Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [357,2,Mod(64,357)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(357, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("357.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 357.k (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 | 64.7 | ||
Root | of defining polynomial | ||
Character | 357.64 | ||
Dual form | 357.2.k.b.106.4 |
-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 .
0.661473i | 0.467732i | 0.972269 | + | 0.233866i | ||||||
−0.972269 | + | 0.233866i | ||||||||
−0.707107 | − | 0.707107i | −0.408248 | − | 0.408248i | |||||
1.56245 | 0.781227 | |||||||||
−1.66372 | − | 1.66372i | −0.744038 | − | 0.744038i | 0.229314 | − | 0.973352i | ||
−0.973352 | + | 0.229314i | ||||||||
0.467732 | − | 0.467732i | 0.190951 | − | 0.190951i | |||||
−0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | |||||
2.35647i | 0.833136i | |||||||||
1.00000i | 0.333333i | |||||||||
1.10050 | − | 1.10050i | 0.348010 | − | 0.348010i | |||||
3.71291 | − | 3.71291i | 1.11948 | − | 1.11948i | 0.127668 | − | 0.991817i | ||
0.991817 | − | 0.127668i | ||||||||
−1.10482 | − | 1.10482i | −0.318935 | − | 0.318935i | |||||
4.49854 | 1.24767 | 0.623835 | − | 0.781556i | ||||||
0.623835 | + | 0.781556i | ||||||||
−0.467732 | − | 0.467732i | −0.125007 | − | 0.125007i | |||||
2.35286i | 0.607505i | |||||||||
1.56617 | 0.391543 | |||||||||
−0.686963 | − | 4.06547i | −0.166613 | − | 0.986022i | |||||
−0.661473 | −0.155911 | |||||||||
− | 3.58834i | − | 0.823222i | −0.911360 | − | 0.411611i | ||||
0.911360 | − | 0.411611i | ||||||||
−2.59949 | − | 2.59949i | −0.581263 | − | 0.581263i | |||||
1.00000 | 0.218218 | |||||||||
2.45599 | + | 2.45599i | 0.523618 | + | 0.523618i | |||||
0.426792 | − | 0.426792i | 0.0889923 | − | 0.0889923i | −0.661209 | − | 0.750202i | ||
0.750202 | + | 0.661209i | ||||||||
1.66627 | − | 1.66627i | 0.340127 | − | 0.340127i | |||||
0.535927i | 0.107185i | |||||||||
2.97566i | 0.583575i | |||||||||
0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | |||||
−1.10482 | + | 1.10482i | −0.208792 | + | 0.208792i | |||||
−4.07014 | − | 4.07014i | −0.755805 | − | 0.755805i | 0.219751 | − | 0.975556i | ||
−0.975556 | + | 0.219751i | ||||||||
−1.55635 | −0.284149 | |||||||||
−0.141237 | − | 0.141237i | −0.0253668 | − | 0.0253668i | 0.694310 | − | 0.719676i | ||
−0.719676 | + | 0.694310i | ||||||||
5.74891i | 1.01627i | |||||||||
−5.25085 | −0.914055 | |||||||||
2.68920 | − | 0.454407i | 0.461194 | − | 0.0779302i | |||||
2.35286 | 0.397705 | |||||||||
1.56245i | 0.260409i | |||||||||
5.41429 | + | 5.41429i | 0.890104 | + | 0.890104i | 0.994532 | − | 0.104429i | ||
−0.104429 | + | 0.994532i | ||||||||
2.37359 | 0.385047 | |||||||||
−3.18095 | − | 3.18095i | −0.509359 | − | 0.509359i | |||||
3.92050 | − | 3.92050i | 0.619885 | − | 0.619885i | |||||
−4.30993 | + | 4.30993i | −0.673098 | + | 0.673098i | −0.958429 | − | 0.285331i | ||
0.285331 | + | 0.958429i | ||||||||
0.661473i | 0.102067i | |||||||||
9.93667i | 1.51533i | 0.652645 | + | 0.757664i | ||||||
−0.652645 | + | 0.757664i | ||||||||
5.80125 | − | 5.80125i | 0.874572 | − | 0.874572i | |||||
1.66372 | − | 1.66372i | 0.248013 | − | 0.248013i | |||||
0.282311 | + | 0.282311i | 0.0416245 | + | 0.0416245i | |||||
6.16149 | 0.898745 | 0.449373 | − | 0.893344i | ||||||
0.449373 | + | 0.893344i | ||||||||
−1.10745 | − | 1.10745i | −0.159847 | − | 0.159847i | |||||
− | 1.00000i | − | 0.142857i | |||||||
−0.354501 | −0.0501340 | |||||||||
−2.38897 | + | 3.36048i | −0.334522 | + | 0.470561i | |||||
7.02876 | 0.974714 | |||||||||
9.47974i | 1.30214i | 0.759017 | + | 0.651071i | ||||||
−0.759017 | + | 0.651071i | ||||||||
0.467732 | + | 0.467732i | 0.0636502 | + | 0.0636502i | |||||
−12.3545 | −1.66588 | |||||||||
−1.66627 | − | 1.66627i | −0.222665 | − | 0.222665i | |||||
−2.53734 | + | 2.53734i | −0.336079 | + | 0.336079i | |||||
2.69228 | − | 2.69228i | 0.353514 | − | 0.353514i | |||||
− | 1.92313i | − | 0.250370i | −0.992133 | − | 0.125185i | ||||
0.992133 | − | 0.125185i | ||||||||
3.67623i | 0.474599i | |||||||||
−7.45587 | + | 7.45587i | −0.954626 | + | 0.954626i | −0.999014 | − | 0.0443882i | ||
0.0443882 | + | 0.999014i | ||||||||
0.0934241 | − | 0.0934241i | 0.0118649 | − | 0.0118649i | |||||
−0.707107 | − | 0.707107i | −0.0890871 | − | 0.0890871i | |||||
−0.670404 | −0.0838006 | |||||||||
−7.48431 | − | 7.48431i | −0.928314 | − | 0.928314i | |||||
− | 3.47329i | − | 0.427533i | |||||||
−7.47259 | −0.912922 | −0.456461 | − | 0.889743i | ||||||
−0.456461 | + | 0.889743i | ||||||||
−1.07335 | − | 6.35212i | −0.130163 | − | 0.770307i | |||||
−0.603575 | −0.0726619 | |||||||||
1.55635i | 0.186019i | |||||||||
−1.09194 | − | 1.09194i | −0.129590 | − | 0.129590i | 0.639337 | − | 0.768927i | ||
−0.768927 | + | 0.639337i | ||||||||
−2.35647 | −0.277712 | |||||||||
−6.99329 | − | 6.99329i | −0.818503 | − | 0.818503i | 0.167388 | − | 0.985891i | ||
−0.985891 | + | 0.167388i | ||||||||
−3.58140 | + | 3.58140i | −0.416330 | + | 0.416330i | |||||
0.378957 | − | 0.378957i | 0.0437582 | − | 0.0437582i | |||||
− | 5.60662i | − | 0.643123i | |||||||
5.25085i | 0.598390i | |||||||||
2.10411 | − | 2.10411i | 0.238243 | − | 0.238243i | |||||
7.40415 | − | 7.40415i | 0.833032 | − | 0.833032i | −0.154898 | − | 0.987930i | ||
0.987930 | + | 0.154898i | ||||||||
−2.60567 | − | 2.60567i | −0.291323 | − | 0.291323i | |||||
−1.00000 | −0.111111 | |||||||||
−2.85090 | − | 2.85090i | −0.314829 | − | 0.314829i | |||||
8.09294i | 0.888316i | 0.895949 | + | 0.444158i | ||||||
−0.895949 | + | 0.444158i | ||||||||
1.56245 | 0.170478 | |||||||||
−5.62090 | + | 7.90672i | −0.609672 | + | 0.857605i | |||||
−6.57283 | −0.708767 | |||||||||
5.75604i | 0.617113i | |||||||||
8.74934 | + | 8.74934i | 0.932683 | + | 0.932683i | |||||
−12.3039 | −1.30421 | −0.652105 | − | 0.758129i | ||||||
−0.652105 | + | 0.758129i | ||||||||
1.10050 | + | 1.10050i | 0.116003 | + | 0.116003i | |||||
−3.18095 | + | 3.18095i | −0.333454 | + | 0.333454i | |||||
0.666843 | − | 0.666843i | 0.0695232 | − | 0.0695232i | |||||
0.199739i | 0.0207119i | |||||||||
4.07566i | 0.420372i | |||||||||
−5.97000 | + | 5.97000i | −0.612509 | + | 0.612509i | |||||
4.06509 | − | 4.06509i | 0.414892 | − | 0.414892i | |||||
5.83964 | + | 5.83964i | 0.592925 | + | 0.592925i | 0.938421 | − | 0.345495i | ||
−0.345495 | + | 0.938421i | ||||||||
0.661473 | 0.0668188 | |||||||||
3.71291 | + | 3.71291i | 0.373162 | + | 0.373162i | |||||
0.837361i | 0.0837361i | |||||||||
12.3613 | 1.22999 | 0.614995 | − | 0.788531i | ||||||
0.614995 | + | 0.788531i | ||||||||
−2.22287 | − | 1.58024i | −0.220097 | − | 0.156467i | |||||
3.48146 | 0.343039 | 0.171519 | − | 0.985181i | ||||||
0.171519 | + | 0.985181i | ||||||||
10.6007i | 1.03948i | |||||||||
−1.66372 | − | 1.66372i | −0.162362 | − | 0.162362i | |||||
−6.27059 | −0.609053 | |||||||||
−3.28575 | − | 3.28575i | −0.317645 | − | 0.317645i | 0.530217 | − | 0.847862i | ||
−0.847862 | + | 0.530217i | ||||||||
1.10482 | − | 1.10482i | 0.106312 | − | 0.106312i | |||||
9.85208 | − | 9.85208i | 0.943659 | − | 0.943659i | −0.0548368 | − | 0.998495i | ||
0.998495 | + | 0.0548368i | ||||||||
− | 8.17215i | − | 0.779184i | |||||||
− | 7.65696i | − | 0.726767i | |||||||
−1.10745 | + | 1.10745i | −0.104644 | + | 0.104644i | |||||
