Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(7,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 114.e (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 | 49.1 | ||
Root | of defining polynomial | ||
Character | 114.49 | ||
Dual form | 114.2.e.b.7.1 |
-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 .
0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | |||||
0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | |||||
−0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | |||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
−0.500000 | − | 0.866025i | −0.204124 | − | 0.353553i | |||||
1.00000 | 0.377964 | 0.188982 | − | 0.981981i | ||||||
0.188982 | + | 0.981981i | ||||||||
−1.00000 | −0.353553 | |||||||||
−0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | |||||
0 | 0 | |||||||||
−2.00000 | −0.603023 | −0.301511 | − | 0.953463i | ||||||
−0.301511 | + | 0.953463i | ||||||||
−1.00000 | −0.288675 | |||||||||
1.50000 | + | 2.59808i | 0.416025 | + | 0.720577i | 0.995535 | − | 0.0943882i | ||
−0.579510 | + | 0.814965i | ||||||||
0.500000 | − | 0.866025i | 0.133631 | − | 0.231455i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | |||||
−2.00000 | + | 3.46410i | −0.485071 | + | 0.840168i | −0.999853 | − | 0.0171533i | ||
0.514782 | + | 0.857321i | ||||||||
−1.00000 | −0.235702 | |||||||||
4.00000 | + | 1.73205i | 0.917663 | + | 0.397360i | |||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.109109 | − | 0.188982i | |||||
−1.00000 | + | 1.73205i | −0.213201 | + | 0.369274i | |||||
−2.00000 | − | 3.46410i | −0.417029 | − | 0.722315i | 0.578610 | − | 0.815604i | ||
−0.995639 | + | 0.0932891i | ||||||||
−0.500000 | + | 0.866025i | −0.102062 | + | 0.176777i | |||||
2.50000 | + | 4.33013i | 0.500000 | + | 0.866025i | |||||
3.00000 | 0.588348 | |||||||||
−1.00000 | −0.192450 | |||||||||
−0.500000 | − | 0.866025i | −0.0944911 | − | 0.163663i | |||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
0 | 0 | |||||||||
−3.00000 | −0.538816 | −0.269408 | − | 0.963026i | ||||||
−0.269408 | + | 0.963026i | ||||||||
0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | |||||
−1.00000 | + | 1.73205i | −0.174078 | + | 0.301511i | |||||
2.00000 | + | 3.46410i | 0.342997 | + | 0.594089i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | |||||
−5.00000 | −0.821995 | −0.410997 | − | 0.911636i | ||||||
−0.410997 | + | 0.911636i | ||||||||
3.50000 | − | 2.59808i | 0.567775 | − | 0.421464i | |||||
3.00000 | 0.480384 | |||||||||
0 | 0 | |||||||||
−2.00000 | + | 3.46410i | −0.312348 | + | 0.541002i | −0.978870 | − | 0.204483i | ||
0.666523 | + | 0.745485i | ||||||||
−0.500000 | − | 0.866025i | −0.0771517 | − | 0.133631i | |||||
4.50000 | − | 7.79423i | 0.686244 | − | 1.18861i | −0.286801 | − | 0.957990i | ||
0.973044 | − | 0.230618i | ||||||||
1.00000 | + | 1.73205i | 0.150756 | + | 0.261116i | |||||
0 | 0 | |||||||||
−4.00000 | −0.589768 | |||||||||
−5.00000 | − | 8.66025i | −0.729325 | − | 1.26323i | −0.957169 | − | 0.289530i | ||
0.227844 | − | 0.973698i | ||||||||
0.500000 | + | 0.866025i | 0.0721688 | + | 0.125000i | |||||
−6.00000 | −0.857143 | |||||||||
5.00000 | 0.707107 | |||||||||
2.00000 | + | 3.46410i | 0.280056 | + | 0.485071i | |||||
1.50000 | − | 2.59808i | 0.208013 | − | 0.360288i | |||||
2.00000 | + | 3.46410i | 0.274721 | + | 0.475831i | 0.970065 | − | 0.242846i | ||
−0.695344 | + | 0.718677i | ||||||||
−0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | |||||
0 | 0 | |||||||||
−1.00000 | −0.133631 | |||||||||
3.50000 | − | 2.59808i | 0.463586 | − | 0.344124i | |||||
0 | 0 | |||||||||
7.00000 | − | 12.1244i | 0.911322 | − | 1.57846i | 0.0991242 | − | 0.995075i | ||
0.812198 | − | 0.583382i | ||||||||
0 | 0 | |||||||||
−5.50000 | − | 9.52628i | −0.704203 | − | 1.21972i | −0.966978 | − | 0.254858i | ||
0.262776 | − | 0.964857i | ||||||||
−1.50000 | + | 2.59808i | −0.190500 | + | 0.329956i | |||||
−0.500000 | − | 0.866025i | −0.0629941 | − | 0.109109i | |||||
1.00000 | 0.125000 | |||||||||
0 | 0 | |||||||||
1.00000 | + | 1.73205i | 0.123091 | + | 0.213201i | |||||
−1.50000 | − | 2.59808i | −0.183254 | − | 0.317406i | 0.759733 | − | 0.650236i | ||
−0.942987 | + | 0.332830i | ||||||||
4.00000 | 0.485071 | |||||||||
−4.00000 | −0.481543 | |||||||||
0 | 0 | |||||||||
−7.00000 | + | 12.1244i | −0.830747 | + | 1.43890i | 0.0666994 | + | 0.997773i | ||
−0.897447 | + | 0.441123i | ||||||||
0.500000 | + | 0.866025i | 0.0589256 | + | 0.102062i | |||||
5.50000 | − | 9.52628i | 0.643726 | − | 1.11497i | −0.340868 | − | 0.940111i | ||
0.984594 | − | 0.174855i | ||||||||
−2.50000 | + | 4.33013i | −0.290619 | + | 0.503367i | |||||
5.00000 | 0.577350 | |||||||||
−0.500000 | − | 4.33013i | −0.0573539 | − | 0.496700i | |||||
−2.00000 | −0.227921 | |||||||||
1.50000 | − | 2.59808i | 0.169842 | − | 0.294174i | |||||
−0.500000 | + | 0.866025i | −0.0562544 | + | 0.0974355i | −0.892781 | − | 0.450490i | ||
0.836527 | + | 0.547926i | ||||||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | |||||
2.00000 | + | 3.46410i | 0.220863 | + | 0.382546i | |||||
8.00000 | 0.878114 | 0.439057 | − | 0.898459i | ||||||
0.439057 | + | 0.898459i | ||||||||
−1.00000 | −0.109109 | |||||||||
0 | 0 | |||||||||
−4.50000 | − | 7.79423i | −0.485247 | − | 0.840473i | |||||
0 | 0 | |||||||||
2.00000 | 0.213201 | |||||||||
7.00000 | + | 12.1244i | 0.741999 | + | 1.28518i | 0.951584 | + | 0.307389i | ||
−0.209585 | + | 0.977790i | ||||||||
0 | 0 | |||||||||
1.50000 | + | 2.59808i | 0.157243 | + | 0.272352i | |||||
−2.00000 | + | 3.46410i | −0.208514 | + | 0.361158i | |||||
−1.50000 | + | 2.59808i | −0.155543 | + | 0.269408i | |||||
−10.0000 | −1.03142 | |||||||||
0 | 0 | |||||||||
1.00000 | 0.102062 | |||||||||
−1.00000 | + | 1.73205i | −0.101535 | + | 0.175863i | −0.912317 | − | 0.409484i | ||
0.810782 | + | 0.585348i | ||||||||
−3.00000 | + | 5.19615i | −0.303046 | + | 0.524891i | |||||
1.00000 | + | 1.73205i | 0.100504 | + | 0.174078i | |||||
2.50000 | − | 4.33013i | 0.250000 | − | 0.433013i | |||||
5.00000 | + | 8.66025i | 0.497519 | + | 0.861727i | 0.999996 | − | 0.00286291i | ||
−0.502477 | + | 0.864590i | ||||||||
4.00000 | 0.396059 | |||||||||
−3.00000 | −0.295599 | −0.147799 | − | 0.989017i | ||||||
−0.147799 | + | 0.989017i | ||||||||
−1.50000 | − | 2.59808i | −0.147087 | − | 0.254762i | |||||
0 | 0 | |||||||||
4.00000 | 0.388514 | |||||||||
−10.0000 | −0.966736 | −0.483368 | − | 0.875417i | ||||||
−0.483368 | + | 0.875417i | ||||||||
0.500000 | + | 0.866025i | 0.0481125 | + | 0.0833333i | |||||
−7.00000 | + | 12.1244i | −0.670478 | + | 1.16130i | 0.307290 | + | 0.951616i | ||
−0.977769 | + | 0.209687i | ||||||||
0 | 0 | |||||||||
−2.50000 | + | 4.33013i | −0.237289 | + | 0.410997i | |||||
−0.500000 | + | 0.866025i | −0.0472456 | + | 0.0818317i | |||||
10.0000 | 0.940721 | 0.470360 | − | 0.882474i | ||||||
0.470360 | + | 0.882474i | ||||||||
−0.500000 | − | 4.33013i | −0.0468293 | − | 0.405554i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.50000 | − | 2.59808i | 0.138675 | − | 0.240192i | |||||
