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 | 107.11 | ||
Character | \(\chi\) | \(=\) | 168.107 |
Dual form | 168.2.v.a.11.11 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 | ||||
\(3\) | −0.0929747 | − | 1.72955i | −0.0536790 | − | 0.998558i | ||||
\(4\) | −1.59413 | − | 1.20779i | −0.797065 | − | 0.603893i | ||||
\(5\) | −0.187787 | + | 0.325257i | −0.0839810 | + | 0.145459i | −0.904957 | − | 0.425504i | \(-0.860097\pi\) |
0.820976 | + | 0.570963i | \(0.193430\pi\) | |||||||
\(6\) | 2.36043 | + | 0.654497i | 0.963642 | + | 0.267197i | ||||
\(7\) | −0.198565 | − | 2.63829i | −0.0750504 | − | 0.997180i | ||||
\(8\) | 2.33722 | − | 1.59292i | 0.826333 | − | 0.563182i | ||||
\(9\) | −2.98271 | + | 0.321609i | −0.994237 | + | 0.107203i | ||||
\(10\) | −0.351427 | − | 0.398260i | −0.111131 | − | 0.125941i | ||||
\(11\) | 4.18624 | − | 2.41693i | 1.26220 | − | 0.728731i | 0.288700 | − | 0.957420i | \(-0.406777\pi\) |
0.973500 | + | 0.228688i | \(0.0734437\pi\) | |||||||
\(12\) | −1.94072 | + | 2.86943i | −0.560237 | + | 0.828332i | ||||
\(13\) | − | 4.40701i | − | 1.22228i | −0.791521 | − | 0.611142i | \(-0.790710\pi\) | ||
0.791521 | − | 0.611142i | \(-0.209290\pi\) | |||||||
\(14\) | 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 | \(-0.775484\pi\) |
0.180740 | + | 0.983531i | \(0.442151\pi\) | |||||||
\(18\) | 0.912528 | − | 4.14334i | 0.215085 | − | 0.976595i | ||||
\(19\) | 1.83569 | − | 3.17951i | 0.421137 | − | 0.729431i | −0.574914 | − | 0.818214i | \(-0.694965\pi\) |
0.996051 | + | 0.0887833i | \(0.0282979\pi\) | |||||||
\(20\) | 0.692199 | − | 0.291695i | 0.154780 | − | 0.0652251i | ||||
\(21\) | −4.54460 | + | 0.588723i | −0.991713 | + | 0.128470i | ||||
\(22\) | 1.35417 | + | 6.70064i | 0.288711 | + | 1.42858i | ||||
\(23\) | −3.60943 | + | 6.25172i | −0.752618 | + | 1.30357i | 0.193932 | + | 0.981015i | \(0.437876\pi\) |
−0.946550 | + | 0.322558i | \(0.895457\pi\) | |||||||
\(24\) | −2.97234 | − | 3.89425i | −0.606727 | − | 0.794910i | ||||
\(25\) | 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 | \(-0.528661\pi\) | ||||
−0.0899200 | + | 0.995949i | \(0.528661\pi\) | |||||||
\(30\) | −0.656139 | + | 0.644841i | −0.119794 | + | 0.117731i | ||||
\(31\) | 2.78588 | − | 1.60843i | 0.500359 | − | 0.288883i | −0.228503 | − | 0.973543i | \(-0.573383\pi\) |
0.728862 | + | 0.684661i | \(0.240050\pi\) | |||||||
\(32\) | −5.64974 | − | 0.283544i | −0.998743 | − | 0.0501240i | ||||
\(33\) | −4.56942 | − | 7.01562i | −0.795434 | − | 1.22126i | ||||
\(34\) | −0.774447 | − | 3.83207i | −0.132817 | − | 0.657194i | ||||
\(35\) | 0.895411 | + | 0.430853i | 0.151352 | + | 0.0728274i | ||||
\(36\) | 5.14327 | + | 3.08979i | 0.857211 | + | 0.514965i | ||||
\(37\) | −0.459519 | − | 0.265303i | −0.0755445 | − | 0.0436156i | 0.461752 | − | 0.887009i | \(-0.347221\pi\) |
−0.537296 | + | 0.843393i | \(0.680554\pi\) | |||||||
\(38\) | 3.43534 | + | 3.89315i | 0.557285 | + | 0.631552i | ||||
\(39\) | −7.62216 | + | 0.409740i | −1.22052 | + | 0.0656110i | ||||
\(40\) | 0.0792077 | + | 1.05933i | 0.0125238 | + | 0.167495i | ||||
\(41\) | 3.88604i | 0.606897i | 0.952848 | + | 0.303449i | \(0.0981381\pi\) | ||||
−0.952848 | + | 0.303449i | \(0.901862\pi\) | |||||||
\(42\) | 1.25805 | − | 6.35746i | 0.194122 | − | 0.980977i | ||||
\(43\) | 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 | ||||
\(45\) | 0.455510 | − | 1.03054i | 0.0679034 | − | 0.153624i | ||||
\(46\) | −6.75473 | − | 7.65490i | −0.995931 | − | 1.12865i | ||||
\(47\) | 5.20322 | − | 9.01223i | 0.758967 | − | 1.31457i | −0.184411 | − | 0.982849i | \(-0.559038\pi\) |
0.943378 | − | 0.331720i | \(-0.107629\pi\) | |||||||
\(48\) | 6.55941 | − | 2.23027i | 0.946770 | − | 0.321912i | ||||
\(49\) | −6.92114 | + | 1.04774i | −0.988735 | + | 0.149678i | ||||
\(50\) | −6.73541 | + | 1.36120i | −0.952531 | + | 0.192503i | ||||
\(51\) | 2.61323 | + | 4.01220i | 0.365926 | + | 0.561821i | ||||
\(52\) | −5.32273 | + | 7.02535i | −0.738129 | + | 0.974240i | ||||
\(53\) | 1.40600 | + | 2.43526i | 0.193129 | + | 0.334509i | 0.946285 | − | 0.323332i | \(-0.104803\pi\) |
−0.753157 | + | 0.657841i | \(0.771470\pi\) | |||||||
\(54\) | −7.25098 | − | 1.19304i | −0.986733 | − | 0.162352i | ||||
\(55\) | 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 | \(-0.706290\pi\) |
0.388606 | + | 0.921404i | \(0.372957\pi\) | |||||||
\(60\) | −0.568860 | − | 1.17007i | −0.0734395 | − | 0.151056i | ||||
\(61\) | 8.43102 | + | 4.86765i | 1.07948 | + | 0.623239i | 0.930756 | − | 0.365640i | \(-0.119150\pi\) |
0.148725 | + | 0.988879i | \(0.452483\pi\) | |||||||
\(62\) | 0.901184 | + | 4.45918i | 0.114450 | + | 0.566316i | ||||
\(63\) | 1.44076 | + | 7.80540i | 0.181519 | + | 0.983387i | ||||
\(64\) | 2.92522 | − | 7.44601i | 0.365652 | − | 0.930752i | ||||
\(65\) | 1.43341 | + | 0.827580i | 0.177793 | + | 0.102649i | ||||
\(66\) | 11.4632 | − | 2.96511i | 1.41102 | − | 0.364980i | ||||
\(67\) | 3.85681 | + | 6.68019i | 0.471184 | + | 0.816115i | 0.999457 | − | 0.0329601i | \(-0.0104934\pi\) |
−0.528273 | + | 0.849075i | \(0.677160\pi\) | |||||||
\(68\) | 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 | \(-0.392989\pi\) | ||||
0.329887 | + | 0.944020i | \(0.392989\pi\) | |||||||
\(72\) | −6.45896 | + | 5.50289i | −0.761196 | + | 0.648522i | ||||
\(73\) | −0.445737 | − | 0.772039i | −0.0521696 | − | 0.0903603i | 0.838761 | − | 0.544499i | \(-0.183280\pi\) |
−0.890931 | + | 0.454139i | \(0.849947\pi\) | |||||||
\(74\) | 0.562657 | − | 0.496492i | 0.0654076 | − | 0.0577160i | ||||
\(75\) | 7.05203 | − | 4.59314i | 0.814298 | − | 0.530370i | ||||
\(76\) | −6.76651 | + | 2.85143i | −0.776172 | + | 0.327082i | ||||
\(77\) | −7.20780 | − | 10.5646i | −0.821405 | − | 1.20395i | ||||
\(78\) | 2.88438 | − | 10.4024i | 0.326591 | − | 1.17784i | ||||
\(79\) | 11.3282 | + | 6.54032i | 1.27452 | + | 0.735844i | 0.975835 | − | 0.218509i | \(-0.0701192\pi\) |
0.298684 | + | 0.954352i | \(0.403453\pi\) | |||||||
\(80\) | −1.45576 | − | 0.371028i | −0.162759 | − | 0.0414821i | ||||
\(81\) | 8.79313 | − | 1.91854i | 0.977015 | − | 0.213171i | ||||
\(82\) | −5.20942 | − | 1.75059i | −0.575284 | − | 0.193321i | ||||
\(83\) | − | 10.1716i | − | 1.11648i | −0.829680 | − | 0.558239i | \(-0.811477\pi\) | ||
0.829680 | − | 0.558239i | \(-0.188523\pi\) | |||||||
\(84\) | 7.95574 | + | 4.55041i | 0.868042 | + | 0.496490i | ||||
\(85\) | − | 1.03826i | − | 0.112615i | ||||||
\(86\) | −0.336596 | + | 1.00164i | −0.0362961 | + | 0.108010i | ||||
\(87\) | 0.0900430 | + | 1.67502i | 0.00965362 | + | 0.179581i | ||||
\(88\) | 5.93421 | − | 12.3172i | 0.632589 | − | 1.31302i | ||||
\(89\) | 4.70650 | + | 2.71730i | 0.498888 | + | 0.288033i | 0.728254 | − | 0.685307i | \(-0.240332\pi\) |
−0.229366 | + | 0.973340i | \(0.573665\pi\) | |||||||
\(90\) | 1.17629 | + | 1.07487i | 0.123992 | + | 0.113302i | ||||
\(91\) | −11.6270 | + | 0.875077i | −1.21884 | + | 0.0917330i | ||||
\(92\) | 13.3046 | − | 5.60663i | 1.38710 | − | 0.584532i | ||||
\(93\) | −3.04088 | − | 4.66879i | −0.315325 | − | 0.484131i | ||||
\(94\) | 9.73736 | + | 11.0350i | 1.00433 | + | 1.13817i | ||||
\(95\) | 0.689440 | + | 1.19414i | 0.0707350 | + | 0.122517i | ||||
\(96\) | 0.0348788 | + | 9.79790i | 0.00355980 | + | 0.999994i | ||||
\(97\) | 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 | 0.943057 | + | 0.332631i | \(0.107936\pi\) |
−0.183462 | + | 0.983027i | \(0.558730\pi\) | |||||||
\(102\) | −6.55576 | + | 1.69573i | −0.649117 | + | 0.167903i | ||||
\(103\) | −11.9461 | − | 6.89709i | −1.17709 | − | 0.679591i | −0.221747 | − | 0.975104i | \(-0.571176\pi\) |
−0.955338 | + | 0.295514i | \(0.904509\pi\) | |||||||
\(104\) | −7.02001 | − | 10.3002i | −0.688369 | − | 1.01001i | ||||
\(105\) | 0.661932 | − | 1.58872i | 0.0645980 | − | 0.155043i | ||||
\(106\) | −3.89796 | + | 0.787763i | −0.378603 | + | 0.0765143i | ||||
\(107\) | −15.4735 | − | 8.93365i | −1.49588 | − | 0.863649i | −0.495895 | − | 0.868382i | \(-0.665160\pi\) |
−0.999989 | + | 0.00473355i | \(0.998493\pi\) | |||||||
\(108\) | 4.86577 | − | 9.18283i | 0.468208 | − | 0.883618i | ||||
\(109\) | −3.69540 | + | 2.13354i | −0.353955 | + | 0.204356i | −0.666426 | − | 0.745571i | \(-0.732177\pi\) |
0.312471 | + | 0.949927i | \(0.398843\pi\) | |||||||
\(110\) | −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 | \(0.825211\pi\) | |||||||
\(114\) | 6.41401 | − | 6.30357i | 0.600727 | − | 0.590383i | ||||
\(115\) | −1.35561 | − | 2.34799i | −0.126411 | − | 0.218951i | ||||
\(116\) | 1.54386 | + | 1.16970i | 0.143344 | + | 0.108604i | ||||
\(117\) | 1.41734 | + | 13.1448i | 0.131033 | + | 1.21524i | ||||
\(118\) | −0.534340 | − | 2.64399i | −0.0491900 | − | 0.243399i | ||||
\(119\) | 4.12211 | + | 6.04185i | 0.377873 | + | 0.553856i | ||||
