Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [28,3,Mod(11,28)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(28, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("28.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 28 = 2^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 28.g (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: | \(0.762944740209\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 23.6 | ||
Root | \(0.378279 - 0.358951i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 28.23 |
Dual form | 28.3.g.a.11.6 |
$q$-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 \(\left(\mathbb{Z}/28\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78207 | − | 0.907869i | 0.891035 | − | 0.453934i | ||||
\(3\) | −1.63031 | + | 0.941260i | −0.543437 | + | 0.313753i | −0.746471 | − | 0.665418i | \(-0.768253\pi\) |
0.203034 | + | 0.979172i | \(0.434920\pi\) | |||||||
\(4\) | 2.35155 | − | 3.23577i | 0.587887 | − | 0.808943i | ||||
\(5\) | −1.12649 | + | 1.95113i | −0.225297 | + | 0.390226i | −0.956409 | − | 0.292032i | \(-0.905669\pi\) |
0.731111 | + | 0.682258i | \(0.239002\pi\) | |||||||
\(6\) | −2.05079 | + | 3.15750i | −0.341798 | + | 0.526250i | ||||
\(7\) | −6.84270 | + | 1.47562i | −0.977529 | + | 0.210803i | ||||
\(8\) | 1.25297 | − | 7.90127i | 0.156621 | − | 0.987659i | ||||
\(9\) | −2.72806 | + | 4.72514i | −0.303118 | + | 0.525015i | ||||
\(10\) | −0.236107 | + | 4.49975i | −0.0236107 | + | 0.449975i | ||||
\(11\) | 8.47301 | − | 4.89189i | 0.770274 | − | 0.444718i | −0.0626986 | − | 0.998033i | \(-0.519971\pi\) |
0.832972 | + | 0.553315i | \(0.186637\pi\) | |||||||
\(12\) | −0.788053 | + | 7.48873i | −0.0656710 | + | 0.624061i | ||||
\(13\) | 7.96206 | 0.612466 | 0.306233 | − | 0.951957i | \(-0.400931\pi\) | ||||
0.306233 | + | 0.951957i | \(0.400931\pi\) | |||||||
\(14\) | −10.8545 | + | 8.84193i | −0.775322 | + | 0.631566i | ||||
\(15\) | − | 4.24126i | − | 0.282751i | ||||||
\(16\) | −4.94043 | − | 15.2182i | −0.308777 | − | 0.951134i | ||||
\(17\) | −13.1901 | − | 22.8460i | −0.775889 | − | 1.34388i | −0.934293 | − | 0.356505i | \(-0.883968\pi\) |
0.158404 | − | 0.987374i | \(-0.449365\pi\) | |||||||
\(18\) | −0.571790 | + | 10.8972i | −0.0317661 | + | 0.605403i | ||||
\(19\) | 21.1322 | + | 12.2007i | 1.11222 | + | 0.642140i | 0.939403 | − | 0.342814i | \(-0.111380\pi\) |
0.172816 | + | 0.984954i | \(0.444713\pi\) | |||||||
\(20\) | 3.66442 | + | 8.23323i | 0.183221 | + | 0.411661i | ||||
\(21\) | 9.76678 | − | 8.84648i | 0.465085 | − | 0.421261i | ||||
\(22\) | 10.6583 | − | 16.4101i | 0.484468 | − | 0.745913i | ||||
\(23\) | 3.55297 | + | 2.05131i | 0.154477 | + | 0.0891874i | 0.575246 | − | 0.817981i | \(-0.304906\pi\) |
−0.420769 | + | 0.907168i | \(0.638240\pi\) | |||||||
\(24\) | 5.39442 | + | 14.0609i | 0.224767 | + | 0.585870i | ||||
\(25\) | 9.96206 | + | 17.2548i | 0.398482 | + | 0.690192i | ||||
\(26\) | 14.1890 | − | 7.22850i | 0.545729 | − | 0.278019i | ||||
\(27\) | − | 27.2139i | − | 1.00792i | ||||||
\(28\) | −11.3162 | + | 25.6114i | −0.404149 | + | 0.914693i | ||||
\(29\) | −12.3684 | −0.426495 | −0.213248 | − | 0.976998i | \(-0.568404\pi\) | ||||
−0.213248 | + | 0.976998i | \(0.568404\pi\) | |||||||
\(30\) | −3.85051 | − | 7.55823i | −0.128350 | − | 0.251941i | ||||
\(31\) | −44.2877 | + | 25.5695i | −1.42864 | + | 0.824823i | −0.997013 | − | 0.0772309i | \(-0.975392\pi\) |
−0.431623 | + | 0.902054i | \(0.642059\pi\) | |||||||
\(32\) | −22.6203 | − | 22.6346i | −0.706884 | − | 0.707330i | ||||
\(33\) | −9.20909 | + | 15.9506i | −0.279063 | + | 0.483352i | ||||
\(34\) | −44.2468 | − | 28.7382i | −1.30138 | − | 0.845241i | ||||
\(35\) | 4.82908 | − | 15.0133i | 0.137974 | − | 0.428950i | ||||
\(36\) | 8.87430 | + | 19.9388i | 0.246508 | + | 0.553855i | ||||
\(37\) | −16.7787 | + | 29.0615i | −0.453477 | + | 0.785446i | −0.998599 | − | 0.0529109i | \(-0.983150\pi\) |
0.545122 | + | 0.838357i | \(0.316483\pi\) | |||||||
\(38\) | 48.7356 | + | 2.55721i | 1.28252 | + | 0.0672950i | ||||
\(39\) | −12.9806 | + | 7.49437i | −0.332837 | + | 0.192163i | ||||
\(40\) | 14.0050 | + | 11.3454i | 0.350124 | + | 0.283634i | ||||
\(41\) | 31.2806 | 0.762941 | 0.381471 | − | 0.924381i | \(-0.375418\pi\) | ||||
0.381471 | + | 0.924381i | \(0.375418\pi\) | |||||||
\(42\) | 9.37365 | − | 24.6320i | 0.223182 | − | 0.586476i | ||||
\(43\) | 21.4052i | 0.497796i | 0.968530 | + | 0.248898i | \(0.0800685\pi\) | ||||
−0.968530 | + | 0.248898i | \(0.919932\pi\) | |||||||
\(44\) | 4.09565 | − | 38.9203i | 0.0930829 | − | 0.884551i | ||||
\(45\) | −6.14624 | − | 10.6456i | −0.136583 | − | 0.236569i | ||||
\(46\) | 8.19396 | + | 0.429946i | 0.178130 | + | 0.00934665i | ||||
\(47\) | −39.4162 | − | 22.7569i | −0.838642 | − | 0.484190i | 0.0181606 | − | 0.999835i | \(-0.494219\pi\) |
−0.856802 | + | 0.515645i | \(0.827552\pi\) | |||||||
\(48\) | 22.3787 | + | 20.1601i | 0.466222 | + | 0.420002i | ||||
\(49\) | 44.6451 | − | 20.1944i | 0.911124 | − | 0.412131i | ||||
\(50\) | 33.4182 | + | 21.7050i | 0.668364 | + | 0.434100i | ||||
\(51\) | 43.0080 | + | 24.8307i | 0.843294 | + | 0.486876i | ||||
\(52\) | 18.7232 | − | 25.7634i | 0.360061 | − | 0.495450i | ||||
\(53\) | −7.90437 | − | 13.6908i | −0.149139 | − | 0.258316i | 0.781770 | − | 0.623566i | \(-0.214317\pi\) |
−0.930909 | + | 0.365250i | \(0.880984\pi\) | |||||||
\(54\) | −24.7067 | − | 48.4971i | −0.457531 | − | 0.898095i | ||||
\(55\) | 22.0426i | 0.400774i | ||||||||
\(56\) | 3.08556 | + | 55.9149i | 0.0550993 | + | 0.998481i | ||||
\(57\) | −45.9360 | −0.805895 | ||||||||
\(58\) | −22.0413 | + | 11.2288i | −0.380022 | + | 0.193601i | ||||
\(59\) | 54.5014 | − | 31.4664i | 0.923752 | − | 0.533328i | 0.0389219 | − | 0.999242i | \(-0.487608\pi\) |
0.884830 | + | 0.465914i | \(0.154274\pi\) | |||||||
\(60\) | −13.7238 | − | 9.97354i | −0.228729 | − | 0.166226i | ||||
\(61\) | 18.8664 | − | 32.6776i | 0.309286 | − | 0.535699i | −0.668921 | − | 0.743334i | \(-0.733243\pi\) |
0.978206 | + | 0.207635i | \(0.0665767\pi\) | |||||||
\(62\) | −55.7101 | + | 85.7741i | −0.898549 | + | 1.38345i | ||||
\(63\) | 11.6948 | − | 36.3583i | 0.185632 | − | 0.577115i | ||||
\(64\) | −60.8601 | − | 19.8001i | −0.950939 | − | 0.309377i | ||||
\(65\) | −8.96915 | + | 15.5350i | −0.137987 | + | 0.239000i | ||||
\(66\) | −1.93019 | + | 36.7858i | −0.0292453 | + | 0.557360i | ||||
\(67\) | 28.1763 | − | 16.2676i | 0.420541 | − | 0.242800i | −0.274768 | − | 0.961511i | \(-0.588601\pi\) |
0.695309 | + | 0.718711i | \(0.255268\pi\) | |||||||
\(68\) | −104.942 | − | 11.0432i | −1.54326 | − | 0.162400i | ||||
\(69\) | −7.72326 | −0.111931 | ||||||||
\(70\) | −5.02431 | − | 31.1389i | −0.0717759 | − | 0.444841i | ||||
\(71\) | 16.1023i | 0.226793i | 0.993550 | + | 0.113397i | \(0.0361730\pi\) | ||||
−0.993550 | + | 0.113397i | \(0.963827\pi\) | |||||||
\(72\) | 33.9164 | + | 27.4756i | 0.471061 | + | 0.381605i | ||||
\(73\) | −9.53794 | − | 16.5202i | −0.130657 | − | 0.226304i | 0.793273 | − | 0.608866i | \(-0.208375\pi\) |
−0.923930 | + | 0.382562i | \(0.875042\pi\) | |||||||
\(74\) | −3.51674 | + | 67.0225i | −0.0475235 | + | 0.905709i | ||||
\(75\) | −32.4825 | − | 18.7538i | −0.433100 | − | 0.250050i | ||||
\(76\) | 89.1719 | − | 39.6884i | 1.17331 | − | 0.522216i | ||||
\(77\) | −50.7597 | + | 45.9767i | −0.659217 | + | 0.597100i | ||||
\(78\) | −16.3285 | + | 25.1402i | −0.209340 | + | 0.322310i | ||||
\(79\) | 4.94305 | + | 2.85387i | 0.0625702 | + | 0.0361249i | 0.530959 | − | 0.847398i | \(-0.321832\pi\) |
−0.468389 | + | 0.883523i | \(0.655165\pi\) | |||||||
\(80\) | 35.2579 | + | 7.50360i | 0.440724 | + | 0.0937950i | ||||
\(81\) | 1.06285 | + | 1.84091i | 0.0131216 | + | 0.0227273i | ||||
\(82\) | 55.7442 | − | 28.3987i | 0.679808 | − | 0.346325i | ||||
\(83\) | 37.5076i | 0.451898i | 0.974139 | + | 0.225949i | \(0.0725483\pi\) | ||||
−0.974139 | + | 0.225949i | \(0.927452\pi\) | |||||||
\(84\) | −5.65811 | − | 52.4060i | −0.0673584 | − | 0.623881i | ||||
\(85\) | 59.4339 | 0.699223 | ||||||||
\(86\) | 19.4332 | + | 38.1457i | 0.225967 | + | 0.443554i | ||||
\(87\) | 20.1643 | − | 11.6418i | 0.231773 | − | 0.133814i | ||||
\(88\) | −28.0357 | − | 73.0769i | −0.318588 | − | 0.830420i | ||||
\(89\) | 4.70315 | − | 8.14609i | 0.0528444 | − | 0.0915291i | −0.838393 | − | 0.545066i | \(-0.816505\pi\) |
0.891238 | + | 0.453537i | \(0.149838\pi\) | |||||||
\(90\) | −20.6178 | − | 13.3912i | −0.229087 | − | 0.148791i | ||||
\(91\) | −54.4820 | + | 11.7490i | −0.598703 | + | 0.129110i | ||||
\(92\) | 14.9926 | − | 6.67285i | 0.162963 | − | 0.0725310i | ||||
\(93\) | 48.1351 | − | 83.3725i | 0.517582 | − | 0.896479i | ||||
\(94\) | −90.9027 | − | 4.76976i | −0.967050 | − | 0.0507421i | ||||
\(95\) | −47.6102 | + | 27.4878i | −0.501160 | + | 0.289345i | ||||
\(96\) | 58.1831 | + | 15.6098i | 0.606074 | + | 0.162602i | ||||
\(97\) | −64.3953 | −0.663869 | −0.331934 | − | 0.943303i | \(-0.607701\pi\) | ||||
−0.331934 | + | 0.943303i | \(0.607701\pi\) | |||||||
\(98\) | 61.2268 | − | 76.5198i | 0.624763 | − | 0.780814i | ||||
\(99\) | 53.3815i | 0.539207i | ||||||||
\(100\) | 79.2588 | + | 8.34055i | 0.792588 | + | 0.0834055i | ||||
\(101\) | 75.9368 | + | 131.526i | 0.751849 | + | 1.30224i | 0.946925 | + | 0.321453i | \(0.104171\pi\) |
−0.195076 | + | 0.980788i | \(0.562495\pi\) | |||||||
\(102\) | 99.1862 | + | 5.20440i | 0.972414 | + | 0.0510236i | ||||
\(103\) | 52.2731 | + | 30.1799i | 0.507506 | + | 0.293009i | 0.731808 | − | 0.681511i | \(-0.238677\pi\) |
−0.224302 | + | 0.974520i | \(0.572010\pi\) | |||||||
\(104\) | 9.97623 | − | 62.9104i | 0.0959253 | − | 0.604908i | ||||
\(105\) | 6.25849 | + | 29.0217i | 0.0596047 | + | 0.276397i | ||||
\(106\) | −26.5156 | − | 17.2218i | −0.250147 | − | 0.162470i | ||||
\(107\) | −175.439 | − | 101.290i | −1.63962 | − | 0.946634i | −0.980964 | − | 0.194189i | \(-0.937792\pi\) |
−0.658655 | − | 0.752445i | \(-0.728874\pi\) | |||||||
\(108\) | −88.0581 | − | 63.9949i | −0.815352 | − | 0.592545i | ||||
\(109\) | −11.3676 | − | 19.6892i | −0.104290 | − | 0.180635i | 0.809158 | − | 0.587591i | \(-0.199924\pi\) |
−0.913448 | + | 0.406956i | \(0.866590\pi\) | |||||||
\(110\) | 20.0118 | + | 39.2815i | 0.181925 | + | 0.357104i | ||||
\(111\) | − | 63.1723i | − | 0.569120i | ||||||
\(112\) | 56.2621 | + | 96.8431i | 0.502340 | + | 0.864670i | ||||
