Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [42,5,Mod(29,42)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(42, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("42.29");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 42.b (of order , degree , 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: | |
Analytic rank: | |
Dimension: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 29.7 | ||
Root | of defining polynomial | ||
Character | 42.29 | ||
Dual form | 42.5.b.a.29.3 |
-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 on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
2.82843i | 0.707107i | |||||||||
6.59792 | − | 6.12106i | 0.733103 | − | 0.680118i | |||||
−8.00000 | −0.500000 | |||||||||
− | 47.9925i | − | 1.91970i | −0.280513 | − | 0.959850i | ||||
0.280513 | − | 0.959850i | ||||||||
17.3130 | + | 18.6617i | 0.480916 | + | 0.518382i | |||||
−18.5203 | −0.377964 | |||||||||
− | 22.6274i | − | 0.353553i | |||||||
6.06518 | − | 80.7726i | 0.0748788 | − | 0.997193i | |||||
135.743 | 1.35743 | |||||||||
123.237i | 1.01848i | 0.860623 | + | 0.509242i | ||||||
−0.860623 | + | 0.509242i | ||||||||
−52.7834 | + | 48.9685i | −0.366551 | + | 0.340059i | |||||
241.627 | 1.42975 | 0.714874 | − | 0.699253i | ||||||
0.714874 | + | 0.699253i | ||||||||
− | 52.3832i | − | 0.267261i | |||||||
−293.765 | − | 316.651i | −1.30562 | − | 1.40734i | |||||
64.0000 | 0.250000 | |||||||||
64.4425i | 0.222984i | 0.993765 | + | 0.111492i | ||||||
−0.993765 | + | 0.111492i | ||||||||
228.459 | + | 17.1549i | 0.705122 | + | 0.0529473i | |||||
125.357 | 0.347249 | 0.173625 | − | 0.984812i | ||||||
0.173625 | + | 0.984812i | ||||||||
383.940i | 0.959850i | |||||||||
−122.195 | + | 113.364i | −0.277087 | + | 0.257060i | |||||
−348.566 | −0.720177 | |||||||||
287.613i | 0.543693i | 0.962341 | + | 0.271846i | ||||||
−0.962341 | + | 0.271846i | ||||||||
−138.504 | − | 149.294i | −0.240458 | − | 0.259191i | |||||
−1678.28 | −2.68525 | |||||||||
683.426i | 1.01098i | |||||||||
−454.397 | − | 570.057i | −0.623315 | − | 0.781971i | |||||
148.162 | 0.188982 | |||||||||
94.2775i | 0.112102i | 0.998428 | + | 0.0560508i | ||||||
−0.998428 | + | 0.0560508i | ||||||||
895.624 | − | 830.893i | 0.995138 | − | 0.923215i | |||||
429.829 | 0.447273 | 0.223637 | − | 0.974673i | ||||||
0.223637 | + | 0.974673i | ||||||||
181.019i | 0.176777i | |||||||||
754.339 | + | 813.106i | 0.692690 | + | 0.746653i | |||||
−182.271 | −0.157674 | |||||||||
888.834i | 0.725579i | |||||||||
−48.5215 | + | 646.181i | −0.0374394 | + | 0.498596i | |||||
2118.52 | 1.54749 | 0.773746 | − | 0.633496i | ||||||
0.773746 | + | 0.633496i | ||||||||
354.563i | 0.245542i | |||||||||
1594.24 | − | 1479.02i | 1.04815 | − | 0.972398i | |||||
−1085.95 | −0.678717 | |||||||||
− | 1220.23i | − | 0.725893i | −0.931810 | − | 0.362946i | ||||
0.931810 | − | 0.362946i | ||||||||
−320.641 | − | 345.620i | −0.181769 | − | 0.195930i | |||||
976.206 | 0.527964 | 0.263982 | − | 0.964528i | ||||||
0.263982 | + | 0.964528i | ||||||||
− | 985.893i | − | 0.509242i | |||||||
−3876.48 | − | 291.083i | −1.91431 | − | 0.143745i | |||||
−813.493 | −0.384449 | |||||||||
526.553i | 0.238367i | 0.992872 | + | 0.119183i | ||||||
−0.992872 | + | 0.119183i | ||||||||
422.267 | − | 391.748i | 0.183276 | − | 0.170030i | |||||
343.000 | 0.142857 | |||||||||
− | 4746.90i | − | 1.89876i | |||||||
394.457 | + | 425.187i | 0.151656 | + | 0.163470i | |||||
−1933.02 | −0.714874 | |||||||||
1567.07i | 0.557875i | 0.960309 | + | 0.278937i | ||||||
−0.960309 | + | 0.278937i | ||||||||
1612.36 | − | 1285.23i | 0.552937 | − | 0.440750i | |||||
5914.43 | 1.95518 | |||||||||
419.066i | 0.133631i | |||||||||
827.096 | − | 767.318i | 0.254569 | − | 0.236171i | |||||
−266.657 | −0.0792678 | |||||||||
5826.08i | 1.67368i | 0.547448 | + | 0.836840i | ||||||
−0.547448 | + | 0.836840i | ||||||||
2350.12 | + | 2533.21i | 0.652811 | + | 0.703669i | |||||
−4955.04 | −1.33164 | −0.665821 | − | 0.746112i | ||||||
−0.665821 | + | 0.746112i | ||||||||
1215.74i | 0.316270i | |||||||||
−112.329 | + | 1495.93i | −0.0283015 | + | 0.376903i | |||||
−512.000 | −0.125000 | |||||||||
− | 11596.3i | − | 2.74469i | |||||||
−2299.81 | + | 2133.59i | −0.527964 | + | 0.489806i | |||||
−1321.11 | −0.294300 | −0.147150 | − | 0.989114i | ||||||
−0.147150 | + | 0.989114i | ||||||||
− | 515.540i | − | 0.111492i | |||||||
1760.50 | + | 1897.65i | 0.369775 | + | 0.398582i | |||||
−2514.00 | −0.513062 | |||||||||
3717.89i | 0.737531i | 0.929522 | + | 0.368765i | ||||||
−0.929522 | + | 0.368765i | ||||||||
−1827.68 | − | 137.239i | −0.352561 | − | 0.0264737i | |||||
2023.01 | 0.379622 | 0.189811 | − | 0.981821i | ||||||
0.189811 | + | 0.981821i | ||||||||
5992.07i | 1.09424i | |||||||||
−11073.2 | + | 10272.9i | −1.96856 | + | 1.82629i | |||||
−1002.86 | −0.173625 | |||||||||
− | 2282.37i | − | 0.384951i | |||||||
4183.29 | + | 4509.19i | 0.687589 | + | 0.741156i | |||||
4711.86 | 0.754985 | 0.377493 | − | 0.926013i | ||||||
0.377493 | + | 0.926013i | ||||||||
− | 3071.52i | − | 0.479925i | |||||||
−6487.43 | − | 979.801i | −0.988786 | − | 0.149337i | |||||
3451.32 | 0.513284 | |||||||||
− | 4420.87i | − | 0.641729i | −0.947125 | − | 0.320865i | ||||
0.947125 | − | 0.320865i | ||||||||
977.562 | − | 906.909i | 0.138543 | − | 0.128530i | |||||
3092.76 | 0.428063 | |||||||||
2761.13i | 0.373327i | |||||||||
577.078 | + | 622.036i | 0.0762424 | + | 0.0821820i | |||||
2788.53 | 0.360089 | |||||||||
− | 8482.72i | − | 1.07091i | −0.844562 | − | 0.535457i | ||||
0.844562 | − | 0.535457i | ||||||||
823.308 | − | 10964.3i | 0.101643 | − | 1.35362i | |||||
−4475.00 | −0.540394 | |||||||||
− | 2300.91i | − | 0.271846i | |||||||
2835.98 | − | 2631.01i | 0.327897 | − | 0.304199i | |||||
−1489.32 | −0.168551 | |||||||||
− | 6016.20i | − | 0.666615i | |||||||
1108.03 | + | 1194.35i | 0.120229 | + | 0.129595i | |||||
−16341.1 | −1.73675 | −0.868375 | − | 0.495908i | ||||||
−0.868375 | + | 0.495908i | ||||||||
970.151i | 0.101015i | |||||||||
9954.14 | + | 747.452i | 1.01563 | + | 0.0762629i | |||||
13426.2 | 1.34262 | |||||||||
5191.39i | 0.508910i | 0.967085 | + | 0.254455i | ||||||
−0.967085 | + | 0.254455i | ||||||||
−1202.61 | + | 1115.69i | −0.115591 | + | 0.107237i | |||||
9498.09 | 0.895286 | 0.447643 | − | 0.894212i | ||||||
0.447643 | + | 0.894212i | ||||||||
− | 5467.41i | − | 0.505492i | |||||||
5440.61 | + | 5864.46i | 0.493479 | + | 0.531924i | |||||
−4432.35 | −0.394477 | |||||||||
− | 3676.19i | − | 0.321093i | −0.987028 | − | 0.160546i | ||||
0.987028 | − | 0.160546i | ||||||||
3635.17 | + | 4560.45i | 0.311657 | + | 0.390985i | |||||
−11597.2 | −0.976113 | −0.488056 | − | 0.872812i | ||||||