\(120\) | 1.82480 | − | 0.235485i | 0.166581 | − | 0.0214967i | ||||
\(121\) | 6.18308 | − | 10.7094i | 0.562099 | − | 0.973583i | ||||
\(122\) | −10.3233 | + | 9.10938i | −0.934632 | + | 0.824725i | ||||
\(123\) | 6.72111 | − | 0.361303i | 0.606022 | − | 0.0325776i | ||||
\(124\) | −6.38370 | − | 0.800704i | −0.573273 | − | 0.0719053i | ||||
\(125\) | −3.70277 | −0.331186 | ||||||||
\(126\) | −11.1125 | − | 1.58479i | −0.989983 | − | 0.141184i | ||||
\(127\) | − | 5.11149i | − | 0.453572i | −0.973945 | − | 0.226786i | \(-0.927178\pi\) | ||
0.973945 | − | 0.226786i | \(-0.0728217\pi\) | |||||||
\(128\) | 8.66397 | + | 7.27569i | 0.765794 | + | 0.643086i | ||||
\(129\) | −0.0694697 | − | 1.29230i | −0.00611647 | − | 0.113781i | ||||
\(130\) | −1.75514 | + | 1.54874i | −0.153936 | + | 0.135834i | ||||
\(131\) | −9.21193 | − | 5.31851i | −0.804850 | − | 0.464680i | 0.0403145 | − | 0.999187i | \(-0.487164\pi\) |
−0.845164 | + | 0.534507i | \(0.820497\pi\) | |||||||
\(132\) | −1.18911 | + | 16.7027i | −0.103499 | + | 1.45378i | ||||
\(133\) | −8.75298 | − | 4.21175i | −0.758980 | − | 0.365205i | ||||
\(134\) | −10.6925 | + | 2.16092i | −0.923694 | + | 0.186675i | ||||
\(135\) | −1.82473 | − | 0.692014i | −0.157048 | − | 0.0595591i | ||||
\(136\) | −3.39375 | + | 7.04418i | −0.291012 | + | 0.604034i | ||||
\(137\) | 0.319180 | − | 0.184279i | 0.0272694 | − | 0.0157440i | −0.486303 | − | 0.873790i | \(-0.661655\pi\) |
0.513573 | + | 0.858046i | \(0.328322\pi\) | |||||||
\(138\) | −12.6115 | + | 12.3944i | −1.07357 | + | 1.05508i | ||||
\(139\) | 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 | ||||
\(144\) | −4.46723 | − | 11.1375i | −0.372269 | − | 0.928125i | ||||
\(145\) | 0.181866 | − | 0.315001i | 0.0151031 | − | 0.0261594i | ||||
\(146\) | 1.23575 | − | 0.249741i | 0.102271 | − | 0.0206687i | ||||
\(147\) | 2.45562 | + | 11.8731i | 0.202536 | + | 0.979275i | ||||
\(148\) | 0.412103 | + | 0.977929i | 0.0338747 | + | 0.0803853i | ||||
\(149\) | 7.63384 | − | 13.2222i | 0.625388 | − | 1.08320i | −0.363077 | − | 0.931759i | \(-0.618274\pi\) |
0.988466 | − | 0.151445i | \(-0.0483928\pi\) | |||||||
\(150\) | 2.98050 | + | 11.5227i | 0.243357 | + | 0.940825i | ||||
\(151\) | −8.05314 | + | 4.64948i | −0.655355 | + | 0.378369i | −0.790505 | − | 0.612456i | \(-0.790182\pi\) |
0.135150 | + | 0.990825i | \(0.456848\pi\) | |||||||
\(152\) | −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 | ||||||||
\(156\) | 12.6456 | + | 8.55276i | 1.01246 | + | 0.684769i | ||||
\(157\) | 4.93578 | − | 2.84967i | 0.393918 | − | 0.227429i | −0.289938 | − | 0.957045i | \(-0.593635\pi\) |
0.683856 | + | 0.729617i | \(0.260302\pi\) | |||||||
\(158\) | −13.8708 | + | 12.2396i | −1.10350 | + | 0.973733i | ||||
\(159\) | 4.08119 | − | 2.65817i | 0.323660 | − | 0.210806i | ||||
\(160\) | 1.15317 | − | 1.78437i | 0.0911665 | − | 0.141067i | ||||
\(161\) | 17.2105 | + | 8.28135i | 1.35638 | + | 0.652662i | ||||
\(162\) | −1.38927 | + | 12.6519i | −0.109151 | + | 0.994025i | ||||
\(163\) | 3.31035 | − | 5.73369i | 0.259286 | − | 0.449097i | −0.706765 | − | 0.707449i | \(-0.749846\pi\) |
0.966051 | + | 0.258352i | \(0.0831793\pi\) | |||||||
\(164\) | 4.69350 | − | 6.19485i | 0.366501 | − | 0.483737i | ||||
\(165\) | 3.13996 | − | 0.168793i | 0.244446 | − | 0.0131405i | ||||
\(166\) | 13.6355 | + | 4.58213i | 1.05832 | + | 0.355642i | ||||
\(167\) | −7.38941 | −0.571809 | −0.285905 | − | 0.958258i | \(-0.592294\pi\) | ||||
−0.285905 | + | 0.958258i | \(0.592294\pi\) | |||||||
\(168\) | −9.68396 | + | 8.61516i | −0.747134 | + | 0.664674i | ||||
\(169\) | −6.42173 | −0.493979 | ||||||||
\(170\) | 1.39184 | + | 0.467719i | 0.106749 | + | 0.0358724i | ||||
\(171\) | −4.45278 | + | 10.0739i | −0.340513 | + | 0.770374i | ||||
\(172\) | −1.19112 | − | 0.902445i | −0.0908218 | − | 0.0688108i | ||||
\(173\) | −3.21644 | + | 5.57103i | −0.244541 | + | 0.423558i | −0.962003 | − | 0.273041i | \(-0.911971\pi\) |
0.717461 | + | 0.696598i | \(0.245304\pi\) | |||||||
\(174\) | −2.28600 | − | 0.633859i | −0.173301 | − | 0.0480528i | ||||
\(175\) | 10.6194 | − | 7.24520i | 0.802754 | − | 0.547686i | ||||
\(176\) | 13.8386 | + | 13.5038i | 1.04312 | + | 1.01789i | ||||
\(177\) | 1.80304 | + | 2.76827i | 0.135524 | + | 0.208076i | ||||
\(178\) | −5.76287 | + | 5.08519i | −0.431945 | + | 0.381151i | ||||
\(179\) | −13.0137 | + | 7.51347i | −0.972691 | + | 0.561583i | −0.900055 | − | 0.435775i | \(-0.856474\pi\) |
−0.0726352 | + | 0.997359i | \(0.523141\pi\) | |||||||
\(180\) | −1.97082 | + | 1.09266i | −0.146896 | + | 0.0814421i | ||||
\(181\) | 2.93639i | 0.218260i | 0.994027 | + | 0.109130i | \(0.0348065\pi\) | ||||
−0.994027 | + | 0.109130i | \(0.965194\pi\) | |||||||
\(182\) | 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 | ||||
\(186\) | 7.62860 | − | 1.97324i | 0.559356 | − | 0.144685i | ||||
\(187\) | −6.68151 | + | 11.5727i | −0.488600 | + | 0.846281i | ||||
\(188\) | −19.1795 | + | 8.08230i | −1.39881 | + | 0.589463i | ||||
\(189\) | 13.3659 | − | 3.21758i | 0.972226 | − | 0.234044i | ||||
\(190\) | −1.91139 | + | 0.386285i | −0.138667 | + | 0.0280240i | ||||
\(191\) | −6.73560 | + | 11.6664i | −0.487371 | + | 0.844151i | −0.999895 | − | 0.0145218i | \(-0.995377\pi\) |
0.512524 | + | 0.858673i | \(0.328711\pi\) | |||||||
\(192\) | −13.1502 | − | 4.36703i | −0.949038 | − | 0.315163i | ||||
\(193\) | 4.01964 | + | 6.96221i | 0.289340 | + | 0.501151i | 0.973652 | − | 0.228038i | \(-0.0732310\pi\) |
−0.684313 | + | 0.729189i | \(0.739898\pi\) | |||||||
\(194\) | −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 | \(-0.716288\pi\) | ||||
−0.628395 | + | 0.777894i | \(0.716288\pi\) | |||||||
\(198\) | −6.19410 | − | 19.5506i | −0.440196 | − | 1.38940i | ||||
\(199\) | −17.5362 | + | 10.1245i | −1.24311 | + | 0.717708i | −0.969725 | − | 0.244198i | \(-0.921475\pi\) |
−0.273381 | + | 0.961906i | \(0.588142\pi\) | |||||||
\(200\) | 12.3812 | + | 5.96501i | 0.875481 | + | 0.421790i | ||||
\(201\) | 11.1952 | − | 7.29164i | 0.789645 | − | 0.514313i | ||||
\(202\) | −21.1639 | + | 4.27714i | −1.48909 | + | 0.300939i | ||||
\(203\) | 0.192304 | + | 2.55510i | 0.0134971 | + | 0.179333i | ||||
\(204\) | 0.680049 | − | 9.55220i | 0.0476129 | − | 0.668788i | ||||
\(205\) | −1.26396 | − | 0.729749i | −0.0882789 | − | 0.0509679i | ||||
\(206\) | 14.6274 | − | 12.9073i | 1.01914 | − | 0.899294i | ||||
\(207\) | 8.75528 | − | 19.8079i | 0.608534 | − | 1.37674i | ||||
\(208\) | 16.9702 | − | 4.77061i | 1.17667 | − | 0.330782i | ||||
\(209\) | − | 17.7470i | − | 1.22758i | ||||||
\(210\) | 1.83156 | + | 1.60304i | 0.126390 | + | 0.110620i | ||||
\(211\) | 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 | ||||
\(213\) | −0.516879 | − | 9.61520i | −0.0354160 | − | 0.658823i | ||||
\(214\) | 18.9465 | − | 16.7185i | 1.29516 | − | 1.14286i | ||||
\(215\) | −0.140313 | + | 0.243029i | −0.00956924 | + | 0.0165744i | ||||
\(216\) | 10.1181 | + | 10.6595i | 0.688447 | + | 0.725286i | ||||
\(217\) | −4.79668 | − | 7.03059i | −0.325620 | − | 0.477268i | ||||
\(218\) | −1.19540 | − | 5.91498i | −0.0809624 | − | 0.400613i | ||||
\(219\) | −1.29384 | + | 0.842706i | −0.0874296 | + | 0.0569448i | ||||
\(220\) | 2.19270 | − | 2.89410i | 0.147832 | − | 0.195120i | ||||
\(221\) | 6.09151 | + | 10.5508i | 0.409759 | + | 0.709724i | ||||
\(222\) | −0.911023 | − | 0.926984i | −0.0611438 | − | 0.0622151i | ||||
\(223\) | 12.1649i | 0.814623i | 0.913289 | + | 0.407312i | \(0.133534\pi\) | ||||
−0.913289 | + | 0.407312i | \(0.866466\pi\) | |||||||
\(224\) | 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 | \(-0.504497\pi\) |
0.858875 | + | 0.512185i | \(0.171164\pi\) | |||||||
\(228\) | 5.56082 | + | 11.4379i | 0.368275 | + | 0.757495i | ||||
\(229\) | −14.0706 | − | 8.12366i | −0.929811 | − | 0.536826i | −0.0430590 | − | 0.999073i | \(-0.513710\pi\) |
−0.886752 | + | 0.462246i | \(0.847044\pi\) | |||||||
\(230\) | 3.75826 | − | 0.759532i | 0.247813 | − | 0.0500820i | ||||
\(231\) | −17.6019 | + | 13.4485i | −1.15812 | + | 0.884847i | ||||
\(232\) | −2.26352 | + | 1.54269i | −0.148608 | + | 0.101283i | ||||
\(233\) | 8.34905 | + | 4.82033i | 0.546965 | + | 0.315790i | 0.747897 | − | 0.663815i | \(-0.231064\pi\) |
−0.200932 | + | 0.979605i | \(0.564397\pi\) | |||||||
\(234\) | −18.2598 | − | 4.02152i | −1.19368 | − | 0.262895i | ||||
\(235\) | 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 | \(-0.289932\pi\) | ||||
0.613076 | + | 0.790024i | \(0.289932\pi\) | |||||||
\(240\) | −0.506363 | + | 2.55231i | −0.0326856 | + | 0.164751i | ||||
\(241\) | −9.74116 | − | 16.8722i | −0.627483 | − | 1.08683i | −0.988055 | − | 0.154102i | \(-0.950752\pi\) |
0.360572 | − | 0.932732i | \(-0.382582\pi\) | |||||||
\(242\) | 11.5711 | + | 13.1131i | 0.743818 | + | 0.842943i | ||||
