Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,3,Mod(124,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.124");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 525.s (of order , degree , not 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: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 21) |
Sato-Tate group: |
Embedding invariants
Embedding label | 199.2 | ||
Root | of defining polynomial | ||
Character | 525.199 | ||
Dual form | 525.3.s.c.124.2 |
-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 .
0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | −0.267617 | − | 0.963525i | ||
0.700629 | + | 0.713525i | ||||||||
0.866025 | − | 1.50000i | 0.288675 | − | 0.500000i | |||||
−1.50000 | + | 2.59808i | −0.375000 | + | 0.649519i | |||||
0 | 0 | |||||||||
− | 1.73205i | − | 0.288675i | |||||||
−6.06218 | − | 3.50000i | −0.866025 | − | 0.500000i | |||||
7.00000i | 0.875000i | |||||||||
−1.50000 | − | 2.59808i | −0.166667 | − | 0.288675i | |||||
0 | 0 | |||||||||
5.50000 | − | 9.52628i | 0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||
1.00000 | ||||||||||
2.59808 | + | 4.50000i | 0.216506 | + | 0.375000i | |||||
−6.92820 | −0.532939 | −0.266469 | − | 0.963843i | ||||||
−0.266469 | + | 0.963843i | ||||||||
−7.00000 | −0.500000 | |||||||||
0 | 0 | |||||||||
−2.50000 | − | 4.33013i | −0.156250 | − | 0.270633i | |||||
−12.1244 | + | 21.0000i | −0.713197 | + | 1.23529i | 0.250453 | + | 0.968129i | ||
−0.963651 | + | 0.267165i | ||||||||
−2.59808 | − | 1.50000i | −0.144338 | − | 0.0833333i | |||||
3.00000 | − | 1.73205i | 0.157895 | − | 0.0911606i | −0.418971 | − | 0.908000i | ||
0.576865 | + | 0.816839i | ||||||||
0 | 0 | |||||||||
−10.5000 | + | 6.06218i | −0.500000 | + | 0.288675i | |||||
− | 11.0000i | − | 0.500000i | |||||||
−24.2487 | + | 14.0000i | −1.05429 | + | 0.608696i | −0.923848 | − | 0.382760i | ||
−0.130444 | + | 0.991456i | ||||||||
10.5000 | + | 6.06218i | 0.437500 | + | 0.252591i | |||||
0 | 0 | |||||||||
−6.00000 | + | 3.46410i | −0.230769 | + | 0.133235i | |||||
−5.19615 | −0.192450 | |||||||||
18.1865 | − | 10.5000i | 0.649519 | − | 0.375000i | |||||
−25.0000 | −0.862069 | −0.431034 | − | 0.902335i | ||||||
−0.431034 | + | 0.902335i | ||||||||
0 | 0 | |||||||||
−28.5000 | − | 16.4545i | −0.919355 | − | 0.530790i | −0.0359257 | − | 0.999354i | ||
−0.883429 | + | 0.468565i | ||||||||
−28.5788 | − | 16.5000i | −0.893089 | − | 0.515625i | |||||
−9.52628 | − | 16.5000i | −0.288675 | − | 0.500000i | |||||
24.2487i | 0.713197i | |||||||||
0 | 0 | |||||||||
9.00000 | 0.250000 | |||||||||
−50.2295 | + | 29.0000i | −1.35755 | + | 0.783784i | −0.989294 | − | 0.145939i | ||
−0.368260 | + | 0.929723i | ||||||||
1.73205 | − | 3.00000i | 0.0455803 | − | 0.0789474i | |||||
−6.00000 | + | 10.3923i | −0.153846 | + | 0.266469i | |||||
0 | 0 | |||||||||
− | 3.46410i | − | 0.0844903i | −0.999107 | − | 0.0422451i | ||||
0.999107 | − | 0.0422451i | ||||||||
−6.06218 | + | 10.5000i | −0.144338 | + | 0.250000i | |||||
− | 26.0000i | − | 0.604651i | −0.953205 | − | 0.302326i | ||||
0.953205 | − | 0.302326i | ||||||||
16.5000 | + | 28.5788i | 0.375000 | + | 0.649519i | |||||
0 | 0 | |||||||||
−14.0000 | + | 24.2487i | −0.304348 | + | 0.527146i | |||||
−38.1051 | − | 66.0000i | −0.810747 | − | 1.40426i | −0.912342 | − | 0.409429i | ||
0.101595 | − | 0.994826i | ||||||||
−8.66025 | −0.180422 | |||||||||
24.5000 | + | 42.4352i | 0.500000 | + | 0.866025i | |||||
0 | 0 | |||||||||
21.0000 | + | 36.3731i | 0.411765 | + | 0.713197i | |||||
10.3923 | − | 18.0000i | 0.199852 | − | 0.346154i | |||||
26.8468 | + | 15.5000i | 0.506543 | + | 0.292453i | 0.731412 | − | 0.681936i | ||
−0.224868 | + | 0.974389i | ||||||||
−4.50000 | + | 2.59808i | −0.0833333 | + | 0.0481125i | |||||
0 | 0 | |||||||||
24.5000 | − | 42.4352i | 0.437500 | − | 0.757772i | |||||
− | 6.00000i | − | 0.105263i | |||||||
−21.6506 | + | 12.5000i | −0.373287 | + | 0.215517i | |||||
7.50000 | + | 4.33013i | 0.127119 | + | 0.0733920i | 0.562211 | − | 0.826994i | ||
−0.435092 | + | 0.900386i | ||||||||
0 | 0 | |||||||||
12.0000 | − | 6.92820i | 0.196721 | − | 0.113577i | −0.398404 | − | 0.917210i | ||
0.595125 | + | 0.803633i | ||||||||
−32.9090 | −0.530790 | |||||||||
21.0000i | 0.333333i | |||||||||
−13.0000 | −0.203125 | |||||||||
0 | 0 | |||||||||
−16.5000 | − | 9.52628i | −0.250000 | − | 0.144338i | |||||
45.0333 | + | 26.0000i | 0.672139 | + | 0.388060i | 0.796887 | − | 0.604129i | ||
−0.124748 | + | 0.992189i | ||||||||
−36.3731 | − | 63.0000i | −0.534898 | − | 0.926471i | |||||
48.4974i | 0.702861i | |||||||||
0 | 0 | |||||||||
64.0000 | 0.901408 | 0.450704 | − | 0.892673i | ||||||
0.450704 | + | 0.892673i | ||||||||
18.1865 | − | 10.5000i | 0.252591 | − | 0.145833i | |||||
3.46410 | − | 6.00000i | 0.0474534 | − | 0.0821918i | −0.841323 | − | 0.540533i | ||
0.888777 | + | 0.458341i | ||||||||
−29.0000 | + | 50.2295i | −0.391892 | + | 0.678777i | |||||
0 | 0 | |||||||||
10.3923i | 0.136741i | |||||||||
−66.6840 | + | 38.5000i | −0.866025 | + | 0.500000i | |||||
12.0000i | 0.153846i | |||||||||
8.50000 | + | 14.7224i | 0.107595 | + | 0.186360i | 0.914795 | − | 0.403917i | ||
−0.807200 | + | 0.590277i | ||||||||
0 | 0 | |||||||||
−4.50000 | + | 7.79423i | −0.0555556 | + | 0.0962250i | |||||
−1.73205 | − | 3.00000i | −0.0211226 | − | 0.0365854i | |||||
−53.6936 | −0.646911 | −0.323455 | − | 0.946243i | ||||||
−0.323455 | + | 0.946243i | ||||||||
− | 36.3731i | − | 0.433013i | |||||||
0 | 0 | |||||||||
−13.0000 | − | 22.5167i | −0.151163 | − | 0.261822i | |||||
−21.6506 | + | 37.5000i | −0.248858 | + | 0.431034i | |||||
66.6840 | + | 38.5000i | 0.757772 | + | 0.437500i | |||||
69.0000 | − | 39.8372i | 0.775281 | − | 0.447609i | −0.0594743 | − | 0.998230i | ||
0.834755 | + | 0.550621i | ||||||||
0 | 0 | |||||||||
42.0000 | + | 24.2487i | 0.461538 | + | 0.266469i | |||||
− | 84.0000i | − | 0.913043i | |||||||
−49.3634 | + | 28.5000i | −0.530790 | + | 0.306452i | |||||
−66.0000 | − | 38.1051i | −0.702128 | − | 0.405374i | |||||
0 | 0 | |||||||||
−49.5000 | + | 28.5788i | −0.515625 | + | 0.297696i | |||||
91.7987 | 0.946378 | 0.473189 | − | 0.880961i | ||||||
0.473189 | + | 0.880961i | ||||||||
42.4352 | + | 24.5000i | 0.433013 | + | 0.250000i | |||||
−33.0000 | −0.333333 | |||||||||
0 | 0 | |||||||||
−18.0000 | − | 10.3923i | −0.178218 | − | 0.102894i | 0.408237 | − | 0.912876i | ||
−0.586455 | + | 0.809982i | ||||||||
36.3731 | + | 21.0000i | 0.356599 | + | 0.205882i | |||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
− | 48.4974i | − | 0.466321i | |||||||
0 | 0 | |||||||||
31.0000 | 0.292453 | |||||||||
26.8468 | − | 15.5000i | 0.250905 | − | 0.144860i | −0.369274 | − | 0.929321i | ||
0.620178 | + | 0.784461i | ||||||||
7.79423 | − | 13.5000i | 0.0721688 | − | 0.125000i | |||||
−68.0000 | + | 117.779i | −0.623853 | + | 1.08055i | 0.364908 | + | 0.931043i | ||
−0.988761 | + | 0.149502i | ||||||||
0 | 0 | |||||||||
100.459i | 0.905036i | |||||||||
35.0000i | 0.312500i | |||||||||
74.0000i | 0.654867i | 0.944874 | + | 0.327434i | ||||||
−0.944874 | + | 0.327434i | ||||||||
