Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1734,2,Mod(829,1734)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1734, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([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("1734.829");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1734.f (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 1483.2 | ||
Root | of defining polynomial | ||
Character | 1734.1483 | ||
Dual form | 1734.2.f.a.829.2 |
-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 .
− | 1.00000i | − | 0.707107i | |||||||
0.707107 | − | 0.707107i | 0.408248 | − | 0.408248i | |||||
−1.00000 | −0.500000 | |||||||||
−0.707107 | + | 0.707107i | −0.316228 | + | 0.316228i | −0.847316 | − | 0.531089i | ||
0.531089 | + | 0.847316i | ||||||||
−0.707107 | − | 0.707107i | −0.288675 | − | 0.288675i | |||||
2.82843 | + | 2.82843i | 1.06904 | + | 1.06904i | 0.997433 | + | 0.0716124i | ||
0.0716124 | + | 0.997433i | ||||||||
1.00000i | 0.353553i | |||||||||
− | 1.00000i | − | 0.333333i | |||||||
0.707107 | + | 0.707107i | 0.223607 | + | 0.223607i | |||||
2.12132 | + | 2.12132i | 0.639602 | + | 0.639602i | 0.950457 | − | 0.310855i | ||
−0.310855 | + | 0.950457i | ||||||||
−0.707107 | + | 0.707107i | −0.204124 | + | 0.204124i | |||||
−6.00000 | −1.66410 | −0.832050 | − | 0.554700i | ||||||
−0.832050 | + | 0.554700i | ||||||||
2.82843 | − | 2.82843i | 0.755929 | − | 0.755929i | |||||
1.00000i | 0.258199i | |||||||||
1.00000 | 0.250000 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.235702 | |||||||||
4.00000i | 0.917663i | 0.888523 | + | 0.458831i | ||||||
−0.888523 | + | 0.458831i | ||||||||
0.707107 | − | 0.707107i | 0.158114 | − | 0.158114i | |||||
4.00000 | 0.872872 | |||||||||
2.12132 | − | 2.12132i | 0.452267 | − | 0.452267i | |||||
−4.24264 | − | 4.24264i | −0.884652 | − | 0.884652i | 0.109351 | − | 0.994003i | ||
−0.994003 | + | 0.109351i | ||||||||
0.707107 | + | 0.707107i | 0.144338 | + | 0.144338i | |||||
4.00000i | 0.800000i | |||||||||
6.00000i | 1.17670i | |||||||||
−0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | |||||
−2.82843 | − | 2.82843i | −0.534522 | − | 0.534522i | |||||
−4.94975 | + | 4.94975i | −0.919145 | + | 0.919145i | −0.996967 | − | 0.0778222i | ||
0.0778222 | + | 0.996967i | ||||||||
1.00000 | 0.182574 | |||||||||
2.12132 | − | 2.12132i | 0.381000 | − | 0.381000i | −0.490462 | − | 0.871463i | ||
0.871463 | + | 0.490462i | ||||||||
− | 1.00000i | − | 0.176777i | |||||||
3.00000 | 0.522233 | |||||||||
0 | 0 | |||||||||
−4.00000 | −0.676123 | |||||||||
1.00000i | 0.166667i | |||||||||
−5.65685 | + | 5.65685i | −0.929981 | + | 0.929981i | −0.997704 | − | 0.0677230i | ||
0.0677230 | + | 0.997704i | ||||||||
4.00000 | 0.648886 | |||||||||
−4.24264 | + | 4.24264i | −0.679366 | + | 0.679366i | |||||
−0.707107 | − | 0.707107i | −0.111803 | − | 0.111803i | |||||
1.41421 | + | 1.41421i | 0.220863 | + | 0.220863i | 0.808862 | − | 0.587999i | ||
−0.587999 | + | 0.808862i | ||||||||
− | 4.00000i | − | 0.617213i | |||||||
4.00000i | 0.609994i | 0.952353 | + | 0.304997i | ||||||
−0.952353 | + | 0.304997i | ||||||||
−2.12132 | − | 2.12132i | −0.319801 | − | 0.319801i | |||||
0.707107 | + | 0.707107i | 0.105409 | + | 0.105409i | |||||
−4.24264 | + | 4.24264i | −0.625543 | + | 0.625543i | |||||
2.00000 | 0.291730 | 0.145865 | − | 0.989305i | ||||||
0.145865 | + | 0.989305i | ||||||||
0.707107 | − | 0.707107i | 0.102062 | − | 0.102062i | |||||
9.00000i | 1.28571i | |||||||||
4.00000 | 0.565685 | |||||||||
0 | 0 | |||||||||
6.00000 | 0.832050 | |||||||||
13.0000i | 1.78569i | 0.450367 | + | 0.892844i | ||||||
−0.450367 | + | 0.892844i | ||||||||
−0.707107 | + | 0.707107i | −0.0962250 | + | 0.0962250i | |||||
−3.00000 | −0.404520 | |||||||||
−2.82843 | + | 2.82843i | −0.377964 | + | 0.377964i | |||||
2.82843 | + | 2.82843i | 0.374634 | + | 0.374634i | |||||
4.94975 | + | 4.94975i | 0.649934 | + | 0.649934i | |||||
− | 9.00000i | − | 1.17170i | −0.810419 | − | 0.585850i | ||||
0.810419 | − | 0.585850i | ||||||||
− | 1.00000i | − | 0.129099i | |||||||
−7.07107 | − | 7.07107i | −0.905357 | − | 0.905357i | 0.0905357 | − | 0.995893i | ||
−0.995893 | + | 0.0905357i | ||||||||
−2.12132 | − | 2.12132i | −0.269408 | − | 0.269408i | |||||
2.82843 | − | 2.82843i | 0.356348 | − | 0.356348i | |||||
−1.00000 | −0.125000 | |||||||||
4.24264 | − | 4.24264i | 0.526235 | − | 0.526235i | |||||
− | 3.00000i | − | 0.369274i | |||||||
−6.00000 | −0.733017 | −0.366508 | − | 0.930415i | ||||||
−0.366508 | + | 0.930415i | ||||||||
0 | 0 | |||||||||
−6.00000 | −0.722315 | |||||||||
4.00000i | 0.478091i | |||||||||
8.48528 | − | 8.48528i | 1.00702 | − | 1.00702i | 0.00704243 | − | 0.999975i | ||
0.999975 | − | 0.00704243i | ||||||||
1.00000 | 0.117851 | |||||||||
−4.94975 | + | 4.94975i | −0.579324 | + | 0.579324i | −0.934717 | − | 0.355393i | ||
0.355393 | + | 0.934717i | ||||||||
5.65685 | + | 5.65685i | 0.657596 | + | 0.657596i | |||||
2.82843 | + | 2.82843i | 0.326599 | + | 0.326599i | |||||
− | 4.00000i | − | 0.458831i | |||||||
12.0000i | 1.36753i | |||||||||
4.24264 | + | 4.24264i | 0.480384 | + | 0.480384i | |||||
3.53553 | + | 3.53553i | 0.397779 | + | 0.397779i | 0.877449 | − | 0.479670i | ||
−0.479670 | + | 0.877449i | ||||||||
−0.707107 | + | 0.707107i | −0.0790569 | + | 0.0790569i | |||||
−1.00000 | −0.111111 | |||||||||
1.41421 | − | 1.41421i | 0.156174 | − | 0.156174i | |||||
12.0000i | 1.31717i | 0.752506 | + | 0.658586i | ||||||
−0.752506 | + | 0.658586i | ||||||||
−4.00000 | −0.436436 | |||||||||
0 | 0 | |||||||||
4.00000 | 0.431331 | |||||||||
7.00000i | 0.750479i | |||||||||
−2.12132 | + | 2.12132i | −0.226134 | + | 0.226134i | |||||
−4.00000 | −0.423999 | −0.212000 | − | 0.977270i | ||||||
−0.212000 | + | 0.977270i | ||||||||
0.707107 | − | 0.707107i | 0.0745356 | − | 0.0745356i | |||||
−16.9706 | − | 16.9706i | −1.77900 | − | 1.77900i | |||||
4.24264 | + | 4.24264i | 0.442326 | + | 0.442326i | |||||
− | 3.00000i | − | 0.311086i | |||||||
− | 2.00000i | − | 0.206284i | |||||||
−2.82843 | − | 2.82843i | −0.290191 | − | 0.290191i | |||||
−0.707107 | − | 0.707107i | −0.0721688 | − | 0.0721688i | |||||
2.12132 | − | 2.12132i | 0.215387 | − | 0.215387i | −0.591164 | − | 0.806551i | ||
0.806551 | + | 0.591164i | ||||||||
9.00000 | 0.909137 | |||||||||
2.12132 | − | 2.12132i | 0.213201 | − | 0.213201i | |||||
− | 4.00000i | − | 0.400000i | |||||||
17.0000 | 1.69156 | 0.845782 | − | 0.533529i | ||||||
0.845782 | + | 0.533529i | ||||||||
0 | 0 | |||||||||
13.0000 | 1.28093 | 0.640464 | − | 0.767988i | ||||||
0.640464 | + | 0.767988i | ||||||||
− | 6.00000i | − | 0.588348i | |||||||
−2.82843 | + | 2.82843i | −0.276026 | + | 0.276026i | |||||
13.0000 | 1.26267 | |||||||||
10.6066 | − | 10.6066i | 1.02538 | − | 1.02538i | 0.0257094 | − | 0.999669i | ||
0.999669 | − | 0.0257094i | ||||||||
0.707107 | + | 0.707107i | 0.0680414 | + | 0.0680414i | |||||
7.07107 | + | 7.07107i | 0.677285 | + | 0.677285i | 0.959385 | − | 0.282100i | ||