−7.00000 | − | 12.1244i | −0.644402 | − | 1.11614i | |||||
−2.00000 | + | 3.46410i | −0.183340 | + | 0.317554i | |||||
0 | 0 | |||||||||
−7.00000 | −0.636364 | |||||||||
−11.0000 | −0.995893 | |||||||||
2.00000 | + | 3.46410i | 0.180334 | + | 0.312348i | |||||
1.50000 | + | 2.59808i | 0.134704 | + | 0.233314i | |||||
0 | 0 | |||||||||
−1.00000 | −0.0890871 | |||||||||
4.00000 | + | 6.92820i | 0.354943 | + | 0.614779i | 0.987108 | − | 0.160055i | ||
−0.632166 | + | 0.774833i | ||||||||
0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | |||||
−4.50000 | − | 7.79423i | −0.396203 | − | 0.686244i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.262111 | − | 0.453990i | −0.704692 | − | 0.709514i | ||
0.966803 | + | 0.255524i | ||||||||
2.00000 | 0.174078 | |||||||||
4.00000 | + | 1.73205i | 0.346844 | + | 0.150188i | |||||
−3.00000 | −0.259161 | |||||||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.171499 | − | 0.297044i | |||||
3.00000 | + | 5.19615i | 0.256307 | + | 0.443937i | 0.965250 | − | 0.261329i | ||
−0.708942 | + | 0.705266i | ||||||||
−2.00000 | + | 3.46410i | −0.170251 | + | 0.294884i | |||||
9.50000 | + | 16.4545i | 0.805779 | + | 1.39565i | 0.915764 | + | 0.401718i | ||
−0.109984 | + | 0.993933i | ||||||||
0 | 0 | |||||||||
−10.0000 | −0.842152 | |||||||||
7.00000 | + | 12.1244i | 0.587427 | + | 1.01745i | |||||
−3.00000 | − | 5.19615i | −0.250873 | − | 0.434524i | |||||
1.00000 | 0.0833333 | |||||||||
0 | 0 | |||||||||
−5.50000 | − | 9.52628i | −0.455183 | − | 0.788400i | |||||
−3.00000 | + | 5.19615i | −0.247436 | + | 0.428571i | |||||
2.50000 | + | 4.33013i | 0.205499 | + | 0.355934i | |||||
11.0000 | − | 19.0526i | 0.901155 | − | 1.56085i | 0.0751583 | − | 0.997172i | ||
0.825997 | − | 0.563675i | ||||||||
2.50000 | − | 4.33013i | 0.204124 | − | 0.353553i | |||||
−20.0000 | −1.62758 | −0.813788 | − | 0.581161i | ||||||
−0.813788 | + | 0.581161i | ||||||||
−4.00000 | − | 1.73205i | −0.324443 | − | 0.140488i | |||||
4.00000 | 0.323381 | |||||||||
−1.00000 | + | 1.73205i | −0.0805823 | + | 0.139573i | |||||
0 | 0 | |||||||||
−1.50000 | − | 2.59808i | −0.120096 | − | 0.208013i | |||||
10.5000 | − | 18.1865i | 0.837991 | − | 1.45144i | −0.0535803 | − | 0.998564i | ||
0.891572 | − | 0.452880i | ||||||||
0.500000 | + | 0.866025i | 0.0397779 | + | 0.0688973i | |||||
4.00000 | 0.317221 | |||||||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.157622 | − | 0.273009i | |||||
0.500000 | + | 0.866025i | 0.0392837 | + | 0.0680414i | |||||
11.0000 | 0.861586 | 0.430793 | − | 0.902451i | ||||||
0.430793 | + | 0.902451i | ||||||||
4.00000 | 0.312348 | |||||||||
0 | 0 | |||||||||
4.00000 | − | 6.92820i | 0.310460 | − | 0.537733i | |||||
−3.00000 | − | 5.19615i | −0.232147 | − | 0.402090i | 0.726293 | − | 0.687386i | ||
−0.958440 | + | 0.285295i | ||||||||
−0.500000 | + | 0.866025i | −0.0385758 | + | 0.0668153i | |||||
2.00000 | − | 3.46410i | 0.153846 | − | 0.266469i | |||||
0 | 0 | |||||||||
−0.500000 | − | 4.33013i | −0.0382360 | − | 0.331133i | |||||
−9.00000 | −0.686244 | |||||||||
12.0000 | − | 20.7846i | 0.912343 | − | 1.58022i | 0.101598 | − | 0.994826i | ||
0.810745 | − | 0.585399i | ||||||||
0 | 0 | |||||||||
2.50000 | + | 4.33013i | 0.188982 | + | 0.327327i | |||||
1.00000 | − | 1.73205i | 0.0753778 | − | 0.130558i | |||||
−7.00000 | − | 12.1244i | −0.526152 | − | 0.911322i | |||||
14.0000 | 1.04934 | |||||||||
4.00000 | 0.298974 | 0.149487 | − | 0.988764i | ||||||
0.149487 | + | 0.988764i | ||||||||
0 | 0 | |||||||||
9.00000 | + | 15.5885i | 0.668965 | + | 1.15868i | 0.978194 | + | 0.207693i | ||
−0.309229 | + | 0.950988i | ||||||||
3.00000 | 0.222375 | |||||||||
−11.0000 | −0.813143 | |||||||||
2.00000 | + | 3.46410i | 0.147442 | + | 0.255377i | |||||
0 | 0 | |||||||||
1.50000 | + | 2.59808i | 0.109985 | + | 0.190500i | |||||
4.00000 | − | 6.92820i | 0.292509 | − | 0.506640i | |||||
−5.00000 | + | 8.66025i | −0.364662 | + | 0.631614i | |||||
−1.00000 | −0.0727393 | |||||||||
0 | 0 | |||||||||
−8.00000 | −0.578860 | −0.289430 | − | 0.957199i | ||||||
−0.289430 | + | 0.957199i | ||||||||
0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | |||||
6.50000 | − | 11.2583i | 0.467880 | − | 0.810392i | −0.531446 | − | 0.847092i | ||
0.999326 | + | 0.0366998i | ||||||||
1.00000 | + | 1.73205i | 0.0717958 | + | 0.124354i | |||||
0 | 0 | |||||||||
3.00000 | + | 5.19615i | 0.214286 | + | 0.371154i | |||||
−2.00000 | −0.142494 | −0.0712470 | − | 0.997459i | ||||||
−0.0712470 | + | 0.997459i | ||||||||
2.00000 | 0.142134 | |||||||||
−2.50000 | − | 4.33013i | −0.177220 | − | 0.306955i | 0.763707 | − | 0.645563i | ||
−0.940927 | + | 0.338608i | ||||||||
−2.50000 | − | 4.33013i | −0.176777 | − | 0.306186i | |||||
−3.00000 | −0.211604 | |||||||||
10.0000 | 0.703598 | |||||||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.140028 | − | 0.242536i | |||||
0 | 0 | |||||||||
−1.50000 | + | 2.59808i | −0.104510 | + | 0.181017i | |||||
−2.00000 | + | 3.46410i | −0.139010 | + | 0.240772i | |||||
−3.00000 | −0.208013 | |||||||||
−8.00000 | − | 3.46410i | −0.553372 | − | 0.239617i | |||||
0 | 0 | |||||||||
−12.5000 | + | 21.6506i | −0.860535 | + | 1.49049i | 0.0108774 | + | 0.999941i | ||
−0.871413 | + | 0.490550i | ||||||||
2.00000 | − | 3.46410i | 0.137361 | − | 0.237915i | |||||
7.00000 | + | 12.1244i | 0.479632 | + | 0.830747i | |||||
−5.00000 | + | 8.66025i | −0.341793 | + | 0.592003i | |||||
0 | 0 | |||||||||
1.00000 | 0.0680414 | |||||||||
−3.00000 | −0.203653 | |||||||||
7.00000 | + | 12.1244i | 0.474100 | + | 0.821165i | |||||
−5.50000 | − | 9.52628i | −0.371656 | − | 0.643726i | |||||
0 | 0 | |||||||||
−12.0000 | −0.807207 | |||||||||
2.50000 | + | 4.33013i | 0.167789 | + | 0.290619i | |||||
−4.50000 | + | 7.79423i | −0.301342 | + | 0.521940i | −0.976440 | − | 0.215788i | ||
0.675098 | + | 0.737728i | ||||||||
0.500000 | + | 0.866025i | 0.0334077 | + | 0.0578638i | |||||
2.50000 | − | 4.33013i | 0.166667 | − | 0.288675i | |||||
5.00000 | − | 8.66025i | 0.332595 | − | 0.576072i | |||||
8.00000 | 0.530979 | 0.265489 | − | 0.964114i | ||||||
0.265489 | + | 0.964114i | ||||||||
−4.00000 | − | 1.73205i | −0.264906 | − | 0.114708i | |||||
−11.0000 | −0.726900 | −0.363450 | − | 0.931614i | ||||||
−0.363450 | + | 0.931614i | ||||||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0657952 | + | 0.113961i | |||||
0 | 0 | |||||||||
−9.00000 | + | 15.5885i | −0.589610 | + | 1.02123i | 0.404674 | + | 0.914461i | ||
−0.994283 | + | 0.106773i | ||||||||
−1.50000 | − | 2.59808i | −0.0980581 | − | 0.169842i | |||||
0 | 0 | |||||||||
−14.0000 | −0.911322 | |||||||||
0.500000 | + | 0.866025i | 0.0324785 | + | 0.0562544i | |||||
2.00000 | + | 3.46410i | 0.129641 | + | 0.224544i | |||||
−12.0000 | −0.776215 | −0.388108 | − | 0.921614i | ||||||
−0.388108 | + | 0.921614i | ||||||||
0 | 0 | |||||||||
−12.5000 | − | 21.6506i | −0.805196 | − | 1.39464i | −0.916159 | − | 0.400815i | ||
