | |||||||
\(674\) | 13.0916 | + | 38.9580i | 0.504270 | + | 1.50061i | ||||
\(675\) | 23.6072 | + | 8.95283i | 0.908641 | + | 0.344595i | ||||
\(676\) | 10.2371 | − | 7.75608i | 0.393734 | − | 0.298311i | ||||
\(677\) | 4.56843 | + | 7.91276i | 0.175579 | + | 0.304112i | 0.940362 | − | 0.340177i | \(-0.110487\pi\) |
−0.764782 | + | 0.644289i | \(0.777154\pi\) | |||||||
\(678\) | 16.8640 | − | 21.3165i | 0.647657 | − | 0.818656i | ||||
\(679\) | −1.05562 | + | 14.0258i | −0.0405108 | + | 0.538259i | ||||
\(680\) | 1.65387 | − | 2.42665i | 0.0634229 | − | 0.0930578i | ||||
\(681\) | 25.4181 | − | 1.36639i | 0.974024 | − | 0.0523601i | ||||
\(682\) | 14.5501 | − | 16.4891i | 0.557151 | − | 0.631400i | ||||
\(683\) | 13.5982 | + | 7.85092i | 0.520320 | + | 0.300407i | 0.737066 | − | 0.675821i | \(-0.236211\pi\) |
−0.216745 | + | 0.976228i | \(0.569544\pi\) | |||||||
\(684\) | −16.0307 | + | 15.1084i | −0.612950 | + | 0.577683i | ||||
\(685\) | − | 0.138421i | − | 0.00528879i | ||||||
\(686\) | 26.0638 | − | 2.58418i | 0.995121 | − | 0.0986643i | ||||
\(687\) | 12.7421 | − | 25.0911i | 0.486141 | − | 0.957286i | ||||
\(688\) | 0.808836 | − | 2.87723i | 0.0308366 | − | 0.109693i | ||||
\(689\) | −10.7322 | − | 6.19625i | −0.408865 | − | 0.236058i | ||||
\(690\) | 6.17254 | − | 2.45032i | 0.234985 | − | 0.0932822i | ||||
\(691\) | −0.617408 | − | 1.06938i | −0.0234873 | − | 0.0406812i | 0.854043 | − | 0.520203i | \(-0.174144\pi\) |
−0.877530 | + | 0.479521i | \(0.840810\pi\) | |||||||
\(692\) | −11.8560 | − | 4.99618i | −0.450699 | − | 0.189926i | ||||
\(693\) | −20.2464 | − | 32.5906i | −0.769099 | − | 1.23802i | ||||
\(694\) | 1.68384 | − | 8.33186i | 0.0639177 | − | 0.316273i | ||||
\(695\) | 1.63515 | + | 2.83216i | 0.0620246 | + | 0.107430i | ||||
\(696\) | 4.74346 | + | 0.0992857i | 0.179801 | + | 0.00376341i | ||||
\(697\) | −5.37140 | + | 9.30355i | −0.203456 | + | 0.352397i | ||||
\(698\) | 38.1075 | − | 12.8058i | 1.44239 | − | 0.484706i | ||||
\(699\) | 7.56077 | − | 14.8883i | 0.285974 | − | 0.563127i | ||||
\(700\) | −25.6794 | + | 1.27620i | −0.970591 | + | 0.0482360i | ||||
\(701\) | −28.0365 | −1.05892 | −0.529462 | − | 0.848333i | \(-0.677606\pi\) | ||||
−0.529462 | + | 0.848333i | \(0.677606\pi\) | |||||||
\(702\) | −15.1067 | − | 28.6454i | −0.570166 | − | 1.08115i | ||||
\(703\) | −1.68707 | − | 0.974031i | −0.0636291 | − | 0.0367363i | ||||
\(704\) | 5.75082 | − | 38.2409i | 0.216742 | − | 1.44126i | ||||
\(705\) | 0.363382 | + | 6.75977i | 0.0136857 | + | 0.254588i | ||||
\(706\) | −7.03174 | + | 34.7940i | −0.264643 | + | 1.30949i | ||||
\(707\) | −33.3682 | − | 22.7657i | −1.25494 | − | 0.856194i | ||||
\(708\) | 5.04471 | − | 4.26708i | 0.189592 | − | 0.160367i | ||||
\(709\) | −17.7860 | + | 10.2687i | −0.667966 | + | 0.385650i | −0.795305 | − | 0.606209i | \(-0.792690\pi\) |
0.127340 | + | 0.991859i | \(0.459356\pi\) | |||||||
\(710\) | 1.95371 | − | 2.21407i | 0.0733214 | − | 0.0830926i | ||||
\(711\) | −4.20686 | − | 39.0158i | −0.157770 | − | 1.46321i | ||||
\(712\) | 15.3286 | + | 1.14614i | 0.574463 | + | 0.0429535i | ||||
\(713\) | 23.2221i | 0.869673i | ||||||||
\(714\) | 17.1008 | − | 5.34189i | 0.639983 | − | 0.199915i | ||||
\(715\) | 8.00081 | 0.299213 | ||||||||
\(716\) | −29.8202 | + | 3.74033i | −1.11443 | + | 0.139783i | ||||
\(717\) | 27.5116 | − | 17.9189i | 1.02744 | − | 0.669193i | ||||
\(718\) | −20.0803 | + | 22.7563i | −0.749390 | + | 0.849258i | ||||