\(113\) | 54.8460 | 0.485362 | 0.242681 | − | 0.970106i | \(-0.421973\pi\) | ||||
0.242681 | + | 0.970106i | \(0.421973\pi\) | |||||||
\(114\) | −81.8612 | + | 41.7039i | −0.718081 | + | 0.365823i | ||||
\(115\) | −8.00474 | + | 4.62154i | −0.0696065 | + | 0.0401873i | ||||
\(116\) | −29.0848 | + | 40.0212i | −0.250731 | + | 0.345010i | ||||
\(117\) | −21.7210 | + | 37.6218i | −0.185649 | + | 0.321554i | ||||
\(118\) | 68.5579 | − | 105.555i | 0.580999 | − | 0.894537i | ||||
\(119\) | 123.968 | + | 136.864i | 1.04175 | + | 1.15012i | ||||
\(120\) | −33.5114 | − | 5.31418i | −0.279261 | − | 0.0442848i | ||||
\(121\) | −12.6387 | + | 21.8909i | −0.104452 | + | 0.180917i | ||||
\(122\) | 3.95432 | − | 75.3620i | 0.0324125 | − | 0.617722i | ||||
\(123\) | −50.9971 | + | 29.4432i | −0.414610 | + | 0.239375i | ||||
\(124\) | −21.4076 | + | 203.433i | −0.172642 | + | 1.64059i | ||||
\(125\) | −101.213 | −0.809702 | ||||||||
\(126\) | −12.1676 | − | 75.4103i | −0.0965683 | − | 0.598495i | ||||
\(127\) | − | 204.534i | − | 1.61050i | −0.592934 | − | 0.805251i | \(-0.702031\pi\) | ||
0.592934 | − | 0.805251i | \(-0.297969\pi\) | |||||||
\(128\) | −126.433 | + | 19.9678i | −0.987757 | + | 0.155998i | ||||
\(129\) | −20.1479 | − | 34.8972i | −0.156185 | − | 0.270521i | ||||
\(130\) | −1.87990 | + | 35.8273i | −0.0144607 | + | 0.275595i | ||||
\(131\) | 83.0221 | + | 47.9328i | 0.633757 | + | 0.365900i | 0.782205 | − | 0.623021i | \(-0.214095\pi\) |
−0.148449 | + | 0.988920i | \(0.547428\pi\) | |||||||
\(132\) | 29.9569 | + | 67.3072i | 0.226946 | + | 0.509903i | ||||
\(133\) | −162.605 | − | 52.3025i | −1.22259 | − | 0.393252i | ||||
\(134\) | 35.4433 | − | 54.5703i | 0.264502 | − | 0.407241i | ||||
\(135\) | 53.0979 | + | 30.6561i | 0.393318 | + | 0.227082i | ||||
\(136\) | −197.039 | + | 75.5934i | −1.44882 | + | 0.555834i | ||||
\(137\) | −21.7237 | − | 37.6265i | −0.158567 | − | 0.274646i | 0.775785 | − | 0.630997i | \(-0.217354\pi\) |
−0.934352 | + | 0.356351i | \(0.884021\pi\) | |||||||
\(138\) | −13.7634 | + | 7.01171i | −0.0997347 | + | 0.0508095i | ||||
\(139\) | 29.8880i | 0.215021i | 0.994204 | + | 0.107511i | \(0.0342880\pi\) | ||||
−0.994204 | + | 0.107511i | \(0.965712\pi\) | |||||||
\(140\) | −37.2237 | − | 50.9302i | −0.265883 | − | 0.363787i | ||||
\(141\) | 85.6807 | 0.607665 | ||||||||
\(142\) | 14.6188 | + | 28.6954i | 0.102949 | + | 0.202081i | ||||
\(143\) | 67.4626 | − | 38.9496i | 0.471767 | − | 0.272375i | ||||
\(144\) | 85.3856 | + | 18.1718i | 0.592956 | + | 0.126193i | ||||
\(145\) | 13.9328 | − | 24.1323i | 0.0960881 | − | 0.166429i | ||||
\(146\) | −31.9954 | − | 20.7810i | −0.219147 | − | 0.142335i | ||||
\(147\) | −53.7771 | + | 74.9458i | −0.365831 | + | 0.509836i | ||||
\(148\) | 54.5805 | + | 122.631i | 0.368787 | + | 0.828591i | ||||
\(149\) | 132.670 | − | 229.791i | 0.890400 | − | 1.54222i | 0.0510042 | − | 0.998698i | \(-0.483758\pi\) |
0.839396 | − | 0.543520i | \(-0.182909\pi\) | |||||||
\(150\) | −74.9121 | − | 3.93071i | −0.499414 | − | 0.0262048i | ||||
\(151\) | 171.484 | − | 99.0061i | 1.13565 | − | 0.655669i | 0.190302 | − | 0.981726i | \(-0.439053\pi\) |
0.945350 | + | 0.326056i | \(0.105720\pi\) | |||||||
\(152\) | 122.879 | − | 151.684i | 0.808413 | − | 0.997921i | ||||
\(153\) | 143.934 | 0.940743 | ||||||||
\(154\) | −48.7165 | + | 128.017i | −0.316341 | + | 0.831278i | ||||
\(155\) | − | 115.215i | − | 0.743321i | ||||||
\(156\) | −6.27452 | + | 59.6257i | −0.0402213 | + | 0.382216i | ||||
\(157\) | 95.2766 | + | 165.024i | 0.606857 | + | 1.05111i | 0.991755 | + | 0.128148i | \(0.0409033\pi\) |
−0.384898 | + | 0.922959i | \(0.625763\pi\) | |||||||
\(158\) | 11.3998 | + | 0.598159i | 0.0721506 | + | 0.00378582i | ||||
\(159\) | 25.7731 | + | 14.8801i | 0.162095 | + | 0.0935857i | ||||
\(160\) | 69.6444 | − | 18.6376i | 0.435277 | − | 0.116485i | ||||
\(161\) | −27.3389 | − | 8.79366i | −0.169807 | − | 0.0546190i | ||||
\(162\) | 3.56538 | + | 2.31571i | 0.0220085 | + | 0.0142945i | ||||
\(163\) | 35.3404 | + | 20.4038i | 0.216812 | + | 0.125177i | 0.604473 | − | 0.796625i | \(-0.293384\pi\) |
−0.387661 | + | 0.921802i | \(0.626717\pi\) | |||||||
\(164\) | 73.5579 | − | 101.217i | 0.448524 | − | 0.617176i | ||||
\(165\) | −20.7478 | − | 35.9363i | −0.125744 | − | 0.217796i | ||||
\(166\) | 34.0519 | + | 66.8411i | 0.205132 | + | 0.402657i | ||||
\(167\) | 170.689i | 1.02209i | 0.859554 | + | 0.511045i | \(0.170741\pi\) | ||||
−0.859554 | + | 0.511045i | \(0.829259\pi\) | |||||||
\(168\) | −57.6609 | − | 88.2544i | −0.343220 | − | 0.525324i | ||||
\(169\) | −105.606 | −0.624885 | ||||||||
\(170\) | 105.915 | − | 53.9582i | 0.623032 | − | 0.317401i | ||||
\(171\) | −115.300 | + | 66.5683i | −0.674267 | + | 0.389288i | ||||
\(172\) | 69.2625 | + | 50.3355i | 0.402689 | + | 0.292648i | ||||
\(173\) | −5.65296 | + | 9.79122i | −0.0326761 | + | 0.0565967i | −0.881901 | − | 0.471435i | \(-0.843736\pi\) |
0.849225 | + | 0.528031i | \(0.177070\pi\) | |||||||
\(174\) | 25.3649 | − | 39.0531i | 0.145775 | − | 0.224443i | ||||
\(175\) | −93.6289 | − | 103.369i | −0.535022 | − | 0.590681i | ||||
\(176\) | −116.306 | − | 104.775i | −0.660829 | − | 0.595315i | ||||
\(177\) | −59.2361 | + | 102.600i | −0.334667 | + | 0.579661i | ||||
\(178\) | 0.985760 | − | 18.7867i | 0.00553798 | − | 0.105544i | ||||
\(179\) | −129.252 | + | 74.6236i | −0.722077 | + | 0.416892i | −0.815517 | − | 0.578733i | \(-0.803547\pi\) |
0.0934394 | + | 0.995625i | \(0.470214\pi\) | |||||||
\(180\) | −48.8999 | − | 5.14582i | −0.271666 | − | 0.0285879i | ||||
\(181\) | −228.588 | −1.26292 | −0.631459 | − | 0.775409i | \(-0.717544\pi\) | ||||
−0.631459 | + | 0.775409i | \(0.717544\pi\) | |||||||
\(182\) | −86.4242 | + | 70.4000i | −0.474858 | + | 0.386813i | ||||
\(183\) | 71.0329i | 0.388158i | ||||||||
\(184\) | 20.6597 | − | 25.5028i | 0.112281 | − | 0.138602i | ||||
\(185\) | −37.8018 | − | 65.4747i | −0.204334 | − | 0.353917i | ||||
\(186\) | 10.0889 | − | 192.276i | 0.0542415 | − | 1.03374i | ||||
\(187\) | −223.520 | − | 129.049i | −1.19529 | − | 0.690104i | ||||
\(188\) | −166.325 | + | 74.0276i | −0.884709 | + | 0.393764i | ||||
\(189\) | 40.1574 | + | 186.217i | 0.212473 | + | 0.985274i | ||||
\(190\) | −59.8894 | + | 92.2089i | −0.315208 | + | 0.485310i | ||||
\(191\) | −53.7445 | − | 31.0294i | −0.281385 | − | 0.162458i | 0.352665 | − | 0.935749i | \(-0.385275\pi\) |
−0.634050 | + | 0.773292i | \(0.718609\pi\) | |||||||
\(192\) | 117.858 | − | 25.0049i | 0.613843 | − | 0.130234i | ||||
\(193\) | 107.867 | + | 186.831i | 0.558895 | + | 0.968034i | 0.997589 | + | 0.0693978i | \(0.0221078\pi\) |
−0.438694 | + | 0.898636i | \(0.644559\pi\) | |||||||
\(194\) | −114.757 | + | 58.4624i | −0.591530 | + | 0.301353i | ||||
\(195\) | − | 33.7692i | − | 0.173175i | ||||||
\(196\) | 39.6405 | − | 191.950i | 0.202248 | − | 0.979334i | ||||
\(197\) | 26.7240 | 0.135655 | 0.0678274 | − | 0.997697i | \(-0.478393\pi\) | ||||
0.0678274 | + | 0.997697i | \(0.478393\pi\) | |||||||
\(198\) | 48.4634 | + | 95.1296i | 0.244765 | + | 0.480453i | ||||
\(199\) | 49.8604 | − | 28.7869i | 0.250555 | − | 0.144658i | −0.369463 | − | 0.929245i | \(-0.620459\pi\) |
0.620018 | + | 0.784587i | \(0.287125\pi\) | |||||||
\(200\) | 148.817 | − | 57.0932i | 0.744085 | − | 0.285466i | ||||
\(201\) | −30.6240 | + | 53.0424i | −0.152358 | + | 0.263892i | ||||
\(202\) | 254.733 | + | 165.449i | 1.26106 | + | 0.819053i | ||||
\(203\) | 84.6330 | − | 18.2510i | 0.416911 | − | 0.0899063i | ||||
\(204\) | 181.482 | − | 80.7734i | 0.889616 | − | 0.395948i | ||||
\(205\) | −35.2371 | + | 61.0325i | −0.171888 | + | 0.297720i | ||||
\(206\) | 120.554 | + | 6.32558i | 0.585212 | + | 0.0307067i | ||||
\(207\) | −19.3854 | + | 11.1922i | −0.0936494 | + | 0.0540685i | ||||
\(208\) | −39.3360 | − | 121.168i | −0.189115 | − | 0.582538i | ||||
\(209\) | 238.738 | 1.14228 | ||||||||
\(210\) | 37.5010 | + | 46.0368i | 0.178576 | + | 0.219223i | ||||
\(211\) | 219.742i | 1.04143i | 0.853730 | + | 0.520717i | \(0.174335\pi\) | ||||
−0.853730 | + | 0.520717i | \(0.825665\pi\) | |||||||
\(212\) | −62.8877 | − | 6.61779i | −0.296640 | − | 0.0312160i | ||||
\(213\) | −15.1565 | − | 26.2518i | −0.0711571 | − | 0.123248i | ||||
\(214\) | −404.603 | − | 21.2299i | −1.89067 | − | 0.0992053i | ||||
\(215\) | −41.7644 | − | 24.1127i | −0.194253 | − | 0.112152i | ||||
\(216\) | −215.025 | − | 34.0983i | −0.995484 | − | 0.157862i | ||||
\(217\) | 265.317 | − | 240.316i | 1.22266 | − | 1.10745i | ||||
\(218\) | −38.1330 | − | 24.7673i | −0.174922 | − | 0.113611i | ||||
\(219\) | 31.0996 | + | 17.9554i | 0.142007 | + | 0.0819879i | ||||
\(220\) | 71.3248 | + | 51.8342i | 0.324204 | + | 0.235610i | ||||
\(221\) | −105.021 | − | 181.901i | −0.475206 | − | 0.823081i | ||||
\(222\) | −57.3522 | − | 112.578i | −0.258343 | − | 0.507106i | ||||
\(223\) | − | 51.5172i | − | 0.231019i | −0.993306 | − | 0.115509i | \(-0.963150\pi\) | ||
0.993306 | − | 0.115509i | \(-0.0368500\pi\) | |||||||
\(224\) | 188.184 | + | 121.503i | 0.840106 | + | 0.542422i | ||||
\(225\) | −108.708 | −0.483148 | ||||||||
\(226\) | 97.7394 | − | 49.7929i | 0.432475 | − | 0.220323i | ||||
\(227\) | 158.323 | − | 91.4080i | 0.697459 | − | 0.402678i | −0.108941 | − | 0.994048i | \(-0.534746\pi\) |
0.806400 | + | 0.591370i | \(0.201413\pi\) | |||||||
\(228\) | −108.021 | + | 148.638i | −0.473775 | + | 0.651923i | ||||
\(229\) | 104.460 | − | 180.930i | 0.456157 | − | 0.790088i | −0.542597 | − | 0.839993i | \(-0.682559\pi\) |
0.998754 | + | 0.0499057i | \(0.0158921\pi\) | |||||||
\(230\) | −10.0693 | + | 15.5032i | −0.0437794 | + | 0.0674051i | ||||
\(231\) | 39.4780 | − | 122.734i | 0.170900 | − | 0.531318i | ||||
\(232\) | −15.4972 | + | 97.7257i | −0.0667982 | + | 0.421232i | ||||
\(233\) | −135.483 | + | 234.663i | −0.581470 | + | 1.00714i | 0.413835 | + | 0.910352i | \(0.364189\pi\) |
−0.995305 | + | 0.0967843i | \(0.969144\pi\) | |||||||
\(234\) | −4.55263 | + | 86.7645i | −0.0194557 | + | 0.370789i | ||||
\(235\) | 88.8035 | − | 51.2707i | 0.377887 | − | 0.218173i | ||||
\(236\) | 26.3446 | − | 250.349i | 0.111630 | − | 1.06080i | ||||
\(237\) | −10.7449 | −0.0453373 | ||||||||
\(238\) | 345.175 | + | 131.355i | 1.45031 | + | 0.551914i | ||||
\(239\) | 239.578i | 1.00242i | 0.865327 | + | 0.501208i | \(0.167111\pi\) | ||||
−0.865327 | + | 0.501208i | \(0.832889\pi\) | |||||||