−0.488056 | + | 0.872812i | ||||||||
16728.5i | 1.38252i | |||||||||
13977.8 | − | 12967.6i | 1.13447 | − | 1.05248i | |||||
−1185.30 | −0.0944911 | |||||||||
− | 1074.40i | − | 0.0841413i | −0.999115 | − | 0.0420706i | ||||
0.999115 | − | 0.0420706i | ||||||||
2170.30 | + | 2339.38i | 0.166998 | + | 0.180008i | |||||
13803.3 | 1.04373 | |||||||||
− | 754.220i | − | 0.0560508i | |||||||
1465.51 | − | 19516.9i | 0.107058 | − | 1.42573i | |||||
−16478.6 | −1.18347 | |||||||||
− | 1193.49i | − | 0.0842802i | |||||||
−7164.99 | + | 6647.15i | −0.497569 | + | 0.461607i | |||||
−546.261 | −0.0373103 | |||||||||
− | 14015.0i | − | 0.941613i | |||||||
−7469.08 | − | 8050.96i | −0.493693 | − | 0.532154i | |||||
−3438.64 | −0.223637 | |||||||||
50549.6i | 3.23517i | |||||||||
−4231.13 | − | 317.714i | −0.266511 | − | 0.0200122i | |||||
−19449.2 | −1.20585 | −0.602927 | − | 0.797797i | ||||||
−0.602927 | + | 0.797797i | ||||||||
− | 1448.15i | − | 0.0883883i | |||||||
6440.93 | − | 5975.42i | 0.387052 | − | 0.359078i | |||||
32799.3 | 1.94079 | |||||||||
− | 14919.5i | − | 0.869382i | −0.900580 | − | 0.434691i | ||||
0.900580 | − | 0.434691i | ||||||||
−6034.71 | − | 6504.85i | −0.346345 | − | 0.373327i | |||||
−2321.64 | −0.131248 | |||||||||
− | 3736.67i | − | 0.208102i | |||||||
−27358.5 | + | 21807.6i | −1.50115 | + | 1.19658i | |||||
1458.17 | 0.0788369 | |||||||||
19699.7i | 1.04959i | 0.851229 | + | 0.524795i | ||||||
−0.851229 | + | 0.524795i | ||||||||
−5367.37 | + | 4979.44i | −0.281840 | + | 0.261471i | |||||
22226.3 | 1.15037 | 0.575184 | − | 0.818024i | ||||||
0.575184 | + | 0.818024i | ||||||||
− | 7110.67i | − | 0.362789i | |||||||
3223.06 | + | 3474.15i | 0.162118 | + | 0.174747i | |||||
−10515.8 | −0.521513 | |||||||||
29777.4i | 1.45618i | |||||||||
388.172 | − | 5169.45i | 0.0187197 | − | 0.249298i | |||||
4524.61 | 0.215202 | |||||||||
5721.92i | 0.268433i | |||||||||
2263.09 | − | 2099.52i | 0.104729 | − | 0.0971597i | |||||
−16948.1 | −0.773746 | |||||||||
− | 6791.29i | − | 0.305900i | −0.988234 | − | 0.152950i | ||||
0.988234 | − | 0.152950i | ||||||||
−29056.0 | − | 31319.7i | −1.29138 | − | 1.39198i | |||||
−8470.50 | −0.371497 | −0.185748 | − | 0.982597i | ||||||
−0.185748 | + | 0.982597i | ||||||||
− | 2836.51i | − | 0.122771i | |||||||
5205.19 | + | 390.856i | 0.222358 | + | 0.0166968i | |||||
6455.53 | 0.272201 | |||||||||
− | 20628.6i | − | 0.858630i | |||||||
−12753.9 | + | 11832.1i | −0.524076 | + | 0.486199i | |||||
−13638.2 | −0.553297 | −0.276649 | − | 0.960971i | ||||||
−0.276649 | + | 0.960971i | ||||||||
13327.2i | 0.533855i | |||||||||
9592.14 | + | 10339.4i | 0.379421 | + | 0.408980i | |||||
8687.57 | 0.339358 | |||||||||
− | 5326.67i | − | 0.205496i | |||||||
2771.30 | − | 18349.2i | 0.105597 | − | 0.699178i | |||||
−38643.6 | −1.45446 | −0.727232 | − | 0.686392i | ||||||
−0.727232 | + | 0.686392i | ||||||||
9761.81i | 0.362946i | |||||||||
39023.0 | − | 36202.6i | 1.43335 | − | 1.32976i | |||||
12504.1 | 0.453771 | |||||||||
33982.6i | 1.21850i | 0.792980 | + | 0.609248i | ||||||
−0.792980 | + | 0.609248i | ||||||||
2565.13 | + | 2764.96i | 0.0908846 | + | 0.0979650i | |||||
29822.8 | 1.04418 | |||||||||
8747.64i | 0.302686i | |||||||||
760.313 | − | 10125.4i | 0.0260016 | − | 0.346275i | |||||
−7809.65 | −0.263982 | |||||||||
12224.7i | 0.408457i | 0.978923 | + | 0.204229i | ||||||
−0.978923 | + | 0.204229i | ||||||||
−1759.38 | + | 1632.22i | −0.0581115 | + | 0.0539115i | |||||
31082.2 | 1.01493 | |||||||||
7887.14i | 0.254621i | |||||||||
35661.8 | + | 38440.0i | 1.13830 | + | 1.22698i | |||||
23992.7 | 0.757251 | |||||||||
− | 53278.8i | − | 1.66283i | −0.555651 | − | 0.831416i | ||||
0.555651 | − | 0.831416i | ||||||||
31011.8 | + | 2328.67i | 0.957156 | + | 0.0718724i | |||||
19789.7 | 0.604064 | 0.302032 | − | 0.953298i | ||||||
0.302032 | + | 0.953298i | ||||||||
− | 12657.2i | − | 0.382116i | |||||||
−32693.0 | + | 30330.1i | −0.976230 | + | 0.905673i | |||||
6507.95 | 0.192224 | |||||||||
− | 101673.i | − | 2.97072i | |||||||
7441.63 | + | 8021.37i | 0.215101 | + | 0.231858i | |||||
−7941.68 | −0.227106 | |||||||||
− | 4212.42i | − | 0.119183i | |||||||
8415.54 | + | 10557.6i | 0.235591 | + | 0.295557i | |||||
17016.4 | 0.471368 | |||||||||
22349.2i | 0.612626i | 0.951931 | + | 0.306313i | ||||||
−0.951931 | + | 0.306313i | ||||||||
−3378.14 | + | 3133.98i | −0.0916378 | + | 0.0850148i | |||||
−55747.5 | −1.49662 | −0.748308 | − | 0.663351i | ||||||
−0.748308 | + | 0.663351i | ||||||||
− | 46219.5i | − | 1.22807i | |||||||
−70981.7 | − | 76511.6i | −1.86671 | − | 2.01214i | |||||
−2744.00 | −0.0714286 | |||||||||
− | 3307.33i | − | 0.0852208i | −0.999092 | − | 0.0426104i | ||||
0.999092 | − | 0.0426104i | ||||||||
−2114.11 | + | 28154.6i | −0.0539260 | + | 0.718155i | |||||
31962.3 | 0.807107 | 0.403554 | − | 0.914956i | ||||||
0.403554 | + | 0.914956i | ||||||||
37975.2i | 0.949379i | |||||||||
−8716.61 | + | 8086.62i | −0.215752 | + | 0.200159i | |||||
−14683.5 | −0.359854 | |||||||||
− | 1746.04i | − | 0.0423704i | |||||||
−3155.65 | − | 3401.49i | −0.0758279 | − | 0.0817352i | |||||
−58561.7 | −1.39350 | |||||||||
26864.7i | 0.633063i | |||||||||
23231.3 | + | 1744.43i | 0.542166 | + | 0.0407110i | |||||
15464.2 | 0.357437 | |||||||||
15448.6i | 0.353668i | |||||||||
−16587.2 | + | 15388.4i | −0.376127 | + | 0.348942i | |||||
8820.58 | 0.198122 | 0.0990609 | − | 0.995081i | ||||||
0.0990609 | + | 0.995081i | ||||||||
− | 12536.6i | − | 0.278937i | |||||||
22757.5 | + | 24530.4i | 0.501608 | + | 0.540686i | |||||
10397.8 | 0.227047 | |||||||||
− | 46850.6i | − | 1.01353i | |||||||
−12898.9 | + | 10281.8i | −0.276468 | + | 0.220375i | |||||
−7960.55 | −0.169053 | |||||||||
− | 32801.8i | − | 0.690216i | |||||||
13347.6 | − | 12382.9i | 0.278302 | − | 0.258188i | |||||
−47315.5 | −0.977592 | |||||||||
15571.1i | 0.318812i | |||||||||
36677.8 | + | 39535.2i | 0.744214 | + | 0.802191i | |||||
−52110.8 | −1.04790 | −0.523948 | − | 0.851750i | ||||||
−0.523948 | + | 0.851750i | ||||||||
− | 3352.53i | − | 0.0668153i | |||||||
−10179.1 | + | 135559.i | −0.201068 | + | 2.67771i | |||||
3038.86 | 0.0594969 | |||||||||
60377.1i | 1.17171i | 0.810415 | + | 0.585856i | ||||||
−0.810415 | + | 0.585856i | ||||||||
−6616.77 | + | 6138.55i | −0.127285 | + | 0.118085i | |||||
3035.47 | 0.0578835 | 0.0289418 | − | 0.999581i | ||||||
0.0289418 | + | 0.999581i | ||||||||
39041.6i | 0.738026i | |||||||||
−13970.6 | − | 15058.9i | −0.261812 | − | 0.282208i | |||||
2133.26 | 0.0396339 | |||||||||
34594.5i | 0.637228i | 0.947885 | + | 0.318614i | ||||||
−0.947885 | + | 0.318614i | ||||||||
55202.1 | + | 4145.10i | 1.00815 | + | 0.0757013i | |||||