\(719\) | −1.30734 | − | 2.26437i | −0.0487554 | − | 0.0844469i | 0.840618 | − | 0.541629i | \(-0.182192\pi\) |
−0.889373 | + | 0.457182i | \(0.848859\pi\) | |||||||
\(720\) | 0.747530 | − | 4.44447i | 0.0278588 | − | 0.165636i | ||||
\(721\) | −15.8244 | − | 32.8868i | −0.589333 | − | 1.22477i | ||||
\(722\) | 7.65304 | + | 1.54665i | 0.284817 | + | 0.0575604i | ||||
\(723\) | −1.81136 | − | 33.6957i | −0.0673653 | − | 1.25316i | ||||
\(724\) | 3.54653 | + | 4.68098i | 0.131806 | + | 0.173967i | ||||
\(725\) | 2.35287 | − | 4.07528i | 0.0873832 | − | 0.151352i | ||||
\(726\) | 4.39794 | − | 29.9698i | 0.163223 | − | 1.11228i | ||||
\(727\) | − | 29.9784i | − | 1.11184i | −0.831237 | − | 0.555918i | \(-0.812367\pi\) | ||
0.831237 | − | 0.555918i | \(-0.187633\pi\) | |||||||
\(728\) | 25.7809 | + | 20.5661i | 0.955503 | + | 0.762229i | ||||
\(729\) | −25.6104 | + | 8.55040i | −0.948532 | + | 0.316681i | ||||
\(730\) | −0.150828 | − | 0.448835i | −0.00558241 | − | 0.0166121i | ||||
\(731\) | 1.78884 | + | 1.03279i | 0.0661627 | + | 0.0381991i | ||||
\(732\) | −5.98725 | − | 33.1883i | −0.221295 | − | 1.22668i | ||||
\(733\) | 31.4773 | − | 18.1734i | 1.16264 | − | 0.671250i | 0.210705 | − | 0.977550i | \(-0.432424\pi\) |
0.951935 | + | 0.306299i | \(0.0990909\pi\) | |||||||
\(734\) | −4.23748 | + | 20.9676i | −0.156408 | + | 0.773929i | ||||
\(735\) | 3.70572 | + | 2.64631i | 0.136687 | + | 0.0976105i | ||||
\(736\) | 22.1650 | + | 34.2972i | 0.817012 | + | 1.26421i | ||||
\(737\) | −32.2911 | + | 18.6433i | −1.18946 | + | 0.686733i | ||||
\(738\) | −1.51469 | + | 16.4173i | −0.0557564 | + | 0.604331i | ||||
\(739\) | −15.0194 | + | 26.0143i | −0.552497 | + | 0.956952i | 0.445597 | + | 0.895234i | \(0.352991\pi\) |
−0.998094 | + | 0.0617187i | \(0.980342\pi\) | |||||||
\(740\) | 0.395466 | − | 0.0496031i | 0.0145376 | − | 0.00182345i | ||||
\(741\) | 12.6892 | − | 24.9869i | 0.466148 | − | 0.917917i | ||||
\(742\) | 2.85235 | − | 10.1275i | 0.104713 | − | 0.371793i | ||||
\(743\) | 22.3057 | 0.818315 | 0.409158 | − | 0.912464i | \(-0.365823\pi\) | ||||
0.409158 | + | 0.912464i | \(0.365823\pi\) | |||||||
\(744\) | 13.4801 | + | 8.16355i | 0.494205 | + | 0.299290i | ||||
\(745\) | 2.86708 | − | 4.96592i | 0.105042 | − | 0.181937i | ||||
\(746\) | −19.2673 | − | 17.0016i | −0.705425 | − | 0.622471i | ||||
\(747\) | −27.9099 | − | 12.3365i | −1.02117 | − | 0.451368i | ||||
\(748\) | 24.6286 | + | 10.3786i | 0.900509 | + | 0.379478i | ||||
\(749\) | 20.4971 | + | 42.5976i | 0.748946 | + | 1.55648i | ||||
\(750\) | −7.11310 | − | 5.62733i | −0.259734 | − | 0.205481i | ||||
\(751\) | −3.14957 | + | 1.81840i | −0.114929 | + | 0.0663545i | −0.556363 | − | 0.830940i | \(-0.687803\pi\) |
0.441433 | + | 0.897294i | \(0.354470\pi\) | |||||||
\(752\) | −40.3363 | + | 10.2804i | −1.47091 | + | 0.374889i | ||||
\(753\) | 3.18932 | + | 4.89669i | 0.116225 | + | 0.178445i | ||||
\(754\) | −5.72151 | + | 1.92268i | −0.208365 | + | 0.0700199i | ||||
\(755\) | − | 3.49245i | − | 0.127103i | ||||||
\(756\) | 20.4086 | − | 18.4252i | 0.742253 | − | 0.670120i | ||||
\(757\) | − | 4.37925i | − | 0.159166i | −0.996828 | − | 0.0795832i | \(-0.974641\pi\) | ||
0.996828 | − | 0.0795832i | \(-0.0253589\pi\) | |||||||
\(758\) | 11.5996 | + | 34.5182i | 0.421318 | + | 1.25376i | ||||
\(759\) | 32.9860 | + | 50.6448i | 1.19732 | + | 1.83829i | ||||
\(760\) | 3.51355 | − | 1.69276i | 0.127450 | − | 0.0614029i | ||||