−0.282100 | + | 0.959385i | ||||||||
3.00000i | 0.286039i | |||||||||
8.00000i | 0.759326i | |||||||||
2.82843 | + | 2.82843i | 0.267261 | + | 0.267261i | |||||
7.07107 | + | 7.07107i | 0.665190 | + | 0.665190i | 0.956599 | − | 0.291409i | ||
−0.291409 | + | 0.956599i | ||||||||
2.82843 | − | 2.82843i | 0.264906 | − | 0.264906i | |||||
6.00000 | 0.559503 | |||||||||
4.94975 | − | 4.94975i | 0.459573 | − | 0.459573i | |||||
6.00000i | 0.554700i | |||||||||
−9.00000 | −0.828517 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.0912871 | |||||||||
− | 2.00000i | − | 0.181818i | |||||||
−7.07107 | + | 7.07107i | −0.640184 | + | 0.640184i | |||||
2.00000 | 0.180334 | |||||||||
−2.12132 | + | 2.12132i | −0.190500 | + | 0.190500i | |||||
−6.36396 | − | 6.36396i | −0.569210 | − | 0.569210i | |||||
−2.82843 | − | 2.82843i | −0.251976 | − | 0.251976i | |||||
16.0000i | 1.41977i | 0.704317 | + | 0.709885i | ||||||
−0.704317 | + | 0.709885i | ||||||||
1.00000i | 0.0883883i | |||||||||
2.82843 | + | 2.82843i | 0.249029 | + | 0.249029i | |||||
−4.24264 | − | 4.24264i | −0.372104 | − | 0.372104i | |||||
14.1421 | − | 14.1421i | 1.23560 | − | 1.23560i | 0.273824 | − | 0.961780i | ||
0.961780 | − | 0.273824i | ||||||||
−3.00000 | −0.261116 | |||||||||
−11.3137 | + | 11.3137i | −0.981023 | + | 0.981023i | |||||
6.00000i | 0.518321i | |||||||||
1.00000 | 0.0860663 | |||||||||
0 | 0 | |||||||||
12.0000 | 1.02523 | 0.512615 | − | 0.858619i | ||||||
0.512615 | + | 0.858619i | ||||||||
6.00000i | 0.510754i | |||||||||
−5.65685 | + | 5.65685i | −0.479808 | + | 0.479808i | −0.905070 | − | 0.425262i | ||
0.425262 | + | 0.905070i | ||||||||
4.00000 | 0.338062 | |||||||||
1.41421 | − | 1.41421i | 0.119098 | − | 0.119098i | |||||
−8.48528 | − | 8.48528i | −0.712069 | − | 0.712069i | |||||
−12.7279 | − | 12.7279i | −1.06436 | − | 1.06436i | |||||
− | 1.00000i | − | 0.0833333i | |||||||
− | 7.00000i | − | 0.581318i | |||||||
4.94975 | + | 4.94975i | 0.409644 | + | 0.409644i | |||||
6.36396 | + | 6.36396i | 0.524891 | + | 0.524891i | |||||
5.65685 | − | 5.65685i | 0.464991 | − | 0.464991i | |||||
−15.0000 | −1.22885 | −0.614424 | − | 0.788976i | ||||||
−0.614424 | + | 0.788976i | ||||||||
2.82843 | − | 2.82843i | 0.230940 | − | 0.230940i | |||||
− | 9.00000i | − | 0.732410i | −0.930534 | − | 0.366205i | ||||
0.930534 | − | 0.366205i | ||||||||
−4.00000 | −0.324443 | |||||||||
0 | 0 | |||||||||
12.0000 | 0.966988 | |||||||||
3.00000i | 0.240966i | |||||||||
4.24264 | − | 4.24264i | 0.339683 | − | 0.339683i | |||||
−12.0000 | −0.957704 | −0.478852 | − | 0.877896i | ||||||
−0.478852 | + | 0.877896i | ||||||||
3.53553 | − | 3.53553i | 0.281272 | − | 0.281272i | |||||
9.19239 | + | 9.19239i | 0.729004 | + | 0.729004i | |||||
0.707107 | + | 0.707107i | 0.0559017 | + | 0.0559017i | |||||
− | 24.0000i | − | 1.89146i | |||||||
1.00000i | 0.0785674i | |||||||||
4.24264 | + | 4.24264i | 0.332309 | + | 0.332309i | 0.853463 | − | 0.521154i | ||
−0.521154 | + | 0.853463i | ||||||||
−1.41421 | − | 1.41421i | −0.110432 | − | 0.110432i | |||||
−2.12132 | + | 2.12132i | −0.165145 | + | 0.165145i | |||||
12.0000 | 0.931381 | |||||||||
5.65685 | − | 5.65685i | 0.437741 | − | 0.437741i | −0.453510 | − | 0.891251i | ||
0.891251 | + | 0.453510i | ||||||||
4.00000i | 0.308607i | |||||||||
23.0000 | 1.76923 | |||||||||
0 | 0 | |||||||||
4.00000 | 0.305888 | |||||||||
− | 4.00000i | − | 0.304997i | |||||||
9.19239 | − | 9.19239i | 0.698884 | − | 0.698884i | −0.265286 | − | 0.964170i | ||
0.964170 | + | 0.265286i | ||||||||
7.00000 | 0.530669 | |||||||||
−11.3137 | + | 11.3137i | −0.855236 | + | 0.855236i | |||||
2.12132 | + | 2.12132i | 0.159901 | + | 0.159901i | |||||
−6.36396 | − | 6.36396i | −0.478345 | − | 0.478345i | |||||
4.00000i | 0.299813i | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
−0.707107 | − | 0.707107i | −0.0527046 | − | 0.0527046i | |||||
−7.07107 | − | 7.07107i | −0.525588 | − | 0.525588i | 0.393665 | − | 0.919254i | ||
−0.919254 | + | 0.393665i | ||||||||
−16.9706 | + | 16.9706i | −1.25794 | + | 1.25794i | |||||
−10.0000 | −0.739221 | |||||||||
4.24264 | − | 4.24264i | 0.312772 | − | 0.312772i | |||||
− | 8.00000i | − | 0.588172i | |||||||
−3.00000 | −0.219971 | |||||||||
0 | 0 | |||||||||
−2.00000 | −0.145865 | |||||||||
− | 4.00000i | − | 0.290957i | |||||||
−2.82843 | + | 2.82843i | −0.205196 | + | 0.205196i | |||||
−14.0000 | −1.01300 | −0.506502 | − | 0.862239i | ||||||
−0.506502 | + | 0.862239i | ||||||||
−0.707107 | + | 0.707107i | −0.0510310 | + | 0.0510310i | |||||
−6.36396 | − | 6.36396i | −0.458088 | − | 0.458088i | 0.439939 | − | 0.898027i | ||
−0.898027 | + | 0.439939i | ||||||||
−2.12132 | − | 2.12132i | −0.152302 | − | 0.152302i | |||||
− | 6.00000i | − | 0.429669i | |||||||
− | 9.00000i | − | 0.642857i | |||||||
−7.07107 | − | 7.07107i | −0.503793 | − | 0.503793i | 0.408822 | − | 0.912614i | ||
−0.912614 | + | 0.408822i | ||||||||
−2.12132 | − | 2.12132i | −0.150756 | − | 0.150756i | |||||
−0.707107 | + | 0.707107i | −0.0501255 | + | 0.0501255i | −0.731725 | − | 0.681600i | ||
0.681600 | + | 0.731725i | ||||||||
−4.00000 | −0.282843 | |||||||||
−4.24264 | + | 4.24264i | −0.299253 | + | 0.299253i | |||||
− | 17.0000i | − | 1.19612i | |||||||
−28.0000 | −1.96521 | |||||||||
0 | 0 | |||||||||
−2.00000 | −0.139686 | |||||||||
− | 13.0000i | − | 0.905753i | |||||||
−4.24264 | + | 4.24264i | −0.294884 | + | 0.294884i | |||||
−6.00000 | −0.416025 | |||||||||
−8.48528 | + | 8.48528i | −0.586939 | + | 0.586939i | |||||
2.82843 | + | 2.82843i | 0.195180 | + | 0.195180i | |||||
5.65685 | + | 5.65685i | 0.389434 | + | 0.389434i | 0.874486 | − | 0.485052i | ||
−0.485052 | + | 0.874486i | ||||||||
− | 13.0000i | − | 0.892844i | |||||||
− | 12.0000i | − | 0.822226i | |||||||
−10.6066 | − | 10.6066i | −0.725052 | − | 0.725052i | |||||
−2.82843 | − | 2.82843i | −0.192897 | − | 0.192897i | |||||
0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | |||||
12.0000 | 0.814613 | |||||||||
7.07107 | − | 7.07107i | 0.478913 | − | 0.478913i | |||||
7.00000i | 0.473016i | |||||||||
3.00000 | 0.202260 | |||||||||
0 | 0 | |||||||||
8.00000 | 0.536925 | |||||||||
17.0000i | 1.13840i | 0.822198 | + | 0.569202i | ||||||
−0.822198 | + | 0.569202i | ||||||||
2.82843 | − | 2.82843i | 0.188982 | − | 0.188982i | |||||
4.00000 | 0.266667 | |||||||||
7.07107 | − | 7.07107i | 0.470360 | − | 0.470360i | |||||
14.1421 | + | 14.1421i | 0.938647 | + | 0.938647i | 0.998224 | − | 0.0595772i | ||
−0.0595772 | + | 0.998224i | ||||||||
−2.82843 | − | 2.82843i | −0.187317 | − | 0.187317i | |||||
14.0000i | 0.925146i | 0.886581 | + | 0.462573i | ||||||
−0.886581 | + | 0.462573i | ||||||||
− | 6.00000i | − | 0.395628i | |||||||
8.48528 | + | 8.48528i | 0.558291 | + | 0.558291i | |||||
−4.94975 | − | 4.94975i | −0.324967 | − | 0.324967i | |||||
16.9706 | − | 16.9706i | 1.11178 | − | 1.11178i | 0.118869 | − | 0.992910i | ||
0.992910 | − | 0.118869i | ||||||||
6.00000 | 0.392232 | |||||||||
−1.41421 | + | 1.41421i | −0.0922531 | + | 0.0922531i | |||||