\(240\) | −64.5442 | + | 20.9537i | −0.268934 | + | 0.0873070i | ||||
\(241\) | −209.909 | − | 363.574i | −0.870993 | − | 1.50860i | −0.860970 | − | 0.508655i | \(-0.830143\pi\) |
−0.0100232 | − | 0.999950i | \(-0.503191\pi\) | |||||||
\(242\) | −2.64902 | + | 50.4855i | −0.0109464 | + | 0.208618i | ||||
\(243\) | 208.646 | + | 120.462i | 0.858626 | + | 0.495728i | ||||
\(244\) | −61.3719 | − | 137.890i | −0.251524 | − | 0.565125i | ||||
\(245\) | −10.8901 | + | 109.857i | −0.0444493 | + | 0.448396i | ||||
\(246\) | −64.1498 | + | 98.7684i | −0.260772 | + | 0.401498i | ||||
\(247\) | 168.256 | + | 97.1425i | 0.681197 | + | 0.393289i | ||||
\(248\) | 146.540 | + | 381.967i | 0.590889 | + | 1.54019i | ||||
\(249\) | −35.3044 | − | 61.1489i | −0.141785 | − | 0.245578i | ||||
\(250\) | −180.368 | + | 91.8879i | −0.721473 | + | 0.367551i | ||||
\(251\) | − | 295.280i | − | 1.17641i | −0.808710 | − | 0.588207i | \(-0.799834\pi\) | ||
0.808710 | − | 0.588207i | \(-0.200166\pi\) | |||||||
\(252\) | −90.1462 | − | 123.340i | −0.357723 | − | 0.489444i | ||||
\(253\) | 40.1392 | 0.158653 | ||||||||
\(254\) | −185.690 | − | 364.493i | −0.731062 | − | 1.43501i | ||||
\(255\) | −96.8957 | + | 55.9428i | −0.379983 | + | 0.219383i | ||||
\(256\) | −207.184 | + | 150.368i | −0.809314 | + | 0.587377i | ||||
\(257\) | −67.7038 | + | 117.266i | −0.263439 | + | 0.456289i | −0.967153 | − | 0.254193i | \(-0.918190\pi\) |
0.703715 | + | 0.710483i | \(0.251523\pi\) | |||||||
\(258\) | −67.5870 | − | 43.8976i | −0.261965 | − | 0.170146i | ||||
\(259\) | 71.9277 | − | 223.618i | 0.277713 | − | 0.863390i | ||||
\(260\) | 29.1764 | + | 65.5535i | 0.112217 | + | 0.252129i | ||||
\(261\) | 33.7416 | − | 58.4422i | 0.129278 | − | 0.223916i | ||||
\(262\) | 191.468 | + | 10.0465i | 0.730794 | + | 0.0383455i | ||||
\(263\) | −153.117 | + | 88.4022i | −0.582194 | + | 0.336130i | −0.762005 | − | 0.647571i | \(-0.775785\pi\) |
0.179811 | + | 0.983701i | \(0.442451\pi\) | |||||||
\(264\) | 114.491 | + | 92.7492i | 0.433679 | + | 0.351323i | ||||
\(265\) | 35.6166 | 0.134402 | ||||||||
\(266\) | −337.257 | + | 54.4170i | −1.26788 | + | 0.204575i | ||||
\(267\) | 17.7075i | 0.0663204i | ||||||||
\(268\) | 13.6197 | − | 129.426i | 0.0508199 | − | 0.482933i | ||||
\(269\) | 68.4609 | + | 118.578i | 0.254501 | + | 0.440809i | 0.964760 | − | 0.263132i | \(-0.0847553\pi\) |
−0.710259 | + | 0.703941i | \(0.751422\pi\) | |||||||
\(270\) | 122.456 | + | 6.42539i | 0.453541 | + | 0.0237977i | ||||
\(271\) | −121.823 | − | 70.3348i | −0.449533 | − | 0.259538i | 0.258100 | − | 0.966118i | \(-0.416904\pi\) |
−0.707633 | + | 0.706580i | \(0.750237\pi\) | |||||||
\(272\) | −282.508 | + | 313.598i | −1.03863 | + | 1.15293i | ||||
\(273\) | 77.7637 | − | 70.4362i | 0.284849 | − | 0.258008i | ||||
\(274\) | −72.8731 | − | 47.3309i | −0.265960 | − | 0.172740i | ||||
\(275\) | 168.817 | + | 97.4667i | 0.613881 | + | 0.354424i | ||||
\(276\) | −18.1616 | + | 24.9907i | −0.0658030 | + | 0.0905460i | ||||
\(277\) | 178.855 | + | 309.785i | 0.645685 | + | 1.11836i | 0.984143 | + | 0.177377i | \(0.0567613\pi\) |
−0.338458 | + | 0.940981i | \(0.609905\pi\) | |||||||
\(278\) | 27.1344 | + | 53.2625i | 0.0976056 | + | 0.191592i | ||||
\(279\) | − | 279.021i | − | 1.00007i | ||||||
\(280\) | −112.573 | − | 56.9670i | −0.402047 | − | 0.203454i | ||||
\(281\) | −238.770 | −0.849716 | −0.424858 | − | 0.905260i | \(-0.639676\pi\) | ||||
−0.424858 | + | 0.905260i | \(0.639676\pi\) | |||||||
\(282\) | 152.689 | − | 77.7869i | 0.541451 | − | 0.275840i | ||||
\(283\) | −142.685 | + | 82.3792i | −0.504187 | + | 0.291093i | −0.730441 | − | 0.682976i | \(-0.760685\pi\) |
0.226254 | + | 0.974068i | \(0.427352\pi\) | |||||||
\(284\) | 52.1034 | + | 37.8654i | 0.183463 | + | 0.133329i | ||||
\(285\) | 51.7462 | − | 89.6271i | 0.181566 | − | 0.314481i | ||||
\(286\) | 84.8621 | − | 130.658i | 0.296720 | − | 0.456846i | ||||
\(287\) | −214.044 | + | 46.1582i | −0.745797 | + | 0.160830i | ||||
\(288\) | 168.661 | − | 45.1355i | 0.585628 | − | 0.156721i | ||||
\(289\) | −203.459 | + | 352.401i | −0.704009 | + | 1.21938i | ||||
\(290\) | 2.92025 | − | 55.6545i | 0.0100698 | − | 0.191912i | ||||
\(291\) | 104.984 | − | 60.6127i | 0.360771 | − | 0.208291i | ||||
\(292\) | −75.8845 | − | 7.98546i | −0.259878 | − | 0.0273475i | ||||
\(293\) | 181.551 | 0.619628 | 0.309814 | − | 0.950797i | \(-0.399733\pi\) | ||||
0.309814 | + | 0.950797i | \(0.399733\pi\) | |||||||
\(294\) | −27.7937 | + | 182.381i | −0.0945362 | + | 0.620345i | ||||
\(295\) | 141.786i | 0.480629i | ||||||||
\(296\) | 208.600 | + | 168.986i | 0.704728 | + | 0.570899i | ||||
\(297\) | −133.128 | − | 230.584i | −0.448241 | − | 0.776377i | ||||
\(298\) | 27.8070 | − | 529.950i | 0.0933121 | − | 1.77835i | ||||
\(299\) | 28.2890 | + | 16.3326i | 0.0946120 | + | 0.0546242i | ||||
\(300\) | −137.067 | + | 61.0055i | −0.456890 | + | 0.203352i | ||||
\(301\) | −31.5860 | − | 146.470i | −0.104937 | − | 0.486610i | ||||
\(302\) | 215.711 | − | 332.120i | 0.714276 | − | 1.09974i | ||||
\(303\) | −247.601 | − | 142.953i | −0.817165 | − | 0.471790i | ||||
\(304\) | 81.2695 | − | 381.869i | 0.267334 | − | 1.25615i | ||||
\(305\) | 42.5055 | + | 73.6217i | 0.139362 | + | 0.241383i | ||||
\(306\) | 256.500 | − | 130.673i | 0.838235 | − | 0.427036i | ||||
\(307\) | 517.293i | 1.68499i | 0.538702 | + | 0.842496i | \(0.318915\pi\) | ||||
−0.538702 | + | 0.842496i | \(0.681085\pi\) | |||||||
\(308\) | 29.4062 | + | 272.363i | 0.0954746 | + | 0.884296i | ||||
\(309\) | −113.628 | −0.367730 | ||||||||
\(310\) | −104.600 | − | 205.321i | −0.337419 | − | 0.662325i | ||||
\(311\) | −333.107 | + | 192.319i | −1.07108 | + | 0.618389i | −0.928477 | − | 0.371390i | \(-0.878881\pi\) |
−0.142605 | + | 0.989780i | \(0.545548\pi\) | |||||||
\(312\) | 42.9507 | + | 111.954i | 0.137662 | + | 0.358826i | ||||
\(313\) | −18.7208 | + | 32.4253i | −0.0598108 | + | 0.103595i | −0.894380 | − | 0.447307i | \(-0.852383\pi\) |
0.834570 | + | 0.550903i | \(0.185716\pi\) | |||||||
\(314\) | 319.610 | + | 207.586i | 1.01786 | + | 0.661100i | ||||
\(315\) | 57.7657 | + | 63.7751i | 0.183383 | + | 0.202461i | ||||
\(316\) | 20.8583 | − | 9.28356i | 0.0660073 | − | 0.0293784i | ||||
\(317\) | 94.8086 | − | 164.213i | 0.299081 | − | 0.518023i | −0.676845 | − | 0.736125i | \(-0.736653\pi\) |
0.975926 | + | 0.218102i | \(0.0699867\pi\) | |||||||
\(318\) | 59.4388 | + | 3.11881i | 0.186914 | + | 0.00980759i | ||||
\(319\) | −104.797 | + | 60.5047i | −0.328518 | + | 0.189670i | ||||
\(320\) | 107.191 | − | 96.4415i | 0.334971 | − | 0.301380i | ||||
\(321\) | 381.360 | 1.18804 | ||||||||
\(322\) | −56.7033 | + | 9.14918i | −0.176097 | + | 0.0284136i | ||||
\(323\) | − | 643.713i | − | 1.99292i | ||||||
\(324\) | 8.45612 | + | 0.889852i | 0.0260991 | + | 0.00274646i | ||||
\(325\) | 79.3185 | + | 137.384i | 0.244057 | + | 0.422719i | ||||
\(326\) | 81.5031 | + | 4.27655i | 0.250010 | + | 0.0131183i | ||||
\(327\) | 37.0653 | + | 21.3997i | 0.113350 | + | 0.0654425i | ||||
\(328\) | 39.1937 | − | 247.156i | 0.119493 | − | 0.753526i | ||||
\(329\) | 303.294 | + | 97.5556i | 0.921865 | + | 0.296522i | ||||
\(330\) | −69.5995 | − | 45.2047i | −0.210907 | − | 0.136984i | ||||
\(331\) | 310.342 | + | 179.176i | 0.937588 | + | 0.541317i | 0.889203 | − | 0.457512i | \(-0.151259\pi\) |
0.0483844 | + | 0.998829i | \(0.484593\pi\) | |||||||
\(332\) | 121.366 | + | 88.2009i | 0.365560 | + | 0.265665i | ||||
\(333\) | −91.5464 | − | 158.563i | −0.274914 | − | 0.476165i | ||||
\(334\) | 154.963 | + | 304.180i | 0.463961 | + | 0.910717i | ||||
\(335\) | 73.3008i | 0.218808i | ||||||||
\(336\) | −182.879 | − | 104.927i | −0.544283 | − | 0.312283i | ||||
\(337\) | 264.378 | 0.784506 | 0.392253 | − | 0.919857i | \(-0.371696\pi\) | ||||
0.392253 | + | 0.919857i | \(0.371696\pi\) | |||||||
\(338\) | −188.197 | + | 95.8760i | −0.556795 | + | 0.283657i | ||||
\(339\) | −89.4159 | + | 51.6243i | −0.263764 | + | 0.152284i | ||||
\(340\) | 139.762 | − | 192.315i | 0.411064 | − | 0.565631i | ||||
\(341\) | −250.167 | + | 433.302i | −0.733627 | + | 1.27068i | ||||
\(342\) | −145.037 | + | 223.306i | −0.424084 | + | 0.652943i | ||||
\(343\) | −275.694 | + | 204.064i | −0.803772 | + | 0.594938i | ||||
\(344\) | 169.129 | + | 26.8202i | 0.491653 | + | 0.0779656i | ||||
\(345\) | 8.70014 | − | 15.0691i | 0.0252178 | − | 0.0436785i | ||||
\(346\) | −1.18484 | + | 22.5808i | −0.00342439 | + | 0.0652624i | ||||
\(347\) | 500.008 | − | 288.680i | 1.44095 | − | 0.831930i | 0.443033 | − | 0.896506i | \(-0.353903\pi\) |
0.997913 | + | 0.0645754i | \(0.0205693\pi\) | |||||||
\(348\) | 9.74691 | − | 92.6233i | 0.0280084 | − | 0.266159i | ||||
\(349\) | −432.899 | −1.24040 | −0.620199 | − | 0.784444i | \(-0.712948\pi\) | ||||
−0.620199 | + | 0.784444i | \(0.712948\pi\) | |||||||
\(350\) | −260.699 | − | 99.2084i | −0.744854 | − | 0.283453i | ||||
\(351\) | − | 216.679i | − | 0.617319i | ||||||
\(352\) | −302.388 | − | 81.1268i | −0.859056 | − | 0.230474i | ||||
\(353\) | −227.933 | − | 394.791i | −0.645701 | − | 1.11839i | −0.984139 | − | 0.177399i | \(-0.943232\pi\) |
0.338438 | − | 0.940989i | \(-0.390102\pi\) | |||||||
\(354\) | −12.4156 | + | 236.619i | −0.0350724 | + | 0.668415i | ||||
\(355\) | −31.4177 | − | 18.1390i | −0.0885006 | − | 0.0510958i | ||||
\(356\) | −15.2992 | − | 34.3742i | −0.0429753 | − | 0.0965569i | ||||
\(357\) | −330.931 | − | 106.445i | −0.926978 | − | 0.298166i | ||||
\(358\) | −162.587 | + | 250.328i | −0.454155 | + | 0.699241i | ||||
\(359\) | −200.751 | − | 115.904i | −0.559196 | − | 0.322852i | 0.193627 | − | 0.981075i | \(-0.437975\pi\) |
−0.752823 | + | 0.658223i | \(0.771308\pi\) | |||||||
\(360\) | −91.8148 | + | 35.2245i | −0.255041 | + | 0.0978457i | ||||
\(361\) | 117.213 | + | 203.018i | 0.324689 | + | 0.562377i | ||||
\(362\) | −407.360 | + | 207.528i | −1.12530 | + | 0.573282i | ||||
\(363\) | − | 47.5853i | − | 0.131089i | ||||||
\(364\) | −90.1001 | + | 203.920i | −0.247528 | + | 0.560219i | ||||
\(365\) | 42.9774 | 0.117746 | ||||||||
\(366\) | 64.4885 | + | 126.586i | 0.176198 | + | 0.345862i | ||||
\(367\) | 214.564 | − | 123.879i | 0.584644 | − | 0.337544i | −0.178333 | − | 0.983970i | \(-0.557070\pi\) |
0.762977 | + | 0.646426i | \(0.223737\pi\) | |||||||
\(368\) | 13.6639 | − | 64.2040i | 0.0371302 | − | 0.174467i | ||||