\(243\) | −4.13575 | − | 15.0298i | −0.265309 | − | 0.964164i | ||||
\(244\) | −7.56106 | − | 17.9425i | −0.484047 | − | 1.14865i | ||||
\(245\) | 0.958917 | − | 2.44790i | 0.0612630 | − | 0.156391i | ||||
\(246\) | −2.54340 | + | 9.17272i | −0.162161 | + | 0.584832i | ||||
\(247\) | −14.0121 | − | 8.08992i | −0.891572 | − | 0.514749i | ||||
\(248\) | 3.94913 | − | 8.19695i | 0.250770 | − | 0.520507i | ||||
\(249\) | −17.5923 | + | 0.945702i | −1.11487 | + | 0.0599314i | ||||
\(250\) | 1.66803 | − | 4.96373i | 0.105496 | − | 0.313934i | ||||
\(251\) | − | 3.37389i | − | 0.212958i | −0.994315 | − | 0.106479i | \(-0.966042\pi\) | ||
0.994315 | − | 0.106479i | \(-0.0339577\pi\) | |||||||
\(252\) | 7.13049 | − | 14.1830i | 0.449179 | − | 0.893442i | ||||
\(253\) | 34.8949i | 2.19383i | ||||||||
\(254\) | 6.85219 | + | 2.30264i | 0.429945 | + | 0.144480i | ||||
\(255\) | −1.79573 | + | 0.0965321i | −0.112453 | + | 0.00604507i | ||||
\(256\) | −13.6564 | + | 8.33688i | −0.853523 | + | 0.521055i | ||||
\(257\) | −8.98721 | − | 5.18877i | −0.560607 | − | 0.323666i | 0.192782 | − | 0.981242i | \(-0.438249\pi\) |
−0.753389 | + | 0.657575i | \(0.771582\pi\) | |||||||
\(258\) | 1.76369 | + | 0.489033i | 0.109802 | + | 0.0304459i | ||||
\(259\) | −0.608703 | + | 1.26502i | −0.0378230 | + | 0.0786048i | ||||
\(260\) | −1.28550 | − | 3.05053i | −0.0797236 | − | 0.189186i | ||||
\(261\) | 2.88866 | − | 0.311468i | 0.178804 | − | 0.0192794i | ||||
\(262\) | 11.2795 | − | 9.95312i | 0.696851 | − | 0.614906i | ||||
\(263\) | 9.47852 | + | 16.4173i | 0.584471 | + | 1.01233i | 0.994941 | + | 0.100459i | \(0.0320312\pi\) |
−0.410470 | + | 0.911874i | \(0.634636\pi\) | |||||||
\(264\) | −21.8551 | − | 9.11834i | −1.34509 | − | 0.561195i | ||||
\(265\) | −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 | 0.963159 | + | 0.268932i | \(0.0866706\pi\) |
−0.248678 | + | 0.968586i | \(0.579996\pi\) | |||||||
\(270\) | 1.74969 | − | 2.13439i | 0.106483 | − | 0.129895i | ||||
\(271\) | 22.6598 | + | 13.0826i | 1.37648 | + | 0.794713i | 0.991734 | − | 0.128308i | \(-0.0409545\pi\) |
0.384750 | + | 0.923021i | \(0.374288\pi\) | |||||||
\(272\) | −7.91423 | − | 7.72276i | −0.479871 | − | 0.468261i | ||||
\(273\) | 2.59451 | + | 20.0281i | 0.157027 | + | 1.21216i | ||||
\(274\) | 0.103249 | + | 0.510890i | 0.00623751 | + | 0.0308640i | ||||
\(275\) | 20.3407 | + | 11.7437i | 1.22659 | + | 0.708173i | ||||
\(276\) | −10.9340 | − | 22.4898i | −0.658147 | − | 1.35373i | ||||
\(277\) | 5.57328 | − | 3.21774i | 0.334866 | − | 0.193335i | −0.323133 | − | 0.946353i | \(-0.604736\pi\) |
0.657999 | + | 0.753018i | \(0.271403\pi\) | |||||||
\(278\) | −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 | \(-0.0914828\pi\) | |||||||
\(282\) | 18.1803 | − | 17.8673i | 1.08262 | − | 1.06398i | ||||
\(283\) | −12.9403 | − | 22.4133i | −0.769224 | − | 1.33233i | −0.937984 | − | 0.346678i | \(-0.887310\pi\) |
0.168761 | − | 0.985657i | \(-0.446024\pi\) | |||||||
\(284\) | −8.86234 | − | 6.71451i | −0.525883 | − | 0.398433i | ||||
\(285\) | 2.00124 | − | 1.30345i | 0.118543 | − | 0.0772096i | ||||
\(286\) | 29.5298 | − | 5.96786i | 1.74613 | − | 0.352887i | ||||
\(287\) | 10.2525 | − | 0.771630i | 0.605186 | − | 0.0455479i | ||||
\(288\) | 16.9427 | − | 0.971281i | 0.998361 | − | 0.0572333i | ||||
\(289\) | −4.67887 | + | 8.10404i | −0.275228 | + | 0.476709i | ||||
\(290\) | 0.340346 | + | 0.385702i | 0.0199858 | + | 0.0226492i | ||||
\(291\) | −0.494275 | − | 9.19470i | −0.0289749 | − | 0.539003i | ||||
\(292\) | −0.221895 | + | 1.76909i | −0.0129854 | + | 0.103528i | ||||
\(293\) | −14.8775 | −0.869153 | −0.434576 | − | 0.900635i | \(-0.643102\pi\) | ||||
−0.434576 | + | 0.900635i | \(0.643102\pi\) | |||||||
\(294\) | −17.0226 | − | 2.05675i | −0.992780 | − | 0.119952i | ||||
\(295\) | − | 0.716363i | − | 0.0417083i | ||||||
\(296\) | −1.49661 | + | 0.111904i | −0.0869884 | + | 0.00650427i | ||||
\(297\) | 15.8856 | + | 19.4560i | 0.921773 | + | 1.12895i | ||||
\(298\) | 14.2861 | + | 16.1899i | 0.827569 | + | 0.937855i | ||||
\(299\) | 27.5514 | + | 15.9068i | 1.59334 | + | 0.919913i | ||||
\(300\) | −16.7894 | − | 1.19528i | −0.969335 | − | 0.0690098i | ||||
\(301\) | −0.148365 | − | 1.97130i | −0.00855164 | − | 0.113624i | ||||
\(302\) | −2.60505 | − | 12.8901i | −0.149904 | − | 0.741743i | ||||
\(303\) | 22.1587 | − | 14.4325i | 1.27299 | − | 0.829123i | ||||
\(304\) | 14.2306 | + | 3.62694i | 0.816182 | + | 0.208019i | ||||
\(305\) | −3.16648 | + | 1.82817i | −0.181312 | + | 0.104681i | ||||
\(306\) | 3.54238 | + | 11.1809i | 0.202504 | + | 0.639168i | ||||
\(307\) | −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 | −0.898314 | − | 0.439354i | \(-0.855207\pi\) |
0.0686650 | − | 0.997640i | \(-0.478126\pi\) | |||||||
\(312\) | −17.1620 | + | 13.0991i | −0.971607 | + | 0.741593i | ||||
\(313\) | −14.5480 | + | 25.1978i | −0.822300 | + | 1.42427i | 0.0816651 | + | 0.996660i | \(0.473976\pi\) |
−0.903965 | + | 0.427606i | \(0.859357\pi\) | |||||||
\(314\) | 1.59664 | + | 7.90037i | 0.0901034 | + | 0.445843i | ||||
\(315\) | −2.80932 | − | 0.997137i | −0.158287 | − | 0.0561823i | ||||
\(316\) | −10.1593 | − | 24.1081i | −0.571504 | − | 1.35619i | ||||
\(317\) | 13.8872 | − | 24.0533i | 0.779983 | − | 1.35097i | −0.151967 | − | 0.988385i | \(-0.548561\pi\) |
0.931951 | − | 0.362585i | \(-0.118106\pi\) | |||||||
\(318\) | 1.72489 | + | 6.66849i | 0.0967271 | + | 0.373950i | ||||
\(319\) | −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 | ||||||||
\(324\) | −16.3346 | − | 7.56183i | −0.907477 | − | 0.420102i | ||||
\(325\) | 18.5446 | − | 10.7067i | 1.02867 | − | 0.593901i | ||||
\(326\) | 6.19502 | + | 7.02060i | 0.343111 | + | 0.388835i | ||||
\(327\) | 4.03365 | + | 6.19303i | 0.223061 | + | 0.342475i | ||||
\(328\) | 6.19015 | + | 9.08254i | 0.341794 | + | 0.501499i | ||||
\(329\) | −24.8101 | − | 11.9381i | −1.36782 | − | 0.658168i | ||||
\(330\) | −1.18822 | + | 4.28530i | −0.0654095 | + | 0.235898i | ||||
\(331\) | −0.378164 | + | 0.654999i | −0.0207858 | + | 0.0360020i | −0.876231 | − | 0.481891i | \(-0.839950\pi\) |
0.855445 | + | 0.517893i | \(0.173283\pi\) | |||||||
\(332\) | −12.2851 | + | 16.2149i | −0.674234 | + | 0.889906i | ||||
\(333\) | 1.45594 | + | 0.643538i | 0.0797848 | + | 0.0352657i | ||||
\(334\) | 3.32880 | − | 9.90584i | 0.182144 | − | 0.542024i | ||||
\(335\) | −2.89704 | −0.158282 | ||||||||
\(336\) | −7.18657 | − | 16.8628i | −0.392059 | − | 0.919940i | ||||
\(337\) | 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 | ||||
\(339\) | 19.1919 | − | 1.03169i | 1.04236 | − | 0.0560337i | ||||
\(340\) | −1.25400 | + | 1.65513i | −0.0680076 | + | 0.0897618i | ||||
\(341\) | 7.77492 | − | 13.4666i | 0.421036 | − | 0.729255i | ||||
\(342\) | −11.4987 | − | 10.5073i | −0.621778 | − | 0.568170i | ||||
\(343\) | 4.13854 | + | 18.0519i | 0.223460 | + | 0.974713i | ||||
\(344\) | 1.74635 | − | 1.19021i | 0.0941567 | − | 0.0641719i | ||||
\(345\) | −3.93493 | + | 2.56290i | −0.211850 | + | 0.137982i | ||||
\(346\) | −6.01928 | − | 6.82144i | −0.323598 | − | 0.366723i | ||||
\(347\) | 5.20535 | − | 3.00531i | 0.279438 | − | 0.161334i | −0.353731 | − | 0.935347i | \(-0.615087\pi\) |
0.633169 | + | 0.774014i | \(0.281754\pi\) | |||||||
\(348\) | 1.87952 | − | 2.77895i | 0.100753 | − | 0.148967i | ||||
\(349\) | 28.4268i | 1.52165i | 0.648956 | + | 0.760826i | \(0.275206\pi\) | ||||
−0.648956 | + | 0.760826i | \(0.724794\pi\) | |||||||
\(350\) | 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 | \(-0.899508\pi\) |
−0.206400 | + | 0.978468i | \(0.566175\pi\) | |||||||
\(354\) | −4.52324 | + | 1.16999i | −0.240407 | + | 0.0621845i | ||||
\(355\) | −1.04398 | + | 1.80822i | −0.0554085 | + | 0.0959704i | ||||
\(356\) | −4.22086 | − | 10.0162i | −0.223705 | − | 0.530857i | ||||
\(357\) | 10.0665 | − | 7.69115i | 0.532773 | − | 0.407059i | ||||
\(358\) | −4.20970 | − | 20.8302i | −0.222490 | − | 1.10091i | ||||
\(359\) | −10.7300 | + | 18.5850i | −0.566309 | + | 0.980876i | 0.430617 | + | 0.902535i | \(0.358296\pi\) |
−0.996927 | + | 0.0783417i | \(0.975037\pi\) | |||||||
\(360\) | −0.576944 | − | 3.13420i | −0.0304076 | − | 0.165187i | ||||
\(361\) | 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 | ||||||||
\(366\) | 16.7150 | + | 17.0078i | 0.873706 | + | 0.889014i | ||||
\(367\) | 13.0996 | − | 7.56304i | 0.683792 | − | 0.394788i | −0.117490 | − | 0.993074i | \(-0.537485\pi\) |
0.801282 | + | 0.598286i | \(0.204152\pi\) | |||||||
\(368\) | −27.9809 | − | 7.13146i | −1.45861 | − | 0.371753i | ||||
\(369\) | −1.24979 | − | 11.5909i | −0.0650613 | − | 0.603400i | ||||
\(370\) | 0.0558277 | + | 0.276243i | 0.00290235 | + | 0.0143612i | ||||
\(371\) | 6.14574 | − | 4.19299i | 0.319071 | − | 0.217689i | ||||