0.110963 | − | 0.993825i | ||||||||
−3.50000 | + | 6.06218i | −0.224989 | + | 0.389692i | |||||
0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | |||||
−5.50000 | + | 9.52628i | −0.352101 | + | 0.609858i | |||||
0 | 0 | |||||||||
4.00000 | 0.255031 | |||||||||
1.50000 | + | 12.9904i | 0.0954427 | + | 0.826558i | |||||
3.00000 | 0.190500 | |||||||||
4.00000 | − | 6.92820i | 0.253490 | − | 0.439057i | |||||
0 | 0 | |||||||||
9.00000 | + | 15.5885i | 0.568075 | + | 0.983935i | 0.996756 | + | 0.0804789i | ||
−0.428681 | + | 0.903456i | ||||||||
−0.500000 | + | 0.866025i | −0.0314970 | + | 0.0545545i | |||||
4.00000 | + | 6.92820i | 0.251478 | + | 0.435572i | |||||
8.00000 | 0.501965 | |||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | |||||
6.00000 | + | 10.3923i | 0.374270 | + | 0.648254i | 0.990217 | − | 0.139533i | ||
−0.615948 | + | 0.787787i | ||||||||
−9.00000 | −0.560316 | |||||||||
−5.00000 | −0.310685 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.00000 | − | 5.19615i | −0.185341 | − | 0.321019i | |||||
−9.00000 | + | 15.5885i | −0.554964 | + | 0.961225i | 0.442943 | + | 0.896550i | ||
−0.997906 | + | 0.0646755i | ||||||||
1.00000 | − | 1.73205i | 0.0615457 | − | 0.106600i | |||||
0 | 0 | |||||||||
3.50000 | − | 2.59808i | 0.214599 | − | 0.159298i | |||||
14.0000 | 0.856786 | |||||||||
−1.50000 | + | 2.59808i | −0.0916271 | + | 0.158703i | |||||
−1.00000 | + | 1.73205i | −0.0609711 | + | 0.105605i | −0.894900 | − | 0.446267i | ||
0.833929 | + | 0.551872i | ||||||||
0 | 0 | |||||||||
8.00000 | − | 13.8564i | 0.485965 | − | 0.841717i | −0.513905 | − | 0.857847i | ||
0.999870 | + | 0.0161307i | ||||||||
−2.00000 | − | 3.46410i | −0.121268 | − | 0.210042i | |||||
3.00000 | 0.181568 | |||||||||
6.00000 | 0.362473 | |||||||||
−5.00000 | − | 8.66025i | −0.301511 | − | 0.522233i | |||||
2.00000 | + | 3.46410i | 0.120386 | + | 0.208514i | |||||
−2.00000 | −0.120168 | −0.0600842 | − | 0.998193i | ||||||
−0.0600842 | + | 0.998193i | ||||||||
19.0000 | 1.13954 | |||||||||
1.50000 | + | 2.59808i | 0.0898027 | + | 0.155543i | |||||
0 | 0 | |||||||||
4.00000 | + | 6.92820i | 0.238620 | + | 0.413302i | 0.960319 | − | 0.278906i | ||
−0.721699 | + | 0.692207i | ||||||||
−5.00000 | + | 8.66025i | −0.297746 | + | 0.515711i | |||||
10.0000 | − | 17.3205i | 0.594438 | − | 1.02960i | −0.399188 | − | 0.916869i | ||
0.993626 | − | 0.112728i | ||||||||
14.0000 | 0.830747 | |||||||||
0 | 0 | |||||||||
−6.00000 | −0.354787 | |||||||||
−2.00000 | + | 3.46410i | −0.118056 | + | 0.204479i | |||||
0.500000 | − | 0.866025i | 0.0294628 | − | 0.0510310i | |||||
0.500000 | + | 0.866025i | 0.0294118 | + | 0.0509427i | |||||
0 | 0 | |||||||||
1.00000 | + | 1.73205i | 0.0586210 | + | 0.101535i | |||||
−11.0000 | −0.643726 | |||||||||
14.0000 | 0.817889 | 0.408944 | − | 0.912559i | ||||||
0.408944 | + | 0.912559i | ||||||||
3.00000 | + | 5.19615i | 0.174964 | + | 0.303046i | |||||
0 | 0 | |||||||||
5.00000 | 0.290619 | |||||||||
2.00000 | 0.116052 | |||||||||
−11.0000 | − | 19.0526i | −0.637213 | − | 1.10369i | |||||
6.00000 | − | 10.3923i | 0.346989 | − | 0.601003i | |||||
−2.50000 | − | 4.33013i | −0.144338 | − | 0.250000i | |||||
4.50000 | − | 7.79423i | 0.259376 | − | 0.449252i | |||||
−10.0000 | + | 17.3205i | −0.575435 | + | 0.996683i | |||||
10.0000 | 0.574485 | |||||||||
−3.50000 | + | 2.59808i | −0.200739 | + | 0.149010i | |||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.114332 | − | 0.198030i | |||||
6.00000 | − | 10.3923i | 0.342438 | − | 0.593120i | −0.642447 | − | 0.766330i | ||
0.984885 | + | 0.173210i | ||||||||
1.00000 | + | 1.73205i | 0.0569803 | + | 0.0986928i | |||||
−1.50000 | + | 2.59808i | −0.0853320 | + | 0.147799i | |||||
0 | 0 | |||||||||
10.0000 | 0.567048 | 0.283524 | − | 0.958965i | ||||||
0.283524 | + | 0.958965i | ||||||||
−3.00000 | −0.169842 | |||||||||
−3.00000 | − | 5.19615i | −0.169570 | − | 0.293704i | 0.768699 | − | 0.639611i | ||
−0.938269 | + | 0.345907i | ||||||||
−10.5000 | − | 18.1865i | −0.592549 | − | 1.02633i | |||||
0 | 0 | |||||||||
1.00000 | 0.0562544 | |||||||||
−6.00000 | − | 10.3923i | −0.336994 | − | 0.583690i | 0.646872 | − | 0.762598i | ||
−0.983866 | + | 0.178908i | ||||||||
2.00000 | − | 3.46410i | 0.112154 | − | 0.194257i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.00000 | + | 8.66025i | −0.279073 | + | 0.483368i | |||||
−4.00000 | −0.222911 | |||||||||
−14.0000 | + | 10.3923i | −0.778981 | + | 0.578243i | |||||
1.00000 | 0.0555556 | |||||||||
−7.50000 | + | 12.9904i | −0.416025 | + | 0.720577i | |||||
5.50000 | − | 9.52628i | 0.304617 | − | 0.527612i | |||||
7.00000 | + | 12.1244i | 0.387101 | + | 0.670478i | |||||
2.00000 | − | 3.46410i | 0.110432 | − | 0.191273i | |||||
−5.00000 | − | 8.66025i | −0.275659 | − | 0.477455i | |||||
0 | 0 | |||||||||
15.0000 | 0.824475 | 0.412237 | − | 0.911077i | ||||||
0.412237 | + | 0.911077i | ||||||||
−4.00000 | − | 6.92820i | −0.219529 | − | 0.380235i | |||||
2.50000 | + | 4.33013i | 0.136999 | + | 0.237289i | |||||
−6.00000 | −0.328305 | |||||||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.0272772 | + | 0.0472456i | |||||
9.50000 | − | 16.4545i | 0.517498 | − | 0.896333i | −0.482295 | − | 0.876009i | ||
0.999793 | − | 0.0203242i | ||||||||
−2.00000 | − | 3.46410i | −0.108786 | − | 0.188422i | |||||
5.00000 | − | 8.66025i | 0.271563 | − | 0.470360i | |||||
0 | 0 | |||||||||
6.00000 | 0.324918 | |||||||||
−4.00000 | − | 1.73205i | −0.216295 | − | 0.0936586i | |||||
−13.0000 | −0.701934 | |||||||||
−4.50000 | + | 7.79423i | −0.242624 | + | 0.420237i | |||||
0 | 0 | |||||||||
−12.0000 | − | 20.7846i | −0.645124 | − | 1.11739i | |||||
−8.00000 | + | 13.8564i | −0.429463 | + | 0.743851i | −0.996826 | − | 0.0796169i | ||
0.567363 | + | 0.823468i | ||||||||
0 | 0 | |||||||||
−29.0000 | −1.55233 | −0.776167 | − | 0.630527i | ||||||
−0.776167 | + | 0.630527i | ||||||||
5.00000 | 0.267261 | |||||||||
−1.50000 | − | 2.59808i | −0.0800641 | − | 0.138675i | |||||
−1.00000 | − | 1.73205i | −0.0533002 | − | 0.0923186i | |||||
−12.0000 | −0.638696 | −0.319348 | − | 0.947638i | ||||||
−0.319348 | + | 0.947638i | ||||||||
−14.0000 | −0.744092 | |||||||||
0 | 0 | |||||||||
7.00000 | − | 12.1244i | 0.370999 | − | 0.642590i | |||||
2.00000 | + | 3.46410i | 0.105851 | + | 0.183340i | |||||
2.00000 | − | 3.46410i | 0.105703 | − | 0.183083i | |||||
18.0000 | − | 31.1769i | 0.950004 | − | 1.64545i | 0.204595 | − | 0.978847i | ||
0.745409 | − | 0.666608i | ||||||||
0 | 0 | |||||||||
13.0000 | + | 13.8564i | 0.684211 | + | 0.729285i | |||||
18.0000 | 0.946059 | |||||||||
−3.50000 | + | 6.06218i | −0.183702 | + | 0.318182i | |||||
1.50000 | − | 2.59808i | 0.0786214 | − | 0.136176i | |||||
0 | 0 | |||||||||
−5.50000 | + | 9.52628i | −0.287490 | + | 0.497947i | |||||
−11.5000 | − | 19.9186i | −0.600295 | − | 1.03974i | −0.992776 | − | 0.119982i | ||
0.392481 | − | 0.919760i | ||||||||
4.00000 | 0.208514 | |||||||||