25270.6 | 0.457593 | |||||||||
− | 46608.6i | − | 0.836840i | |||||||
31088.5 | − | 28841.6i | 0.553482 | − | 0.513479i | |||||
3375.70 | 0.0595951 | |||||||||
− | 78309.8i | − | 1.37095i | −0.728098 | − | 0.685473i | ||||
0.728098 | − | 0.685473i | ||||||||
−18801.0 | − | 20265.7i | −0.326406 | − | 0.351834i | |||||
28362.2 | 0.488322 | 0.244161 | − | 0.969735i | ||||||
0.244161 | + | 0.969735i | ||||||||
− | 1545.06i | − | 0.0263824i | |||||||
−48801.0 | + | 33245.3i | −0.826449 | + | 0.563012i | |||||
39640.3 | 0.665821 | |||||||||
− | 16461.4i | − | 0.274243i | |||||||
22771.5 | − | 21125.7i | 0.376290 | − | 0.349094i | |||||
30289.7 | 0.496479 | |||||||||
− | 9725.93i | − | 0.158135i | |||||||
−27060.4 | − | 29168.6i | −0.436452 | − | 0.470453i | |||||
−142976. | −2.28761 | |||||||||
89655.5i | 1.42308i | 0.702646 | + | 0.711540i | ||||||
−0.702646 | + | 0.711540i | ||||||||
898.630 | − | 11967.4i | 0.0141508 | − | 0.188452i | |||||
−35444.5 | −0.553742 | |||||||||
− | 55010.7i | − | 0.852667i | |||||||
20405.8 | − | 18931.0i | 0.313814 | − | 0.291134i | |||||
4096.00 | 0.0625000 | |||||||||
− | 12337.1i | − | 0.186787i | −0.995629 | − | 0.0933933i | ||||
0.995629 | − | 0.0933933i | ||||||||
16901.0 | + | 18217.7i | 0.253906 | + | 0.273687i | |||||
−39235.5 | −0.584897 | |||||||||
92770.5i | 1.37234i | |||||||||
7615.04 | + | 571.810i | 0.111787 | + | 0.00839404i | |||||
42198.6 | 0.614746 | |||||||||
39803.9i | 0.575458i | 0.957712 | + | 0.287729i | ||||||
−0.957712 | + | 0.287729i | ||||||||
18398.5 | − | 17068.7i | 0.263982 | − | 0.244903i | |||||
75207.7 | 1.07095 | |||||||||
− | 6566.60i | − | 0.0928063i | |||||||
−51923.2 | − | 55968.3i | −0.728349 | − | 0.785091i | |||||
10568.9 | 0.147150 | |||||||||
38209.6i | 0.528042i | 0.964517 | + | 0.264021i | ||||||
−0.964517 | + | 0.264021i | ||||||||
−61681.3 | − | 77381.4i | −0.846108 | − | 1.06147i | |||||
134877. | 1.83653 | 0.918267 | − | 0.395961i | ||||||
0.918267 | + | 0.395961i | ||||||||
4124.32i | 0.0557461i | |||||||||
−29525.7 | + | 27391.8i | −0.396164 | + | 0.367532i | |||||
−55719.3 | −0.742172 | |||||||||
− | 206826.i | − | 2.73488i | |||||||
−14084.0 | − | 15181.2i | −0.184888 | − | 0.199291i | |||||
134803. | 1.75688 | 0.878438 | − | 0.477856i | ||||||
0.878438 | + | 0.477856i | ||||||||
62865.4i | 0.813434i | |||||||||
2606.99 | − | 34718.4i | 0.0334913 | − | 0.446017i | |||||
20112.0 | 0.256531 | |||||||||
− | 3288.42i | − | 0.0416462i | −0.999783 | − | 0.0208231i | ||||
0.999783 | − | 0.0208231i | ||||||||
−9826.39 | + | 9116.20i | −0.123565 | + | 0.114635i | |||||
−129266. | −1.61403 | −0.807016 | − | 0.590529i | ||||||
−0.807016 | + | 0.590529i | ||||||||
− | 29743.1i | − | 0.368765i | |||||||
−36825.5 | − | 39694.4i | −0.453377 | − | 0.488697i | |||||
−84223.1 | −1.02967 | |||||||||
22598.9i | 0.274362i | |||||||||
14621.4 | + | 1097.92i | 0.176280 | + | 0.0132368i | |||||
79368.2 | 0.950278 | |||||||||
12797.5i | 0.152171i | |||||||||
−107817. | + | 100025.i | −1.27322 | + | 1.18119i | |||||
−16184.0 | −0.189811 | |||||||||
− | 168398.i | − | 1.96157i | −0.195104 | − | 0.980783i | ||||
0.195104 | − | 0.980783i | ||||||||
5938.35 | + | 6400.98i | 0.0687023 | + | 0.0740545i | |||||
279608. | 3.21296 | |||||||||
− | 47936.5i | − | 0.547121i | |||||||
70251.9 | − | 55998.3i | 0.796425 | − | 0.634836i | |||||
19208.7 | 0.216304 | |||||||||
69495.3i | 0.777344i | |||||||||
88585.4 | − | 82182.9i | 0.984282 | − | 0.913143i | |||||
−18079.6 | −0.199552 | |||||||||
− | 23958.2i | − | 0.262688i | |||||||
31776.8 | + | 34252.4i | 0.346119 | + | 0.373083i | |||||
8022.85 | 0.0868123 | |||||||||
237805.i | 2.55635i | |||||||||
−1105.51 | + | 14722.5i | −0.0118064 | + | 0.157231i | |||||
−44393.8 | −0.471027 | −0.235514 | − | 0.971871i | ||||||
−0.235514 | + | 0.971871i | ||||||||
18259.0i | 0.192475i | |||||||||
62667.7 | − | 58138.4i | 0.656336 | − | 0.608900i | |||||
58346.5 | 0.607143 | |||||||||
146724.i | 1.51699i | 0.651681 | + | 0.758493i | ||||||
−0.651681 | + | 0.758493i | ||||||||
−33466.3 | − | 36073.5i | −0.343795 | − | 0.370578i | |||||
−54255.1 | −0.553799 | −0.276899 | − | 0.960899i | ||||||
−0.276899 | + | 0.960899i | ||||||||
− | 38574.7i | − | 0.391240i | |||||||
71793.4 | + | 5390.94i | 0.723542 | + | 0.0543304i | |||||
−37694.9 | −0.377493 | |||||||||
130350.i | 1.29715i | 0.761149 | + | 0.648577i | ||||||
−0.761149 | + | 0.648577i | ||||||||
−29244.3 | + | 27130.7i | −0.289192 | + | 0.268291i | |||||
−11618.4 | −0.114174 | |||||||||
24572.2i | 0.239963i | |||||||||
−22502.2 | − | 24255.2i | −0.218381 | − | 0.235394i | |||||
15066.1 | 0.145308 | |||||||||
8078.32i | 0.0774312i | |||||||||
51899.4 | + | 7838.41i | 0.494393 | + | 0.0746686i | |||||
−405519. | −3.83923 | |||||||||
− | 109301.i | − | 1.02846i | |||||||
−76517.4 | + | 70987.2i | −0.715591 | + | 0.663872i | |||||
−27610.6 | −0.256642 | |||||||||
− | 9751.89i | − | 0.0900943i | |||||||
102396. | + | 110374.i | 0.940280 | + | 1.01353i | |||||
−35032.0 | −0.319749 | −0.159875 | − | 0.987137i | ||||||
−0.159875 | + | 0.987137i | ||||||||
35367.0i | 0.320865i | |||||||||
12849.2 | − | 171118.i | 0.115874 | − | 1.54315i | |||||
−96117.4 | −0.861607 | |||||||||
63403.6i | 0.564968i | |||||||||
−7820.50 | + | 7255.27i | −0.0692717 | + | 0.0642651i | |||||
−184305. | −1.62285 | −0.811423 | − | 0.584459i | ||||||
−0.811423 | + | 0.584459i | ||||||||
84351.7i | 0.738347i | |||||||||
−6576.47 | − | 7088.81i | −0.0572260 | − | 0.0616842i | |||||
−24742.1 | −0.214032 | |||||||||
52970.7i | 0.455541i | |||||||||
28639.0 | + | 2150.49i | 0.244853 | + | 0.0183859i | |||||
−6352.45 | −0.0539949 | |||||||||
− | 22089.0i | − | 0.186664i | |||||||
91073.0 | − | 84490.8i | 0.765159 | − | 0.709858i | |||||
−34576.7 | −0.288823 | |||||||||
− | 15320.3i | − | 0.127235i | −0.997974 | − | 0.0636176i | ||||
0.997974 | − | 0.0636176i | ||||||||
−4616.63 | − | 4976.29i | −0.0381212 | − | 0.0410910i | |||||
85296.5 | 0.700294 | 0.350147 | − | 0.936695i | ||||||
0.350147 | + | 0.936695i | ||||||||
87913.7i | 0.717663i | |||||||||
−109795. | − | 137741.i | −0.891184 | − | 1.11802i | |||||
−22308.2 | −0.180044 | |||||||||
− | 120060.i | − | 0.963493i | −0.876311 | − | 0.481746i | ||||
0.876311 | − | 0.481746i | ||||||||
−108725. | + | 100867.i | −0.867605 | + | 0.804899i | |||||
178431. | 1.41584 | |||||||||
67861.7i | 0.535457i | |||||||||
−7305.44 | − | 7874.57i | −0.0573205 | − | 0.0617860i | |||||
150695. | 1.17580 | |||||||||
− | 164672.i | − | 1.27771i | −0.769328 | − | 0.638854i | ||||
0.769328 | − | 0.638854i | ||||||||
−6586.46 | + | 87714.7i | −0.0508215 | + | 0.676811i | |||||
−114607. | −0.879418 | |||||||||
55973.8i | 0.427138i | |||||||||
