Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(67,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 462.i (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: | |
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: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 331.2 | ||
Root | of defining polynomial | ||
Character | 462.331 | ||
Dual form | 462.2.i.e.67.2 |
-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 .
0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | |||||
0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | |||||
−0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | |||||
1.32288 | − | 2.29129i | 0.591608 | − | 1.02470i | −0.402408 | − | 0.915460i | ||
0.994016 | − | 0.109235i | ||||||||
1.00000 | 0.408248 | |||||||||
1.32288 | − | 2.29129i | 0.500000 | − | 0.866025i | |||||
−1.00000 | −0.353553 | |||||||||
−0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | |||||
−1.32288 | − | 2.29129i | −0.418330 | − | 0.724569i | |||||
−0.500000 | − | 0.866025i | −0.150756 | − | 0.261116i | |||||
0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | |||||
−4.00000 | −1.10940 | −0.554700 | − | 0.832050i | ||||||
−0.554700 | + | 0.832050i | ||||||||
−1.32288 | − | 2.29129i | −0.353553 | − | 0.612372i | |||||
2.64575 | 0.683130 | |||||||||
−0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | |||||
1.50000 | + | 2.59808i | 0.363803 | + | 0.630126i | 0.988583 | − | 0.150675i | ||
−0.624780 | + | 0.780801i | ||||||||
0.500000 | + | 0.866025i | 0.117851 | + | 0.204124i | |||||
2.64575 | − | 4.58258i | 0.606977 | − | 1.05131i | −0.384759 | − | 0.923017i | ||
0.991736 | − | 0.128298i | ||||||||
−2.64575 | −0.591608 | |||||||||
2.64575 | 0.577350 | |||||||||
−1.00000 | −0.213201 | |||||||||
−1.32288 | + | 2.29129i | −0.275839 | + | 0.477767i | −0.970346 | − | 0.241719i | ||
0.694508 | + | 0.719485i | ||||||||
−0.500000 | − | 0.866025i | −0.102062 | − | 0.176777i | |||||
−1.00000 | − | 1.73205i | −0.200000 | − | 0.346410i | |||||
−2.00000 | + | 3.46410i | −0.392232 | + | 0.679366i | |||||
−1.00000 | −0.192450 | |||||||||
−2.64575 | −0.500000 | |||||||||
2.00000 | 0.371391 | 0.185695 | − | 0.982607i | ||||||
0.185695 | + | 0.982607i | ||||||||
1.32288 | − | 2.29129i | 0.241523 | − | 0.418330i | |||||
2.00000 | + | 3.46410i | 0.359211 | + | 0.622171i | 0.987829 | − | 0.155543i | ||
−0.628619 | + | 0.777714i | ||||||||
0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | |||||
0.500000 | − | 0.866025i | 0.0870388 | − | 0.150756i | |||||
3.00000 | 0.514496 | |||||||||
−3.50000 | − | 6.06218i | −0.591608 | − | 1.02470i | |||||
1.00000 | 0.166667 | |||||||||
4.64575 | − | 8.04668i | 0.763757 | − | 1.32287i | −0.177145 | − | 0.984185i | ||
0.940901 | − | 0.338681i | ||||||||
−2.64575 | − | 4.58258i | −0.429198 | − | 0.743392i | |||||
−2.00000 | − | 3.46410i | −0.320256 | − | 0.554700i | |||||
−1.32288 | + | 2.29129i | −0.209165 | + | 0.362284i | |||||
9.00000 | 1.40556 | 0.702782 | − | 0.711405i | ||||||
0.702782 | + | 0.711405i | ||||||||
1.32288 | − | 2.29129i | 0.204124 | − | 0.353553i | |||||
−1.29150 | −0.196952 | −0.0984762 | − | 0.995139i | ||||||
−0.0984762 | + | 0.995139i | ||||||||
−0.500000 | + | 0.866025i | −0.0753778 | + | 0.130558i | |||||
1.32288 | + | 2.29129i | 0.197203 | + | 0.341565i | |||||
1.32288 | + | 2.29129i | 0.195047 | + | 0.337832i | |||||
−5.96863 | + | 10.3380i | −0.870614 | + | 1.50795i | −0.00925075 | + | 0.999957i | ||
−0.861363 | + | 0.507990i | ||||||||
−1.00000 | −0.144338 | |||||||||
−3.50000 | − | 6.06218i | −0.500000 | − | 0.866025i | |||||
−2.00000 | −0.282843 | |||||||||
−1.50000 | + | 2.59808i | −0.210042 | + | 0.363803i | |||||
2.00000 | + | 3.46410i | 0.277350 | + | 0.480384i | |||||
−2.00000 | − | 3.46410i | −0.274721 | − | 0.475831i | 0.695344 | − | 0.718677i | ||
−0.970065 | + | 0.242846i | ||||||||
−0.500000 | + | 0.866025i | −0.0680414 | + | 0.117851i | |||||
−2.64575 | −0.356753 | |||||||||
−1.32288 | + | 2.29129i | −0.176777 | + | 0.306186i | |||||
5.29150 | 0.700877 | |||||||||
1.00000 | − | 1.73205i | 0.131306 | − | 0.227429i | |||||
7.29150 | + | 12.6293i | 0.949273 | + | 1.64419i | 0.746961 | + | 0.664867i | ||
0.202311 | + | 0.979321i | ||||||||
−1.32288 | − | 2.29129i | −0.170783 | − | 0.295804i | |||||
1.96863 | − | 3.40976i | 0.252057 | − | 0.436575i | −0.712035 | − | 0.702144i | ||
0.964092 | + | 0.265569i | ||||||||
4.00000 | 0.508001 | |||||||||
1.32288 | + | 2.29129i | 0.166667 | + | 0.288675i | |||||
1.00000 | 0.125000 | |||||||||
−5.29150 | + | 9.16515i | −0.656330 | + | 1.13680i | |||||
−0.500000 | − | 0.866025i | −0.0615457 | − | 0.106600i | |||||
6.79150 | + | 11.7632i | 0.829714 | + | 1.43711i | 0.898263 | + | 0.439459i | ||
−0.0685485 | + | 0.997648i | ||||||||
1.50000 | − | 2.59808i | 0.181902 | − | 0.315063i | |||||
−2.64575 | −0.318511 | |||||||||
−7.00000 | −0.836660 | |||||||||
−13.2915 | −1.57741 | −0.788706 | − | 0.614771i | ||||||
−0.788706 | + | 0.614771i | ||||||||
0.500000 | − | 0.866025i | 0.0589256 | − | 0.102062i | |||||
2.35425 | + | 4.07768i | 0.275544 | + | 0.477256i | 0.970272 | − | 0.242016i | ||
−0.694728 | + | 0.719272i | ||||||||
−4.64575 | − | 8.04668i | −0.540058 | − | 0.935407i | |||||
1.00000 | − | 1.73205i | 0.115470 | − | 0.200000i | |||||
−5.29150 | −0.606977 | |||||||||
−2.64575 | −0.301511 | |||||||||
−4.00000 | −0.452911 | |||||||||
−2.67712 | + | 4.63692i | −0.301200 | + | 0.521694i | −0.976408 | − | 0.215934i | ||
0.675208 | + | 0.737627i | ||||||||
1.32288 | + | 2.29129i | 0.147902 | + | 0.256174i | |||||
−0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | |||||
4.50000 | − | 7.79423i | 0.496942 | − | 0.860729i | |||||
−5.58301 | −0.612814 | −0.306407 | − | 0.951901i | ||||||
−0.306407 | + | 0.951901i | ||||||||
−1.32288 | − | 2.29129i | −0.144338 | − | 0.250000i | |||||
7.93725 | 0.860916 | |||||||||
−0.645751 | + | 1.11847i | −0.0696332 | + | 0.120608i | |||||
1.00000 | + | 1.73205i | 0.107211 | + | 0.185695i | |||||
0.500000 | + | 0.866025i | 0.0533002 | + | 0.0923186i | |||||
−6.64575 | + | 11.5108i | −0.704448 | + | 1.22014i | 0.262442 | + | 0.964948i | ||
−0.966890 | + | 0.255192i | ||||||||
2.64575 | 0.278887 | |||||||||
−5.29150 | + | 9.16515i | −0.554700 | + | 0.960769i | |||||
2.64575 | 0.275839 | |||||||||
−2.00000 | + | 3.46410i | −0.207390 | + | 0.359211i | |||||
5.96863 | + | 10.3380i | 0.615617 | + | 1.06628i | |||||
−7.00000 | − | 12.1244i | −0.718185 | − | 1.24393i | |||||
−0.500000 | + | 0.866025i | −0.0510310 | + | 0.0883883i | |||||
9.58301 | 0.973007 | 0.486503 | − | 0.873679i | ||||||
0.486503 | + | 0.873679i | ||||||||
−7.00000 | −0.707107 | |||||||||
1.00000 | 0.100504 | |||||||||
−1.00000 | + | 1.73205i | −0.100000 | + | 0.173205i | |||||
1.64575 | + | 2.85052i | 0.163758 | + | 0.283638i | 0.936214 | − | 0.351431i | ||
−0.772455 | + | 0.635069i | ||||||||
1.50000 | + | 2.59808i | 0.148522 | + | 0.257248i | |||||
5.00000 | − | 8.66025i | 0.492665 | − | 0.853320i | −0.507300 | − | 0.861770i | ||
0.999964 | + | 0.00844953i | ||||||||
4.00000 | 0.392232 | |||||||||
3.50000 | − | 6.06218i | 0.341565 | − | 0.591608i | |||||
−4.00000 | −0.388514 | |||||||||
−4.50000 | + | 7.79423i | −0.435031 | + | 0.753497i | −0.997298 | − | 0.0734594i | ||
0.562267 | + | 0.826956i | ||||||||
0.500000 | + | 0.866025i | 0.0481125 | + | 0.0833333i | |||||
−5.96863 | − | 10.3380i | −0.571691 | − | 0.990197i | −0.996393 | − | 0.0848642i | ||
0.424702 | − | 0.905333i | ||||||||
−1.32288 | + | 2.29129i | −0.126131 | + | 0.218466i | |||||
9.29150 | 0.881910 | |||||||||
1.32288 | + | 2.29129i | 0.125000 | + | 0.216506i | |||||
−8.58301 | −0.807421 | −0.403711 | − | 0.914887i | ||||||