\(372\) | −0.791337 | + | 11.1154i | −0.0410289 | + | 0.576307i | ||||
\(373\) | −15.7355 | − | 9.08488i | −0.814752 | − | 0.470397i | 0.0338512 | − | 0.999427i | \(-0.489223\pi\) |
−0.848603 | + | 0.529029i | \(0.822556\pi\) | |||||||
\(374\) | −12.5039 | − | 14.1702i | −0.646559 | − | 0.732723i | ||||
\(375\) | 0.344264 | + | 6.40414i | 0.0177777 | + | 0.330708i | ||||
\(376\) | −2.19469 | − | 29.3519i | −0.113182 | − | 1.51371i | ||||
\(377\) | 4.26805i | 0.219816i | ||||||||
\(378\) | −1.70780 | + | 19.3671i | −0.0878395 | + | 0.996135i | ||||
\(379\) | 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 | ||||
\(381\) | −8.84060 | + | 0.475239i | −0.452918 | + | 0.0243473i | ||||
\(382\) | −12.6051 | − | 14.2849i | −0.644932 | − | 0.730879i | ||||
\(383\) | −6.66796 | + | 11.5492i | −0.340717 | + | 0.590139i | −0.984566 | − | 0.175013i | \(-0.944003\pi\) |
0.643849 | + | 0.765153i | \(0.277336\pi\) | |||||||
\(384\) | 11.7782 | − | 15.6613i | 0.601052 | − | 0.799210i | ||||
\(385\) | 4.78975 | − | 0.360489i | 0.244108 | − | 0.0183722i | ||||
\(386\) | −11.1439 | + | 2.25215i | −0.567212 | + | 0.114631i | ||||
\(387\) | −2.22865 | + | 0.240303i | −0.113289 | + | 0.0122153i | ||||
\(388\) | −8.47476 | − | 6.42087i | −0.430241 | − | 0.325970i | ||||
\(389\) | −10.4385 | − | 18.0801i | −0.529255 | − | 0.916696i | −0.999418 | − | 0.0341165i | \(-0.989138\pi\) |
0.470163 | − | 0.882580i | \(-0.344195\pi\) | |||||||
\(390\) | 2.84182 | + | 2.89161i | 0.143901 | + | 0.146422i | ||||
\(391\) | − | 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 | ||||
\(396\) | 28.9988 | + | 0.503707i | 1.45724 | + | 0.0253122i | ||||
\(397\) | −12.4606 | − | 7.19413i | −0.625379 | − | 0.361063i | 0.153581 | − | 0.988136i | \(-0.450919\pi\) |
−0.778960 | + | 0.627073i | \(0.784253\pi\) | |||||||
\(398\) | −5.67264 | − | 28.0690i | −0.284344 | − | 1.40697i | ||||
\(399\) | −6.47064 | + | 15.5303i | −0.323937 | + | 0.777489i | ||||
\(400\) | −13.5739 | + | 13.9104i | −0.678694 | + | 0.695520i | ||||
\(401\) | −10.7223 | − | 6.19052i | −0.535446 | − | 0.309140i | 0.207785 | − | 0.978174i | \(-0.433374\pi\) |
−0.743231 | + | 0.669035i | \(0.766708\pi\) | |||||||
\(402\) | 4.73156 | + | 18.2924i | 0.235989 | + | 0.912341i | ||||
\(403\) | −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 | ||||||||
\(408\) | 12.4988 | + | 5.21474i | 0.618784 | + | 0.258168i | ||||
\(409\) | 6.18520 | + | 10.7131i | 0.305839 | + | 0.529728i | 0.977448 | − | 0.211178i | \(-0.0677299\pi\) |
−0.671609 | + | 0.740906i | \(0.734397\pi\) | |||||||
\(410\) | 1.54766 | − | 1.36566i | 0.0764332 | − | 0.0674452i | ||||
\(411\) | −0.348396 | − | 0.534906i | −0.0171851 | − | 0.0263850i | ||||
\(412\) | 10.7134 | + | 25.4232i | 0.527814 | + | 1.25251i | ||||
\(413\) | 2.84411 | + | 4.16866i | 0.139949 | + | 0.205126i | ||||
\(414\) | 22.6093 | + | 20.6600i | 1.11119 | + | 1.01538i | ||||
\(415\) | 3.30839 | + | 1.91010i | 0.162402 | + | 0.0937630i | ||||
\(416\) | −1.24958 | + | 24.8985i | −0.0612657 | + | 1.22075i | ||||
\(417\) | −0.809571 | − | 15.0600i | −0.0396449 | − | 0.737490i | ||||
\(418\) | 23.7906 | + | 7.99470i | 1.16364 | + | 0.391033i | ||||
\(419\) | 34.6654i | 1.69352i | 0.531977 | + | 0.846759i | \(0.321449\pi\) | ||||
−0.531977 | + | 0.846759i | \(0.678551\pi\) | |||||||
\(420\) | −2.97404 | + | 1.73315i | −0.145118 | + | 0.0845692i | ||||
\(421\) | − | 14.1870i | − | 0.691432i | −0.938339 | − | 0.345716i | \(-0.887636\pi\) | ||
0.938339 | − | 0.345716i | \(-0.112364\pi\) | |||||||
\(422\) | −1.82458 | + | 5.42960i | −0.0888194 | + | 0.264309i | ||||
\(423\) | −12.6213 | + | 28.5543i | −0.613667 | + | 1.38836i | ||||
\(424\) | 7.16530 | + | 3.45210i | 0.347978 | + | 0.167649i | ||||
\(425\) | −11.6328 | − | 6.71618i | −0.564272 | − | 0.325783i | ||||
\(426\) | 13.1225 | + | 3.63858i | 0.635786 | + | 0.176290i | ||||
\(427\) | 11.1682 | − | 23.2100i | 0.540466 | − | 1.12321i | ||||
\(428\) | 13.8769 | + | 32.9301i | 0.670765 | + | 1.59174i | ||||
\(429\) | −30.9179 | + | 20.1375i | −1.49273 | + | 0.972247i | ||||
\(430\) | −0.262583 | − | 0.297576i | −0.0126629 | − | 0.0143504i | ||||
\(431\) | −5.38724 | − | 9.33097i | −0.259494 | − | 0.449457i | 0.706612 | − | 0.707601i | \(-0.250223\pi\) |
−0.966107 | + | 0.258144i | \(0.916889\pi\) | |||||||
\(432\) | −18.8476 | + | 8.76182i | −0.906804 | + | 0.421553i | ||||
\(433\) | −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 | ||||
\(438\) | −0.546834 | − | 2.11408i | −0.0261287 | − | 0.101015i | ||||
\(439\) | −24.6844 | − | 14.2516i | −1.17812 | − | 0.680190i | −0.222544 | − | 0.974923i | \(-0.571436\pi\) |
−0.955580 | + | 0.294732i | \(0.904770\pi\) | |||||||
\(440\) | 2.89190 | + | 4.24317i | 0.137866 | + | 0.202285i | ||||
\(441\) | 20.3068 | − | 5.35102i | 0.966991 | − | 0.254810i | ||||
\(442\) | −16.8880 | + | 3.41300i | −0.803278 | + | 0.162340i | ||||
\(443\) | 7.81403 | + | 4.51143i | 0.371256 | + | 0.214345i | 0.674007 | − | 0.738725i | \(-0.264572\pi\) |
−0.302751 | + | 0.953070i | \(0.597905\pi\) | |||||||
\(444\) | 1.65307 | − | 0.803678i | 0.0784510 | − | 0.0381409i | ||||
\(445\) | −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 | \(-0.312327\pi\) | |||||||
\(450\) | 19.6520 | − | 6.22625i | 0.926405 | − | 0.293508i | ||||
\(451\) | 9.39228 | + | 16.2679i | 0.442265 | + | 0.766025i | ||||
\(452\) | 13.4021 | − | 17.6892i | 0.630384 | − | 0.832030i | ||||
\(453\) | 8.79026 | + | 13.4960i | 0.413003 | + | 0.634100i | ||||
\(454\) | 4.11709 | + | 20.3719i | 0.193225 | + | 0.956101i | ||||
\(455\) | 1.89877 | − | 3.94608i | 0.0890158 | − | 0.184995i | ||||
\(456\) | −17.8381 | + | 2.30195i | −0.835347 | + | 0.107799i | ||||
\(457\) | 1.94999 | − | 3.37748i | 0.0912165 | − | 0.157992i | −0.816807 | − | 0.576911i | \(-0.804258\pi\) |
0.908023 | + | 0.418920i | \(0.137591\pi\) | |||||||
\(458\) | 17.2287 | − | 15.2027i | 0.805044 | − | 0.710376i | ||||
\(459\) | −9.08488 | − | 11.1268i | −0.424046 | − | 0.519355i | ||||
\(460\) | −0.674846 | + | 5.38028i | −0.0314648 | + | 0.250857i | ||||
\(461\) | −1.86342 | −0.0867882 | −0.0433941 | − | 0.999058i | \(-0.513817\pi\) | ||||
−0.0433941 | + | 0.999058i | \(0.513817\pi\) | |||||||
\(462\) | −10.0990 | − | 29.6545i | −0.469848 | − | 1.37965i | ||||
\(463\) | − | 10.6477i | − | 0.494841i | −0.968908 | − | 0.247421i | \(-0.920417\pi\) | ||
0.968908 | − | 0.247421i | \(-0.0795829\pi\) | |||||||
\(464\) | −1.04837 | − | 3.72932i | −0.0486694 | − | 0.173129i | ||||
\(465\) | 2.08960 | − | 0.112329i | 0.0969027 | − | 0.00520915i | ||||
\(466\) | −10.2230 | + | 9.02082i | −0.473570 | + | 0.417881i | ||||
\(467\) | −12.9511 | − | 7.47734i | −0.599307 | − | 0.346010i | 0.169462 | − | 0.985537i | \(-0.445797\pi\) |
−0.768769 | + | 0.639527i | \(0.779130\pi\) | |||||||
\(468\) | 13.6167 | − | 22.6664i | 0.629434 | − | 1.04776i | ||||
\(469\) | 16.8584 | − | 11.5018i | 0.778451 | − | 0.531105i | ||||
\(470\) | −5.41777 | + | 1.09491i | −0.249903 | + | 0.0505045i | ||||
\(471\) | −5.38756 | − | 8.27174i | −0.248246 | − | 0.381142i | ||||
\(472\) | −2.34156 | + | 4.86023i | −0.107779 | + | 0.223710i | ||||
\(473\) | 3.12792 | − | 1.80590i | 0.143822 | − | 0.0830355i | ||||
\(474\) | 22.4587 | + | 22.8522i | 1.03156 | + | 1.04964i | ||||
\(475\) | 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 | \(-0.237148\pi\) |
−0.954692 | + | 0.297597i | \(0.903815\pi\) | |||||||
\(480\) | −3.19339 | − | 1.82858i | −0.145757 | − | 0.0834627i | ||||
\(481\) | −1.16919 | + | 2.02510i | −0.0533107 | + | 0.0923368i | ||||
\(482\) | 27.0062 | − | 5.45785i | 1.23010 | − | 0.248598i | ||||
\(483\) | 12.7229 | − | 30.5365i | 0.578912 | − | 1.38946i | ||||
\(484\) | −22.7913 | + | 9.60436i | −1.03597 | + | 0.436562i | ||||
\(485\) | −0.998320 | + | 1.72914i | −0.0453314 | + | 0.0785163i | ||||
\(486\) | 22.0113 | + | 1.22651i | 0.998451 | + | 0.0556356i | ||||
\(487\) | 21.0228 | − | 12.1375i | 0.952635 | − | 0.550004i | 0.0587366 | − | 0.998274i | \(-0.481293\pi\) |
0.893899 | + | 0.448269i | \(0.147959\pi\) | |||||||
\(488\) | 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 | \(-0.0832939\pi\) | |||||||
\(492\) | −11.1507 | − | 7.54170i | −0.502713 | − | 0.340006i | ||||
\(493\) | 2.31860 | − | 1.33865i | 0.104425 | − | 0.0602896i | ||||
\(494\) | 17.1571 | − | 15.1396i | 0.771936 | − | 0.681161i | ||||
\(495\) | −0.583874 | − | 5.41503i | −0.0262432 | − | 0.243388i | ||||
\(496\) | 9.20938 | + | 8.98657i | 0.413513 | + | 0.403509i | ||||
\(497\) | −1.10389 | − | 14.6672i | −0.0495163 | − | 0.657913i | ||||
\(498\) | 6.65729 | − | 24.0094i | 0.298320 | − | 1.07589i | ||||
\(499\) | −5.02244 | + | 8.69913i | −0.224835 | + | 0.389426i | −0.956270 | − | 0.292485i | \(-0.905518\pi\) |