\(761\) | 8.55783 | − | 4.94087i | 0.310221 | − | 0.179106i | −0.336804 | − | 0.941575i | \(-0.609346\pi\) |
0.647025 | + | 0.762468i | \(0.276013\pi\) | |||||||
\(762\) | 7.76826 | − | 9.81928i | 0.281414 | − | 0.355715i | ||||
\(763\) | 6.36267 | − | 9.32589i | 0.230344 | − | 0.337620i | ||||
\(764\) | −24.8280 | − | 10.4626i | −0.898244 | − | 0.378524i | ||||
\(765\) | 2.84890 | + | 1.25924i | 0.103002 | + | 0.0455279i | ||||
\(766\) | −12.4785 | + | 14.1415i | −0.450867 | + | 0.510951i | ||||
\(767\) | −4.20292 | + | 7.27967i | −0.151759 | + | 0.262854i | ||||
\(768\) | 27.7010 | − | 0.809569i | 0.999573 | − | 0.0292128i | ||||
\(769\) | −8.64146 | −0.311619 | −0.155810 | − | 0.987787i | \(-0.549799\pi\) | ||||
−0.155810 | + | 0.987787i | \(0.549799\pi\) | |||||||
\(770\) | 1.67445 | + | 6.58327i | 0.0603428 | + | 0.237245i | ||||
\(771\) | −8.13867 | + | 16.0263i | −0.293107 | + | 0.577173i | ||||
\(772\) | 2.00104 | + | 15.9535i | 0.0720191 | + | 0.574180i | ||||
\(773\) | 4.09325 | − | 7.08972i | 0.147224 | − | 0.254999i | −0.782976 | − | 0.622051i | \(-0.786300\pi\) |
0.930200 | + | 0.367052i | \(0.119633\pi\) | |||||||
\(774\) | 3.15665 | + | 0.291237i | 0.113463 | + | 0.0104683i | ||||
\(775\) | 13.5365 | − | 7.81527i | 0.486244 | − | 0.280733i | ||||
\(776\) | −12.4252 | − | 8.46832i | −0.446039 | − | 0.303995i | ||||
\(777\) | 2.07926 | + | 1.26059i | 0.0745931 | + | 0.0452234i | ||||
\(778\) | 28.9396 | + | 5.84858i | 1.03753 | + | 0.209682i | ||||
\(779\) | −12.3557 | + | 7.13357i | −0.442689 | + | 0.255587i | ||||
\(780\) | 1.01793 | + | 5.64256i | 0.0364478 | + | 0.202036i | ||||
\(781\) | 23.2728 | + | 13.4366i | 0.832767 | + | 0.480798i | ||||
\(782\) | −26.7523 | + | 8.98996i | −0.956661 | + | 0.321480i | ||||
\(783\) | 0.807273 | + | 4.96713i | 0.0288496 | + | 0.177511i | ||||
\(784\) | −11.5268 | + | 25.5173i | −0.411670 | + | 0.911333i | ||||
\(785\) | 2.14053i | 0.0763987i | ||||||||
\(786\) | −25.7792 | − | 3.78298i | −0.919513 | − | 0.134934i | ||||
\(787\) | 17.2602 | − | 29.8955i | 0.615259 | − | 1.06566i | −0.375081 | − | 0.926992i | \(-0.622385\pi\) |
0.990339 | − | 0.138667i | \(-0.0442817\pi\) | |||||||
\(788\) | −28.1203 | + | 21.3052i | −1.00174 | + | 0.758967i | ||||
\(789\) | −1.76253 | − | 32.7872i | −0.0627476 | − | 1.16726i | ||||
\(790\) | −1.37628 | + | 6.81001i | −0.0489658 | + | 0.242289i | ||||
\(791\) | −29.2757 | − | 2.20336i | −1.04092 | − | 0.0783426i | ||||
\(792\) | 40.9946 | − | 1.34415i | 1.45668 | − | 0.0477624i | ||||
\(793\) | 21.4518 | + | 37.1556i | 0.761775 | + | 1.31943i | ||||
\(794\) | −15.2573 | − | 13.4632i | −0.541463 | − | 0.477790i | ||||
\(795\) | 1.53279 | − | 0.998340i | 0.0543625 | − | 0.0354075i | ||||
\(796\) | 40.1832 | − | 5.04015i | 1.42426 | − | 0.178644i | ||||
\(797\) | −3.97273 | −0.140721 | −0.0703607 | − | 0.997522i | \(-0.522415\pi\) | ||||
−0.0703607 | + | 0.997522i | \(0.522415\pi\) | |||||||
\(798\) | 23.2155 | + | 5.21160i | 0.821821 | + | 0.184489i | ||||
\(799\) | − | 28.7682i | − | 1.01775i | ||||||
\(800\) | 12.5327 | − | 24.4628i | 0.443100 | − | 0.864891i | ||||
\(801\) | 1.74782 | + | 16.2098i | 0.0617561 | + | 0.572747i | ||||
\(802\) | 13.1289 | + | 11.5850i | 0.463597 | + | 0.409081i | ||||
\(803\) | 3.73193 | − | 2.15463i | 0.131697 | − | 0.0760352i | ||||
\(804\) | −17.2565 | − | 20.4013i | −0.608589 | − | 0.719498i | ||||
\(805\) | −5.92549 | − | 4.04272i | −0.208846 | − | 0.142487i | ||||
\(806\) | −19.6516 | − | 3.97152i | −0.692199 | − | 0.139891i | ||||