−6.98837 | + | 6.98837i | −0.657411 | + | 0.657411i | −0.954767 | − | 0.297356i | ||
0.297356 | + | 0.954767i | ||||||||
−1.67838 | − | 1.67838i | −0.157195 | − | 0.157195i | |||||
−1.42012 | −0.132427 | |||||||||
−6.35940 | − | 6.35940i | −0.590456 | − | 0.590456i | |||||
4.49854i | 0.415890i | |||||||||
1.27210 | 0.117106 | |||||||||
3.36048 | + | 2.38897i | 0.308055 | + | 0.218996i | |||||
−5.54442 | −0.506134 | |||||||||
− | 16.5714i | − | 1.50649i | |||||||
−4.93185 | − | 4.93185i | −0.446509 | − | 0.446509i | |||||
6.09517 | 0.549583 | |||||||||
−0.220676 | − | 0.220676i | −0.0198173 | − | 0.0198173i | |||||
−7.42697 | + | 7.42697i | −0.664288 | + | 0.664288i | |||||
0.467732 | − | 0.467732i | 0.0416689 | − | 0.0416689i | |||||
− | 14.8193i | − | 1.31500i | −0.753456 | − | 0.657499i | ||||
0.753456 | − | 0.657499i | ||||||||
11.0544i | 0.977077i | |||||||||
7.02628 | − | 7.02628i | 0.618630 | − | 0.618630i | |||||
4.95066 | − | 4.95066i | 0.434202 | − | 0.434202i | |||||
6.46192 | + | 6.46192i | 0.564580 | + | 0.564580i | 0.930605 | − | 0.366025i | ||
−0.366025 | + | 0.930605i | ||||||||
−8.20421 | −0.714085 | |||||||||
2.53734 | + | 2.53734i | 0.220015 | + | 0.220015i | |||||
− | 4.94291i | − | 0.427003i | |||||||
−2.35286 | −0.202502 | |||||||||
9.58015 | − | 1.61881i | 0.821491 | − | 0.138811i | |||||
−7.53516 | −0.643772 | −0.321886 | − | 0.946778i | ||||||
−0.321886 | + | 0.946778i | ||||||||
− | 0.399248i | − | 0.0339863i | |||||||
−0.364800 | − | 0.364800i | −0.0309419 | − | 0.0309419i | 0.691467 | − | 0.722408i | ||
−0.722408 | + | 0.691467i | ||||||||
3.67623 | 0.310698 | |||||||||
−4.35683 | − | 4.35683i | −0.366911 | − | 0.366911i | |||||
0.722289 | − | 0.722289i | 0.0606132 | − | 0.0606132i | |||||
16.7027 | − | 16.7027i | 1.39675 | − | 1.39675i | |||||
1.56617i | 0.130514i | |||||||||
13.5431i | 1.12470i | |||||||||
4.62587 | − | 4.62587i | 0.382840 | − | 0.382840i | |||||
−0.707107 | + | 0.707107i | −0.0583212 | + | 0.0583212i | |||||
8.45958 | + | 8.45958i | 0.695373 | + | 0.695373i | |||||
2.24948 | 0.184284 | 0.0921422 | − | 0.995746i | ||||||
0.0921422 | + | 0.995746i | ||||||||
0.250670 | + | 0.250670i | 0.0204671 | + | 0.0204671i | |||||
10.1044i | 0.822286i | 0.911571 | + | 0.411143i | ||||||
−0.911571 | + | 0.411143i | ||||||||
8.45580 | 0.685856 | |||||||||
4.06547 | − | 0.686963i | 0.328674 | − | 0.0555377i | |||||
−3.47329 | −0.279886 | |||||||||
0.469956i | 0.0377478i | |||||||||
−4.97008 | − | 4.97008i | −0.397925 | − | 0.397925i | |||||
−23.6643 | −1.88862 | −0.944310 | − | 0.329058i | ||||||
−0.944310 | + | 0.329058i | ||||||||
4.89764 | + | 4.89764i | 0.389636 | + | 0.389636i | |||||
6.70319 | − | 6.70319i | 0.531597 | − | 0.531597i | |||||
9.56458 | − | 9.56458i | 0.756146 | − | 0.756146i | |||||
0.603575i | 0.0475684i | |||||||||
− | 0.661473i | − | 0.0519702i | |||||||
16.9353 | − | 16.9353i | 1.32648 | − | 1.32648i | 0.418054 | − | 0.908422i | ||
0.908422 | − | 0.418054i | ||||||||
−6.73407 | + | 6.73407i | −0.525843 | + | 0.525843i | |||||
8.73594 | + | 8.73594i | 0.680092 | + | 0.680092i | |||||
−5.35326 | −0.415493 | |||||||||
17.8008 | + | 17.8008i | 1.37747 | + | 1.37747i | 0.848875 | + | 0.528593i | ||
0.528593 | + | 0.848875i | ||||||||
2.35647i | 0.181805i | |||||||||
7.23686 | 0.556681 | |||||||||
−5.23008 | − | 3.71807i | −0.401129 | − | 0.285163i | |||||
3.58834 | 0.274407 | |||||||||
15.5256i | 1.18381i | |||||||||
7.89482 | + | 7.89482i | 0.600232 | + | 0.600232i | 0.940374 | − | 0.340142i | ||
−0.340142 | + | 0.940374i | ||||||||
−3.80746 | −0.288643 | |||||||||
−0.378957 | − | 0.378957i | −0.0286465 | − | 0.0286465i | |||||
5.81505 | − | 5.81505i | 0.438326 | − | 0.438326i | |||||
−1.35986 | + | 1.35986i | −0.102213 | + | 0.102213i | |||||
− | 8.13869i | − | 0.610020i | |||||||
− | 2.39571i | − | 0.179064i | −0.995984 | − | 0.0895320i | ||||
0.995984 | − | 0.0895320i | ||||||||
2.59949 | − | 2.59949i | 0.193754 | − | 0.193754i | |||||
−13.8862 | + | 13.8862i | −1.03216 | + | 1.03216i | −0.0326907 | + | 0.999466i | ||
−0.999466 | + | 0.0326907i | ||||||||
−2.10411 | − | 2.10411i | −0.155967 | − | 0.155967i | |||||
10.5442 | 0.779449 | |||||||||
1.00572 | + | 1.00572i | 0.0741427 | + | 0.0741427i | |||||
− | 18.0157i | − | 1.32454i | |||||||
−0.132122 | −0.00968763 | |||||||||
−17.6454 | − | 12.5441i | −1.29036 | − | 0.917316i | |||||
9.62704 | 0.702124 | |||||||||
1.00000i | 0.0727393i | |||||||||
−3.94899 | − | 3.94899i | −0.286490 | − | 0.286490i | |||||
5.22705 | 0.378216 | 0.189108 | − | 0.981956i | ||||||
0.189108 | + | 0.981956i | ||||||||
0.474048 | + | 0.474048i | 0.0342114 | + | 0.0342114i | |||||
−15.3421 | + | 15.3421i | −1.10435 | + | 1.10435i | −0.110467 | + | 0.993880i | ||
−0.993880 | + | 0.110467i | ||||||||
−3.86276 | + | 3.86276i | −0.277330 | + | 0.277330i | |||||
10.5844i | 0.757965i | |||||||||
− | 1.56245i | − | 0.111604i | |||||||
4.73493 | − | 4.73493i | 0.337350 | − | 0.337350i | −0.518019 | − | 0.855369i | ||
0.855369 | + | 0.518019i | ||||||||
−2.45599 | + | 2.45599i | −0.174539 | + | 0.174539i | |||||
−4.74936 | − | 4.74936i | −0.336673 | − | 0.336673i | 0.518441 | − | 0.855114i | ||
−0.855114 | + | 0.518441i | ||||||||
−1.26289 | −0.0893000 | |||||||||
5.28392 | + | 5.28392i | 0.372699 | + | 0.372699i | |||||
8.17663i | 0.575306i | |||||||||
5.75604 | 0.403995 | |||||||||
−3.73265 | + | 5.25060i | −0.261338 | + | 0.367615i | |||||
14.3410 | 1.00162 | |||||||||
2.30289i | 0.160450i | |||||||||
0.426792 | + | 0.426792i | 0.0296641 | + | 0.0296641i | |||||
7.04548 | 0.488516 | |||||||||
−13.3232 | − | 13.3232i | −0.921584 | − | 0.921584i | |||||
1.10050 | − | 1.10050i | 0.0759421 | − | 0.0759421i | |||||
−9.31494 | + | 9.31494i | −0.641267 | + | 0.641267i | −0.950867 | − | 0.309600i | ||
0.309600 | + | 0.950867i | ||||||||
14.8117i | 1.01727i | |||||||||
1.54424i | 0.105809i | |||||||||
2.17343 | − | 2.17343i | 0.148573 | − | 0.148573i | |||||
16.5318 | − | 16.5318i | 1.12746 | − | 1.12746i | |||||
1.66627 | + | 1.66627i | 0.113376 | + | 0.113376i | |||||
0.199739 | 0.0135591 | |||||||||
6.51688 | + | 6.51688i | 0.441379 | + | 0.441379i | |||||
9.89000i | 0.668305i | |||||||||
−19.3033 | −1.30143 | |||||||||
−3.09033 | − | 18.2887i | −0.207878 | − | 1.23023i | |||||
5.06487 | 0.339932 | |||||||||
− | 12.0749i | − | 0.808596i | −0.914627 | − | 0.404298i | ||||
0.914627 | − | 0.404298i | ||||||||
−4.06509 | − | 4.06509i | −0.271610 | − | 0.271610i | |||||
−0.535927 | −0.0357285 | |||||||||
−4.62262 | − | 4.62262i | −0.307492 | − | 0.307492i | |||||
7.04430 | − | 7.04430i | 0.467547 | − | 0.467547i | −0.433572 | − | 0.901119i | ||
0.901119 | + | 0.433572i | ||||||||
−3.96448 | + | 3.96448i | −0.262554 | + | 0.262554i | |||||
0.341524i | 0.0225685i | 0.999936 | + | 0.0112843i | ||||||
−0.999936 | + | 0.0112843i | ||||||||
− | 0.939374i | − | 0.0619405i | |||||||
3.71291 | − | 3.71291i | 0.244292 | − | 0.244292i | |||||
9.59114 | − | 9.59114i | 0.629689 | − | 0.629689i | |||||
11.2402 | + | 11.2402i | 0.736371 | + | 0.736371i | 0.971874 | − | 0.235502i | ||
−0.235502 | + | 0.971874i | ||||||||
−2.97566 | −0.194525 | |||||||||
−10.2510 | − | 10.2510i | −0.668701 | − | 0.668701i | |||||
− | 3.00480i | − | 0.195596i | |||||||
−10.4711 | −0.680168 | |||||||||
−1.58024 | + | 2.22287i | −0.102432 | + | 0.144087i | |||||