−0.403711 | + | 0.914887i | ||||||||
2.64575 | − | 4.58258i | 0.247797 | − | 0.429198i | |||||
3.50000 | + | 6.06218i | 0.326377 | + | 0.565301i | |||||
−1.00000 | − | 1.73205i | −0.0928477 | − | 0.160817i | |||||
2.00000 | − | 3.46410i | 0.184900 | − | 0.320256i | |||||
14.5830 | 1.34247 | |||||||||
7.93725 | 0.727607 | |||||||||
−2.64575 | −0.241523 | |||||||||
−0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | |||||
−1.96863 | − | 3.40976i | −0.178231 | − | 0.308705i | |||||
4.50000 | + | 7.79423i | 0.405751 | + | 0.702782i | |||||
2.00000 | − | 3.46410i | 0.179605 | − | 0.311086i | |||||
7.93725 | 0.709930 | |||||||||
2.64575 | 0.235702 | |||||||||
−2.64575 | −0.234772 | −0.117386 | − | 0.993086i | ||||||
−0.117386 | + | 0.993086i | ||||||||
0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | |||||
−0.645751 | − | 1.11847i | −0.0568552 | − | 0.0984762i | |||||
5.29150 | + | 9.16515i | 0.464095 | + | 0.803837i | |||||
−1.29150 | + | 2.23695i | −0.112839 | + | 0.195443i | −0.916914 | − | 0.399085i | ||
0.804075 | + | 0.594528i | ||||||||
−1.00000 | −0.0870388 | |||||||||
−7.00000 | − | 12.1244i | −0.606977 | − | 1.05131i | |||||
13.5830 | 1.17339 | |||||||||
−1.32288 | + | 2.29129i | −0.113855 | + | 0.197203i | |||||
−1.50000 | − | 2.59808i | −0.128624 | − | 0.222783i | |||||
1.35425 | + | 2.34563i | 0.115701 | + | 0.200400i | 0.918060 | − | 0.396442i | ||
−0.802359 | + | 0.596842i | ||||||||
−1.32288 | + | 2.29129i | −0.112611 | + | 0.195047i | |||||
8.58301 | 0.728001 | 0.364001 | − | 0.931399i | ||||||
0.364001 | + | 0.931399i | ||||||||
−3.50000 | + | 6.06218i | −0.295804 | + | 0.512348i | |||||
−11.9373 | −1.00530 | |||||||||
−6.64575 | + | 11.5108i | −0.557699 | + | 0.965963i | |||||
2.00000 | + | 3.46410i | 0.167248 | + | 0.289683i | |||||
−0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | |||||
2.64575 | − | 4.58258i | 0.219718 | − | 0.380562i | |||||
4.70850 | 0.389678 | |||||||||
3.50000 | − | 6.06218i | 0.288675 | − | 0.500000i | |||||
−9.29150 | −0.763757 | |||||||||
5.93725 | − | 10.2836i | 0.486399 | − | 0.842467i | −0.513479 | − | 0.858102i | ||
0.999878 | + | 0.0156348i | ||||||||
−1.00000 | − | 1.73205i | −0.0816497 | − | 0.141421i | |||||
−8.67712 | − | 15.0292i | −0.706134 | − | 1.22306i | −0.966281 | − | 0.257491i | ||
0.260146 | − | 0.965569i | ||||||||
−2.64575 | + | 4.58258i | −0.214599 | + | 0.371696i | |||||
−3.00000 | −0.242536 | |||||||||
−1.32288 | + | 2.29129i | −0.106600 | + | 0.184637i | |||||
10.5830 | 0.850047 | |||||||||
−2.00000 | + | 3.46410i | −0.160128 | + | 0.277350i | |||||
5.64575 | + | 9.77873i | 0.450580 | + | 0.780427i | 0.998422 | − | 0.0561543i | ||
−0.547842 | + | 0.836582i | ||||||||
2.67712 | + | 4.63692i | 0.212981 | + | 0.368893i | |||||
2.00000 | − | 3.46410i | 0.158610 | − | 0.274721i | |||||
2.64575 | 0.209165 | |||||||||
3.50000 | + | 6.06218i | 0.275839 | + | 0.477767i | |||||
−1.00000 | −0.0785674 | |||||||||
−7.79150 | + | 13.4953i | −0.610278 | + | 1.05703i | 0.380916 | + | 0.924610i | ||
−0.991193 | + | 0.132422i | ||||||||
−4.50000 | − | 7.79423i | −0.351391 | − | 0.608627i | |||||
−1.32288 | − | 2.29129i | −0.102986 | − | 0.178377i | |||||
−2.79150 | + | 4.83502i | −0.216663 | + | 0.375271i | |||||
19.2915 | 1.49282 | 0.746411 | − | 0.665486i | ||||||
0.746411 | + | 0.665486i | ||||||||
−2.64575 | −0.204124 | |||||||||
3.00000 | 0.230769 | |||||||||
3.96863 | − | 6.87386i | 0.304380 | − | 0.527201i | |||||
2.64575 | + | 4.58258i | 0.202326 | + | 0.350438i | |||||
0.645751 | + | 1.11847i | 0.0492381 | + | 0.0852828i | |||||
−2.00000 | + | 3.46410i | −0.152057 | + | 0.263371i | −0.931984 | − | 0.362500i | ||
0.779926 | + | 0.625871i | ||||||||
2.00000 | 0.151620 | |||||||||
−5.29150 | −0.400000 | |||||||||
1.00000 | 0.0753778 | |||||||||
−7.29150 | + | 12.6293i | −0.548063 | + | 0.949273i | |||||
6.64575 | + | 11.5108i | 0.498120 | + | 0.862769i | |||||
−7.64575 | − | 13.2428i | −0.571470 | − | 0.989816i | −0.996415 | − | 0.0845964i | ||
0.424945 | − | 0.905219i | ||||||||
1.32288 | − | 2.29129i | 0.0986013 | − | 0.170783i | |||||
5.29150 | 0.393314 | 0.196657 | − | 0.980472i | ||||||
0.196657 | + | 0.980472i | ||||||||
5.29150 | + | 9.16515i | 0.392232 | + | 0.679366i | |||||
3.93725 | 0.291050 | |||||||||
1.32288 | − | 2.29129i | 0.0975237 | − | 0.168916i | |||||
−12.2915 | − | 21.2895i | −0.903689 | − | 1.56524i | |||||
2.00000 | + | 3.46410i | 0.146647 | + | 0.254000i | |||||
1.50000 | − | 2.59808i | 0.109691 | − | 0.189990i | |||||
11.9373 | 0.870614 | |||||||||
−1.32288 | + | 2.29129i | −0.0962250 | + | 0.166667i | |||||
−14.0000 | −1.01567 | |||||||||
−8.64575 | + | 14.9749i | −0.625585 | + | 1.08354i | 0.362843 | + | 0.931850i | ||
−0.988428 | + | 0.151694i | ||||||||
0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | |||||
−7.93725 | − | 13.7477i | −0.571336 | − | 0.989583i | −0.996429 | − | 0.0844334i | ||
0.425093 | − | 0.905150i | ||||||||
4.79150 | − | 8.29913i | 0.344010 | − | 0.595843i | |||||
−10.5830 | −0.757865 | |||||||||
−3.50000 | + | 6.06218i | −0.250000 | + | 0.433013i | |||||
−9.87451 | −0.703530 | −0.351765 | − | 0.936088i | ||||||
−0.351765 | + | 0.936088i | ||||||||
0.500000 | − | 0.866025i | 0.0355335 | − | 0.0615457i | |||||
−11.5830 | − | 20.0624i | −0.821097 | − | 1.42218i | −0.904866 | − | 0.425697i | ||
0.0837682 | − | 0.996485i | ||||||||
1.00000 | + | 1.73205i | 0.0707107 | + | 0.122474i | |||||
−6.79150 | + | 11.7632i | −0.479036 | + | 0.829714i | |||||
3.29150 | 0.231589 | |||||||||
2.64575 | − | 4.58258i | 0.185695 | − | 0.321634i | |||||
3.00000 | 0.210042 | |||||||||
11.9059 | − | 20.6216i | 0.831543 | − | 1.44027i | |||||
−5.00000 | − | 8.66025i | −0.348367 | − | 0.603388i | |||||
−1.32288 | − | 2.29129i | −0.0919462 | − | 0.159256i | |||||
2.00000 | − | 3.46410i | 0.138675 | − | 0.240192i | |||||
−5.29150 | −0.366021 | |||||||||
−3.50000 | − | 6.06218i | −0.241523 | − | 0.418330i | |||||
10.7085 | 0.737203 | 0.368602 | − | 0.929587i | ||||||
0.368602 | + | 0.929587i | ||||||||
−2.00000 | + | 3.46410i | −0.137361 | + | 0.237915i | |||||
−6.64575 | − | 11.5108i | −0.455359 | − | 0.788706i | |||||
4.50000 | + | 7.79423i | 0.307614 | + | 0.532803i | |||||
−1.70850 | + | 2.95920i | −0.116519 | + | 0.201816i | |||||
1.00000 | 0.0680414 | |||||||||
10.5830 | 0.718421 | |||||||||
−11.9373 | −0.808493 | |||||||||
−2.35425 | + | 4.07768i | −0.159085 | + | 0.275544i | |||||
1.32288 | + | 2.29129i | 0.0891883 | + | 0.154479i | |||||
−6.00000 | − | 10.3923i | −0.403604 | − | 0.699062i | |||||
4.64575 | − | 8.04668i | 0.311802 | − | 0.540058i | |||||
−24.4575 | −1.63780 | −0.818898 | − | 0.573939i | ||||||
−0.818898 | + | 0.573939i | ||||||||
2.64575 | 0.176777 | |||||||||
2.00000 | 0.133333 | |||||||||
−4.29150 | + | 7.43310i | −0.285467 | + | 0.494442i | |||||
−11.7915 | − | 20.4235i | −0.782630 | − | 1.35555i | −0.930405 | − | 0.366533i | ||
0.147775 | − | 0.989021i | ||||||||
−2.64575 | − | 4.58258i | −0.175219 | − | 0.303488i | |||||
−8.64575 | + | 14.9749i | −0.571327 | + | 0.989568i | 0.425103 | + | 0.905145i | ||
−0.996430 | + | 0.0844228i | ||||||||
7.00000 | 0.461566 | |||||||||
−1.32288 | − | 2.29129i | −0.0870388 | − | 0.150756i | |||||
−2.00000 | −0.131306 | |||||||||
11.0830 | − | 19.1963i | 0.726072 | − | 1.25759i | −0.232460 | − | 0.972606i | ||
0.958531 | − | 0.284987i | ||||||||
−2.00000 | − | 3.46410i | −0.130744 | − | 0.226455i | |||||
15.7915 | + | 27.3517i | 1.03012 | + | 1.78423i | |||||
7.29150 | − | 12.6293i | 0.474636 | − | 0.822094i | |||||
−5.35425 | −0.347796 | |||||||||
3.96863 | − | 6.87386i | 0.257248 | − | 0.445566i | |||||
13.2915 | 0.859756 | 0.429878 | − | 0.902887i | ||||||
0.429878 | + | 0.902887i | ||||||||