−3604.19 | + | 3343.70i | −0.0273523 | + | 0.0253754i | |||||
35800.0 | 0.270197 | |||||||||
− | 97089.1i | − | 0.728760i | |||||||
−85786.5 | − | 92469.7i | −0.640408 | − | 0.690299i | |||||
179523. | 1.33287 | 0.666435 | − | 0.745563i | ||||||
0.666435 | + | 0.745563i | ||||||||
18407.3i | 0.135923i | |||||||||
−98560.8 | − | 7400.89i | −0.723855 | − | 0.0543540i | |||||
287574. | 2.10062 | |||||||||
− | 29022.6i | − | 0.210857i | |||||||
−22687.9 | + | 21048.1i | −0.163949 | + | 0.152099i | |||||
154860. | 1.11307 | 0.556534 | − | 0.830825i | ||||||
0.556534 | + | 0.830825i | ||||||||
− | 22462.4i | − | 0.160588i | |||||||
309417. | + | 333522.i | 2.20030 | + | 2.37171i | |||||
11914.5 | 0.0842755 | |||||||||
22780.0i | 0.160277i | |||||||||
−29861.4 | + | 23802.7i | −0.208991 | + | 0.166588i | |||||
−241643. | −1.68227 | −0.841135 | − | 0.540826i | ||||||
−0.841135 | + | 0.540826i | ||||||||
48129.6i | 0.333307i | |||||||||
−128324. | + | 119050.i | −0.884014 | + | 0.820123i | |||||
−63213.1 | −0.433192 | |||||||||
95222.8i | 0.649147i | 0.945860 | + | 0.324574i | ||||||
−0.945860 | + | 0.324574i | ||||||||
−8864.25 | − | 9554.81i | −0.0601145 | − | 0.0647977i | |||||
−109537. | −0.738990 | |||||||||
− | 157678.i | − | 1.05827i | |||||||
5920.87 | − | 78850.7i | 0.0395333 | − | 0.526482i | |||||
130729. | 0.868375 | |||||||||
− | 224301.i | − | 1.48228i | −0.671349 | − | 0.741142i | ||||
0.671349 | − | 0.741142i | ||||||||
216407. | − | 200767.i | 1.42280 | − | 1.31997i | |||||
−18534.5 | −0.121235 | |||||||||
− | 7761.20i | − | 0.0505076i | |||||||
−91323.0 | − | 98437.5i | −0.591283 | − | 0.637347i | |||||
9354.55 | 0.0602602 | |||||||||
− | 226134.i | − | 1.44935i | |||||||
−79633.1 | − | 5979.62i | −0.507813 | − | 0.0381314i | |||||
−79675.1 | −0.505524 | −0.252762 | − | 0.967528i | ||||||
−0.252762 | + | 0.967528i | ||||||||
90402.9i | 0.570711i | |||||||||
−15318.0 | + | 14210.9i | −0.0962182 | + | 0.0892641i | |||||
−107410. | −0.671312 | |||||||||
− | 87504.0i | − | 0.544176i | −0.962272 | − | 0.272088i | ||||
0.962272 | − | 0.272088i | ||||||||
−22872.4 | − | 24654.3i | −0.141534 | − | 0.152560i | |||||
103859. | 0.639488 | |||||||||
− | 41531.1i | − | 0.254455i | |||||||
−47023.1 | + | 311348.i | −0.286683 | + | 1.89817i | |||||
4938.56 | 0.0299604 | |||||||||
261079.i | 1.57610i | |||||||||
9620.88 | − | 8925.53i | 0.0577955 | − | 0.0536184i | |||||
260159. | 1.55522 | 0.777612 | − | 0.628745i | ||||||
0.777612 | + | 0.628745i | ||||||||
− | 165637.i | − | 0.985351i | |||||||
120583. | + | 129977.i | 0.713845 | + | 0.769457i | |||||
−75984.7 | −0.447643 | |||||||||
− | 107900.i | − | 0.632591i | |||||||
−4933.99 | + | 65708.0i | −0.0287871 | + | 0.383369i | |||||
−212169. | −1.23193 | |||||||||
43739.2i | 0.252746i | |||||||||
146647. | − | 136048.i | 0.843338 | − | 0.782387i | |||||
−43695.2 | −0.250081 | |||||||||
− | 222361.i | − | 1.26658i | −0.773916 | − | 0.633288i | ||||
0.773916 | − | 0.633288i | ||||||||
−43524.9 | − | 46915.7i | −0.246740 | − | 0.265962i | |||||
274759. | 1.55020 | 0.775100 | − | 0.631838i | ||||||
0.775100 | + | 0.631838i | ||||||||
24948.4i | 0.140093i | |||||||||
42531.0 | + | 3193.64i | 0.237698 | + | 0.0178486i | |||||
35458.8 | 0.197239 | |||||||||
− | 108153.i | − | 0.598769i | |||||||
−69382.4 | + | 64367.8i | −0.382323 | + | 0.354690i | |||||
91768.6 | 0.503313 | |||||||||
29409.5i | 0.160546i | |||||||||
182269. | + | 196469.i | 0.990372 | + | 1.06753i | |||||
132513. | 0.716676 | |||||||||
79239.0i | 0.426564i | 0.976991 | + | 0.213282i | ||||||
−0.976991 | + | 0.213282i | ||||||||
−29081.4 | − | 36483.6i | −0.155829 | − | 0.195493i | |||||
−56355.8 | −0.300582 | −0.150291 | − | 0.988642i | ||||||
−0.150291 | + | 0.988642i | ||||||||
− | 22515.8i | − | 0.119539i | |||||||
29853.1 | − | 27695.4i | 0.157765 | − | 0.146363i | |||||
92777.6 | 0.488056 | |||||||||
36054.4i | 0.188797i | |||||||||
35024.3 | + | 37752.8i | 0.182566 | + | 0.196789i | |||||
−83094.4 | −0.431164 | −0.215582 | − | 0.976486i | ||||||
−0.215582 | + | 0.976486i | ||||||||
− | 133828.i | − | 0.691262i | |||||||
2080.36 | − | 27705.0i | 0.0106970 | − | 0.142456i | |||||
−44041.7 | −0.225434 | |||||||||
139917.i | 0.712955i | 0.934304 | + | 0.356477i | ||||||
−0.934304 | + | 0.356477i | ||||||||
−111822. | + | 103741.i | −0.567235 | + | 0.526238i | |||||
−407107. | −2.05584 | |||||||||
− | 147392.i | − | 0.740974i | |||||||
−41569.9 | − | 44808.4i | −0.208048 | − | 0.224256i | |||||
9482.37 | 0.0472456 | |||||||||
100269.i | 0.497361i | 0.968586 | + | 0.248681i | ||||||
−0.968586 | + | 0.248681i | ||||||||
−383419. | − | 28790.8i | −1.89343 | − | 0.142177i | |||||
150376. | 0.739310 | |||||||||
8595.20i | 0.0420706i | |||||||||
−55887.7 | + | 51848.4i | −0.272345 | + | 0.252662i | |||||
−170772. | −0.828525 | |||||||||
214767.i | 1.03739i | |||||||||
−17362.4 | − | 18715.0i | −0.0834989 | − | 0.0900039i | |||||
−82991.3 | −0.397375 | −0.198687 | − | 0.980063i | ||||||
−0.198687 | + | 0.980063i | ||||||||
8585.60i | 0.0409298i | |||||||||
36735.9 | − | 29282.5i | 0.174367 | − | 0.138990i | |||||
−110426. | −0.521863 | |||||||||
− | 321734.i | − | 1.51389i | −0.653478 | − | 0.756946i | ||||
0.653478 | − | 0.756946i | ||||||||
42593.1 | − | 39514.7i | 0.199552 | − | 0.185129i | |||||
−102874. | −0.479894 | −0.239947 | − | 0.970786i | ||||||
−0.239947 | + | 0.970786i | ||||||||
6033.76i | 0.0280254i | |||||||||
−126269. | − | 136106.i | −0.583970 | − | 0.629464i | |||||
−97847.9 | −0.450588 | |||||||||
− | 87221.5i | − | 0.399935i | −0.979803 | − | 0.199968i | ||||
0.979803 | − | 0.199968i | ||||||||
−11724.1 | + | 156135.i | −0.0535289 | + | 0.712867i | |||||
24467.4 | 0.111235 | |||||||||
71476.0i | 0.323567i | |||||||||
−89984.0 | + | 83480.4i | −0.405624 | + | 0.376308i | |||||
131829. | 0.591735 | |||||||||
120304.i | 0.537723i | |||||||||
81576.4 | + | 87931.6i | 0.363085 | + | 0.391371i | |||||
−210384. | −0.932451 | |||||||||
9547.93i | 0.0421401i | |||||||||
126576. | + | 9504.57i | 0.556309 | + | 0.0417730i | |||||
221494. | 0.969406 | |||||||||
131399.i | 0.572691i | 0.958126 | + | 0.286345i | ||||||
−0.958126 | + | 0.286345i | ||||||||
57319.9 | − | 53177.2i | 0.248784 | − | 0.230804i | |||||
511892. | 2.21252 | |||||||||
80220.5i | 0.345296i | |||||||||
−32604.9 | − | 35145.0i | −0.139762 | − | 0.150650i | |||||
4370.09 | 0.0186552 | |||||||||
784249.i | 3.33404i | |||||||||
−94031.9 | − | 138030.i | −0.398110 | − | 0.584387i | |||||
−115823. | −0.488355 | −0.244178 | − | 0.969731i | ||||||
−0.244178 | + | 0.969731i | ||||||||
112120.i | 0.470806i | |||||||||
−254968. | + | 236540.i | −1.06627 | + | 0.989207i | |||||
46560.0 | 0.193919 | |||||||||