\(807\) | −2.17902 | − | 40.5351i | −0.0767052 | − | 1.42690i | ||||
\(808\) | 38.9039 | − | 18.7431i | 1.36863 | − | 0.659381i | ||||
\(809\) | −47.3518 | − | 27.3386i | −1.66480 | − | 0.961174i | −0.970373 | − | 0.241612i | \(-0.922324\pi\) |
−0.694429 | − | 0.719561i | \(-0.744343\pi\) | |||||||
\(810\) | 4.77972 | − | 0.0736545i | 0.167942 | − | 0.00258796i | ||||
\(811\) | −28.8907 | −1.01449 | −0.507245 | − | 0.861802i | \(-0.669336\pi\) | ||||
−0.507245 | + | 0.861802i | \(0.669336\pi\) | |||||||
\(812\) | −2.77946 | − | 4.30542i | −0.0975398 | − | 0.151091i | ||||
\(813\) | −20.5203 | + | 40.4077i | −0.719679 | + | 1.41716i | ||||
\(814\) | 1.15543 | + | 3.43834i | 0.0404979 | + | 0.120514i | ||||
\(815\) | −1.24328 | + | 2.15343i | −0.0435503 | + | 0.0754313i | ||||
\(816\) | −4.18603 | + | 18.6897i | −0.146540 | + | 0.654271i | ||||
\(817\) | 1.37161 | + | 2.37570i | 0.0479866 | + | 0.0831152i | ||||
\(818\) | 17.1477 | + | 3.46549i | 0.599556 | + | 0.121168i | ||||
\(819\) | −16.5027 | + | 30.8420i | −0.576651 | + | 1.07771i | ||||
\(820\) | 1.13354 | − | 2.68991i | 0.0395849 | − | 0.0939358i | ||||
\(821\) | −4.69169 | − | 8.12624i | −0.163741 | − | 0.283608i | 0.772466 | − | 0.635056i | \(-0.219023\pi\) |
−0.936207 | + | 0.351448i | \(0.885689\pi\) | |||||||
\(822\) | 0.333092 | + | 0.839082i | 0.0116179 | + | 0.0292663i | ||||
\(823\) | −9.28551 | − | 5.36099i | −0.323672 | − | 0.186872i | 0.329356 | − | 0.944206i | \(-0.393168\pi\) |
−0.653028 | + | 0.757333i | \(0.726502\pi\) | |||||||
\(824\) | 38.9072 | + | 2.90916i | 1.35540 | + | 0.101345i | ||||
\(825\) | 18.4202 | − | 36.2722i | 0.641310 | − | 1.26284i | ||||
\(826\) | −6.86950 | − | 1.93475i | −0.239021 | − | 0.0673185i | ||||
\(827\) | − | 39.1339i | − | 1.36082i | −0.732833 | − | 0.680409i | \(-0.761802\pi\) | ||
0.732833 | − | 0.680409i | \(-0.238198\pi\) | |||||||
\(828\) | −31.5204 | + | 29.7068i | −1.09541 | + | 1.03238i | ||||
\(829\) | −30.9237 | − | 17.8538i | −1.07403 | − | 0.620089i | −0.144747 | − | 0.989469i | \(-0.546237\pi\) |
−0.929279 | + | 0.369380i | \(0.879570\pi\) | |||||||
\(830\) | 4.05095 | + | 3.57458i | 0.140610 | + | 0.124075i | ||||
\(831\) | −11.1305 | + | 0.598336i | −0.386113 | + | 0.0207561i | ||||
\(832\) | −32.8146 | + | 12.8915i | −1.13764 | + | 0.446931i | ||||
\(833\) | −15.1217 | − | 12.0750i | −0.523934 | − | 0.418375i | ||||
\(834\) | −16.7272 | − | 13.2332i | −0.579214 | − | 0.458230i | ||||
\(835\) | 1.38764 | + | 2.40346i | 0.0480212 | + | 0.0831751i | ||||
\(836\) | 21.4345 | + | 28.2910i | 0.741329 | + | 0.978463i | ||||
\(837\) | −5.92722 | + | 15.6291i | −0.204875 | + | 0.540221i | ||||
\(838\) | −46.4706 | + | 15.6162i | −1.60530 | + | 0.539452i | ||||
\(839\) | 8.55082 | 0.295207 | 0.147604 | − | 0.989047i | \(-0.452844\pi\) | ||||
0.147604 | + | 0.989047i | \(0.452844\pi\) | |||||||
\(840\) | −4.42981 | + | 2.01848i | −0.152843 | + | 0.0696442i | ||||
\(841\) | −28.0621 | −0.967658 | ||||||||
\(842\) | −19.0183 | + | 6.39099i | −0.655415 | + | 0.220248i | ||||
\(843\) | 8.98349 | + | 13.7927i | 0.309408 | + | 0.475046i | ||||
\(844\) | −6.45668 | + | 4.89188i | −0.222248 | + | 0.168385i | ||||
\(845\) | −1.20592 | − | 2.08871i | −0.0414849 | − | 0.0718539i | ||||
\(846\) | −18.4693 | − | 40.1021i | −0.634986 | − | 1.37874i | ||||
\(847\) | −29.4823 | + | 14.1863i | −1.01302 | + | 0.487445i | ||||
\(848\) | 7.85555 | + | 8.05031i | 0.269761 | + | 0.276449i | ||||