\(369\) | −85.3353 | + | 147.805i | −0.231261 | + | 0.400556i | ||||
\(370\) | −126.808 | − | 82.3615i | −0.342724 | − | 0.222599i | ||||
\(371\) | 74.2896 | + | 82.0180i | 0.200241 | + | 0.221073i | ||||
\(372\) | −156.582 | − | 351.809i | −0.420920 | − | 0.945723i | ||||
\(373\) | 180.884 | − | 313.300i | 0.484943 | − | 0.839946i | −0.514907 | − | 0.857246i | \(-0.672174\pi\) |
0.999850 | + | 0.0172999i | \(0.00550702\pi\) | |||||||
\(374\) | −515.488 | − | 27.0482i | −1.37831 | − | 0.0723214i | ||||
\(375\) | 165.008 | − | 95.2675i | 0.440022 | − | 0.254047i | ||||
\(376\) | −229.196 | + | 282.924i | −0.609564 | + | 0.752457i | ||||
\(377\) | −98.4776 | −0.261214 | ||||||||
\(378\) | 240.624 | + | 295.394i | 0.636571 | + | 0.781465i | ||||
\(379\) | 30.8585i | 0.0814208i | 0.999171 | + | 0.0407104i | \(0.0129621\pi\) | ||||
−0.999171 | + | 0.0407104i | \(0.987038\pi\) | |||||||
\(380\) | −23.0136 | + | 218.694i | −0.0605621 | + | 0.575512i | ||||
\(381\) | 192.519 | + | 333.453i | 0.505300 | + | 0.875206i | ||||
\(382\) | −123.947 | − | 6.50363i | −0.324469 | − | 0.0170252i | ||||
\(383\) | 481.755 | + | 278.141i | 1.25784 | + | 0.726217i | 0.972655 | − | 0.232254i | \(-0.0746100\pi\) |
0.285190 | + | 0.958471i | \(0.407943\pi\) | |||||||
\(384\) | 187.330 | − | 151.560i | 0.487839 | − | 0.394687i | ||||
\(385\) | −32.5265 | − | 150.831i | −0.0844844 | − | 0.391768i | ||||
\(386\) | 361.844 | + | 235.016i | 0.937419 | + | 0.608851i | ||||
\(387\) | −101.143 | − | 58.3948i | −0.261351 | − | 0.150891i | ||||
\(388\) | −151.429 | + | 208.368i | −0.390280 | + | 0.537032i | ||||
\(389\) | −192.571 | − | 333.542i | −0.495041 | − | 0.857436i | 0.504943 | − | 0.863153i | \(-0.331514\pi\) |
−0.999984 | + | 0.00571703i | \(0.998180\pi\) | |||||||
\(390\) | −30.6580 | − | 60.1791i | −0.0786102 | − | 0.154305i | ||||
\(391\) | − | 108.228i | − | 0.276798i | ||||||
\(392\) | −103.623 | − | 378.056i | −0.264344 | − | 0.964429i | ||||
\(393\) | −180.469 | −0.459209 | ||||||||
\(394\) | 47.6240 | − | 24.2619i | 0.120873 | − | 0.0615783i | ||||
\(395\) | −11.1365 | + | 6.42969i | −0.0281938 | + | 0.0162777i | ||||
\(396\) | 172.730 | + | 125.529i | 0.436188 | + | 0.316993i | ||||
\(397\) | 267.010 | − | 462.474i | 0.672568 | − | 1.16492i | −0.304605 | − | 0.952479i | \(-0.598524\pi\) |
0.977173 | − | 0.212444i | \(-0.0681423\pi\) | |||||||
\(398\) | 62.7200 | − | 96.5670i | 0.157588 | − | 0.242631i | ||||
\(399\) | 314.326 | − | 67.7841i | 0.787785 | − | 0.169885i | ||||
\(400\) | 213.369 | − | 236.850i | 0.533423 | − | 0.592126i | ||||
\(401\) | 90.6091 | − | 156.940i | 0.225958 | − | 0.391371i | −0.730648 | − | 0.682754i | \(-0.760782\pi\) |
0.956606 | + | 0.291383i | \(0.0941155\pi\) | |||||||
\(402\) | −6.41867 | + | 122.328i | −0.0159668 | + | 0.304298i | ||||
\(403\) | −352.621 | + | 203.586i | −0.874991 | + | 0.505176i | ||||
\(404\) | 604.158 | + | 63.5767i | 1.49544 | + | 0.157368i | ||||
\(405\) | −4.78915 | −0.0118250 | ||||||||
\(406\) | 134.252 | − | 109.360i | 0.330671 | − | 0.269360i | ||||
\(407\) | 328.318i | 0.806678i | ||||||||
\(408\) | 250.082 | − | 308.705i | 0.612945 | − | 0.756631i | ||||
\(409\) | 228.058 | + | 395.008i | 0.557599 | + | 0.965790i | 0.997696 | + | 0.0678399i | \(0.0216107\pi\) |
−0.440097 | + | 0.897950i | \(0.645056\pi\) | |||||||
\(410\) | −7.38556 | + | 140.755i | −0.0180136 | + | 0.343305i | ||||
\(411\) | 70.8327 | + | 40.8953i | 0.172342 | + | 0.0995019i | ||||
\(412\) | 220.578 | − | 98.1743i | 0.535383 | − | 0.238287i | ||||
\(413\) | −326.504 | + | 295.738i | −0.790567 | + | 0.716073i | ||||
\(414\) | −24.3852 | + | 37.5447i | −0.0589014 | + | 0.0906877i | ||||
\(415\) | −73.1821 | − | 42.2517i | −0.176342 | − | 0.101811i | ||||
\(416\) | −180.104 | − | 180.218i | −0.432942 | − | 0.433216i | ||||
\(417\) | −28.1324 | − | 48.7267i | −0.0674637 | − | 0.116851i | ||||
\(418\) | 425.447 | − | 216.742i | 1.01782 | − | 0.518522i | ||||
\(419\) | − | 504.900i | − | 1.20501i | −0.798115 | − | 0.602506i | \(-0.794169\pi\) | ||
0.798115 | − | 0.602506i | \(-0.205831\pi\) | |||||||
\(420\) | 108.625 | + | 47.9949i | 0.258630 | + | 0.114274i | ||||
\(421\) | 699.886 | 1.66244 | 0.831218 | − | 0.555946i | \(-0.187644\pi\) | ||||
0.831218 | + | 0.555946i | \(0.187644\pi\) | |||||||
\(422\) | 199.497 | + | 391.596i | 0.472742 | + | 0.927954i | ||||
\(423\) | 215.059 | − | 124.165i | 0.508414 | − | 0.293533i | ||||
\(424\) | −118.078 | + | 45.3004i | −0.278487 | + | 0.106841i | ||||
\(425\) | 262.802 | − | 455.186i | 0.618357 | − | 1.07103i | ||||
\(426\) | −50.8430 | − | 33.0224i | −0.119350 | − | 0.0775174i | ||||
\(427\) | −80.8776 | + | 251.443i | −0.189409 | + | 0.588859i | ||||
\(428\) | −740.305 | + | 329.493i | −1.72968 | + | 0.769844i | ||||
\(429\) | −73.3233 | + | 127.000i | −0.170917 | + | 0.296037i | ||||
\(430\) | −96.3183 | − | 5.05392i | −0.223996 | − | 0.0117533i | ||||
\(431\) | −353.857 | + | 204.300i | −0.821015 | + | 0.474013i | −0.850766 | − | 0.525544i | \(-0.823862\pi\) |
0.0297514 | + | 0.999557i | \(0.490528\pi\) | |||||||
\(432\) | −414.146 | + | 134.449i | −0.958671 | + | 0.311224i | ||||
\(433\) | −279.276 | −0.644980 | −0.322490 | − | 0.946573i | \(-0.604520\pi\) | ||||
−0.322490 | + | 0.946573i | \(0.604520\pi\) | |||||||
\(434\) | 254.637 | − | 669.133i | 0.586722 | − | 1.54178i | ||||
\(435\) | 52.4574i | 0.120592i | ||||||||
\(436\) | −90.4412 | − | 9.51729i | −0.207434 | − | 0.0218286i | ||||
\(437\) | 50.0547 | + | 86.6973i | 0.114542 | + | 0.198392i | ||||
\(438\) | 71.7228 | + | 3.76337i | 0.163751 | + | 0.00859217i | ||||
\(439\) | −350.260 | − | 202.223i | −0.797859 | − | 0.460644i | 0.0448633 | − | 0.998993i | \(-0.485715\pi\) |
−0.842722 | + | 0.538349i | \(0.819048\pi\) | |||||||
\(440\) | 174.164 | + | 27.6187i | 0.395828 | + | 0.0627698i | ||||
\(441\) | −26.3730 | + | 266.046i | −0.0598026 | + | 0.603279i | ||||
\(442\) | −352.296 | − | 228.815i | −0.797050 | − | 0.517682i | ||||
\(443\) | −185.372 | − | 107.024i | −0.418446 | − | 0.241590i | 0.275966 | − | 0.961167i | \(-0.411002\pi\) |
−0.694412 | + | 0.719577i | \(0.744336\pi\) | |||||||
\(444\) | −204.411 | − | 148.553i | −0.460386 | − | 0.334579i | ||||
\(445\) | 10.5961 | + | 18.3529i | 0.0238114 | + | 0.0412425i | ||||
\(446\) | −46.7708 | − | 91.8072i | −0.104867 | − | 0.205846i | ||||
\(447\) | 499.507i | 1.11746i | ||||||||
\(448\) | 445.665 | + | 45.6799i | 0.994788 | + | 0.101964i | ||||
\(449\) | −209.074 | −0.465643 | −0.232822 | − | 0.972519i | \(-0.574796\pi\) | ||||
−0.232822 | + | 0.972519i | \(0.574796\pi\) | |||||||
\(450\) | −193.726 | + | 98.6929i | −0.430502 | + | 0.219318i | ||||
\(451\) | 265.041 | − | 153.021i | 0.587674 | − | 0.339294i | ||||
\(452\) | 128.973 | − | 177.469i | 0.285338 | − | 0.392630i | ||||
\(453\) | −186.381 | + | 322.821i | −0.411437 | + | 0.712630i | ||||
\(454\) | 199.157 | − | 306.632i | 0.438671 | − | 0.675401i | ||||
\(455\) | 38.4494 | − | 119.537i | 0.0845042 | − | 0.262718i | ||||
\(456\) | −57.5565 | + | 362.953i | −0.126220 | + | 0.795949i | ||||
\(457\) | −42.9086 | + | 74.3198i | −0.0938919 | + | 0.162625i | −0.909146 | − | 0.416478i | \(-0.863264\pi\) |
0.815254 | + | 0.579104i | \(0.196597\pi\) | |||||||
\(458\) | 21.8944 | − | 417.266i | 0.0478043 | − | 0.911061i | ||||
\(459\) | −621.728 | + | 358.955i | −1.35453 | + | 0.782037i | ||||
\(460\) | −3.86930 | + | 36.7693i | −0.00841152 | + | 0.0799332i | ||||
\(461\) | −39.7705 | −0.0862700 | −0.0431350 | − | 0.999069i | \(-0.513735\pi\) | ||||
−0.0431350 | + | 0.999069i | \(0.513735\pi\) | |||||||
\(462\) | −41.0741 | − | 254.562i | −0.0889049 | − | 0.551000i | ||||
\(463\) | − | 192.393i | − | 0.415535i | −0.978178 | − | 0.207768i | \(-0.933380\pi\) | ||
0.978178 | − | 0.207768i | \(-0.0666198\pi\) | |||||||
\(464\) | 61.1050 | + | 188.224i | 0.131692 | + | 0.405654i | ||||
\(465\) | 108.447 | + | 187.836i | 0.233220 | + | 0.403948i | ||||
\(466\) | −28.3966 | + | 541.186i | −0.0609369 | + | 1.16134i | ||||
\(467\) | −416.348 | − | 240.379i | −0.891538 | − | 0.514729i | −0.0170924 | − | 0.999854i | \(-0.505441\pi\) |
−0.874445 | + | 0.485124i | \(0.838774\pi\) | |||||||
\(468\) | 70.6577 | + | 158.754i | 0.150978 | + | 0.339217i | ||||
\(469\) | −168.797 | + | 152.892i | −0.359908 | + | 0.325995i | ||||
\(470\) | 111.707 | − | 171.990i | 0.237674 | − | 0.365936i | ||||
\(471\) | −310.661 | − | 179.360i | −0.659577 | − | 0.380807i | ||||
\(472\) | −180.336 | − | 470.056i | −0.382067 | − | 0.995882i | ||||
\(473\) | 104.712 | + | 181.367i | 0.221379 | + | 0.383440i | ||||
\(474\) | −19.1482 | + | 9.75499i | −0.0403971 | + | 0.0205802i | ||||
\(475\) | 486.175i | 1.02353i | ||||||||
\(476\) | 734.379 | − | 79.2885i | 1.54281 | − | 0.166573i | ||||
\(477\) | 86.2543 | 0.180827 | ||||||||
\(478\) | 217.505 | + | 426.944i | 0.455031 | + | 0.893189i | ||||
\(479\) | 386.980 | − | 223.423i | 0.807891 | − | 0.466436i | −0.0383320 | − | 0.999265i | \(-0.512204\pi\) |
0.846223 | + | 0.532829i | \(0.178871\pi\) | |||||||
\(480\) | −95.9991 | + | 95.9386i | −0.199998 | + | 0.199872i | ||||
\(481\) | −133.593 | + | 231.389i | −0.277740 | + | 0.481059i | ||||
\(482\) | −704.151 | − | 457.344i | −1.46089 | − | 0.948846i | ||||
\(483\) | 52.8480 | − | 11.3966i | 0.109416 | − | 0.0235954i | ||||
\(484\) | 41.1134 | + | 92.3736i | 0.0849451 | + | 0.190855i | ||||
\(485\) | 72.5403 | − | 125.644i | 0.149568 | − | 0.259059i | ||||
\(486\) | 481.185 | + | 25.2483i | 0.990094 | + | 0.0519512i | ||||
\(487\) | 574.307 | − | 331.577i | 1.17928 | − | 0.680855i | 0.223429 | − | 0.974720i | \(-0.428275\pi\) |
0.955847 | + | 0.293865i | \(0.0949416\pi\) | |||||||
\(488\) | −234.556 | − | 190.013i | −0.480647 | − | 0.389371i | ||||
\(489\) | −76.8211 | −0.157098 | ||||||||
\(490\) | 80.3290 | + | 205.660i | 0.163937 | + | 0.419714i | ||||
\(491\) | 652.191i | 1.32829i | 0.747603 | + | 0.664146i | \(0.231205\pi\) | ||||
−0.747603 | + | 0.664146i | \(0.768795\pi\) | |||||||
\(492\) | −24.6507 | + | 234.252i | −0.0501031 | + | 0.476122i | ||||
\(493\) | 163.140 | + | 282.567i | 0.330913 | + | 0.573158i | ||||
\(494\) | 388.036 | + | 20.3607i | 0.785498 | + | 0.0412159i | ||||
\(495\) | −104.154 | − | 60.1335i | −0.210413 | − | 0.121482i | ||||
\(496\) | 607.921 | + | 547.653i | 1.22565 | + | 1.10414i | ||||
\(497\) | −23.7609 | − | 110.183i | −0.0478086 | − | 0.221697i | ||||