−1.16131 | −0.0751187 | −0.0375594 | − | 0.999294i | ||||||
−0.0375594 | + | 0.999294i | ||||||||
3.68497i | 0.237864i | |||||||||
6.45266 | + | 6.45266i | 0.415652 | + | 0.415652i | 0.883702 | − | 0.468050i | ||
−0.468050 | + | 0.883702i | ||||||||
10.9615 | 0.704634 | |||||||||
0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | |||||
−11.6495 | + | 11.6495i | −0.745780 | + | 0.745780i | |||||
−1.66372 | + | 1.66372i | −0.106291 | + | 0.106291i | |||||
4.03178i | 0.257057i | |||||||||
− | 16.1423i | − | 1.02711i | |||||||
0.332819 | − | 0.332819i | 0.0211340 | − | 0.0211340i | |||||
5.72257 | − | 5.72257i | 0.362653 | − | 0.362653i | |||||
−4.91273 | − | 4.91273i | −0.310709 | − | 0.310709i | |||||
−2.02464 | −0.127794 | −0.0638970 | − | 0.997956i | ||||||
−0.0638970 | + | 0.997956i | ||||||||
−1.10482 | − | 1.10482i | −0.0695972 | − | 0.0695972i | |||||
− | 3.16928i | − | 0.199251i | |||||||
9.80254 | 0.615066 | |||||||||
9.56547 | − | 1.61632i | 0.599013 | − | 0.101218i | |||||
−8.65297 | −0.540811 | |||||||||
19.5756i | 1.22109i | 0.791982 | + | 0.610545i | ||||||
−0.791982 | + | 0.610545i | ||||||||
4.64769 | + | 4.64769i | 0.289353 | + | 0.289353i | |||||
−7.65696 | −0.475780 | |||||||||
−11.6939 | − | 11.6939i | −0.725224 | − | 0.725224i | |||||
4.07014 | − | 4.07014i | 0.251935 | − | 0.251935i | |||||
−4.27438 | + | 4.27438i | −0.264072 | + | 0.264072i | |||||
− | 23.4356i | − | 1.44510i | −0.691319 | − | 0.722550i | ||||
0.691319 | − | 0.722550i | ||||||||
− | 12.3734i | − | 0.761533i | |||||||
15.7716 | − | 15.7716i | 0.968843 | − | 0.968843i | |||||
−1.67838 | + | 1.67838i | −0.102908 | + | 0.102908i | |||||
8.70017 | + | 8.70017i | 0.532441 | + | 0.532441i | |||||
−11.6756 | −0.713200 | |||||||||
5.65950 | + | 5.65950i | 0.345066 | + | 0.345066i | 0.858268 | − | 0.513202i | ||
−0.513202 | + | 0.858268i | ||||||||
− | 1.55635i | − | 0.0947164i | |||||||
24.5987 | 1.49427 | 0.747133 | − | 0.664675i | ||||||
0.747133 | + | 0.664675i | ||||||||
−1.07590 | − | 6.36723i | −0.0652361 | − | 0.386070i | |||||
4.49854 | 0.272264 | |||||||||
− | 4.98430i | − | 0.301112i | |||||||
1.98985 | + | 1.98985i | 0.119992 | + | 0.119992i | |||||
−0.943058 | −0.0567654 | |||||||||
−18.9255 | − | 18.9255i | −1.13712 | − | 1.13712i | −0.988963 | − | 0.148162i | ||
−0.148162 | − | 0.988963i | ||||||||
0.241305 | − | 0.241305i | 0.0144725 | − | 0.0144725i | |||||
0.141237 | − | 0.141237i | 0.00845562 | − | 0.00845562i | |||||
5.54442i | 0.331343i | |||||||||
24.2978i | 1.44948i | 0.689020 | + | 0.724742i | ||||||
−0.689020 | + | 0.724742i | ||||||||
2.88192 | − | 2.88192i | 0.171616 | − | 0.171616i | |||||
−6.48189 | + | 6.48189i | −0.385308 | + | 0.385308i | −0.873010 | − | 0.487702i | ||
0.487702 | + | 0.873010i | ||||||||
−1.70611 | − | 1.70611i | −0.101239 | − | 0.101239i | |||||
8.44285 | 0.500111 | |||||||||
11.0484 | + | 11.0484i | 0.653303 | + | 0.653303i | |||||
− | 6.09517i | − | 0.359786i | |||||||
−5.74891 | −0.338758 | |||||||||
−16.0562 | + | 5.58566i | −0.944480 | + | 0.328568i | |||||
−8.95841 | −0.526056 | |||||||||
− | 8.25850i | − | 0.484122i | |||||||
−10.9267 | − | 10.9267i | −0.639436 | − | 0.639436i | |||||
2.19698 | 0.128349 | 0.0641746 | − | 0.997939i | ||||||
0.0641746 | + | 0.997939i | ||||||||
−0.467732 | − | 0.467732i | −0.0272787 | − | 0.0272787i | |||||
−3.19955 | + | 3.19955i | −0.186285 | + | 0.186285i | |||||
−12.7586 | + | 12.7586i | −0.741578 | + | 0.741578i | |||||
− | 5.25085i | − | 0.304685i | |||||||
1.48797i | 0.0861956i | |||||||||
1.91994 | − | 1.91994i | 0.111033 | − | 0.111033i | |||||
0.592104 | − | 0.592104i | 0.0341851 | − | 0.0341851i | |||||
−7.02628 | − | 7.02628i | −0.404988 | − | 0.404988i | |||||
−6.68379 | −0.384609 | |||||||||
−8.74073 | − | 8.74073i | −0.502142 | − | 0.502142i | |||||
− | 5.61996i | − | 0.322327i | |||||||
24.8090 | 1.42056 | |||||||||
0.454407 | + | 2.68920i | 0.0259767 | + | 0.153731i | |||||
21.0887 | 1.20360 | 0.601798 | − | 0.798648i | ||||||
0.601798 | + | 0.798648i | ||||||||
8.20421i | 0.467478i | |||||||||
−2.46176 | − | 2.46176i | −0.140045 | − | 0.140045i | |||||
−0.310863 | −0.0176558 | |||||||||
−7.97525 | − | 7.97525i | −0.452235 | − | 0.452235i | 0.443861 | − | 0.896096i | ||
−0.896096 | + | 0.443861i | ||||||||
7.49579 | − | 7.49579i | 0.424366 | − | 0.424366i | |||||
−14.0917 | + | 14.0917i | −0.796511 | + | 0.796511i | −0.982544 | − | 0.186033i | ||
0.186033 | + | 0.982544i | ||||||||
− | 15.6533i | − | 0.883367i | |||||||
2.35286i | 0.132568i | |||||||||
11.5686 | − | 11.5686i | 0.650787 | − | 0.650787i | |||||
−21.5746 | + | 21.5746i | −1.21175 | + | 1.21175i | −0.241299 | + | 0.970451i | ||
−0.970451 | + | 0.241299i | ||||||||
4.43397 | + | 4.43397i | 0.248645 | + | 0.248645i | |||||
−30.2241 | −1.69222 | |||||||||
1.11537 | + | 1.11537i | 0.0623508 | + | 0.0623508i | |||||
4.64675i | 0.259356i | |||||||||
−0.399248 | −0.0222492 | |||||||||
−14.5883 | + | 2.46506i | −0.811715 | + | 0.137160i | |||||
−1.56245 | −0.0868030 | |||||||||
2.41089i | 0.133732i | |||||||||
11.2022 | + | 11.2022i | 0.620435 | + | 0.620435i | |||||
−13.9330 | −0.770494 | |||||||||
−10.1562 | − | 10.1562i | −0.560783 | − | 0.560783i | |||||
−4.35683 | + | 4.35683i | −0.240200 | + | 0.240200i | |||||
−5.77858 | + | 5.77858i | −0.318101 | + | 0.318101i | |||||
24.7998i | 1.36312i | 0.731763 | + | 0.681560i | ||||||
−0.731763 | + | 0.681560i | ||||||||
12.6448i | 0.693976i | |||||||||
−5.41429 | + | 5.41429i | −0.296701 | + | 0.296701i | |||||
−11.7748 | + | 11.7748i | −0.644286 | + | 0.644286i | |||||
12.4323 | + | 12.4323i | 0.679249 | + | 0.679249i | |||||
1.56617 | 0.0854416 | |||||||||
6.17698 | + | 6.17698i | 0.336482 | + | 0.336482i | 0.855041 | − | 0.518560i | ||
−0.518560 | + | 0.855041i | ||||||||
4.78698i | 0.260378i | |||||||||
9.88305 | 0.536774 | |||||||||
−8.78239 | + | 12.3539i | −0.476292 | + | 0.669984i | |||||
−1.04880 | −0.0567956 | |||||||||
2.37359i | 0.128349i | |||||||||
0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | |||||
−23.4154 | −1.26247 | |||||||||
1.00418 | + | 1.00418i | 0.0540632 | + | 0.0540632i | |||||
−5.22221 | + | 5.22221i | −0.280748 | + | 0.280748i | |||||
−5.65098 | + | 5.65098i | −0.303360 | + | 0.303360i | −0.842327 | − | 0.538967i | ||
0.538967 | + | 0.842327i | ||||||||
8.99355i | 0.482105i | |||||||||
− | 20.2193i | − | 1.08232i | −0.840921 | − | 0.541158i | ||||
0.840921 | − | 0.541158i | ||||||||
0.250670 | − | 0.250670i | 0.0133989 | − | 0.0133989i | |||||
3.18095 | − | 3.18095i | 0.169786 | − | 0.169786i | |||||
21.3452 | + | 21.3452i | 1.13770 | + | 1.13770i | |||||
0.363744 | 0.0193601 | 0.00968007 | − | 0.999953i | ||||||
0.00968007 | + | 0.999953i | ||||||||
−0.899509 | − | 0.899509i | −0.0478084 | − | 0.0478084i | |||||
3.63337i | 0.192839i | |||||||||
−19.2243 | −1.01888 | |||||||||
−0.686963 | − | 4.06547i | −0.0363579 | − | 0.215168i | |||||
1.58470 | 0.0837539 | |||||||||
− | 26.3254i | − | 1.38940i | −0.719299 | − | 0.694701i | ||||
0.719299 | − | 0.694701i | ||||||||
3.92050 | + | 3.92050i | 0.206628 | + | 0.206628i | |||||
6.12380 | 0.322305 | |||||||||
−9.18537 | − | 9.18537i | −0.482772 | − | 0.482772i | |||||
−11.7178 | + | 11.7178i | −0.615022 | + | 0.615022i | |||||
−4.97008 | + | 4.97008i | −0.260503 | + | 0.260503i | |||||
23.2697i | 1.21799i | |||||||||