4.00000 | 0.208232 | |||||||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.103835 | + | 0.179847i | |||||
3.00000 | 0.155543 | |||||||||
26.0000 | 1.34623 | 0.673114 | − | 0.739538i | ||||||
0.673114 | + | 0.739538i | ||||||||
−4.00000 | − | 6.92820i | −0.206835 | − | 0.358249i | |||||
0 | 0 | |||||||||
5.00000 | + | 8.66025i | 0.257855 | + | 0.446619i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0257172 | + | 0.0445435i | |||||
−13.0000 | −0.667765 | −0.333883 | − | 0.942615i | ||||||
−0.333883 | + | 0.942615i | ||||||||
0 | 0 | |||||||||
8.00000 | 0.409852 | |||||||||
−4.00000 | + | 6.92820i | −0.204658 | + | 0.354478i | |||||
−7.00000 | + | 12.1244i | −0.357683 | + | 0.619526i | −0.987573 | − | 0.157159i | ||
0.629890 | + | 0.776684i | ||||||||
−0.500000 | − | 0.866025i | −0.0255155 | − | 0.0441942i | |||||
0 | 0 | |||||||||
−6.50000 | − | 11.2583i | −0.330841 | − | 0.573034i | |||||
−9.00000 | −0.457496 | |||||||||
2.00000 | 0.101535 | |||||||||
8.00000 | + | 13.8564i | 0.405616 | + | 0.702548i | 0.994393 | − | 0.105748i | ||
−0.588777 | + | 0.808296i | ||||||||
0 | 0 | |||||||||
16.0000 | 0.809155 | |||||||||
6.00000 | 0.303046 | |||||||||
−3.00000 | − | 5.19615i | −0.151330 | − | 0.262111i | |||||
−1.00000 | + | 1.73205i | −0.0503793 | + | 0.0872595i | |||||
0 | 0 | |||||||||
1.00000 | − | 1.73205i | 0.0502519 | − | 0.0870388i | |||||
−7.50000 | + | 12.9904i | −0.376414 | + | 0.651969i | −0.990538 | − | 0.137241i | ||
0.614123 | + | 0.789210i | ||||||||
−5.00000 | −0.250627 | |||||||||
3.50000 | − | 2.59808i | 0.175219 | − | 0.130066i | |||||
−5.00000 | −0.250000 | |||||||||
−9.00000 | + | 15.5885i | −0.449439 | + | 0.778450i | −0.998350 | − | 0.0574304i | ||
0.548911 | + | 0.835881i | ||||||||
−1.50000 | + | 2.59808i | −0.0748132 | + | 0.129580i | |||||
−4.50000 | − | 7.79423i | −0.224161 | − | 0.388258i | |||||
5.00000 | − | 8.66025i | 0.248759 | − | 0.430864i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.0000 | 0.495682 | |||||||||
−2.00000 | − | 3.46410i | −0.0990148 | − | 0.171499i | |||||
15.0000 | + | 25.9808i | 0.741702 | + | 1.28467i | 0.951720 | + | 0.306968i | ||
−0.210017 | + | 0.977698i | ||||||||
0 | 0 | |||||||||
6.00000 | 0.295958 | |||||||||
1.50000 | + | 2.59808i | 0.0738997 | + | 0.127998i | |||||
7.00000 | − | 12.1244i | 0.344447 | − | 0.596601i | |||||
2.00000 | + | 3.46410i | 0.0982946 | + | 0.170251i | |||||
0 | 0 | |||||||||
−1.50000 | + | 2.59808i | −0.0735436 | + | 0.127381i | |||||
19.0000 | 0.930434 | |||||||||
−7.00000 | + | 5.19615i | −0.342381 | + | 0.254152i | |||||
18.0000 | 0.879358 | 0.439679 | − | 0.898155i | ||||||
0.439679 | + | 0.898155i | ||||||||
0 | 0 | |||||||||
−5.00000 | + | 8.66025i | −0.243685 | + | 0.422075i | −0.961761 | − | 0.273890i | ||
0.718076 | + | 0.695965i | ||||||||
12.5000 | + | 21.6506i | 0.608490 | + | 1.05394i | |||||
−5.00000 | + | 8.66025i | −0.243108 | + | 0.421076i | |||||
−2.00000 | − | 3.46410i | −0.0971286 | − | 0.168232i | |||||
−20.0000 | −0.970143 | |||||||||
14.0000 | 0.678302 | |||||||||
−5.50000 | − | 9.52628i | −0.266164 | − | 0.461009i | |||||
5.00000 | + | 8.66025i | 0.241684 | + | 0.418609i | |||||
−6.00000 | −0.289683 | |||||||||
0 | 0 | |||||||||
5.00000 | + | 8.66025i | 0.240842 | + | 0.417150i | 0.960954 | − | 0.276707i | ||
−0.720113 | + | 0.693857i | ||||||||
0.500000 | − | 0.866025i | 0.0240563 | − | 0.0416667i | |||||
4.50000 | + | 7.79423i | 0.216256 | + | 0.374567i | 0.953660 | − | 0.300885i | ||
−0.737404 | + | 0.675452i | ||||||||
−1.50000 | + | 2.59808i | −0.0720023 | + | 0.124712i | |||||
0 | 0 | |||||||||
14.0000 | 0.670478 | |||||||||
−2.00000 | − | 17.3205i | −0.0956730 | − | 0.828552i | |||||
−11.0000 | −0.525600 | |||||||||
−9.50000 | + | 16.4545i | −0.453410 | + | 0.785330i | −0.998595 | − | 0.0529862i | ||
0.545185 | + | 0.838316i | ||||||||
0 | 0 | |||||||||
3.00000 | + | 5.19615i | 0.142857 | + | 0.247436i | |||||
−6.00000 | + | 10.3923i | −0.285391 | + | 0.494312i | |||||
−12.0000 | − | 20.7846i | −0.570137 | − | 0.987507i | −0.996551 | − | 0.0829786i | ||
0.426414 | − | 0.904528i | ||||||||
5.00000 | 0.237289 | |||||||||
0 | 0 | |||||||||
4.50000 | + | 7.79423i | 0.213081 | + | 0.369067i | |||||
−11.0000 | − | 19.0526i | −0.520282 | − | 0.901155i | |||||
1.00000 | 0.0472456 | |||||||||
−36.0000 | −1.69895 | −0.849473 | − | 0.527633i | ||||||
−0.849473 | + | 0.527633i | ||||||||
−2.50000 | − | 4.33013i | −0.117851 | − | 0.204124i | |||||
4.00000 | − | 6.92820i | 0.188353 | − | 0.326236i | |||||
−5.00000 | − | 8.66025i | −0.235180 | − | 0.407344i | |||||
−10.0000 | + | 17.3205i | −0.469841 | + | 0.813788i | |||||
4.00000 | − | 6.92820i | 0.187729 | − | 0.325157i | |||||
0 | 0 | |||||||||
−3.50000 | + | 2.59808i | −0.163903 | + | 0.121666i | |||||
5.00000 | 0.233890 | 0.116945 | − | 0.993138i | ||||||
0.116945 | + | 0.993138i | ||||||||
−5.50000 | + | 9.52628i | −0.256998 | + | 0.445134i | |||||
2.00000 | − | 3.46410i | 0.0933520 | − | 0.161690i | |||||
0 | 0 | |||||||||
−3.00000 | + | 5.19615i | −0.139724 | + | 0.242009i | −0.927392 | − | 0.374091i | ||
0.787668 | + | 0.616100i | ||||||||
1.00000 | + | 1.73205i | 0.0465242 | + | 0.0805823i | |||||
−9.00000 | −0.418265 | −0.209133 | − | 0.977887i | ||||||
−0.209133 | + | 0.977887i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.00000 | + | 15.5885i | 0.416917 | + | 0.722121i | |||||
8.00000 | 0.370196 | 0.185098 | − | 0.982720i | ||||||
0.185098 | + | 0.982720i | ||||||||
−3.00000 | −0.138675 | |||||||||
−1.50000 | − | 2.59808i | −0.0692636 | − | 0.119968i | |||||
0 | 0 | |||||||||
−10.5000 | − | 18.1865i | −0.483814 | − | 0.837991i | |||||
−7.00000 | + | 12.1244i | −0.322201 | + | 0.558069i | |||||
−9.00000 | + | 15.5885i | −0.413820 | + | 0.716758i | |||||
1.00000 | 0.0459315 | |||||||||
2.50000 | + | 21.6506i | 0.114708 | + | 0.993399i | |||||
4.00000 | 0.183340 | |||||||||
2.00000 | − | 3.46410i | 0.0915737 | − | 0.158610i | |||||
−6.00000 | + | 10.3923i | −0.274434 | + | 0.475333i | |||||
−3.00000 | − | 5.19615i | −0.137073 | − | 0.237418i | 0.789314 | − | 0.613990i | ||
−0.926388 | + | 0.376571i | ||||||||
0 | 0 | |||||||||
−7.50000 | − | 12.9904i | −0.341971 | − | 0.592310i | |||||
−25.0000 | −1.13872 | |||||||||
−4.00000 | −0.182006 | |||||||||
3.50000 | + | 6.06218i | 0.159091 | + | 0.275554i | |||||
0 | 0 | |||||||||
1.00000 | 0.0453609 | |||||||||
32.0000 | 1.45006 | 0.725029 | − | 0.688718i | ||||||
0.725029 | + | 0.688718i | ||||||||
5.50000 | + | 9.52628i | 0.248973 | + | 0.431234i | |||||
5.50000 | − | 9.52628i | 0.248719 | − | 0.430793i | |||||
0 | 0 | |||||||||
−15.0000 | + | 25.9808i | −0.676941 | + | 1.17250i | 0.298957 | + | 0.954267i | ||
−0.975898 | + | 0.218229i | ||||||||
2.00000 | − | 3.46410i | 0.0901670 | − | 0.156174i | |||||
0 | 0 | |||||||||
12.0000 | + | 5.19615i | 0.539906 | + | 0.233786i | |||||
0 | 0 | |||||||||
1.50000 | − | 2.59808i | 0.0673520 | − | 0.116657i | |||||
−7.00000 | + | 12.1244i | −0.313993 | + | 0.543852i | |||||
−4.00000 | − | 6.92820i | −0.179244 | − | 0.310460i | |||||