−1.32288 | + | 2.29129i | −0.0853913 | + | 0.147902i | |||||
−7.58301 | − | 13.1342i | −0.488464 | − | 0.846045i | 0.511448 | − | 0.859314i | ||
−0.999912 | + | 0.0132694i | ||||||||
0.500000 | + | 0.866025i | 0.0321412 | + | 0.0556702i | |||||
0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | |||||
−3.93725 | −0.252057 | |||||||||
−18.5203 | −1.18322 | |||||||||
9.00000 | 0.573819 | |||||||||
−10.5830 | + | 18.3303i | −0.673380 | + | 1.16633i | |||||
−2.00000 | − | 3.46410i | −0.127000 | − | 0.219971i | |||||
−2.79150 | − | 4.83502i | −0.176904 | − | 0.306407i | |||||
3.96863 | − | 6.87386i | 0.250998 | − | 0.434741i | |||||
12.7085 | 0.802153 | 0.401077 | − | 0.916045i | ||||||
0.401077 | + | 0.916045i | ||||||||
1.32288 | − | 2.29129i | 0.0833333 | − | 0.144338i | |||||
2.64575 | 0.166337 | |||||||||
−1.32288 | + | 2.29129i | −0.0830046 | + | 0.143768i | |||||
3.96863 | + | 6.87386i | 0.248525 | + | 0.430458i | |||||
−0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | |||||
0.645751 | − | 1.11847i | 0.0402809 | − | 0.0697685i | −0.845182 | − | 0.534478i | ||
0.885463 | + | 0.464710i | ||||||||
−1.29150 | −0.0804054 | |||||||||
−12.2915 | − | 21.2895i | −0.763757 | − | 1.32287i | |||||
10.5830 | 0.656330 | |||||||||
−1.00000 | + | 1.73205i | −0.0618984 | + | 0.107211i | |||||
1.29150 | + | 2.23695i | 0.0797893 | + | 0.138199i | |||||
4.93725 | + | 8.55157i | 0.304444 | + | 0.527313i | 0.977137 | − | 0.212609i | ||
−0.672693 | + | 0.739921i | ||||||||
−0.500000 | + | 0.866025i | −0.0307729 | + | 0.0533002i | |||||
−10.5830 | −0.650109 | |||||||||
−14.0000 | −0.858395 | |||||||||
−13.2915 | −0.813427 | |||||||||
6.79150 | − | 11.7632i | 0.414857 | − | 0.718553i | |||||
2.67712 | + | 4.63692i | 0.163227 | + | 0.282718i | 0.936024 | − | 0.351935i | ||
−0.772797 | + | 0.634653i | ||||||||
1.32288 | + | 2.29129i | 0.0805076 | + | 0.139443i | |||||
0.645751 | − | 1.11847i | 0.0392266 | − | 0.0679425i | −0.845746 | − | 0.533586i | ||
0.884972 | + | 0.465644i | ||||||||
−3.00000 | −0.181902 | |||||||||
−10.5830 | −0.640513 | |||||||||
2.70850 | 0.163626 | |||||||||
−1.00000 | + | 1.73205i | −0.0603023 | + | 0.104447i | |||||
1.32288 | + | 2.29129i | 0.0796278 | + | 0.137919i | |||||
−12.5830 | − | 21.7944i | −0.756040 | − | 1.30950i | −0.944856 | − | 0.327486i | ||
0.188816 | − | 0.982012i | ||||||||
4.29150 | − | 7.43310i | 0.257387 | − | 0.445808i | |||||
−4.00000 | −0.239474 | |||||||||
3.50000 | + | 6.06218i | 0.209165 | + | 0.362284i | |||||
−3.00000 | −0.178965 | −0.0894825 | − | 0.995988i | ||||||
−0.0894825 | + | 0.995988i | ||||||||
−5.96863 | + | 10.3380i | −0.355427 | + | 0.615617i | |||||
11.2288 | + | 19.4488i | 0.667480 | + | 1.15611i | 0.978606 | + | 0.205741i | ||
−0.311126 | + | 0.950369i | ||||||||
6.64575 | + | 11.5108i | 0.394353 | + | 0.683039i | |||||
7.00000 | − | 12.1244i | 0.414644 | − | 0.718185i | |||||
4.00000 | 0.236525 | |||||||||
11.9059 | − | 20.6216i | 0.702782 | − | 1.21725i | |||||
−1.00000 | −0.0589256 | |||||||||
4.00000 | − | 6.92820i | 0.235294 | − | 0.407541i | |||||
−2.64575 | − | 4.58258i | −0.155364 | − | 0.269098i | |||||
4.79150 | + | 8.29913i | 0.280883 | + | 0.486503i | |||||
2.35425 | − | 4.07768i | 0.137772 | − | 0.238628i | |||||
6.58301 | 0.384583 | 0.192292 | − | 0.981338i | ||||||
0.192292 | + | 0.981338i | ||||||||
−3.50000 | − | 6.06218i | −0.204124 | − | 0.353553i | |||||
38.5830 | 2.24639 | |||||||||
−4.64575 | + | 8.04668i | −0.270029 | + | 0.467704i | |||||
0.500000 | + | 0.866025i | 0.0290129 | + | 0.0502519i | |||||
−5.93725 | − | 10.2836i | −0.343936 | − | 0.595714i | |||||
5.29150 | − | 9.16515i | 0.306015 | − | 0.530034i | |||||
−2.00000 | −0.115470 | |||||||||
−1.70850 | + | 2.95920i | −0.0984762 | + | 0.170566i | |||||
−17.3542 | −0.998625 | |||||||||
−1.64575 | + | 2.85052i | −0.0945459 | + | 0.163758i | |||||
2.64575 | + | 4.58258i | 0.151744 | + | 0.262829i | |||||
−5.20850 | − | 9.02138i | −0.298238 | − | 0.516563i | |||||
−1.50000 | + | 2.59808i | −0.0857493 | + | 0.148522i | |||||
−32.5830 | −1.85961 | −0.929805 | − | 0.368052i | ||||||
−0.929805 | + | 0.368052i | ||||||||
1.32288 | + | 2.29129i | 0.0753778 | + | 0.130558i | |||||
10.0000 | 0.568880 | |||||||||
5.29150 | − | 9.16515i | 0.300537 | − | 0.520546i | |||||
7.26013 | + | 12.5749i | 0.411684 | + | 0.713058i | 0.995074 | − | 0.0991343i | ||
−0.583390 | + | 0.812192i | ||||||||
2.00000 | + | 3.46410i | 0.113228 | + | 0.196116i | |||||
−0.291503 | + | 0.504897i | −0.0164767 | + | 0.0285385i | −0.874146 | − | 0.485663i | ||
0.857669 | + | 0.514201i | ||||||||
11.2915 | 0.637216 | |||||||||
7.00000 | 0.394405 | |||||||||
5.35425 | 0.301200 | |||||||||
8.61438 | − | 14.9205i | 0.483832 | − | 0.838021i | −0.515996 | − | 0.856591i | ||
0.999828 | + | 0.0185700i | ||||||||
−2.00000 | − | 3.46410i | −0.112154 | − | 0.194257i | |||||
−1.00000 | − | 1.73205i | −0.0559893 | − | 0.0969762i | |||||
1.32288 | − | 2.29129i | 0.0739510 | − | 0.128087i | |||||
−9.00000 | −0.502331 | |||||||||
7.00000 | 0.390095 | |||||||||
15.8745 | 0.883281 | |||||||||
−0.500000 | + | 0.866025i | −0.0277778 | + | 0.0481125i | |||||
4.00000 | + | 6.92820i | 0.221880 | + | 0.384308i | |||||
7.79150 | + | 13.4953i | 0.431531 | + | 0.747434i | |||||
5.96863 | − | 10.3380i | 0.330066 | − | 0.571691i | |||||
−9.00000 | −0.496942 | |||||||||
15.7915 | + | 27.3517i | 0.870614 | + | 1.50795i | |||||
−2.64575 | −0.145644 | |||||||||
−6.50000 | + | 11.2583i | −0.357272 | + | 0.618814i | −0.987504 | − | 0.157593i | ||
0.630232 | + | 0.776407i | ||||||||
2.79150 | + | 4.83502i | 0.153204 | + | 0.265356i | |||||
4.64575 | + | 8.04668i | 0.254586 | + | 0.440955i | |||||
9.64575 | − | 16.7069i | 0.527792 | − | 0.914163i | |||||
35.9373 | 1.96346 | |||||||||
−1.32288 | + | 2.29129i | −0.0721688 | + | 0.125000i | |||||
17.2915 | 0.941928 | 0.470964 | − | 0.882152i | ||||||
0.470964 | + | 0.882152i | ||||||||
1.50000 | − | 2.59808i | 0.0815892 | − | 0.141317i | |||||
−4.29150 | − | 7.43310i | −0.233082 | − | 0.403711i | |||||
−3.96863 | − | 6.87386i | −0.215229 | − | 0.372788i | |||||
2.00000 | − | 3.46410i | 0.108306 | − | 0.187592i | |||||
5.29150 | 0.286132 | |||||||||
−18.5203 | −1.00000 | |||||||||
1.29150 | 0.0696332 | |||||||||
−3.50000 | + | 6.06218i | −0.188434 | + | 0.326377i | |||||
2.00000 | + | 3.46410i | 0.107521 | + | 0.186231i | |||||
−4.20850 | − | 7.28933i | −0.225924 | − | 0.391312i | 0.730672 | − | 0.682728i | ||
−0.956596 | + | 0.291417i | ||||||||
1.00000 | − | 1.73205i | 0.0536056 | − | 0.0928477i | |||||
13.2288 | 0.708119 | 0.354060 | − | 0.935223i | ||||||
0.354060 | + | 0.935223i | ||||||||
−2.64575 | + | 4.58258i | −0.141421 | + | 0.244949i | |||||
4.00000 | 0.213504 | |||||||||
0.500000 | − | 0.866025i | 0.0266501 | − | 0.0461593i | |||||
6.35425 | + | 11.0059i | 0.338203 | + | 0.585784i | 0.984095 | − | 0.177645i | ||
−0.645892 | + | 0.763429i | ||||||||
7.29150 | + | 12.6293i | 0.387539 | + | 0.671237i | |||||
−17.5830 | + | 30.4547i | −0.933209 | + | 1.61637i | |||||
13.2915 | 0.704448 | |||||||||
3.96863 | + | 6.87386i | 0.210042 | + | 0.363803i | |||||
−15.2915 | −0.808181 | |||||||||
0.291503 | − | 0.504897i | 0.0153849 | − | 0.0266475i | −0.858230 | − | 0.513265i | ||
0.873615 | + | 0.486617i | ||||||||
−1.32288 | − | 2.29129i | −0.0697217 | − | 0.120761i | |||||
−4.50000 | − | 7.79423i | −0.236842 | − | 0.410223i | |||||
2.64575 | − | 4.58258i | 0.139058 | − | 0.240855i | |||||
−1.00000 | −0.0524864 | |||||||||
10.5830 | 0.554700 | |||||||||
12.4575 | 0.652056 | |||||||||
1.96863 | − | 3.40976i | 0.102902 | − | 0.178231i | |||||
−10.6458 | − | 18.4390i | −0.555704 | − | 0.962507i | −0.997848 | − | 0.0655633i | ||