6.97469i | 0.364573i | |||||||||
−6.99722 | + | 6.99722i | −0.365252 | + | 0.365252i | −0.865742 | − | 0.500490i | ||
0.500490 | + | 0.865742i | ||||||||
0.668429 | − | 0.668429i | 0.0348443 | − | 0.0348443i | |||||
−4.30993 | − | 4.30993i | −0.224366 | − | 0.224366i | |||||
11.9169 | 0.619530 | |||||||||
−6.70319 | − | 6.70319i | −0.348012 | − | 0.348012i | |||||
0.312083i | 0.0161807i | |||||||||
12.9157 | 0.668751 | 0.334376 | − | 0.942440i | ||||||
0.334376 | + | 0.942440i | ||||||||
8.29758 | − | 11.6719i | 0.429058 | − | 0.603541i | |||||
10.5033 | 0.542389 | |||||||||
14.5193i | 0.748778i | |||||||||
−18.3097 | − | 18.3097i | −0.942996 | − | 0.942996i | |||||
−0.661473 | −0.0340225 | |||||||||
11.2530 | + | 11.2530i | 0.578026 | + | 0.578026i | 0.934359 | − | 0.356333i | ||
−0.356333 | + | 0.934359i | ||||||||
−9.32784 | + | 9.32784i | −0.478508 | + | 0.478508i | |||||
−10.4788 | + | 10.4788i | −0.536846 | + | 0.536846i | |||||
3.45755i | 0.176904i | |||||||||
19.1824i | 0.980176i | 0.871673 | + | 0.490088i | ||||||
−0.871673 | + | 0.490088i | ||||||||
7.81662 | − | 7.81662i | 0.398890 | − | 0.398890i | |||||
8.73594 | − | 8.73594i | 0.445225 | − | 0.445225i | |||||
−10.1484 | − | 10.1484i | −0.516538 | − | 0.516538i | |||||
−9.93667 | −0.505109 | |||||||||
9.12417 | + | 9.12417i | 0.463209 | + | 0.463209i | |||||
− | 24.5986i | − | 1.24720i | −0.781745 | − | 0.623598i | ||||
0.781745 | − | 0.623598i | ||||||||
−7.00130 | −0.354524 | |||||||||
−2.02830 | − | 1.44192i | −0.102576 | − | 0.0729211i | |||||
2.35647 | 0.119019 | |||||||||
− | 9.13853i | − | 0.460978i | |||||||
3.13203 | + | 3.13203i | 0.157789 | + | 0.157789i | |||||
−24.6369 | −1.23962 | |||||||||
5.80125 | + | 5.80125i | 0.291524 | + | 0.291524i | |||||
−15.7916 | + | 15.7916i | −0.792560 | + | 0.792560i | −0.981910 | − | 0.189350i | ||
0.189350 | + | 0.981910i | ||||||||
3.14157 | − | 3.14157i | 0.157473 | − | 0.157473i | |||||
− | 3.58834i | − | 0.179642i | |||||||
0.839353i | 0.0419676i | |||||||||
−18.2732 | + | 18.2732i | −0.912518 | + | 0.912518i | −0.996470 | − | 0.0839522i | ||
0.0839522 | + | 0.996470i | ||||||||
−3.49517 | + | 3.49517i | −0.174323 | + | 0.174323i | |||||
−0.635358 | − | 0.635358i | −0.0316495 | − | 0.0316495i | |||||
19.3139 | 0.960902 | |||||||||
1.66372 | + | 1.66372i | 0.0826709 | + | 0.0826709i | |||||
3.80746i | 0.188961i | |||||||||
40.2055 | 1.99291 | |||||||||
−7.91886 | − | 5.62952i | −0.392042 | − | 0.278703i | |||||
15.7611 | 0.779339 | 0.389669 | − | 0.920955i | ||||||
0.389669 | + | 0.920955i | ||||||||
9.48620i | 0.468490i | |||||||||
5.32816 | + | 5.32816i | 0.262819 | + | 0.262819i | |||||
5.43962 | 0.267991 | |||||||||
1.35986 | + | 1.35986i | 0.0669143 | + | 0.0669143i | |||||
−0.282311 | + | 0.282311i | −0.0138748 | + | 0.0138748i | |||||
13.4644 | − | 13.4644i | 0.660941 | − | 0.660941i | |||||
25.8617i | 1.26797i | |||||||||
0.515904i | 0.0252640i | |||||||||
8.81293 | − | 8.81293i | 0.431054 | − | 0.431054i | |||||
9.48958 | − | 9.48958i | 0.463597 | − | 0.463597i | −0.436236 | − | 0.899832i | ||
0.899832 | + | 0.436236i | ||||||||
−2.59949 | − | 2.59949i | −0.126842 | − | 0.126842i | |||||
−10.2759 | −0.500818 | −0.250409 | − | 0.968140i | ||||||
−0.250409 | + | 0.968140i | ||||||||
−6.16158 | − | 6.16158i | −0.299941 | − | 0.299941i | |||||
6.16149i | 0.299582i | |||||||||
−22.3387 | −1.08486 | |||||||||
2.17880 | − | 0.368162i | 0.105687 | − | 0.0178585i | |||||
−1.02147 | −0.0494904 | |||||||||
− | 10.5442i | − | 0.510269i | |||||||
−5.13383 | − | 5.13383i | −0.248153 | − | 0.248153i | |||||
−23.6211 | −1.14044 | |||||||||
10.9353 | + | 10.9353i | 0.527349 | + | 0.527349i | |||||
20.3715 | − | 20.3715i | 0.981261 | − | 0.981261i | −0.0185668 | − | 0.999828i | ||
0.999828 | + | 0.0185668i | ||||||||
1.10745 | − | 1.10745i | 0.0532822 | − | 0.0532822i | |||||
− | 25.4783i | − | 1.22441i | −0.790699 | − | 0.612205i | ||||
0.790699 | − | 0.612205i | ||||||||
0.132122i | 0.00634204i | |||||||||
9.57644 | − | 9.57644i | 0.459155 | − | 0.459155i | |||||
15.3934 | − | 15.3934i | 0.737212 | − | 0.737212i | |||||
−1.53148 | − | 1.53148i | −0.0732604 | − | 0.0732604i | |||||
−6.54197 | −0.312587 | |||||||||
−23.9545 | − | 23.9545i | −1.14329 | − | 1.14329i | −0.987845 | − | 0.155441i | ||
−0.155441 | − | 0.987845i | ||||||||
− | 29.1129i | − | 1.38790i | |||||||
1.00000 | 0.0476190 | |||||||||
12.0975 | − | 2.04417i | 0.575418 | − | 0.0972312i | |||||
−10.6561 | −0.506289 | −0.253144 | − | 0.967429i | ||||||
−0.253144 | + | 0.967429i | ||||||||
− | 11.9637i | − | 0.567770i | |||||||
20.4702 | + | 20.4702i | 0.970382 | + | 0.970382i | |||||
7.98722 | 0.378206 | |||||||||
−1.59062 | − | 1.59062i | −0.0752338 | − | 0.0752338i | |||||
0.474048 | − | 0.474048i | 0.0223966 | − | 0.0223966i | |||||
29.1315 | − | 29.1315i | 1.37480 | − | 1.37480i | 0.521622 | − | 0.853176i | ||
0.853176 | − | 0.521622i | ||||||||
− | 0.354501i | − | 0.0167113i | |||||||
32.0048i | 1.50705i | |||||||||
−10.9190 | + | 10.9190i | −0.513587 | + | 0.513587i | |||||
7.14490 | − | 7.14490i | 0.335697 | − | 0.335697i | |||||
4.65961 | + | 4.65961i | 0.218686 | + | 0.218686i | |||||
10.5844 | 0.496205 | |||||||||
−5.97916 | − | 5.97916i | −0.280000 | − | 0.280000i | |||||
− | 42.1677i | − | 1.97252i | −0.165202 | − | 0.986260i | ||||
0.165202 | − | 0.986260i | ||||||||
−0.225909 | −0.0105560 | |||||||||
−3.36048 | − | 2.38897i | −0.156854 | − | 0.111507i | |||||
−2.21888 | −0.103456 | |||||||||
− | 8.08845i | − | 0.376717i | −0.982100 | − | 0.188358i | ||||
0.982100 | − | 0.188358i | ||||||||
2.45599 | + | 2.45599i | 0.114263 | + | 0.114263i | |||||
31.1333 | 1.44688 | 0.723442 | − | 0.690385i | ||||||
0.723442 | + | 0.690385i | ||||||||
−6.37453 | − | 6.37453i | −0.295930 | − | 0.295930i | |||||
0.332309 | − | 0.332309i | 0.0154105 | − | 0.0154105i | |||||
−7.43510 | + | 7.43510i | −0.344424 | + | 0.344424i | |||||
7.39951i | 0.342408i | 0.985236 | + | 0.171204i | ||||||
−0.985236 | + | 0.171204i | ||||||||
7.02876i | 0.324905i | |||||||||
5.28392 | − | 5.28392i | 0.243989 | − | 0.243989i | |||||
6.78075 | − | 6.78075i | 0.312773 | − | 0.312773i | |||||
16.7332 | + | 16.7332i | 0.771026 | + | 0.771026i | |||||
4.53179 | 0.208593 | |||||||||
36.8939 | + | 36.8939i | 1.69639 | + | 1.69639i | |||||
− | 6.92631i | − | 0.318136i | |||||||
1.92309 | 0.0882374 | |||||||||
5.25060 | + | 3.73265i | 0.240661 | + | 0.171086i | |||||
−9.47974 | −0.434047 | |||||||||
− | 0.768173i | − | 0.0351354i | |||||||
19.1726 | + | 19.1726i | 0.876019 | + | 0.876019i | 0.993120 | − | 0.117101i | ||
−0.117101 | + | 0.993120i | ||||||||
−13.5264 | −0.617391 | |||||||||
24.3564 | + | 24.3564i | 1.11056 | + | 1.11056i | |||||
−4.26825 | + | 4.26825i | −0.194414 | + | 0.194414i | |||||
0.426792 | − | 0.426792i | 0.0194197 | − | 0.0194197i | |||||
− | 25.8921i | − | 1.17691i | |||||||
− | 19.4310i | − | 0.882318i | |||||||
−0.467732 | + | 0.467732i | −0.0212167 | + | 0.0212167i | |||||
22.2738 | − | 22.2738i | 1.00932 | − | 1.00932i | 0.00936691 | − | 0.999956i | ||
0.999956 | − | 0.00936691i | ||||||||
−17.5695 | − | 17.5695i | −0.795334 | − | 0.795334i | |||||
−23.9501 | −1.08306 | |||||||||
−1.10050 | − | 1.10050i | −0.0497157 | − | 0.0497157i | |||||
3.17369i | 0.143227i | 0.997432 | + | 0.0716133i | ||||||
−0.997432 | + | 0.0716133i | ||||||||