−2.50000 | + | 4.33013i | −0.111915 | + | 0.193843i | −0.916542 | − | 0.399937i | ||
0.804627 | + | 0.593780i | ||||||||
0 | 0 | |||||||||
−6.00000 | −0.268060 | |||||||||
18.0000 | 0.803379 | |||||||||
−8.00000 | − | 13.8564i | −0.356702 | − | 0.617827i | 0.630705 | − | 0.776022i | ||
−0.987408 | + | 0.158196i | ||||||||
0.500000 | + | 0.866025i | 0.0222718 | + | 0.0385758i | |||||
0 | 0 | |||||||||
8.00000 | 0.355643 | |||||||||
−2.00000 | − | 3.46410i | −0.0888231 | − | 0.153846i | |||||
4.00000 | − | 6.92820i | 0.177471 | − | 0.307389i | |||||
−13.0000 | − | 22.5167i | −0.576215 | − | 0.998033i | −0.995908 | − | 0.0903676i | ||
0.419694 | − | 0.907666i | ||||||||
0 | 0 | |||||||||
5.50000 | − | 9.52628i | 0.243306 | − | 0.421418i | |||||
−1.00000 | −0.0441942 | |||||||||
−4.00000 | − | 1.73205i | −0.176604 | − | 0.0764719i | |||||
12.0000 | 0.529297 | |||||||||
0 | 0 | |||||||||
−4.50000 | + | 7.79423i | −0.198101 | + | 0.343122i | |||||
10.0000 | + | 17.3205i | 0.439799 | + | 0.761755i | |||||
−2.50000 | + | 4.33013i | −0.109844 | + | 0.190255i | |||||
−12.0000 | − | 20.7846i | −0.526742 | − | 0.912343i | |||||
0 | 0 | |||||||||
34.0000 | 1.48957 | 0.744784 | − | 0.667306i | ||||||
0.744784 | + | 0.667306i | ||||||||
0 | 0 | |||||||||
−18.5000 | − | 32.0429i | −0.808949 | − | 1.40114i | −0.913593 | − | 0.406630i | ||
0.104644 | − | 0.994510i | ||||||||
−6.00000 | −0.262111 | |||||||||
5.00000 | 0.218218 | |||||||||
9.00000 | + | 15.5885i | 0.392419 | + | 0.679689i | |||||
6.00000 | − | 10.3923i | 0.261364 | − | 0.452696i | |||||
−1.00000 | − | 1.73205i | −0.0435194 | − | 0.0753778i | |||||
3.50000 | − | 6.06218i | 0.152174 | − | 0.263573i | |||||
0 | 0 | |||||||||
−14.0000 | −0.607548 | |||||||||
−0.500000 | − | 4.33013i | −0.0216777 | − | 0.187735i | |||||
−12.0000 | −0.519778 | |||||||||
7.00000 | − | 12.1244i | 0.302920 | − | 0.524672i | |||||
0 | 0 | |||||||||
1.50000 | + | 2.59808i | 0.0647901 | + | 0.112220i | |||||
2.00000 | − | 3.46410i | 0.0863064 | − | 0.149487i | |||||
1.00000 | + | 1.73205i | 0.0431131 | + | 0.0746740i | |||||
12.0000 | 0.516877 | |||||||||
0 | 0 | |||||||||
15.5000 | + | 26.8468i | 0.666397 | + | 1.15423i | 0.978905 | + | 0.204318i | ||
−0.312507 | + | 0.949915i | ||||||||
−8.00000 | − | 13.8564i | −0.343629 | − | 0.595184i | |||||
18.0000 | 0.772454 | |||||||||
−4.00000 | −0.171499 | |||||||||
0 | 0 | |||||||||
1.50000 | − | 2.59808i | 0.0641941 | − | 0.111187i | |||||
−5.50000 | − | 9.52628i | −0.235163 | − | 0.407314i | 0.724157 | − | 0.689635i | ||
−0.959320 | + | 0.282321i | ||||||||
3.00000 | − | 5.19615i | 0.128154 | − | 0.221969i | |||||
−5.50000 | + | 9.52628i | −0.234734 | + | 0.406572i | |||||
−10.0000 | −0.426401 | |||||||||
0 | 0 | |||||||||
4.00000 | 0.170251 | |||||||||
−0.500000 | + | 0.866025i | −0.0212622 | + | 0.0368271i | |||||
−1.00000 | + | 1.73205i | −0.0424859 | + | 0.0735878i | |||||
0 | 0 | |||||||||
9.50000 | − | 16.4545i | 0.402890 | − | 0.697826i | |||||
−17.0000 | − | 29.4449i | −0.720313 | − | 1.24762i | −0.960874 | − | 0.276985i | ||
0.240561 | − | 0.970634i | ||||||||
3.00000 | 0.127000 | |||||||||
27.0000 | 1.14198 | |||||||||
0 | 0 | |||||||||
−4.00000 | − | 6.92820i | −0.168880 | − | 0.292509i | |||||
8.00000 | 0.337460 | |||||||||
−6.00000 | −0.252870 | −0.126435 | − | 0.991975i | ||||||
−0.126435 | + | 0.991975i | ||||||||
5.00000 | + | 8.66025i | 0.210538 | + | 0.364662i | |||||
0 | 0 | |||||||||
−10.0000 | − | 17.3205i | −0.420331 | − | 0.728035i | |||||
−0.500000 | + | 0.866025i | −0.0209980 | + | 0.0363696i | |||||
7.00000 | − | 12.1244i | 0.293713 | − | 0.508727i | |||||
24.0000 | 1.00613 | 0.503066 | − | 0.864248i | ||||||
0.503066 | + | 0.864248i | ||||||||
0 | 0 | |||||||||
−7.00000 | −0.292941 | −0.146470 | − | 0.989215i | ||||||
−0.146470 | + | 0.989215i | ||||||||
−3.00000 | + | 5.19615i | −0.125436 | + | 0.217262i | |||||
−4.00000 | + | 6.92820i | −0.167102 | + | 0.289430i | |||||
2.00000 | + | 3.46410i | 0.0834784 | + | 0.144589i | |||||
10.0000 | − | 17.3205i | 0.417029 | − | 0.722315i | |||||
−0.500000 | − | 0.866025i | −0.0208333 | − | 0.0360844i | |||||
−14.0000 | −0.582828 | −0.291414 | − | 0.956597i | ||||||
−0.291414 | + | 0.956597i | ||||||||
1.00000 | 0.0415945 | |||||||||
−6.50000 | − | 11.2583i | −0.270131 | − | 0.467880i | |||||
0 | 0 | |||||||||
8.00000 | 0.331896 | |||||||||
2.00000 | 0.0829027 | |||||||||
−4.00000 | − | 6.92820i | −0.165663 | − | 0.286937i | |||||
−5.50000 | + | 9.52628i | −0.227592 | + | 0.394200i | |||||
0 | 0 | |||||||||
7.00000 | − | 12.1244i | 0.289167 | − | 0.500853i | |||||
1.00000 | − | 1.73205i | 0.0412744 | − | 0.0714894i | −0.844650 | − | 0.535319i | ||
0.885925 | + | 0.463829i | ||||||||
6.00000 | 0.247436 | |||||||||
−12.0000 | − | 5.19615i | −0.494451 | − | 0.214104i | |||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0411345 | + | 0.0712470i | |||||
2.50000 | − | 4.33013i | 0.102749 | − | 0.177967i | |||||
−17.0000 | − | 29.4449i | −0.698106 | − | 1.20916i | −0.969122 | − | 0.246581i | ||
0.271016 | − | 0.962575i | ||||||||
1.00000 | − | 1.73205i | 0.0410305 | − | 0.0710669i | |||||
0 | 0 | |||||||||
−22.0000 | −0.901155 | |||||||||
−5.00000 | −0.204636 | |||||||||
−6.00000 | − | 10.3923i | −0.245358 | − | 0.424973i | |||||
23.0000 | + | 39.8372i | 0.939755 | + | 1.62770i | 0.765928 | + | 0.642926i | ||
0.173826 | + | 0.984776i | ||||||||
−5.00000 | −0.204124 | |||||||||
27.0000 | 1.10135 | 0.550676 | − | 0.834719i | ||||||
0.550676 | + | 0.834719i | ||||||||
−4.50000 | − | 7.79423i | −0.183406 | − | 0.317669i | |||||
−1.50000 | + | 2.59808i | −0.0610847 | + | 0.105802i | |||||
10.0000 | + | 17.3205i | 0.406894 | + | 0.704761i | |||||
0 | 0 | |||||||||
5.00000 | − | 8.66025i | 0.203111 | − | 0.351799i | |||||
5.00000 | 0.202944 | 0.101472 | − | 0.994838i | ||||||
0.101472 | + | 0.994838i | ||||||||
0.500000 | + | 4.33013i | 0.0202777 | + | 0.175610i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
15.0000 | − | 25.9808i | 0.606835 | − | 1.05107i | |||||
−2.00000 | − | 3.46410i | −0.0808452 | − | 0.140028i | |||||
−1.00000 | + | 1.73205i | −0.0403896 | + | 0.0699569i | −0.885514 | − | 0.464614i | ||
0.845124 | + | 0.534570i | ||||||||
−6.00000 | − | 10.3923i | −0.242140 | − | 0.419399i | |||||
0 | 0 | |||||||||
2.00000 | 0.0805823 | |||||||||
21.0000 | + | 36.3731i | 0.845428 | + | 1.46432i | 0.885249 | + | 0.465118i | ||
−0.0398207 | + | 0.999207i | ||||||||
1.50000 | + | 2.59808i | 0.0603388 | + | 0.104510i | |||||
1.00000 | 0.0401934 | 0.0200967 | − | 0.999798i | ||||||
0.0200967 | + | 0.999798i | ||||||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.0802572 | + | 0.139010i | |||||
5.00000 | − | 8.66025i | 0.200482 | − | 0.347245i | |||||
7.00000 | + | 12.1244i | 0.280449 | + | 0.485752i | |||||
−1.50000 | + | 2.59808i | −0.0600481 | + | 0.104006i | |||||
−12.5000 | + | 21.6506i | −0.500000 | + | 0.866025i | |||||
−6.00000 | −0.239808 | |||||||||
−7.00000 | + | 5.19615i | −0.279553 | + | 0.207514i | |||||