0.442145 | − | 0.896944i | ||||||||
−1.32288 | − | 2.29129i | −0.0689597 | − | 0.119442i | |||||
−4.50000 | + | 7.79423i | −0.234261 | + | 0.405751i | |||||
−24.5830 | −1.27801 | |||||||||
−10.5830 | −0.549442 | |||||||||
4.00000 | 0.207390 | |||||||||
−15.9059 | + | 27.5498i | −0.823575 | + | 1.42647i | 0.0794280 | + | 0.996841i | ||
−0.903003 | + | 0.429634i | ||||||||
−1.50000 | − | 2.59808i | −0.0775632 | − | 0.134343i | |||||
3.96863 | + | 6.87386i | 0.204939 | + | 0.354965i | |||||
5.96863 | − | 10.3380i | 0.307808 | − | 0.533140i | |||||
−8.00000 | −0.412021 | |||||||||
1.32288 | + | 2.29129i | 0.0680414 | + | 0.117851i | |||||
−6.41699 | −0.329619 | −0.164809 | − | 0.986325i | ||||||
−0.164809 | + | 0.986325i | ||||||||
−7.00000 | + | 12.1244i | −0.359092 | + | 0.621966i | |||||
−1.32288 | − | 2.29129i | −0.0677730 | − | 0.117386i | |||||
8.64575 | + | 14.9749i | 0.442355 | + | 0.766182i | |||||
−14.6458 | + | 25.3672i | −0.748363 | + | 1.29620i | 0.200244 | + | 0.979746i | ||
−0.948607 | + | 0.316457i | ||||||||
1.00000 | 0.0510310 | |||||||||
−3.50000 | + | 6.06218i | −0.178377 | + | 0.308957i | |||||
−15.8745 | −0.807991 | |||||||||
0.645751 | − | 1.11847i | 0.0328254 | − | 0.0568552i | |||||
−4.79150 | − | 8.29913i | −0.243252 | − | 0.421324i | |||||
−8.03137 | − | 13.9107i | −0.407207 | − | 0.705303i | 0.587369 | − | 0.809319i | ||
−0.994576 | + | 0.104017i | ||||||||
−5.29150 | + | 9.16515i | −0.267946 | + | 0.464095i | |||||
−7.93725 | −0.401404 | |||||||||
3.50000 | + | 6.06218i | 0.176777 | + | 0.306186i | |||||
−2.58301 | −0.130295 | |||||||||
−4.93725 | + | 8.55157i | −0.248735 | + | 0.430822i | |||||
7.08301 | + | 12.2681i | 0.356385 | + | 0.617276i | |||||
−0.500000 | − | 0.866025i | −0.0251259 | − | 0.0435194i | |||||
−3.00000 | + | 5.19615i | −0.150566 | + | 0.260787i | −0.931436 | − | 0.363906i | ||
0.780870 | + | 0.624694i | ||||||||
−23.1660 | −1.16121 | |||||||||
7.00000 | − | 12.1244i | 0.350438 | − | 0.606977i | |||||
2.00000 | 0.100000 | |||||||||
2.06275 | − | 3.57278i | 0.103009 | − | 0.178416i | −0.809914 | − | 0.586548i | ||
0.912923 | + | 0.408132i | ||||||||
6.79150 | + | 11.7632i | 0.338729 | + | 0.586696i | |||||
−8.00000 | − | 13.8564i | −0.398508 | − | 0.690237i | |||||
1.64575 | − | 2.85052i | 0.0818792 | − | 0.141819i | |||||
−2.64575 | −0.131468 | |||||||||
−2.64575 | − | 4.58258i | −0.131306 | − | 0.227429i | |||||
−9.29150 | −0.460563 | |||||||||
1.50000 | − | 2.59808i | 0.0742611 | − | 0.128624i | |||||
−2.06275 | − | 3.57278i | −0.101996 | − | 0.176663i | 0.810511 | − | 0.585724i | ||
−0.912507 | + | 0.409061i | ||||||||
−11.9059 | − | 20.6216i | −0.587990 | − | 1.01843i | |||||
−1.35425 | + | 2.34563i | −0.0668002 | + | 0.115701i | |||||
−10.0000 | −0.492665 | |||||||||
38.5830 | 1.89855 | |||||||||
−2.64575 | −0.130032 | |||||||||
−7.38562 | + | 12.7923i | −0.362546 | + | 0.627948i | |||||
−2.00000 | − | 3.46410i | −0.0980581 | − | 0.169842i | |||||
4.29150 | + | 7.43310i | 0.210156 | + | 0.364001i | |||||
−2.64575 | + | 4.58258i | −0.129408 | + | 0.224141i | |||||
21.8745 | 1.06864 | 0.534320 | − | 0.845282i | ||||||
0.534320 | + | 0.845282i | ||||||||
−7.00000 | −0.341565 | |||||||||
37.8745 | 1.84589 | 0.922945 | − | 0.384931i | ||||||
0.922945 | + | 0.384931i | ||||||||
5.35425 | − | 9.27383i | 0.260641 | − | 0.451443i | |||||
−5.96863 | − | 10.3380i | −0.290205 | − | 0.502649i | |||||
2.00000 | + | 3.46410i | 0.0971286 | + | 0.168232i | |||||
3.00000 | − | 5.19615i | 0.145521 | − | 0.252050i | |||||
−13.2915 | −0.643975 | |||||||||
−5.20850 | − | 9.02138i | −0.252057 | − | 0.436575i | |||||
9.00000 | 0.435031 | |||||||||
−2.00000 | + | 3.46410i | −0.0965609 | + | 0.167248i | |||||
1.70850 | + | 2.95920i | 0.0823911 | + | 0.142706i | |||||
3.35425 | + | 5.80973i | 0.161568 | + | 0.279845i | 0.935431 | − | 0.353508i | ||
−0.773863 | + | 0.633353i | ||||||||
0.500000 | − | 0.866025i | 0.0240563 | − | 0.0416667i | |||||
−19.5830 | −0.941099 | −0.470550 | − | 0.882374i | ||||||
−0.470550 | + | 0.882374i | ||||||||
5.29150 | − | 9.16515i | 0.254000 | − | 0.439941i | |||||
5.29150 | 0.253708 | |||||||||
−5.96863 | + | 10.3380i | −0.285845 | + | 0.495099i | |||||
7.00000 | + | 12.1244i | 0.334855 | + | 0.579987i | |||||
2.35425 | + | 4.07768i | 0.112490 | + | 0.194839i | |||||
7.32288 | − | 12.6836i | 0.349502 | − | 0.605355i | −0.636659 | − | 0.771145i | ||
0.986161 | + | 0.165790i | ||||||||
2.64575 | 0.126131 | |||||||||
7.00000 | 0.333333 | |||||||||
−12.0000 | −0.570782 | |||||||||
−5.58301 | + | 9.67005i | −0.265257 | + | 0.459438i | −0.967631 | − | 0.252370i | ||
0.702374 | + | 0.711808i | ||||||||
−4.64575 | − | 8.04668i | −0.220478 | − | 0.381878i | |||||
17.5830 | + | 30.4547i | 0.833514 | + | 1.44369i | |||||
−12.2288 | + | 21.1808i | −0.579048 | + | 1.00294i | |||||
11.8745 | 0.561645 | |||||||||
1.32288 | − | 2.29129i | 0.0625000 | − | 0.108253i | |||||
−22.4575 | −1.05984 | −0.529918 | − | 0.848049i | ||||||
−0.529918 | + | 0.848049i | ||||||||
1.00000 | − | 1.73205i | 0.0471405 | − | 0.0816497i | |||||
−4.50000 | − | 7.79423i | −0.211897 | − | 0.367016i | |||||
4.29150 | + | 7.43310i | 0.201855 | + | 0.349624i | |||||
8.67712 | − | 15.0292i | 0.407687 | − | 0.706134i | |||||
−23.5830 | −1.10681 | |||||||||
14.0000 | + | 24.2487i | 0.656330 | + | 1.13680i | |||||
−5.29150 | −0.247797 | |||||||||
9.70850 | − | 16.8156i | 0.454144 | − | 0.786601i | −0.544494 | − | 0.838765i | ||
0.998639 | + | 0.0521635i | ||||||||
8.64575 | + | 14.9749i | 0.403989 | + | 0.699730i | |||||
−1.50000 | − | 2.59808i | −0.0700140 | − | 0.121268i | |||||
3.50000 | − | 6.06218i | 0.163188 | − | 0.282650i | |||||
−3.41699 | −0.159145 | −0.0795727 | − | 0.996829i | ||||||
−0.0795727 | + | 0.996829i | ||||||||
−2.64575 | −0.123091 | |||||||||
−35.0405 | −1.62847 | −0.814235 | − | 0.580535i | ||||||
−0.814235 | + | 0.580535i | ||||||||
−1.00000 | + | 1.73205i | −0.0464238 | + | 0.0804084i | |||||
5.29150 | + | 9.16515i | 0.245388 | + | 0.425024i | |||||
−11.0830 | − | 19.1963i | −0.513410 | − | 0.889253i | |||||
−4.00000 | + | 6.92820i | −0.185098 | + | 0.320599i | −0.943610 | − | 0.331061i | ||
0.758512 | + | 0.651660i | ||||||||
−4.00000 | −0.184900 | |||||||||
35.9373 | 1.65943 | |||||||||
31.5830 | 1.45682 | |||||||||
−5.64575 | + | 9.77873i | −0.260142 | + | 0.450580i | |||||
−7.29150 | − | 12.6293i | −0.335619 | − | 0.581308i | |||||
0.645751 | + | 1.11847i | 0.0296917 | + | 0.0514275i | |||||
−2.67712 | + | 4.63692i | −0.122964 | + | 0.212981i | |||||
−10.5830 | −0.485582 | |||||||||
−3.96863 | − | 6.87386i | −0.181902 | − | 0.315063i | |||||
4.00000 | 0.183147 | |||||||||
6.64575 | − | 11.5108i | 0.303970 | − | 0.526491i | |||||
1.06275 | + | 1.84073i | 0.0485581 | + | 0.0841051i | 0.889283 | − | 0.457358i | ||
−0.840725 | + | 0.541463i | ||||||||
1.32288 | + | 2.29129i | 0.0603807 | + | 0.104583i | |||||
−18.5830 | + | 32.1867i | −0.847312 | + | 1.46759i | |||||
−15.1660 | −0.690793 | |||||||||
−3.50000 | + | 6.06218i | −0.159256 | + | 0.275839i | |||||
1.00000 | 0.0454545 | |||||||||
12.6771 | − | 21.9574i | 0.575639 | − | 0.997035i | |||||
−0.500000 | − | 0.866025i | −0.0226805 | − | 0.0392837i | |||||
4.93725 | + | 8.55157i | 0.223728 | + | 0.387509i | 0.955937 | − | 0.293571i | ||
−0.732209 | + | 0.681080i | ||||||||
−1.96863 | + | 3.40976i | −0.0891156 | + | 0.154353i | |||||
−15.5830 | −0.704688 | |||||||||
−9.26013 | + | 16.0390i | −0.418330 | + | 0.724569i | |||||
−1.00000 | −0.0451294 | −0.0225647 | − | 0.999745i | ||||||
−0.0225647 | + | 0.999745i | ||||||||
4.50000 | − | 7.79423i | 0.202876 | − | 0.351391i | |||||
3.00000 | + | 5.19615i | 0.135113 | + | 0.234023i | |||||