\(498\) | −118.430 | − | 76.9200i | −0.237811 | − | 0.154458i | ||||
\(499\) | −435.198 | − | 251.262i | −0.872141 | − | 0.503531i | −0.00408169 | − | 0.999992i | \(-0.501299\pi\) |
−0.868059 | + | 0.496461i | \(0.834633\pi\) | |||||||
\(500\) | −238.007 | + | 327.501i | −0.476014 | + | 0.655003i | ||||
\(501\) | −160.663 | − | 278.276i | −0.320684 | − | 0.555441i | ||||
\(502\) | −268.076 | − | 526.210i | −0.534015 | − | 1.04823i | ||||
\(503\) | − | 241.960i | − | 0.481033i | −0.970645 | − | 0.240517i | \(-0.922683\pi\) | ||
0.970645 | − | 0.240517i | \(-0.0773169\pi\) | |||||||
\(504\) | −272.623 | − | 137.960i | −0.540919 | − | 0.273729i | ||||
\(505\) | −342.167 | −0.677558 | ||||||||
\(506\) | 71.5308 | − | 36.4411i | 0.141365 | − | 0.0720179i | ||||
\(507\) | 172.170 | − | 99.4023i | 0.339586 | − | 0.196060i | ||||
\(508\) | −661.824 | − | 480.971i | −1.30280 | − | 0.946793i | ||||
\(509\) | 293.720 | − | 508.738i | 0.577053 | − | 0.999485i | −0.418762 | − | 0.908096i | \(-0.637536\pi\) |
0.995815 | − | 0.0913892i | \(-0.0291307\pi\) | |||||||
\(510\) | −121.886 | + | 187.663i | −0.238993 | + | 0.367966i | ||||
\(511\) | 89.6428 | + | 98.9684i | 0.175426 | + | 0.193676i | ||||
\(512\) | −232.702 | + | 456.063i | −0.454496 | + | 0.890749i | ||||
\(513\) | 332.028 | − | 575.090i | 0.647228 | − | 1.12103i | ||||
\(514\) | −14.1904 | + | 270.443i | −0.0276078 | + | 0.526154i | ||||
\(515\) | −117.770 | + | 67.9944i | −0.228679 | + | 0.132028i | ||||
\(516\) | −160.298 | − | 16.8685i | −0.310655 | − | 0.0326908i | ||||
\(517\) | −445.298 | −0.861311 | ||||||||
\(518\) | −74.8357 | − | 463.804i | −0.144470 | − | 0.895375i | ||||
\(519\) | − | 21.2836i | − | 0.0410089i | ||||||
\(520\) | 111.508 | + | 90.3326i | 0.214439 | + | 0.173716i | ||||
\(521\) | 21.2895 | + | 36.8746i | 0.0408628 | + | 0.0707765i | 0.885733 | − | 0.464194i | \(-0.153656\pi\) |
−0.844871 | + | 0.534971i | \(0.820323\pi\) | |||||||
\(522\) | 7.07210 | − | 134.781i | 0.0135481 | − | 0.258201i | ||||
\(523\) | 34.4346 | + | 19.8808i | 0.0658406 | + | 0.0380131i | 0.532559 | − | 0.846393i | \(-0.321230\pi\) |
−0.466718 | + | 0.884406i | \(0.654564\pi\) | |||||||
\(524\) | 350.330 | − | 155.924i | 0.668569 | − | 0.297565i | ||||
\(525\) | 249.941 | + | 80.3947i | 0.476079 | + | 0.153133i | ||||
\(526\) | −192.608 | + | 296.549i | −0.366175 | + | 0.563782i | ||||
\(527\) | 1168.32 | + | 674.530i | 2.21693 | + | 1.27994i | ||||
\(528\) | 288.236 | + | 61.3424i | 0.545901 | + | 0.116179i | ||||
\(529\) | −256.084 | − | 443.551i | −0.484091 | − | 0.838471i | ||||
\(530\) | 63.4713 | − | 32.3352i | 0.119757 | − | 0.0610098i | ||||
\(531\) | 343.369i | 0.646645i | ||||||||
\(532\) | −551.612 | + | 403.160i | −1.03686 | + | 0.757819i | ||||
\(533\) | 249.058 | 0.467276 | ||||||||
\(534\) | 16.0761 | + | 31.5561i | 0.0301051 | + | 0.0590938i | ||||
\(535\) | 395.259 | − | 228.203i | 0.738803 | − | 0.426548i | ||||
\(536\) | −93.2305 | − | 243.011i | −0.173937 | − | 0.453379i | ||||
\(537\) | 140.480 | − | 243.319i | 0.261602 | − | 0.453108i | ||||
\(538\) | 229.655 | + | 149.160i | 0.426868 | + | 0.277250i | ||||
\(539\) | 279.489 | − | 389.507i | 0.518533 | − | 0.722647i | ||||
\(540\) | 224.059 | − | 99.7234i | 0.414923 | − | 0.184673i | ||||
\(541\) | 97.3819 | − | 168.670i | 0.180003 | − | 0.311775i | −0.761878 | − | 0.647721i | \(-0.775722\pi\) |
0.941881 | + | 0.335945i | \(0.109056\pi\) | |||||||
\(542\) | −280.953 | − | 14.7419i | −0.518363 | − | 0.0271990i | ||||
\(543\) | 372.669 | − | 215.161i | 0.686316 | − | 0.396245i | ||||
\(544\) | −218.744 | + | 815.334i | −0.402103 | + | 1.49878i | ||||
\(545\) | 51.2216 | 0.0939846 | ||||||||
\(546\) | 74.6336 | − | 196.121i | 0.136692 | − | 0.359197i | ||||
\(547\) | − | 654.589i | − | 1.19669i | −0.801239 | − | 0.598345i | \(-0.795825\pi\) | ||
0.801239 | − | 0.598345i | \(-0.204175\pi\) | |||||||
\(548\) | −172.835 | − | 18.1878i | −0.315393 | − | 0.0331893i | ||||
\(549\) | 102.937 | + | 178.293i | 0.187500 | + | 0.324759i | ||||
\(550\) | 389.331 | + | 20.4286i | 0.707875 | + | 0.0371429i | ||||
\(551\) | −261.370 | − | 150.902i | −0.474356 | − | 0.273870i | ||||
\(552\) | −9.67702 | + | 61.0236i | −0.0175308 | + | 0.110550i | ||||
\(553\) | −38.0350 | − | 12.2341i | −0.0687794 | − | 0.0221232i | ||||
\(554\) | 599.976 | + | 389.683i | 1.08299 | + | 0.703399i | ||||
\(555\) | 123.257 | + | 71.1627i | 0.222086 | + | 0.128221i | ||||
\(556\) | 96.7107 | + | 70.2831i | 0.173940 | + | 0.126408i | ||||
\(557\) | 57.3202 | + | 99.2814i | 0.102909 | + | 0.178243i | 0.912882 | − | 0.408224i | \(-0.133852\pi\) |
−0.809973 | + | 0.586467i | \(0.800518\pi\) | |||||||
\(558\) | −253.314 | − | 497.235i | −0.453968 | − | 0.891101i | ||||
\(559\) | 170.430i | 0.304884i | ||||||||
\(560\) | −252.332 | + | 0.682372i | −0.450593 | + | 0.00121852i | ||||
\(561\) | 485.876 | 0.866089 | ||||||||
\(562\) | −425.505 | + | 216.772i | −0.757126 | + | 0.385715i | ||||
\(563\) | −723.398 | + | 417.654i | −1.28490 | + | 0.741836i | −0.977740 | − | 0.209822i | \(-0.932711\pi\) |
−0.307158 | + | 0.951658i | \(0.599378\pi\) | |||||||
\(564\) | 201.483 | − | 277.243i | 0.357238 | − | 0.491566i | ||||
\(565\) | −61.7832 | + | 107.012i | −0.109351 | + | 0.189401i | ||||
\(566\) | −179.485 | + | 276.345i | −0.317111 | + | 0.488241i | ||||
\(567\) | −9.98926 | − | 11.0284i | −0.0176177 | − | 0.0194505i | ||||
\(568\) | 127.229 | + | 20.1757i | 0.223994 | + | 0.0355206i | ||||
\(569\) | −208.648 | + | 361.389i | −0.366692 | + | 0.635130i | −0.989046 | − | 0.147606i | \(-0.952843\pi\) |
0.622354 | + | 0.782736i | \(0.286177\pi\) | |||||||
\(570\) | 10.8458 | − | 206.701i | 0.0190277 | − | 0.362633i | ||||
\(571\) | 279.910 | − | 161.606i | 0.490211 | − | 0.283023i | −0.234451 | − | 0.972128i | \(-0.575329\pi\) |
0.724662 | + | 0.689105i | \(0.241996\pi\) | |||||||
\(572\) | 32.6098 | − | 309.885i | 0.0570101 | − | 0.541758i | ||||
\(573\) | 116.827 | 0.203886 | ||||||||
\(574\) | −339.535 | + | 276.581i | −0.591525 | + | 0.481848i | ||||
\(575\) | 81.7411i | 0.142158i | ||||||||
\(576\) | 259.588 | − | 233.557i | 0.450674 | − | 0.405480i | ||||
\(577\) | −97.2563 | − | 168.453i | −0.168555 | − | 0.291946i | 0.769357 | − | 0.638819i | \(-0.220577\pi\) |
−0.937912 | + | 0.346873i | \(0.887243\pi\) | |||||||
\(578\) | −42.6441 | + | 812.716i | −0.0737786 | + | 1.40608i | ||||
\(579\) | −351.712 | − | 203.061i | −0.607448 | − | 0.350710i | ||||
\(580\) | −45.3229 | − | 101.831i | −0.0781429 | − | 0.175572i | ||||
\(581\) | −55.3469 | − | 256.653i | −0.0952614 | − | 0.441743i | ||||
\(582\) | 132.061 | − | 203.328i | 0.226909 | − | 0.349361i | ||||
\(583\) | −133.948 | − | 77.3347i | −0.229756 | − | 0.132650i | ||||
\(584\) | −142.481 | + | 54.6625i | −0.243975 | + | 0.0936002i | ||||
\(585\) | −48.9367 | − | 84.7609i | −0.0836525 | − | 0.144890i | ||||
\(586\) | 323.537 | − | 164.824i | 0.552110 | − | 0.281270i | ||||
\(587\) | 89.0247i | 0.151661i | 0.997121 | + | 0.0758303i | \(0.0241607\pi\) | ||||
−0.997121 | + | 0.0758303i | \(0.975839\pi\) | |||||||
\(588\) | 116.048 | + | 350.249i | 0.197361 | + | 0.595662i | ||||
\(589\) | −1247.86 | −2.11861 | ||||||||
\(590\) | 128.723 | + | 252.672i | 0.218174 | + | 0.428258i | ||||
\(591\) | −43.5684 | + | 25.1542i | −0.0737198 | + | 0.0425621i | ||||
\(592\) | 525.156 | + | 111.764i | 0.887088 | + | 0.188790i | ||||
\(593\) | −483.814 | + | 837.990i | −0.815875 | + | 1.41314i | 0.0928226 | + | 0.995683i | \(0.470411\pi\) |
−0.908698 | + | 0.417455i | \(0.862922\pi\) | |||||||
\(594\) | −446.583 | − | 290.054i | −0.751823 | − | 0.488307i | ||||
\(595\) | −406.688 | + | 87.7018i | −0.683510 | + | 0.147398i | ||||
\(596\) | −431.571 | − | 969.652i | −0.724112 | − | 1.62693i | ||||
\(597\) | −54.1919 | + | 93.8632i | −0.0907738 | + | 0.157225i | ||||
\(598\) | 65.2408 | + | 3.42325i | 0.109098 | + | 0.00572451i | ||||
\(599\) | −359.686 | + | 207.665i | −0.600478 | + | 0.346686i | −0.769230 | − | 0.638973i | \(-0.779360\pi\) |
0.168752 | + | 0.985659i | \(0.446026\pi\) | |||||||
\(600\) | −188.878 | + | 233.155i | −0.314797 | + | 0.388592i | ||||
\(601\) | 151.370 | 0.251864 | 0.125932 | − | 0.992039i | \(-0.459808\pi\) | ||||
0.125932 | + | 0.992039i | \(0.459808\pi\) | |||||||
\(602\) | −189.264 | − | 232.343i | −0.314392 | − | 0.385952i | ||||
\(603\) | 177.516i | 0.294387i | ||||||||
\(604\) | 82.8910 | − | 787.699i | 0.137237 | − | 1.30414i | ||||
\(605\) | −28.4747 | − | 49.3196i | −0.0470656 | − | 0.0815200i | ||||
\(606\) | −571.025 | − | 29.9622i | −0.942285 | − | 0.0494427i | ||||
\(607\) | 559.020 | + | 322.750i | 0.920955 | + | 0.531714i | 0.883940 | − | 0.467601i | \(-0.154882\pi\) |
0.0370156 | + | 0.999315i | \(0.488215\pi\) | |||||||
\(608\) | −201.859 | − | 754.300i | −0.332005 | − | 1.24062i | ||||
\(609\) | −120.799 | + | 109.416i | −0.198356 | + | 0.179666i | ||||
\(610\) | 142.587 | + | 92.6097i | 0.233749 | + | 0.151819i | ||||
\(611\) | −313.834 | − | 181.192i | −0.513640 | − | 0.296550i | ||||
\(612\) | 338.467 | − | 465.737i | 0.553051 | − | 0.761008i | ||||
\(613\) | 321.584 | + | 556.999i | 0.524606 | + | 0.908645i | 0.999590 | + | 0.0286501i | \(0.00912087\pi\) |
−0.474983 | + | 0.879995i | \(0.657546\pi\) | |||||||
\(614\) | 469.634 | + | 921.852i | 0.764876 | + | 1.50139i | ||||
\(615\) | − | 132.669i | − | 0.215722i | ||||||
\(616\) | 299.674 | + | 458.674i | 0.486484 | + | 0.744600i | ||||
\(617\) | 180.290 | 0.292204 | 0.146102 | − | 0.989270i | \(-0.453327\pi\) | ||||
0.146102 | + | 0.989270i | \(0.453327\pi\) | |||||||
\(618\) | −202.494 | + | 103.160i | −0.327660 | + | 0.166925i | ||||
\(619\) | −249.974 | + | 144.322i | −0.403835 | + | 0.233154i | −0.688137 | − | 0.725580i | \(-0.741571\pi\) |
0.284302 | + | 0.958735i | \(0.408238\pi\) | |||||||
\(620\) | −372.809 | − | 270.933i | −0.601304 | − | 0.436989i | ||||
\(621\) | 55.8242 | − | 96.6903i | 0.0898940 | − | 0.155701i | ||||
\(622\) | −419.019 | + | 645.143i | −0.673664 | + | 1.03721i | ||||
\(623\) | −20.1617 | + | 62.6813i | −0.0323623 | + | 0.100612i | ||||
\(624\) | 178.180 | + | 160.516i | 0.285545 | + | 0.257237i | ||||
\(625\) | −135.037 | + | 233.891i | −0.216059 | + | 0.374225i | ||||
\(626\) | −3.92380 | + | 74.7802i | −0.00626804 | + | 0.119457i | ||||
\(627\) | −389.216 | + | 224.714i | −0.620760 | + | 0.358396i | ||||