−21.0000 | −0.837991 | |||||||||
10.0000 | − | 17.3205i | 0.398726 | − | 0.690614i | |||||
0 | 0 | |||||||||
−8.50000 | − | 14.7224i | −0.338380 | − | 0.586091i | 0.645748 | − | 0.763550i | ||
−0.984128 | + | 0.177459i | ||||||||
0.500000 | − | 0.866025i | 0.0198889 | − | 0.0344486i | |||||
12.5000 | + | 21.6506i | 0.496830 | + | 0.860535i | |||||
−12.0000 | −0.476581 | |||||||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.0793052 | − | 0.137361i | |||||
−9.00000 | − | 15.5885i | −0.356593 | − | 0.617637i | |||||
0 | 0 | |||||||||
14.0000 | 0.553831 | |||||||||
0 | 0 | |||||||||
7.00000 | − | 12.1244i | 0.276483 | − | 0.478883i | −0.694025 | − | 0.719951i | ||
0.970508 | + | 0.241068i | ||||||||
5.00000 | + | 8.66025i | 0.197334 | + | 0.341793i | |||||
−18.5000 | + | 32.0429i | −0.729569 | + | 1.26365i | 0.227497 | + | 0.973779i | ||
−0.957066 | + | 0.289871i | ||||||||
−2.00000 | + | 3.46410i | −0.0788110 | + | 0.136505i | |||||
0 | 0 | |||||||||
2.00000 | + | 17.3205i | 0.0786889 | + | 0.681466i | |||||
48.0000 | 1.88707 | 0.943537 | − | 0.331266i | ||||||
0.943537 | + | 0.331266i | ||||||||
0.500000 | − | 0.866025i | 0.0196419 | − | 0.0340207i | |||||
−14.0000 | + | 24.2487i | −0.549548 | + | 0.951845i | |||||
7.50000 | + | 12.9904i | 0.294174 | + | 0.509525i | |||||
−1.50000 | + | 2.59808i | −0.0587896 | + | 0.101827i | |||||
−5.50000 | − | 9.52628i | −0.215397 | − | 0.373078i | |||||
−42.0000 | −1.64359 | −0.821794 | − | 0.569785i | ||||||
−0.821794 | + | 0.569785i | ||||||||
14.0000 | 0.547443 | |||||||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.0780869 | − | 0.135250i | |||||
−11.0000 | −0.429151 | |||||||||
−10.0000 | −0.389841 | |||||||||
7.00000 | + | 12.1244i | 0.272681 | + | 0.472298i | 0.969548 | − | 0.244903i | ||
−0.696866 | + | 0.717201i | ||||||||
0 | 0 | |||||||||
−5.00000 | − | 8.66025i | −0.194477 | − | 0.336845i | 0.752252 | − | 0.658876i | ||
−0.946729 | + | 0.322031i | ||||||||
7.50000 | − | 12.9904i | 0.291496 | − | 0.504885i | |||||
−6.00000 | + | 10.3923i | −0.233021 | + | 0.403604i | |||||
−8.00000 | −0.310460 | |||||||||
0 | 0 | |||||||||
5.00000 | 0.193746 | |||||||||
0 | 0 | |||||||||
−3.00000 | + | 5.19615i | −0.116073 | + | 0.201045i | |||||
4.50000 | + | 7.79423i | 0.173980 | + | 0.301342i | |||||
0 | 0 | |||||||||
11.0000 | + | 19.0526i | 0.424650 | + | 0.735516i | |||||
1.00000 | 0.0385758 | |||||||||
−1.00000 | −0.0385472 | −0.0192736 | − | 0.999814i | ||||||
−0.0192736 | + | 0.999814i | ||||||||
−9.50000 | − | 16.4545i | −0.365926 | − | 0.633803i | |||||
−2.50000 | − | 4.33013i | −0.0962250 | − | 0.166667i | |||||
−4.00000 | −0.153846 | |||||||||
18.0000 | 0.691796 | 0.345898 | − | 0.938272i | ||||||
0.345898 | + | 0.938272i | ||||||||
−5.00000 | − | 8.66025i | −0.192024 | − | 0.332595i | |||||
−1.00000 | + | 1.73205i | −0.0383765 | + | 0.0664700i | |||||
0 | 0 | |||||||||
4.00000 | − | 6.92820i | 0.153280 | − | 0.265489i | |||||
3.00000 | − | 5.19615i | 0.114876 | − | 0.198971i | |||||
−36.0000 | −1.37750 | −0.688751 | − | 0.724998i | ||||||
−0.688751 | + | 0.724998i | ||||||||
−3.50000 | + | 2.59808i | −0.133826 | + | 0.0993399i | |||||
0 | 0 | |||||||||
−6.50000 | + | 11.2583i | −0.248171 | + | 0.429845i | |||||
−5.50000 | + | 9.52628i | −0.209838 | + | 0.363450i | |||||
4.50000 | + | 7.79423i | 0.171561 | + | 0.297152i | |||||
−6.00000 | + | 10.3923i | −0.228582 | + | 0.395915i | |||||
0 | 0 | |||||||||
4.00000 | 0.152167 | 0.0760836 | − | 0.997101i | ||||||
0.0760836 | + | 0.997101i | ||||||||
−24.0000 | −0.912343 | |||||||||
1.00000 | + | 1.73205i | 0.0379869 | + | 0.0657952i | |||||
8.00000 | + | 13.8564i | 0.303676 | + | 0.525982i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.303022 | − | 0.524849i | |||||
−14.5000 | + | 25.1147i | −0.548833 | + | 0.950607i | |||||
9.00000 | + | 15.5885i | 0.340411 | + | 0.589610i | |||||
2.50000 | − | 4.33013i | 0.0944911 | − | 0.163663i | |||||
22.0000 | − | 38.1051i | 0.830929 | − | 1.43921i | −0.0663742 | − | 0.997795i | ||
0.897303 | − | 0.441416i | ||||||||
−3.00000 | −0.113228 | |||||||||
−20.0000 | − | 8.66025i | −0.754314 | − | 0.326628i | |||||
−2.00000 | −0.0753778 | |||||||||
0 | 0 | |||||||||
−6.00000 | + | 10.3923i | −0.225813 | + | 0.391120i | |||||
5.00000 | + | 8.66025i | 0.188044 | + | 0.325702i | |||||
−7.00000 | + | 12.1244i | −0.263076 | + | 0.455661i | |||||
15.5000 | + | 26.8468i | 0.582115 | + | 1.00825i | 0.995228 | + | 0.0975728i | ||
−0.413114 | + | 0.910679i | ||||||||
0 | 0 | |||||||||
1.00000 | 0.0375029 | |||||||||
−7.00000 | − | 12.1244i | −0.262336 | − | 0.454379i | |||||
6.00000 | + | 10.3923i | 0.224702 | + | 0.389195i | |||||
4.00000 | 0.149696 | |||||||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.0747435 | − | 0.129460i | |||||
−6.00000 | + | 10.3923i | −0.224074 | + | 0.388108i | |||||
−18.0000 | − | 31.1769i | −0.671754 | − | 1.16351i | |||||
−20.0000 | + | 34.6410i | −0.745874 | + | 1.29189i | 0.203911 | + | 0.978989i | ||
−0.949785 | + | 0.312903i | ||||||||
0 | 0 | |||||||||
−3.00000 | −0.111726 | |||||||||
18.5000 | − | 4.33013i | 0.688499 | − | 0.161151i | |||||
−25.0000 | −0.929760 | |||||||||
9.00000 | − | 15.5885i | 0.334482 | − | 0.579340i | |||||
0 | 0 | |||||||||
3.50000 | + | 6.06218i | 0.129897 | + | 0.224989i | |||||
−8.50000 | + | 14.7224i | −0.315248 | + | 0.546025i | −0.979490 | − | 0.201492i | ||
0.664243 | + | 0.747517i | ||||||||
−1.50000 | − | 2.59808i | −0.0555937 | − | 0.0962911i | |||||
1.00000 | 0.0370370 | |||||||||
0 | 0 | |||||||||
18.0000 | + | 31.1769i | 0.665754 | + | 1.15312i | |||||
5.50000 | + | 9.52628i | 0.203286 | + | 0.352101i | |||||
−2.00000 | −0.0738717 | −0.0369358 | − | 0.999318i | ||||||
−0.0369358 | + | 0.999318i | ||||||||
−23.0000 | −0.848945 | |||||||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.0737210 | − | 0.127688i | |||||
3.00000 | + | 5.19615i | 0.110506 | + | 0.191403i | |||||
2.00000 | − | 3.46410i | 0.0736210 | − | 0.127515i | |||||
2.50000 | − | 4.33013i | 0.0919640 | − | 0.159286i | −0.816373 | − | 0.577524i | ||
0.908337 | + | 0.418238i | ||||||||
0 | 0 | |||||||||
12.0000 | + | 5.19615i | 0.440831 | + | 0.190885i | |||||
4.00000 | 0.146845 | |||||||||
9.00000 | − | 15.5885i | 0.330178 | − | 0.571885i | −0.652369 | − | 0.757902i | ||
0.982547 | + | 0.186017i | ||||||||
1.50000 | − | 2.59808i | 0.0549927 | − | 0.0952501i | |||||
0 | 0 | |||||||||
13.0000 | − | 22.5167i | 0.475964 | − | 0.824394i | |||||
−4.00000 | − | 6.92820i | −0.146352 | − | 0.253490i | |||||
−8.00000 | −0.292509 | |||||||||
−10.0000 | −0.365392 | |||||||||
0 | 0 | |||||||||
−6.50000 | − | 11.2583i | −0.237188 | − | 0.410822i | 0.722718 | − | 0.691143i | ||
−0.959906 | + | 0.280321i | ||||||||
10.0000 | 0.364662 | |||||||||
18.0000 | 0.655956 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.500000 | + | 0.866025i | 0.0181848 | + | 0.0314970i | |||||
−2.50000 | + | 4.33013i | −0.0908640 | + | 0.157381i | −0.907875 | − | 0.419241i | ||