10.5830 | + | 18.3303i | 0.476152 | + | 0.824719i | |||||
1.32288 | − | 2.29129i | 0.0594588 | − | 0.102986i | |||||
−4.00000 | −0.179605 | |||||||||
−17.5830 | + | 30.4547i | −0.788706 | + | 1.36608i | |||||
−5.58301 | −0.250180 | |||||||||
−1.29150 | + | 2.23695i | −0.0578156 | + | 0.100140i | −0.893485 | − | 0.449094i | ||
0.835669 | + | 0.549233i | ||||||||
−3.96863 | − | 6.87386i | −0.177482 | − | 0.307409i | |||||
9.64575 | + | 16.7069i | 0.430940 | + | 0.746411i | |||||
6.35425 | − | 11.0059i | 0.283604 | − | 0.491217i | |||||
9.29150 | 0.414288 | 0.207144 | − | 0.978311i | ||||||
0.207144 | + | 0.978311i | ||||||||
−1.32288 | − | 2.29129i | −0.0589256 | − | 0.102062i | |||||
8.70850 | 0.387523 | |||||||||
1.32288 | − | 2.29129i | 0.0588090 | − | 0.101860i | |||||
1.50000 | + | 2.59808i | 0.0666173 | + | 0.115385i | |||||
1.32288 | + | 2.29129i | 0.0586931 | + | 0.101659i | |||||
8.58301 | − | 14.8662i | 0.380435 | − | 0.658933i | −0.610689 | − | 0.791870i | ||
0.991124 | + | 0.132937i | ||||||||
7.93725 | 0.351468 | |||||||||
12.4575 | 0.551088 | |||||||||
−1.00000 | −0.0441942 | |||||||||
−2.64575 | + | 4.58258i | −0.116813 | + | 0.202326i | |||||
−0.645751 | − | 1.11847i | −0.0284829 | − | 0.0493338i | |||||
−13.2288 | − | 22.9129i | −0.582929 | − | 1.00966i | |||||
−0.645751 | + | 1.11847i | −0.0284276 | + | 0.0492381i | |||||
11.9373 | 0.525000 | |||||||||
−24.5830 | −1.08012 | |||||||||
−4.00000 | −0.175581 | |||||||||
5.29150 | − | 9.16515i | 0.232048 | − | 0.401918i | |||||
−21.0000 | − | 36.3731i | −0.920027 | − | 1.59353i | −0.799370 | − | 0.600839i | ||
−0.120656 | − | 0.992694i | ||||||||
1.00000 | + | 1.73205i | 0.0437688 | + | 0.0758098i | |||||
−6.64575 | + | 11.5108i | −0.290598 | + | 0.503331i | −0.973951 | − | 0.226757i | ||
0.683353 | + | 0.730088i | ||||||||
2.58301 | 0.112839 | |||||||||
−2.64575 | − | 4.58258i | −0.115470 | − | 0.200000i | |||||
9.87451 | 0.430549 | |||||||||
−6.00000 | + | 10.3923i | −0.261364 | + | 0.452696i | |||||
0.500000 | + | 0.866025i | 0.0217597 | + | 0.0376889i | |||||
8.00000 | + | 13.8564i | 0.347826 | + | 0.602452i | |||||
−5.29150 | + | 9.16515i | −0.229848 | + | 0.398109i | |||||
−14.5830 | −0.632849 | |||||||||
−7.00000 | + | 12.1244i | −0.303488 | + | 0.525657i | |||||
−36.0000 | −1.55933 | |||||||||
−6.64575 | + | 11.5108i | −0.287590 | + | 0.498120i | |||||
11.9059 | + | 20.6216i | 0.514736 | + | 0.891549i | |||||
−6.79150 | − | 11.7632i | −0.293348 | − | 0.508094i | |||||
7.64575 | − | 13.2428i | 0.329939 | − | 0.571470i | |||||
5.35425 | 0.230838 | |||||||||
−3.50000 | + | 6.06218i | −0.150756 | + | 0.261116i | |||||
2.64575 | 0.113855 | |||||||||
21.9059 | − | 37.9421i | 0.941807 | − | 1.63126i | 0.179787 | − | 0.983706i | ||
0.762021 | − | 0.647553i | ||||||||
−0.645751 | − | 1.11847i | −0.0277374 | − | 0.0480426i | |||||
2.64575 | + | 4.58258i | 0.113540 | + | 0.196657i | |||||
−1.50000 | + | 2.59808i | −0.0643120 | + | 0.111392i | |||||
−31.5830 | −1.35287 | |||||||||
−5.29150 | + | 9.16515i | −0.226455 | + | 0.392232i | |||||
25.2915 | 1.08139 | 0.540693 | − | 0.841220i | ||||||
0.540693 | + | 0.841220i | ||||||||
1.35425 | − | 2.34563i | 0.0578506 | − | 0.100200i | |||||
1.96863 | + | 3.40976i | 0.0840190 | + | 0.145525i | |||||
1.00000 | + | 1.73205i | 0.0426401 | + | 0.0738549i | |||||
5.29150 | − | 9.16515i | 0.225426 | − | 0.390449i | |||||
2.64575 | 0.112611 | |||||||||
7.08301 | + | 12.2681i | 0.301200 | + | 0.521694i | |||||
−25.1660 | −1.06920 | |||||||||
12.2915 | − | 21.2895i | 0.521745 | − | 0.903689i | |||||
−4.29150 | − | 7.43310i | −0.182000 | − | 0.315234i | |||||
4.35425 | + | 7.54178i | 0.184495 | + | 0.319555i | 0.943406 | − | 0.331639i | ||
−0.758911 | + | 0.651194i | ||||||||
−2.00000 | + | 3.46410i | −0.0846668 | + | 0.146647i | |||||
5.16601 | 0.218499 | |||||||||
7.00000 | 0.295804 | |||||||||
3.00000 | 0.126660 | |||||||||
−1.50000 | + | 2.59808i | −0.0632737 | + | 0.109593i | |||||
0 | 0 | 0.866025 | − | 0.500000i | ||||||
−0.866025 | + | 0.500000i | ||||||||
5.96863 | + | 10.3380i | 0.251325 | + | 0.435307i | |||||
−11.3542 | + | 19.6661i | −0.477677 | + | 0.827361i | |||||
22.4575 | 0.943960 | |||||||||
−2.64575 | −0.111111 | |||||||||
13.2915 | 0.557699 | |||||||||
−13.5830 | + | 23.5265i | −0.569429 | + | 0.986280i | 0.427193 | + | 0.904160i | ||
−0.996622 | + | 0.0821200i | ||||||||
−7.00000 | − | 12.1244i | −0.293198 | − | 0.507833i | |||||
−16.8745 | − | 29.2275i | −0.706176 | − | 1.22313i | −0.966265 | − | 0.257548i | ||
0.260089 | − | 0.965585i | ||||||||
2.00000 | − | 3.46410i | 0.0836242 | − | 0.144841i | |||||
−17.2915 | −0.722363 | |||||||||
−11.9059 | − | 20.6216i | −0.496942 | − | 0.860729i | |||||
5.29150 | 0.220671 | |||||||||
−0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | |||||
20.3745 | + | 35.2897i | 0.848202 | + | 1.46913i | 0.882811 | + | 0.469728i | ||
−0.0346094 | + | 0.999401i | ||||||||
−4.00000 | − | 6.92820i | −0.166378 | − | 0.288175i | |||||
7.93725 | − | 13.7477i | 0.329861 | − | 0.571336i | |||||
−5.29150 | −0.219718 | |||||||||
−7.38562 | + | 12.7923i | −0.306407 | + | 0.530713i | |||||
9.58301 | 0.397228 | |||||||||
−2.00000 | + | 3.46410i | −0.0828315 | + | 0.143468i | |||||
−2.35425 | − | 4.07768i | −0.0974195 | − | 0.168736i | |||||
−5.29150 | − | 9.16515i | −0.218777 | − | 0.378932i | |||||
3.29150 | − | 5.70105i | 0.135971 | − | 0.235508i | |||||
−21.8745 | −0.902858 | −0.451429 | − | 0.892307i | ||||||
−0.451429 | + | 0.892307i | ||||||||
−7.00000 | −0.288675 | |||||||||
21.1660 | 0.872130 | |||||||||
19.2915 | − | 33.4139i | 0.794219 | − | 1.37563i | |||||
−4.93725 | − | 8.55157i | −0.203091 | − | 0.351765i | |||||
4.64575 | + | 8.04668i | 0.190939 | + | 0.330716i | |||||
−18.8745 | + | 32.6916i | −0.775083 | + | 1.34248i | 0.159665 | + | 0.987171i | ||
−0.934748 | + | 0.355312i | ||||||||
1.00000 | 0.0410305 | |||||||||
10.5000 | − | 18.1865i | 0.430458 | − | 0.745575i | |||||
−11.8745 | −0.486399 | |||||||||
11.5830 | − | 20.0624i | 0.474061 | − | 0.821097i | |||||
−5.29150 | − | 9.16515i | −0.216386 | − | 0.374791i | |||||
−17.3229 | − | 30.0041i | −0.707794 | − | 1.22593i | −0.965674 | − | 0.259757i | ||
0.257880 | − | 0.966177i | ||||||||
−1.00000 | + | 1.73205i | −0.0408248 | + | 0.0707107i | |||||
−17.4170 | −0.710454 | −0.355227 | − | 0.934780i | ||||||
−0.355227 | + | 0.934780i | ||||||||
1.70850 | + | 2.95920i | 0.0696332 | + | 0.120608i | |||||
−13.5830 | −0.553143 | |||||||||
−8.67712 | + | 15.0292i | −0.353067 | + | 0.611530i | |||||
1.32288 | + | 2.29129i | 0.0537825 | + | 0.0931541i | |||||
1.64575 | + | 2.85052i | 0.0668541 | + | 0.115795i | |||||
−22.5516 | + | 39.0606i | −0.915343 | + | 1.58542i | −0.108943 | + | 0.994048i | ||
−0.806399 | + | 0.591372i | ||||||||
5.29150 | 0.214599 | |||||||||
5.29150 | 0.214423 | |||||||||
−10.4170 | −0.421772 | |||||||||
23.8745 | − | 41.3519i | 0.965859 | − | 1.67292i | |||||
1.50000 | + | 2.59808i | 0.0606339 | + | 0.105021i | |||||
19.9059 | + | 34.4780i | 0.803991 | + | 1.39255i | 0.916970 | + | 0.398956i | ||
−0.112979 | + | 0.993597i | ||||||||
−16.2915 | + | 28.2177i | −0.657472 | + | 1.13877i | |||||
23.8118 | 0.960183 | |||||||||
2.64575 | 0.106600 | |||||||||
−25.2915 | −1.01820 | −0.509099 | − | 0.860708i | ||||||
−0.509099 | + | 0.860708i | ||||||||
5.00000 | − | 8.66025i | 0.201129 | − | 0.348367i | |||||
20.5000 | + | 35.5070i | 0.823965 | + | 1.42715i | 0.902708 | + | 0.430254i | ||
−0.0787435 | + | 0.996895i | ||||||||
−5.29150 | − | 9.16515i | −0.212512 | − | 0.368081i | |||||
1.32288 | − | 2.29129i | 0.0530852 | − | 0.0919462i | |||||
14.5203 | 0.582209 | |||||||||
17.5830 | + | 30.4547i | 0.704448 | + | 1.22014i | |||||