9.00000i | 0.585850i | |||||||||
5.00000 | 0.324785 | |||||||||
0 | 0 | |||||||||
−26.0000 | −1.68180 | −0.840900 | − | 0.541190i | ||||||
−0.840900 | + | 0.541190i | ||||||||
1.00000i | 0.0645497i | |||||||||
−10.6066 | + | 10.6066i | −0.683231 | + | 0.683231i | −0.960727 | − | 0.277496i | ||
0.277496 | + | 0.960727i | ||||||||
−2.00000 | −0.128565 | |||||||||
−0.707107 | + | 0.707107i | −0.0453609 | + | 0.0453609i | |||||
7.07107 | + | 7.07107i | 0.452679 | + | 0.452679i | |||||
−6.36396 | − | 6.36396i | −0.406579 | − | 0.406579i | |||||
− | 2.00000i | − | 0.127515i | |||||||
− | 24.0000i | − | 1.52708i | |||||||
2.12132 | + | 2.12132i | 0.134704 | + | 0.134704i | |||||
8.48528 | + | 8.48528i | 0.537733 | + | 0.537733i | |||||
−6.36396 | + | 6.36396i | −0.402492 | + | 0.402492i | |||||
15.0000 | 0.946792 | 0.473396 | − | 0.880850i | ||||||
0.473396 | + | 0.880850i | ||||||||
−2.82843 | + | 2.82843i | −0.178174 | + | 0.178174i | |||||
− | 18.0000i | − | 1.13165i | |||||||
16.0000 | 1.00393 | |||||||||
0 | 0 | |||||||||
1.00000 | 0.0625000 | |||||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
2.82843 | − | 2.82843i | 0.176090 | − | 0.176090i | |||||
−32.0000 | −1.98838 | |||||||||
−4.24264 | + | 4.24264i | −0.263117 | + | 0.263117i | |||||
4.94975 | + | 4.94975i | 0.306382 | + | 0.306382i | |||||
−14.1421 | − | 14.1421i | −0.873704 | − | 0.873704i | |||||
18.0000i | 1.10993i | 0.831875 | + | 0.554964i | ||||||
−0.831875 | + | 0.554964i | ||||||||
3.00000i | 0.184637i | |||||||||
−9.19239 | − | 9.19239i | −0.564684 | − | 0.564684i | |||||
11.3137 | + | 11.3137i | 0.693688 | + | 0.693688i | |||||
−2.82843 | + | 2.82843i | −0.173097 | + | 0.173097i | |||||
6.00000 | 0.366508 | |||||||||
−6.36396 | + | 6.36396i | −0.388018 | + | 0.388018i | −0.873980 | − | 0.485962i | ||
0.485962 | + | 0.873980i | ||||||||
− | 1.00000i | − | 0.0608581i | |||||||
5.00000 | 0.303728 | 0.151864 | − | 0.988401i | ||||||
0.151864 | + | 0.988401i | ||||||||
0 | 0 | |||||||||
−24.0000 | −1.45255 | |||||||||
− | 12.0000i | − | 0.724947i | |||||||
−8.48528 | + | 8.48528i | −0.511682 | + | 0.511682i | |||||
6.00000 | 0.361158 | |||||||||
15.5563 | − | 15.5563i | 0.934690 | − | 0.934690i | −0.0633039 | − | 0.997994i | ||
0.997994 | + | 0.0633039i | ||||||||
5.65685 | + | 5.65685i | 0.339276 | + | 0.339276i | |||||
−2.12132 | − | 2.12132i | −0.127000 | − | 0.127000i | |||||
− | 4.00000i | − | 0.239046i | |||||||
0 | 0 | 1.00000 | ||||||||
−1.00000 | ||||||||||
−1.41421 | − | 1.41421i | −0.0842152 | − | 0.0842152i | |||||
2.82843 | + | 2.82843i | 0.168133 | + | 0.168133i | 0.786158 | − | 0.618026i | ||
−0.618026 | + | 0.786158i | ||||||||
−8.48528 | + | 8.48528i | −0.503509 | + | 0.503509i | |||||
−4.00000 | −0.236940 | |||||||||
−12.7279 | + | 12.7279i | −0.752618 | + | 0.752618i | |||||
8.00000i | 0.472225i | |||||||||
−1.00000 | −0.0589256 | |||||||||
0 | 0 | |||||||||
−7.00000 | −0.411054 | |||||||||
− | 3.00000i | − | 0.175863i | |||||||
4.94975 | − | 4.94975i | 0.289662 | − | 0.289662i | |||||
19.0000 | 1.10999 | 0.554996 | − | 0.831853i | ||||||
0.554996 | + | 0.831853i | ||||||||
6.36396 | − | 6.36396i | 0.371154 | − | 0.371154i | |||||
6.36396 | + | 6.36396i | 0.370524 | + | 0.370524i | |||||
−5.65685 | − | 5.65685i | −0.328798 | − | 0.328798i | |||||
− | 3.00000i | − | 0.174078i | |||||||
15.0000i | 0.868927i | |||||||||
25.4558 | + | 25.4558i | 1.47215 | + | 1.47215i | |||||
−2.82843 | − | 2.82843i | −0.163299 | − | 0.163299i | |||||
−11.3137 | + | 11.3137i | −0.652111 | + | 0.652111i | |||||
−9.00000 | −0.517892 | |||||||||
12.0208 | − | 12.0208i | 0.690578 | − | 0.690578i | |||||
4.00000i | 0.229416i | |||||||||
10.0000 | 0.572598 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.684876 | −0.342438 | − | 0.939540i | ||||||
−0.342438 | + | 0.939540i | ||||||||
− | 12.0000i | − | 0.683763i | |||||||
9.19239 | − | 9.19239i | 0.522937 | − | 0.522937i | |||||
3.00000 | 0.170389 | |||||||||
0 | 0 | −0.707107 | − | 0.707107i | ||||||
0.707107 | + | 0.707107i | ||||||||
−4.24264 | − | 4.24264i | −0.240192 | − | 0.240192i | |||||
−9.89949 | − | 9.89949i | −0.559553 | − | 0.559553i | 0.369627 | − | 0.929180i | ||
−0.929180 | + | 0.369627i | ||||||||
12.0000i | 0.677199i | |||||||||
4.00000i | 0.225374i | |||||||||
−3.53553 | − | 3.53553i | −0.198889 | − | 0.198889i | |||||
−1.41421 | − | 1.41421i | −0.0794301 | − | 0.0794301i | 0.666276 | − | 0.745706i | ||
−0.745706 | + | 0.666276i | ||||||||
9.19239 | − | 9.19239i | 0.515484 | − | 0.515484i | |||||
−21.0000 | −1.17577 | |||||||||
0.707107 | − | 0.707107i | 0.0395285 | − | 0.0395285i | |||||
− | 15.0000i | − | 0.837218i | |||||||
−24.0000 | −1.33747 | |||||||||
0 | 0 | |||||||||
1.00000 | 0.0555556 | |||||||||
− | 24.0000i | − | 1.33128i | |||||||
4.24264 | − | 4.24264i | 0.234978 | − | 0.234978i | |||||
10.0000 | 0.553001 | |||||||||
−1.41421 | + | 1.41421i | −0.0780869 | + | 0.0780869i | |||||
5.65685 | + | 5.65685i | 0.311872 | + | 0.311872i | |||||
2.12132 | + | 2.12132i | 0.116775 | + | 0.116775i | |||||
22.0000i | 1.20923i | 0.796518 | + | 0.604615i | ||||||
−0.796518 | + | 0.604615i | ||||||||
− | 12.0000i | − | 0.658586i | |||||||
5.65685 | + | 5.65685i | 0.309994 | + | 0.309994i | |||||
−5.65685 | − | 5.65685i | −0.309529 | − | 0.309529i | |||||
4.24264 | − | 4.24264i | 0.231800 | − | 0.231800i | |||||
4.00000 | 0.218218 | |||||||||
−21.2132 | + | 21.2132i | −1.15556 | + | 1.15556i | −0.170136 | + | 0.985421i | ||
−0.985421 | + | 0.170136i | ||||||||
− | 23.0000i | − | 1.25104i | |||||||
10.0000 | 0.543125 | |||||||||
0 | 0 | |||||||||
9.00000 | 0.487377 | |||||||||
− | 4.00000i | − | 0.216295i | |||||||
−5.65685 | + | 5.65685i | −0.305441 | + | 0.305441i | |||||
−4.00000 | −0.215666 | |||||||||
4.24264 | − | 4.24264i | 0.228416 | − | 0.228416i | |||||
−9.19239 | − | 9.19239i | −0.494186 | − | 0.494186i | |||||
12.0208 | + | 12.0208i | 0.645311 | + | 0.645311i | 0.951856 | − | 0.306545i | ||
−0.306545 | + | 0.951856i | ||||||||
− | 7.00000i | − | 0.375239i | |||||||
− | 12.0000i | − | 0.642345i | −0.947021 | − | 0.321173i | ||||
0.947021 | − | 0.321173i | ||||||||
11.3137 | + | 11.3137i | 0.604743 | + | 0.604743i | |||||
4.24264 | + | 4.24264i | 0.226455 | + | 0.226455i | |||||
2.12132 | − | 2.12132i | 0.113067 | − | 0.113067i | |||||
4.00000 | 0.212899 | 0.106449 | − | 0.994318i | ||||||
0.106449 | + | 0.994318i | ||||||||
−6.36396 | + | 6.36396i | −0.338241 | + | 0.338241i | |||||
12.0000i | 0.636894i | |||||||||
4.00000 | 0.212000 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
− | 30.0000i | − | 1.58334i | −0.610949 | − | 0.791670i | ||||
0.610949 | − | 0.791670i | ||||||||
−0.707107 | + | 0.707107i | −0.0372678 | + | 0.0372678i | |||||
3.00000 | 0.157895 | |||||||||
−7.07107 | + | 7.07107i | −0.371647 | + | 0.371647i | |||||
−1.41421 | − | 1.41421i | −0.0742270 | − | 0.0742270i | |||||
16.9706 | + | 16.9706i | 0.889499 | + | 0.889499i | |||||
− | 7.00000i | − | 0.366397i | |||||||
10.0000i | 0.522708i | |||||||||