\(849\) | −2.40625 | − | 44.7620i | −0.0825823 | − | 1.53623i | ||||
\(850\) | 14.2437 | + | 12.5687i | 0.488556 | + | 0.431105i | ||||
\(851\) | −3.31720 | − | 1.91519i | −0.113712 | − | 0.0656518i | ||||
\(852\) | −6.51516 | + | 18.1226i | −0.223206 | + | 0.620871i | ||||
\(853\) | − | 8.40371i | − | 0.287738i | −0.989597 | − | 0.143869i | \(-0.954046\pi\) | ||
0.989597 | − | 0.143869i | \(-0.0459543\pi\) | |||||||
\(854\) | −26.0830 | + | 25.4272i | −0.892543 | + | 0.870100i | ||||
\(855\) | 2.44045 | + | 3.34006i | 0.0834616 | + | 0.114228i | ||||
\(856\) | −50.3957 | − | 3.76817i | −1.72249 | − | 0.128793i | ||||
\(857\) | 23.5863 | + | 13.6175i | 0.805692 | + | 0.465166i | 0.845457 | − | 0.534043i | \(-0.179328\pi\) |
−0.0397658 | + | 0.999209i | \(0.512661\pi\) | |||||||
\(858\) | −48.4994 | + | 19.2529i | −1.65574 | + | 0.657283i | ||||
\(859\) | 17.5259 | + | 30.3557i | 0.597975 | + | 1.03572i | 0.993120 | + | 0.117105i | \(0.0373612\pi\) |
−0.395144 | + | 0.918619i | \(0.629305\pi\) | |||||||
\(860\) | −0.517203 | − | 0.217952i | −0.0176365 | − | 0.00743209i | ||||
\(861\) | 15.6094 | − | 8.57173i | 0.531966 | − | 0.292124i | ||||
\(862\) | 14.9355 | + | 3.01840i | 0.508704 | + | 0.102807i | ||||
\(863\) | −3.49489 | − | 6.05332i | −0.118967 | − | 0.206057i | 0.800391 | − | 0.599478i | \(-0.204625\pi\) |
−0.919359 | + | 0.393420i | \(0.871292\pi\) | |||||||
\(864\) | 6.16364 | + | 28.7404i | 0.209691 | + | 0.977768i | ||||
\(865\) | −1.20801 | + | 2.09234i | −0.0410736 | + | 0.0711416i | ||||
\(866\) | −5.85448 | − | 17.4217i | −0.198943 | − | 0.592015i | ||||
\(867\) | 14.4514 | + | 7.33889i | 0.490795 | + | 0.249242i | ||||
\(868\) | −0.844910 | − | 17.0010i | −0.0286781 | − | 0.577053i | ||||
\(869\) | −63.2299 | −2.14493 | ||||||||
\(870\) | 0.129359 | − | 0.881517i | 0.00438567 | − | 0.0298862i | ||||
\(871\) | 29.4396 | + | 16.9970i | 0.997524 | + | 0.575921i | ||||
\(872\) | 5.23841 | + | 10.8730i | 0.177395 | + | 0.368207i | ||||
\(873\) | 6.44770 | − | 14.5872i | 0.218222 | − | 0.493704i | ||||
\(874\) | −36.7385 | − | 7.42471i | −1.24270 | − | 0.251145i | ||||
\(875\) | −0.735239 | + | 9.76898i | −0.0248556 | + | 0.330252i | ||||
\(876\) | 1.99436 | + | 2.35781i | 0.0673831 | + | 0.0796629i | ||||
\(877\) | −11.7109 | + | 6.76132i | −0.395450 | + | 0.228313i | −0.684519 | − | 0.728995i | \(-0.739988\pi\) |
0.289069 | + | 0.957308i | \(0.406654\pi\) | |||||||
\(878\) | −30.2248 | − | 26.6706i | −1.02004 | − | 0.900088i | ||||
\(879\) | −21.5925 | + | 14.0636i | −0.728296 | + | 0.474355i | ||||
\(880\) | −6.99091 | − | 1.96526i | −0.235664 | − | 0.0662488i | ||||
\(881\) | 5.67542i | 0.191210i | 0.995419 | + | 0.0956049i | \(0.0304785\pi\) | ||||
−0.995419 | + | 0.0956049i | \(0.969521\pi\) | |||||||
\(882\) | −28.8314 | − | 7.12410i | −0.970802 | − | 0.239881i | ||||
\(883\) | −9.31426 | −0.313450 | −0.156725 | − | 0.987642i | \(-0.550094\pi\) | ||||
−0.156725 | + | 0.987642i | \(0.550094\pi\) | |||||||
\(884\) | −3.03245 | − | 24.1766i | −0.101992 | − | 0.813147i | ||||
\(885\) | −0.677175 | − | 1.03969i | −0.0227630 | − | 0.0349489i | ||||
\(886\) | −9.56787 | − | 8.44275i | −0.321439 | − | 0.283640i | ||||
\(887\) | 21.1355 | + | 36.6077i | 0.709660 | + | 1.22917i | 0.964983 | + | 0.262312i | \(0.0844848\pi\) |
−0.255323 | + | 0.966856i | \(0.582182\pi\) | |||||||
\(888\) | −2.27788 | + | 1.25232i | −0.0764406 | + | 0.0420252i | ||||
\(889\) | −13.4856 | − | 1.01496i | −0.452292 | − | 0.0340407i | ||||