4.00000 | 0.160128 | |||||||||
15.5000 | − | 26.8468i | 0.620000 | − | 1.07387i | |||||
0.291503 | + | 0.504897i | 0.0116508 | + | 0.0201798i | |||||
−2.64575 | − | 4.58258i | −0.105661 | − | 0.183010i | |||||
5.64575 | − | 9.77873i | 0.225290 | − | 0.390214i | |||||
27.8745 | 1.11143 | |||||||||
3.50000 | − | 6.06218i | 0.139443 | − | 0.241523i | |||||
10.1255 | 0.403089 | 0.201545 | − | 0.979479i | ||||||
0.201545 | + | 0.979479i | ||||||||
2.67712 | − | 4.63692i | 0.106490 | − | 0.184447i | |||||
5.35425 | + | 9.27383i | 0.212812 | + | 0.368602i | |||||
−8.61438 | − | 14.9205i | −0.342121 | − | 0.592570i | |||||
−3.50000 | + | 6.06218i | −0.138893 | + | 0.240570i | |||||
−4.00000 | −0.158610 | |||||||||
14.0000 | + | 24.2487i | 0.554700 | + | 0.960769i | |||||
−2.00000 | −0.0791808 | |||||||||
6.64575 | − | 11.5108i | 0.262902 | − | 0.455359i | |||||
−1.32288 | − | 2.29129i | −0.0522913 | − | 0.0905711i | |||||
2.70850 | + | 4.69126i | 0.106979 | + | 0.185293i | 0.914545 | − | 0.404484i | ||
−0.807566 | + | 0.589777i | ||||||||
−4.50000 | + | 7.79423i | −0.177601 | + | 0.307614i | |||||
41.1660 | 1.62343 | 0.811714 | − | 0.584054i | ||||||
0.811714 | + | 0.584054i | ||||||||
3.50000 | − | 6.06218i | 0.137919 | − | 0.238883i | |||||
−3.41699 | −0.134544 | |||||||||
7.93725 | − | 13.7477i | 0.312287 | − | 0.540897i | |||||
−21.1974 | − | 36.7149i | −0.833355 | − | 1.44341i | −0.895363 | − | 0.445338i | ||
0.0620075 | − | 0.998076i | ||||||||
0.500000 | + | 0.866025i | 0.0196419 | + | 0.0340207i | |||||
7.29150 | − | 12.6293i | 0.286217 | − | 0.495742i | |||||
8.00000 | 0.313786 | |||||||||
5.29150 | + | 9.16515i | 0.207390 | + | 0.359211i | |||||
15.5830 | 0.610278 | |||||||||
−6.55163 | + | 11.3478i | −0.256385 | + | 0.444072i | −0.965271 | − | 0.261251i | ||
0.708886 | + | 0.705323i | ||||||||
−5.96863 | − | 10.3380i | −0.233392 | − | 0.404246i | |||||
3.41699 | + | 5.91841i | 0.133513 | + | 0.231251i | |||||
−4.50000 | + | 7.79423i | −0.175695 | + | 0.304314i | |||||
−4.70850 | −0.183696 | |||||||||
31.5830 | 1.23123 | |||||||||
18.1660 | 0.707647 | 0.353824 | − | 0.935312i | ||||||
0.353824 | + | 0.935312i | ||||||||
−1.32288 | + | 2.29129i | −0.0514929 | + | 0.0891883i | |||||
−15.6458 | − | 27.0992i | −0.608549 | − | 1.05404i | −0.991480 | − | 0.130261i | ||
0.382931 | − | 0.923777i | ||||||||
6.50000 | + | 11.2583i | 0.252630 | + | 0.437567i | |||||
6.00000 | − | 10.3923i | 0.233021 | − | 0.403604i | |||||
5.58301 | 0.216663 | |||||||||
−37.0405 | −1.43637 | |||||||||
9.29150 | 0.360038 | |||||||||
−2.64575 | + | 4.58258i | −0.102444 | + | 0.177438i | |||||
−9.64575 | − | 16.7069i | −0.373205 | − | 0.646411i | |||||
−12.2288 | − | 21.1808i | −0.472791 | − | 0.818898i | |||||
17.9686 | − | 31.1226i | 0.694189 | − | 1.20237i | |||||
−3.93725 | −0.151996 | |||||||||
1.32288 | + | 2.29129i | 0.0510310 | + | 0.0883883i | |||||
−40.5830 | −1.56436 | −0.782180 | − | 0.623053i | ||||||
−0.782180 | + | 0.623053i | ||||||||
8.64575 | − | 14.9749i | 0.333022 | − | 0.576811i | |||||
1.00000 | + | 1.73205i | 0.0384900 | + | 0.0666667i | |||||
−1.50000 | − | 2.59808i | −0.0576923 | − | 0.0999260i | |||||
19.9373 | − | 34.5323i | 0.766251 | − | 1.32719i | −0.173332 | − | 0.984863i | ||
0.939583 | − | 0.342322i | ||||||||
−8.58301 | −0.329628 | |||||||||
12.6771 | − | 21.9574i | 0.486503 | − | 0.842649i | |||||
−7.93725 | −0.304380 | |||||||||
11.7915 | − | 20.4235i | 0.451851 | − | 0.782630i | |||||
−2.00000 | − | 3.46410i | −0.0765840 | − | 0.132647i | |||||
−12.5830 | − | 21.7944i | −0.481475 | − | 0.833940i | 0.518299 | − | 0.855200i | ||
−0.999774 | + | 0.0212600i | ||||||||
2.64575 | − | 4.58258i | 0.101163 | − | 0.175219i | |||||
7.16601 | 0.273799 | |||||||||
−9.26013 | + | 16.0390i | −0.353553 | + | 0.612372i | |||||
−17.2915 | −0.659712 | |||||||||
0.645751 | − | 1.11847i | 0.0246190 | − | 0.0426414i | |||||
8.00000 | + | 13.8564i | 0.304776 | + | 0.527887i | |||||
3.50000 | + | 6.06218i | 0.133243 | + | 0.230783i | |||||
14.0830 | − | 24.3925i | 0.535743 | − | 0.927934i | −0.463384 | − | 0.886157i | ||
0.999127 | − | 0.0417762i | ||||||||
4.00000 | 0.152057 | |||||||||
1.32288 | − | 2.29129i | 0.0502519 | − | 0.0870388i | |||||
−8.41699 | −0.319505 | |||||||||
11.3542 | − | 19.6661i | 0.430691 | − | 0.745979i | |||||
−1.00000 | − | 1.73205i | −0.0379049 | − | 0.0656532i | |||||
13.5000 | + | 23.3827i | 0.511349 | + | 0.885682i | |||||
6.61438 | − | 11.4564i | 0.250358 | − | 0.433633i | |||||
22.1660 | 0.838396 | |||||||||
2.64575 | + | 4.58258i | 0.100000 | + | 0.173205i | |||||
−10.4575 | −0.394975 | −0.197487 | − | 0.980305i | ||||||
−0.197487 | + | 0.980305i | ||||||||
2.00000 | − | 3.46410i | 0.0754851 | − | 0.130744i | |||||
−24.5830 | − | 42.5790i | −0.927166 | − | 1.60590i | |||||
−0.500000 | − | 0.866025i | −0.0188445 | − | 0.0326396i | |||||
−15.7915 | + | 27.3517i | −0.594742 | + | 1.03012i | |||||
12.7085 | 0.478291 | |||||||||
8.70850 | 0.327517 | |||||||||
14.5830 | 0.548063 | |||||||||
23.8745 | − | 41.3519i | 0.896626 | − | 1.55300i | 0.0648467 | − | 0.997895i | ||
0.831779 | − | 0.555106i | ||||||||
17.5830 | + | 30.4547i | 0.659878 | + | 1.14294i | |||||
−2.67712 | − | 4.63692i | −0.100400 | − | 0.173898i | |||||
6.64575 | − | 11.5108i | 0.249060 | − | 0.431385i | |||||
−10.5830 | −0.396337 | |||||||||
7.93725 | 0.297044 | |||||||||
10.5830 | 0.395782 | |||||||||
−7.64575 | + | 13.2428i | −0.285735 | + | 0.494908i | |||||
6.64575 | + | 11.5108i | 0.248190 | + | 0.429878i | |||||
−0.291503 | − | 0.504897i | −0.0108788 | − | 0.0188426i | |||||
21.9686 | − | 38.0508i | 0.819292 | − | 1.41905i | −0.0869134 | − | 0.996216i | ||
0.906205 | − | 0.422839i | ||||||||
−2.64575 | −0.0986013 | |||||||||
−13.2288 | − | 22.9129i | −0.492665 | − | 0.853320i | |||||
−9.00000 | −0.334945 | |||||||||
7.58301 | − | 13.1342i | 0.282015 | − | 0.488464i | |||||
−2.64575 | − | 4.58258i | −0.0983286 | − | 0.170310i | |||||
−2.00000 | − | 3.46410i | −0.0742781 | − | 0.128654i | |||||
−0.500000 | + | 0.866025i | −0.0185567 | + | 0.0321412i | |||||
−2.00000 | −0.0741759 | −0.0370879 | − | 0.999312i | ||||||
−0.0370879 | + | 0.999312i | ||||||||
5.29150 | − | 9.16515i | 0.196116 | − | 0.339683i | |||||
1.00000 | 0.0370370 | |||||||||
6.22876 | − | 10.7885i | 0.230537 | − | 0.399301i | |||||
−1.93725 | − | 3.35542i | −0.0716519 | − | 0.124105i | |||||
−1.96863 | − | 3.40976i | −0.0727625 | − | 0.126028i | |||||
1.96863 | − | 3.40976i | 0.0727129 | − | 0.125942i | −0.827377 | − | 0.561648i | ||
0.900089 | + | 0.435705i | ||||||||
−21.2915 | −0.785884 | |||||||||
−9.26013 | − | 16.0390i | −0.341565 | − | 0.591608i | |||||
−2.64575 | −0.0975237 | |||||||||
6.79150 | − | 11.7632i | 0.250168 | − | 0.433304i | |||||
4.50000 | + | 7.79423i | 0.165647 | + | 0.286910i | |||||
1.70850 | + | 2.95920i | 0.0628481 | + | 0.108856i | 0.895737 | − | 0.444584i | ||
−0.832889 | + | 0.553440i | ||||||||
−12.2915 | + | 21.2895i | −0.451845 | + | 0.782618i | |||||
−21.1660 | −0.777553 | |||||||||
−5.29150 | + | 9.16515i | −0.194257 | + | 0.336463i | |||||
−29.2915 | −1.07460 | −0.537301 | − | 0.843391i | ||||||
−0.537301 | + | 0.843391i | ||||||||
2.00000 | − | 3.46410i | 0.0733236 | − | 0.127000i | |||||
−15.7085 | − | 27.2079i | −0.575515 | − | 0.996821i | |||||
15.9059 | + | 27.5498i | 0.582356 | + | 1.00867i | |||||
2.79150 | − | 4.83502i | 0.102136 | − | 0.176904i | |||||
−3.00000 | −0.109691 | |||||||||
11.9059 | + | 20.6216i | 0.435031 | + | 0.753497i | |||||
7.93725 | 0.289828 | |||||||||
9.35425 | − | 16.2020i | 0.341341 | − | 0.591221i | −0.643341 | − | 0.765580i | ||
0.984682 | + | 0.174359i | ||||||||
−5.96863 | − | 10.3380i | −0.217653 | − | 0.376987i | |||||