−12.0208 | − | 12.0208i | −0.627481 | − | 0.627481i | 0.319952 | − | 0.947434i | ||
−0.947434 | + | 0.319952i | ||||||||
−4.24264 | − | 4.24264i | −0.221163 | − | 0.221163i | |||||
1.41421 | − | 1.41421i | 0.0736210 | − | 0.0736210i | |||||
−8.00000 | −0.415900 | |||||||||
−36.7696 | + | 36.7696i | −1.90898 | + | 1.90898i | |||||
3.00000i | 0.155543i | |||||||||
−32.0000 | −1.65690 | −0.828449 | − | 0.560065i | ||||||
−0.828449 | + | 0.560065i | ||||||||
0 | 0 | |||||||||
−9.00000 | −0.464758 | |||||||||
2.00000i | 0.103142i | |||||||||
29.6985 | − | 29.6985i | 1.52955 | − | 1.52955i | |||||
−4.00000 | −0.205738 | |||||||||
−7.07107 | + | 7.07107i | −0.363216 | + | 0.363216i | −0.864996 | − | 0.501779i | ||
0.501779 | + | 0.864996i | ||||||||
2.82843 | + | 2.82843i | 0.145095 | + | 0.145095i | |||||
11.3137 | + | 11.3137i | 0.579619 | + | 0.579619i | |||||
14.0000i | 0.716302i | |||||||||
2.00000i | 0.102195i | 0.998694 | + | 0.0510976i | ||||||
−0.998694 | + | 0.0510976i | ||||||||
0.707107 | + | 0.707107i | 0.0360844 | + | 0.0360844i | |||||
−8.48528 | − | 8.48528i | −0.432450 | − | 0.432450i | |||||
−6.36396 | + | 6.36396i | −0.323917 | + | 0.323917i | |||||
4.00000 | 0.203331 | |||||||||
−2.12132 | + | 2.12132i | −0.107694 | + | 0.107694i | |||||
− | 5.00000i | − | 0.253510i | −0.991934 | − | 0.126755i | ||||
0.991934 | − | 0.126755i | ||||||||
−6.00000 | −0.303822 | |||||||||
0 | 0 | |||||||||
−9.00000 | −0.454569 | |||||||||
− | 20.0000i | − | 1.00887i | |||||||
−7.07107 | + | 7.07107i | −0.356235 | + | 0.356235i | |||||
−5.00000 | −0.251577 | |||||||||
−2.12132 | + | 2.12132i | −0.106600 | + | 0.106600i | |||||
15.5563 | + | 15.5563i | 0.780751 | + | 0.780751i | 0.979957 | − | 0.199207i | ||
−0.199207 | + | 0.979957i | ||||||||
0.707107 | + | 0.707107i | 0.0354441 | + | 0.0354441i | |||||
16.0000i | 0.801002i | |||||||||
4.00000i | 0.200000i | |||||||||
−8.48528 | − | 8.48528i | −0.423735 | − | 0.423735i | 0.462753 | − | 0.886487i | ||
−0.886487 | + | 0.462753i | ||||||||
4.24264 | + | 4.24264i | 0.211604 | + | 0.211604i | |||||
−12.7279 | + | 12.7279i | −0.634023 | + | 0.634023i | |||||
−17.0000 | −0.845782 | |||||||||
0.707107 | − | 0.707107i | 0.0351364 | − | 0.0351364i | |||||
28.0000i | 1.38962i | |||||||||
−24.0000 | −1.18964 | |||||||||
0 | 0 | |||||||||
19.0000 | 0.939490 | 0.469745 | − | 0.882802i | ||||||
0.469745 | + | 0.882802i | ||||||||
2.00000i | 0.0987730i | |||||||||
8.48528 | − | 8.48528i | 0.418548 | − | 0.418548i | |||||
−13.0000 | −0.640464 | |||||||||
25.4558 | − | 25.4558i | 1.25260 | − | 1.25260i | |||||
4.24264 | + | 4.24264i | 0.208514 | + | 0.208514i | |||||
−8.48528 | − | 8.48528i | −0.416526 | − | 0.416526i | |||||
6.00000i | 0.294174i | |||||||||
8.00000i | 0.391762i | |||||||||
8.48528 | + | 8.48528i | 0.415029 | + | 0.415029i | |||||
2.12132 | + | 2.12132i | 0.103633 | + | 0.103633i | 0.757022 | − | 0.653389i | ||
−0.653389 | + | 0.757022i | ||||||||
2.82843 | − | 2.82843i | 0.138013 | − | 0.138013i | |||||
−22.0000 | −1.07221 | −0.536107 | − | 0.844150i | ||||||
−0.536107 | + | 0.844150i | ||||||||
5.65685 | − | 5.65685i | 0.275371 | − | 0.275371i | |||||
− | 2.00000i | − | 0.0972433i | |||||||
−13.0000 | −0.631336 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.581402 | |||||||||
− | 40.0000i | − | 1.93574i | |||||||
−10.6066 | + | 10.6066i | −0.512689 | + | 0.512689i | |||||
−18.0000 | −0.869048 | |||||||||
−2.82843 | + | 2.82843i | −0.136399 | + | 0.136399i | |||||
7.07107 | + | 7.07107i | 0.340601 | + | 0.340601i | 0.856593 | − | 0.515992i | ||
−0.515992 | + | 0.856593i | ||||||||
−0.707107 | − | 0.707107i | −0.0340207 | − | 0.0340207i | |||||
3.00000i | 0.144171i | 0.997398 | + | 0.0720854i | ||||||
−0.997398 | + | 0.0720854i | ||||||||
− | 12.0000i | − | 0.576018i | |||||||
−4.94975 | − | 4.94975i | −0.237322 | − | 0.237322i | |||||
−7.07107 | − | 7.07107i | −0.338643 | − | 0.338643i | |||||
16.9706 | − | 16.9706i | 0.811812 | − | 0.811812i | |||||
7.00000 | 0.334473 | |||||||||
19.7990 | − | 19.7990i | 0.944954 | − | 0.944954i | −0.0536078 | − | 0.998562i | ||
0.998562 | + | 0.0536078i | ||||||||
− | 3.00000i | − | 0.143019i | |||||||
9.00000 | 0.428571 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.570137 | −0.285069 | − | 0.958507i | ||||||
−0.285069 | + | 0.958507i | ||||||||
− | 8.00000i | − | 0.379663i | |||||||
2.82843 | − | 2.82843i | 0.134080 | − | 0.134080i | |||||
17.0000 | 0.804973 | |||||||||
−10.6066 | + | 10.6066i | −0.501675 | + | 0.501675i | |||||
−2.82843 | − | 2.82843i | −0.133631 | − | 0.133631i | |||||
2.82843 | + | 2.82843i | 0.133482 | + | 0.133482i | 0.770691 | − | 0.637209i | ||
−0.637209 | + | 0.770691i | ||||||||
− | 4.00000i | − | 0.188562i | |||||||
6.00000i | 0.282529i | |||||||||
−7.07107 | − | 7.07107i | −0.332595 | − | 0.332595i | |||||
−6.36396 | − | 6.36396i | −0.299005 | − | 0.299005i | |||||
14.1421 | − | 14.1421i | 0.663723 | − | 0.663723i | |||||
24.0000 | 1.12514 | |||||||||
−2.82843 | + | 2.82843i | −0.132453 | + | 0.132453i | |||||
− | 17.0000i | − | 0.795226i | −0.917553 | − | 0.397613i | ||||
0.917553 | − | 0.397613i | ||||||||
14.0000 | 0.654177 | |||||||||
0 | 0 | |||||||||
−6.00000 | −0.279751 | |||||||||
35.0000i | 1.63011i | 0.579382 | + | 0.815056i | ||||||
−0.579382 | + | 0.815056i | ||||||||
8.48528 | − | 8.48528i | 0.394771 | − | 0.394771i | |||||
−5.00000 | −0.232370 | −0.116185 | − | 0.993228i | ||||||
−0.116185 | + | 0.993228i | ||||||||
−4.94975 | + | 4.94975i | −0.229786 | + | 0.229786i | |||||
2.12132 | + | 2.12132i | 0.0983739 | + | 0.0983739i | |||||
−16.9706 | − | 16.9706i | −0.786146 | − | 0.786146i | |||||
3.00000i | 0.138823i | 0.997588 | + | 0.0694117i | ||||||
−0.997588 | + | 0.0694117i | ||||||||
− | 6.00000i | − | 0.277350i | |||||||
−16.9706 | − | 16.9706i | −0.783628 | − | 0.783628i | |||||
1.41421 | + | 1.41421i | 0.0652328 | + | 0.0652328i | |||||
−8.48528 | + | 8.48528i | −0.390981 | + | 0.390981i | |||||
9.00000 | 0.414259 | |||||||||
−8.48528 | + | 8.48528i | −0.390154 | + | 0.390154i | |||||
− | 5.00000i | − | 0.229658i | |||||||
−16.0000 | −0.734130 | |||||||||
0 | 0 | |||||||||
13.0000 | 0.595229 | |||||||||
26.0000i | 1.18921i | |||||||||
9.89949 | − | 9.89949i | 0.452319 | − | 0.452319i | −0.443804 | − | 0.896124i | ||
0.896124 | + | 0.443804i | ||||||||
1.00000 | 0.0456435 | |||||||||
33.9411 | − | 33.9411i | 1.54758 | − | 1.54758i | |||||
10.6066 | + | 10.6066i | 0.483117 | + | 0.483117i | |||||
−16.9706 | − | 16.9706i | −0.772187 | − | 0.772187i | |||||
2.00000i | 0.0909091i | |||||||||
3.00000i | 0.136223i | |||||||||
0.707107 | + | 0.707107i | 0.0320750 | + | 0.0320750i | |||||
−17.6777 | − | 17.6777i | −0.801052 | − | 0.801052i | 0.182208 | − | 0.983260i | ||
−0.983260 | + | 0.182208i | ||||||||
7.07107 | − | 7.07107i | 0.320092 | − | 0.320092i | |||||
6.00000 | 0.271329 | |||||||||
−6.36396 | + | 6.36396i | −0.287494 | + | 0.287494i | |||||
− | 23.0000i | − | 1.03798i | −0.854782 | − | 0.518988i | ||||
0.854782 | − | 0.518988i | ||||||||