−3.00000 | − | 5.19615i | −0.0263158 | − | 0.0455803i | |||||
0 | 0 | |||||||||
37.5000 | − | 64.9519i | 0.323276 | − | 0.559930i | |||||
10.3923 | + | 18.0000i | 0.0888231 | + | 0.153846i | |||||
8.66025 | 0.0733920 | |||||||||
147.000 | − | 84.8705i | 1.23529 | − | 0.713197i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.92820 | − | 12.0000i | 0.0567886 | − | 0.0983607i | |||||
−5.19615 | − | 3.00000i | −0.0422451 | − | 0.0243902i | |||||
85.5000 | − | 49.3634i | 0.689516 | − | 0.398092i | |||||
0 | 0 | |||||||||
10.5000 | + | 18.1865i | 0.0833333 | + | 0.144338i | |||||
− | 1.00000i | − | 0.00787402i | −0.999992 | − | 0.00393701i | ||||
0.999992 | − | 0.00393701i | ||||||||
103.057 | − | 59.5000i | 0.805133 | − | 0.464844i | |||||
−39.0000 | − | 22.5167i | −0.302326 | − | 0.174548i | |||||
0 | 0 | |||||||||
157.500 | − | 90.9327i | 1.20229 | − | 0.694142i | 0.241226 | − | 0.970469i | ||
0.961064 | + | 0.276326i | ||||||||
57.1577 | 0.433013 | |||||||||
−24.2487 | −0.182321 | |||||||||
52.0000 | 0.388060 | |||||||||
0 | 0 | |||||||||
−147.000 | − | 84.8705i | −1.08088 | − | 0.624048i | |||||
−76.2102 | − | 44.0000i | −0.556279 | − | 0.321168i | 0.195372 | − | 0.980729i | ||
−0.751651 | + | 0.659561i | ||||||||
24.2487 | + | 42.0000i | 0.175715 | + | 0.304348i | |||||
− | 190.526i | − | 1.37069i | −0.728220 | − | 0.685344i | ||||
0.728220 | − | 0.685344i | ||||||||
0 | 0 | |||||||||
−132.000 | −0.936170 | |||||||||
55.4256 | − | 32.0000i | 0.390321 | − | 0.225352i | |||||
−38.1051 | + | 66.0000i | −0.266469 | + | 0.461538i | |||||
−7.50000 | + | 12.9904i | −0.0520833 | + | 0.0902110i | |||||
0 | 0 | |||||||||
− | 6.92820i | − | 0.0474534i | |||||||
84.8705 | 0.577350 | |||||||||
− | 174.000i | − | 1.17568i | |||||||
−115.000 | − | 199.186i | −0.771812 | − | 1.33682i | −0.936569 | − | 0.350484i | ||
0.164757 | − | 0.986334i | ||||||||
0 | 0 | |||||||||
−113.500 | + | 196.588i | −0.751656 | + | 1.30191i | 0.195364 | + | 0.980731i | ||
−0.947020 | + | 0.321175i | ||||||||
12.1244 | + | 21.0000i | 0.0797655 | + | 0.138158i | |||||
72.7461 | 0.475465 | |||||||||
−38.5000 | + | 66.6840i | −0.250000 | + | 0.433013i | |||||
0 | 0 | |||||||||
−18.0000 | − | 31.1769i | −0.115385 | − | 0.199852i | |||||
24.2487 | − | 42.0000i | 0.154450 | − | 0.267516i | −0.778408 | − | 0.627758i | ||
0.932859 | + | 0.360242i | ||||||||
14.7224 | + | 8.50000i | 0.0931799 | + | 0.0537975i | |||||
46.5000 | − | 26.8468i | 0.292453 | − | 0.168848i | |||||
0 | 0 | |||||||||
196.000 | 1.21739 | |||||||||
9.00000i | 0.0555556i | |||||||||
−183.597 | + | 106.000i | −1.12636 | + | 0.650307i | −0.943018 | − | 0.332742i | ||
−0.183346 | + | 0.983048i | ||||||||
9.00000 | + | 5.19615i | 0.0548780 | + | 0.0316839i | |||||
0 | 0 | |||||||||
−46.5000 | + | 26.8468i | −0.280120 | + | 0.161728i | |||||
96.9948 | 0.580807 | 0.290404 | − | 0.956904i | ||||||
0.290404 | + | 0.956904i | ||||||||
−42.4352 | − | 73.5000i | −0.252591 | − | 0.437500i | |||||
−121.000 | −0.715976 | |||||||||
0 | 0 | |||||||||
−9.00000 | − | 5.19615i | −0.0526316 | − | 0.0303869i | |||||
67.5500 | + | 39.0000i | 0.392732 | + | 0.226744i | |||||
−107.387 | − | 186.000i | −0.620735 | − | 1.07514i | −0.989349 | − | 0.145562i | ||
0.368614 | − | 0.929582i | ||||||||
43.3013i | 0.248858i | |||||||||
0 | 0 | |||||||||
−55.0000 | −0.312500 | |||||||||
12.9904 | − | 7.50000i | 0.0733920 | − | 0.0423729i | |||||
39.8372 | − | 69.0000i | 0.223804 | − | 0.387640i | |||||
23.0000 | − | 39.8372i | 0.128492 | − | 0.222554i | −0.794601 | − | 0.607132i | ||
0.923092 | + | 0.384578i | ||||||||
0 | 0 | |||||||||
31.1769i | 0.172248i | 0.996284 | + | 0.0861241i | ||||||
−0.996284 | + | 0.0861241i | ||||||||
48.4974 | 0.266469 | |||||||||
− | 24.0000i | − | 0.131148i | |||||||
−98.0000 | − | 169.741i | −0.532609 | − | 0.922505i | |||||
0 | 0 | |||||||||
−28.5000 | + | 49.3634i | −0.153226 | + | 0.265395i | |||||
133.368 | + | 231.000i | 0.713197 | + | 1.23529i | |||||
228.631 | 1.21612 | |||||||||
31.5000 | + | 18.1865i | 0.166667 | + | 0.0962250i | |||||
0 | 0 | |||||||||
−104.000 | − | 180.133i | −0.544503 | − | 0.943106i | −0.998638 | − | 0.0521735i | ||
0.454135 | − | 0.890933i | ||||||||
−11.2583 | + | 19.5000i | −0.0586371 | + | 0.101562i | |||||
206.980 | + | 119.500i | 1.07244 | + | 0.619171i | 0.928846 | − | 0.370466i | ||
0.143590 | + | 0.989637i | ||||||||
79.5000 | − | 45.8993i | 0.409794 | − | 0.236595i | |||||
0 | 0 | |||||||||
−147.000 | −0.750000 | |||||||||
− | 26.0000i | − | 0.131980i | −0.997820 | − | 0.0659898i | ||||
0.997820 | − | 0.0659898i | ||||||||
−28.5788 | + | 16.5000i | −0.144338 | + | 0.0833333i | |||||
210.000 | + | 121.244i | 1.05528 | + | 0.609264i | 0.924122 | − | 0.382098i | ||
0.131155 | + | 0.991362i | ||||||||
0 | 0 | |||||||||
78.0000 | − | 45.0333i | 0.388060 | − | 0.224046i | |||||
−20.7846 | −0.102894 | |||||||||
151.554 | + | 87.5000i | 0.746574 | + | 0.431034i | |||||
−126.000 | −0.617647 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
72.7461 | + | 42.0000i | 0.351431 | + | 0.202899i | |||||
17.3205 | + | 30.0000i | 0.0832717 | + | 0.144231i | |||||
− | 38.1051i | − | 0.182321i | |||||||
0 | 0 | |||||||||
−52.0000 | −0.246445 | −0.123223 | − | 0.992379i | ||||||
−0.123223 | + | 0.992379i | ||||||||
−80.5404 | + | 46.5000i | −0.379907 | + | 0.219340i | |||||
55.4256 | − | 96.0000i | 0.260214 | − | 0.450704i | |||||
15.5000 | − | 26.8468i | 0.0724299 | − | 0.125452i | |||||
0 | 0 | |||||||||
− | 36.3731i | − | 0.168394i | |||||||
115.181 | + | 199.500i | 0.530790 | + | 0.919355i | |||||
136.000i | 0.623853i | |||||||||
−6.00000 | − | 10.3923i | −0.0273973 | − | 0.0474534i | |||||
0 | 0 | |||||||||
84.0000 | − | 145.492i | 0.380090 | − | 0.658336i | |||||
50.2295 | + | 87.0000i | 0.226259 | + | 0.391892i | |||||
22.5167 | 0.100972 | 0.0504858 | − | 0.998725i | ||||||
0.0504858 | + | 0.998725i | ||||||||
115.500 | + | 200.052i | 0.515625 | + | 0.893089i | |||||
0 | 0 | |||||||||
37.0000 | + | 64.0859i | 0.163717 | + | 0.283566i | |||||
−33.7750 | + | 58.5000i | −0.148789 | + | 0.257709i | −0.930780 | − | 0.365580i | ||
0.781991 | + | 0.623289i | ||||||||
15.5885 | + | 9.00000i | 0.0683704 | + | 0.0394737i | |||||
27.0000 | − | 15.5885i | 0.117904 | − | 0.0680719i | −0.439888 | − | 0.898053i | ||
0.557792 | + | 0.829981i | ||||||||
0 | 0 | |||||||||
133.368i | 0.577350i | |||||||||
− | 175.000i | − | 0.754310i | |||||||
−226.899 | + | 131.000i | −0.973814 | + | 0.562232i | −0.900397 | − | 0.435070i | ||
−0.0734171 | + | 0.997301i | ||||||||
18.0000 | + | 10.3923i | 0.0769231 | + | 0.0444116i | |||||
0 | 0 | |||||||||
−22.5000 | + | 12.9904i | −0.0953390 | + | 0.0550440i | |||||
29.4449 | 0.124240 | |||||||||
84.8705 | − | 147.000i | 0.356599 | − | 0.617647i | |||||
−160.000 | −0.669456 | −0.334728 | − | 0.942315i | ||||||
−0.334728 | + | 0.942315i | ||||||||
0 | 0 | |||||||||
409.500 | + | 236.425i | 1.69917 | + | 0.981016i | 0.946548 | + | 0.322564i | ||
0.752622 | + | 0.658452i | ||||||||
0 | 0 | |||||||||
7.79423 | + | 13.5000i | 0.0320750 | + | 0.0555556i | |||||
41.5692i | 0.170366i | |||||||||