6.35425 | + | 11.0059i | 0.231562 | + | 0.401077i | |||||
−4.00000 | + | 6.92820i | −0.145671 | + | 0.252310i | |||||
−45.9150 | −1.67102 | |||||||||
2.64575 | 0.0962250 | |||||||||
−11.4170 | −0.414958 | −0.207479 | − | 0.978240i | ||||||
−0.207479 | + | 0.978240i | ||||||||
−3.20850 | + | 5.55728i | −0.116538 | + | 0.201850i | |||||
1.32288 | + | 2.29129i | 0.0480173 | + | 0.0831685i | |||||
7.00000 | + | 12.1244i | 0.253917 | + | 0.439797i | |||||
−13.2085 | + | 22.8778i | −0.478808 | + | 0.829319i | −0.999705 | − | 0.0243003i | ||
0.520897 | + | 0.853620i | ||||||||
−2.64575 | −0.0958455 | |||||||||
−31.5830 | −1.14338 | |||||||||
17.2915 | 0.625585 | |||||||||
−3.96863 | + | 6.87386i | −0.143486 | + | 0.248525i | |||||
14.6458 | + | 25.3672i | 0.529173 | + | 0.916554i | |||||
−29.1660 | − | 50.5170i | −1.05312 | − | 1.82406i | |||||
0.500000 | − | 0.866025i | 0.0180422 | − | 0.0312500i | |||||
−41.2915 | −1.48901 | −0.744505 | − | 0.667617i | ||||||
−0.744505 | + | 0.667617i | ||||||||
3.50000 | + | 6.06218i | 0.126131 | + | 0.218466i | |||||
1.29150 | 0.0465123 | |||||||||
−7.93725 | + | 13.7477i | −0.285668 | + | 0.494792i | |||||
11.9686 | + | 20.7303i | 0.430482 | + | 0.745616i | 0.996915 | − | 0.0784917i | ||
−0.566433 | + | 0.824108i | ||||||||
−0.645751 | − | 1.11847i | −0.0232111 | − | 0.0402027i | |||||
4.00000 | − | 6.92820i | 0.143684 | − | 0.248868i | |||||
−9.58301 | −0.344010 | |||||||||
12.2915 | − | 21.2895i | 0.440955 | − | 0.763757i | |||||
−16.0627 | −0.575877 | |||||||||
23.8118 | − | 41.2432i | 0.853145 | − | 1.47769i | |||||
5.29150 | + | 9.16515i | 0.189466 | + | 0.328165i | |||||
6.64575 | + | 11.5108i | 0.237804 | + | 0.411888i | |||||
−3.96863 | + | 6.87386i | −0.141918 | + | 0.245809i | |||||
−2.00000 | −0.0714742 | |||||||||
7.00000 | 0.250000 | |||||||||
29.8745 | 1.06627 | |||||||||
−1.29150 | + | 2.23695i | −0.0460664 | + | 0.0797893i | |||||
0.645751 | + | 1.11847i | 0.0230185 | + | 0.0398693i | 0.877305 | − | 0.479933i | ||
−0.854287 | + | 0.519802i | ||||||||
4.93725 | + | 8.55157i | 0.175882 | + | 0.304637i | |||||
−4.93725 | + | 8.55157i | −0.175771 | + | 0.304444i | |||||
14.1660 | 0.504004 | |||||||||
−11.3542 | + | 19.6661i | −0.403711 | + | 0.699247i | |||||
−1.00000 | −0.0355335 | |||||||||
−7.87451 | + | 13.6390i | −0.279632 | + | 0.484337i | |||||
3.00000 | + | 5.19615i | 0.106466 | + | 0.184405i | |||||
−5.29150 | − | 9.16515i | −0.187670 | − | 0.325054i | |||||
−11.5830 | + | 20.0624i | −0.410549 | + | 0.711091i | |||||
−13.1033 | −0.464141 | −0.232071 | − | 0.972699i | ||||||
−0.232071 | + | 0.972699i | ||||||||
−7.00000 | − | 12.1244i | −0.247797 | − | 0.429198i | |||||
−35.8118 | −1.26693 | |||||||||
1.00000 | − | 1.73205i | 0.0353553 | − | 0.0612372i | |||||
−6.64575 | − | 11.5108i | −0.234816 | − | 0.406713i | |||||
−2.06275 | − | 3.57278i | −0.0728381 | − | 0.126159i | |||||
2.35425 | − | 4.07768i | 0.0830796 | − | 0.143898i | |||||
13.5830 | 0.479036 | |||||||||
18.5203 | 0.652753 | |||||||||
−16.0000 | −0.563576 | |||||||||
−2.67712 | + | 4.63692i | −0.0942392 | + | 0.163227i | |||||
−1.64575 | − | 2.85052i | −0.0578973 | − | 0.100281i | |||||
19.6660 | + | 34.0625i | 0.691420 | + | 1.19757i | 0.971373 | + | 0.237561i | ||
−0.279953 | + | 0.960014i | ||||||||
−1.32288 | + | 2.29129i | −0.0464811 | + | 0.0805076i | |||||
−4.58301 | −0.160931 | −0.0804655 | − | 0.996757i | ||||||
−0.0804655 | + | 0.996757i | ||||||||
−5.29150 | −0.185695 | |||||||||
1.29150 | 0.0452950 | |||||||||
−4.64575 | + | 8.04668i | −0.162833 | + | 0.282036i | |||||
20.6144 | + | 35.7052i | 0.722090 | + | 1.25070i | |||||
−1.50000 | − | 2.59808i | −0.0525105 | − | 0.0909509i | |||||
−3.41699 | + | 5.91841i | −0.119546 | + | 0.207059i | |||||
−4.12549 | −0.144244 | |||||||||
−5.29150 | − | 9.16515i | −0.184900 | − | 0.320256i | |||||
−23.8118 | −0.831543 | |||||||||
−27.1660 | + | 47.0529i | −0.948100 | + | 1.64216i | −0.198679 | + | 0.980065i | ||
−0.749421 | + | 0.662093i | ||||||||
1.35425 | + | 2.34563i | 0.0472348 | + | 0.0818132i | |||||
21.9373 | + | 37.9964i | 0.764685 | + | 1.32447i | 0.940413 | + | 0.340034i | ||
−0.175729 | + | 0.984439i | ||||||||
−5.00000 | + | 8.66025i | −0.174183 | + | 0.301694i | |||||
−2.00000 | −0.0696311 | |||||||||
19.2915 | − | 33.4139i | 0.671237 | − | 1.16262i | |||||
−49.3320 | −1.71544 | −0.857721 | − | 0.514115i | ||||||
−0.857721 | + | 0.514115i | ||||||||
−1.32288 | + | 2.29129i | −0.0459731 | + | 0.0796278i | |||||
5.93725 | + | 10.2836i | 0.206209 | + | 0.357165i | 0.950517 | − | 0.310671i | ||
−0.744308 | + | 0.667836i | ||||||||
7.38562 | + | 12.7923i | 0.256359 | + | 0.444026i | |||||
12.5830 | − | 21.7944i | 0.436500 | − | 0.756040i | |||||
−4.00000 | −0.138675 | |||||||||
10.5000 | − | 18.1865i | 0.363803 | − | 0.630126i | |||||
8.58301 | 0.297205 | |||||||||
25.5203 | − | 44.2024i | 0.883165 | − | 1.52969i | |||||
2.64575 | + | 4.58258i | 0.0915052 | + | 0.158492i | |||||
−2.00000 | − | 3.46410i | −0.0691301 | − | 0.119737i | |||||
10.9373 | − | 18.9439i | 0.377821 | − | 0.654405i | |||||
21.1033 | 0.728566 | 0.364283 | − | 0.931288i | ||||||
0.364283 | + | 0.931288i | ||||||||
−3.50000 | + | 6.06218i | −0.120761 | + | 0.209165i | |||||
−25.0000 | −0.862069 | |||||||||
18.9373 | − | 32.8003i | 0.652621 | − | 1.13037i | |||||
−1.50000 | − | 2.59808i | −0.0516627 | − | 0.0894825i | |||||
−5.35425 | − | 9.27383i | −0.184301 | − | 0.319218i | |||||
3.96863 | − | 6.87386i | 0.136525 | − | 0.236468i | |||||
−11.9373 | −0.410411 | |||||||||
1.32288 | + | 2.29129i | 0.0454545 | + | 0.0787296i | |||||
4.00000 | 0.137361 | |||||||||
−11.2288 | + | 19.4488i | −0.385370 | + | 0.667480i | |||||
−3.00000 | − | 5.19615i | −0.102899 | − | 0.178227i | |||||
12.2915 | + | 21.2895i | 0.421347 | + | 0.729795i | |||||
−6.64575 | + | 11.5108i | −0.227680 | + | 0.394353i | |||||
−22.5203 | −0.771079 | −0.385539 | − | 0.922691i | ||||||
−0.385539 | + | 0.922691i | ||||||||
−10.4170 | −0.356462 | |||||||||
14.0000 | 0.478790 | |||||||||
4.50000 | − | 7.79423i | 0.153807 | − | 0.266401i | |||||
−26.0830 | − | 45.1771i | −0.890978 | − | 1.54322i | −0.838704 | − | 0.544587i | ||
−0.0522743 | − | 0.998633i | ||||||||
2.00000 | + | 3.46410i | 0.0682789 | + | 0.118262i | |||||
7.37451 | − | 12.7730i | 0.251615 | − | 0.435810i | −0.712356 | − | 0.701819i | ||
0.963971 | + | 0.266009i | ||||||||
3.41699 | 0.116519 | |||||||||
23.8118 | 0.811503 | |||||||||
6.70850 | 0.228492 | |||||||||
−12.5516 | + | 21.7401i | −0.427263 | + | 0.740040i | −0.996629 | − | 0.0820436i | ||
0.569366 | + | 0.822084i | ||||||||
−0.500000 | − | 0.866025i | −0.0170103 | − | 0.0294628i | |||||
5.29150 | + | 9.16515i | 0.179916 | + | 0.311624i | |||||
−9.79150 | + | 16.9594i | −0.332729 | + | 0.576303i | |||||
8.00000 | 0.271694 | |||||||||
−5.29150 | − | 9.16515i | −0.179605 | − | 0.311086i | |||||
5.35425 | 0.181630 | |||||||||
2.64575 | − | 4.58258i | 0.0896994 | − | 0.155364i | |||||
−27.1660 | − | 47.0529i | −0.920485 | − | 1.59433i | |||||
5.96863 | + | 10.3380i | 0.202123 | + | 0.350088i | |||||
−4.79150 | + | 8.29913i | −0.162168 | + | 0.280883i | |||||
14.0000 | 0.473557 | |||||||||
10.5000 | − | 18.1865i | 0.354965 | − | 0.614817i | |||||
4.70850 | 0.159085 | |||||||||
−18.6144 | + | 32.2410i | −0.628563 | + | 1.08870i | 0.359277 | + | 0.933231i | ||
−0.987840 | + | 0.155472i | ||||||||
−7.32288 | − | 12.6836i | −0.247135 | − | 0.428051i | |||||
3.29150 | + | 5.70105i | 0.111020 | + | 0.192292i | |||||
1.32288 | − | 2.29129i | 0.0445941 | − | 0.0772393i | |||||
−19.1660 | −0.645719 | −0.322860 | − | 0.946447i | ||||||
−0.322860 | + | 0.946447i | ||||||||
3.50000 | − | 6.06218i | 0.117851 | − | 0.204124i | |||||