455525.i | 1.88951i | 0.327775 | + | 0.944756i | ||||||
−0.327775 | + | 0.944756i | ||||||||
59752.6 | + | 64407.6i | 0.246846 | + | 0.266077i | |||||
−6075.48 | −0.0249969 | |||||||||
85672.2i | 0.351064i | |||||||||
35872.1 | − | 477724.i | 0.146402 | − | 1.94970i | |||||
27509.1 | 0.111818 | |||||||||
− | 68856.3i | − | 0.278760i | |||||||
82501.2 | − | 76538.5i | 0.332661 | − | 0.308618i | |||||
−353733. | −1.42061 | −0.710305 | − | 0.703894i | ||||||
−0.710305 | + | 0.703894i | ||||||||
− | 404397.i | − | 1.61759i | |||||||
208010. | + | 224215.i | 0.828721 | + | 0.893282i | |||||
−253584. | −1.00627 | |||||||||
− | 424746.i | − | 1.67878i | −0.543530 | − | 0.839390i | ||||
0.543530 | − | 0.839390i | ||||||||
33849.0 | + | 2541.71i | 0.133255 | + | 0.0100061i | |||||
249148. | 0.976954 | |||||||||
− | 100252.i | − | 0.391555i | |||||||
196769. | − | 182548.i | 0.765492 | − | 0.710166i | |||||
155594. | 0.602927 | |||||||||
49005.7i | 0.189152i | 0.995518 | + | 0.0945760i | ||||||
−0.995518 | + | 0.0945760i | ||||||||
53544.8 | + | 57716.3i | 0.205863 | + | 0.221900i | |||||
−37466.6 | −0.143484 | |||||||||
11585.2i | 0.0441942i | |||||||||
−56961.8 | − | 71460.6i | −0.216446 | − | 0.271539i | |||||
34894.5 | 0.132078 | |||||||||
− | 455837.i | − | 1.71868i | |||||||
−51527.4 | + | 47803.3i | −0.193526 | + | 0.179539i | |||||
−64890.6 | −0.242773 | |||||||||
− | 110975.i | − | 0.413584i | |||||||
74828.2 | + | 80657.7i | 0.277799 | + | 0.299441i | |||||
−262395. | −0.970394 | |||||||||
− | 158536.i | − | 0.584054i | −0.956410 | − | 0.292027i | ||||
0.956410 | − | 0.292027i | ||||||||
−1617.32 | + | 21538.6i | −0.00593548 | + | 0.0790453i | |||||
137079. | 0.501151 | 0.250575 | − | 0.968097i | ||||||
0.250575 | + | 0.968097i | ||||||||
119356.i | 0.434691i | |||||||||
205078. | − | 190256.i | 0.744047 | − | 0.690272i | |||||
−112582. | −0.406910 | |||||||||
27699.3i | 0.0997349i | |||||||||
48277.7 | + | 52038.8i | 0.173172 | + | 0.186663i | |||||
197120. | 0.704398 | |||||||||
212719.i | 0.757278i | |||||||||
470588. | + | 35336.2i | 1.66898 | + | 0.125323i | |||||
18573.2 | 0.0656240 | |||||||||
− | 294840.i | − | 1.03784i | |||||||
158302. | − | 146861.i | 0.555143 | − | 0.515020i | |||||
−176430. | −0.616402 | |||||||||
29893.4i | 0.104051i | |||||||||
−326123. | − | 351529.i | −1.13092 | − | 1.21903i | |||||
−108073. | −0.373382 | |||||||||
42270.2i | 0.145498i | |||||||||
218868. | − | 174461.i | 0.750575 | − | 0.598289i | |||||
−171295. | −0.585263 | −0.292632 | − | 0.956225i | ||||||
−0.292632 | + | 0.956225i | ||||||||
381490.i | 1.29863i | |||||||||
130571. | − | 121134.i | 0.442841 | − | 0.410835i | |||||
−11665.3 | −0.0394185 | |||||||||
556578.i | 1.87384i | |||||||||
−77475.7 | − | 83511.4i | −0.259884 | − | 0.280130i | |||||
−131375. | −0.439075 | −0.219537 | − | 0.975604i | ||||||
−0.219537 | + | 0.975604i | ||||||||
− | 157598.i | − | 0.524795i | |||||||
−30053.2 | + | 400231.i | −0.0997117 | + | 1.32790i | |||||
584991. | 1.93386 | |||||||||
11818.3i | 0.0389272i | |||||||||
42938.9 | − | 39835.6i | 0.140920 | − | 0.130735i | |||||
−87264.9 | −0.285358 | |||||||||
381281.i | 1.24230i | |||||||||
−622346. | − | 670830.i | −2.02044 | − | 2.17784i | |||||
−177810. | −0.575184 | |||||||||
− | 256492.i | − | 0.826729i | −0.910566 | − | 0.413365i | ||||
0.910566 | − | 0.413365i | ||||||||
98198.6 | + | 7373.69i | 0.315382 | + | 0.0236819i | |||||
235878. | 0.754856 | |||||||||
56885.4i | 0.181395i | |||||||||
−52398.6 | + | 48611.5i | −0.166492 | + | 0.154459i | |||||
9301.07 | 0.0294483 | |||||||||
− | 167229.i | − | 0.527587i | −0.964579 | − | 0.263794i | ||||
0.964579 | − | 0.263794i | ||||||||
−25784.5 | − | 27793.2i | −0.0810589 | − | 0.0873737i | |||||
−51563.2 | −0.161526 | |||||||||
− | 365620.i | − | 1.14129i | |||||||
120149. | + | 18146.2i | 0.373726 | + | 0.0564441i | |||||
84126.3 | 0.260757 | |||||||||
227471.i | 0.702591i | 0.936265 | + | 0.351295i | ||||||
−0.936265 | + | 0.351295i | ||||||||
112273. | − | 104158.i | 0.345561 | − | 0.320586i | |||||
162502. | 0.498409 | 0.249205 | − | 0.968451i | ||||||
0.249205 | + | 0.968451i | ||||||||
− | 238219.i | − | 0.728088i | |||||||
136801. | + | 147458.i | 0.416658 | + | 0.449118i | |||||
−63919.3 | −0.194003 | |||||||||
− | 482696.i | − | 1.45995i | |||||||
−3105.37 | + | 41355.6i | −0.00935985 | + | 0.124649i | |||||
159511. | 0.479113 | 0.239557 | − | 0.970882i | ||||||
0.239557 | + | 0.970882i | ||||||||
224487.i | 0.671948i | |||||||||
−367817. | + | 341234.i | −1.09717 | + | 1.01788i | |||||
−36196.9 | −0.107601 | |||||||||
81875.7i | 0.242551i | |||||||||
−282913. | − | 304953.i | −0.835231 | − | 0.900299i | |||||
−193120. | −0.568187 | |||||||||
− | 45775.4i | − | 0.134217i | |||||||
−936664. | − | 70333.7i | −2.73698 | − | 0.205519i | |||||
476303. | 1.38704 | |||||||||
207293.i | 0.601601i | 0.953687 | + | 0.300801i | ||||||
−0.953687 | + | 0.300801i | ||||||||
−18104.7 | + | 16796.2i | −0.0523645 | + | 0.0485799i | |||||
53882.1 | 0.155315 | |||||||||
790851.i | 2.27191i | |||||||||
−20244.4 | − | 21821.5i | −0.0579602 | − | 0.0624756i | |||||
135585. | 0.386873 | |||||||||
− | 373791.i | − | 1.06297i | −0.847069 | − | 0.531483i | ||||
0.847069 | − | 0.531483i | ||||||||
158387. | + | 198702.i | 0.448897 | + | 0.563158i | |||||
−57278.7 | −0.161793 | |||||||||
54330.3i | 0.152950i | |||||||||
210884. | − | 195643.i | 0.591692 | − | 0.548928i | |||||
−196562. | −0.549665 | |||||||||
153142.i | 0.426815i | 0.976963 | + | 0.213408i | ||||||
−0.976963 | + | 0.213408i | ||||||||
232448. | + | 250557.i | 0.645690 | + | 0.695992i | |||||
352527. | 0.975987 | 0.487993 | − | 0.872847i | ||||||
0.487993 | + | 0.872847i | ||||||||
− | 51136.8i | − | 0.141104i | |||||||
−8012.79 | + | 106710.i | −0.0220368 | + | 0.293474i | |||||
67764.0 | 0.185748 | |||||||||
26216.4i | 0.0716247i | |||||||||
−96880.4 | + | 89878.4i | −0.263810 | + | 0.244743i | |||||
179592. | 0.487427 | 0.243714 | − | 0.969847i | ||||||
0.243714 | + | 0.969847i | ||||||||
22692.0i | 0.0613856i | |||||||||
−10687.6 | − | 11520.3i | −0.0288169 | − | 0.0310619i | |||||
−672613. | −1.80761 | |||||||||
127230.i | 0.340805i | |||||||||
−41641.5 | − | 3126.84i | −0.111179 | − | 0.00834840i | |||||
235777. | 0.627452 | 0.313726 | − | 0.949513i | ||||||
0.313726 | + | 0.949513i | ||||||||
− | 125565.i | − | 0.333067i | |||||||
−386386. | + | 358460.i | −1.02158 | + | 0.947742i | |||||
−51644.2 | −0.136101 | |||||||||
477167.i | 1.25343i | 0.779248 | + | 0.626716i | ||||||
−0.779248 | + | 0.626716i | ||||||||
164440. | + | 177251.i | 0.430557 | + | 0.464100i | |||||
51174.4 | 0.133559 | 0.0667793 | − | 0.997768i | ||||||
0.0667793 | + | 0.997768i | ||||||||