9.52342 | 0.429349 | |||||||||
−13.7510 | + | 19.3431i | −0.619314 | + | 0.871168i | |||||
10.6777 | 0.480412 | |||||||||
− | 12.3545i | − | 0.555293i | |||||||
−0.221201 | − | 0.221201i | −0.00993220 | − | 0.00993220i | |||||
1.54424 | 0.0692686 | |||||||||
3.78532 | + | 3.78532i | 0.169624 | + | 0.169624i | |||||
−7.08666 | + | 7.08666i | −0.317242 | + | 0.317242i | −0.847707 | − | 0.530465i | ||
0.530465 | + | 0.847707i | ||||||||
−11.6043 | + | 11.6043i | −0.518960 | + | 0.518960i | |||||
− | 25.1742i | − | 1.12470i | |||||||
− | 1.33924i | − | 0.0597734i | |||||||
−23.0866 | + | 23.0866i | −1.02938 | + | 1.02938i | −0.0298242 | + | 0.999555i | ||
−0.999555 | + | 0.0298242i | ||||||||
1.66627 | − | 1.66627i | 0.0742217 | − | 0.0742217i | |||||
−20.5657 | − | 20.5657i | −0.915160 | − | 0.915160i | |||||
2.09639 | 0.0931960 | |||||||||
−5.11723 | − | 5.11723i | −0.227264 | − | 0.227264i | |||||
− | 23.1544i | − | 1.02731i | |||||||
−6.78115 | −0.300569 | −0.150285 | − | 0.988643i | ||||||
−0.150285 | + | 0.988643i | ||||||||
1.06915 | + | 6.32730i | 0.0473430 | + | 0.280177i | |||||
9.89000 | 0.437508 | |||||||||
16.3850i | 0.724123i | |||||||||
−2.53734 | − | 2.53734i | −0.112026 | − | 0.112026i | |||||
−12.9487 | −0.571142 | |||||||||
−5.79217 | − | 5.79217i | −0.255234 | − | 0.255234i | |||||
10.9782 | − | 10.9782i | 0.483290 | − | 0.483290i | |||||
22.8771 | − | 22.8771i | 1.00613 | − | 1.00613i | |||||
− | 5.06487i | − | 0.222538i | |||||||
− | 11.1650i | − | 0.490088i | |||||||
17.6365 | − | 17.6365i | 0.773412 | − | 0.773412i | |||||
9.60414 | − | 9.60414i | 0.420765 | − | 0.420765i | −0.464702 | − | 0.885467i | ||
0.885467 | + | 0.464702i | ||||||||
2.69228 | + | 2.69228i | 0.117838 | + | 0.117838i | |||||
−43.7951 | −1.91502 | −0.957512 | − | 0.288392i | ||||||
−0.957512 | + | 0.288392i | ||||||||
10.0965 | + | 10.0965i | 0.441065 | + | 0.441065i | |||||
0.535927i | 0.0233898i | |||||||||
15.5020 | 0.675919 | |||||||||
−0.477169 | + | 0.671218i | −0.0207858 | + | 0.0292387i | |||||
−8.22373 | −0.357892 | |||||||||
22.6357i | 0.984161i | |||||||||
10.4325 | + | 10.4325i | 0.453159 | + | 0.453159i | |||||
1.92313 | 0.0834568 | |||||||||
3.96448 | + | 3.96448i | 0.171882 | + | 0.171882i | |||||
−19.3884 | + | 19.3884i | −0.839805 | + | 0.839805i | |||||
−5.75492 | + | 5.75492i | −0.249040 | + | 0.249040i | |||||
10.9331i | 0.472681i | |||||||||
− | 17.6089i | − | 0.760589i | |||||||
−1.69403 | + | 1.69403i | −0.0731026 | + | 0.0731026i | |||||
−3.74360 | + | 3.74360i | −0.161398 | + | 0.161398i | |||||
−3.71291 | − | 3.71291i | −0.159926 | − | 0.159926i | |||||
−3.67623 | −0.158200 | |||||||||
−1.33085 | − | 1.33085i | −0.0572177 | − | 0.0572177i | 0.677919 | − | 0.735137i | ||
−0.735137 | + | 0.677919i | ||||||||
16.2714i | 0.698915i | |||||||||
19.6381 | 0.842752 | |||||||||
23.3720 | − | 3.94929i | 1.00207 | − | 0.169324i | |||||
−32.7822 | −1.40424 | |||||||||
2.97566i | 0.127347i | |||||||||
−12.7406 | − | 12.7406i | −0.544751 | − | 0.544751i | 0.380167 | − | 0.924918i | ||
−0.924918 | + | 0.380167i | ||||||||
−11.7733 | −0.502932 | |||||||||
−7.45587 | − | 7.45587i | −0.318209 | − | 0.318209i | |||||
−1.31623 | + | 1.31623i | −0.0561242 | + | 0.0561242i | |||||
−14.6050 | + | 14.6050i | −0.622196 | + | 0.622196i | |||||
− | 1.42230i | − | 0.0605373i | |||||||
10.4711i | 0.445275i | |||||||||
12.5187 | − | 12.5187i | 0.531869 | − | 0.531869i | |||||
−12.7390 | + | 12.7390i | −0.540742 | + | 0.540742i | |||||
−0.569983 | − | 0.569983i | −0.0241726 | − | 0.0241726i | |||||
−19.5144 | −0.826851 | −0.413426 | − | 0.910538i | ||||||
−0.413426 | + | 0.910538i | ||||||||
0.0934241 | + | 0.0934241i | 0.00395496 | + | 0.00395496i | |||||
44.7005i | 1.89063i | |||||||||
3.68497 | 0.155719 | |||||||||
3.60714 | + | 21.3472i | 0.152294 | + | 0.901279i | |||||
−16.0723 | −0.677970 | |||||||||
32.4814i | 1.36893i | 0.729046 | + | 0.684465i | ||||||
−0.729046 | + | 0.684465i | ||||||||
−6.80735 | − | 6.80735i | −0.286641 | − | 0.286641i | |||||
23.2534 | 0.978278 | |||||||||
−4.28759 | − | 4.28759i | −0.180221 | − | 0.180221i | |||||
0.707107 | − | 0.707107i | 0.0296957 | − | 0.0296957i | |||||
2.57312 | − | 2.57312i | 0.107966 | − | 0.107966i | |||||
− | 32.6889i | − | 1.37039i | −0.728361 | − | 0.685194i | ||||
0.728361 | − | 0.685194i | ||||||||
5.58471i | 0.233918i | |||||||||
13.8918 | − | 13.8918i | 0.581353 | − | 0.581353i | −0.353922 | − | 0.935275i | ||
0.935275 | + | 0.353922i | ||||||||
26.0972 | − | 26.0972i | 1.09118 | − | 1.09118i | |||||
−3.69608 | − | 3.69608i | −0.154406 | − | 0.154406i | |||||
4.03178 | 0.168283 | |||||||||
0.228729 | + | 0.228729i | 0.00953867 | + | 0.00953867i | |||||
− | 0.670404i | − | 0.0279335i | |||||||
−22.6080 | −0.941182 | −0.470591 | − | 0.882351i | ||||||
−0.470591 | + | 0.882351i | ||||||||
−3.69476 | − | 10.6207i | −0.153682 | − | 0.441763i | |||||
21.6970 | 0.901696 | |||||||||
21.1605i | 0.878643i | |||||||||
−5.72257 | − | 5.72257i | −0.237412 | − | 0.237412i | |||||
5.46277 | 0.226439 | |||||||||
35.1974 | + | 35.1974i | 1.45773 | + | 1.45773i | |||||
16.4794 | − | 16.4794i | 0.681924 | − | 0.681924i | |||||
7.48431 | − | 7.48431i | 0.309438 | − | 0.309438i | |||||
1.45324i | 0.0600330i | |||||||||
1.89079i | 0.0780414i | 0.999238 | + | 0.0390207i | ||||||
−0.999238 | + | 0.0390207i | ||||||||
−1.10482 | + | 1.10482i | −0.0455621 | + | 0.0455621i | |||||
−0.506805 | + | 0.506805i | −0.0208825 | + | 0.0208825i | |||||
−2.11642 | − | 2.11642i | −0.0871314 | − | 0.0871314i | |||||
−6.69620 | −0.275445 | |||||||||
8.47970 | + | 8.47970i | 0.348514 | + | 0.348514i | |||||
− | 33.0067i | − | 1.35542i | −0.735329 | − | 0.677711i | ||||
0.735329 | − | 0.677711i | ||||||||
3.47329 | 0.142511 | |||||||||
−1.61632 | − | 9.56547i | −0.0662629 | − | 0.392146i | |||||
3.51470 | 0.143968 | |||||||||
6.71661i | 0.274892i | |||||||||
1.26999 | + | 1.26999i | 0.0519337 | + | 0.0519337i | |||||
−12.9658 | −0.529767 | −0.264884 | − | 0.964280i | ||||||
−0.264884 | + | 0.964280i | ||||||||
0.893000 | + | 0.893000i | 0.0364566 | + | 0.0364566i | |||||
24.5515 | − | 24.5515i | 1.00148 | − | 1.00148i | 0.00147859 | − | 0.999999i | ||
0.999999 | − | 0.00147859i | ||||||||
4.64769 | − | 4.64769i | 0.189426 | − | 0.189426i | |||||
− | 7.47259i | − | 0.304307i | |||||||
15.7877i | 0.642392i | |||||||||
−27.5702 | + | 27.5702i | −1.12089 | + | 1.12089i | |||||
5.78175 | − | 5.78175i | 0.234868 | − | 0.234868i | |||||
14.3918 | + | 14.3918i | 0.584143 | + | 0.584143i | 0.936039 | − | 0.351896i | ||
−0.351896 | + | 0.936039i | ||||||||
20.6291 | 0.836619 | |||||||||
−4.07014 | − | 4.07014i | −0.164930 | − | 0.164930i | |||||
16.4104i | 0.664439i | |||||||||
27.7177 | 1.12134 | |||||||||
6.35212 | − | 1.07335i | 0.256769 | − | 0.0433875i | |||||
34.0233 | 1.37419 | 0.687095 | − | 0.726568i | ||||||
0.687095 | + | 0.726568i | ||||||||
13.9496i | 0.562960i | |||||||||
−10.1406 | − | 10.1406i | −0.408910 | − | 0.408910i | |||||
−12.3734 | −0.498540 | |||||||||
−20.8759 | − | 20.8759i | −0.840433 | − | 0.840433i | 0.148482 | − | 0.988915i | ||
−0.988915 | + | 0.148482i | ||||||||
1.62839 | − | 1.62839i | 0.0655034 | − | 0.0655034i | |||||
4.38648 | − | 4.38648i | 0.176308 | − | 0.176308i | −0.613436 | − | 0.789744i | ||
0.789744 | + | 0.613436i | ||||||||
0.734285i | 0.0294896i | |||||||||