0.817011 | + | 0.576622i | ||||||||
−6.50000 | + | 11.2583i | −0.236091 | + | 0.408921i | |||||
8.00000 | 0.290382 | |||||||||
0 | 0 | |||||||||
−34.0000 | −1.23250 | −0.616250 | − | 0.787551i | ||||||
−0.616250 | + | 0.787551i | ||||||||
4.00000 | − | 6.92820i | 0.144905 | − | 0.250982i | |||||
−7.00000 | + | 12.1244i | −0.253417 | + | 0.438931i | |||||
4.00000 | + | 6.92820i | 0.144715 | + | 0.250654i | |||||
0 | 0 | |||||||||
7.00000 | + | 12.1244i | 0.252920 | + | 0.438071i | |||||
42.0000 | 1.51653 | |||||||||
−1.00000 | −0.0360844 | |||||||||
−13.5000 | − | 23.3827i | −0.486822 | − | 0.843201i | 0.513063 | − | 0.858351i | ||
−0.999885 | + | 0.0151499i | ||||||||
0 | 0 | |||||||||
12.0000 | 0.432169 | |||||||||
−13.0000 | −0.467880 | |||||||||
9.00000 | + | 15.5885i | 0.323708 | + | 0.560678i | 0.981250 | − | 0.192740i | ||
−0.657542 | + | 0.753418i | ||||||||
−4.50000 | + | 7.79423i | −0.161749 | + | 0.280158i | |||||
−7.50000 | − | 12.9904i | −0.269408 | − | 0.466628i | |||||
1.00000 | − | 1.73205i | 0.0358979 | − | 0.0621770i | |||||
−2.50000 | + | 4.33013i | −0.0896870 | + | 0.155342i | |||||
16.0000 | 0.573628 | |||||||||
−14.0000 | + | 10.3923i | −0.501602 | + | 0.372343i | |||||
0 | 0 | |||||||||
14.0000 | − | 24.2487i | 0.500959 | − | 0.867687i | |||||
8.00000 | − | 13.8564i | 0.286079 | − | 0.495504i | |||||
0 | 0 | |||||||||
3.00000 | − | 5.19615i | 0.107143 | − | 0.185577i | |||||
0 | 0 | |||||||||
−6.00000 | −0.214013 | |||||||||
−47.0000 | −1.67537 | −0.837685 | − | 0.546154i | ||||||
−0.837685 | + | 0.546154i | ||||||||
1.00000 | + | 1.73205i | 0.0356235 | + | 0.0617018i | |||||
9.00000 | + | 15.5885i | 0.320408 | + | 0.554964i | |||||
0 | 0 | |||||||||
10.0000 | 0.355559 | |||||||||
−1.00000 | − | 1.73205i | −0.0355335 | − | 0.0615457i | |||||
16.5000 | − | 28.5788i | 0.585932 | − | 1.01486i | |||||
7.50000 | + | 12.9904i | 0.266165 | + | 0.461011i | |||||
0 | 0 | |||||||||
−2.50000 | + | 4.33013i | −0.0886102 | + | 0.153477i | |||||
26.0000 | 0.920967 | 0.460484 | − | 0.887668i | ||||||
0.460484 | + | 0.887668i | ||||||||
−0.500000 | − | 4.33013i | −0.0176998 | − | 0.153285i | |||||
40.0000 | 1.41510 | |||||||||
−2.50000 | + | 4.33013i | −0.0883883 | + | 0.153093i | |||||
7.00000 | − | 12.1244i | 0.247333 | − | 0.428393i | |||||
9.00000 | + | 15.5885i | 0.317801 | + | 0.550448i | |||||
−11.0000 | + | 19.0526i | −0.388182 | + | 0.672350i | |||||
1.50000 | + | 2.59808i | 0.0529009 | + | 0.0916271i | |||||
0 | 0 | |||||||||
−9.00000 | −0.317011 | |||||||||
1.00000 | + | 1.73205i | 0.0352017 | + | 0.0609711i | |||||
−5.00000 | − | 8.66025i | −0.175899 | − | 0.304667i | |||||
0 | 0 | − | 1.00000i | |||||||
1.00000i | ||||||||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.0702295 | − | 0.121641i | 0.828772 | − | 0.559586i | ||
−0.899002 | + | 0.437945i | ||||||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.280572 | − | 0.485965i | |||||
5.00000 | − | 8.66025i | 0.175250 | − | 0.303542i | |||||
0 | 0 | |||||||||
−4.00000 | −0.140028 | |||||||||
31.5000 | − | 23.3827i | 1.10205 | − | 0.818057i | |||||
30.0000 | 1.04893 | |||||||||
1.50000 | − | 2.59808i | 0.0524142 | − | 0.0907841i | |||||
0 | 0 | |||||||||
−24.0000 | − | 41.5692i | −0.837606 | − | 1.45078i | −0.891891 | − | 0.452250i | ||
0.0542853 | − | 0.998525i | ||||||||
3.00000 | − | 5.19615i | 0.104637 | − | 0.181237i | |||||
−2.00000 | − | 3.46410i | −0.0697156 | − | 0.120751i | 0.829060 | − | 0.559159i | ||
−0.898776 | + | 0.438408i | ||||||||
3.00000 | 0.104510 | |||||||||
−10.0000 | −0.348155 | |||||||||
−7.00000 | − | 12.1244i | −0.243561 | − | 0.421860i | |||||
−18.0000 | − | 31.1769i | −0.625921 | − | 1.08413i | −0.988362 | − | 0.152121i | ||
0.362441 | − | 0.932007i | ||||||||
4.00000 | 0.139010 | |||||||||
−31.0000 | −1.07667 | −0.538337 | − | 0.842729i | ||||||
−0.538337 | + | 0.842729i | ||||||||
0 | 0 | |||||||||
−1.00000 | + | 1.73205i | −0.0346896 | + | 0.0600842i | |||||
1.50000 | + | 2.59808i | 0.0520031 | + | 0.0900721i | |||||
12.0000 | − | 20.7846i | 0.415775 | − | 0.720144i | |||||
9.50000 | − | 16.4545i | 0.328958 | − | 0.569772i | |||||
0 | 0 | |||||||||
1.00000 | + | 8.66025i | 0.0345857 | + | 0.299521i | |||||
3.00000 | 0.103695 | |||||||||
9.00000 | − | 15.5885i | 0.310900 | − | 0.538494i | |||||
6.00000 | − | 10.3923i | 0.207143 | − | 0.358782i | −0.743670 | − | 0.668546i | ||
0.950813 | + | 0.309764i | ||||||||
0 | 0 | |||||||||
14.5000 | − | 25.1147i | 0.500000 | − | 0.866025i | |||||
5.00000 | + | 8.66025i | 0.172311 | + | 0.298452i | |||||
8.00000 | 0.275535 | |||||||||
25.0000 | 0.860535 | |||||||||
0 | 0 | |||||||||
5.00000 | + | 8.66025i | 0.171904 | + | 0.297746i | |||||
−7.00000 | −0.240523 | |||||||||
−4.00000 | −0.137361 | |||||||||
−10.0000 | − | 17.3205i | −0.343199 | − | 0.594438i | |||||
−10.0000 | + | 17.3205i | −0.342997 | + | 0.594089i | |||||
10.0000 | + | 17.3205i | 0.342796 | + | 0.593739i | |||||
7.00000 | − | 12.1244i | 0.239816 | − | 0.415374i | |||||
−1.50000 | + | 2.59808i | −0.0513590 | + | 0.0889564i | −0.890562 | − | 0.454862i | ||
0.839203 | + | 0.543818i | ||||||||
−11.0000 | −0.376412 | |||||||||
0 | 0 | |||||||||
10.0000 | 0.341793 | |||||||||
−21.0000 | + | 36.3731i | −0.717346 | + | 1.24248i | 0.244701 | + | 0.969599i | ||
−0.962048 | + | 0.272882i | ||||||||
−3.00000 | + | 5.19615i | −0.102418 | + | 0.177394i | |||||
−3.50000 | − | 6.06218i | −0.119418 | − | 0.206839i | 0.800119 | − | 0.599841i | ||
−0.919537 | + | 0.393003i | ||||||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.0681598 | + | 0.118056i | |||||
10.0000 | 0.340601 | |||||||||
−22.0000 | −0.748889 | −0.374444 | − | 0.927249i | ||||||
−0.374444 | + | 0.927249i | ||||||||
−0.500000 | − | 0.866025i | −0.0170103 | − | 0.0294628i | |||||
0 | 0 | |||||||||
9.00000 | 0.305832 | |||||||||
1.00000 | 0.0339618 | |||||||||
1.50000 | + | 2.59808i | 0.0509133 | + | 0.0881845i | |||||
1.00000 | − | 1.73205i | 0.0339227 | − | 0.0587558i | |||||
0 | 0 | |||||||||
4.50000 | − | 7.79423i | 0.152477 | − | 0.264097i | |||||
7.00000 | − | 12.1244i | 0.237050 | − | 0.410582i | |||||
2.00000 | 0.0676897 | |||||||||
−16.0000 | − | 6.92820i | −0.541208 | − | 0.234350i | |||||
0 | 0 | |||||||||
−5.50000 | + | 9.52628i | −0.185828 | + | 0.321863i | |||||
12.5000 | − | 21.6506i | 0.422095 | − | 0.731090i | −0.574049 | − | 0.818821i | ||
0.996144 | + | 0.0877308i | ||||||||
9.50000 | + | 16.4545i | 0.320609 | + | 0.555312i | |||||
7.00000 | − | 12.1244i | 0.236104 | − | 0.408944i | |||||
0 | 0 | |||||||||
36.0000 | 1.21287 | 0.606435 | − | 0.795133i | ||||||
0.606435 | + | 0.795133i | ||||||||
6.00000 | 0.202031 | |||||||||
4.50000 | + | 7.79423i | 0.151437 | + | 0.262297i | 0.931756 | − | 0.363085i | ||
−0.780319 | + | 0.625382i | ||||||||
6.00000 | + | 10.3923i | 0.201802 | + | 0.349531i | |||||
0 | 0 | |||||||||
−24.0000 | −0.806296 | |||||||||
−9.00000 | − | 15.5885i | −0.302190 | − | 0.523409i | 0.674441 | − | 0.738328i | ||
−0.976632 | + | 0.214919i | ||||||||