\(890\) | 0.571801 | − | 2.82935i | 0.0191668 | − | 0.0948399i | ||||
\(891\) | 9.27393 | + | 42.5048i | 0.310688 | + | 1.42396i | ||||
\(892\) | 14.6926 | + | 19.3925i | 0.491945 | + | 0.649308i | ||||
\(893\) | 19.1030 | − | 33.0874i | 0.639258 | − | 1.10723i | ||||
\(894\) | −5.42985 | + | 37.0017i | −0.181601 | + | 1.23752i | ||||
\(895\) | 5.64374i | 0.188649i | ||||||||
\(896\) | −17.4750 | − | 24.3028i | −0.583799 | − | 0.811898i | ||||
\(897\) | 24.9501 | − | 49.1305i | 0.833059 | − | 1.64042i | ||||
\(898\) | 47.2197 | − | 15.8679i | 1.57574 | − | 0.529519i | ||||
\(899\) | 2.69804 | + | 1.55771i | 0.0899846 | + | 0.0519526i | ||||
\(900\) | 27.9245 | + | 8.37598i | 0.930817 | + | 0.279199i | ||||
\(901\) | −6.73219 | + | 3.88683i | −0.224282 | + | 0.129489i | ||||
\(902\) | 26.0389 | + | 5.26238i | 0.867002 | + | 0.175218i | ||||
\(903\) | −1.64813 | − | 3.00130i | −0.0548464 | − | 0.0998769i | ||||
\(904\) | 17.6758 | − | 25.9349i | 0.587887 | − | 0.862581i | ||||
\(905\) | 0.955081 | − | 0.551416i | 0.0317480 | − | 0.0183297i | ||||
\(906\) | 8.40413 | + | 21.1706i | 0.279209 | + | 0.703346i | ||||
\(907\) | −0.140326 | + | 0.243051i | −0.00465943 | + | 0.00807037i | −0.868346 | − | 0.495959i | \(-0.834816\pi\) |
0.863686 | + | 0.504030i | \(0.168150\pi\) | |||||||
\(908\) | 29.1642 | − | 3.65804i | 0.967847 | − | 0.121396i | ||||
\(909\) | 27.0219 | + | 36.9829i | 0.896260 | + | 1.22664i | ||||
\(910\) | 4.43454 | − | 4.32303i | 0.147004 | − | 0.143307i | ||||
\(911\) | 31.2924 | 1.03676 | 0.518382 | − | 0.855149i | \(-0.326535\pi\) | ||||
0.518382 | + | 0.855149i | \(0.326535\pi\) | |||||||
\(912\) | −17.2251 | + | 18.7161i | −0.570380 | + | 0.619752i | ||||
\(913\) | −24.5840 | + | 42.5808i | −0.813613 | + | 1.40922i | ||||
\(914\) | −3.64923 | + | 4.13554i | −0.120706 | + | 0.136792i | ||||
\(915\) | −6.32382 | + | 0.339946i | −0.209059 | + | 0.0112383i | ||||
\(916\) | 12.6187 | − | 29.9444i | 0.416934 | − | 0.989392i | ||||
\(917\) | 12.2026 | + | 25.3598i | 0.402965 | + | 0.837454i | ||||
\(918\) | −20.2997 | − | 0.777780i | −0.669989 | − | 0.0256706i | ||||
\(919\) | 9.61418 | − | 5.55075i | 0.317142 | − | 0.183102i | −0.332976 | − | 0.942935i | \(-0.608053\pi\) |
0.650118 | + | 0.759833i | \(0.274719\pi\) | |||||||
\(920\) | 6.90852 | − | 3.32839i | 0.227767 | − | 0.109734i | ||||
\(921\) | 20.9939 | − | 13.6738i | 0.691772 | − | 0.450566i | ||||
\(922\) | 0.839440 | + | 2.49800i | 0.0276455 | + | 0.0822674i | ||||
\(923\) | − | 24.5001i | − | 0.806432i | ||||||
\(924\) | −25.9920 | − | 35.8772i | −0.855073 | − | 1.18027i | ||||
\(925\) | 2.57819i | 0.0847703i | ||||||||
\(926\) | −14.2738 | + | 4.79661i | −0.469065 | + | 0.157626i | ||||
\(927\) | 4.43634 | + | 41.1441i | 0.145708 | + | 1.35135i | ||||
\(928\) | 5.47159 | − | 0.274603i | 0.179614 | − | 0.00901429i | ||||
\(929\) | 33.0317 | − | 19.0708i | 1.08373 | − | 0.625694i | 0.151832 | − | 0.988406i | \(-0.451483\pi\) |
0.931901 | + | 0.362712i | \(0.118149\pi\) | |||||||
\(930\) | 1.83613 | − | 2.32092i | 0.0602092 | − | 0.0761060i | ||||
\(931\) | −9.37378 | − | 23.9292i | −0.307213 | − | 0.784248i | ||||
\(932\) | 7.48755 | − | 17.7681i | 0.245263 | − | 0.582014i | ||||
\(933\) | 2.72063 | + | 50.6103i | 0.0890694 | + | 1.65691i | ||||
\(934\) | 15.8580 | + | 13.9932i | 0.518889 | + | 0.457871i | ||||
\(935\) | 2.50941 | − | 4.34642i | 0.0820663 | − | 0.142143i | ||||
\(936\) | −19.7486 | − | 31.7546i | −0.645503 | − | 1.03793i | ||||