0 | 0 | |||||||||
−6.00000 | −0.0243902 | |||||||||
−20.7846 | + | 12.0000i | −0.0841482 | + | 0.0485830i | |||||
115.181 | − | 199.500i | 0.464441 | − | 0.804435i | |||||
−46.5000 | + | 80.5404i | −0.186747 | + | 0.323455i | |||||
0 | 0 | |||||||||
67.5500i | 0.269123i | 0.990905 | + | 0.134562i | ||||||
−0.990905 | + | 0.134562i | ||||||||
−54.5596 | − | 31.5000i | −0.216506 | − | 0.125000i | |||||
308.000i | 1.21739i | |||||||||
−0.500000 | − | 0.866025i | −0.00196850 | − | 0.00340955i | |||||
0 | 0 | |||||||||
85.5000 | − | 148.090i | 0.333984 | − | 0.578478i | |||||
−202.650 | − | 351.000i | −0.788521 | − | 1.36576i | −0.926873 | − | 0.375376i | ||
0.138352 | − | 0.990383i | ||||||||
−45.0333 | −0.174548 | |||||||||
406.000 | 1.56757 | |||||||||
0 | 0 | |||||||||
37.5000 | + | 64.9519i | 0.143678 | + | 0.248858i | |||||
90.9327 | − | 157.500i | 0.347071 | − | 0.601145i | |||||
91.7987 | + | 53.0000i | 0.349044 | + | 0.201521i | 0.664264 | − | 0.747498i | ||
−0.315220 | + | 0.949019i | ||||||||
115.500 | − | 66.6840i | 0.437500 | − | 0.252591i | |||||
0 | 0 | |||||||||
−21.0000 | + | 12.1244i | −0.0789474 | + | 0.0455803i | |||||
− | 138.000i | − | 0.516854i | |||||||
−135.100 | + | 78.0000i | −0.504104 | + | 0.291045i | |||||
−376.500 | − | 217.372i | −1.39963 | − | 0.808076i | −0.405275 | − | 0.914195i | ||
−0.994353 | + | 0.106119i | ||||||||
0 | 0 | |||||||||
109.500 | − | 63.2199i | 0.404059 | − | 0.233284i | −0.284175 | − | 0.958772i | ||
0.688234 | + | 0.725489i | ||||||||
121.244 | 0.445748 | |||||||||
72.7461 | − | 42.0000i | 0.266469 | − | 0.153846i | |||||
−88.0000 | −0.321168 | |||||||||
0 | 0 | |||||||||
−126.000 | − | 72.7461i | −0.456522 | − | 0.263573i | |||||
−204.382 | − | 118.000i | −0.737841 | − | 0.425993i | 0.0834427 | − | 0.996513i | ||
−0.821284 | + | 0.570520i | ||||||||
−95.2628 | − | 165.000i | −0.342672 | − | 0.593525i | |||||
98.7269i | 0.353860i | |||||||||
0 | 0 | |||||||||
−116.000 | −0.412811 | −0.206406 | − | 0.978466i | ||||||
−0.206406 | + | 0.978466i | ||||||||
−114.315 | + | 66.0000i | −0.405374 | + | 0.234043i | |||||
−185.329 | + | 321.000i | −0.654874 | + | 1.13428i | 0.327051 | + | 0.945007i | ||
−0.981925 | + | 0.189269i | ||||||||
−96.0000 | + | 166.277i | −0.338028 | + | 0.585482i | |||||
0 | 0 | |||||||||
76.2102i | 0.266469i | |||||||||
−12.1244 | + | 21.0000i | −0.0422451 | + | 0.0731707i | |||||
99.0000i | 0.343750i | |||||||||
−149.500 | − | 258.942i | −0.517301 | − | 0.895992i | |||||
0 | 0 | |||||||||
79.5000 | − | 137.698i | 0.273196 | − | 0.473189i | |||||
10.3923 | + | 18.0000i | 0.0355901 | + | 0.0616438i | |||||
−19.0526 | −0.0650258 | −0.0325129 | − | 0.999471i | ||||||
−0.0325129 | + | 0.999471i | ||||||||
73.5000 | − | 42.4352i | 0.250000 | − | 0.144338i | |||||
0 | 0 | |||||||||
−203.000 | − | 351.606i | −0.685811 | − | 1.18786i | |||||
−28.5788 | + | 49.5000i | −0.0962250 | + | 0.166667i | |||||
−199.186 | − | 115.000i | −0.668409 | − | 0.385906i | |||||
168.000 | − | 96.9948i | 0.561873 | − | 0.324397i | |||||
0 | 0 | |||||||||
−91.0000 | + | 157.617i | −0.302326 | + | 0.523643i | |||||
227.000i | 0.751656i | |||||||||
−31.1769 | + | 18.0000i | −0.102894 | + | 0.0594059i | |||||
−15.0000 | − | 8.66025i | −0.0493421 | − | 0.0284877i | |||||
0 | 0 | |||||||||
63.0000 | − | 36.3731i | 0.205882 | − | 0.118866i | |||||
−457.261 | −1.48945 | −0.744725 | − | 0.667371i | ||||||
−0.744725 | + | 0.667371i | ||||||||
− | 231.000i | − | 0.750000i | |||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
285.000 | + | 164.545i | 0.916399 | + | 0.529083i | 0.882484 | − | 0.470342i | ||
0.0339143 | + | 0.999425i | ||||||||
−72.7461 | − | 42.0000i | −0.233161 | − | 0.134615i | |||||
−274.530 | − | 475.500i | −0.877093 | − | 1.51917i | −0.854517 | − | 0.519424i | ||
−0.0225763 | − | 0.999745i | ||||||||
− | 48.4974i | − | 0.154450i | |||||||
0 | 0 | |||||||||
−51.0000 | −0.161392 | |||||||||
161.947 | − | 93.5000i | 0.510873 | − | 0.294953i | −0.222319 | − | 0.974974i | ||
0.733192 | + | 0.680021i | ||||||||
26.8468 | − | 46.5000i | 0.0844239 | − | 0.146226i | |||||
−137.500 | + | 238.157i | −0.431034 | + | 0.746574i | |||||
0 | 0 | |||||||||
− | 53.6936i | − | 0.167270i | |||||||
169.741 | − | 98.0000i | 0.527146 | − | 0.304348i | |||||
84.0000i | 0.260062i | |||||||||
−13.5000 | − | 23.3827i | −0.0416667 | − | 0.0721688i | |||||
0 | 0 | |||||||||
−106.000 | + | 183.597i | −0.325153 | + | 0.563182i | |||||
117.779 | + | 204.000i | 0.360182 | + | 0.623853i | |||||
24.2487 | 0.0739290 | |||||||||
533.472i | 1.62149i | |||||||||
0 | 0 | |||||||||
8.00000 | + | 13.8564i | 0.0241692 | + | 0.0418623i | 0.877857 | − | 0.478923i | ||
−0.853688 | + | 0.520785i | ||||||||
80.5404 | − | 139.500i | 0.242591 | − | 0.420181i | |||||
150.688 | + | 87.0000i | 0.452518 | + | 0.261261i | |||||
84.0000 | − | 48.4974i | 0.251497 | − | 0.145202i | |||||
0 | 0 | |||||||||
52.5000 | + | 30.3109i | 0.156250 | + | 0.0902110i | |||||
83.0000i | 0.246291i | 0.992389 | + | 0.123145i | ||||||
−0.992389 | + | 0.123145i | ||||||||
−104.789 | + | 60.5000i | −0.310027 | + | 0.178994i | |||||
111.000 | + | 64.0859i | 0.327434 | + | 0.189044i | |||||
0 | 0 | |||||||||
−313.500 | + | 180.999i | −0.919355 | + | 0.530790i | |||||
−10.3923 | −0.0303869 | |||||||||
− | 343.000i | − | 1.00000i | |||||||
182.000 | 0.529070 | |||||||||
0 | 0 | |||||||||
−186.000 | − | 107.387i | −0.537572 | − | 0.310367i | |||||
−310.037 | − | 179.000i | −0.893479 | − | 0.515850i | −0.0183999 | − | 0.999831i | ||
−0.875079 | + | 0.483981i | ||||||||
−64.9519 | − | 112.500i | −0.186643 | − | 0.323276i | |||||
678.964i | 1.94546i | 0.231950 | + | 0.972728i | ||||||
−0.231950 | + | 0.972728i | ||||||||
0 | 0 | |||||||||
36.0000 | 0.102564 | |||||||||
−314.367 | + | 181.500i | −0.893089 | + | 0.515625i | |||||
−322.161 | + | 558.000i | −0.912639 | + | 1.58074i | −0.102317 | + | 0.994752i | ||
−0.810322 | + | 0.585985i | ||||||||
7.50000 | − | 12.9904i | 0.0211864 | − | 0.0366960i | |||||
0 | 0 | |||||||||
239.023i | 0.671413i | |||||||||
− | 294.000i | − | 0.823529i | |||||||
− | 46.0000i | − | 0.128492i | |||||||
−142.000 | − | 245.951i | −0.395543 | − | 0.685101i | 0.597627 | − | 0.801774i | ||
−0.993170 | + | 0.116673i | ||||||||
0 | 0 | |||||||||
−174.500 | + | 302.243i | −0.483380 | + | 0.837238i | |||||
15.5885 | + | 27.0000i | 0.0430620 | + | 0.0745856i | |||||
0 | 0 | |||||||||
−126.000 | + | 72.7461i | −0.346154 | + | 0.199852i | |||||
0 | 0 | |||||||||
−12.0000 | − | 20.7846i | −0.0327869 | − | 0.0567886i | |||||
−137.698 | + | 238.500i | −0.375199 | + | 0.649864i | −0.990357 | − | 0.138540i | ||
0.615158 | + | 0.788404i | ||||||||
121.244 | + | 70.0000i | 0.329466 | + | 0.190217i | |||||
−9.00000 | + | 5.19615i | −0.0243902 | + | 0.0140817i | |||||
0 | 0 | |||||||||
−108.500 | − | 187.928i | −0.292453 | − | 0.506543i | |||||
− | 171.000i | − | 0.459677i | |||||||
−43.3013 | + | 25.0000i | −0.116089 | + | 0.0670241i | −0.556920 | − | 0.830566i | ||
0.440831 | + | 0.897590i | ||||||||
231.000 | + | 133.368i | 0.617647 | + | 0.356599i | |||||
0 | 0 | |||||||||