0.731435 | + | 0.681912i | \(0.238851\pi\) | |||||||
\(500\) | 5.90270 | + | 4.47215i | 0.263977 | + | 0.200001i | ||||
\(501\) | 0.687028 | + | 12.7804i | 0.0306941 | + | 0.570985i | ||||
\(502\) | 4.52285 | + | 1.51988i | 0.201865 | + | 0.0678355i | ||||
\(503\) | 27.7498 | 1.23730 | 0.618652 | − | 0.785665i | \(-0.287679\pi\) | ||||
0.618652 | + | 0.785665i | \(0.287679\pi\) | |||||||
\(504\) | 15.8007 | + | 15.9479i | 0.703821 | + | 0.710377i | ||||
\(505\) | −5.73415 | −0.255166 | ||||||||
\(506\) | −46.7783 | − | 15.7196i | −2.07955 | − | 0.698820i | ||||
\(507\) | 0.597058 | + | 11.1067i | 0.0265163 | + | 0.493267i | ||||
\(508\) | −6.17359 | + | 8.14839i | −0.273909 | + | 0.361526i | ||||
\(509\) | −0.887907 | + | 1.53790i | −0.0393558 | + | 0.0681662i | −0.885032 | − | 0.465530i | \(-0.845864\pi\) |
0.845677 | + | 0.533696i | \(0.179197\pi\) | |||||||
\(510\) | 0.679540 | − | 2.45075i | 0.0300905 | − | 0.108521i | ||||
\(511\) | −1.94835 | + | 1.32928i | −0.0861901 | + | 0.0588040i | ||||
\(512\) | −5.02402 | − | 22.0626i | −0.222032 | − | 0.975039i | ||||
\(513\) | 17.8374 | + | 6.76470i | 0.787542 | + | 0.298669i | ||||
\(514\) | 11.0044 | − | 9.71032i | 0.485382 | − | 0.428304i | ||||
\(515\) | 4.48666 | − | 2.59037i | 0.197706 | − | 0.114145i | ||||
\(516\) | −1.45008 | + | 2.14401i | −0.0638364 | + | 0.0943846i | ||||
\(517\) | − | 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 | \(-0.439605\pi\) |
0.944784 | + | 0.327693i | \(0.106271\pi\) | |||||||
\(522\) | −0.883754 | + | 4.01269i | −0.0386808 | + | 0.175631i | ||||
\(523\) | −21.7587 | + | 37.6872i | −0.951442 | + | 1.64795i | −0.209133 | + | 0.977887i | \(0.567064\pi\) |
−0.742309 | + | 0.670058i | \(0.766269\pi\) | |||||||
\(524\) | 8.26139 | + | 19.6044i | 0.360901 | + | 0.856424i | ||||
\(525\) | −13.5183 | − | 17.6933i | −0.589987 | − | 0.772197i | ||||
\(526\) | −26.2780 | + | 5.31070i | −1.14578 | + | 0.231557i | ||||
\(527\) | −4.44645 | + | 7.70147i | −0.193690 | + | 0.335481i | ||||
\(528\) | 22.0689 | − | 25.1901i | 0.960425 | − | 1.09626i | ||||
\(529\) | −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 | ||||||||
\(534\) | 9.33091 | + | 9.49439i | 0.403788 | + | 0.410863i | ||||
\(535\) | 5.81147 | − | 3.35525i | 0.251252 | − | 0.145060i | ||||
\(536\) | 19.6552 | + | 9.46950i | 0.848976 | + | 0.409020i | ||||
\(537\) | 14.2049 | + | 21.8094i | 0.612987 | + | 0.941143i | ||||
\(538\) | −32.4877 | + | 6.56565i | −1.40065 | + | 0.283065i | ||||
\(539\) | −26.4413 | + | 21.1140i | −1.13891 | + | 0.909445i | ||||
\(540\) | 2.07305 | + | 3.30704i | 0.0892099 | + | 0.142312i | ||||
\(541\) | 34.4429 | + | 19.8856i | 1.48082 | + | 0.854950i | 0.999764 | − | 0.0217423i | \(-0.00692133\pi\) |
0.481052 | + | 0.876692i | \(0.340255\pi\) | |||||||
\(542\) | −27.7457 | + | 24.4830i | −1.19178 | + | 1.05163i | ||||
\(543\) | 5.07864 | − | 0.273010i | 0.217945 | − | 0.0117160i | ||||
\(544\) | 13.9179 | − | 7.13042i | 0.596727 | − | 0.305714i | ||||
\(545\) | − | 1.60261i | − | 0.0686482i | ||||||
\(546\) | −28.0174 | − | 5.54426i | −1.19903 | − | 0.237272i | ||||
\(547\) | −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 | ||||
\(549\) | −26.7128 | − | 11.8073i | −1.14007 | − | 0.503923i | ||||
\(550\) | −24.9061 | + | 21.9773i | −1.06200 | + | 0.937117i | ||||
\(551\) | −1.77781 | + | 3.07926i | −0.0757372 | + | 0.131181i | ||||
\(552\) | 35.0742 | − | 4.52621i | 1.49286 | − | 0.192648i | ||||
\(553\) | 15.0059 | − | 31.1857i | 0.638115 | − | 1.32615i | ||||
\(554\) | 1.80286 | + | 8.92078i | 0.0765961 | + | 0.379008i | ||||
\(555\) | −0.188381 | − | 0.289229i | −0.00799632 | − | 0.0122771i | ||||
\(556\) | −13.8808 | − | 10.5167i | −0.588677 | − | 0.446008i | ||||
\(557\) | −10.8279 | − | 18.7545i | −0.458793 | − | 0.794653i | 0.540104 | − | 0.841598i | \(-0.318385\pi\) |
−0.998897 | + | 0.0469450i | \(0.985051\pi\) | |||||||
\(558\) | −4.12208 | − | 13.0106i | −0.174502 | − | 0.550783i | ||||
\(559\) | − | 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 | \(-0.645757\pi\) |
0.555770 | + | 0.831336i | \(0.312423\pi\) | |||||||
\(564\) | 15.7620 | + | 32.4205i | 0.663699 | + | 1.36515i | ||||
\(565\) | −3.60920 | − | 2.08377i | −0.151840 | − | 0.0876650i | ||||
\(566\) | 35.8755 | − | 7.25032i | 1.50796 | − | 0.304753i | ||||
\(567\) | −6.80766 | − | 22.8179i | −0.285895 | − | 0.958261i | ||||
\(568\) | 12.9934 | − | 8.85560i | 0.545193 | − | 0.371573i | ||||
\(569\) | −12.2778 | − | 7.08859i | −0.514712 | − | 0.297169i | 0.220056 | − | 0.975487i | \(-0.429376\pi\) |
−0.734768 | + | 0.678318i | \(0.762709\pi\) | |||||||
\(570\) | 0.845810 | + | 3.26993i | 0.0354271 | + | 0.136962i | ||||
\(571\) | 8.29244 | + | 14.3629i | 0.347028 | + | 0.601070i | 0.985720 | − | 0.168392i | \(-0.0538576\pi\) |
−0.638692 | + | 0.769462i | \(0.720524\pi\) | |||||||
\(572\) | −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 | ||||||||
\(576\) | −6.33037 | + | 23.1501i | −0.263765 | + | 0.964587i | ||||
\(577\) | 2.31456 | + | 4.00893i | 0.0963563 | + | 0.166894i | 0.910174 | − | 0.414226i | \(-0.135948\pi\) |
−0.813818 | + | 0.581120i | \(0.802615\pi\) | |||||||
\(578\) | −8.75610 | − | 9.92298i | −0.364206 | − | 0.412742i | ||||
\(579\) | 11.6678 | − | 7.59948i | 0.484897 | − | 0.315824i | ||||
\(580\) | −0.670372 | + | 0.282498i | −0.0278357 | + | 0.0117301i | ||||
\(581\) | −26.8356 | + | 2.01972i | −1.11333 | + | 0.0837922i | ||||
\(582\) | 12.5486 | + | 3.47946i | 0.520156 | + | 0.144228i | ||||
\(583\) | 11.7717 | + | 6.79639i | 0.487534 | + | 0.281478i | ||||
\(584\) | −2.27158 | − | 1.09440i | −0.0939987 | − | 0.0452868i | ||||
\(585\) | −4.54161 | − | 2.00743i | −0.187772 | − | 0.0829972i | ||||
\(586\) | 6.70206 | − | 19.9440i | 0.276859 | − | 0.823878i | ||||
\(587\) | 8.36823i | 0.345394i | 0.984975 | + | 0.172697i | \(0.0552481\pi\) | ||||
−0.984975 | + | 0.172697i | \(0.944752\pi\) | |||||||
\(588\) | 10.4256 | − | 21.8931i | 0.429943 | − | 0.902856i | ||||
\(589\) | − | 11.8103i | − | 0.486637i | ||||||
\(590\) | 0.960318 | + | 0.322709i | 0.0395357 | + | 0.0132857i | ||||
\(591\) | 1.64006 | + | 30.5091i | 0.0674632 | + | 1.25498i | ||||
\(592\) | 0.524183 | − | 2.05668i | 0.0215438 | − | 0.0845290i | ||||
\(593\) | 40.0030 | + | 23.0957i | 1.64273 | + | 0.948428i | 0.979859 | + | 0.199690i | \(0.0639937\pi\) |
0.662867 | + | 0.748738i | \(0.269340\pi\) | |||||||
\(594\) | −33.2378 | + | 12.5307i | −1.36376 | + | 0.514142i | ||||
\(595\) | −2.73924 | + | 0.206162i | −0.112298 | + | 0.00845183i | ||||
\(596\) | −28.1389 | + | 11.8579i | −1.15262 | + | 0.485717i | ||||
\(597\) | 19.1413 | + | 29.3884i | 0.783402 | + | 1.20279i | ||||
\(598\) | −33.7352 | + | 29.7682i | −1.37954 | + | 1.21731i | ||||
\(599\) | −6.73034 | − | 11.6573i | −0.274994 | − | 0.476304i | 0.695139 | − | 0.718875i | \(-0.255343\pi\) |
−0.970134 | + | 0.242571i | \(0.922009\pi\) | |||||||
\(600\) | 9.16566 | − | 21.9685i | 0.374187 | − | 0.896860i | ||||
\(601\) | 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 | ||||
\(606\) | 9.36526 | + | 36.2064i | 0.380438 | + | 1.47078i | ||||
\(607\) | −15.4624 | − | 8.92721i | −0.627599 | − | 0.362344i | 0.152223 | − | 0.988346i | \(-0.451357\pi\) |
−0.779821 | + | 0.626002i | \(0.784690\pi\) | |||||||
\(608\) | −11.2727 | + | 17.4429i | −0.457169 | + | 0.707405i | ||||
\(609\) | 4.40130 | − | 0.570159i | 0.178350 | − | 0.0231040i | ||||
\(610\) | −1.02430 | − | 5.06837i | −0.0414727 | − | 0.205212i | ||||
\(611\) | −39.7170 | − | 22.9306i | −1.60678 | − | 0.927674i | ||||
\(612\) | −16.5843 | − | 0.288068i | −0.670380 | − | 0.0116445i | ||||
\(613\) | −10.6663 | + | 6.15819i | −0.430808 | + | 0.248727i | −0.699691 | − | 0.714446i | \(-0.746679\pi\) |
0.268883 | + | 0.963173i | \(0.413345\pi\) | |||||||
\(614\) | 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 | \(0.871528\pi\) | |||||||
\(618\) | −23.6838 | − | 24.0988i | −0.952704 | − | 0.969396i | ||||
\(619\) | −6.50490 | − | 11.2668i | −0.261454 | − | 0.452851i | 0.705175 | − | 0.709034i | \(-0.250869\pi\) |
−0.966628 | + | 0.256182i | \(0.917535\pi\) | |||||||
\(620\) | 1.45921 | − | 1.92598i | 0.0586034 | − | 0.0773493i | ||||
\(621\) | −35.0728 | − | 13.3011i | −1.40742 | − | 0.533754i | ||||
\(622\) | 40.5627 | − | 8.19758i | 1.62642 | − | 0.328693i | ||||
\(623\) | 6.23448 | − | 12.9567i | 0.249779 | − | 0.519098i | ||||
\(624\) | −9.82882 | − | 28.9074i | −0.393468 | − | 1.15722i | ||||
\(625\) | −11.4520 | + | 19.8355i | −0.458081 | + | 0.793420i | ||||
\(626\) | −27.2253 | − | 30.8534i | −1.08814 | − | 1.23315i | ||||
\(627\) | −30.6943 | + | 1.65002i | −1.22581 | + | 0.0658954i | ||||
\(628\) | −11.3101 | − | 1.41861i | −0.451321 | − | 0.0566089i | ||||
\(629\) | 1.46684 | 0.0584869 | ||||||||
\(630\) | 2.60226 | − | 3.31683i | 0.103676 | − | 0.132146i | ||||