2.50000 | − | 4.33013i | 0.0838945 | − | 0.145310i | |||||
4.00000 | + | 6.92820i | 0.134156 | + | 0.232364i | |||||
0 | 0 | |||||||||
1.00000 | − | 1.73205i | 0.0335013 | − | 0.0580259i | |||||
9.00000 | 0.301342 | |||||||||
−5.00000 | − | 43.3013i | −0.167319 | − | 1.44902i | |||||
−22.0000 | −0.735790 | |||||||||
0 | 0 | |||||||||
0.500000 | − | 0.866025i | 0.0167038 | − | 0.0289319i | |||||
−6.00000 | − | 10.3923i | −0.200334 | − | 0.346989i | |||||
−18.0000 | + | 31.1769i | −0.600668 | + | 1.04039i | |||||
0 | 0 | |||||||||
−5.00000 | −0.166667 | |||||||||
−16.0000 | −0.533037 | |||||||||
−4.00000 | − | 6.92820i | −0.133185 | − | 0.230684i | |||||
−4.50000 | − | 7.79423i | −0.149751 | − | 0.259376i | |||||
−10.0000 | −0.332595 | |||||||||
0 | 0 | |||||||||
10.0000 | + | 17.3205i | 0.332228 | + | 0.575435i | |||||
−26.0000 | + | 45.0333i | −0.863316 | + | 1.49531i | 0.00539395 | + | 0.999985i | ||
−0.868710 | + | 0.495321i | ||||||||
−4.00000 | − | 6.92820i | −0.132745 | − | 0.229920i | |||||
5.00000 | − | 8.66025i | 0.165840 | − | 0.287242i | |||||
0 | 0 | |||||||||
−60.0000 | −1.98789 | −0.993944 | − | 0.109885i | ||||||
−0.993944 | + | 0.109885i | ||||||||
0.500000 | + | 4.33013i | 0.0165567 | + | 0.143385i | |||||
−16.0000 | −0.529523 | |||||||||
2.50000 | − | 4.33013i | 0.0826927 | − | 0.143228i | |||||
0 | 0 | |||||||||
5.50000 | + | 9.52628i | 0.181725 | + | 0.314757i | |||||
3.00000 | − | 5.19615i | 0.0990687 | − | 0.171592i | |||||
−2.00000 | − | 3.46410i | −0.0660098 | − | 0.114332i | |||||
55.0000 | 1.81428 | 0.907141 | − | 0.420826i | ||||||
0.907141 | + | 0.420826i | ||||||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.197707 | − | 0.342438i | |||||
3.00000 | + | 5.19615i | 0.0987997 | + | 0.171126i | |||||
−42.0000 | −1.38245 | |||||||||
2.00000 | 0.0657952 | |||||||||
−12.5000 | − | 21.6506i | −0.410997 | − | 0.711868i | |||||
−4.50000 | + | 7.79423i | −0.147879 | + | 0.256134i | |||||
1.50000 | + | 2.59808i | 0.0492665 | + | 0.0853320i | |||||
0 | 0 | |||||||||
−6.00000 | + | 10.3923i | −0.196854 | + | 0.340960i | −0.947507 | − | 0.319736i | ||
0.750653 | + | 0.660697i | ||||||||
0 | 0 | |||||||||
−24.0000 | − | 10.3923i | −0.786568 | − | 0.340594i | |||||
18.0000 | 0.589610 | |||||||||
5.00000 | − | 8.66025i | 0.163693 | − | 0.283524i | |||||
4.00000 | − | 6.92820i | 0.130884 | − | 0.226698i | |||||
0 | 0 | |||||||||
−1.50000 | + | 2.59808i | −0.0490290 | + | 0.0849208i | |||||
12.5000 | + | 21.6506i | 0.408357 | + | 0.707295i | 0.994706 | − | 0.102763i | ||
−0.586349 | + | 0.810059i | ||||||||
−3.00000 | −0.0979535 | |||||||||
−6.00000 | −0.195803 | |||||||||
0 | 0 | |||||||||
16.0000 | + | 27.7128i | 0.521585 | + | 0.903412i | 0.999685 | + | 0.0251063i | ||
−0.478100 | + | 0.878306i | ||||||||
−21.0000 | −0.684217 | |||||||||
16.0000 | 0.521032 | |||||||||
7.00000 | + | 12.1244i | 0.227831 | + | 0.394614i | |||||
0 | 0 | |||||||||
9.00000 | + | 15.5885i | 0.292615 | + | 0.506824i | |||||
−5.00000 | + | 8.66025i | −0.162478 | + | 0.281420i | −0.935757 | − | 0.352646i | ||
0.773279 | + | 0.634066i | ||||||||
0.500000 | − | 0.866025i | 0.0162392 | − | 0.0281272i | |||||
33.0000 | 1.07123 | |||||||||
20.0000 | + | 8.66025i | 0.648886 | + | 0.280976i | |||||
−12.0000 | −0.389127 | |||||||||
2.00000 | − | 3.46410i | 0.0648204 | − | 0.112272i | |||||
15.0000 | − | 25.9808i | 0.485898 | − | 0.841599i | −0.513971 | − | 0.857808i | ||
0.999869 | + | 0.0162081i | ||||||||
−2.00000 | − | 3.46410i | −0.0647524 | − | 0.112154i | |||||
0 | 0 | |||||||||
6.00000 | + | 10.3923i | 0.194054 | + | 0.336111i | |||||
0 | 0 | |||||||||
−6.00000 | −0.193851 | |||||||||
3.00000 | + | 5.19615i | 0.0968751 | + | 0.167793i | |||||
0 | 0 | |||||||||
−22.0000 | −0.709677 | |||||||||
−15.0000 | −0.483619 | |||||||||
5.00000 | + | 8.66025i | 0.161123 | + | 0.279073i | |||||
−12.5000 | + | 21.6506i | −0.402598 | + | 0.697320i | |||||
0 | 0 | |||||||||
−2.00000 | + | 3.46410i | −0.0643489 | + | 0.111456i | |||||
−25.5000 | + | 44.1673i | −0.820025 | + | 1.42032i | 0.0856383 | + | 0.996326i | ||
−0.905663 | + | 0.423998i | ||||||||
7.00000 | 0.224989 | |||||||||
2.00000 | + | 17.3205i | 0.0642493 | + | 0.556415i | |||||
0 | 0 | |||||||||
−3.00000 | + | 5.19615i | −0.0962746 | + | 0.166752i | −0.910140 | − | 0.414301i | ||
0.813865 | + | 0.581054i | ||||||||
0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | |||||
9.50000 | + | 16.4545i | 0.304556 | + | 0.527506i | |||||
16.0000 | − | 27.7128i | 0.512673 | − | 0.887976i | |||||
7.50000 | + | 12.9904i | 0.240192 | + | 0.416025i | |||||
11.0000 | 0.352101 | |||||||||
−42.0000 | −1.34370 | −0.671850 | − | 0.740688i | ||||||
−0.671850 | + | 0.740688i | ||||||||
−5.50000 | − | 9.52628i | −0.175871 | − | 0.304617i | |||||
−14.0000 | − | 24.2487i | −0.447442 | − | 0.774992i | |||||
0 | 0 | |||||||||
14.0000 | 0.446986 | |||||||||
15.0000 | + | 25.9808i | 0.478669 | + | 0.829079i | |||||
3.00000 | − | 5.19615i | 0.0956851 | − | 0.165732i | −0.814209 | − | 0.580572i | ||
0.909894 | + | 0.414840i | ||||||||
−2.00000 | − | 3.46410i | −0.0637577 | − | 0.110432i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−10.0000 | −0.318304 | |||||||||
10.5000 | − | 7.79423i | 0.334050 | − | 0.247967i | |||||
−36.0000 | −1.14473 | |||||||||
0 | 0 | |||||||||
8.50000 | − | 14.7224i | 0.270011 | − | 0.467673i | −0.698853 | − | 0.715265i | ||
0.968864 | + | 0.247592i | ||||||||
−1.50000 | − | 2.59808i | −0.0476250 | − | 0.0824890i | |||||
7.50000 | − | 12.9904i | 0.238005 | − | 0.412237i | |||||
7.00000 | + | 12.1244i | 0.222027 | + | 0.384561i | |||||
0 | 0 | |||||||||
−8.00000 | −0.253490 | |||||||||
24.5000 | + | 42.4352i | 0.775923 | + | 1.34394i | 0.934274 | + | 0.356555i | ||
−0.158352 | + | 0.987383i | ||||||||
2.50000 | + | 4.33013i | 0.0791361 | + | 0.137068i | |||||
5.00000 | 0.158193 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 114.2.e.b.49.1 | yes | 2 | |
3.2 | odd | 2 | 342.2.g.c.163.1 | 2 | |||
4.3 | odd | 2 | 912.2.q.b.49.1 | 2 | |||
12.11 | even | 2 | 2736.2.s.k.1873.1 | 2 | |||
19.7 | even | 3 | inner | 114.2.e.b.7.1 | ✓ | 2 | |
19.8 | odd | 6 | 2166.2.a.h.1.1 | 1 | |||
19.11 | even | 3 | 2166.2.a.b.1.1 | 1 | |||
57.8 | even | 6 | 6498.2.a.g.1.1 | 1 | |||
57.11 | odd | 6 | 6498.2.a.u.1.1 | 1 | |||
57.26 | odd | 6 | 342.2.g.c.235.1 | 2 | |||
76.7 | odd | 6 | 912.2.q.b.577.1 | 2 | |||
228.83 | even | 6 | 2736.2.s.k.577.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.e.b.7.1 | ✓ | 2 | 19.7 | even | 3 | inner | |
114.2.e.b.49.1 | yes | 2 | 1.1 | even | 1 | trivial | |
342.2.g.c.163.1 | 2 | 3.2 | odd | 2 | |||
342.2.g.c.235.1 | 2 | 57.26 | odd | 6 | |||
912.2.q.b.49.1 | 2 | 4.3 | odd | 2 | |||
912.2.q.b.577.1 | 2 | 76.7 | odd | 6 | |||
2166.2.a.b.1.1 | 1 | 19.11 | even | 3 | |||
2166.2.a.h.1.1 | 1 | 19.8 | odd | 6 | |||
2736.2.s.k.577.1 | 2 | 228.83 | even | 6 | |||
2736.2.s.k.1873.1 | 2 | 12.11 | even | 2 | |||
6498.2.a.g.1.1 | 1 | 57.8 | even | 6 | |||
6498.2.a.u.1.1 | 1 | 57.11 | odd | 6 |