165029.i | 0.429315i | |||||||||
163956. | − | 130691.i | 0.425152 | − | 0.338892i | |||||
−414999. | −1.07267 | |||||||||
157102.i | 0.404768i | |||||||||
102031. | − | 94657.1i | 0.262038 | − | 0.243099i | |||||
1.37708e6 | 3.52532 | |||||||||
− | 153457.i | − | 0.391595i | |||||||
94561.7 | + | 101929.i | 0.240536 | + | 0.259275i | |||||
109106. | 0.276649 | |||||||||
136522.i | 0.345067i | |||||||||
−15247.9 | + | 203062.i | −0.0384174 | + | 0.511621i | |||||
−570880. | −1.43379 | −0.716896 | − | 0.697180i | ||||||
−0.716896 | + | 0.697180i | ||||||||
− | 106617.i | − | 0.266928i | |||||||
58197.5 | − | 53991.3i | 0.145244 | − | 0.134746i | |||||
−368685. | −0.917226 | |||||||||
933416.i | 2.31488i | |||||||||
−76737.1 | − | 82715.3i | −0.189710 | − | 0.204490i | |||||
82878.2 | 0.204250 | |||||||||
− | 32861.9i | − | 0.0807331i | |||||||
300304. | + | 22549.7i | 0.735460 | + | 0.0552254i | |||||
−69500.6 | −0.169679 | |||||||||
− | 570798.i | − | 1.38921i | −0.719394 | − | 0.694603i | ||||
0.719394 | − | 0.694603i | ||||||||
68604.1 | − | 63645.8i | 0.166449 | − | 0.154419i | |||||
−708381. | −1.71335 | −0.856673 | − | 0.515860i | ||||||
−0.856673 | + | 0.515860i | ||||||||
42613.4i | 0.102748i | |||||||||
−286775. | − | 309116.i | −0.689322 | − | 0.743024i | |||||
−22848.9 | −0.0547521 | |||||||||
− | 61606.2i | − | 0.147169i | −0.997289 | − | 0.0735844i | ||||
0.997289 | − | 0.0735844i | ||||||||
−22170.4 | + | 146794.i | −0.0527987 | + | 0.349589i | |||||
−717986. | −1.70462 | |||||||||
− | 1.14698e6i | − | 2.71475i | |||||||
−52523.1 | + | 48727.0i | −0.123933 | + | 0.114976i | |||||
309149. | 0.727232 | |||||||||
− | 524113.i | − | 1.22913i | −0.788865 | − | 0.614567i | ||||
0.788865 | − | 0.614567i | ||||||||
−200782. | − | 216424.i | −0.469428 | − | 0.505999i | |||||
−716023. | −1.66895 | |||||||||
− | 78094.4i | − | 0.181473i | |||||||
12269.9 | − | 163403.i | 0.0284256 | − | 0.378556i | |||||
27582.5 | 0.0637063 | |||||||||
− | 234214.i | − | 0.539313i | −0.962957 | − | 0.269657i | ||||
0.962957 | − | 0.269657i | ||||||||
−312184. | + | 289621.i | −0.716676 | + | 0.664878i | |||||
−227410. | −0.520484 | −0.260242 | − | 0.965543i | ||||||
−0.260242 | + | 0.965543i | ||||||||
− | 99085.6i | − | 0.226097i | |||||||
95311.6 | + | 102737.i | 0.216830 | + | 0.233722i | |||||
−100033. | −0.226885 | |||||||||
111422.i | 0.251957i | |||||||||
483995. | + | 36343.0i | 1.09117 | + | 0.0819355i | |||||
−27115.5 | −0.0609488 | |||||||||
− | 271861.i | − | 0.609248i | |||||||
−343823. | + | 318973.i | −0.768215 | + | 0.712693i | |||||
−179332. | −0.399493 | |||||||||
− | 610642.i | − | 1.35626i | |||||||
−20521.0 | − | 22119.7i | −0.0454423 | − | 0.0489825i | |||||
203616. | 0.449553 | 0.224776 | − | 0.974410i | ||||||
0.224776 | + | 0.974410i | ||||||||
− | 521293.i | − | 1.14753i | |||||||
762605. | + | 956716.i | 1.67376 | + | 2.09979i | |||||
−238583. | −0.522090 | |||||||||
494274.i | 1.07843i | 0.842169 | + | 0.539213i | ||||||
−0.842169 | + | 0.539213i | ||||||||
20050.2 | − | 18601.1i | 0.0436173 | − | 0.0404649i | |||||
302641. | 0.656430 | |||||||||
− | 69981.1i | − | 0.151343i | |||||||
369572. | + | 398364.i | 0.796902 | + | 0.858985i | |||||
−149824. | −0.322116 | |||||||||
43360.8i | 0.0929514i | 0.998919 | + | 0.0464757i | ||||||
−0.998919 | + | 0.0464757i | ||||||||
−6082.51 | + | 81003.3i | −0.0130008 | + | 0.173137i | |||||
945440. | 2.01490 | |||||||||
− | 17967.4i | − | 0.0381802i | |||||||
20027.8 | − | 18580.3i | 0.0424345 | − | 0.0393676i | |||||
62477.2 | 0.131991 | |||||||||
378647.i | 0.797621i | |||||||||
238976. | + | 257593.i | 0.501945 | + | 0.541049i | |||||
429593. | 0.899708 | 0.449854 | − | 0.893102i | ||||||
0.449854 | + | 0.893102i | ||||||||
− | 97797.7i | − | 0.204229i | |||||||
−184353. | − | 13843.0i | −0.383870 | − | 0.0288247i | |||||
43332.2 | 0.0899689 | |||||||||
− | 1.06669e6i | − | 2.20836i | |||||||
14075.1 | − | 13057.8i | 0.0290557 | − | 0.0269557i | |||||
78634.4 | 0.161863 | |||||||||
241255.i | 0.495182i | |||||||||
211755. | + | 228252.i | 0.433390 | + | 0.467153i | |||||
−248658. | −0.507464 | |||||||||
281406.i | 0.572660i | 0.958131 | + | 0.286330i | ||||||
−0.958131 | + | 0.286330i | ||||||||
389591. | − | 310546.i | 0.790561 | − | 0.630162i | |||||
265571. | 0.537365 | |||||||||
− | 63097.1i | − | 0.127311i | |||||||
166733. | − | 154683.i | 0.335463 | − | 0.311217i | |||||
339581. | 0.681292 | |||||||||
− | 96145.9i | − | 0.192350i | |||||||
−285294. | − | 307520.i | −0.569150 | − | 0.613489i | |||||
−273533. | −0.544148 | −0.272074 | − | 0.962276i | ||||||
−0.272074 | + | 0.962276i | ||||||||
504679.i | 1.00115i | |||||||||
28578.3 | − | 380589.i | 0.0565324 | − | 0.752866i | |||||
−191942. | −0.378626 | |||||||||
123625.i | 0.243179i | |||||||||
22272.6 | − | 20662.9i | 0.0436893 | − | 0.0405317i | |||||
1.42909e6 | 2.79542 | |||||||||
426230.i | 0.831416i | |||||||||
−479339. | − | 516682.i | −0.932405 | − | 1.00504i | |||||
465763. | 0.903475 | |||||||||
− | 886466.i | − | 1.71476i | −0.514681 | − | 0.857381i | ||||
0.514681 | − | 0.857381i | ||||||||
−248095. | − | 18629.3i | −0.478578 | − | 0.0359362i | |||||
−175907. | −0.338386 | |||||||||
− | 324156.i | − | 0.621842i | |||||||
187132. | − | 173607.i | 0.357990 | − | 0.332117i | |||||
−158318. | −0.302032 | |||||||||
− | 158224.i | − | 0.301021i | |||||||
−9457.40 | − | 10194.2i | −0.0179431 | − | 0.0193410i | |||||
541251. | 1.02407 | 0.512036 | − | 0.858964i | ||||||
0.512036 | + | 0.858964i | ||||||||
101258.i | 0.191058i | |||||||||
−118489. | + | 518064.i | −0.222957 | + | 0.974828i | |||||
274609. | 0.515311 | |||||||||
62909.1i | 0.117728i | |||||||||
261544. | − | 242641.i | 0.488115 | − | 0.452837i | |||||
−698311. | −1.29969 | −0.649846 | − | 0.760066i | ||||||
−0.649846 | + | 0.760066i | ||||||||
507768.i | 0.942482i | |||||||||
−100761. | − | 108611.i | −0.186518 | − | 0.201048i | |||||
−52063.6 | −0.0961122 | |||||||||
− | 162810.i | − | 0.299740i | |||||||
20932.9 | − | 278772.i | 0.0384341 | − | 0.511843i | |||||
−584503. | −1.07028 | −0.535140 | − | 0.844763i | ||||||
−0.535140 | + | 0.844763i | ||||||||
813383.i | 1.48536i | |||||||||
199849. | − | 185405.i | 0.363970 | − | 0.337665i | |||||
82088.2 | 0.149098 | |||||||||
− | 1.06823e6i | − | 1.93503i | −0.252822 | − | 0.967513i | ||||
0.252822 | − | 0.967513i | ||||||||
−59533.0 | − | 64170.9i | −0.107550 | − | 0.115929i | |||||
−325931. | −0.587237 | |||||||||
438011.i | 0.787059i | |||||||||
−357085. | − | 26813.4i | −0.639928 | − | 0.0480519i | |||||
63533.4 | 0.113553 | |||||||||
68084.0i | 0.121362i | |||||||||
−943344. | + | 875164.i | −1.67706 | + | 1.55585i | |||||