−55.5830 | −1.87052 | −0.935259 | − | 0.353965i | ||||||
−0.935259 | + | 0.353965i | ||||||||
−6.00000 | + | 10.3923i | −0.201802 | + | 0.349531i | |||||
19.2915 | + | 33.4139i | 0.648477 | + | 1.12319i | |||||
5.58301 | + | 9.67005i | 0.187565 | + | 0.324872i | |||||
−21.5203 | + | 37.2742i | −0.722580 | + | 1.25154i | 0.237383 | + | 0.971416i | ||
−0.959963 | + | 0.280128i | ||||||||
−9.29150 | −0.311802 | |||||||||
−3.50000 | + | 6.06218i | −0.117386 | + | 0.203319i | |||||
35.1660 | 1.17877 | |||||||||
−0.500000 | + | 0.866025i | −0.0167506 | + | 0.0290129i | |||||
12.2288 | + | 21.1808i | 0.409449 | + | 0.709187i | |||||
31.5830 | + | 54.7034i | 1.05688 | + | 1.83058i | |||||
5.93725 | − | 10.2836i | 0.198571 | − | 0.343936i | |||||
−40.4575 | −1.35235 | |||||||||
−1.32288 | − | 2.29129i | −0.0441942 | − | 0.0765466i | |||||
10.5830 | 0.353356 | |||||||||
−11.2288 | + | 19.4488i | −0.374708 | + | 0.649014i | |||||
4.00000 | + | 6.92820i | 0.133407 | + | 0.231069i | |||||
−1.00000 | − | 1.73205i | −0.0333333 | − | 0.0577350i | |||||
6.00000 | − | 10.3923i | 0.199889 | − | 0.346218i | |||||
−9.00000 | −0.299667 | |||||||||
−3.41699 | −0.113710 | |||||||||
8.58301 | 0.285467 | |||||||||
7.00000 | − | 12.1244i | 0.232688 | − | 0.403027i | |||||
−8.67712 | − | 15.0292i | −0.288278 | − | 0.499312i | |||||
29.0830 | + | 50.3732i | 0.965685 | + | 1.67262i | 0.707762 | + | 0.706451i | ||
0.257923 | + | 0.966165i | ||||||||
−11.7915 | + | 20.4235i | −0.391315 | + | 0.677777i | |||||
−3.29150 | −0.109172 | |||||||||
28.0000 | 0.928191 | |||||||||
50.3948 | 1.66965 | 0.834827 | − | 0.550513i | ||||||
0.834827 | + | 0.550513i | ||||||||
−2.64575 | + | 4.58258i | −0.0876096 | + | 0.151744i | |||||
2.79150 | + | 4.83502i | 0.0923853 | + | 0.160016i | |||||
−9.70850 | − | 16.8156i | −0.321129 | − | 0.556211i | |||||
5.20850 | − | 9.02138i | 0.172188 | − | 0.298238i | |||||
17.2915 | 0.571327 | |||||||||
3.41699 | + | 5.91841i | 0.112839 | + | 0.195443i | |||||
−3.00000 | −0.0990148 | |||||||||
−7.32288 | + | 12.6836i | −0.241559 | + | 0.418393i | −0.961159 | − | 0.275996i | ||
0.719599 | + | 0.694390i | ||||||||
−3.50000 | − | 6.06218i | −0.115392 | − | 0.199864i | |||||
−16.2915 | − | 28.2177i | −0.536823 | − | 0.929805i | |||||
−1.70850 | + | 2.95920i | −0.0562664 | + | 0.0974562i | |||||
53.1660 | 1.74998 | |||||||||
−1.32288 | + | 2.29129i | −0.0435194 | + | 0.0753778i | |||||
−18.5830 | −0.611005 | |||||||||
−17.5203 | + | 30.3460i | −0.575751 | + | 0.997231i | |||||
5.00000 | + | 8.66025i | 0.164222 | + | 0.284440i | |||||
1.00000 | + | 1.73205i | 0.0328266 | + | 0.0568574i | |||||
−9.22876 | + | 15.9847i | −0.302786 | + | 0.524440i | −0.976766 | − | 0.214309i | ||
0.673980 | + | 0.738749i | ||||||||
10.5830 | 0.347030 | |||||||||
−37.0405 | −1.21395 | |||||||||
−22.1660 | −0.726072 | |||||||||
−7.26013 | + | 12.5749i | −0.237686 | + | 0.411684i | |||||
4.00000 | + | 6.92820i | 0.130884 | + | 0.226698i | |||||
−3.96863 | − | 6.87386i | −0.129788 | − | 0.224799i | |||||
−2.00000 | + | 3.46410i | −0.0653720 | + | 0.113228i | |||||
50.0000 | 1.63343 | 0.816714 | − | 0.577042i | ||||||
0.816714 | + | 0.577042i | ||||||||
17.9686 | − | 31.1226i | 0.586696 | − | 1.01619i | |||||
−0.583005 | −0.0190257 | |||||||||
15.7915 | − | 27.3517i | 0.515062 | − | 0.892114i | |||||
−12.2915 | − | 21.2895i | −0.400692 | − | 0.694018i | 0.593118 | − | 0.805116i | ||
−0.993810 | + | 0.111097i | ||||||||
5.64575 | + | 9.77873i | 0.183949 | + | 0.318608i | |||||
−11.9059 | + | 20.6216i | −0.387709 | + | 0.671531i | |||||
−14.5830 | −0.474636 | |||||||||
3.50000 | + | 6.06218i | 0.113855 | + | 0.197203i | |||||
1.29150 | 0.0419904 | |||||||||
18.2915 | − | 31.6818i | 0.594394 | − | 1.02952i | −0.399238 | − | 0.916847i | ||
0.993632 | − | 0.112673i | ||||||||
2.67712 | + | 4.63692i | 0.0869490 | + | 0.150600i | |||||
−9.41699 | − | 16.3107i | −0.305689 | − | 0.529468i | |||||
−5.29150 | + | 9.16515i | −0.171679 | + | 0.297357i | |||||
17.2288 | 0.558681 | |||||||||
−7.93725 | −0.257248 | |||||||||
−36.7490 | −1.19042 | −0.595209 | − | 0.803571i | ||||||
−0.595209 | + | 0.803571i | ||||||||
2.00000 | − | 3.46410i | 0.0647524 | − | 0.112154i | |||||
22.8745 | + | 39.6198i | 0.740202 | + | 1.28207i | |||||
−6.64575 | − | 11.5108i | −0.214939 | − | 0.372285i | |||||
1.00000 | − | 1.73205i | 0.0323254 | − | 0.0559893i | |||||
2.12549 | 0.0686715 | |||||||||
7.16601 | 0.231403 | |||||||||
2.64575 | 0.0853913 | |||||||||
7.50000 | − | 12.9904i | 0.241935 | − | 0.419045i | |||||
18.5830 | + | 32.1867i | 0.599140 | + | 1.03774i | |||||
−4.50000 | − | 7.79423i | −0.145010 | − | 0.251166i | |||||
−7.58301 | + | 13.1342i | −0.244232 | + | 0.423022i | |||||
−42.0000 | −1.35203 | |||||||||
3.50000 | + | 6.06218i | 0.112611 | + | 0.195047i | |||||
55.9373 | 1.79882 | 0.899410 | − | 0.437105i | ||||||
0.899410 | + | 0.437105i | ||||||||
0.500000 | − | 0.866025i | 0.0160706 | − | 0.0278351i | |||||
7.93725 | + | 13.7477i | 0.254981 | + | 0.441641i | |||||
−12.6771 | − | 21.9574i | −0.407038 | − | 0.705010i | |||||
−3.00000 | + | 5.19615i | −0.0962746 | + | 0.166752i | −0.910140 | − | 0.414301i | ||
0.813865 | + | 0.581054i | ||||||||
−1.00000 | −0.0320750 | |||||||||
11.3542 | − | 19.6661i | 0.364001 | − | 0.630467i | |||||
9.87451 | 0.316400 | |||||||||
−4.00000 | + | 6.92820i | −0.128103 | + | 0.221880i | |||||
1.96863 | + | 3.40976i | 0.0630142 | + | 0.109144i | |||||
14.5830 | + | 25.2585i | 0.466552 | + | 0.808091i | 0.999270 | − | 0.0382014i | ||
−0.532718 | + | 0.846293i | ||||||||
−7.79150 | + | 13.4953i | −0.249145 | + | 0.431531i | |||||
13.2915 | 0.424798 | |||||||||
9.26013 | + | 16.0390i | 0.295804 | + | 0.512348i | |||||
11.9373 | 0.381127 | |||||||||
−0.500000 | + | 0.866025i | −0.0159556 | + | 0.0276360i | |||||
−2.73987 | − | 4.74559i | −0.0873883 | − | 0.151361i | 0.819018 | − | 0.573768i | ||
−0.906406 | + | 0.422407i | ||||||||
−4.50000 | − | 7.79423i | −0.143455 | − | 0.248471i | |||||
−13.0627 | + | 22.6253i | −0.416214 | + | 0.720903i | |||||
6.00000 | 0.191079 | |||||||||
−15.7915 | + | 27.3517i | −0.502649 | + | 0.870614i | |||||
21.1660 | 0.673380 | |||||||||
1.70850 | − | 2.95920i | 0.0543271 | − | 0.0940972i | |||||
−1.32288 | − | 2.29129i | −0.0420437 | − | 0.0728219i | |||||
6.06275 | + | 10.5010i | 0.192589 | + | 0.333575i | 0.946108 | − | 0.323852i | ||
−0.753518 | + | 0.657427i | ||||||||
−2.00000 | + | 3.46410i | −0.0635001 | + | 0.109985i | |||||
−13.0000 | −0.412543 | |||||||||
17.5830 | + | 30.4547i | 0.557699 | + | 0.965963i | |||||
−61.2915 | −1.94307 | |||||||||
−2.79150 | + | 4.83502i | −0.0884521 | + | 0.153204i | |||||
−24.5830 | − | 42.5790i | −0.778552 | − | 1.34849i | −0.932777 | − | 0.360455i | ||
0.154225 | − | 0.988036i | ||||||||
1.29150 | + | 2.23695i | 0.0408818 | + | 0.0708094i | |||||
−4.64575 | + | 8.04668i | −0.146985 | + | 0.254586i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 462.2.i.e.331.2 | yes | 4 | |
3.2 | odd | 2 | 1386.2.k.r.793.1 | 4 | |||
7.2 | even | 3 | 3234.2.a.w.1.1 | 2 | |||
7.4 | even | 3 | inner | 462.2.i.e.67.2 | ✓ | 4 | |
7.5 | odd | 6 | 3234.2.a.ba.1.2 | 2 | |||
21.2 | odd | 6 | 9702.2.a.db.1.2 | 2 | |||
21.5 | even | 6 | 9702.2.a.dm.1.1 | 2 | |||
21.11 | odd | 6 | 1386.2.k.r.991.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.i.e.67.2 | ✓ | 4 | 7.4 | even | 3 | inner | |
462.2.i.e.331.2 | yes | 4 | 1.1 | even | 1 | trivial | |
1386.2.k.r.793.1 | 4 | 3.2 | odd | 2 | |||
1386.2.k.r.991.1 | 4 | 21.11 | odd | 6 | |||
3234.2.a.w.1.1 | 2 | 7.2 | even | 3 | |||
3234.2.a.ba.1.2 | 2 | 7.5 | odd | 6 | |||
9702.2.a.db.1.2 | 2 | 21.2 | odd | 6 | |||
9702.2.a.dm.1.1 | 2 | 21.5 | even | 6 |