−2.00000 | −0.0901670 | |||||||||
0 | 0 | |||||||||
−24.0000 | −1.07981 | |||||||||
3.00000i | 0.134840i | |||||||||
2.12132 | − | 2.12132i | 0.0952501 | − | 0.0952501i | |||||
48.0000 | 2.15309 | |||||||||
8.48528 | − | 8.48528i | 0.380235 | − | 0.380235i | |||||
−5.65685 | − | 5.65685i | −0.253236 | − | 0.253236i | 0.569060 | − | 0.822296i | ||
−0.822296 | + | 0.569060i | ||||||||
6.36396 | + | 6.36396i | 0.284605 | + | 0.284605i | |||||
− | 8.00000i | − | 0.357414i | |||||||
− | 15.0000i | − | 0.669483i | |||||||
−1.41421 | − | 1.41421i | −0.0630567 | − | 0.0630567i | 0.674875 | − | 0.737932i | ||
−0.737932 | + | 0.674875i | ||||||||
2.82843 | + | 2.82843i | 0.125988 | + | 0.125988i | |||||
−12.0208 | + | 12.0208i | −0.534919 | + | 0.534919i | |||||
−18.0000 | −0.800198 | |||||||||
16.2635 | − | 16.2635i | 0.722285 | − | 0.722285i | |||||
− | 16.0000i | − | 0.709885i | |||||||
−31.0000 | −1.37405 | −0.687025 | − | 0.726633i | ||||||
−0.687025 | + | 0.726633i | ||||||||
0 | 0 | |||||||||
−28.0000 | −1.23865 | |||||||||
− | 1.00000i | − | 0.0441942i | |||||||
2.82843 | − | 2.82843i | 0.124878 | − | 0.124878i | |||||
0 | 0 | |||||||||
−9.19239 | + | 9.19239i | −0.405065 | + | 0.405065i | |||||
−2.82843 | − | 2.82843i | −0.124515 | − | 0.124515i | |||||
4.24264 | + | 4.24264i | 0.186591 | + | 0.186591i | |||||
32.0000i | 1.40600i | |||||||||
− | 13.0000i | − | 0.570637i | |||||||
4.24264 | + | 4.24264i | 0.186052 | + | 0.186052i | |||||
−14.1421 | − | 14.1421i | −0.619578 | − | 0.619578i | 0.325845 | − | 0.945423i | ||
−0.945423 | + | 0.325845i | ||||||||
4.94975 | − | 4.94975i | 0.216645 | − | 0.216645i | |||||
26.0000 | 1.13690 | 0.568450 | − | 0.822718i | ||||||
0.568450 | + | 0.822718i | ||||||||
−14.1421 | + | 14.1421i | −0.617802 | + | 0.617802i | |||||
16.0000i | 0.698297i | |||||||||
18.0000 | 0.784837 | |||||||||
0 | 0 | |||||||||
3.00000 | 0.130558 | |||||||||
13.0000i | 0.565217i | |||||||||
−9.19239 | + | 9.19239i | −0.399292 | + | 0.399292i | |||||
−9.00000 | −0.390567 | |||||||||
11.3137 | − | 11.3137i | 0.490511 | − | 0.490511i | |||||
−8.48528 | − | 8.48528i | −0.367538 | − | 0.367538i | |||||
2.82843 | + | 2.82843i | 0.122398 | + | 0.122398i | |||||
15.0000i | 0.648507i | |||||||||
− | 6.00000i | − | 0.259161i | |||||||
0 | 0 | |||||||||
6.36396 | + | 6.36396i | 0.274370 | + | 0.274370i | |||||
−19.0919 | + | 19.0919i | −0.822346 | + | 0.822346i | |||||
−1.00000 | −0.0430331 | |||||||||
−12.7279 | + | 12.7279i | −0.547216 | + | 0.547216i | −0.925635 | − | 0.378419i | ||
0.378419 | + | 0.925635i | ||||||||
− | 5.00000i | − | 0.214768i | |||||||
−10.0000 | −0.429141 | |||||||||
0 | 0 | |||||||||
−10.0000 | −0.428353 | |||||||||
24.0000i | 1.02711i | |||||||||
18.3848 | − | 18.3848i | 0.786076 | − | 0.786076i | −0.194772 | − | 0.980848i | ||
0.980848 | + | 0.194772i | ||||||||
−12.0000 | −0.512615 | |||||||||
−7.07107 | + | 7.07107i | −0.301786 | + | 0.301786i | |||||
8.48528 | + | 8.48528i | 0.361814 | + | 0.361814i | |||||
−19.7990 | − | 19.7990i | −0.843465 | − | 0.843465i | |||||
− | 6.00000i | − | 0.255377i | |||||||
20.0000i | 0.850487i | |||||||||
−15.5563 | − | 15.5563i | −0.660926 | − | 0.660926i | |||||
−5.65685 | − | 5.65685i | −0.240120 | − | 0.240120i | |||||
5.65685 | − | 5.65685i | 0.239904 | − | 0.239904i | |||||
−14.0000 | −0.593199 | −0.296600 | − | 0.955002i | ||||||
−0.296600 | + | 0.955002i | ||||||||
−2.12132 | + | 2.12132i | −0.0898027 | + | 0.0898027i | |||||
− | 24.0000i | − | 1.01509i | |||||||
−4.00000 | −0.169031 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
23.0000i | 0.969334i | 0.874699 | + | 0.484667i | ||||||
−0.874699 | + | 0.484667i | ||||||||
−1.41421 | + | 1.41421i | −0.0595491 | + | 0.0595491i | |||||
−10.0000 | −0.420703 | |||||||||
2.82843 | − | 2.82843i | 0.118888 | − | 0.118888i | |||||
−2.82843 | − | 2.82843i | −0.118783 | − | 0.118783i | |||||
8.48528 | + | 8.48528i | 0.356034 | + | 0.356034i | |||||
− | 18.0000i | − | 0.754599i | −0.926091 | − | 0.377300i | ||||
0.926091 | − | 0.377300i | ||||||||
4.00000i | 0.167542i | |||||||||
14.1421 | + | 14.1421i | 0.591830 | + | 0.591830i | 0.938125 | − | 0.346296i | ||
−0.346296 | + | 0.938125i | ||||||||
12.7279 | + | 12.7279i | 0.532181 | + | 0.532181i | |||||
−9.89949 | + | 9.89949i | −0.413557 | + | 0.413557i | |||||
8.00000 | 0.333914 | |||||||||
16.9706 | − | 16.9706i | 0.707721 | − | 0.707721i | |||||
1.00000i | 0.0416667i | |||||||||
30.0000 | 1.24892 | 0.624458 | − | 0.781058i | ||||||
0.624458 | + | 0.781058i | ||||||||
0 | 0 | |||||||||
−9.00000 | −0.374027 | |||||||||
7.00000i | 0.290659i | |||||||||
−33.9411 | + | 33.9411i | −1.40812 | + | 1.40812i | |||||
−3.00000 | −0.124354 | |||||||||
−27.5772 | + | 27.5772i | −1.14213 | + | 1.14213i | |||||
−4.94975 | − | 4.94975i | −0.204822 | − | 0.204822i | |||||
−4.24264 | − | 4.24264i | −0.175412 | − | 0.175412i | |||||
− | 19.0000i | − | 0.784883i | |||||||
3.00000i | 0.123823i | 0.998082 | + | 0.0619116i | ||||||
−0.998082 | + | 0.0619116i | ||||||||
−6.36396 | − | 6.36396i | −0.262445 | − | 0.262445i | |||||
8.48528 | + | 8.48528i | 0.349630 | + | 0.349630i | |||||
6.36396 | − | 6.36396i | 0.262000 | − | 0.262000i | |||||
−10.0000 | −0.411345 | |||||||||
−5.65685 | + | 5.65685i | −0.232495 | + | 0.232495i | |||||
6.00000i | 0.246390i | 0.992382 | + | 0.123195i | ||||||
−0.992382 | + | 0.123195i | ||||||||
−3.00000 | −0.123091 | |||||||||
0 | 0 | |||||||||
15.0000 | 0.614424 | |||||||||
1.00000i | 0.0409273i | |||||||||
25.4558 | − | 25.4558i | 1.04097 | − | 1.04097i | |||||
4.00000 | 0.163436 | 0.0817178 | − | 0.996656i | ||||||
0.0817178 | + | 0.996656i | ||||||||
−2.82843 | + | 2.82843i | −0.115470 | + | 0.115470i | |||||
3.53553 | + | 3.53553i | 0.144217 | + | 0.144217i | 0.775529 | − | 0.631312i | ||
−0.631312 | + | 0.775529i | ||||||||
11.3137 | + | 11.3137i | 0.461112 | + | 0.461112i | |||||
6.00000i | 0.244339i | |||||||||
9.00000i | 0.366205i | |||||||||
1.41421 | + | 1.41421i | 0.0574960 | + | 0.0574960i | |||||
−12.0208 | − | 12.0208i | −0.488312 | − | 0.488312i | |||||
9.19239 | − | 9.19239i | 0.373108 | − | 0.373108i | −0.495500 | − | 0.868608i | ||
0.868608 | + | 0.495500i | ||||||||
4.00000 | 0.162221 | |||||||||
−19.7990 | + | 19.7990i | −0.802296 | + | 0.802296i | |||||
− | 10.0000i | − | 0.404888i | |||||||
−12.0000 | −0.485468 | |||||||||
0 | 0 | |||||||||
24.0000 | 0.969351 | 0.484675 | − | 0.874694i | ||||||
0.484675 | + | 0.874694i | ||||||||
12.0000i | 0.484281i | |||||||||
−1.41421 | + | 1.41421i | −0.0570266 | + | 0.0570266i | |||||
−12.0000 | −0.483494 | |||||||||
−8.48528 | + | 8.48528i | −0.341605 | + | 0.341605i | −0.856970 | − | 0.515366i | ||
0.515366 | + | 0.856970i | ||||||||
−9.19239 | − | 9.19239i | −0.369772 | − | 0.369772i | |||||
7.07107 | + | 7.07107i | 0.284210 | + | 0.284210i | 0.834786 | − | 0.550575i | ||
−0.550575 | + | 0.834786i | ||||||||
− | 3.00000i | − | 0.120483i | |||||||
6.00000i | 0.240772i | |||||||||
0 | 0 | |||||||||
−11.3137 | − | 11.3137i | −0.453274 | − | 0.453274i | |||||