\(937\) | −20.6649 | −0.675091 | −0.337546 | − | 0.941309i | \(-0.609597\pi\) | ||||
−0.337546 | + | 0.941309i | \(0.609597\pi\) | |||||||
\(938\) | −7.82430 | + | 27.7809i | −0.255472 | + | 0.907079i | ||||
\(939\) | 44.9336 | + | 22.8187i | 1.46635 | + | 0.744662i | ||||
\(940\) | 0.972832 | + | 7.75601i | 0.0317303 | + | 0.252973i | ||||
\(941\) | 19.3704 | − | 33.5506i | 0.631458 | − | 1.09372i | −0.355796 | − | 0.934564i | \(-0.615790\pi\) |
0.987254 | − | 0.159154i | \(-0.0508766\pi\) | |||||||
\(942\) | −5.15090 | − | 12.9755i | −0.167825 | − | 0.422764i | ||||
\(943\) | −24.2944 | + | 14.0264i | −0.791135 | + | 0.456762i | ||||
\(944\) | 5.46053 | − | 5.32842i | 0.177725 | − | 0.173425i | ||||
\(945\) | −2.95616 | − | 4.23329i | −0.0961638 | − | 0.137709i | ||||
\(946\) | 1.01182 | − | 5.00664i | 0.0328973 | − | 0.162780i | ||||
\(947\) | −30.9054 | + | 17.8432i | −1.00429 | + | 0.579827i | −0.909515 | − | 0.415672i | \(-0.863546\pi\) |
−0.0947747 | + | 0.995499i | \(0.530213\pi\) | |||||||
\(948\) | −8.04465 | − | 44.5928i | −0.261278 | − | 1.44831i | ||||
\(949\) | −3.40238 | − | 1.96437i | −0.110446 | − | 0.0637660i | ||||
\(950\) | 8.03619 | + | 23.9141i | 0.260728 | + | 0.775876i | ||||
\(951\) | 42.8927 | + | 21.7823i | 1.39089 | + | 0.706340i | ||||
\(952\) | 19.2585 | − | 7.55497i | 0.624171 | − | 0.244858i | ||||
\(953\) | 55.8297i | 1.80850i | 0.427002 | + | 0.904251i | \(0.359570\pi\) | ||||
−0.427002 | + | 0.904251i | \(0.640430\pi\) | |||||||
\(954\) | −6.88913 | + | 9.74022i | −0.223044 | + | 0.315351i | ||||
\(955\) | −2.52972 | + | 4.38161i | −0.0818598 | + | 0.141785i | ||||
\(956\) | 30.2181 | − | 22.8946i | 0.977323 | − | 0.740465i | ||||
\(957\) | 8.09679 | − | 0.435255i | 0.261732 | − | 0.0140698i | ||||
\(958\) | 13.3257 | + | 2.69308i | 0.430534 | + | 0.0870093i | ||||
\(959\) | 0.549559 | − | 0.805498i | 0.0177462 | − | 0.0260109i | ||||
\(960\) | 0.496553 | − | 5.18037i | 0.0160262 | − | 0.167196i | ||||
\(961\) | −10.3259 | − | 17.8850i | −0.333094 | − | 0.576935i | ||||
\(962\) | 2.18804 | − | 2.47963i | 0.0705454 | − | 0.0799466i | ||||
\(963\) | −5.74629 | − | 53.2930i | −0.185172 | − | 1.71734i | ||||
\(964\) | −4.84931 | − | 38.6617i | −0.156186 | − | 1.24521i | ||||
\(965\) | 3.01935 | 0.0971962 | ||||||||
\(966\) | 45.6475 | + | 10.2473i | 1.46868 | + | 0.329702i | ||||
\(967\) | − | 20.3433i | − | 0.654196i | −0.944990 | − | 0.327098i | \(-0.893929\pi\) | ||
0.944990 | − | 0.327098i | \(-0.106071\pi\) | |||||||
\(968\) | 2.60799 | − | 34.8794i | 0.0838241 | − | 1.12107i | ||||
\(969\) | −9.59419 | − | 14.7303i | −0.308210 | − | 0.473207i | ||||
\(970\) | −1.86827 | + | 2.11724i | −0.0599865 | + | 0.0679806i | ||||
\(971\) | 16.6834 | − | 9.63219i | 0.535397 | − | 0.309112i | −0.207814 | − | 0.978168i | \(-0.566635\pi\) |
0.743211 | + | 0.669057i | \(0.233302\pi\) | |||||||
\(972\) | −28.7965 | + | 11.9482i | −0.923649 | + | 0.383240i | ||||
\(973\) | −1.72899 | + | 22.9727i | −0.0554289 | + | 0.736472i | ||||
\(974\) | −6.80051 | + | 33.6498i | −0.217902 | + | 1.07821i | ||||
\(975\) | −37.0356 | + | 1.99091i | −1.18609 | + | 0.0637600i | ||||
\(976\) | −9.61744 | − | 37.7349i | −0.307847 | − | 1.20786i | ||||
\(977\) | 34.7039 | + | 20.0363i | 1.11028 | + | 0.641019i | 0.938901 | − | 0.344187i | \(-0.111845\pi\) |
0.171376 | + | 0.985206i | \(0.445179\pi\) | |||||||
\(978\) | 2.35461 | − | 16.0455i | 0.0752920 | − | 0.513078i | ||||
\(979\) | 26.2701 | 0.839595 | ||||||||