\(631\) | 14.6772i | 0.584292i | 0.956374 | + | 0.292146i | \(0.0943693\pi\) | ||||
−0.956374 | + | 0.292146i | \(0.905631\pi\) | |||||||
\(632\) | 36.8947 | − | 2.75867i | 1.46759 | − | 0.109734i | ||||
\(633\) | −0.376574 | − | 7.00519i | −0.0149675 | − | 0.278431i | ||||
\(634\) | 25.9887 | + | 29.4521i | 1.03214 | + | 1.16969i | ||||
\(635\) | 1.66255 | + | 0.959873i | 0.0659763 | + | 0.0380914i | ||||
\(636\) | −9.71645 | − | 0.691742i | −0.385282 | − | 0.0274294i | ||||
\(637\) | 4.61741 | + | 30.5015i | 0.182948 | + | 1.20852i | ||||
\(638\) | −1.31147 | − | 6.48935i | −0.0519218 | − | 0.256916i | ||||
\(639\) | −16.5820 | + | 1.78794i | −0.655972 | + | 0.0707299i | ||||
\(640\) | −3.99345 | + | 1.45174i | −0.157855 | + | 0.0573849i | ||||
\(641\) | −17.2820 | + | 9.97777i | −0.682598 | + | 0.394098i | −0.800833 | − | 0.598887i | \(-0.795610\pi\) |
0.118235 | + | 0.992986i | \(0.462276\pi\) | |||||||
\(642\) | −30.6772 | − | 31.2147i | −1.21073 | − | 1.23194i | ||||
\(643\) | −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 | \(-0.110507\pi\) |
−0.764824 | + | 0.644240i | \(0.777174\pi\) | |||||||
\(648\) | 17.4954 | − | 18.4908i | 0.687286 | − | 0.726387i | ||||
\(649\) | −4.61000 | + | 7.98475i | −0.180958 | + | 0.313429i | ||||
\(650\) | 5.99883 | + | 29.6830i | 0.235294 | + | 1.16426i | ||||
\(651\) | −11.7138 | + | 8.94979i | −0.459100 | + | 0.350770i | ||||
\(652\) | −12.2022 | + | 5.14206i | −0.477875 | + | 0.201379i | ||||
\(653\) | −1.45211 | + | 2.51513i | −0.0568255 | + | 0.0984246i | −0.893039 | − | 0.449980i | \(-0.851431\pi\) |
0.836213 | + | 0.548404i | \(0.184765\pi\) | |||||||
\(654\) | −10.1191 | + | 2.61745i | −0.395689 | + | 0.102350i | ||||
\(655\) | 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 | \(0.890262\pi\) | |||||||
\(660\) | −5.20937 | − | 3.52332i | −0.202774 | − | 0.137145i | ||||
\(661\) | −14.3912 | + | 8.30877i | −0.559753 | + | 0.323174i | −0.753046 | − | 0.657967i | \(-0.771416\pi\) |
0.193293 | + | 0.981141i | \(0.438083\pi\) | |||||||
\(662\) | −0.707701 | − | 0.802012i | −0.0275056 | − | 0.0311711i | ||||
\(663\) | 17.6818 | − | 11.5165i | 0.686705 | − | 0.447266i | ||||
\(664\) | −16.2025 | − | 23.7733i | −0.628781 | − | 0.922583i | ||||
\(665\) | 3.01360 | − | 2.05606i | 0.116862 | − | 0.0797305i | ||||
\(666\) | −1.51857 | + | 1.66185i | −0.0588433 | + | 0.0643953i | ||||
\(667\) | 3.49562 | − | 6.05459i | 0.135351 | − | 0.234434i | ||||
\(668\) | 11.7797 | + | 8.92482i | 0.455769 | + | 0.345312i | ||||
\(669\) | 21.0399 | − | 1.13103i | 0.813449 | − | 0.0437281i | ||||
\(670\) | 1.30507 | − | 3.88362i | 0.0504191 | − | 0.150037i | ||||
\(671\) | 47.0591 | 1.81669 | ||||||||
\(672\) | 25.8428 | − | 2.03754i | 0.996906 | − | 0.0785997i | ||||
\(673\) | 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 | ||||
\(675\) | −19.5570 | + | 15.9680i | −0.752748 | + | 0.614609i | ||||
\(676\) | 10.2371 | + | 7.75608i | 0.393734 | + | 0.298311i | ||||
\(677\) | −4.56843 | + | 7.91276i | −0.175579 | + | 0.304112i | −0.940362 | − | 0.340177i | \(-0.889513\pi\) |
0.764782 | + | 0.644289i | \(0.222846\pi\) | |||||||
\(678\) | −7.26260 | + | 26.1924i | −0.278918 | + | 1.00591i | ||||
\(679\) | −1.05562 | − | 14.0258i | −0.0405108 | − | 0.538259i | ||||
\(680\) | −1.65387 | − | 2.42665i | −0.0634229 | − | 0.0930578i | ||||
\(681\) | −13.8924 | − | 21.3295i | −0.532357 | − | 0.817350i | ||||
\(682\) | 14.5501 | + | 16.4891i | 0.557151 | + | 0.631400i | ||||
\(683\) | −13.5982 | + | 7.85092i | −0.520320 | + | 0.300407i | −0.737066 | − | 0.675821i | \(-0.763789\pi\) |
0.216745 | + | 0.976228i | \(0.430456\pi\) | |||||||
\(684\) | 19.2655 | − | 10.6812i | 0.736635 | − | 0.408405i | ||||
\(685\) | 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 | ||||
\(690\) | −1.66307 | − | 6.42950i | −0.0633122 | − | 0.244767i | ||||
\(691\) | −0.617408 | + | 1.06938i | −0.0234873 | + | 0.0406812i | −0.877530 | − | 0.479521i | \(-0.840810\pi\) |
0.854043 | + | 0.520203i | \(0.174144\pi\) | |||||||
\(692\) | 11.8560 | − | 4.99618i | 0.450699 | − | 0.189926i | ||||
\(693\) | 24.8965 | + | 29.1931i | 0.945738 | + | 1.10895i | ||||
\(694\) | 1.68384 | + | 8.33186i | 0.0639177 | + | 0.316273i | ||||
\(695\) | −1.63515 | + | 2.83216i | −0.0620246 | + | 0.107430i | ||||
\(696\) | 2.87862 | + | 3.77146i | 0.109114 | + | 0.142957i | ||||
\(697\) | −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 | \(-0.322394\pi\) | ||||
0.529462 | + | 0.848333i | \(0.322394\pi\) | |||||||
\(702\) | −5.25774 | + | 31.9551i | −0.198440 | + | 1.20607i | ||||
\(703\) | −1.68707 | + | 0.974031i | −0.0636291 | + | 0.0367363i | ||||
\(704\) | −5.75082 | − | 38.2409i | −0.216742 | − | 1.44126i | ||||
\(705\) | 5.67244 | − | 3.69458i | 0.213637 | − | 0.139146i | ||||
\(706\) | −7.03174 | − | 34.7940i | −0.264643 | − | 1.30949i | ||||
\(707\) | 33.3682 | − | 22.7657i | 1.25494 | − | 0.856194i | ||||
\(708\) | 0.469209 | − | 6.59067i | 0.0176340 | − | 0.247693i | ||||
\(709\) | −17.7860 | − | 10.2687i | −0.667966 | − | 0.385650i | 0.127340 | − | 0.991859i | \(-0.459356\pi\) |
−0.795305 | + | 0.606209i | \(0.792690\pi\) | |||||||
\(710\) | −1.95371 | − | 2.21407i | −0.0733214 | − | 0.0830926i | ||||
\(711\) | −35.8921 | − | 15.8646i | −1.34606 | − | 0.594971i | ||||
\(712\) | 15.3286 | − | 1.14614i | 0.574463 | − | 0.0429535i | ||||
\(713\) | 23.2221i | 0.869673i | ||||||||
\(714\) | 5.77558 | + | 16.9593i | 0.216146 | + | 0.634685i | ||||
\(715\) | 8.00081 | 0.299213 | ||||||||
\(716\) | 29.8202 | + | 3.74033i | 1.11443 | + | 0.139783i | ||||
\(717\) | −1.76241 | − | 32.7852i | −0.0658186 | − | 1.22438i | ||||
\(718\) | −20.0803 | − | 22.7563i | −0.749390 | − | 0.849258i | ||||
\(719\) | 1.30734 | − | 2.26437i | 0.0487554 | − | 0.0844469i | −0.840618 | − | 0.541629i | \(-0.817808\pi\) |
0.889373 | + | 0.457182i | \(0.151141\pi\) | |||||||
\(720\) | 4.46144 | + | 0.638482i | 0.166268 | + | 0.0237948i | ||||
\(721\) | −15.8244 | + | 32.8868i | −0.589333 | + | 1.22477i | ||||
\(722\) | −7.65304 | + | 1.54665i | −0.284817 | + | 0.0575604i | ||||
\(723\) | −28.2757 | + | 18.4165i | −1.05158 | + | 0.684919i | ||||
\(724\) | 3.54653 | − | 4.68098i | 0.131806 | − | 0.173967i | ||||
\(725\) | −2.35287 | − | 4.07528i | −0.0873832 | − | 0.151352i | ||||
\(726\) | 21.6040 | − | 21.2320i | 0.801801 | − | 0.787994i | ||||
\(727\) | 29.9784i | 1.11184i | 0.831237 | + | 0.555918i | \(0.187633\pi\) | ||||
−0.831237 | + | 0.555918i | \(0.812367\pi\) | |||||||
\(728\) | −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 | ||||
\(732\) | −30.3296 | + | 14.7455i | −1.12101 | + | 0.545008i | ||||
\(733\) | 31.4773 | + | 18.1734i | 1.16264 | + | 0.671250i | 0.951935 | − | 0.306299i | \(-0.0990909\pi\) |
0.210705 | + | 0.977550i | \(0.432424\pi\) | |||||||
\(734\) | 4.23748 | + | 20.9676i | 0.156408 | + | 0.773929i | ||||
\(735\) | −4.32294 | − | 1.43091i | −0.159454 | − | 0.0527797i | ||||
\(736\) | 22.1650 | − | 34.2972i | 0.817012 | − | 1.26421i | ||||
\(737\) | 32.2911 | + | 18.6433i | 1.18946 | + | 0.686733i | ||||
\(738\) | 16.1012 | + | 3.54612i | 0.592693 | + | 0.130534i | ||||
\(739\) | −15.0194 | − | 26.0143i | −0.552497 | − | 0.956952i | −0.998094 | − | 0.0617187i | \(-0.980342\pi\) |
0.445597 | − | 0.895234i | \(-0.352991\pi\) | |||||||
\(740\) | −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 | \(-0.634177\pi\) | ||||
−0.409158 | + | 0.912464i | \(0.634177\pi\) | |||||||
\(744\) | −14.5442 | − | 6.06812i | −0.533217 | − | 0.222468i | ||||
\(745\) | 2.86708 | + | 4.96592i | 0.105042 | + | 0.181937i | ||||
\(746\) | 19.2673 | − | 17.0016i | 0.705425 | − | 0.622471i | ||||
\(747\) | 3.27128 | + | 30.3390i | 0.119690 | + | 1.11004i | ||||
\(748\) | 24.6286 | − | 10.3786i | 0.900509 | − | 0.379478i | ||||
\(749\) | −20.4971 | + | 42.5976i | −0.748946 | + | 1.55648i | ||||
\(750\) | −8.74013 | − | 2.42345i | −0.319144 | − | 0.0884920i | ||||
\(751\) | −3.14957 | − | 1.81840i | −0.114929 | − | 0.0663545i | 0.441433 | − | 0.897294i | \(-0.354470\pi\) |
−0.556363 | + | 0.830940i | \(0.687803\pi\) | |||||||
\(752\) | 40.3363 | + | 10.2804i | 1.47091 | + | 0.374889i | ||||
\(753\) | −5.83532 | + | 0.313686i | −0.212651 | + | 0.0114314i | ||||
\(754\) | −5.72151 | − | 1.92268i | −0.208365 | − | 0.0700199i | ||||
\(755\) | − | 3.49245i | − | 0.127103i | ||||||
\(756\) | −25.1931 | − | 11.0139i | −0.916265 | − | 0.400572i | ||||
\(757\) | 4.37925i | 0.159166i | 0.996828 | + | 0.0795832i | \(0.0253589\pi\) | ||||
−0.996828 | + | 0.0795832i | \(0.974641\pi\) | |||||||
\(758\) | −11.5996 | + | 34.5182i | −0.421318 | + | 1.25376i | ||||
\(759\) | 60.3527 | − | 3.24435i | 2.19066 | − | 0.117762i | ||||
\(760\) | 3.51355 | + | 1.69276i | 0.127450 | + | 0.0614029i | ||||