\(628\) | 758.027 | + | 79.7686i | 1.20705 | + | 0.127020i | ||||
\(629\) | 885.250 | 1.40739 | ||||||||
\(630\) | 160.842 | + | 61.2081i | 0.255305 | + | 0.0971557i | ||||
\(631\) | − | 1014.52i | − | 1.60780i | −0.594765 | − | 0.803900i | \(-0.702755\pi\) | ||
0.594765 | − | 0.803900i | \(-0.297245\pi\) | |||||||
\(632\) | 28.7427 | − | 35.4805i | 0.0454790 | − | 0.0561401i | ||||
\(633\) | −206.835 | − | 358.248i | −0.326753 | − | 0.565953i | ||||
\(634\) | 19.8715 | − | 378.713i | 0.0313430 | − | 0.597340i | ||||
\(635\) | 399.072 | + | 230.404i | 0.628460 | + | 0.362841i | ||||
\(636\) | 108.756 | − | 48.4046i | 0.170999 | − | 0.0761079i | ||||
\(637\) | 355.467 | − | 160.789i | 0.558033 | − | 0.252417i | ||||
\(638\) | −131.826 | + | 202.966i | −0.206623 | + | 0.318128i | ||||
\(639\) | −76.0856 | − | 43.9281i | −0.119070 | − | 0.0687450i | ||||
\(640\) | 103.465 | − | 269.181i | 0.161664 | − | 0.420595i | ||||
\(641\) | 428.972 | + | 743.001i | 0.669222 | + | 1.15913i | 0.978122 | + | 0.208033i | \(0.0667060\pi\) |
−0.308899 | + | 0.951095i | \(0.599961\pi\) | |||||||
\(642\) | 679.611 | − | 346.225i | 1.05858 | − | 0.539292i | ||||
\(643\) | − | 925.548i | − | 1.43942i | −0.694274 | − | 0.719711i | \(-0.744274\pi\) | ||
0.694274 | − | 0.719711i | \(-0.255726\pi\) | |||||||
\(644\) | −92.7430 | + | 67.7836i | −0.144011 | + | 0.105254i | ||||
\(645\) | 90.7853 | 0.140752 | ||||||||
\(646\) | −584.407 | − | 1147.14i | −0.904655 | − | 1.77576i | ||||
\(647\) | −998.856 | + | 576.690i | −1.54383 | + | 0.891328i | −0.545234 | + | 0.838284i | \(0.683559\pi\) |
−0.998592 | + | 0.0530446i | \(0.983107\pi\) | |||||||
\(648\) | 15.8773 | − | 6.09126i | 0.0245019 | − | 0.00940010i | ||||
\(649\) | 307.860 | − | 533.230i | 0.474361 | − | 0.821618i | ||||
\(650\) | 266.078 | + | 172.817i | 0.409350 | + | 0.265872i | ||||
\(651\) | −206.348 | + | 641.522i | −0.316971 | + | 0.985441i | ||||
\(652\) | 149.127 | − | 66.3730i | 0.228722 | − | 0.101799i | ||||
\(653\) | −242.660 | + | 420.299i | −0.371607 | + | 0.643643i | −0.989813 | − | 0.142374i | \(-0.954527\pi\) |
0.618206 | + | 0.786016i | \(0.287860\pi\) | |||||||
\(654\) | 85.4811 | + | 4.48528i | 0.130705 | + | 0.00685823i | ||||
\(655\) | −187.046 | + | 107.991i | −0.285567 | + | 0.164872i | ||||
\(656\) | −154.540 | − | 476.033i | −0.235579 | − | 0.725660i | ||||
\(657\) | 104.080 | 0.158417 | ||||||||
\(658\) | 629.058 | − | 101.500i | 0.956015 | − | 0.154255i | ||||
\(659\) | 659.367i | 1.00056i | 0.865864 | + | 0.500279i | \(0.166769\pi\) | ||||
−0.865864 | + | 0.500279i | \(0.833231\pi\) | |||||||
\(660\) | −165.071 | − | 17.3707i | −0.250108 | − | 0.0263193i | ||||
\(661\) | −563.692 | − | 976.343i | −0.852787 | − | 1.47707i | −0.878683 | − | 0.477405i | \(-0.841577\pi\) |
0.0258969 | − | 0.999665i | \(-0.491756\pi\) | |||||||
\(662\) | 715.719 | + | 37.5545i | 1.08115 | + | 0.0567288i | ||||
\(663\) | 342.432 | + | 197.703i | 0.516489 | + | 0.298195i | ||||
\(664\) | 296.357 | + | 46.9959i | 0.446321 | + | 0.0707769i | ||||
\(665\) | 285.221 | − | 258.345i | 0.428903 | − | 0.388489i | ||||
\(666\) | −307.096 | − | 199.458i | −0.461106 | − | 0.299487i | ||||
\(667\) | −43.9444 | − | 25.3713i | −0.0658837 | − | 0.0380380i | ||||
\(668\) | 552.310 | + | 401.383i | 0.826812 | + | 0.600873i | ||||
\(669\) | 48.4911 | + | 83.9890i | 0.0724829 | + | 0.125544i | ||||
\(670\) | 66.5475 | + | 130.627i | 0.0993246 | + | 0.194966i | ||||
\(671\) | − | 369.170i | − | 0.550179i | ||||||
\(672\) | −421.163 | − | 20.9570i | −0.626731 | − | 0.0311860i | ||||
\(673\) | 860.169 | 1.27811 | 0.639055 | − | 0.769161i | \(-0.279325\pi\) | ||||
0.639055 | + | 0.769161i | \(0.279325\pi\) | |||||||
\(674\) | 471.141 | − | 240.021i | 0.699022 | − | 0.356114i | ||||
\(675\) | 469.571 | − | 271.107i | 0.695660 | − | 0.401640i | ||||
\(676\) | −248.337 | + | 341.716i | −0.367362 | + | 0.505496i | ||||
\(677\) | −291.690 | + | 505.222i | −0.430857 | + | 0.746266i | −0.996947 | − | 0.0780768i | \(-0.975122\pi\) |
0.566090 | + | 0.824343i | \(0.308455\pi\) | |||||||
\(678\) | −112.477 | + | 173.176i | −0.165896 | + | 0.255422i | ||||
\(679\) | 440.637 | − | 95.0229i | 0.648951 | − | 0.139945i | ||||
\(680\) | 74.4690 | − | 469.603i | 0.109513 | − | 0.690593i | ||||
\(681\) | −172.077 | + | 298.047i | −0.252683 | + | 0.437660i | ||||
\(682\) | −52.4339 | + | 999.293i | −0.0768826 | + | 1.46524i | ||||
\(683\) | 740.973 | − | 427.801i | 1.08488 | − | 0.626356i | 0.152671 | − | 0.988277i | \(-0.451212\pi\) |
0.932209 | + | 0.361921i | \(0.117879\pi\) | |||||||
\(684\) | −55.7331 | + | 529.622i | −0.0814811 | + | 0.774301i | ||||
\(685\) | 97.8857 | 0.142899 | ||||||||
\(686\) | −306.043 | + | 613.949i | −0.446126 | + | 0.894970i | ||||
\(687\) | 393.296i | 0.572484i | ||||||||
\(688\) | 325.748 | − | 105.751i | 0.473471 | − | 0.153708i | ||||
\(689\) | −62.9351 | − | 109.007i | −0.0913426 | − | 0.158210i | ||||
\(690\) | 1.82351 | − | 34.7528i | 0.00264277 | − | 0.0503663i | ||||
\(691\) | 895.471 | + | 517.000i | 1.29591 | + | 0.748191i | 0.979694 | − | 0.200498i | \(-0.0642559\pi\) |
0.316211 | + | 0.948689i | \(0.397589\pi\) | |||||||
\(692\) | 18.3889 | + | 41.3162i | 0.0265736 | + | 0.0597055i | ||||
\(693\) | −78.7708 | − | 365.274i | −0.113666 | − | 0.527091i | ||||
\(694\) | 628.966 | − | 968.389i | 0.906291 | − | 1.39537i | ||||
\(695\) | −58.3154 | − | 33.6684i | −0.0839070 | − | 0.0484437i | ||||
\(696\) | −66.7201 | − | 173.910i | −0.0958622 | − | 0.249871i | ||||
\(697\) | −412.595 | − | 714.635i | −0.591958 | − | 1.02530i | ||||
\(698\) | −771.457 | + | 393.016i | −1.10524 | + | 0.563059i | ||||
\(699\) | − | 510.097i | − | 0.729753i | ||||||
\(700\) | −554.652 | + | 59.8840i | −0.792360 | + | 0.0855486i | ||||
\(701\) | −540.208 | −0.770624 | −0.385312 | − | 0.922786i | \(-0.625906\pi\) | ||||
−0.385312 | + | 0.922786i | \(0.625906\pi\) | |||||||
\(702\) | −196.716 | − | 386.137i | −0.280222 | − | 0.550053i | ||||
\(703\) | −709.140 | + | 409.422i | −1.00873 | + | 0.582392i | ||||
\(704\) | −612.529 | + | 129.955i | −0.870069 | + | 0.184595i | ||||
\(705\) | −96.5181 | + | 167.174i | −0.136905 | + | 0.237127i | ||||
\(706\) | −764.610 | − | 496.612i | −1.08302 | − | 0.703417i | ||||
\(707\) | −713.696 | − | 787.942i | −1.00947 | − | 1.11449i | ||||
\(708\) | 192.693 | + | 432.943i | 0.272166 | + | 0.611502i | ||||
\(709\) | −130.970 | + | 226.846i | −0.184724 | + | 0.319952i | −0.943484 | − | 0.331419i | \(-0.892473\pi\) |
0.758759 | + | 0.651371i | \(0.225806\pi\) | |||||||
\(710\) | −72.4564 | − | 3.80186i | −0.102051 | − | 0.00535474i | ||||
\(711\) | −26.9699 | + | 15.5711i | −0.0379323 | + | 0.0219002i | ||||
\(712\) | −58.4716 | − | 47.3677i | −0.0821230 | − | 0.0665276i | ||||
\(713\) | −209.804 | −0.294255 | ||||||||
\(714\) | −686.381 | + | 110.749i | −0.961318 | + | 0.155111i | ||||
\(715\) | 175.504i | 0.245461i | ||||||||
\(716\) | −62.4772 | + | 593.711i | −0.0872587 | + | 0.829205i | ||||
\(717\) | −225.505 | − | 390.586i | −0.314512 | − | 0.544750i | ||||
\(718\) | −462.978 | − | 24.2930i | −0.644817 | − | 0.0338342i | ||||
\(719\) | 32.7070 | + | 18.8834i | 0.0454896 | + | 0.0262634i | 0.522572 | − | 0.852595i | \(-0.324972\pi\) |
−0.477083 | + | 0.878858i | \(0.658306\pi\) | |||||||
\(720\) | −131.641 | + | 146.128i | −0.182835 | + | 0.202956i | ||||
\(721\) | −402.223 | − | 129.377i | −0.557868 | − | 0.179441i | ||||
\(722\) | 393.195 | + | 255.379i | 0.544592 | + | 0.353711i | ||||
\(723\) | 684.435 | + | 395.159i | 0.946660 | + | 0.546554i | ||||
\(724\) | −537.536 | + | 739.659i | −0.742453 | + | 1.02163i | ||||
\(725\) | −123.214 | − | 213.413i | −0.169951 | − | 0.294363i | ||||
\(726\) | −43.2012 | − | 84.8004i | −0.0595058 | − | 0.116805i | ||||
\(727\) | − | 131.306i | − | 0.180613i | −0.995914 | − | 0.0903066i | \(-0.971215\pi\) | ||
0.995914 | − | 0.0903066i | \(-0.0287847\pi\) | |||||||
\(728\) | 24.5674 | + | 445.198i | 0.0337465 | + | 0.611536i | ||||
\(729\) | −472.675 | −0.648388 | ||||||||
\(730\) | 76.5888 | − | 39.0178i | 0.104916 | − | 0.0534491i | ||||
\(731\) | 489.023 | − | 282.338i | 0.668979 | − | 0.386235i | ||||
\(732\) | 229.846 | + | 167.037i | 0.313997 | + | 0.228193i | ||||
\(733\) | −201.155 | + | 348.411i | −0.274427 | + | 0.475321i | −0.969990 | − | 0.243143i | \(-0.921821\pi\) |
0.695563 | + | 0.718465i | \(0.255155\pi\) | |||||||
\(734\) | 269.903 | − | 415.557i | 0.367715 | − | 0.566153i | ||||
\(735\) | −85.6499 | − | 189.352i | −0.116531 | − | 0.257621i | ||||
\(736\) | −33.9387 | − | 126.821i | −0.0461124 | − | 0.172311i | ||||
\(737\) | 159.159 | − | 275.671i | 0.215955 | − | 0.374044i | ||||
\(738\) | −17.8859 | + | 340.872i | −0.0242357 | + | 0.461887i | ||||
\(739\) | 734.798 | − | 424.236i | 0.994314 | − | 0.574068i | 0.0877533 | − | 0.996142i | \(-0.472031\pi\) |
0.906561 | + | 0.422075i | \(0.138698\pi\) | |||||||
\(740\) | −300.754 | − | 31.6489i | −0.406425 | − | 0.0427688i | ||||
\(741\) | −365.745 | −0.493583 | ||||||||
\(742\) | 206.851 | + | 78.7166i | 0.278775 | + | 0.106087i | ||||
\(743\) | − | 229.180i | − | 0.308452i | −0.988036 | − | 0.154226i | \(-0.950712\pi\) | ||
0.988036 | − | 0.154226i | \(-0.0492883\pi\) | |||||||
\(744\) | −598.437 | − | 484.792i | −0.804350 | − | 0.651602i | ||||
\(745\) | 298.901 | + | 517.712i | 0.401209 | + | 0.694915i | ||||
\(746\) | 37.9125 | − | 722.541i | 0.0508210 | − | 0.968554i | ||||
\(747\) | −177.228 | − | 102.323i | −0.237253 | − | 0.136978i | ||||
\(748\) | −943.193 | + | 419.794i | −1.26095 | + | 0.561222i | ||||
\(749\) | 1349.94 | + | 434.215i | 1.80233 | + | 0.579726i | ||||
\(750\) | 207.566 | − | 319.579i | 0.276754 | − | 0.426105i | ||||
\(751\) | −197.207 | − | 113.858i | −0.262593 | − | 0.151608i | 0.362924 | − | 0.931819i | \(-0.381778\pi\) |
−0.625517 | + | 0.780211i | \(0.715112\pi\) | |||||||
\(752\) | −151.586 | + | 712.270i | −0.201577 | + | 0.947168i | ||||
\(753\) | 277.935 | + | 481.398i | 0.369104 | + | 0.639307i | ||||
\(754\) | −175.494 | + | 89.4047i | −0.232751 | + | 0.118574i | ||||
\(755\) | 446.116i | 0.590882i | ||||||||
\(756\) | 696.987 | + | 307.958i | 0.921941 | + | 0.407352i | ||||
\(757\) | 395.989 | 0.523103 | 0.261551 | − | 0.965190i | \(-0.415766\pi\) | ||||
0.261551 | + | 0.965190i | \(0.415766\pi\) | |||||||
\(758\) | 28.0155 | + | 54.9920i | 0.0369597 | + | 0.0725488i | ||||