− | 0.603575i | − | 0.0242206i | |||||||
5.27541 | − | 5.27541i | 0.211525 | − | 0.211525i | |||||
8.70017 | − | 8.70017i | 0.348565 | − | 0.348565i | |||||
−4.98191 | − | 4.98191i | −0.199436 | − | 0.199436i | |||||
27.3924 | 1.09570 | |||||||||
−9.32128 | − | 9.32128i | −0.372553 | − | 0.372553i | |||||
18.8418i | 0.752471i | |||||||||
−36.9744 | −1.47544 | |||||||||
18.2922 | − | 25.7311i | 0.729359 | − | 1.02597i | |||||
−1.55635 | −0.0620064 | |||||||||
− | 5.22637i | − | 0.208059i | −0.994574 | − | 0.104029i | ||||
0.994574 | − | 0.104029i | ||||||||
17.4476 | + | 17.4476i | 0.694030 | + | 0.694030i | |||||
13.1733 | 0.523592 | |||||||||
−14.2710 | − | 14.2710i | −0.566774 | − | 0.566774i | |||||
−24.6551 | + | 24.6551i | −0.978408 | + | 0.978408i | |||||
10.4734 | − | 10.4734i | 0.415298 | − | 0.415298i | |||||
− | 4.49854i | − | 0.178239i | |||||||
− | 19.9924i | − | 0.791507i | |||||||
1.09194 | − | 1.09194i | 0.0431965 | − | 0.0431965i | |||||
18.3914 | − | 18.3914i | 0.726983 | − | 0.726983i | |||||
−16.2540 | − | 16.2540i | −0.641994 | − | 0.641994i | 0.309051 | − | 0.951045i | ||
−0.951045 | + | 0.309051i | ||||||||
−3.07370 | −0.121309 | |||||||||
−2.55336 | − | 2.55336i | −0.100695 | − | 0.100695i | 0.654965 | − | 0.755659i | ||
−0.755659 | + | 0.654965i | ||||||||
0.943058i | 0.0371617i | |||||||||
−23.3795 | −0.920568 | |||||||||
−1.63057 | − | 9.64977i | −0.0641539 | − | 0.379665i | |||||
7.56712 | 0.297494 | 0.148747 | − | 0.988875i | ||||||
0.148747 | + | 0.988875i | ||||||||
− | 2.35647i | − | 0.0925707i | |||||||
−7.14041 | − | 7.14041i | −0.280286 | − | 0.280286i | |||||
−1.59474 | −0.0625507 | |||||||||
−0.141237 | − | 0.141237i | −0.00553550 | − | 0.00553550i | |||||
26.4606 | − | 26.4606i | 1.03628 | − | 1.03628i | |||||
−11.7538 | + | 11.7538i | −0.459964 | + | 0.459964i | −0.898643 | − | 0.438680i | ||
0.438680 | + | 0.898643i | ||||||||
− | 9.21627i | − | 0.360384i | |||||||
− | 21.5016i | − | 0.840139i | |||||||
−6.75009 | + | 6.75009i | −0.263547 | + | 0.263547i | |||||
6.99329 | − | 6.99329i | 0.272834 | − | 0.272834i | |||||
−2.88192 | − | 2.88192i | −0.112349 | − | 0.112349i | |||||
−20.8412 | −0.811859 | −0.405929 | − | 0.913904i | ||||||
−0.405929 | + | 0.913904i | ||||||||
13.6495 | + | 13.6495i | 0.531306 | + | 0.531306i | |||||
8.01914i | 0.311908i | 0.987764 | + | 0.155954i | ||||||
−0.987764 | + | 0.155954i | ||||||||
−16.4044 | −0.637574 | |||||||||
−10.7469 | + | 15.1173i | −0.417374 | + | 0.587106i | |||||
−19.0707 | −0.740088 | |||||||||
− | 8.44285i | − | 0.327400i | |||||||
−3.58140 | − | 3.58140i | −0.138777 | − | 0.138777i | |||||
−3.47420 | −0.134522 | |||||||||
27.8130 | + | 27.8130i | 1.07612 | + | 1.07612i | |||||
−8.53825 | + | 8.53825i | −0.330108 | + | 0.330108i | |||||
−8.22362 | + | 8.22362i | −0.317706 | + | 0.317706i | |||||
55.3659i | 2.13738i | |||||||||
5.74891i | 0.221769i | |||||||||
−2.05382 | + | 2.05382i | −0.0791688 | + | 0.0791688i | −0.745582 | − | 0.666414i | ||
0.666414 | + | 0.745582i | ||||||||
−4.08590 | + | 4.08590i | −0.157383 | + | 0.157383i | |||||
0.378957 | + | 0.378957i | 0.0145861 | + | 0.0145861i | |||||
11.3073 | 0.434894 | |||||||||
−10.6917 | − | 10.6917i | −0.410917 | − | 0.410917i | 0.471141 | − | 0.882058i | ||
−0.882058 | + | 0.471141i | ||||||||
6.53737i | 0.251066i | |||||||||
−8.25850 | −0.316932 | |||||||||
−18.6319 | − | 13.2454i | −0.714502 | − | 0.507940i | |||||
−9.96214 | −0.381750 | |||||||||
− | 0.693751i | − | 0.0265651i | |||||||
−14.5366 | − | 14.5366i | −0.556228 | − | 0.556228i | 0.372003 | − | 0.928231i | ||
−0.928231 | + | 0.372003i | ||||||||
5.60662 | 0.214374 | |||||||||
12.5364 | + | 12.5364i | 0.478991 | + | 0.478991i | |||||
−0.467732 | + | 0.467732i | −0.0178581 | + | 0.0178581i | |||||
0.241494 | − | 0.241494i | 0.00921357 | − | 0.00921357i | |||||
15.5625i | 0.593315i | |||||||||
42.6450i | 1.62464i | |||||||||
−0.664237 | + | 0.664237i | −0.0252871 | + | 0.0252871i | |||||
−10.5531 | + | 10.5531i | −0.401458 | + | 0.401458i | −0.878747 | − | 0.477288i | ||
0.477288 | + | 0.878747i | ||||||||
12.3353 | + | 12.3353i | 0.468918 | + | 0.468918i | |||||
−5.25085 | −0.199463 | |||||||||
−3.73797 | − | 3.73797i | −0.141891 | − | 0.141891i | |||||
1.21385i | 0.0460439i | |||||||||
−13.5639 | −0.514139 | |||||||||
20.4827 | + | 14.5612i | 0.775837 | + | 0.551543i | |||||
13.3745 | 0.506234 | |||||||||
− | 15.8961i | − | 0.601245i | |||||||
−0.592104 | − | 0.592104i | −0.0223794 | − | 0.0223794i | |||||
42.2529 | 1.59587 | 0.797936 | − | 0.602743i | ||||||
0.797936 | + | 0.602743i | ||||||||
2.10411 | + | 2.10411i | 0.0794145 | + | 0.0794145i | |||||
19.4283 | − | 19.4283i | 0.732753 | − | 0.732753i | |||||
−2.48915 | + | 2.48915i | −0.0938134 | + | 0.0938134i | |||||
14.4971i | 0.545992i | |||||||||
0.240607i | 0.00905535i | |||||||||
−8.74073 | + | 8.74073i | −0.328729 | + | 0.328729i | |||||
−2.12472 | + | 2.12472i | −0.0798518 | + | 0.0798518i | |||||
29.5551 | + | 29.5551i | 1.10997 | + | 1.10997i | 0.993154 | + | 0.116813i | ||
0.116813 | + | 0.993154i | ||||||||
−2.40337 | −0.0901970 | |||||||||
7.40415 | + | 7.40415i | 0.277677 | + | 0.277677i | |||||
− | 28.9937i | − | 1.08658i | |||||||
−0.120557 | −0.00451491 | |||||||||
2.68920 | − | 0.454407i | 0.100641 | − | 0.0170058i | |||||
−55.5771 | −2.07847 | |||||||||
− | 3.74319i | − | 0.139890i | |||||||
0.821168 | + | 0.821168i | 0.0306671 | + | 0.0306671i | |||||
17.4135 | 0.649867 | |||||||||
−18.4733 | − | 18.4733i | −0.688936 | − | 0.688936i | 0.273060 | − | 0.961997i | ||
−0.961997 | + | 0.273060i | ||||||||
2.60567 | − | 2.60567i | 0.0971076 | − | 0.0971076i | |||||
−2.46176 | + | 2.46176i | −0.0916809 | + | 0.0916809i | |||||
4.05073i | 0.150752i | |||||||||
− | 9.12543i | − | 0.339379i | |||||||
−21.6966 | + | 21.6966i | −0.806348 | + | 0.806348i | |||||
2.18130 | − | 2.18130i | 0.0810113 | − | 0.0810113i | |||||
−7.75097 | − | 7.75097i | −0.287666 | − | 0.287666i | |||||
−18.5323 | −0.687325 | −0.343663 | − | 0.939093i | ||||||
−0.343663 | + | 0.939093i | ||||||||
−7.49579 | − | 7.49579i | −0.277813 | − | 0.277813i | |||||
− | 1.00000i | − | 0.0370370i | |||||||
−15.3923 | −0.569695 | |||||||||
40.3973 | − | 6.82612i | 1.49415 | − | 0.252473i | |||||
16.4748 | 0.608927 | |||||||||
42.9060i | 1.58477i | 0.610021 | + | 0.792385i | ||||||
−0.610021 | + | 0.792385i | ||||||||
−4.62847 | − | 4.62847i | −0.170840 | − | 0.170840i | |||||
2.35286 | 0.0867864 | |||||||||
2.45359 | + | 2.45359i | 0.0904405 | + | 0.0904405i | |||||
−27.7451 | + | 27.7451i | −1.02200 | + | 1.02200i | |||||
2.85090 | − | 2.85090i | 0.104943 | − | 0.104943i | |||||
19.1622i | 0.704893i | 0.935832 | + | 0.352446i | ||||||
−0.935832 | + | 0.352446i | ||||||||
− | 28.1487i | − | 1.03477i | |||||||
−11.4143 | + | 11.4143i | −0.419316 | + | 0.419316i | |||||
4.43397 | − | 4.43397i | 0.162776 | − | 0.162776i | |||||
−20.2472 | − | 20.2472i | −0.742797 | − | 0.742797i | 0.230319 | − | 0.973115i | ||
−0.973115 | + | 0.230319i | ||||||||
−0.470677 | −0.0172559 | |||||||||
−3.74250 | − | 3.74250i | −0.137115 | − | 0.137115i | |||||
8.54340i | 0.312796i | |||||||||
−8.09294 | −0.296105 | |||||||||
−27.5701 | − | 19.5996i | −1.00806 | − | 0.716632i | |||||
4.64675 | 0.169789 | |||||||||
6.94766i | 0.253693i | |||||||||