\(761\) | −8.55783 | − | 4.94087i | −0.310221 | − | 0.179106i | 0.336804 | − | 0.941575i | \(-0.390654\pi\) |
−0.647025 | + | 0.762468i | \(0.723987\pi\) | |||||||
\(762\) | 3.34546 | − | 12.0653i | 0.121193 | − | 0.437081i | ||||
\(763\) | 6.36267 | + | 9.32589i | 0.230344 | + | 0.337620i | ||||
\(764\) | 24.8280 | − | 10.4626i | 0.898244 | − | 0.378524i | ||||
\(765\) | 0.333915 | + | 3.09684i | 0.0120727 | + | 0.111966i | ||||
\(766\) | −12.4785 | − | 14.1415i | −0.450867 | − | 0.510951i | ||||
\(767\) | 4.20292 | + | 7.27967i | 0.151759 | + | 0.262854i | ||||
\(768\) | 15.6888 | + | 22.8443i | 0.566120 | + | 0.824323i | ||||
\(769\) | −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 | \(-0.213700\pi\) |
−0.930200 | + | 0.367052i | \(0.880367\pi\) | |||||||
\(774\) | 0.681831 | − | 3.09586i | 0.0245079 | − | 0.111278i | ||||
\(775\) | 13.5365 | + | 7.81527i | 0.486244 | + | 0.280733i | ||||
\(776\) | 12.4252 | − | 8.46832i | 0.446039 | − | 0.303995i | ||||
\(777\) | 2.24452 | + | 0.935169i | 0.0805217 | + | 0.0335490i | ||||
\(778\) | 28.9396 | − | 5.84858i | 1.03753 | − | 0.209682i | ||||
\(779\) | 12.3557 | + | 7.13357i | 0.442689 | + | 0.255587i | ||||
\(780\) | −5.15653 | + | 2.50697i | −0.184633 | + | 0.0897639i | ||||
\(781\) | 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 | ||||||||
\(786\) | −18.2632 | − | 18.5831i | −0.651425 | − | 0.662839i | ||||
\(787\) | 17.2602 | + | 29.8955i | 0.615259 | + | 1.06566i | 0.990339 | + | 0.138667i | \(0.0442817\pi\) |
−0.375081 | + | 0.926992i | \(0.622385\pi\) | |||||||
\(788\) | 28.1203 | + | 21.3052i | 1.00174 | + | 0.758967i | ||||
\(789\) | 27.5133 | − | 17.9200i | 0.979500 | − | 0.637969i | ||||
\(790\) | −1.37628 | − | 6.81001i | −0.0489658 | − | 0.242289i | ||||
\(791\) | 29.2757 | − | 2.20336i | 1.04092 | − | 0.0783426i | ||||
\(792\) | −13.7387 | + | 38.6473i | −0.488183 | + | 1.37327i | ||||
\(793\) | 21.4518 | − | 37.1556i | 0.761775 | − | 1.31943i | ||||
\(794\) | 15.2573 | − | 13.4632i | 0.541463 | − | 0.477790i | ||||
\(795\) | 0.0981919 | + | 1.82661i | 0.00348251 | + | 0.0647831i | ||||
\(796\) | 40.1832 | + | 5.04015i | 1.42426 | + | 0.178644i | ||||
\(797\) | 3.97273 | 0.140721 | 0.0703607 | − | 0.997522i | \(-0.477585\pi\) | ||||
0.0703607 | + | 0.997522i | \(0.477585\pi\) | |||||||
\(798\) | −17.9042 | − | 15.6703i | −0.633803 | − | 0.554724i | ||||
\(799\) | 28.7682i | 1.01775i | ||||||||
\(800\) | −12.5327 | − | 24.4628i | −0.443100 | − | 0.864891i | ||||
\(801\) | −14.9120 | − | 6.59127i | −0.526891 | − | 0.232891i | ||||
\(802\) | 13.1289 | − | 11.5850i | 0.463597 | − | 0.409081i | ||||
\(803\) | −3.73193 | − | 2.15463i | −0.131697 | − | 0.0760352i | ||||
\(804\) | −26.6533 | − | 1.89752i | −0.939989 | − | 0.0669205i | ||||
\(805\) | −5.92549 | + | 4.04272i | −0.208846 | + | 0.142487i | ||||
\(806\) | 19.6516 | − | 3.97152i | 0.692199 | − | 0.139891i | ||||
\(807\) | 34.0149 | − | 22.1546i | 1.19738 | − | 0.779880i | ||||
\(808\) | 38.9039 | + | 18.7431i | 1.36863 | + | 0.659381i | ||||
\(809\) | 47.3518 | − | 27.3386i | 1.66480 | − | 0.961174i | 0.694429 | − | 0.719561i | \(-0.255657\pi\) |
0.970373 | − | 0.241612i | \(-0.0776762\pi\) | |||||||
\(810\) | −3.85423 | − | 2.82773i | −0.135424 | − | 0.0993563i | ||||
\(811\) | −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 | ||||
\(816\) | −12.6211 | + | 14.4061i | −0.441827 | + | 0.504315i | ||||
\(817\) | 1.37161 | − | 2.37570i | 0.0479866 | − | 0.0831152i | ||||
\(818\) | −17.1477 | + | 3.46549i | −0.599556 | + | 0.121168i | ||||
\(819\) | 34.3985 | − | 6.34944i | 1.20198 | − | 0.221867i | ||||
\(820\) | 1.13354 | + | 2.68991i | 0.0395849 | + | 0.0939358i | ||||
\(821\) | 4.69169 | − | 8.12624i | 0.163741 | − | 0.283608i | −0.772466 | − | 0.635056i | \(-0.780977\pi\) |
0.936207 | + | 0.351448i | \(0.114311\pi\) | |||||||
\(822\) | 0.874013 | − | 0.226075i | 0.0304847 | − | 0.00788526i | ||||
\(823\) | −9.28551 | + | 5.36099i | −0.323672 | + | 0.186872i | −0.653028 | − | 0.757333i | \(-0.726502\pi\) |
0.329356 | + | 0.944206i | \(0.393168\pi\) | |||||||
\(824\) | −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 | \(-0.238198\pi\) | |||||||
\(828\) | −37.8808 | + | 21.0019i | −1.31645 | + | 0.729865i | ||||
\(829\) | −30.9237 | + | 17.8538i | −1.07403 | + | 0.620089i | −0.929279 | − | 0.369380i | \(-0.879570\pi\) |
−0.144747 | + | 0.989469i | \(0.546237\pi\) | |||||||
\(830\) | −4.05095 | + | 3.57458i | −0.140610 | + | 0.124075i | ||||
\(831\) | −6.08342 | − | 9.34013i | −0.211032 | − | 0.324005i | ||||
\(832\) | −32.8146 | − | 12.8915i | −1.13764 | − | 0.446931i | ||||
\(833\) | 15.1217 | − | 12.0750i | 0.523934 | − | 0.418375i | ||||
\(834\) | 20.5533 | + | 5.69899i | 0.711703 | + | 0.197340i | ||||
\(835\) | 1.38764 | − | 2.40346i | 0.0480212 | − | 0.0831751i | ||||
\(836\) | −21.4345 | + | 28.2910i | −0.741329 | + | 0.978463i | ||||
\(837\) | 10.5716 | + | 12.9477i | 0.365408 | + | 0.447537i | ||||
\(838\) | −46.4706 | − | 15.6162i | −1.60530 | − | 0.539452i | ||||
\(839\) | −8.55082 | −0.295207 | −0.147604 | − | 0.989047i | \(-0.547156\pi\) | ||||
−0.147604 | + | 0.989047i | \(0.547156\pi\) | |||||||
\(840\) | −0.983618 | − | 4.76759i | −0.0339380 | − | 0.164498i | ||||
\(841\) | −28.0621 | −0.967658 | ||||||||
\(842\) | 19.0183 | + | 6.39099i | 0.655415 | + | 0.220248i | ||||
\(843\) | −16.4366 | + | 0.883572i | −0.566106 | + | 0.0304318i | ||||
\(844\) | −6.45668 | − | 4.89188i | −0.222248 | − | 0.168385i | ||||
\(845\) | 1.20592 | − | 2.08871i | 0.0414849 | − | 0.0718539i | ||||
\(846\) | −32.5927 | − | 29.7826i | −1.12056 | − | 1.02395i | ||||
\(847\) | −29.4823 | − | 14.1863i | −1.01302 | − | 0.487445i | ||||
\(848\) | −7.85555 | + | 8.05031i | −0.269761 | + | 0.276449i | ||||
\(849\) | −37.5619 | + | 24.4649i | −1.28912 | + | 0.839633i | ||||
\(850\) | 14.2437 | − | 12.5687i | 0.488556 | − | 0.431105i | ||||
\(851\) | 3.31720 | − | 1.91519i | 0.113712 | − | 0.0656518i | ||||
\(852\) | −10.7891 | + | 15.9522i | −0.369630 | + | 0.546512i | ||||
\(853\) | 8.40371i | 0.287738i | 0.989597 | + | 0.143869i | \(0.0459543\pi\) | ||||
−0.989597 | + | 0.143869i | \(0.954046\pi\) | |||||||
\(854\) | 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 | \(-0.820672\pi\) |
0.0397658 | + | 0.999209i | \(0.487339\pi\) | |||||||
\(858\) | −13.0673 | − | 50.5185i | −0.446109 | − | 1.72467i | ||||
\(859\) | 17.5259 | − | 30.3557i | 0.597975 | − | 1.03572i | −0.395144 | − | 0.918619i | \(-0.629305\pi\) |
0.993120 | − | 0.117105i | \(-0.0373612\pi\) | |||||||
\(860\) | 0.517203 | − | 0.217952i | 0.0176365 | − | 0.00743209i | ||||
\(861\) | −2.28780 | − | 17.6605i | −0.0779680 | − | 0.601868i | ||||
\(862\) | 14.9355 | − | 3.01840i | 0.508704 | − | 0.102807i | ||||
\(863\) | 3.49489 | − | 6.05332i | 0.118967 | − | 0.206057i | −0.800391 | − | 0.599478i | \(-0.795375\pi\) |
0.919359 | + | 0.393420i | \(0.128708\pi\) | |||||||
\(864\) | −3.25513 | − | 29.2131i | −0.110742 | − | 0.993849i | ||||
\(865\) | −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 | ||||||||
\(870\) | 0.635449 | − | 0.624507i | 0.0215437 | − | 0.0211728i | ||||
\(871\) | 29.4396 | − | 16.9970i | 0.997524 | − | 0.575921i | ||||
\(872\) | −5.23841 | + | 10.8730i | −0.177395 | + | 0.368207i | ||||
\(873\) | −15.8568 | + | 1.70975i | −0.536671 | + | 0.0578663i | ||||
\(874\) | −36.7385 | + | 7.42471i | −1.24270 | + | 0.251145i | ||||
\(875\) | 0.735239 | + | 9.76898i | 0.0248556 | + | 0.330252i | ||||
\(876\) | 3.08036 | + | 0.219300i | 0.104076 | + | 0.00740945i | ||||
\(877\) | −11.7109 | − | 6.76132i | −0.395450 | − | 0.228313i | 0.289069 | − | 0.957308i | \(-0.406654\pi\) |
−0.684519 | + | 0.728995i | \(0.739988\pi\) | |||||||
\(878\) | 30.2248 | − | 26.6706i | 1.02004 | − | 0.900088i | ||||
\(879\) | 1.38323 | + | 25.7314i | 0.0466552 | + | 0.867900i | ||||
\(880\) | −6.99091 | + | 1.96526i | −0.235664 | + | 0.0662488i | ||||
\(881\) | 5.67542i | 0.191210i | 0.995419 | + | 0.0956049i | \(0.0304785\pi\) | ||||
−0.995419 | + | 0.0956049i | \(0.969521\pi\) | |||||||
\(882\) | −1.97458 | + | 29.6328i | −0.0664875 | + | 0.997787i | ||||
\(883\) | −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 | ||||
\(885\) | −1.23899 | + | 0.0666036i | −0.0416481 | + | 0.00223886i | ||||
\(886\) | −9.56787 | + | 8.44275i | −0.321439 | + | 0.283640i | ||||
\(887\) | −21.1355 | + | 36.6077i | −0.709660 | + | 1.22917i | 0.255323 | + | 0.966856i | \(0.417818\pi\) |
−0.964983 | + | 0.262312i | \(0.915515\pi\) | |||||||
\(888\) | 0.332690 | + | 2.57805i | 0.0111643 | + | 0.0865138i | ||||
\(889\) | −13.4856 | + | 1.01496i | −0.452292 | + | 0.0340407i | ||||
\(890\) | −0.571801 | − | 2.82935i | −0.0191668 | − | 0.0948399i | ||||
\(891\) | 32.1732 | − | 29.2838i | 1.07784 | − | 0.981045i | ||||