−4.24264 | + | 4.24264i | −0.169842 | + | 0.169842i | |||||
−11.0000 | −0.440000 | |||||||||
−9.89949 | + | 9.89949i | −0.395663 | + | 0.395663i | |||||
12.0000i | 0.479234i | |||||||||
12.0000 | 0.478852 | |||||||||
0 | 0 | |||||||||
4.00000 | 0.159364 | |||||||||
− | 25.0000i | − | 0.995234i | −0.867397 | − | 0.497617i | ||||
0.867397 | − | 0.497617i | ||||||||
−3.53553 | + | 3.53553i | −0.140636 | + | 0.140636i | |||||
8.00000 | 0.317971 | |||||||||
−1.41421 | + | 1.41421i | −0.0561656 | + | 0.0561656i | |||||
−11.3137 | − | 11.3137i | −0.448971 | − | 0.448971i | |||||
−9.19239 | − | 9.19239i | −0.364502 | − | 0.364502i | |||||
− | 54.0000i | − | 2.13956i | |||||||
21.0000i | 0.831398i | |||||||||
−8.48528 | − | 8.48528i | −0.335673 | − | 0.335673i | |||||
−0.707107 | − | 0.707107i | −0.0279508 | − | 0.0279508i | |||||
11.3137 | − | 11.3137i | 0.446865 | − | 0.446865i | −0.447446 | − | 0.894311i | ||
0.894311 | + | 0.447446i | ||||||||
−15.0000 | −0.592003 | |||||||||
26.8701 | − | 26.8701i | 1.05965 | − | 1.05965i | 0.0615475 | − | 0.998104i | ||
0.998104 | − | 0.0615475i | ||||||||
24.0000i | 0.945732i | |||||||||
−4.00000 | −0.157500 | |||||||||
0 | 0 | |||||||||
4.00000 | 0.157256 | 0.0786281 | − | 0.996904i | ||||||
0.0786281 | + | 0.996904i | ||||||||
− | 1.00000i | − | 0.0392837i | |||||||
19.0919 | − | 19.0919i | 0.749422 | − | 0.749422i | |||||
−24.0000 | −0.941357 | |||||||||
8.48528 | − | 8.48528i | 0.332564 | − | 0.332564i | |||||
−4.24264 | − | 4.24264i | −0.166155 | − | 0.166155i | |||||
−15.5563 | − | 15.5563i | −0.608767 | − | 0.608767i | 0.333857 | − | 0.942624i | ||
−0.942624 | + | 0.333857i | ||||||||
− | 10.0000i | − | 0.391031i | |||||||
20.0000i | 0.781465i | |||||||||
1.41421 | + | 1.41421i | 0.0552158 | + | 0.0552158i | |||||
4.94975 | + | 4.94975i | 0.193108 | + | 0.193108i | |||||
5.65685 | − | 5.65685i | 0.220527 | − | 0.220527i | |||||
3.00000 | 0.116863 | 0.0584317 | − | 0.998291i | ||||||
0.0584317 | + | 0.998291i | ||||||||
2.12132 | − | 2.12132i | 0.0825723 | − | 0.0825723i | |||||
22.0000i | 0.855701i | 0.903850 | + | 0.427850i | ||||||
−0.903850 | + | 0.427850i | ||||||||
22.0000 | 0.855054 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.465690 | |||||||||
− | 16.0000i | − | 0.620453i | |||||||
5.65685 | − | 5.65685i | 0.219199 | − | 0.219199i | |||||
42.0000 | 1.62625 | |||||||||
−5.65685 | + | 5.65685i | −0.218870 | + | 0.218870i | |||||
12.0208 | + | 12.0208i | 0.464752 | + | 0.464752i | |||||
−4.24264 | − | 4.24264i | −0.163908 | − | 0.163908i | |||||
− | 30.0000i | − | 1.15814i | |||||||
− | 4.00000i | − | 0.154303i | |||||||
24.0416 | + | 24.0416i | 0.926737 | + | 0.926737i | 0.997494 | − | 0.0707568i | ||
−0.0707568 | + | 0.997494i | ||||||||
21.2132 | + | 21.2132i | 0.817102 | + | 0.817102i | |||||
2.82843 | − | 2.82843i | 0.108866 | − | 0.108866i | |||||
−23.0000 | −0.884615 | |||||||||
15.5563 | − | 15.5563i | 0.597879 | − | 0.597879i | −0.341869 | − | 0.939748i | ||
0.939748 | + | 0.341869i | ||||||||
− | 10.0000i | − | 0.384048i | |||||||
12.0000 | 0.460518 | |||||||||
0 | 0 | |||||||||
20.0000 | 0.766402 | |||||||||
− | 9.00000i | − | 0.344628i | |||||||
−19.0919 | + | 19.0919i | −0.730531 | + | 0.730531i | −0.970725 | − | 0.240194i | ||
0.240194 | + | 0.970725i | ||||||||
−4.00000 | −0.152944 | |||||||||
−8.48528 | + | 8.48528i | −0.324206 | + | 0.324206i | |||||
5.65685 | + | 5.65685i | 0.215980 | + | 0.215980i | |||||
9.89949 | + | 9.89949i | 0.377689 | + | 0.377689i | |||||
4.00000i | 0.152499i | |||||||||
− | 78.0000i | − | 2.97156i | |||||||
−4.24264 | − | 4.24264i | −0.161515 | − | 0.161515i | |||||
5.65685 | + | 5.65685i | 0.215197 | + | 0.215197i | 0.806471 | − | 0.591274i | ||
−0.591274 | + | 0.806471i | ||||||||
−9.19239 | + | 9.19239i | −0.349442 | + | 0.349442i | |||||
12.0000 | 0.455842 | |||||||||
12.0208 | − | 12.0208i | 0.456304 | − | 0.456304i | |||||
− | 8.00000i | − | 0.303457i | |||||||
−7.00000 | −0.265334 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.454207 | |||||||||
− | 24.0000i | − | 0.907763i | |||||||
11.3137 | − | 11.3137i | 0.427618 | − | 0.427618i | |||||
15.0000 | 0.566542 | 0.283271 | − | 0.959040i | ||||||
0.283271 | + | 0.959040i | ||||||||
4.24264 | − | 4.24264i | 0.160128 | − | 0.160128i | |||||
−22.6274 | − | 22.6274i | −0.853409 | − | 0.853409i | |||||
−2.12132 | − | 2.12132i | −0.0799503 | − | 0.0799503i | |||||
2.00000i | 0.0753244i | |||||||||
− | 4.00000i | − | 0.150542i | |||||||
48.0833 | + | 48.0833i | 1.80836 | + | 1.80836i | |||||
6.36396 | + | 6.36396i | 0.239172 | + | 0.239172i | |||||
5.65685 | − | 5.65685i | 0.212448 | − | 0.212448i | −0.592859 | − | 0.805306i | ||
0.805306 | + | 0.592859i | ||||||||
12.0000 | 0.450352 | |||||||||
3.53553 | − | 3.53553i | 0.132593 | − | 0.132593i | |||||
− | 4.00000i | − | 0.149906i | |||||||
−18.0000 | −0.674105 | |||||||||
0 | 0 | |||||||||
18.0000 | 0.673162 | |||||||||
0 | 0 | |||||||||
−18.3848 | + | 18.3848i | −0.686592 | + | 0.686592i | |||||
−30.0000 | −1.11959 | |||||||||
8.48528 | − | 8.48528i | 0.316448 | − | 0.316448i | −0.530953 | − | 0.847401i | ||
0.847401 | + | 0.530953i | ||||||||
0.707107 | + | 0.707107i | 0.0263523 | + | 0.0263523i | |||||
36.7696 | + | 36.7696i | 1.36937 | + | 1.36937i | |||||
− | 3.00000i | − | 0.111648i | |||||||
15.0000i | 0.557856i | |||||||||
7.07107 | + | 7.07107i | 0.262794 | + | 0.262794i | |||||
−19.7990 | − | 19.7990i | −0.735316 | − | 0.735316i | |||||
−1.41421 | + | 1.41421i | −0.0524864 | + | 0.0524864i | |||||
41.0000 | 1.52061 | 0.760303 | − | 0.649569i | ||||||
0.760303 | + | 0.649569i | ||||||||
16.9706 | − | 16.9706i | 0.628971 | − | 0.628971i | |||||
1.00000i | 0.0370370i | |||||||||
−7.00000 | −0.259082 | |||||||||
0 | 0 | |||||||||
10.0000 | 0.369611 | |||||||||
− | 12.0000i | − | 0.443230i | −0.975134 | − | 0.221615i | ||||
0.975134 | − | 0.221615i | ||||||||
−12.0208 | + | 12.0208i | −0.443696 | + | 0.443696i | |||||
−9.00000 | −0.331970 | |||||||||
−4.24264 | + | 4.24264i | −0.156386 | + | 0.156386i | |||||
−12.7279 | − | 12.7279i | −0.468839 | − | 0.468839i | |||||
−1.41421 | − | 1.41421i | −0.0520579 | − | 0.0520579i | |||||
− | 6.00000i | − | 0.220714i | −0.993892 | − | 0.110357i | ||||
0.993892 | − | 0.110357i | ||||||||
8.00000i | 0.294086i | |||||||||
−16.9706 | − | 16.9706i | −0.623429 | − | 0.623429i | |||||
36.7696 | + | 36.7696i | 1.34985 | + | 1.34985i | |||||
−7.07107 | + | 7.07107i | −0.259412 | + | 0.259412i | −0.824815 | − | 0.565403i | ||
0.565403 | + | 0.824815i | ||||||||
3.00000 | 0.109985 | |||||||||
10.6066 | − | 10.6066i | 0.388596 | − | 0.388596i | |||||
32.0000i | 1.17160i | |||||||||
12.0000 | 0.439057 | |||||||||
0 | 0 | |||||||||
60.0000 | 2.19235 | |||||||||
9.00000i | 0.328634i | |||||||||
−24.7487 | + | 24.7487i | −0.903094 | + | 0.903094i | −0.995703 | − | 0.0926084i | ||
0.0926084 | + | 0.995703i | ||||||||
2.00000 | 0.0729325 | |||||||||
10.6066 | − | 10.6066i | 0.386526 | − | 0.386526i | |||||