−6.54293 | − | 6.54293i | −0.238755 | − | 0.238755i | 0.577580 | − | 0.816334i | ||
−0.816334 | + | 0.577580i | ||||||||
9.64994 | 0.351897 | |||||||||
1.43164 | + | 1.43164i | 0.0521717 | + | 0.0521717i | |||||
12.1113 | − | 12.1113i | 0.441069 | − | 0.441069i | |||||
16.8109 | − | 16.8109i | 0.611812 | − | 0.611812i | |||||
1.56245i | 0.0568259i | |||||||||
30.7343i | 1.11706i | 0.829485 | + | 0.558529i | ||||||
−0.829485 | + | 0.558529i | ||||||||
−7.44352 | + | 7.44352i | −0.270361 | + | 0.270361i | |||||
−2.24102 | + | 2.24102i | −0.0813439 | + | 0.0813439i | |||||
−14.0681 | − | 14.0681i | −0.510303 | − | 0.510303i | |||||
2.54666 | 0.0923164 | 0.0461582 | − | 0.998934i | ||||||
0.0461582 | + | 0.998934i | ||||||||
−6.93144 | − | 6.93144i | −0.251100 | − | 0.251100i | |||||
13.9330i | 0.504407i | |||||||||
8.16703 | 0.295473 | |||||||||
−7.90672 | − | 5.62090i | −0.285868 | − | 0.203224i | |||||
−12.6886 | −0.458459 | |||||||||
− | 8.65128i | − | 0.312380i | |||||||
6.11857 | + | 6.11857i | 0.220785 | + | 0.220785i | |||||
8.31448 | 0.299828 | 0.149914 | − | 0.988699i | ||||||
0.149914 | + | 0.988699i | ||||||||
5.77858 | + | 5.77858i | 0.208246 | + | 0.208246i | |||||
13.8420 | − | 13.8420i | 0.498508 | − | 0.498508i | |||||
−23.9713 | + | 23.9713i | −0.862746 | + | 0.862746i | |||||
− | 37.8279i | − | 1.36058i | −0.732945 | − | 0.680288i | ||||
0.732945 | − | 0.680288i | ||||||||
− | 6.57283i | − | 0.236256i | |||||||
0.0756925 | − | 0.0756925i | 0.00271895 | − | 0.00271895i | |||||
−13.7609 | + | 13.7609i | −0.493988 | + | 0.493988i | |||||
5.41429 | + | 5.41429i | 0.194237 | + | 0.194237i | |||||
16.2713 | 0.583353 | |||||||||
15.4655 | + | 15.4655i | 0.554110 | + | 0.554110i | |||||
16.5377i | 0.592143i | |||||||||
−8.10856 | −0.290147 | |||||||||
0.953792 | − | 1.34167i | 0.0341075 | − | 0.0479779i | |||||
−5.75604 | −0.205704 | |||||||||
− | 1.56617i | − | 0.0559347i | |||||||
39.3708 | + | 39.3708i | 1.40520 | + | 1.40520i | |||||
6.04489 | 0.215614 | |||||||||
−31.9408 | − | 31.9408i | −1.13857 | − | 1.13857i | −0.988707 | − | 0.149859i | ||
−0.149859 | − | 0.988707i | ||||||||
7.39811 | − | 7.39811i | 0.263547 | − | 0.263547i | |||||
−16.5715 | + | 16.5715i | −0.589959 | + | 0.589959i | |||||
− | 16.2966i | − | 0.579808i | |||||||
− | 9.88305i | − | 0.351401i | |||||||
−8.74934 | + | 8.74934i | −0.310894 | + | 0.310894i | |||||
−33.5405 | + | 33.5405i | −1.19106 | + | 1.19106i | |||||
−10.4457 | − | 10.4457i | −0.370705 | − | 0.370705i | |||||
−22.3044 | −0.791057 | |||||||||
−7.42066 | − | 7.42066i | −0.263018 | − | 0.263018i | |||||
6.59399i | 0.233571i | 0.993157 | + | 0.116786i | ||||||
−0.993157 | + | 0.116786i | ||||||||
2.37359 | 0.0840242 | |||||||||
−4.23272 | − | 25.0494i | −0.149743 | − | 0.886183i | |||||
−3.08099 | −0.108930 | |||||||||
− | 12.3039i | − | 0.434737i | |||||||
−12.0872 | − | 12.0872i | −0.426813 | − | 0.426813i | |||||
−51.9309 | −1.83260 | |||||||||
8.25588 | + | 8.25588i | 0.291163 | + | 0.291163i | |||||
1.00418 | − | 1.00418i | 0.0353927 | − | 0.0353927i | |||||
0.420272 | − | 0.420272i | 0.0148035 | − | 0.0148035i | |||||
− | 8.00374i | − | 0.281745i | |||||||
29.1289i | 1.02475i | |||||||||
−28.8037 | + | 28.8037i | −1.01268 | + | 1.01268i | −0.0127642 | + | 0.999919i | ||
−0.999919 | + | 0.0127642i | ||||||||
−1.10050 | + | 1.10050i | −0.0386678 | + | 0.0386678i | |||||
12.4244 | + | 12.4244i | 0.436279 | + | 0.436279i | 0.890758 | − | 0.454479i | ||
−0.454479 | + | 0.890758i | ||||||||
8.99355 | 0.315612 | |||||||||
−17.3939 | − | 17.3939i | −0.610031 | − | 0.610031i | |||||
26.5949i | 0.932149i | |||||||||
−56.3512 | −1.97390 | |||||||||
−3.74153 | + | 5.26309i | −0.130980 | + | 0.184245i | |||||
35.6562 | 1.24745 | |||||||||
10.4256i | 0.364521i | |||||||||
−3.18095 | − | 3.18095i | −0.111151 | − | 0.111151i | |||||
22.4072 | 0.782494 | |||||||||
−2.39839 | − | 2.39839i | −0.0837045 | − | 0.0837045i | 0.664015 | − | 0.747719i | ||
−0.747719 | + | 0.664015i | ||||||||
−3.52443 | + | 3.52443i | −0.122929 | + | 0.122929i | |||||
−17.9237 | + | 17.9237i | −0.624781 | + | 0.624781i | −0.946750 | − | 0.321969i | ||
0.321969 | + | 0.946750i | ||||||||
8.20394i | 0.285798i | |||||||||
− | 2.81407i | − | 0.0979733i | |||||||
−0.899509 | + | 0.899509i | −0.0312979 | + | 0.0312979i | |||||
5.93889 | − | 5.93889i | 0.206516 | − | 0.206516i | −0.596269 | − | 0.802785i | ||
0.802785 | + | 0.596269i | ||||||||
0.666843 | + | 0.666843i | 0.0231744 | + | 0.0231744i | |||||
0.720245 | 0.0250151 | 0.0125076 | − | 0.999922i | ||||||
0.0125076 | + | 0.999922i | ||||||||
8.90632 | + | 8.90632i | 0.309143 | + | 0.309143i | |||||
26.7647i | 0.928458i | |||||||||
−3.01584 | −0.104555 | |||||||||
−4.06547 | + | 0.686963i | −0.140860 | + | 0.0238019i | |||||
−0.341257 | −0.0118168 | |||||||||
− | 59.2311i | − | 2.04978i | |||||||
−20.8169 | − | 20.8169i | −0.719967 | − | 0.719967i | |||||
−0.199739 | −0.00690398 | |||||||||
6.27710 | + | 6.27710i | 0.216839 | + | 0.216839i | |||||
−31.6356 | + | 31.6356i | −1.09218 | + | 1.09218i | −0.0968861 | + | 0.995295i | ||
−0.995295 | + | 0.0968861i | ||||||||
3.92050 | − | 3.92050i | 0.135270 | − | 0.135270i | |||||
4.13202i | 0.142484i | |||||||||
− | 6.79724i | − | 0.234248i | |||||||
17.1811 | − | 17.1811i | 0.591749 | − | 0.591749i | |||||
−14.5542 | + | 14.5542i | −0.500975 | + | 0.500975i | |||||
−12.0401 | − | 12.0401i | −0.414192 | − | 0.414192i | |||||
−4.07566 | −0.140124 | |||||||||
11.7178 | + | 11.7178i | 0.402627 | + | 0.402627i | |||||
14.8469i | 0.509844i | |||||||||
9.16677 | 0.314603 | |||||||||
0.243529 | + | 1.44121i | 0.00835298 | + | 0.0494332i | |||||
4.62155 | 0.158425 | |||||||||
2.41280i | 0.0826612i | |||||||||
4.85222 | + | 4.85222i | 0.166137 | + | 0.166137i | 0.785279 | − | 0.619142i | ||
−0.619142 | + | 0.785279i | ||||||||
6.97469 | 0.238669 | |||||||||
−5.97000 | − | 5.97000i | −0.204170 | − | 0.204170i | |||||
7.74276 | − | 7.74276i | 0.264642 | − | 0.264642i | |||||
14.6055 | − | 14.6055i | 0.498916 | − | 0.498916i | −0.412185 | − | 0.911100i | ||
0.911100 | + | 0.412185i | ||||||||
− | 15.6247i | − | 0.533420i | |||||||
5.76996i | 0.196868i | 0.995144 | + | 0.0984342i | ||||||
−0.995144 | + | 0.0984342i | ||||||||
25.8302 | − | 25.8302i | 0.880803 | − | 0.880803i | |||||
−4.30993 | + | 4.30993i | −0.146882 | + | 0.146882i | |||||
13.4752 | + | 13.4752i | 0.458967 | + | 0.458967i | |||||
45.6981 | 1.55558 | 0.777790 | − | 0.628524i | ||||||
0.777790 | + | 0.628524i | ||||||||
4.06509 | + | 4.06509i | 0.138297 | + | 0.138297i | |||||
− | 26.2696i | − | 0.893191i | |||||||
16.8532 | 0.572696 | |||||||||
15.3031 | + | 7.40376i | 0.519720 | + | 0.251445i | |||||
0.312083 | 0.0105928 | |||||||||
− | 54.9819i | − | 1.86513i | |||||||
6.33455 | + | 6.33455i | 0.214761 | + | 0.214761i | |||||
−33.6158 | −1.13903 | |||||||||
23.2161 | + | 23.2161i | 0.786196 | + | 0.786196i | |||||
−5.83964 | + | 5.83964i | −0.197642 | + | 0.197642i | |||||
1.01303 | − | 1.01303i | 0.0342662 | − | 0.0342662i | |||||
− | 10.5033i | − | 0.355077i | |||||||
15.4527i | 0.522098i | |||||||||
4.16940 | − | 4.16940i | 0.140791 | − | 0.140791i | −0.633199 | − | 0.773989i | ||
0.773989 | + | 0.633199i | ||||||||
15.8452 | − | 15.8452i | 0.534751 | − | 0.534751i | |||||
−1.55350 | − | 1.55350i | −0.0523983 | − | 0.0523983i | |||||
−19.3492 | −0.652263 | |||||||||