462.000 | − | 266.736i | 1.22872 | − | 0.709404i | |||||
173.205 | 0.459430 | |||||||||
36.3731 | 0.0962250 | |||||||||
−458.000 | −1.20844 | −0.604222 | − | 0.796816i | ||||||
−0.604222 | + | 0.796816i | ||||||||
0 | 0 | |||||||||
−1.50000 | − | 0.866025i | −0.00393701 | − | 0.00227303i | |||||
−180.133 | − | 104.000i | −0.471553 | − | 0.272251i | |||||
−202.650 | − | 351.000i | −0.529112 | − | 0.916449i | −0.999424 | − | 0.0339486i | ||
0.470311 | − | 0.882501i | ||||||||
− | 206.114i | − | 0.536755i | |||||||
0 | 0 | |||||||||
239.000 | 0.619171 | |||||||||
−67.5500 | + | 39.0000i | −0.174548 | + | 0.100775i | |||||
−137.698 | + | 238.500i | −0.354892 | + | 0.614691i | |||||
−349.000 | + | 604.486i | −0.897172 | + | 1.55395i | −0.0660793 | + | 0.997814i | ||
−0.831093 | + | 0.556134i | ||||||||
0 | 0 | |||||||||
− | 678.964i | − | 1.73648i | |||||||
−297.047 | + | 171.500i | −0.757772 | + | 0.437500i | |||||
− | 315.000i | − | 0.801527i | |||||||
−13.0000 | − | 22.5167i | −0.0329949 | − | 0.0571489i | |||||
0 | 0 | |||||||||
49.5000 | − | 85.7365i | 0.125000 | − | 0.216506i | |||||
−287.520 | − | 498.000i | −0.724233 | − | 1.25441i | −0.959289 | − | 0.282426i | ||
0.235056 | − | 0.971982i | ||||||||
242.487 | 0.609264 | |||||||||
−21.0000 | + | 36.3731i | −0.0526316 | + | 0.0911606i | |||||
0 | 0 | |||||||||
142.000 | + | 245.951i | 0.354115 | + | 0.613345i | 0.986966 | − | 0.160929i | ||
−0.632851 | + | 0.774273i | ||||||||
45.0333 | − | 78.0000i | 0.112023 | − | 0.194030i | |||||
197.454 | + | 114.000i | 0.489960 | + | 0.282878i | |||||
54.0000 | − | 31.1769i | 0.133663 | − | 0.0771706i | |||||
0 | 0 | |||||||||
175.000 | 0.431034 | |||||||||
638.000i | 1.56757i | |||||||||
−254.611 | + | 147.000i | −0.624048 | + | 0.360294i | |||||
181.500 | + | 104.789i | 0.443765 | + | 0.256208i | 0.705193 | − | 0.709015i | ||
−0.261428 | + | 0.965223i | ||||||||
0 | 0 | |||||||||
−132.000 | + | 76.2102i | −0.321168 | + | 0.185426i | |||||
0 | 0 | |||||||||
−30.3109 | − | 52.5000i | −0.0733920 | − | 0.127119i | |||||
84.0000 | 0.202899 | |||||||||
0 | 0 | |||||||||
198.000 | + | 114.315i | 0.475962 | + | 0.274797i | |||||
−285.788 | − | 165.000i | −0.685344 | − | 0.395683i | |||||
−19.0526 | − | 33.0000i | −0.0455803 | − | 0.0789474i | |||||
− | 131.636i | − | 0.314167i | −0.987585 | − | 0.157083i | ||||
0.987585 | − | 0.157083i | ||||||||
0 | 0 | |||||||||
−28.0000 | −0.0665083 | −0.0332542 | − | 0.999447i | ||||||
−0.0332542 | + | 0.999447i | ||||||||
−45.0333 | + | 26.0000i | −0.106714 | + | 0.0616114i | |||||
−114.315 | + | 198.000i | −0.270249 | + | 0.468085i | |||||
−108.500 | + | 187.928i | −0.255896 | + | 0.443225i | |||||
0 | 0 | |||||||||
− | 110.851i | − | 0.260214i | |||||||
−96.9948 | −0.227154 | |||||||||
93.0000i | 0.217290i | |||||||||
66.0000 | + | 114.315i | 0.153846 | + | 0.266469i | |||||
0 | 0 | |||||||||
−59.0000 | + | 102.191i | −0.136891 | + | 0.237102i | −0.926318 | − | 0.376742i | ||
0.789427 | + | 0.613844i | ||||||||
12.9904 | + | 22.5000i | 0.0300703 | + | 0.0520833i | |||||
561.184 | 1.29604 | 0.648019 | − | 0.761624i | ||||||
0.648019 | + | 0.761624i | ||||||||
199.500 | + | 115.181i | 0.459677 | + | 0.265395i | |||||
0 | 0 | |||||||||
−204.000 | − | 353.338i | −0.467890 | − | 0.810409i | |||||
−48.4974 | + | 84.0000i | −0.110978 | + | 0.192220i | |||||
−10.3923 | − | 6.00000i | −0.0237267 | − | 0.0136986i | |||||
640.500 | − | 369.793i | 1.45900 | − | 0.842353i | 0.460036 | − | 0.887900i | ||
0.998962 | + | 0.0455478i | ||||||||
0 | 0 | |||||||||
73.5000 | − | 127.306i | 0.166667 | − | 0.288675i | |||||
− | 168.000i | − | 0.380090i | |||||||
134.234 | − | 77.5000i | 0.303011 | − | 0.174944i | −0.340784 | − | 0.940142i | ||
0.643795 | + | 0.765198i | ||||||||
−261.000 | − | 150.688i | −0.587838 | − | 0.339388i | |||||
0 | 0 | |||||||||
19.5000 | − | 11.2583i | 0.0437220 | − | 0.0252429i | |||||
−398.372 | −0.891212 | |||||||||
78.8083 | + | 45.5000i | 0.175911 | + | 0.101562i | |||||
368.000 | 0.819599 | 0.409800 | − | 0.912176i | ||||||
0.409800 | + | 0.912176i | ||||||||
0 | 0 | |||||||||
−33.0000 | − | 19.0526i | −0.0731707 | − | 0.0422451i | |||||
−192.258 | − | 111.000i | −0.425349 | − | 0.245575i | |||||
196.588 | + | 340.500i | 0.433969 | + | 0.751656i | |||||
67.5500i | 0.148789i | |||||||||
0 | 0 | |||||||||
42.0000 | 0.0921053 | |||||||||
295.315 | − | 170.500i | 0.646203 | − | 0.373085i | −0.140797 | − | 0.990038i | ||
0.787000 | + | 0.616953i | ||||||||
15.5885 | − | 27.0000i | 0.0340359 | − | 0.0589520i | |||||
63.0000 | − | 109.119i | 0.137255 | − | 0.237732i | |||||
0 | 0 | |||||||||
55.4256i | 0.120229i | 0.998191 | + | 0.0601146i | ||||||
−0.998191 | + | 0.0601146i | ||||||||
66.6840 | + | 115.500i | 0.144338 | + | 0.250000i | |||||
178.000i | 0.384449i | 0.981351 | + | 0.192225i | ||||||
−0.981351 | + | 0.192225i | ||||||||
62.5000 | + | 108.253i | 0.134698 | + | 0.233304i | |||||
0 | 0 | |||||||||
−131.000 | + | 226.899i | −0.281116 | + | 0.486907i | |||||
329.090 | + | 570.000i | 0.704689 | + | 1.22056i | 0.966804 | + | 0.255520i | ||
−0.262115 | + | 0.965037i | ||||||||
−62.3538 | −0.133235 | |||||||||
−182.000 | − | 315.233i | −0.388060 | − | 0.672139i | |||||
0 | 0 | |||||||||
−42.0000 | − | 72.7461i | −0.0891720 | − | 0.154450i | |||||
−30.3109 | + | 52.5000i | −0.0642180 | + | 0.111229i | |||||
−247.683 | − | 143.000i | −0.523643 | − | 0.302326i | |||||
25.5000 | − | 14.7224i | 0.0537975 | − | 0.0310600i | |||||
0 | 0 | |||||||||
509.223i | 1.06980i | |||||||||
− | 93.0000i | − | 0.194969i | |||||||
−138.564 | + | 80.0000i | −0.289883 | + | 0.167364i | |||||
−441.000 | − | 254.611i | −0.920668 | − | 0.531548i | −0.0368199 | − | 0.999322i | ||
−0.883848 | + | 0.467774i | ||||||||
0 | 0 | |||||||||
348.000 | − | 200.918i | 0.723493 | − | 0.417709i | |||||
472.850 | 0.981016 | |||||||||
169.741 | − | 294.000i | 0.351431 | − | 0.608696i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.5000 | + | 7.79423i | 0.0277778 | + | 0.0160375i | |||||
728.327 | + | 420.500i | 1.49554 | + | 0.863450i | 0.999987 | − | 0.00512864i | ||
0.495552 | + | 0.868578i | ||||||||
48.4974 | + | 84.0000i | 0.0993800 | + | 0.172131i | |||||
367.195i | 0.750910i | |||||||||
0 | 0 | |||||||||
−959.000 | −1.95316 | −0.976578 | − | 0.215162i | ||||||
−0.976578 | + | 0.215162i | ||||||||
15.5885 | − | 9.00000i | 0.0316839 | − | 0.0182927i | |||||
303.109 | − | 525.000i | 0.614825 | − | 1.06491i | |||||
−12.0000 | + | 20.7846i | −0.0242915 | + | 0.0420741i | |||||
0 | 0 | |||||||||
164.545i | 0.331744i | |||||||||
−387.979 | − | 224.000i | −0.780643 | − | 0.450704i | |||||
93.0000i | 0.186747i | |||||||||
−59.0000 | − | 102.191i | −0.118236 | − | 0.204792i | 0.800832 | − | 0.598889i | ||
−0.919069 | + | 0.394097i | ||||||||
0 | 0 | |||||||||
84.0000 | − | 145.492i | 0.167665 | − | 0.290404i | |||||
33.7750 | + | 58.5000i | 0.0672809 | + | 0.116534i | |||||
−363.731 | −0.723123 | −0.361561 | − | 0.932348i | ||||||
−0.361561 | + | 0.932348i | ||||||||
−147.000 | −0.291667 | |||||||||
0 | 0 | |||||||||
154.000 | + | 266.736i | 0.304348 | + | 0.527146i | |||||