\(980\) | 4.48518 | + | 2.74411i | 0.143274 | + | 0.0876574i | ||||
\(981\) | −10.3361 | + | 7.55221i | −0.330008 | + | 0.241124i | ||||
\(982\) | 15.3691 | − | 5.16469i | 0.490447 | − | 0.164812i | ||||
\(983\) | 1.39908 | − | 2.42328i | 0.0446238 | − | 0.0772907i | −0.842851 | − | 0.538147i | \(-0.819124\pi\) |
0.887475 | + | 0.460857i | \(0.152458\pi\) | |||||||
\(984\) | −0.398390 | + | 19.0335i | −0.0127002 | + | 0.606764i | ||||
\(985\) | 3.31255 | + | 5.73750i | 0.105547 | + | 0.182812i | ||||
\(986\) | −0.750027 | + | 3.71123i | −0.0238857 | + | 0.118190i | ||||
\(987\) | −24.7231 | + | 40.7792i | −0.786944 | + | 1.29801i | ||||
\(988\) | 12.5663 | − | 29.8201i | 0.399787 | − | 0.948703i | ||||
\(989\) | 2.69693 | + | 4.67122i | 0.0857573 | + | 0.148536i | ||||
\(990\) | 0.707629 | − | 7.66983i | 0.0224899 | − | 0.243763i | ||||
\(991\) | −26.8323 | − | 15.4916i | −0.852356 | − | 0.492108i | 0.00908886 | − | 0.999959i | \(-0.497107\pi\) |
−0.861445 | + | 0.507851i | \(0.830440\pi\) | |||||||
\(992\) | 16.1956 | + | 8.29730i | 0.514210 | + | 0.263440i | ||||
\(993\) | 1.16802 | + | 0.593157i | 0.0370659 | + | 0.0188233i | ||||
\(994\) | 20.1593 | − | 5.12750i | 0.639415 | − | 0.162634i | ||||
\(995\) | − | 7.60502i | − | 0.241095i | ||||||
\(996\) | −33.1578 | − | 11.9204i | −1.05065 | − | 0.377711i | ||||
\(997\) | −20.5175 | − | 11.8458i | −0.649797 | − | 0.375160i | 0.138581 | − | 0.990351i | \(-0.455746\pi\) |
−0.788378 | + | 0.615191i | \(0.789079\pi\) | |||||||
\(998\) | 9.39906 | − | 10.6516i | 0.297522 | − | 0.337171i | ||||
\(999\) | −1.74374 | − | 2.13566i | −0.0551695 | − | 0.0675694i |
(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 | 168.2.v.a.11.18 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.11.11 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.431.24 | 56 | |||
7.2 | even | 3 | inner | 168.2.v.a.107.21 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.11.8 | ✓ | 56 | |
8.5 | even | 2 | 672.2.bd.a.431.23 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.431.13 | 56 | |||
21.2 | odd | 6 | inner | 168.2.v.a.107.8 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.431.14 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.11.21 | yes | 56 | |
28.23 | odd | 6 | 672.2.bd.a.527.14 | 56 | |||
56.37 | even | 6 | 672.2.bd.a.527.13 | 56 | |||
56.51 | odd | 6 | inner | 168.2.v.a.107.11 | yes | 56 | |
84.23 | even | 6 | 672.2.bd.a.527.23 | 56 | |||
168.107 | even | 6 | inner | 168.2.v.a.107.18 | yes | 56 | |
168.149 | odd | 6 | 672.2.bd.a.527.24 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.8 | ✓ | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.11.11 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.11.18 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.11.21 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.107.8 | yes | 56 | 21.2 | odd | 6 | inner | |
168.2.v.a.107.11 | yes | 56 | 56.51 | odd | 6 | inner | |
168.2.v.a.107.18 | yes | 56 | 168.107 | even | 6 | inner | |
168.2.v.a.107.21 | yes | 56 | 7.2 | even | 3 | inner | |
672.2.bd.a.431.13 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.431.14 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.431.23 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.431.24 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.527.13 | 56 | 56.37 | even | 6 | |||
672.2.bd.a.527.14 | 56 | 28.23 | odd | 6 | |||
672.2.bd.a.527.23 | 56 | 84.23 | even | 6 | |||
672.2.bd.a.527.24 | 56 | 168.149 | odd | 6 |