−526620. | −0.933722 | −0.466861 | − | 0.884331i | ||||||
−0.466861 | + | 0.884331i | ||||||||
33699.4i | 0.0595917i | |||||||||
548787. | + | 591540.i | 0.967862 | + | 1.04326i | |||||
−64431.7 | −0.113333 | |||||||||
406520.i | 0.713162i | |||||||||
−67324.3 | − | 84460.8i | −0.117795 | − | 0.147779i | |||||
−412218. | −0.719342 | −0.359671 | − | 0.933079i | ||||||
−0.359671 | + | 0.933079i | ||||||||
− | 683469.i | − | 1.18954i | |||||||
−233860. | + | 216958.i | −0.405950 | + | 0.376610i | |||||
−136131. | −0.235684 | |||||||||
51994.6i | 0.0897819i | 0.998992 | + | 0.0448909i | ||||||
−0.998992 | + | 0.0448909i | ||||||||
−336724. | − | 362956.i | −0.579914 | − | 0.625092i | |||||
214783. | 0.368936 | |||||||||
− | 178794.i | − | 0.306313i | |||||||
18758.1 | − | 249810.i | 0.0320529 | − | 0.426862i | |||||
−269331. | −0.459017 | |||||||||
1.40774e6i | 2.39294i | |||||||||
27025.1 | − | 25071.9i | 0.0458189 | − | 0.0425074i | |||||
260902. | 0.441189 | 0.220595 | − | 0.975366i | ||||||
0.220595 | + | 0.975366i | ||||||||
− | 309817.i | − | 0.522545i | |||||||
−75516.0 | − | 81399.0i | −0.127037 | − | 0.136934i | |||||
445980. | 0.748308 | |||||||||
− | 323742.i | − | 0.541801i | −0.962607 | − | 0.270900i | ||||
0.962607 | − | 0.270900i | ||||||||
223023. | + | 16746.7i | 0.372279 | + | 0.0279543i | |||||
−721375. | −1.20104 | |||||||||
369756.i | 0.614034i | |||||||||
−258873. | + | 240163.i | −0.428789 | + | 0.397799i | |||||
634418. | 1.04813 | |||||||||
− | 152964.i | − | 0.252066i | |||||||
567854. | + | 612093.i | 0.933356 | + | 1.00607i | |||||
−458181. | −0.751164 | |||||||||
− | 52423.6i | − | 0.0857261i | |||||||
53743.5 | − | 42839.4i | 0.0876602 | − | 0.0698746i | |||||
21952.0 | 0.0357143 | |||||||||
654533.i | 1.06217i | |||||||||
278423. | − | 258301.i | 0.450672 | − | 0.418100i | |||||
−642009. | −1.03655 | −0.518277 | − | 0.855213i | ||||||
−0.518277 | + | 0.855213i | ||||||||
26458.7i | 0.0426104i | |||||||||
243642. | + | 262623.i | 0.391380 | + | 0.421870i | |||||
639604. | 1.02484 | |||||||||
19898.2i | 0.0318024i | |||||||||
16912.9 | − | 225237.i | 0.0269630 | − | 0.359078i | |||||
−1.19727e6 | −1.90391 | |||||||||
− | 225355.i | − | 0.357459i | |||||||
496214. | − | 460351.i | 0.785118 | − | 0.728374i | |||||
−255698. | −0.403554 | |||||||||
− | 26635.0i | − | 0.0419311i | −0.999780 | − | 0.0209656i | ||||
0.999780 | − | 0.0209656i | ||||||||
−40194.6 | − | 43325.9i | −0.0631192 | − | 0.0680365i | |||||
−33932.4 | −0.0531521 | |||||||||
− | 303801.i | − | 0.474690i | |||||||
−685171. | − | 51449.2i | −1.06791 | − | 0.0801888i | |||||
247499. | 0.384790 | |||||||||
249308.i | 0.386639i | |||||||||
69732.8 | − | 64693.0i | 0.107876 | − | 0.100079i | |||||
−255640. | −0.394492 | |||||||||
293757.i | 0.452186i | |||||||||
233883. | + | 252104.i | 0.359131 | + | 0.387109i | |||||
117468. | 0.179927 | |||||||||
− | 904872.i | − | 1.38258i | −0.722578 | − | 0.691290i | ||||
0.722578 | − | 0.691290i | ||||||||
−880625. | − | 133001.i | −1.34221 | − | 0.202715i | |||||
−528283. | −0.803203 | −0.401601 | − | 0.915815i | ||||||
−0.401601 | + | 0.915815i | ||||||||
13968.3i | 0.0211852i | |||||||||
889908. | − | 825590.i | 1.34637 | − | 1.24906i | |||||
−738442. | −1.11447 | |||||||||
1.85460e6i | 2.79213i | |||||||||
25245.2 | + | 27211.9i | 0.0379139 | + | 0.0408676i | |||||
122374. | 0.183335 | |||||||||
735842.i | 1.09971i | |||||||||
−27141.7 | + | 361458.i | −0.0404641 | + | 0.538877i | |||||
468494. | 0.696748 | |||||||||
277365.i | 0.411495i | 0.978605 | + | 0.205748i | ||||||
−0.978605 | + | 0.205748i | ||||||||
−367632. | + | 341061.i | −0.544088 | + | 0.504764i | |||||
554443. | 0.818572 | 0.409286 | − | 0.912406i | ||||||
0.409286 | + | 0.912406i | ||||||||
− | 214917.i | − | 0.316531i | |||||||
−1.26599e6 | − | 1.36462e6i | −1.86004 | − | 2.00495i | |||||
305189. | 0.447310 | |||||||||
844426.i | 1.23467i | 0.786701 | + | 0.617335i | ||||||
−0.786701 | + | 0.617335i | ||||||||
−185850. | − | 13955.4i | −0.271083 | − | 0.0203555i | |||||
74784.2 | 0.108818 | 0.0544090 | − | 0.998519i | ||||||
0.0544090 | + | 0.998519i | ||||||||
− | 600104.i | − | 0.871104i | |||||||
889422. | − | 825140.i | 1.28797 | − | 1.19488i | |||||
−123713. | −0.178719 | |||||||||
22103.8i | 0.0318549i | |||||||||
384803. | + | 414781.i | 0.553231 | + | 0.596330i | |||||
1.63091e6 | 2.33915 | |||||||||
− | 123589.i | − | 0.176834i | |||||||
−195313. | − | 245027.i | −0.278792 | − | 0.349755i | |||||
628933. | 0.895605 | |||||||||
− | 463620.i | − | 0.658625i | −0.944221 | − | 0.329313i | ||||
0.944221 | − | 0.329313i | ||||||||
132698. | − | 123107.i | 0.188063 | − | 0.174471i | |||||
698393. | 0.987433 | |||||||||
777136.i | 1.09616i | |||||||||
−20128.7 | − | 21696.8i | −0.0283243 | − | 0.0305309i | |||||
−70564.6 | −0.0990609 | |||||||||
− | 1.43127e6i | − | 2.00451i | |||||||
−9032.97 | + | 120296.i | −0.0126209 | + | 0.168078i | |||||
10116.9 | 0.0141020 | |||||||||
100293.i | 0.139469i | |||||||||
−852889. | + | 791247.i | −1.18325 | + | 1.09773i | |||||
305902. | 0.423394 | |||||||||
609314.i | 0.841360i | |||||||||
−182060. | − | 196243.i | −0.250804 | − | 0.270343i | |||||
301646. | 0.414572 | 0.207286 | − | 0.978280i | ||||||
0.207286 | + | 0.978280i | ||||||||
259561.i | 0.355896i | |||||||||
−485944. | − | 36489.3i | −0.664743 | − | 0.0499153i | |||||
−83182.7 | −0.113523 | |||||||||
− | 656980.i | − | 0.894520i | −0.894404 | − | 0.447260i | ||||
0.894404 | − | 0.447260i | ||||||||
−555697. | + | 515535.i | −0.754855 | + | 0.700299i | |||||
−104640. | −0.141812 | −0.0709060 | − | 0.997483i | ||||||
−0.0709060 | + | 0.997483i | ||||||||
374805.i | 0.506767i | |||||||||
138329. | + | 149106.i | 0.186598 | + | 0.201135i | |||||
−224122. | −0.301627 | |||||||||
1.12056e6i | 1.50457i | 0.658839 | + | 0.752284i | ||||||
−0.658839 | + | 0.752284i | ||||||||
103191. | − | 82254.6i | 0.138234 | − | 0.110188i | |||||
586695. | 0.784115 | |||||||||
− | 159398.i | − | 0.212543i | |||||||
523665. | − | 485818.i | 0.696651 | − | 0.646301i | |||||
63684.4 | 0.0845267 | |||||||||
580674.i | 0.768941i | |||||||||
78334.5 | + | 84437.2i | 0.103494 | + | 0.111557i | |||||
−319217. | −0.420775 | |||||||||
262415.i | 0.345108i | |||||||||
−99111.6 | + | 1.31991e6i | −0.130046 | + | 1.73187i | |||||
−101977. | −0.133500 | |||||||||
− | 936192.i | − | 1.22278i | |||||||
−106781. | + | 99063.6i | −0.139151 | + | 0.129094i | |||||
−20694.4 | −0.0269062 | −0.0134531 | − | 0.999910i | ||||||
−0.0134531 | + | 0.999910i | ||||||||
− | 235027.i | − | 0.304879i | |||||||
−1.03078e6 | − | 1.11108e6i | −1.33410 | − | 1.43803i | |||||
378524. | 0.488796 | |||||||||
− | 711224.i | − | 0.916336i | −0.888866 | − | 0.458168i | ||||