−104.789 | + | 181.500i | −0.206685 | + | 0.357988i | |||||
2.59808 | + | 1.50000i | 0.00511432 | + | 0.00295276i | |||||
−382.500 | + | 220.836i | −0.751473 | + | 0.433863i | −0.826226 | − | 0.563339i | ||
0.0747526 | + | 0.997202i | ||||||||
0 | 0 | |||||||||
−42.0000 | + | 24.2487i | −0.0821918 | + | 0.0474534i | |||||
305.000i | 0.595703i | |||||||||
−15.5885 | + | 9.00000i | −0.0303869 | + | 0.0175439i | |||||
−351.000 | − | 202.650i | −0.682879 | − | 0.394261i | |||||
0 | 0 | |||||||||
117.000 | − | 67.5500i | 0.226744 | − | 0.130911i | |||||
−838.313 | −1.62149 | |||||||||
351.606 | − | 203.000i | 0.678777 | − | 0.391892i | |||||
−372.000 | −0.716763 | |||||||||
0 | 0 | |||||||||
−843.000 | − | 486.706i | −1.61804 | − | 0.934177i | −0.987426 | − | 0.158082i | ||
−0.630616 | − | 0.776095i | ||||||||
64.9519 | + | 37.5000i | 0.124429 | + | 0.0718391i | |||||
235.559 | + | 408.000i | 0.450399 | + | 0.780115i | 0.998411 | − | 0.0563562i | ||
−0.548011 | + | 0.836471i | ||||||||
545.596i | 1.04121i | |||||||||
0 | 0 | |||||||||
106.000 | 0.201521 | |||||||||
691.088 | − | 399.000i | 1.31136 | − | 0.757116i | |||||
−47.6314 | + | 82.5000i | −0.0902110 | + | 0.156250i | |||||
127.500 | − | 220.836i | 0.241021 | − | 0.417460i | |||||
0 | 0 | |||||||||
− | 25.9808i | − | 0.0489280i | |||||||
36.3731 | − | 63.0000i | 0.0683704 | − | 0.118421i | |||||
24.0000i | 0.0450281i | |||||||||
−69.0000 | − | 119.512i | −0.129213 | − | 0.223804i | |||||
0 | 0 | |||||||||
−182.000 | + | 315.233i | −0.339552 | + | 0.588122i | |||||
−39.8372 | − | 69.0000i | −0.0741847 | − | 0.128492i | |||||
−434.745 | −0.808076 | |||||||||
539.000 | 1.00000 | |||||||||
0 | 0 | |||||||||
−403.000 | − | 698.016i | −0.744917 | − | 1.29023i | −0.950234 | − | 0.311538i | ||
0.205317 | − | 0.978696i | ||||||||
63.2199 | − | 109.500i | 0.116642 | − | 0.202030i | |||||
46.7654 | + | 27.0000i | 0.0861241 | + | 0.0497238i | |||||
693.000 | − | 400.104i | 1.27390 | − | 0.735485i | |||||
0 | 0 | |||||||||
42.0000 | − | 72.7461i | 0.0769231 | − | 0.133235i | |||||
− | 154.000i | − | 0.281536i | −0.990043 | − | 0.140768i | ||||
0.990043 | − | 0.140768i | ||||||||
228.631 | − | 132.000i | 0.417209 | − | 0.240876i | |||||
−36.0000 | − | 20.7846i | −0.0655738 | − | 0.0378590i | |||||
0 | 0 | |||||||||
−75.0000 | + | 43.3013i | −0.136116 | + | 0.0785867i | |||||
−339.482 | −0.615004 | |||||||||
− | 119.000i | − | 0.215190i | |||||||
−236.000 | −0.425993 | |||||||||
0 | 0 | |||||||||
495.000 | + | 285.788i | 0.890288 | + | 0.514008i | |||||
736.988 | + | 425.500i | 1.32314 | + | 0.763914i | 0.984228 | − | 0.176905i | ||
0.338910 | + | 0.940819i | ||||||||
49.3634 | + | 85.5000i | 0.0884650 | + | 0.153226i | |||||
180.133i | 0.322242i | |||||||||
0 | 0 | |||||||||
462.000 | 0.823529 | |||||||||
−100.459 | + | 58.0000i | −0.178753 | + | 0.103203i | |||||
213.908 | − | 370.500i | 0.379944 | − | 0.658082i | −0.611110 | − | 0.791546i | ||
0.991054 | + | 0.133464i | ||||||||
198.000 | − | 342.946i | 0.351064 | − | 0.608060i | |||||
0 | 0 | |||||||||
370.659i | 0.654874i | |||||||||
54.5596 | − | 31.5000i | 0.0962250 | − | 0.0555556i | |||||
448.000i | 0.788732i | |||||||||
−409.000 | − | 708.409i | −0.718805 | − | 1.24501i | −0.961474 | − | 0.274897i | ||
0.242669 | − | 0.970109i | ||||||||
0 | 0 | |||||||||
−142.000 | + | 245.951i | −0.248687 | + | 0.430738i | −0.963162 | − | 0.268923i | ||
0.714475 | + | 0.699661i | ||||||||
−114.315 | − | 198.000i | −0.199852 | − | 0.346154i | |||||
−360.267 | −0.628737 | |||||||||
24.2487i | 0.0422451i | |||||||||
0 | 0 | |||||||||
19.5000 | + | 33.7750i | 0.0338542 | + | 0.0586371i | |||||
378.453 | − | 655.500i | 0.655898 | − | 1.13605i | −0.325770 | − | 0.945449i | ||
0.981668 | − | 0.190599i | ||||||||
−258.942 | − | 149.500i | −0.447996 | − | 0.258651i | |||||
358.500 | − | 206.980i | 0.619171 | − | 0.357479i | |||||
0 | 0 | |||||||||
325.500 | + | 187.928i | 0.560241 | + | 0.323455i | |||||
− | 159.000i | − | 0.273196i | |||||||
295.315 | − | 170.500i | 0.506543 | − | 0.292453i | |||||
42.0000 | + | 24.2487i | 0.0719178 | + | 0.0415218i | |||||
0 | 0 | |||||||||
−16.5000 | + | 9.52628i | −0.0281570 | + | 0.0162564i | |||||
947.432 | 1.61402 | 0.807012 | − | 0.590535i | ||||||
0.807012 | + | 0.590535i | ||||||||
−127.306 | + | 220.500i | −0.216506 | + | 0.375000i | |||||
−114.000 | −0.193548 | |||||||||
0 | 0 | |||||||||
−39.0000 | − | 22.5167i | −0.0659898 | − | 0.0380993i | |||||
251.147 | + | 145.000i | 0.424235 | + | 0.244932i | |||||
−204.382 | − | 354.000i | −0.344658 | − | 0.596965i | 0.640634 | − | 0.767847i | ||
−0.985292 | + | 0.170882i | ||||||||
57.1577i | 0.0962250i | |||||||||
0 | 0 | |||||||||
690.000 | 1.15772 | |||||||||
363.731 | − | 210.000i | 0.609264 | − | 0.351759i | |||||
96.9948 | − | 168.000i | 0.162199 | − | 0.280936i | |||||
278.000 | − | 481.510i | 0.464107 | − | 0.803857i | −0.535054 | − | 0.844818i | ||
0.999161 | + | 0.0409613i | ||||||||
0 | 0 | |||||||||
− | 580.237i | − | 0.965453i | −0.875771 | − | 0.482726i | ||||
0.875771 | − | 0.482726i | ||||||||
182.000i | 0.302326i | |||||||||
− | 156.000i | − | 0.258706i | |||||||
−340.500 | − | 589.763i | −0.563742 | − | 0.976429i | |||||
0 | 0 | |||||||||
−18.0000 | + | 31.1769i | −0.0297030 | + | 0.0514471i | |||||
329.956 | + | 571.500i | 0.543584 | + | 0.941516i | 0.998695 | + | 0.0510805i | ||
−0.455110 | + | 0.890435i | ||||||||
−114.315 | −0.188019 | |||||||||
262.500 | − | 151.554i | 0.431034 | − | 0.248858i | |||||
0 | 0 | |||||||||
264.000 | + | 457.261i | 0.432079 | + | 0.748382i | |||||
−109.119 | + | 189.000i | −0.178299 | + | 0.308824i | |||||
277.128 | + | 160.000i | 0.452085 | + | 0.261011i | 0.708710 | − | 0.705500i | ||
−0.256625 | + | 0.966511i | ||||||||
−396.000 | + | 228.631i | −0.644951 | + | 0.372363i | |||||
0 | 0 | |||||||||
−269.500 | − | 466.788i | −0.437500 | − | 0.757772i | |||||
652.000i | 1.05673i | 0.849019 | + | 0.528363i | ||||||
−0.849019 | + | 0.528363i | ||||||||
0 | 0 | |||||||||
558.000 | + | 322.161i | 0.901454 | + | 0.520455i | 0.877672 | − | 0.479262i | ||
0.0237823 | + | 0.999717i | ||||||||
0 | 0 | |||||||||
126.000 | − | 72.7461i | 0.202899 | − | 0.117144i | |||||
329.090 | 0.529083 | |||||||||
−557.720 | −0.895217 | |||||||||
60.0000 | 0.0961538 | |||||||||
0 | 0 | |||||||||
−475.500 | − | 274.530i | −0.759585 | − | 0.438546i | |||||
−57.1577 | − | 33.0000i | −0.0911606 | − | 0.0526316i | |||||
72.7461 | + | 126.000i | 0.115838 | + | 0.200637i | |||||
− | 1406.43i | − | 2.23597i | |||||||
0 | 0 | |||||||||
−97.0000 | −0.153724 | −0.0768621 | − | 0.997042i | ||||||
−0.0768621 | + | 0.997042i | ||||||||
−103.057 | + | 59.5000i | −0.163065 | + | 0.0941456i | |||||
−45.0333 | + | 78.0000i | −0.0711427 | + | 0.123223i | |||||
93.5000 | − | 161.947i | 0.147476 | − | 0.255437i | |||||
0 | 0 | |||||||||
161.081i | 0.253272i | |||||||||
−169.741 | − | 294.000i | −0.266469 | − | 0.461538i | |||||
275.000i | 0.431034i | |||||||||
−96.0000 | − | 166.277i | −0.150235 | − | 0.260214i | |||||
0 | 0 | |||||||||
−350.000 | + | 606.218i | −0.546022 | + | 0.945738i | 0.452520 | + | 0.891754i | ||