−20.0194 | − | 20.0194i | −0.674471 | − | 0.674471i | 0.284273 | − | 0.958744i | ||
−0.958744 | + | 0.284273i | ||||||||
0.661473i | 0.0222729i | |||||||||
−39.7453 | −1.33754 | −0.668768 | − | 0.743471i | ||||||
−0.668768 | + | 0.743471i | ||||||||
−4.82850 | − | 28.5752i | −0.162400 | − | 0.961090i | |||||
4.52485 | 0.152101 | |||||||||
− | 7.04875i | − | 0.236807i | |||||||
9.02914 | + | 9.02914i | 0.303169 | + | 0.303169i | 0.842252 | − | 0.539083i | ||
−0.539083 | + | 0.842252i | ||||||||
18.0434 | 0.605496 | |||||||||
10.4788 | + | 10.4788i | 0.351448 | + | 0.351448i | |||||
−13.5405 | + | 13.5405i | −0.453878 | + | 0.453878i | |||||
−3.71291 | + | 3.71291i | −0.124387 | + | 0.124387i | |||||
− | 18.8665i | − | 0.631697i | |||||||
− | 22.1095i | − | 0.739867i | |||||||
1.05215 | − | 1.05215i | 0.0351892 | − | 0.0351892i | |||||
−3.98580 | + | 3.98580i | −0.133230 | + | 0.133230i | |||||
−7.81662 | − | 7.81662i | −0.261135 | − | 0.261135i | |||||
−2.71521 | −0.0906581 | |||||||||
19.2697 | + | 19.2697i | 0.643037 | + | 0.643037i | |||||
1.14970i | 0.0383448i | |||||||||
−0.837361 | −0.0279120 | |||||||||
38.5396 | − | 6.51223i | 1.28394 | − | 0.216954i | |||||
−21.1703 | −0.704893 | |||||||||
9.93667i | 0.330672i | |||||||||
−16.4679 | − | 16.4679i | −0.547713 | − | 0.547713i | |||||
46.2056 | 1.53593 | |||||||||
4.72616 | + | 4.72616i | 0.157016 | + | 0.157016i | |||||
8.76923 | − | 8.76923i | 0.291177 | − | 0.291177i | −0.546368 | − | 0.837545i | ||
0.837545 | + | 0.546368i | ||||||||
11.0064 | − | 11.0064i | 0.365260 | − | 0.365260i | |||||
12.3613i | 0.409997i | |||||||||
7.00130i | 0.232091i | |||||||||
−4.06611 | + | 4.06611i | −0.134716 | + | 0.134716i | −0.771249 | − | 0.636533i | ||
0.636533 | + | 0.771249i | ||||||||
−3.97391 | + | 3.97391i | −0.131589 | + | 0.131589i | |||||
30.0484 | + | 30.0484i | 0.994455 | + | 0.994455i | |||||
27.8927 | 0.922610 | |||||||||
−17.5426 | − | 17.5426i | −0.579940 | − | 0.579940i | |||||
0.533616i | 0.0176312i | |||||||||
−9.13853 | −0.301781 | |||||||||
1.58024 | − | 2.22287i | 0.0521556 | − | 0.0733655i | |||||
−42.2895 | −1.39500 | −0.697500 | − | 0.716585i | ||||||
−0.697500 | + | 0.716585i | ||||||||
− | 3.34648i | − | 0.110330i | |||||||
−14.9120 | − | 14.9120i | −0.491366 | − | 0.491366i | |||||
5.35029 | 0.176202 | |||||||||
−4.91214 | − | 4.91214i | −0.161685 | − | 0.161685i | |||||
5.80125 | − | 5.80125i | 0.190847 | − | 0.190847i | |||||
−2.90166 | + | 2.90166i | −0.0954061 | + | 0.0954061i | |||||
20.5938i | 0.676754i | |||||||||
3.48146i | 0.114346i | |||||||||
23.3988 | − | 23.3988i | 0.768105 | − | 0.768105i | |||||
8.33116 | − | 8.33116i | 0.273337 | − | 0.273337i | −0.557105 | − | 0.830442i | ||
0.830442 | + | 0.557105i | ||||||||
0.219813 | + | 0.219813i | 0.00720797 | + | 0.00720797i | |||||
−3.58834 | −0.117603 | |||||||||
17.5623 | + | 17.5623i | 0.575273 | + | 0.575273i | |||||
11.2787i | 0.369248i | |||||||||
−4.89457 | −0.160155 | |||||||||
8.48708 | + | 50.2268i | 0.277557 | + | 1.64259i | |||||
−10.6007 | −0.346493 | |||||||||
− | 39.3993i | − | 1.28712i | −0.765396 | − | 0.643560i | ||||
0.765396 | − | 0.643560i | ||||||||
3.49517 | + | 3.49517i | 0.114121 | + | 0.114121i | |||||
19.9287 | 0.650348 | |||||||||
−16.0167 | − | 16.0167i | −0.522407 | − | 0.522407i | |||||
−1.20597 | + | 1.20597i | −0.0393135 | + | 0.0393135i | −0.726490 | − | 0.687177i | ||
0.687177 | + | 0.726490i | ||||||||
−11.0686 | + | 11.0686i | −0.360633 | + | 0.360633i | |||||
3.67889i | 0.119801i | |||||||||
− | 3.01195i | − | 0.0980307i | |||||||
1.66372 | − | 1.66372i | 0.0541208 | − | 0.0541208i | |||||
−24.4043 | + | 24.4043i | −0.793453 | + | 0.793453i | |||||
−27.1014 | − | 27.1014i | −0.880678 | − | 0.880678i | 0.112926 | − | 0.993603i | ||
−0.993603 | + | 0.112926i | ||||||||
−16.3605 | −0.531366 | |||||||||
−31.4596 | − | 31.4596i | −1.02122 | − | 1.02122i | |||||
1.27207i | 0.0412714i | |||||||||
30.5111 | 0.989390 | |||||||||
−5.62952 | + | 7.91886i | −0.182454 | + | 0.256652i | |||||
−43.5262 | −1.40995 | −0.704975 | − | 0.709232i | ||||||
−0.704975 | + | 0.709232i | ||||||||
− | 6.27059i | − | 0.203018i | |||||||
−8.69635 | − | 8.69635i | −0.281407 | − | 0.281407i | |||||
−1.81449 | −0.0586848 | |||||||||
21.3717 | + | 21.3717i | 0.690848 | + | 0.690848i | |||||
−12.6822 | + | 12.6822i | −0.409742 | + | 0.409742i | |||||
5.32816 | − | 5.32816i | 0.172055 | − | 0.172055i | |||||
− | 1.57736i | − | 0.0509092i | |||||||
− | 30.9601i | − | 0.998713i | |||||||
−16.1111 | + | 16.1111i | −0.519442 | + | 0.519442i | |||||
3.28575 | − | 3.28575i | 0.105882 | − | 0.105882i | |||||
10.0820 | + | 10.0820i | 0.324719 | + | 0.324719i | |||||
51.0498 | 1.64335 | |||||||||
0.282311 | + | 0.282311i | 0.00908322 | + | 0.00908322i | |||||
− | 9.46568i | − | 0.304396i | −0.988350 | − | 0.152198i | ||||
0.988350 | − | 0.152198i | ||||||||
39.0499 | 1.25511 | |||||||||
12.0586 | + | 8.57243i | 0.387377 | + | 0.275386i | |||||
12.8531 | 0.412688 | |||||||||
1.89708i | 0.0608801i | 0.999537 | + | 0.0304400i | ||||||
−0.999537 | + | 0.0304400i | ||||||||
1.10482 | + | 1.10482i | 0.0354372 | + | 0.0354372i | |||||
0.515904 | 0.0165391 | |||||||||
14.7335 | + | 14.7335i | 0.472092 | + | 0.472092i | |||||
1.70476 | − | 1.70476i | 0.0545959 | − | 0.0545959i | |||||
−11.6772 | + | 11.6772i | −0.373777 | + | 0.373777i | |||||
13.9325i | 0.445739i | 0.974848 | + | 0.222869i | ||||||
−0.974848 | + | 0.222869i | ||||||||
− | 15.8424i | − | 0.506583i | |||||||
−45.6832 | + | 45.6832i | −1.46004 | + | 1.46004i | |||||
−2.59949 | + | 2.59949i | −0.0830375 | + | 0.0830375i | |||||
9.85208 | + | 9.85208i | 0.314553 | + | 0.314553i | |||||
−2.09931 | −0.0669917 | |||||||||
−18.0017 | − | 18.0017i | −0.574164 | − | 0.574164i | 0.359125 | − | 0.933289i | ||
−0.933289 | + | 0.359125i | ||||||||
14.3630i | 0.457877i | |||||||||
−15.7552 | −0.502002 | |||||||||
−12.7949 | − | 9.09591i | −0.407473 | − | 0.289673i | |||||
6.16149 | 0.196122 | |||||||||
− | 25.2216i | − | 0.802406i | |||||||
4.24089 | + | 4.24089i | 0.134852 | + | 0.134852i | |||||
8.17215 | 0.259728 | |||||||||
21.4207 | + | 21.4207i | 0.680452 | + | 0.680452i | 0.960102 | − | 0.279650i | ||
−0.279650 | + | 0.960102i | ||||||||
0.811957 | − | 0.811957i | 0.0257796 | − | 0.0257796i | |||||
17.5361 | − | 17.5361i | 0.556491 | − | 0.556491i | |||||
1.02147i | 0.0323991i | |||||||||
15.8032i | 0.500995i | |||||||||
8.94126 | − | 8.94126i | 0.283315 | − | 0.283315i | |||||
21.0161 | − | 21.0161i | 0.665587 | − | 0.665587i | −0.291104 | − | 0.956691i | ||
0.956691 | + | 0.291104i | ||||||||
−4.68763 | − | 4.68763i | −0.148384 | − | 0.148384i | |||||
7.65696 | 0.242256 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 357.2.k.b.64.7 | ✓ | 20 | |
3.2 | odd | 2 | 1071.2.n.b.64.4 | 20 | |||
17.2 | even | 8 | 6069.2.a.bd.1.4 | 10 | |||
17.4 | even | 4 | inner | 357.2.k.b.106.4 | yes | 20 | |
17.15 | even | 8 | 6069.2.a.be.1.4 | 10 | |||
51.38 | odd | 4 | 1071.2.n.b.820.7 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
357.2.k.b.64.7 | ✓ | 20 | 1.1 | even | 1 | trivial | |
357.2.k.b.106.4 | yes | 20 | 17.4 | even | 4 | inner | |
1071.2.n.b.64.4 | 20 | 3.2 | odd | 2 | |||
1071.2.n.b.820.7 | 20 | 51.38 | odd | 4 | |||
6069.2.a.bd.1.4 | 10 | 17.2 | even | 8 | |||
6069.2.a.be.1.4 | 10 | 17.15 | even | 8 |