0.888866 | − | 0.458168i | ||||||||
78361.6 | + | 5884.14i | 0.100732 | + | 0.00756390i | |||||
260420. | 0.334004 | 0.167002 | − | 0.985957i | ||||||
0.167002 | + | 0.985957i | ||||||||
− | 124569.i | − | 0.159406i | |||||||
1.84483e6 | − | 1.71150e6i | 2.35543 | − | 2.18519i | |||||
−395744. | −0.504135 | |||||||||
649369.i | 0.825362i | 0.910876 | + | 0.412681i | ||||||
−0.910876 | + | 0.412681i | ||||||||
−293423. | − | 316282.i | −0.372107 | − | 0.401096i | |||||
360204. | 0.455770 | |||||||||
− | 1.15147e6i | − | 1.45370i | |||||||
120747. | − | 799488.i | 0.152098 | − | 1.00706i | |||||
416886. | 0.523948 | |||||||||
66007.1i | 0.0827728i | |||||||||
126737. | − | 117577.i | 0.158573 | − | 0.147112i | |||||
−2.55698e6 | −3.19214 | |||||||||
26820.2i | 0.0334077i | |||||||||
425385. | + | 458525.i | 0.528685 | + | 0.569873i | |||||
−283602. | −0.351688 | |||||||||
40523.2i | 0.0501401i | |||||||||
81432.6 | − | 1.08447e6i | 0.100534 | − | 1.33886i | |||||
−100986. | −0.124397 | |||||||||
425329.i | 0.522771i | |||||||||
−119288. | + | 110666.i | −0.146292 | + | 0.135719i | |||||
−24310.9 | −0.0297484 | |||||||||
− | 949759.i | − | 1.15962i | |||||||
−146650. | − | 158074.i | −0.178659 | − | 0.192577i | |||||
1.11128e6 | 1.35086 | 0.675429 | − | 0.737425i | ||||||
0.675429 | + | 0.737425i | ||||||||
− | 483017.i | − | 0.585856i | |||||||
419322. | + | 31486.7i | 0.507481 | + | 0.0381066i | |||||
−607452. | −0.733549 | |||||||||
125363.i | 0.151054i | 0.997144 | + | 0.0755272i | ||||||
−0.997144 | + | 0.0755272i | ||||||||
52934.1 | − | 49108.4i | 0.0636424 | − | 0.0590426i | |||||
544813. | 0.653591 | |||||||||
− | 234735.i | − | 0.280986i | |||||||
1.45562e6 | + | 1.56902e6i | 1.73862 | + | 1.87407i | |||||
−24283.8 | −0.0289418 | |||||||||
276313.i | 0.328596i | |||||||||
82823.3 | + | 103905.i | 0.0982804 | + | 0.123296i | |||||
748471. | 0.886225 | 0.443113 | − | 0.896466i | ||||||
0.443113 | + | 0.896466i | ||||||||
− | 312333.i | − | 0.369013i | |||||||
−292907. | + | 271738.i | −0.345311 | + | 0.320354i | |||||
910000. | 1.07048 | |||||||||
898345.i | 1.05448i | |||||||||
111764. | + | 120471.i | 0.130906 | + | 0.141104i | |||||
−3.55547e6 | −4.15540 | |||||||||
− | 290973.i | − | 0.339336i | |||||||
57607.6 | − | 767185.i | 0.0670379 | − | 0.892773i | |||||
−17066.0 | −0.0198170 | |||||||||
− | 132284.i | − | 0.153276i | −0.997059 | − | 0.0766381i | ||||
0.997059 | − | 0.0766381i | ||||||||
384966. | − | 357142.i | 0.445098 | − | 0.412929i | |||||
42997.5 | 0.0496071 | |||||||||
− | 276756.i | − | 0.318614i | |||||||
898109. | + | 968076.i | 1.03173 | + | 1.11211i | |||||
246700. | 0.282797 | |||||||||
381141.i | 0.435976i | |||||||||
−441617. | − | 33160.8i | −0.504073 | − | 0.0378507i | |||||
318721. | 0.363020 | 0.181510 | − | 0.983389i | ||||||
0.181510 | + | 0.983389i | ||||||||
69204.2i | 0.0786550i | |||||||||
−357971. | + | 332099.i | −0.405991 | + | 0.376649i | |||||
−202165. | −0.228797 | |||||||||
− | 897526.i | − | 1.01360i | −0.862063 | − | 0.506802i | ||||
0.862063 | − | 0.506802i | ||||||||
−236118. | − | 254513.i | −0.266090 | − | 0.286819i | |||||
350953. | 0.394663 | |||||||||
372869.i | 0.418420i | |||||||||
506686. | − | 403883.i | 0.567381 | − | 0.452264i | |||||
−340272. | −0.380228 | |||||||||
416790.i | 0.464748i | 0.972626 | + | 0.232374i | ||||||
−0.972626 | + | 0.232374i | ||||||||
−248708. | + | 230733.i | −0.276741 | + | 0.256740i | |||||
488814. | 0.542764 | |||||||||
− | 595057.i | − | 0.659343i | |||||||
797879. | + | 860037.i | 0.882218 | + | 0.950947i | |||||
−27005.6 | −0.0297975 | |||||||||
− | 1.57654e6i | − | 1.73587i | −0.496676 | − | 0.867936i | ||||
0.496676 | − | 0.867936i | ||||||||
−26883.0 | + | 358012.i | −0.0295380 | + | 0.393370i | |||||
1.07259e6 | 1.17606 | |||||||||
626479.i | 0.685473i | |||||||||
−76657.6 | + | 71117.2i | −0.0837011 | + | 0.0776517i | |||||
−371652. | −0.404954 | |||||||||
− | 364844.i | − | 0.396707i | |||||||
150408. | + | 162125.i | 0.163203 | + | 0.175917i | |||||
−738768. | −0.799947 | |||||||||
1.44785e6i | 1.56449i | |||||||||
−296935. | − | 22296.8i | −0.320191 | − | 0.0240430i | |||||
−226898. | −0.244161 | |||||||||
2.67546e6i | 2.87305i | |||||||||
99405.0 | − | 92220.6i | 0.106526 | − | 0.0988266i | |||||
−449565. | −0.480772 | −0.240386 | − | 0.970677i | ||||||
−0.240386 | + | 0.970677i | ||||||||
12360.5i | 0.0131912i | |||||||||
49447.9 | + | 53300.1i | 0.0526624 | + | 0.0567650i | |||||
−2.21819e6 | −2.35752 | |||||||||
− | 397697.i | − | 0.421807i | −0.977507 | − | 0.210904i | ||||
0.977507 | − | 0.210904i | ||||||||
390408. | − | 265962.i | 0.413224 | − | 0.281506i | |||||
−411636. | −0.434799 | |||||||||
− | 327596.i | − | 0.345319i | |||||||
−2.67558e6 | + | 2.48221e6i | −2.81455 | + | 2.61113i | |||||
−317122. | −0.332910 | |||||||||
1.19821e6i | 1.25529i | 0.778499 | + | 0.627646i | ||||||
−0.778499 | + | 0.627646i | ||||||||
−669036. | − | 721158.i | −0.699475 | − | 0.753967i | |||||
1.04538e6 | 1.09071 | |||||||||
131691.i | 0.137121i | |||||||||
−70339.1 | + | 936736.i | −0.0730901 | + | 0.973372i | |||||
−1.28842e6 | −1.33609 | |||||||||
− | 1.59614e6i | − | 1.65183i | −0.563798 | − | 0.825913i | ||||
0.563798 | − | 0.825913i | ||||||||
−182172. | + | 169006.i | −0.188145 | + | 0.174547i | |||||
−158727. | −0.163598 | |||||||||
− | 17184.0i | − | 0.0176755i | |||||||
−59691.9 | − | 64342.2i | −0.0612747 | − | 0.0660483i | |||||
−242318. | −0.248240 | |||||||||
280770.i | 0.287050i | |||||||||
1.35121e6 | + | 101462.i | 1.37864 | + | 0.103522i | |||||
1.43265e6 | 1.45879 | 0.729396 | − | 0.684092i | ||||||
0.729396 | + | 0.684092i | ||||||||
77807.4i | 0.0790675i | |||||||||
−231139. | + | 214433.i | −0.234409 | + | 0.217467i | |||||
194755. | 0.197113 | |||||||||
− | 1.53395e6i | − | 1.54940i | |||||||
216483. | + | 233349.i | 0.218226 | + | 0.235227i | |||||
−397969. | −0.400368 | −0.200184 | − | 0.979758i | ||||||
−0.200184 | + | 0.979758i | ||||||||
− | 1.00051e6i | − | 1.00452i | |||||||
−962646. | − | 1.20767e6i | −0.964575 | − | 1.21009i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 42.5.b.a.29.7 | yes | 8 | |
3.2 | odd | 2 | inner | 42.5.b.a.29.3 | ✓ | 8 | |
4.3 | odd | 2 | 336.5.d.a.113.4 | 8 | |||
7.6 | odd | 2 | 294.5.b.d.197.6 | 8 | |||
12.11 | even | 2 | 336.5.d.a.113.3 | 8 | |||
21.20 | even | 2 | 294.5.b.d.197.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
42.5.b.a.29.3 | ✓ | 8 | 3.2 | odd | 2 | inner | |
42.5.b.a.29.7 | yes | 8 | 1.1 | even | 1 | trivial | |
294.5.b.d.197.2 | 8 | 21.20 | even | 2 | |||
294.5.b.d.197.6 | 8 | 7.6 | odd | 2 | |||
336.5.d.a.113.3 | 8 | 12.11 | even | 2 | |||
336.5.d.a.113.4 | 8 | 4.3 | odd | 2 |