\(759\) | −65.4393 | + | 37.7814i | −0.0862177 | + | 0.0497778i | ||||
\(760\) | 157.534 | + | 410.622i | 0.207282 | + | 0.540292i | ||||
\(761\) | 270.903 | − | 469.217i | 0.355982 | − | 0.616579i | −0.631303 | − | 0.775536i | \(-0.717480\pi\) |
0.987286 | + | 0.158957i | \(0.0508130\pi\) | |||||||
\(762\) | 645.815 | + | 419.455i | 0.847526 | + | 0.550466i | ||||
\(763\) | 106.839 | + | 117.953i | 0.140024 | + | 0.154591i | ||||
\(764\) | −226.787 | + | 100.938i | −0.296841 | + | 0.132117i | ||||
\(765\) | −162.139 | + | 280.833i | −0.211947 | + | 0.367103i | ||||
\(766\) | 1111.04 | + | 58.2972i | 1.45044 | + | 0.0761060i | ||||
\(767\) | 433.943 | − | 250.537i | 0.565767 | − | 0.326646i | ||||
\(768\) | 196.239 | − | 440.162i | 0.255519 | − | 0.573127i | ||||
\(769\) | 562.551 | 0.731536 | 0.365768 | − | 0.930706i | \(-0.380806\pi\) | ||||
0.365768 | + | 0.930706i | \(0.380806\pi\) | |||||||
\(770\) | −194.899 | − | 239.261i | −0.253116 | − | 0.310729i | ||||
\(771\) | − | 254.907i | − | 0.330619i | ||||||
\(772\) | 858.195 | + | 90.3094i | 1.11165 | + | 0.116981i | ||||
\(773\) | −725.107 | − | 1255.92i | −0.938042 | − | 1.62474i | −0.769117 | − | 0.639108i | \(-0.779303\pi\) |
−0.168926 | − | 0.985629i | \(-0.554030\pi\) | |||||||
\(774\) | −233.258 | − | 12.2393i | −0.301367 | − | 0.0158131i | ||||
\(775\) | −882.394 | − | 509.450i | −1.13857 | − | 0.657355i | ||||
\(776\) | −80.6854 | + | 508.804i | −0.103976 | + | 0.655676i | ||||
\(777\) | 93.2183 | + | 432.269i | 0.119972 | + | 0.556331i | ||||
\(778\) | −645.988 | − | 419.567i | −0.830318 | − | 0.539289i | ||||
\(779\) | 661.027 | + | 381.644i | 0.848559 | + | 0.489915i | ||||
\(780\) | −109.269 | − | 79.4099i | −0.140089 | − | 0.101808i | ||||
\(781\) | 78.7708 | + | 136.435i | 0.100859 | + | 0.174693i | ||||
\(782\) | −98.2568 | − | 192.870i | −0.125648 | − | 0.246637i | ||||
\(783\) | 336.592i | 0.429874i | ||||||||
\(784\) | −527.888 | − | 579.647i | −0.673327 | − | 0.739345i | ||||
\(785\) | −429.311 | −0.546893 | ||||||||
\(786\) | −321.609 | + | 163.842i | −0.409171 | + | 0.208451i | ||||
\(787\) | −12.6982 | + | 7.33131i | −0.0161349 | + | 0.00931551i | −0.508046 | − | 0.861330i | \(-0.669632\pi\) |
0.491911 | + | 0.870646i | \(0.336299\pi\) | |||||||
\(788\) | 62.8428 | − | 86.4727i | 0.0797497 | − | 0.109737i | ||||
\(789\) | 166.419 | − | 288.246i | 0.210924 | − | 0.365331i | ||||
\(790\) | −14.0088 | + | 21.5687i | −0.0177327 | + | 0.0273021i | ||||
\(791\) | −375.294 | + | 80.9318i | −0.474456 | + | 0.102316i | ||||
\(792\) | 421.782 | + | 66.8855i | 0.532553 | + | 0.0844514i | ||||
\(793\) | 150.216 | − | 260.181i | 0.189427 | − | 0.328097i | ||||
\(794\) | 55.9641 | − | 1066.57i | 0.0704838 | − | 1.34329i | ||||
\(795\) | −58.0661 | + | 33.5245i | −0.0730392 | + | 0.0421692i | ||||
\(796\) | 24.1013 | − | 229.031i | 0.0302780 | − | 0.287727i | ||||
\(797\) | 311.037 | 0.390259 | 0.195130 | − | 0.980777i | \(-0.437487\pi\) | ||||
0.195130 | + | 0.980777i | \(0.437487\pi\) | |||||||
\(798\) | 498.613 | − | 406.163i | 0.624828 | − | 0.508976i | ||||
\(799\) | 1200.67i | 1.50271i | ||||||||
\(800\) | 165.210 | − | 615.795i | 0.206512 | − | 0.769744i | ||||
\(801\) | 25.6609 | + | 44.4460i | 0.0320361 | + | 0.0554882i | ||||
\(802\) | 18.9913 | − | 361.939i | 0.0236799 | − | 0.451295i | ||||
\(803\) | −161.630 | − | 93.3172i | −0.201283 | − | 0.116211i | ||||
\(804\) | 99.6191 | + | 223.824i | 0.123904 | + | 0.278388i | ||||
\(805\) | 47.9544 | − | 43.4358i | 0.0595707 | − | 0.0539575i | ||||
\(806\) | −443.567 | + | 682.939i | −0.550331 | + | 0.847318i | ||||
\(807\) | −223.225 | − | 128.879i | −0.276611 | − | 0.159701i | ||||
\(808\) | 1134.37 | − | 435.198i | 1.40393 | − | 0.538612i | ||||
\(809\) | −356.263 | − | 617.066i | −0.440375 | − | 0.762752i | 0.557342 | − | 0.830283i | \(-0.311821\pi\) |
−0.997717 | + | 0.0675310i | \(0.978488\pi\) | |||||||
\(810\) | −8.53459 | + | 4.34791i | −0.0105365 | + | 0.00536780i | ||||
\(811\) | 730.981i | 0.901333i | 0.892692 | + | 0.450666i | \(0.148814\pi\) | ||||
−0.892692 | + | 0.450666i | \(0.851186\pi\) | |||||||
\(812\) | 139.963 | − | 316.771i | 0.172368 | − | 0.390112i | ||||
\(813\) | 264.813 | 0.325724 | ||||||||
\(814\) | 298.069 | + | 585.086i | 0.366179 | + | 0.718778i | ||||
\(815\) | −79.6210 | + | 45.9692i | −0.0976944 | + | 0.0564039i | ||||
\(816\) | 165.399 | − | 777.176i | 0.202695 | − | 0.952422i | ||||
\(817\) | −261.158 | + | 452.340i | −0.319655 | + | 0.553659i | ||||
\(818\) | 765.031 | + | 496.886i | 0.935246 | + | 0.607440i | ||||
\(819\) | 93.1146 | − | 289.487i | 0.113693 | − | 0.353464i | ||||
\(820\) | 114.625 | + | 257.540i | 0.139787 | + | 0.314073i | ||||
\(821\) | −342.938 | + | 593.986i | −0.417707 | + | 0.723490i | −0.995708 | − | 0.0925456i | \(-0.970500\pi\) |
0.578001 | + | 0.816036i | \(0.303833\pi\) | |||||||
\(822\) | 163.356 | + | 8.57148i | 0.198730 | + | 0.0104276i | ||||
\(823\) | −1283.41 | + | 740.978i | −1.55943 | + | 0.900338i | −0.562121 | + | 0.827055i | \(0.690014\pi\) |
−0.997311 | + | 0.0732832i | \(0.976652\pi\) | |||||||
\(824\) | 303.956 | − | 375.209i | 0.368879 | − | 0.455351i | ||||
\(825\) | −366.966 | −0.444807 | ||||||||
\(826\) | −313.362 | + | 823.449i | −0.379373 | + | 0.996912i | ||||
\(827\) | − | 591.272i | − | 0.714960i | −0.933921 | − | 0.357480i | \(-0.883636\pi\) | ||
0.933921 | − | 0.357480i | \(-0.116364\pi\) | |||||||
\(828\) | −9.37045 | + | 89.0458i | −0.0113170 | + | 0.107543i | ||||
\(829\) | 340.609 | + | 589.952i | 0.410867 | + | 0.711643i | 0.994985 | − | 0.100026i | \(-0.0318926\pi\) |
−0.584118 | + | 0.811669i | \(0.698559\pi\) | |||||||
\(830\) | −168.775 | − | 8.85578i | −0.203343 | − | 0.0106696i | ||||
\(831\) | −583.177 | − | 336.697i | −0.701778 | − | 0.405171i | ||||
\(832\) | −484.572 | − | 157.650i | −0.582418 | − | 0.189483i | ||||
\(833\) | −1050.24 | − | 753.593i | −1.26079 | − | 0.904673i | ||||
\(834\) | −94.3713 | − | 61.2939i | −0.113155 | − | 0.0734939i | ||||
\(835\) | −333.036 | − | 192.279i | −0.398846 | − | 0.230274i | ||||
\(836\) | 561.403 | − | 772.500i | 0.671535 | − | 0.924043i | ||||
\(837\) | 695.847 | + | 1205.24i | 0.831359 | + | 1.43996i | ||||
\(838\) | −458.382 | − | 899.767i | −0.546996 | − | 1.07371i | ||||
\(839\) | 610.055i | 0.727122i | 0.931570 | + | 0.363561i | \(0.118439\pi\) | ||||
−0.931570 | + | 0.363561i | \(0.881561\pi\) | |||||||
\(840\) | 237.150 | − | 13.0867i | 0.282321 | − | 0.0155794i | ||||
\(841\) | −688.024 | −0.818102 | ||||||||
\(842\) | 1247.25 | − | 635.404i | 1.48129 | − | 0.754637i | ||||
\(843\) | 389.269 | − | 224.745i | 0.461767 | − | 0.266601i | ||||
\(844\) | 711.036 | + | 516.735i | 0.842460 | + | 0.612245i | ||||
\(845\) | 118.963 | − | 206.050i | 0.140785 | − | 0.243846i | ||||
\(846\) | 270.526 | − | 416.515i | 0.319770 | − | 0.492335i | ||||
\(847\) | 54.1804 | − | 168.443i | 0.0639674 | − | 0.198870i | ||||
\(848\) | −169.297 | + | 187.928i | −0.199643 | + | 0.221613i | ||||
\(849\) | 155.080 | − | 268.607i | 0.182662 | − | 0.316381i | ||||
\(850\) | 55.0821 | − | 1049.76i | 0.0648025 | − | 1.23501i | ||||
\(851\) | −119.228 | + | 68.8365i | −0.140104 | + | 0.0808889i | ||||
\(852\) | −120.586 | − | 12.6895i | −0.141533 | − | 0.0148937i | ||||
\(853\) | 1133.72 | 1.32909 | 0.664547 | − | 0.747247i | \(-0.268625\pi\) | ||||
0.664547 | + | 0.747247i | \(0.268625\pi\) | |||||||
\(854\) | 84.1474 | + | 521.515i | 0.0985333 | + | 0.610673i | ||||
\(855\) | − | 299.953i | − | 0.350822i | ||||||
\(856\) | −1020.14 | + | 1259.28i | −1.19175 | + | 1.47112i | ||||
\(857\) | 833.339 | + | 1443.39i | 0.972391 | + | 1.68423i | 0.688288 | + | 0.725437i | \(0.258362\pi\) |
0.284103 | + | 0.958794i | \(0.408304\pi\) | |||||||
\(858\) | −15.3683 | + | 292.890i | −0.0179117 | + | 0.341364i | ||||
\(859\) | −242.748 | − | 140.151i | −0.282594 | − | 0.163156i | 0.352003 | − | 0.935999i | \(-0.385501\pi\) |
−0.634597 | + | 0.772843i | \(0.718834\pi\) | |||||||
\(860\) | −176.234 | + | 78.4379i | −0.204924 | + | 0.0912069i | ||||
\(861\) | 305.511 | − | 276.723i | 0.354832 | − | 0.321397i | ||||
\(862\) | −445.122 | + | 685.332i | −0.516382 | + | 0.795049i | ||||
\(863\) | −49.4107 | − | 28.5273i | −0.0572546 | − | 0.0330559i | 0.471099 | − | 0.882080i | \(-0.343857\pi\) |
−0.528354 | + | 0.849024i | \(0.677191\pi\) | |||||||
\(864\) | −615.975 | + | 615.587i | −0.712934 | + | 0.712485i | ||||
\(865\) | −12.7360 | − | 22.0593i | −0.0147237 | − | 0.0255021i | ||||
\(866\) | −497.690 | + | 253.546i | −0.574700 | + | 0.292778i | ||||
\(867\) | − | 766.029i | − | 0.883540i | ||||||
\(868\) | −153.704 | − | 1423.62i | −0.177078 | − | 1.64012i | ||||
\(869\) | 55.8433 | 0.0642616 | ||||||||
\(870\) | 47.6245 | + | 93.4829i | 0.0547408 | + | 0.107452i | ||||
\(871\) | 224.341 | − | 129.523i | 0.257567 | − | 0.148707i | ||||
\(872\) | −169.813 | + | 65.1482i | −0.194740 | + | 0.0747113i | ||||
\(873\) | 175.674 | − | 304.276i | 0.201230 | − | 0.348541i | ||||
\(874\) | 167.911 | + | 109.058i | 0.192117 | + | 0.124780i | ||||
\(875\) | 692.568 | − | 149.351i | 0.791507 | − | 0.170687i | ||||
\(876\) | 131.232 | − | 58.4083i | 0.149808 | − | 0.0666761i | ||||
\(877\) | −137.627 | + | 238.377i | −0.156929 | + | 0.271809i | −0.933760 | − | 0.357900i | \(-0.883493\pi\) |
0.776831 | + | 0.629710i | \(0.216826\pi\) | |||||||
\(878\) | −807.779 | − | 42.3850i | −0.920022 | − | 0.0482745i | ||||
\(879\) | −295.984 | + | 170.887i | −0.336729 | + | 0.194410i | ||||
\(880\) | 335.448 | − | 108.900i | 0.381190 | − | 0.123750i | ||||
\(881\) | −968.386 | −1.09919 | −0.549595 | − | 0.835431i | \(-0.685218\pi\) | ||||
−0.549595 | + | 0.835431i | \(0.685218\pi\) | |||||||
\(882\) | 194.536 | + | 498.056i | 0.220563 | + | 0.564689i | ||||
\(883\) | 1110.94i | 1.25815i | 0.777347 | + | 0.629073i | \(0.216565\pi\) | ||||
−0.777347 | + | 0.629073i | \(0.783435\pi\) | |||||||
\(884\) | −835.551 | − | 87.9265i | −0.945193 | − | 0.0994644i | ||||
\(885\) | −133.457 | − | 231.155i | −0.150799 | − | 0.261192i | ||||
\(886\) | −427.510 | − | 22.4319i | −0.482516 | − | 0.0253181i | ||||
\(887\) | −284.741 | − | 164.395i | −0.321016 | − | 0.185339i | 0.330829 | − | 0.943691i | \(-0.392672\pi\) |
−0.651845 | + | 0.758352i | \(0.726005\pi\) | |||||||
\(888\) | −499.142 | − | 79.1531i | −0.562097 | − | 0.0891364i | ||||
\(889\) | 301.814 | + | 1399.56i | 0.339498 | + | 1.57431i | ||||