−29.6985 | − | 29.6985i | −1.08156 | − | 1.08156i | |||||
6.36396 | + | 6.36396i | 0.231608 | + | 0.231608i | |||||
4.00000i | 0.145479i | |||||||||
− | 38.0000i | − | 1.38113i | −0.723269 | − | 0.690567i | ||||
0.723269 | − | 0.690567i | ||||||||
7.07107 | + | 7.07107i | 0.256833 | + | 0.256833i | |||||
−12.7279 | − | 12.7279i | −0.461994 | − | 0.461994i | |||||
2.82843 | − | 2.82843i | 0.102598 | − | 0.102598i | |||||
−34.0000 | −1.23250 | −0.616250 | − | 0.787551i | ||||||
−0.616250 | + | 0.787551i | ||||||||
11.3137 | − | 11.3137i | 0.409852 | − | 0.409852i | |||||
40.0000i | 1.44810i | |||||||||
14.0000 | 0.506502 | |||||||||
0 | 0 | |||||||||
2.00000 | 0.0722629 | |||||||||
54.0000i | 1.94983i | |||||||||
0.707107 | − | 0.707107i | 0.0255155 | − | 0.0255155i | |||||
55.0000 | 1.98335 | 0.991675 | − | 0.128763i | ||||||
0.991675 | + | 0.128763i | ||||||||
−8.48528 | + | 8.48528i | −0.305788 | + | 0.305788i | |||||
0 | 0 | |||||||||
6.36396 | + | 6.36396i | 0.229044 | + | 0.229044i | |||||
51.0000i | 1.83434i | 0.398493 | + | 0.917171i | ||||||
−0.398493 | + | 0.917171i | ||||||||
− | 4.00000i | − | 0.143777i | |||||||
8.48528 | + | 8.48528i | 0.304800 | + | 0.304800i | |||||
2.12132 | + | 2.12132i | 0.0761510 | + | 0.0761510i | |||||
−22.6274 | + | 22.6274i | −0.811754 | + | 0.811754i | |||||
−5.00000 | −0.179259 | |||||||||
−5.65685 | + | 5.65685i | −0.202678 | + | 0.202678i | |||||
6.00000i | 0.214834i | |||||||||
36.0000 | 1.28818 | |||||||||
0 | 0 | |||||||||
7.00000 | 0.250160 | |||||||||
9.00000i | 0.321429i | |||||||||
8.48528 | − | 8.48528i | 0.302853 | − | 0.302853i | |||||
−20.0000 | −0.713376 | |||||||||
16.9706 | − | 16.9706i | 0.604935 | − | 0.604935i | −0.336683 | − | 0.941618i | ||
0.941618 | + | 0.336683i | ||||||||
7.07107 | + | 7.07107i | 0.251896 | + | 0.251896i | |||||
12.7279 | + | 12.7279i | 0.453126 | + | 0.453126i | |||||
5.00000i | 0.177892i | |||||||||
40.0000i | 1.42224i | |||||||||
2.12132 | + | 2.12132i | 0.0753778 | + | 0.0753778i | |||||
42.4264 | + | 42.4264i | 1.50661 | + | 1.50661i | |||||
15.5563 | − | 15.5563i | 0.552074 | − | 0.552074i | |||||
−13.0000 | −0.461062 | |||||||||
0.707107 | − | 0.707107i | 0.0250627 | − | 0.0250627i | |||||
− | 14.0000i | − | 0.495905i | −0.968772 | − | 0.247953i | ||||
0.968772 | − | 0.247953i | ||||||||
16.0000 | 0.566394 | |||||||||
0 | 0 | |||||||||
4.00000 | 0.141421 | |||||||||
4.00000i | 0.141333i | |||||||||
−8.48528 | + | 8.48528i | −0.299626 | + | 0.299626i | |||||
−21.0000 | −0.741074 | |||||||||
4.24264 | − | 4.24264i | 0.149626 | − | 0.149626i | |||||
16.9706 | + | 16.9706i | 0.598134 | + | 0.598134i | |||||
12.7279 | + | 12.7279i | 0.448322 | + | 0.448322i | |||||
9.00000i | 0.316815i | |||||||||
17.0000i | 0.598058i | |||||||||
−31.1127 | − | 31.1127i | −1.09386 | − | 1.09386i | −0.995112 | − | 0.0987522i | ||
−0.0987522 | − | 0.995112i | ||||||||
−0.707107 | − | 0.707107i | −0.0248452 | − | 0.0248452i | |||||
0 | 0 | −0.707107 | − | 0.707107i | ||||||
0.707107 | + | 0.707107i | ||||||||
28.0000 | 0.982607 | |||||||||
3.53553 | − | 3.53553i | 0.123997 | − | 0.123997i | |||||
24.0000i | 0.841200i | |||||||||
−6.00000 | −0.210171 | |||||||||
0 | 0 | |||||||||
−16.0000 | −0.559769 | |||||||||
− | 19.0000i | − | 0.664319i | |||||||
−16.9706 | + | 16.9706i | −0.592999 | + | 0.592999i | |||||
2.00000 | 0.0698430 | |||||||||
21.2132 | − | 21.2132i | 0.740346 | − | 0.740346i | −0.232299 | − | 0.972645i | ||
0.972645 | + | 0.232299i | ||||||||
−8.48528 | − | 8.48528i | −0.295958 | − | 0.295958i | |||||
−27.5772 | − | 27.5772i | −0.961280 | − | 0.961280i | 0.0379983 | − | 0.999278i | ||
−0.999278 | + | 0.0379983i | ||||||||
13.0000i | 0.452876i | |||||||||
12.0000i | 0.417786i | |||||||||
−25.4558 | − | 25.4558i | −0.885722 | − | 0.885722i | |||||
3.53553 | + | 3.53553i | 0.122943 | + | 0.122943i | 0.765901 | − | 0.642958i | ||
−0.642958 | + | 0.765901i | ||||||||
4.24264 | − | 4.24264i | 0.147442 | − | 0.147442i | |||||
12.0000 | 0.416777 | 0.208389 | − | 0.978046i | ||||||
0.208389 | + | 0.978046i | ||||||||
−8.48528 | + | 8.48528i | −0.294528 | + | 0.294528i | |||||
− | 22.0000i | − | 0.763172i | |||||||
6.00000 | 0.208013 | |||||||||
0 | 0 | |||||||||
8.00000 | 0.277017 | |||||||||
8.00000i | 0.276851i | |||||||||
8.48528 | − | 8.48528i | 0.293470 | − | 0.293470i | |||||
−3.00000 | −0.103695 | |||||||||
2.12132 | − | 2.12132i | 0.0732798 | − | 0.0732798i | |||||
−21.2132 | − | 21.2132i | −0.732361 | − | 0.732361i | 0.238726 | − | 0.971087i | ||
−0.971087 | + | 0.238726i | ||||||||
−2.82843 | − | 2.82843i | −0.0975900 | − | 0.0975900i | |||||
− | 20.0000i | − | 0.689655i | |||||||
22.0000i | 0.758170i | |||||||||
0 | 0 | |||||||||
−5.65685 | − | 5.65685i | −0.194717 | − | 0.194717i | |||||
−16.2635 | + | 16.2635i | −0.559480 | + | 0.559480i | |||||
−2.00000 | −0.0687614 | |||||||||
5.65685 | − | 5.65685i | 0.194372 | − | 0.194372i | |||||
13.0000i | 0.446422i | |||||||||
4.00000 | 0.137280 | |||||||||
0 | 0 | |||||||||
48.0000 | 1.64542 | |||||||||
12.0000i | 0.411113i | |||||||||
−22.6274 | + | 22.6274i | −0.774748 | + | 0.774748i | −0.978932 | − | 0.204184i | ||
0.204184 | + | 0.978932i | ||||||||
−40.0000 | −1.36877 | |||||||||
−2.82843 | + | 2.82843i | −0.0967302 | + | 0.0967302i | |||||
10.6066 | + | 10.6066i | 0.362526 | + | 0.362526i | |||||
35.3553 | + | 35.3553i | 1.20772 | + | 1.20772i | 0.971765 | + | 0.235950i | ||
0.235950 | + | 0.971765i | ||||||||
18.0000i | 0.614510i | |||||||||
40.0000i | 1.36478i | 0.730987 | + | 0.682391i | ||||||
−0.730987 | + | 0.682391i | ||||||||
2.82843 | + | 2.82843i | 0.0964486 | + | 0.0964486i | |||||
5.65685 | + | 5.65685i | 0.192785 | + | 0.192785i | |||||
7.07107 | − | 7.07107i | 0.240842 | − | 0.240842i | |||||
30.0000 | 1.02121 | 0.510606 | − | 0.859815i | ||||||
0.510606 | + | 0.859815i | ||||||||
−0.707107 | + | 0.707107i | −0.0240563 | + | 0.0240563i | |||||
13.0000i | 0.442013i | |||||||||
3.00000 | 0.101944 | |||||||||
0 | 0 | |||||||||
−12.0000 | −0.407307 | |||||||||
15.0000i | 0.508840i | |||||||||
−4.94975 | + | 4.94975i | −0.167812 | + | 0.167812i | |||||
36.0000 | 1.21981 | |||||||||
−7.07107 | + | 7.07107i | −0.239457 | + | 0.239457i | |||||
−2.12132 | − | 2.12132i | −0.0717958 | − | 0.0717958i | |||||
−16.9706 | − | 16.9706i | −0.574038 | − | 0.574038i | |||||
− | 36.0000i | − | 1.21702i | |||||||
− | 7.00000i | − | 0.236508i | |||||||
12.7279 | + | 12.7279i | 0.429791 | + | 0.429791i | 0.888557 | − | 0.458766i | ||
−0.458766 | + | 0.888557i | ||||||||
−19.7990 | − | 19.7990i | −0.668184 | − | 0.668184i | |||||
13.4350 | − | 13.4350i | 0.453152 | − | 0.453152i | |||||
−3.00000 | −0.101130 | |||||||||
32.5269 | − | 32.5269i | 1.09586 | − | 1.09586i | 0.100970 | − | 0.994889i | ||
0.994889 | − | 0.100970i | ||||||||
− | 9.00000i | − | 0.303046i | |||||||
2.00000 | 0.0673054 | 0.0336527 | − | 0.999434i | ||||||
0.0336527 | + | 0.999434i | ||||||||
0 | 0 | |||||||||
9.00000 | 0.302532 | |||||||||
12.0000i | 0.403148i | |||||||||