−0.998542 | + | 0.0539833i | ||||||||
−26.8468 | − | 46.5000i | −0.0418174 | − | 0.0724299i | |||||
325.626 | 0.506416 | 0.253208 | − | 0.967412i | ||||||
0.253208 | + | 0.967412i | ||||||||
−294.000 | + | 509.223i | −0.456522 | + | 0.790719i | |||||
0 | 0 | |||||||||
42.0000 | + | 72.7461i | 0.0650155 | + | 0.112610i | |||||
180.133 | − | 312.000i | 0.278413 | − | 0.482226i | −0.692577 | − | 0.721344i | ||
0.970991 | + | 0.239118i | ||||||||
−54.5596 | − | 31.5000i | −0.0841969 | − | 0.0486111i | |||||
82.5000 | − | 47.6314i | 0.127119 | − | 0.0733920i | |||||
0 | 0 | |||||||||
399.000 | 0.612903 | |||||||||
− | 636.000i | − | 0.975460i | |||||||
−323.027 | + | 186.500i | −0.494682 | + | 0.285605i | −0.726515 | − | 0.687151i | ||
0.231833 | + | 0.972756i | ||||||||
204.000 | + | 117.779i | 0.311927 | + | 0.180091i | |||||
0 | 0 | |||||||||
−15.0000 | + | 8.66025i | −0.0228659 | + | 0.0132016i | |||||
−20.7846 | −0.0316356 | |||||||||
266.736 | + | 462.000i | 0.405374 | + | 0.702128i | |||||
818.000 | 1.24127 | 0.620637 | − | 0.784098i | ||||||
0.620637 | + | 0.784098i | ||||||||
0 | 0 | |||||||||
327.000 | + | 188.794i | 0.494705 | + | 0.285618i | 0.726524 | − | 0.687141i | ||
−0.231819 | + | 0.972759i | ||||||||
13.8564 | + | 8.00000i | 0.0209311 | + | 0.0120846i | |||||
−145.492 | − | 252.000i | −0.219445 | − | 0.380090i | |||||
− | 375.855i | − | 0.566047i | |||||||
0 | 0 | |||||||||
174.000 | 0.261261 | |||||||||
606.218 | − | 350.000i | 0.908872 | − | 0.524738i | |||||
−145.492 | + | 252.000i | −0.217803 | + | 0.377246i | |||||
19.5000 | − | 33.7750i | 0.0291480 | − | 0.0504858i | |||||
0 | 0 | |||||||||
− | 152.420i | − | 0.227154i | |||||||
400.104 | 0.595392 | |||||||||
− | 1205.00i | − | 1.79049i | −0.445574 | − | 0.895245i | ||||
0.445574 | − | 0.895245i | ||||||||
41.5000 | + | 71.8801i | 0.0615727 | + | 0.106647i | |||||
0 | 0 | |||||||||
181.500 | − | 314.367i | 0.268491 | − | 0.465040i | |||||
−269.334 | − | 466.500i | −0.397834 | − | 0.689069i | 0.595624 | − | 0.803263i | ||
−0.993458 | + | 0.114194i | ||||||||
128.172 | 0.189044 | |||||||||
−556.500 | − | 321.295i | −0.819588 | − | 0.473189i | |||||
0 | 0 | |||||||||
58.5000 | + | 101.325i | 0.0859031 | + | 0.148789i | |||||
−180.999 | + | 313.500i | −0.265395 | + | 0.459677i | |||||
821.858 | + | 474.500i | 1.20331 | + | 0.694729i | 0.961289 | − | 0.275543i | ||
0.242017 | + | 0.970272i | ||||||||
27.0000 | − | 15.5885i | 0.0394737 | − | 0.0227901i | |||||
0 | 0 | |||||||||
−171.500 | − | 297.047i | −0.250000 | − | 0.433013i | |||||
− | 54.0000i | − | 0.0786026i | |||||||
−112.583 | + | 65.0000i | −0.163639 | + | 0.0944767i | |||||
−186.000 | − | 107.387i | −0.269956 | − | 0.155859i | |||||
0 | 0 | |||||||||
−267.000 | + | 154.153i | −0.386397 | + | 0.223086i | −0.680598 | − | 0.732657i | ||
0.294201 | + | 0.955744i | ||||||||
644.323 | 0.931102 | |||||||||
200.052 | + | 115.500i | 0.288675 | + | 0.166667i | |||||
−358.000 | −0.515850 | |||||||||
0 | 0 | |||||||||
−262.500 | − | 151.554i | −0.377155 | − | 0.217751i | |||||
72.7461 | + | 42.0000i | 0.104370 | + | 0.0602582i | |||||
339.482 | + | 588.000i | 0.486364 | + | 0.842407i | |||||
453.797i | 0.649209i | |||||||||
0 | 0 | |||||||||
−413.000 | −0.589158 | −0.294579 | − | 0.955627i | ||||||
−0.294579 | + | 0.955627i | ||||||||
31.1769 | − | 18.0000i | 0.0444116 | − | 0.0256410i | |||||
−100.459 | + | 174.000i | −0.142900 | + | 0.247511i | |||||
−71.5000 | + | 123.842i | −0.101562 | + | 0.175911i | |||||
0 | 0 | |||||||||
644.323i | 0.912639i | |||||||||
72.7461 | + | 126.000i | 0.102894 | + | 0.178218i | |||||
45.0000i | 0.0635593i | |||||||||
445.000 | + | 770.763i | 0.627645 | + | 1.08711i | 0.988023 | + | 0.154306i | ||
−0.360379 | + | 0.932806i | ||||||||
0 | 0 | |||||||||
25.5000 | − | 44.1673i | 0.0358650 | − | 0.0621200i | |||||
278.860 | + | 483.000i | 0.391658 | + | 0.678371i | |||||
921.451 | 1.29236 | |||||||||
−147.000 | − | 254.611i | −0.205882 | − | 0.356599i | |||||
0 | 0 | |||||||||
69.0000 | + | 119.512i | 0.0963687 | + | 0.166916i | |||||
−138.564 | + | 240.000i | −0.193255 | + | 0.334728i | |||||
−245.951 | − | 142.000i | −0.342550 | − | 0.197772i | |||||
−579.000 | + | 334.286i | −0.805285 | + | 0.464932i | −0.845316 | − | 0.534267i | ||
0.0400307 | + | 0.999198i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
349.000i | 0.483380i | |||||||||
709.275 | − | 409.500i | 0.981016 | − | 0.566390i | |||||
−81.0000 | − | 46.7654i | −0.111878 | − | 0.0645931i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−417.424 | −0.574174 | −0.287087 | − | 0.957905i | ||||||
−0.287087 | + | 0.957905i | ||||||||
−169.741 | + | 294.000i | −0.233161 | + | 0.403846i | |||||
27.0000 | 0.0370370 | |||||||||
0 | 0 | |||||||||
546.000 | + | 315.233i | 0.746922 | + | 0.431236i | |||||
62.3538 | + | 36.0000i | 0.0851828 | + | 0.0491803i | |||||
−98.7269 | − | 171.000i | −0.134689 | − | 0.233288i | 0.790790 | − | 0.612088i | ||
−0.925479 | + | 0.378800i | ||||||||
275.396i | 0.375199i | |||||||||
0 | 0 | |||||||||
924.000 | 1.25543 | |||||||||
495.367 | − | 286.000i | 0.672139 | − | 0.388060i | |||||
−5.19615 | + | 9.00000i | −0.00704086 | + | 0.0121951i | |||||
−155.000 | + | 268.468i | −0.209743 | + | 0.363285i | −0.951633 | − | 0.307236i | ||
0.741891 | + | 0.670521i | ||||||||
0 | 0 | |||||||||
41.5692i | 0.0560988i | |||||||||
−187.928 | − | 108.500i | −0.253272 | − | 0.146226i | |||||
812.000i | 1.09287i | 0.837503 | + | 0.546433i | ||||||
−0.837503 | + | 0.546433i | ||||||||
−199.500 | − | 345.544i | −0.268145 | − | 0.464441i | |||||
0 | 0 | |||||||||
−25.0000 | + | 43.3013i | −0.0335121 | + | 0.0580446i | |||||
80.5404 | + | 139.500i | 0.107818 | + | 0.186747i | |||||
−800.207 | −1.06980 | |||||||||
−217.000 | −0.289720 | |||||||||
0 | 0 | |||||||||
537.500 | + | 930.977i | 0.715712 | + | 1.23965i | 0.962684 | + | 0.270628i | ||
−0.246972 | + | 0.969023i | ||||||||
−190.526 | + | 330.000i | −0.253358 | + | 0.438830i | |||||
101.325 | + | 58.5000i | 0.134562 | + | 0.0776892i | |||||
150.000 | − | 86.6025i | 0.198939 | − | 0.114857i | |||||
0 | 0 | |||||||||
−94.5000 | + | 54.5596i | −0.125000 | + | 0.0721688i | |||||
− | 484.000i | − | 0.639366i | −0.947525 | − | 0.319683i | ||||
0.947525 | − | 0.319683i | ||||||||
−396.640 | + | 229.000i | −0.523271 | + | 0.302111i | |||||
462.000 | + | 266.736i | 0.608696 | + | 0.351431i | |||||
0 | 0 | |||||||||
144.000 | − | 83.1384i | 0.189225 | − | 0.109249i | −0.402395 | − | 0.915466i | ||
0.591620 | + | 0.806217i | ||||||||
−1.73205 | −0.00227303 | |||||||||
824.456 | − | 476.000i | 1.08055 | − | 0.623853i | |||||
624.000 | 0.816754 | |||||||||
0 | 0 | |||||||||
−351.000 | − | 202.650i | −0.458225 | − | 0.264556i | |||||
−51.9615 | − | 30.0000i | −0.0677464 | − | 0.0391134i | |||||
−148.090 | − | 256.500i | −0.192826 | − | 0.333984i | |||||
594.093i | 0.772553i | 0.922383 | + | 0.386277i | ||||||
−0.922383 | + | 0.386277i | ||||||||
0 | 0 | |||||||||
−702.000 | −0.910506 | |||||||||
−620.940 | + | 358.500i | −0.804327 | + | 0.464378i | |||||