\(890\) | 35.5449 | + | 23.0863i | 0.0399381 | + | 0.0259397i | ||||
\(891\) | 18.0111 | + | 10.3987i | 0.0202145 | + | 0.0116708i | ||||
\(892\) | −166.698 | − | 121.145i | −0.186881 | − | 0.135813i | ||||
\(893\) | −555.300 | − | 961.807i | −0.621836 | − | 1.07705i | ||||
\(894\) | 453.486 | + | 890.156i | 0.507255 | + | 0.995700i | ||||
\(895\) | − | 336.250i | − | 0.375698i | ||||||
\(896\) | 835.678 | − | 323.200i | 0.932676 | − | 0.360715i | ||||
\(897\) | −61.4931 | −0.0685541 | ||||||||
\(898\) | −372.584 | + | 189.812i | −0.414905 | + | 0.211371i | ||||
\(899\) | 547.766 | − | 316.253i | 0.609306 | − | 0.351783i | ||||
\(900\) | −255.633 | + | 351.755i | −0.284037 | + | 0.390839i | ||||
\(901\) | −208.519 | + | 361.166i | −0.231431 | + | 0.400850i | ||||
\(902\) | 333.398 | − | 513.317i | 0.369621 | − | 0.569088i | ||||
\(903\) | 189.361 | + | 209.060i | 0.209702 | + | 0.231518i | ||||
\(904\) | 68.7204 | − | 433.353i | 0.0760181 | − | 0.479372i | ||||
\(905\) | 257.501 | − | 446.005i | 0.284532 | − | 0.492823i | ||||
\(906\) | −39.0647 | + | 744.500i | −0.0431177 | + | 0.821743i | ||||
\(907\) | −639.658 | + | 369.307i | −0.705245 | + | 0.407174i | −0.809298 | − | 0.587398i | \(-0.800152\pi\) |
0.104053 | + | 0.994572i | \(0.466819\pi\) | |||||||
\(908\) | 76.5297 | − | 727.248i | 0.0842838 | − | 0.800934i | ||||
\(909\) | −828.640 | −0.911595 | ||||||||
\(910\) | −40.0039 | − | 247.929i | −0.0439603 | − | 0.272450i | ||||
\(911\) | − | 1219.97i | − | 1.33915i | −0.742742 | − | 0.669577i | \(-0.766475\pi\) | ||
0.742742 | − | 0.669577i | \(-0.233525\pi\) | |||||||
\(912\) | 226.944 | + | 699.061i | 0.248842 | + | 0.766514i | ||||
\(913\) | 183.483 | + | 317.802i | 0.200967 | + | 0.348085i | ||||
\(914\) | −8.99346 | + | 171.399i | −0.00983967 | + | 0.187526i | ||||
\(915\) | −138.594 | − | 80.0175i | −0.151469 | − | 0.0874508i | ||||
\(916\) | −339.805 | − | 763.475i | −0.370967 | − | 0.833488i | ||||
\(917\) | −638.826 | − | 205.481i | −0.696648 | − | 0.224080i | ||||
\(918\) | −782.080 | + | 1204.13i | −0.851939 | + | 1.31169i | ||||
\(919\) | 1250.84 | + | 722.174i | 1.36109 | + | 0.785825i | 0.989769 | − | 0.142679i | \(-0.0455718\pi\) |
0.371321 | + | 0.928505i | \(0.378905\pi\) | |||||||
\(920\) | 26.4863 | + | 69.0383i | 0.0287895 | + | 0.0750416i | ||||
\(921\) | −486.907 | − | 843.348i | −0.528672 | − | 0.915687i | ||||
\(922\) | −70.8738 | + | 36.1064i | −0.0768696 | + | 0.0391609i | ||||
\(923\) | 128.208i | 0.138903i | ||||||||
\(924\) | −304.306 | − | 416.358i | −0.329335 | − | 0.450604i | ||||
\(925\) | −668.600 | −0.722811 | ||||||||
\(926\) | −174.667 | − | 342.858i | −0.188626 | − | 0.370257i | ||||
\(927\) | −285.208 | + | 164.665i | −0.307668 | + | 0.177632i | ||||
\(928\) | 279.776 | + | 279.952i | 0.301482 | + | 0.301673i | ||||
\(929\) | 719.190 | − | 1245.67i | 0.774155 | − | 1.34088i | −0.161113 | − | 0.986936i | \(-0.551508\pi\) |
0.935268 | − | 0.353940i | \(-0.115158\pi\) | |||||||
\(930\) | 363.791 | + | 236.281i | 0.391173 | + | 0.254066i | ||||
\(931\) | 1189.83 | + | 117.947i | 1.27802 | + | 0.126689i | ||||
\(932\) | 440.721 | + | 990.212i | 0.472877 | + | 1.06246i | ||||
\(933\) | 362.045 | − | 627.080i | 0.388044 | − | 0.672111i | ||||
\(934\) | −960.194 | − | 50.3824i | −1.02804 | − | 0.0539426i | ||||
\(935\) | 503.584 | − | 290.744i | 0.538593 | − | 0.310957i | ||||
\(936\) | 270.044 | + | 218.762i | 0.288509 | + | 0.233720i | ||||
\(937\) | −236.591 | −0.252498 | −0.126249 | − | 0.991999i | \(-0.540294\pi\) | ||||
−0.126249 | + | 0.991999i | \(0.540294\pi\) | |||||||
\(938\) | −162.003 | + | 425.709i | −0.172711 | + | 0.453848i | ||||
\(939\) | − | 70.4845i | − | 0.0750633i | ||||||
\(940\) | 42.9254 | − | 407.913i | 0.0456654 | − | 0.433950i | ||||
\(941\) | 145.074 | + | 251.275i | 0.154170 | + | 0.267030i | 0.932756 | − | 0.360507i | \(-0.117396\pi\) |
−0.778587 | + | 0.627537i | \(0.784063\pi\) | |||||||
\(942\) | −716.455 | − | 37.5931i | −0.760568 | − | 0.0399078i | ||||
\(943\) | 111.139 | + | 64.1662i | 0.117857 | + | 0.0680447i | ||||
\(944\) | −748.120 | − | 673.953i | −0.792500 | − | 0.713933i | ||||
\(945\) | −408.570 | − | 131.418i | −0.432349 | − | 0.139067i | ||||
\(946\) | 351.262 | + | 228.144i | 0.371313 | + | 0.241167i | ||||
\(947\) | −662.602 | − | 382.553i | −0.699685 | − | 0.403964i | 0.107545 | − | 0.994200i | \(-0.465701\pi\) |
−0.807230 | + | 0.590237i | \(0.799034\pi\) | |||||||
\(948\) | −25.2673 | + | 34.7682i | −0.0266532 | + | 0.0366753i | ||||
\(949\) | −75.9417 | − | 131.535i | −0.0800228 | − | 0.138604i | ||||
\(950\) | 441.383 | + | 866.398i | 0.464614 | + | 0.911998i | ||||
\(951\) | 356.958i | 0.375350i | ||||||||
\(952\) | 1236.73 | − | 808.017i | 1.29909 | − | 0.848758i | ||||
\(953\) | 1711.94 | 1.79637 | 0.898183 | − | 0.439621i | \(-0.144887\pi\) | ||||
0.898183 | + | 0.439621i | \(0.144887\pi\) | |||||||
\(954\) | 153.711 | − | 78.3076i | 0.161123 | − | 0.0820834i | ||||
\(955\) | 121.085 | − | 69.9083i | 0.126790 | − | 0.0732024i | ||||
\(956\) | 775.218 | + | 563.379i | 0.810898 | + | 0.589308i | ||||
\(957\) | 113.901 | − | 197.283i | 0.119019 | − | 0.206147i | ||||
\(958\) | 486.787 | − | 749.482i | 0.508128 | − | 0.782340i | ||||
\(959\) | 204.171 | + | 225.411i | 0.212900 | + | 0.235048i | ||||
\(960\) | −83.9775 | + | 258.124i | −0.0874766 | + | 0.268879i | ||||
\(961\) | 827.101 | − | 1432.58i | 0.860667 | − | 1.49072i | ||||
\(962\) | −28.0005 | + | 533.637i | −0.0291065 | + | 0.554716i | ||||
\(963\) | 957.217 | − | 552.650i | 0.993995 | − | 0.573883i | ||||
\(964\) | −1670.05 | − | 175.743i | −1.73242 | − | 0.182306i | ||||
\(965\) | −486.041 | −0.503669 | ||||||||
\(966\) | 83.8322 | − | 68.2885i | 0.0867828 | − | 0.0706921i | ||||
\(967\) | 753.697i | 0.779418i | 0.920938 | + | 0.389709i | \(0.127424\pi\) | ||||
−0.920938 | + | 0.389709i | \(0.872576\pi\) | |||||||
\(968\) | 157.130 | + | 127.291i | 0.162324 | + | 0.131499i | ||||
\(969\) | 605.901 | + | 1049.45i | 0.625285 | + | 1.08303i | ||||
\(970\) | 15.2041 | − | 289.763i | 0.0156744 | − | 0.298724i | ||||
\(971\) | 751.341 | + | 433.787i | 0.773781 | + | 0.446742i | 0.834222 | − | 0.551429i | \(-0.185917\pi\) |
−0.0604411 | + | 0.998172i | \(0.519251\pi\) | |||||||
\(972\) | 880.428 | − | 391.859i | 0.905791 | − | 0.403147i | ||||
\(973\) | −44.1033 | − | 204.515i | −0.0453271 | − | 0.210190i | ||||
\(974\) | 722.428 | − | 1112.29i | 0.741713 | − | 1.14198i | ||||
\(975\) | −258.628 | − | 149.319i | −0.265259 | − | 0.153147i | ||||
\(976\) | −590.501 | − | 125.671i | −0.605022 | − | 0.128761i | ||||
\(977\) | 246.202 | + | 426.434i | 0.251998 | + | 0.436473i | 0.964076 | − | 0.265628i | \(-0.0855792\pi\) |
−0.712078 | + | 0.702100i | \(0.752246\pi\) | |||||||
\(978\) | −136.901 | + | 69.7435i | −0.139980 | + | 0.0713124i | ||||
\(979\) | − | 92.0292i | − | 0.0940033i | ||||||
\(980\) | 329.864 | + | 293.572i | 0.336596 | + | 0.299564i | ||||
\(981\) | 124.046 | 0.126448 | ||||||||
\(982\) | 592.104 | + | 1162.25i | 0.602957 | + | 1.18355i | ||||
\(983\) | 1018.85 | − | 588.235i | 1.03647 | − | 0.598408i | 0.117640 | − | 0.993056i | \(-0.462467\pi\) |
0.918832 | + | 0.394649i | \(0.129134\pi\) | |||||||
\(984\) | 168.741 | + | 439.833i | 0.171484 | + | 0.446985i | ||||
\(985\) | −30.1042 | + | 52.1420i | −0.0305626 | + | 0.0529360i | ||||
\(986\) | 547.261 | + | 355.444i | 0.555031 | + | 0.360491i | ||||
\(987\) | −586.288 | + | 126.432i | −0.594010 | + | 0.128097i | ||||
\(988\) | 709.992 | − | 316.002i | 0.718616 | − | 0.319840i | ||||
\(989\) | −43.9088 | + | 76.0522i | −0.0443971 | + | 0.0768981i | ||||
\(990\) | −240.204 | − | 12.6037i | −0.242630 | − | 0.0127310i | ||||
\(991\) | −364.454 | + | 210.418i | −0.367764 | + | 0.212329i | −0.672481 | − | 0.740114i | \(-0.734771\pi\) |
0.304717 | + | 0.952443i | \(0.401438\pi\) | |||||||
\(992\) | 1580.56 | + | 424.043i | 1.59330 | + | 0.427463i | ||||
\(993\) | −674.604 | −0.679359 | ||||||||
\(994\) | −142.375 | − | 174.783i | −0.143235 | − | 0.175838i | ||||
\(995\) | 129.712i | 0.130364i | ||||||||
\(996\) | −280.884 | − | 29.5579i | −0.282012 | − | 0.0296766i | ||||
\(997\) | −413.731 | − | 716.604i | −0.414976 | − | 0.718760i | 0.580450 | − | 0.814296i | \(-0.302877\pi\) |
−0.995426 | + | 0.0955360i | \(0.969543\pi\) | |||||||
\(998\) | −1003.67 | − | 52.6634i | −1.00568 | − | 0.0527690i | ||||
\(999\) | 790.878 | + | 456.613i | 0.791669 | + | 0.457071i |
(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 | 28.3.g.a.23.6 | yes | 12 | |
3.2 | odd | 2 | 252.3.y.c.163.1 | 12 | |||
4.3 | odd | 2 | inner | 28.3.g.a.23.4 | yes | 12 | |
7.2 | even | 3 | 196.3.c.i.99.1 | 6 | |||
7.3 | odd | 6 | 196.3.g.i.67.4 | 12 | |||
7.4 | even | 3 | inner | 28.3.g.a.11.4 | ✓ | 12 | |
7.5 | odd | 6 | 196.3.c.h.99.1 | 6 | |||
7.6 | odd | 2 | 196.3.g.i.79.6 | 12 | |||
8.3 | odd | 2 | 448.3.r.h.191.3 | 12 | |||
8.5 | even | 2 | 448.3.r.h.191.4 | 12 | |||
12.11 | even | 2 | 252.3.y.c.163.3 | 12 | |||
21.11 | odd | 6 | 252.3.y.c.235.3 | 12 | |||
28.3 | even | 6 | 196.3.g.i.67.6 | 12 | |||
28.11 | odd | 6 | inner | 28.3.g.a.11.6 | yes | 12 | |
28.19 | even | 6 | 196.3.c.h.99.2 | 6 | |||
28.23 | odd | 6 | 196.3.c.i.99.2 | 6 | |||
28.27 | even | 2 | 196.3.g.i.79.4 | 12 | |||
56.11 | odd | 6 | 448.3.r.h.319.4 | 12 | |||
56.53 | even | 6 | 448.3.r.h.319.3 | 12 | |||
84.11 | even | 6 | 252.3.y.c.235.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
28.3.g.a.11.4 | ✓ | 12 | 7.4 | even | 3 | inner | |
28.3.g.a.11.6 | yes | 12 | 28.11 | odd | 6 | inner | |
28.3.g.a.23.4 | yes | 12 | 4.3 | odd | 2 | inner | |
28.3.g.a.23.6 | yes | 12 | 1.1 | even | 1 | trivial | |
196.3.c.h.99.1 | 6 | 7.5 | odd | 6 | |||
196.3.c.h.99.2 | 6 | 28.19 | even | 6 | |||
196.3.c.i.99.1 | 6 | 7.2 | even | 3 | |||
196.3.c.i.99.2 | 6 | 28.23 | odd | 6 | |||
196.3.g.i.67.4 | 12 | 7.3 | odd | 6 | |||
196.3.g.i.67.6 | 12 | 28.3 | even | 6 | |||
196.3.g.i.79.4 | 12 | 28.27 | even | 2 | |||
196.3.g.i.79.6 | 12 | 7.6 | odd | 2 | |||
252.3.y.c.163.1 | 12 | 3.2 | odd | 2 | |||
252.3.y.c.163.3 | 12 | 12.11 | even | 2 | |||
252.3.y.c.235.1 | 12 | 84.11 | even | 6 | |||
252.3.y.c.235.3 | 12 | 21.11 | odd | 6 | |||
448.3.r.h.191.3 | 12 | 8.3 | odd | 2 | |||
448.3.r.h.191.4 | 12 | 8.5 | even | 2 | |||
448.3.r.h.319.3 | 12 | 56.53 | even | 6 | |||
448.3.r.h.319.4 | 12 | 56.11 | odd | 6 |