\(892\) | 14.6926 | − | 19.3925i | 0.491945 | − | 0.649308i | ||||
\(893\) | −19.1030 | − | 33.0874i | −0.639258 | − | 1.10723i | ||||
\(894\) | 26.6730 | − | 26.2138i | 0.892080 | − | 0.876719i | ||||
\(895\) | − | 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 | ||||
\(900\) | −0.506321 | + | 29.1493i | −0.0168774 | + | 0.971642i | ||||
\(901\) | −6.73219 | − | 3.88683i | −0.224282 | − | 0.129489i | ||||
\(902\) | −26.0389 | + | 5.26238i | −0.867002 | + | 0.175218i | ||||
\(903\) | −3.39568 | + | 0.439887i | −0.113001 | + | 0.0146385i | ||||
\(904\) | 17.6758 | + | 25.9349i | 0.587887 | + | 0.862581i | ||||
\(905\) | −0.955081 | − | 0.551416i | −0.0317480 | − | 0.0183297i | ||||
\(906\) | −22.0519 | + | 5.70402i | −0.732627 | + | 0.189503i | ||||
\(907\) | −0.140326 | − | 0.243051i | −0.00465943 | − | 0.00807037i | 0.863686 | − | 0.504030i | \(-0.168150\pi\) |
−0.868346 | + | 0.495959i | \(0.834816\pi\) | |||||||
\(908\) | −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 | \(-0.673465\pi\) | ||||
−0.518382 | + | 0.855149i | \(0.673465\pi\) | |||||||
\(912\) | 4.94989 | − | 24.9498i | 0.163907 | − | 0.826172i | ||||
\(913\) | −24.5840 | − | 42.5808i | −0.813613 | − | 1.40922i | ||||
\(914\) | 3.64923 | + | 4.13554i | 0.120706 | + | 0.136792i | ||||
\(915\) | 3.45631 | + | 5.30662i | 0.114262 | + | 0.175431i | ||||
\(916\) | 12.6187 | + | 29.9444i | 0.416934 | + | 0.989392i | ||||
\(917\) | −12.2026 | + | 25.3598i | −0.402965 | + | 0.837454i | ||||
\(918\) | 19.0086 | − | 7.16628i | 0.627377 | − | 0.236522i | ||||
\(919\) | 9.61418 | + | 5.55075i | 0.317142 | + | 0.183102i | 0.650118 | − | 0.759833i | \(-0.274719\pi\) |
−0.332976 | + | 0.942935i | \(0.608053\pi\) | |||||||
\(920\) | −6.90852 | − | 3.32839i | −0.227767 | − | 0.109734i | ||||
\(921\) | 1.34489 | + | 25.0181i | 0.0443155 | + | 0.824375i | ||||
\(922\) | 0.839440 | − | 2.49800i | 0.0276455 | − | 0.0822674i | ||||
\(923\) | − | 24.5001i | − | 0.806432i | ||||||
\(924\) | 44.3027 | − | 0.179342i | 1.45745 | − | 0.00589993i | ||||
\(925\) | − | 2.57819i | − | 0.0847703i | ||||||
\(926\) | 14.2738 | + | 4.79661i | 0.469065 | + | 0.157626i | ||||
\(927\) | 37.8500 | + | 16.7300i | 1.24316 | + | 0.549487i | ||||
\(928\) | 5.47159 | + | 0.274603i | 0.179614 | + | 0.00901429i | ||||
\(929\) | −33.0317 | − | 19.0708i | −1.08373 | − | 0.625694i | −0.151832 | − | 0.988406i | \(-0.548517\pi\) |
−0.931901 | + | 0.362712i | \(0.881851\pi\) | |||||||
\(930\) | −0.790745 | + | 2.85180i | −0.0259295 | + | 0.0935144i | ||||
\(931\) | −9.37378 | + | 23.9292i | −0.307213 | + | 0.784248i | ||||
\(932\) | −7.48755 | − | 17.7681i | −0.245263 | − | 0.582014i | ||||
\(933\) | −42.4695 | + | 27.6613i | −1.39039 | + | 0.905589i | ||||
\(934\) | 15.8580 | − | 13.9932i | 0.518889 | − | 0.457871i | ||||
\(935\) | −2.50941 | − | 4.34642i | −0.0820663 | − | 0.142143i | ||||
\(936\) | 24.2513 | + | 28.4647i | 0.792678 | + | 0.930398i | ||||
\(937\) | −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 | −0.987254 | − | 0.159154i | \(-0.949123\pi\) |
0.355796 | − | 0.934564i | \(-0.384210\pi\) | |||||||
\(942\) | 13.5157 | − | 3.49600i | 0.440364 | − | 0.113906i | ||||
\(943\) | −24.2944 | − | 14.0264i | −0.791135 | − | 0.456762i | ||||
\(944\) | −5.46053 | − | 5.32842i | −0.177725 | − | 0.173425i | ||||
\(945\) | −1.46341 | + | 4.95157i | −0.0476046 | + | 0.161075i | ||||
\(946\) | 1.01182 | + | 5.00664i | 0.0328973 | + | 0.162780i | ||||
\(947\) | 30.9054 | + | 17.8432i | 1.00429 | + | 0.579827i | 0.909515 | − | 0.415672i | \(-0.136454\pi\) |
0.0947747 | + | 0.995499i | \(0.469787\pi\) | |||||||
\(948\) | −40.7518 | + | 19.8124i | −1.32356 | + | 0.643478i | ||||
\(949\) | −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 | \(0.640430\pi\) | |||||||
\(954\) | 11.3731 | − | 3.60329i | 0.368219 | − | 0.116661i | ||||
\(955\) | −2.52972 | − | 4.38161i | −0.0818598 | − | 0.141785i | ||||
\(956\) | −30.2181 | − | 22.8946i | −0.977323 | − | 0.740465i | ||||
\(957\) | 4.42534 | + | 6.79440i | 0.143051 | + | 0.219632i | ||||
\(958\) | 13.3257 | − | 2.69308i | 0.430534 | − | 0.0870093i | ||||
\(959\) | −0.549559 | − | 0.805498i | −0.0177462 | − | 0.0260109i | ||||
\(960\) | 3.88986 | − | 3.45714i | 0.125545 | − | 0.111579i | ||||
\(961\) | −10.3259 | + | 17.8850i | −0.333094 | + | 0.576935i | ||||
\(962\) | −2.18804 | − | 2.47963i | −0.0705454 | − | 0.0799466i | ||||
\(963\) | 49.0263 | + | 21.6701i | 1.57985 | + | 0.698308i | ||||
\(964\) | −4.84931 | + | 38.6617i | −0.156186 | + | 1.24521i | ||||
\(965\) | −3.01935 | −0.0971962 | ||||||||
\(966\) | 35.2042 | + | 30.8118i | 1.13268 | + | 0.991354i | ||||
\(967\) | 20.3433i | 0.654196i | 0.944990 | + | 0.327098i | \(0.106071\pi\) | ||||
−0.944990 | + | 0.327098i | \(0.893929\pi\) | |||||||
\(968\) | −2.60799 | − | 34.8794i | −0.0838241 | − | 1.12107i | ||||
\(969\) | 17.5540 | − | 0.943638i | 0.563914 | − | 0.0303140i | ||||
\(970\) | −1.86827 | − | 2.11724i | −0.0599865 | − | 0.0679806i | ||||
\(971\) | −16.6834 | − | 9.63219i | −0.535397 | − | 0.309112i | 0.207814 | − | 0.978168i | \(-0.433365\pi\) |
−0.743211 | + | 0.669057i | \(0.766698\pi\) | |||||||
\(972\) | −11.5599 | + | 28.9546i | −0.370784 | + | 0.928719i | ||||
\(973\) | −1.72899 | − | 22.9727i | −0.0554289 | − | 0.736472i | ||||
\(974\) | 6.80051 | + | 33.6498i | 0.217902 | + | 1.07821i | ||||
\(975\) | −20.2420 | − | 31.0784i | −0.648263 | − | 0.995304i | ||||
\(976\) | −9.61744 | + | 37.7349i | −0.307847 | + | 1.20786i | ||||
\(977\) | −34.7039 | + | 20.0363i | −1.11028 | + | 0.641019i | −0.938901 | − | 0.344187i | \(-0.888155\pi\) |
−0.171376 | + | 0.985206i | \(0.554821\pi\) | |||||||
\(978\) | 11.5665 | − | 11.3674i | 0.369857 | − | 0.363488i | ||||
\(979\) | 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 | \(-0.180876\pi\) |
−0.887475 | + | 0.460857i | \(0.847542\pi\) | |||||||
\(984\) | 15.1332 | − | 11.5506i | 0.482429 | − | 0.368221i | ||||
\(985\) | 3.31255 | − | 5.73750i | 0.105547 | − | 0.182812i | ||||
\(986\) | 0.750027 | + | 3.71123i | 0.0238857 | + | 0.118190i | ||||
\(987\) | −18.3408 | + | 44.0203i | −0.583795 | + | 1.40118i | ||||
\(988\) | 12.5663 | + | 29.8201i | 0.399787 | + | 0.948703i | ||||
\(989\) | −2.69693 | + | 4.67122i | −0.0857573 | + | 0.148536i | ||||
\(990\) | 7.52213 | + | 1.65667i | 0.239069 | + | 0.0526524i | ||||
\(991\) | −26.8323 | + | 15.4916i | −0.852356 | + | 0.492108i | −0.861445 | − | 0.507851i | \(-0.830440\pi\) |
0.00908886 | + | 0.999959i | \(0.497107\pi\) | |||||||
\(992\) | −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 | ||||||
\(996\) | 29.1867 | + | 19.7402i | 0.924815 | + | 0.625492i | ||||
\(997\) | −20.5175 | + | 11.8458i | −0.649797 | + | 0.375160i | −0.788378 | − | 0.615191i | \(-0.789079\pi\) |
0.138581 | + | 0.990351i | \(0.455746\pi\) | |||||||
\(998\) | −9.39906 | − | 10.6516i | −0.297522 | − | 0.337171i | ||||
\(999\) | 0.977668 | − | 2.57795i | 0.0309320 | − | 0.0815628i |
(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.107.11 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.107.18 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.527.13 | 56 | |||
7.4 | even | 3 | inner | 168.2.v.a.11.8 | ✓ | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.107.21 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.527.14 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.527.24 | 56 | |||
21.11 | odd | 6 | inner | 168.2.v.a.11.21 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.527.23 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.107.8 | yes | 56 | |
28.11 | odd | 6 | 672.2.bd.a.431.23 | 56 | |||
56.11 | odd | 6 | inner | 168.2.v.a.11.18 | yes | 56 | |
56.53 | even | 6 | 672.2.bd.a.431.24 | 56 | |||
84.11 | even | 6 | 672.2.bd.a.431.14 | 56 | |||
168.11 | even | 6 | inner | 168.2.v.a.11.11 | yes | 56 | |
168.53 | odd | 6 | 672.2.bd.a.431.13 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.8 | ✓ | 56 | 7.4 | even | 3 | inner | |
168.2.v.a.11.11 | yes | 56 | 168.11 | even | 6 | inner | |
168.2.v.a.11.18 | yes | 56 | 56.11 | odd | 6 | inner | |
168.2.v.a.11.21 | yes | 56 | 21.11 | odd | 6 | inner | |
168.2.v.a.107.8 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.107.11 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.107.18 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.107.21 | yes | 56 | 8.3 | odd | 2 | inner | |
672.2.bd.a.431.13 | 56 | 168.53 | odd | 6 | |||
672.2.bd.a.431.14 | 56 | 84.11 | even | 6 | |||
672.2.bd.a.431.23 | 56 | 28.11 | odd | 6 | |||
672.2.bd.a.431.24 | 56 | 56.53 | even | 6 | |||
672.2.bd.a.527.13 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.527.14 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.527.23 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.527.24 | 56 | 12.11 | even | 2 |