−25.4558 | + | 25.4558i | −0.854724 | + | 0.854724i | −0.990711 | − | 0.135987i | ||
0.135987 | + | 0.990711i | ||||||||
−8.00000 | −0.268462 | |||||||||
−45.2548 | + | 45.2548i | −1.51780 | + | 1.51780i | |||||
−2.82843 | − | 2.82843i | −0.0948091 | − | 0.0948091i | |||||
−2.12132 | − | 2.12132i | −0.0710669 | − | 0.0710669i | |||||
− | 17.0000i | − | 0.569202i | |||||||
8.00000i | 0.267710i | |||||||||
10.6066 | + | 10.6066i | 0.354738 | + | 0.354738i | |||||
0 | 0 | |||||||||
−2.82843 | + | 2.82843i | −0.0944911 | + | 0.0944911i | |||||
36.0000 | 1.20201 | |||||||||
2.82843 | − | 2.82843i | 0.0943858 | − | 0.0943858i | |||||
21.0000i | 0.700389i | |||||||||
−4.00000 | −0.133333 | |||||||||
0 | 0 | |||||||||
6.00000 | 0.199778 | |||||||||
16.0000i | 0.532447i | |||||||||
−7.07107 | + | 7.07107i | −0.235180 | + | 0.235180i | |||||
10.0000 | 0.332411 | |||||||||
−6.36396 | + | 6.36396i | −0.211428 | + | 0.211428i | |||||
38.1838 | + | 38.1838i | 1.26787 | + | 1.26787i | 0.947186 | + | 0.320685i | ||
0.320685 | + | 0.947186i | ||||||||
−14.1421 | − | 14.1421i | −0.469323 | − | 0.469323i | |||||
− | 17.0000i | − | 0.563854i | |||||||
− | 24.0000i | − | 0.795592i | |||||||
−15.5563 | − | 15.5563i | −0.515405 | − | 0.515405i | 0.400773 | − | 0.916178i | ||
−0.916178 | + | 0.400773i | ||||||||
2.82843 | + | 2.82843i | 0.0936586 | + | 0.0936586i | |||||
−25.4558 | + | 25.4558i | −0.842465 | + | 0.842465i | |||||
−17.0000 | −0.562310 | |||||||||
7.07107 | − | 7.07107i | 0.233762 | − | 0.233762i | |||||
− | 14.0000i | − | 0.462573i | |||||||
80.0000 | 2.64183 | |||||||||
0 | 0 | |||||||||
16.0000 | 0.527791 | 0.263896 | − | 0.964551i | ||||||
0.263896 | + | 0.964551i | ||||||||
6.00000i | 0.197814i | |||||||||
−8.48528 | + | 8.48528i | −0.279600 | + | 0.279600i | |||||
35.0000 | 1.15266 | |||||||||
−50.9117 | + | 50.9117i | −1.67578 | + | 1.67578i | |||||
−8.48528 | − | 8.48528i | −0.279145 | − | 0.279145i | |||||
−22.6274 | − | 22.6274i | −0.743985 | − | 0.743985i | |||||
5.00000i | 0.164310i | |||||||||
− | 13.0000i | − | 0.426976i | |||||||
4.94975 | + | 4.94975i | 0.162483 | + | 0.162483i | |||||
−5.65685 | − | 5.65685i | −0.185595 | − | 0.185595i | 0.608193 | − | 0.793789i | ||
−0.793789 | + | 0.608193i | ||||||||
2.12132 | − | 2.12132i | 0.0695608 | − | 0.0695608i | |||||
−36.0000 | −1.17985 | |||||||||
−16.9706 | + | 16.9706i | −0.555889 | + | 0.555889i | |||||
0 | 0 | |||||||||
3.00000 | 0.0981630 | |||||||||
0 | 0 | |||||||||
−6.00000 | −0.196116 | |||||||||
19.0000i | 0.620703i | 0.950622 | + | 0.310351i | ||||||
−0.950622 | + | 0.310351i | ||||||||
−16.9706 | + | 16.9706i | −0.554109 | + | 0.554109i | |||||
−14.0000 | −0.456873 | |||||||||
1.41421 | − | 1.41421i | 0.0461266 | − | 0.0461266i | |||||
21.2132 | + | 21.2132i | 0.691531 | + | 0.691531i | 0.962569 | − | 0.271038i | ||
−0.271038 | + | 0.962569i | ||||||||
8.48528 | + | 8.48528i | 0.276465 | + | 0.276465i | |||||
− | 12.0000i | − | 0.390774i | |||||||
− | 9.00000i | − | 0.292925i | |||||||
2.82843 | + | 2.82843i | 0.0920087 | + | 0.0920087i | |||||
8.48528 | + | 8.48528i | 0.275880 | + | 0.275880i | |||||
−2.12132 | + | 2.12132i | −0.0689336 | + | 0.0689336i | −0.740733 | − | 0.671799i | ||
0.671799 | + | 0.740733i | ||||||||
−5.00000 | −0.162392 | |||||||||
29.6985 | − | 29.6985i | 0.964054 | − | 0.964054i | |||||
16.0000i | 0.519109i | |||||||||
−2.00000 | −0.0648544 | |||||||||
0 | 0 | |||||||||
4.00000 | 0.129573 | 0.0647864 | − | 0.997899i | ||||||
0.0647864 | + | 0.997899i | ||||||||
− | 13.0000i | − | 0.420891i | |||||||
9.89949 | − | 9.89949i | 0.320340 | − | 0.320340i | |||||
26.0000 | 0.840900 | |||||||||
−14.8492 | + | 14.8492i | −0.480008 | + | 0.480008i | |||||
−9.89949 | − | 9.89949i | −0.319838 | − | 0.319838i | |||||
33.9411 | + | 33.9411i | 1.09602 | + | 1.09602i | |||||
− | 1.00000i | − | 0.0322749i | |||||||
22.0000i | 0.709677i | |||||||||
−33.9411 | − | 33.9411i | −1.09431 | − | 1.09431i | |||||
−10.6066 | − | 10.6066i | −0.341793 | − | 0.341793i | |||||
10.6066 | − | 10.6066i | 0.341616 | − | 0.341616i | |||||
9.00000 | 0.289720 | |||||||||
−16.9706 | + | 16.9706i | −0.546019 | + | 0.546019i | |||||
13.0000i | 0.418052i | 0.977910 | + | 0.209026i | ||||||
−0.977910 | + | 0.209026i | ||||||||
2.00000 | 0.0642824 | |||||||||
0 | 0 | |||||||||
3.00000 | 0.0963242 | |||||||||
− | 19.0000i | − | 0.609739i | −0.952394 | − | 0.304870i | ||||
0.952394 | − | 0.304870i | ||||||||
0.707107 | − | 0.707107i | 0.0226805 | − | 0.0226805i | |||||
−32.0000 | −1.02587 | |||||||||
−17.6777 | + | 17.6777i | −0.566429 | + | 0.566429i | |||||
−16.9706 | − | 16.9706i | −0.543493 | − | 0.543493i | |||||
−7.07107 | − | 7.07107i | −0.226339 | − | 0.226339i | |||||
16.0000i | 0.511885i | 0.966692 | + | 0.255943i | ||||||
−0.966692 | + | 0.255943i | ||||||||
− | 6.00000i | − | 0.191859i | |||||||
−8.48528 | − | 8.48528i | −0.271191 | − | 0.271191i | |||||
6.36396 | + | 6.36396i | 0.203289 | + | 0.203289i | |||||
7.07107 | − | 7.07107i | 0.225762 | − | 0.225762i | |||||
−23.0000 | −0.733959 | |||||||||
9.89949 | − | 9.89949i | 0.315745 | − | 0.315745i | −0.531385 | − | 0.847130i | ||
0.847130 | + | 0.531385i | ||||||||
2.00000i | 0.0637577i | |||||||||
10.0000 | 0.318626 | |||||||||
0 | 0 | |||||||||
8.00000 | 0.254643 | |||||||||
24.0000i | 0.763542i | |||||||||
16.9706 | − | 16.9706i | 0.539633 | − | 0.539633i | |||||
3.00000 | 0.0953463 | |||||||||
−2.82843 | + | 2.82843i | −0.0898479 | + | 0.0898479i | −0.750602 | − | 0.660754i | ||
0.660754 | + | 0.750602i | ||||||||
−2.12132 | − | 2.12132i | −0.0673520 | − | 0.0673520i | |||||
15.5563 | + | 15.5563i | 0.493666 | + | 0.493666i | |||||
− | 48.0000i | − | 1.52247i | |||||||
− | 1.00000i | − | 0.0317021i | |||||||
−8.48528 | − | 8.48528i | −0.268866 | − | 0.268866i | |||||
−15.5563 | − | 15.5563i | −0.492675 | − | 0.492675i | 0.416473 | − | 0.909148i | ||
−0.909148 | + | 0.416473i | ||||||||
−5.65685 | + | 5.65685i | −0.179065 | + | 0.179065i | |||||
8.00000 | 0.253109 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1734.2.f.a.1483.2 | 4 | ||
17.2 | even | 8 | 1734.2.b.g.577.1 | 2 | |||
17.4 | even | 4 | inner | 1734.2.f.a.829.1 | 4 | ||
17.8 | even | 8 | 1734.2.a.a.1.1 | ✓ | 1 | ||
17.9 | even | 8 | 1734.2.a.g.1.1 | yes | 1 | ||
17.13 | even | 4 | inner | 1734.2.f.a.829.2 | 4 | ||
17.15 | even | 8 | 1734.2.b.g.577.2 | 2 | |||
17.16 | even | 2 | inner | 1734.2.f.a.1483.1 | 4 | ||
51.8 | odd | 8 | 5202.2.a.m.1.1 | 1 | |||
51.26 | odd | 8 | 5202.2.a.i.1.1 | 1 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1734.2.a.a.1.1 | ✓ | 1 | 17.8 | even | 8 | ||
1734.2.a.g.1.1 | yes | 1 | 17.9 | even | 8 | ||
1734.2.b.g.577.1 | 2 | 17.2 | even | 8 | |||
1734.2.b.g.577.2 | 2 | 17.15 | even | 8 | |||
1734.2.f.a.829.1 | 4 | 17.4 | even | 4 | inner | ||
1734.2.f.a.829.2 | 4 | 17.13 | even | 4 | inner | ||
1734.2.f.a.1483.1 | 4 | 17.16 | even | 2 | inner | ||
1734.2.f.a.1483.2 | 4 | 1.1 | even | 1 | trivial | ||
5202.2.a.i.1.1 | 1 | 51.26 | odd | 8 | |||
5202.2.a.m.1.1 | 1 | 51.8 | odd | 8 |