516.151 | − | 894.000i | 0.667725 | − | 1.15653i | −0.310814 | − | 0.950471i | ||
0.978539 | − | 0.206062i | ||||||||
−39.0000 | + | 67.5500i | −0.0503876 | + | 0.0872739i | |||||
0 | 0 | |||||||||
642.591i | 0.828081i | |||||||||
351.606 | − | 609.000i | 0.452518 | − | 0.783784i | |||||
698.000i | 0.897172i | |||||||||
−6.00000 | − | 10.3923i | −0.00770218 | − | 0.0133406i | |||||
0 | 0 | |||||||||
352.000 | − | 609.682i | 0.450704 | − | 0.780643i | |||||
−339.482 | − | 588.000i | −0.434120 | − | 0.751918i | |||||
129.904 | 0.165905 | |||||||||
122.500 | − | 212.176i | 0.156250 | − | 0.270633i | |||||
0 | 0 | |||||||||
−157.500 | − | 272.798i | −0.200382 | − | 0.347071i | |||||
−204.382 | + | 354.000i | −0.259698 | + | 0.449809i | −0.966161 | − | 0.257940i | ||
0.706463 | + | 0.707750i | ||||||||
67.5500 | + | 39.0000i | 0.0857233 | + | 0.0494924i | |||||
159.000 | − | 91.7987i | 0.201521 | − | 0.116348i | |||||
0 | 0 | |||||||||
259.000 | − | 448.601i | 0.327434 | − | 0.567132i | |||||
− | 231.000i | − | 0.291667i | |||||||
−83.1384 | + | 48.0000i | −0.104840 | + | 0.0605296i | |||||
−498.000 | − | 287.520i | −0.627204 | − | 0.362116i | |||||
0 | 0 | |||||||||
−630.000 | + | 363.731i | −0.791457 | + | 0.456948i | |||||
−625.270 | −0.784530 | −0.392265 | − | 0.919852i | ||||||
−0.392265 | + | 0.919852i | ||||||||
42.0000i | 0.0526316i | |||||||||
1848.00 | 2.31289 | |||||||||
0 | 0 | |||||||||
−207.000 | − | 119.512i | −0.258427 | − | 0.149203i | |||||
245.951 | + | 142.000i | 0.306672 | + | 0.177057i | |||||
−38.1051 | − | 66.0000i | −0.0474534 | − | 0.0821918i | |||||
270.200i | 0.336070i | |||||||||
0 | 0 | |||||||||
228.000 | 0.282878 | |||||||||
−652.117 | + | 376.500i | −0.808076 | + | 0.466543i | |||||
72.7461 | − | 126.000i | 0.0900323 | − | 0.155941i | |||||
−376.000 | + | 651.251i | −0.464771 | + | 0.805008i | −0.999191 | − | 0.0402116i | ||
0.534420 | + | 0.845219i | ||||||||
0 | 0 | |||||||||
− | 270.200i | − | 0.333169i | −0.986027 | − | 0.166584i | ||||
0.986027 | − | 0.166584i | ||||||||
−454.663 | + | 262.500i | −0.559930 | + | 0.323276i | |||||
− | 219.000i | − | 0.269373i | |||||||
319.000 | + | 552.524i | 0.391892 | + | 0.678777i | |||||
0 | 0 | |||||||||
105.000 | − | 181.865i | 0.128676 | − | 0.222874i | |||||
−45.0333 | − | 78.0000i | −0.0551203 | − | 0.0954712i | |||||
209.578 | 0.256208 | |||||||||
− | 145.492i | − | 0.177646i | |||||||
0 | 0 | |||||||||
−441.500 | − | 764.700i | −0.537759 | − | 0.931426i | −0.999024 | − | 0.0441635i | ||
0.461265 | − | 0.887262i | ||||||||
−76.2102 | + | 132.000i | −0.0927132 | + | 0.160584i | |||||
−424.352 | − | 245.000i | −0.515617 | − | 0.297691i | 0.219523 | − | 0.975607i | ||
−0.735139 | + | 0.677916i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−52.5000 | − | 30.3109i | −0.0635593 | − | 0.0366960i | |||||
1279.00i | 1.54655i | 0.634068 | + | 0.773277i | ||||||
−0.634068 | + | 0.773277i | ||||||||
−218.238 | + | 126.000i | −0.263573 | + | 0.152174i | |||||
−1311.00 | − | 756.906i | −1.58142 | − | 0.913035i | −0.994652 | − | 0.103283i | ||
−0.586771 | − | 0.809753i | ||||||||
0 | 0 | |||||||||
−354.000 | + | 204.382i | −0.425993 | + | 0.245947i | |||||
90.0666 | 0.108253 | |||||||||
−1188.19 | −1.42639 | |||||||||
−330.000 | −0.395683 | |||||||||
0 | 0 | |||||||||
99.0000 | + | 57.1577i | 0.118421 | + | 0.0683704i | |||||
148.090 | + | 85.5000i | 0.176930 | + | 0.102151i | |||||
−65.8179 | − | 114.000i | −0.0785417 | − | 0.136038i | |||||
− | 523.079i | − | 0.623456i | −0.950171 | − | 0.311728i | ||||
0.950171 | − | 0.311728i | ||||||||
0 | 0 | |||||||||
−216.000 | −0.256837 | |||||||||
−24.2487 | + | 14.0000i | −0.0287989 | + | 0.0166271i | |||||
−100.459 | + | 174.000i | −0.119168 | + | 0.206406i | |||||
78.0000 | − | 135.100i | 0.0924171 | − | 0.160071i | |||||
0 | 0 | |||||||||
228.631i | 0.270249i | |||||||||
0 | 0 | |||||||||
− | 155.000i | − | 0.182783i | |||||||
321.000 | + | 555.988i | 0.378092 | + | 0.654874i | |||||
0 | 0 | |||||||||
812.000 | − | 1406.43i | 0.954172 | − | 1.65267i | |||||
166.277 | + | 288.000i | 0.195161 | + | 0.338028i | |||||
−387.979 | −0.454841 | −0.227421 | − | 0.973797i | ||||||
−0.227421 | + | 0.973797i | ||||||||
−84.0000 | + | 48.4974i | −0.0983607 | + | 0.0567886i | |||||
0 | 0 | |||||||||
108.500 | + | 187.928i | 0.126752 | + | 0.219541i | |||||
415.692 | − | 720.000i | 0.485055 | − | 0.840140i | −0.514797 | − | 0.857312i | ||
0.999853 | + | 0.0171718i | ||||||||
114.315 | + | 66.0000i | 0.133235 | + | 0.0769231i | |||||
−981.000 | + | 566.381i | −1.14203 | + | 0.659349i | −0.946931 | − | 0.321436i | ||
−0.195094 | + | 0.980785i | ||||||||
0 | 0 | |||||||||
21.0000 | + | 36.3731i | 0.0243902 | + | 0.0422451i | |||||
118.000i | 0.136891i | |||||||||
−19.0526 | + | 11.0000i | −0.0220771 | + | 0.0127462i | −0.510998 | − | 0.859582i | ||
0.488921 | + | 0.872328i | ||||||||
148.500 | + | 85.7365i | 0.171875 | + | 0.0992321i | |||||
0 | 0 | |||||||||
486.000 | − | 280.592i | 0.561201 | − | 0.324010i | |||||
−517.883 | −0.597328 | |||||||||
−691.088 | −0.796185 | |||||||||
187.000 | 0.215190 | |||||||||
0 | 0 | |||||||||
−312.000 | − | 180.133i | −0.358209 | − | 0.206812i | |||||
−824.456 | − | 476.000i | −0.945477 | − | 0.545872i | |||||
−137.698 | − | 238.500i | −0.157730 | − | 0.273196i | |||||
96.9948i | 0.110978i | |||||||||
0 | 0 | |||||||||
36.0000 | 0.0410959 | |||||||||
−34.6410 | + | 20.0000i | −0.0394994 | + | 0.0228050i | −0.519620 | − | 0.854398i | ||
0.480120 | + | 0.877203i | ||||||||
369.793 | − | 640.500i | 0.421176 | − | 0.729499i | |||||
−16.5000 | + | 28.5788i | −0.0187713 | + | 0.0325129i | |||||
0 | 0 | |||||||||
− | 20.7846i | − | 0.0235921i | −0.999930 | − | 0.0117960i | ||||
0.999930 | − | 0.0117960i | ||||||||
− | 147.000i | − | 0.166667i | |||||||
− | 386.000i | − | 0.437146i | −0.975821 | − | 0.218573i | ||||
0.975821 | − | 0.218573i | ||||||||
252.000 | + | 436.477i | 0.285068 | + | 0.493752i | |||||
0 | 0 | |||||||||
77.5000 | − | 134.234i | 0.0874718 | − | 0.151506i | |||||
−862.561 | − | 1494.00i | −0.972448 | − | 1.68433i | −0.688112 | − | 0.725604i | ||
−0.284336 | − | 0.958725i | ||||||||
−703.213 | −0.791906 | |||||||||
−3.50000 | + | 6.06218i | −0.00393701 | + | 0.00681910i | |||||
0 | 0 | |||||||||
49.5000 | + | 85.7365i | 0.0555556 | + | 0.0962250i | |||||
−33.7750 | + | 58.5000i | −0.0378643 | + | 0.0655830i | |||||
−228.631 | − | 132.000i | −0.256025 | − | 0.147816i | |||||
−345.000 | + | 199.186i | −0.385906 | + | 0.222803i | |||||
0 | 0 | |||||||||
−833.000 | −0.929688 | |||||||||
− | 336.000i | − | 0.374582i | |||||||
318.697 | − | 184.000i | 0.354897 | − | 0.204900i | |||||
712.500 | + | 411.362i | 0.792547 | + | 0.457577i | |||||
0 | 0 | |||||||||
−651.000 | + | 375.855i | −0.722531 | + | 0.417153i | |||||
−38.1051 | −0.0422451 | |||||||||
157.617 | + | 273.000i | 0.174548 | + | 0.302326i | |||||
−518.000 | −0.573009 | |||||||||
0 | 0 | |||||||||
340.500 | + | 196.588i | 0.375828 | + | 0.216984i | |||||
512.687 | + | 296.000i | 0.565256 | + | 0.326351i | 0.755252 | − | 0.655434i | ||
−0.189996 | + | 0.981785i | ||||||||
−101.325 | − | 175.500i | −0.111591 | − | 0.193282i | |||||
62.3538i | 0.0685961i | |||||||||
0 | 0 | |||||||||
−416.000 | −0.456641 | −0.228321 | − | 0.973586i | ||||||
−0.228321 | + | 0.973586i | ||||||||
−25.9808 | + | 15.0000i | −0.0284877 | + | 0.0164474i | |||||
−295.315 | + | 511.500i | −0.323455 | + | 0.560241i | |||||
170.500 | − | 295.315i | 0.186543 | − | 0.323101i | |||||
0 | 0 | |||||||||
93.5307i | 0.102108i | |||||||||
−1273.06 | −1.38828 | |||||||||
− | 126.000i | − | 0.137255i | |||||||
25.0000 | + | 43.3013i | 0.0272035 | + | 0.0471178i | 0.879307 | − | 0.476256i | ||
−0.852103 | + | 0.523374i | ||||||||
0 | 0 | |||||||||
−396.000 | + | 685.892i | −0.429967 | + | 0.744725i | |||||
27.7128 | + | 48.0000i | 0.0300573 | + | 0.0520607i | |||||
−443.405 | −0.480395 | |||||||||
−346.500 | − | 200.052i | −0.375000 | − | 0.216506i | |||||
0 | 0 | |||||||||
89.0000 | + | 154.153i | 0.0961123 | + | 0.166471i | |||||
0 | 0 | |||||||||
714.471 | + | 412.500i | 0.769904 | + | 0.444504i | |||||
−357.000 | + | 206.114i | −0.384284 | + | 0.221867i | −0.679681 | − | 0.733508i | ||
0.295396 | + | 0.955375i | ||||||||
0 | 0 | |||||||||
147.000 | + | 84.8705i | 0.157895 | + | 0.0911606i | |||||
− | 786.000i | − | 0.843348i | |||||||
493.634 | − | 285.000i | 0.529083 | − | 0.305466i | |||||
570.000 | + | 329.090i | 0.610278 | + | 0.352344i | |||||
0 | 0 | |||||||||
−126.000 | + | 72.7461i | −0.134615 | + | 0.0777202i | |||||
−1605.61 | −1.71357 | −0.856783 | − | 0.515677i | ||||||
−0.856783 | + | 0.515677i | ||||||||
−315.233 | − | 182.000i | −0.336070 | − | 0.194030i | |||||
−951.000 | −1.01278 | |||||||||
0 | 0 | |||||||||
−1150.50 | − | 664.241i | −1.22264 | − | 0.705889i | −0.257156 | − | 0.966370i | ||
−0.965479 | + | 0.260481i | ||||||||
−72.7461 | − | 42.0000i | −0.0772252 | − | 0.0445860i | |||||
48.4974 | + | 84.0000i | 0.0514289 | + | 0.0890774i | |||||
− | 43.3013i | − | 0.0458700i | |||||||
0 | 0 | |||||||||
−286.000 | −0.302326 | |||||||||
−1186.45 | + | 685.000i | −1.25286 | + | 0.723337i | −0.971676 | − | 0.236318i | ||
−0.281180 | + | 0.959655i | ||||||||
−44.1673 | + | 76.5000i | −0.0465900 | + | 0.0806962i | |||||
−24.0000 | + | 41.5692i | −0.0252898 | + | 0.0438032i | |||||
0 | 0 | |||||||||
− | 323.894i | − | 0.340582i | |||||||
594.093 | + | 1029.00i | 0.624048 | + | 1.08088i | |||||
− | 1150.00i | − | 1.20672i | −0.797471 | − | 0.603358i | ||||
0.797471 | − | 0.603358i | ||||||||
−46.5000 | − | 80.5404i | −0.0487421 | − | 0.0844239i | |||||
0 | 0 | |||||||||
240.000 | − | 415.692i | 0.251046 | − | 0.434824i | |||||
238.157 | + | 412.500i | 0.248858 | + | 0.431034i | |||||
−509.223 | −0.531548 | |||||||||
308.000 | + | 533.472i | 0.321168 | + | 0.556279i | |||||
0 | 0 | |||||||||
61.0000 | + | 105.655i | 0.0634755 | + | 0.109943i | |||||
200.918 | − | 348.000i | 0.208854 | − | 0.361746i | |||||
−80.5404 | − | 46.5000i | −0.0836349 | − | 0.0482866i | |||||
−1228.50 | + | 709.275i | −1.27438 | + | 0.735762i | |||||
0 | 0 | |||||||||
− | 339.482i | − | 0.351431i | |||||||
5.00000i | 0.00517063i | 0.999997 | + | 0.00258532i | ||||||
−0.999997 | + | 0.00258532i | ||||||||
0 | 0 | |||||||||
126.000 | + | 72.7461i | 0.130031 | + | 0.0750734i | |||||
0 | 0 | |||||||||
385.500 | − | 222.569i | 0.397013 | − | 0.229216i | −0.288181 | − | 0.957576i | ||
0.685195 | + | 0.728360i | ||||||||
−46.7654 | −0.0481125 | |||||||||
−666.840 | + | 1155.00i | −0.685344 | + | 1.18705i | |||||
841.000 | 0.863450 | |||||||||
0 | 0 | |||||||||
−60.0000 | − | 34.6410i | −0.0614754 | − | 0.0354928i | |||||
−829.652 | − | 479.000i | −0.849184 | − | 0.490276i | 0.0111917 | − | 0.999937i | ||
−0.860375 | + | 0.509661i | ||||||||
183.597 | + | 318.000i | 0.187727 | + | 0.325153i | |||||
− | 876.418i | − | 0.895217i | |||||||
0 | 0 | |||||||||
408.000 | 0.415902 | |||||||||
−830.518 | + | 479.500i | −0.845742 | + | 0.488289i | |||||
140.296 | − | 243.000i | 0.142722 | − | 0.247202i | −0.785798 | − | 0.618483i | ||
0.928521 | + | 0.371280i | ||||||||
21.0000 | − | 36.3731i | 0.0213415 | − | 0.0369645i | |||||
0 | 0 | |||||||||
− | 606.218i | − | 0.614825i | |||||||
800.207 | + | 462.000i | 0.810747 | + | 0.468085i | |||||
− | 72.0000i | − | 0.0728745i | |||||||
364.000 | + | 630.466i | 0.368049 | + | 0.637479i | |||||
0 | 0 | |||||||||
−461.500 | + | 799.341i | −0.465691 | + | 0.806601i | −0.999232 | − | 0.0391732i | ||
0.533541 | + | 0.845774i | ||||||||
542.998 | + | 940.500i | 0.547377 | + | 0.948085i | |||||
27.7128 | 0.0279082 | |||||||||
−448.000 | −0.450704 | |||||||||
0 | 0 | |||||||||
−139.500 | − | 241.621i | −0.140060 | − | 0.242591i | |||||
−10.3923 | + | 18.0000i | −0.0104236 | + | 0.0180542i | −0.871190 | − | 0.490946i | ||
0.860767 | + | 0.509000i | ||||||||
−102.191 | − | 59.0000i | −0.102396 | − | 0.0591182i | |||||
261.000 | − | 150.688i | 0.261261 | − | 0.150839i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 525.3.s.c.199.2 | 4 | ||
5.2 | odd | 4 | 525.3.o.g.451.1 | 2 | |||
5.3 | odd | 4 | 21.3.f.b.10.1 | ✓ | 2 | ||
5.4 | even | 2 | inner | 525.3.s.c.199.1 | 4 | ||
7.5 | odd | 6 | inner | 525.3.s.c.124.1 | 4 | ||
15.8 | even | 4 | 63.3.m.c.10.1 | 2 | |||
20.3 | even | 4 | 336.3.bh.a.241.1 | 2 | |||
35.3 | even | 12 | 147.3.d.b.97.2 | 2 | |||
35.12 | even | 12 | 525.3.o.g.376.1 | 2 | |||
35.13 | even | 4 | 147.3.f.c.31.1 | 2 | |||
35.18 | odd | 12 | 147.3.d.b.97.1 | 2 | |||
35.19 | odd | 6 | inner | 525.3.s.c.124.2 | 4 | ||
35.23 | odd | 12 | 147.3.f.c.19.1 | 2 | |||
35.33 | even | 12 | 21.3.f.b.19.1 | yes | 2 | ||
60.23 | odd | 4 | 1008.3.cg.g.577.1 | 2 | |||
105.23 | even | 12 | 441.3.m.e.19.1 | 2 | |||
105.38 | odd | 12 | 441.3.d.b.244.1 | 2 | |||
105.53 | even | 12 | 441.3.d.b.244.2 | 2 | |||
105.68 | odd | 12 | 63.3.m.c.19.1 | 2 | |||
105.83 | odd | 4 | 441.3.m.e.325.1 | 2 | |||
140.3 | odd | 12 | 2352.3.f.d.97.1 | 2 | |||
140.103 | odd | 12 | 336.3.bh.a.145.1 | 2 | |||
140.123 | even | 12 | 2352.3.f.d.97.2 | 2 | |||
420.383 | even | 12 | 1008.3.cg.g.145.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.3.f.b.10.1 | ✓ | 2 | 5.3 | odd | 4 | ||
21.3.f.b.19.1 | yes | 2 | 35.33 | even | 12 | ||
63.3.m.c.10.1 | 2 | 15.8 | even | 4 | |||
63.3.m.c.19.1 | 2 | 105.68 | odd | 12 | |||
147.3.d.b.97.1 | 2 | 35.18 | odd | 12 | |||
147.3.d.b.97.2 | 2 | 35.3 | even | 12 | |||
147.3.f.c.19.1 | 2 | 35.23 | odd | 12 | |||
147.3.f.c.31.1 | 2 | 35.13 | even | 4 | |||
336.3.bh.a.145.1 | 2 | 140.103 | odd | 12 | |||
336.3.bh.a.241.1 | 2 | 20.3 | even | 4 | |||
441.3.d.b.244.1 | 2 | 105.38 | odd | 12 | |||
441.3.d.b.244.2 | 2 | 105.53 | even | 12 | |||
441.3.m.e.19.1 | 2 | 105.23 | even | 12 | |||
441.3.m.e.325.1 | 2 | 105.83 | odd | 4 | |||
525.3.o.g.376.1 | 2 | 35.12 | even | 12 | |||
525.3.o.g.451.1 | 2 | 5.2 | odd | 4 | |||
525.3.s.c.124.1 | 4 | 7.5 | odd | 6 | inner | ||
525.3.s.c.124.2 | 4 | 35.19 | odd | 6 | inner | ||
525.3.s.c.199.1 | 4 | 5.4 | even | 2 | inner | ||
525.3.s.c.199.2 | 4 | 1.1 | even | 1 | trivial | ||
1008.3.cg.g.145.1 | 2 | 420.383 | even | 12 | |||
1008.3.cg.g.577.1 | 2 | 60.23 | odd | 4 | |||
2352.3.f.d.97.1 | 2 | 140.3 | odd | 12 | |||
2352.3.f.d.97.2 | 2 | 140.123 | even | 12 |