Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [2646,2,Mod(883,2646)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(2646, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("2646.883");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 2646.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: | no (minimal twist has level 882) |
Sato-Tate group: |
Embedding invariants
Embedding label | 1765.1 | ||
Root | of defining polynomial | ||
Character | 2646.1765 | ||
Dual form | 2646.2.f.r.883.1 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | |||||
−1.93185 | + | 3.34607i | −0.863950 | + | 1.49641i | 0.00413535 | + | 0.999991i | ||
−0.868086 | + | 0.496414i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.353553 | |||||||||
0 | 0 | |||||||||
−3.86370 | −1.22181 | |||||||||
−1.86603 | − | 3.23205i | −0.562628 | − | 0.974500i | −0.997266 | − | 0.0738948i | ||
0.434638 | − | 0.900605i | ||||||||
0 | 0 | |||||||||
3.34607 | − | 5.79555i | 0.928032 | − | 1.60740i | 0.141420 | − | 0.989950i | ||
0.786612 | − | 0.617448i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | |||||
5.41662 | 1.31372 | 0.656861 | − | 0.754011i | ||||||
0.656861 | + | 0.754011i | ||||||||
0 | 0 | |||||||||
2.96713 | 0.680706 | 0.340353 | − | 0.940298i | ||||||
0.340353 | + | 0.940298i | ||||||||
−1.93185 | − | 3.34607i | −0.431975 | − | 0.748203i | |||||
0 | 0 | |||||||||
1.86603 | − | 3.23205i | 0.397838 | − | 0.689076i | |||||
−0.732051 | + | 1.26795i | −0.152643 | + | 0.264386i | −0.932198 | − | 0.361948i | ||
0.779555 | + | 0.626334i | ||||||||
0 | 0 | |||||||||
−4.96410 | − | 8.59808i | −0.992820 | − | 1.71962i | |||||
6.69213 | 1.31243 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.371391 | − | 0.643268i | 0.618389 | − | 0.785872i | ||
−0.989780 | + | 0.142605i | ||||||||
0 | 0 | |||||||||
0.896575 | − | 1.55291i | 0.161030 | − | 0.278912i | −0.774209 | − | 0.632931i | ||
0.935238 | + | 0.354019i | ||||||||
0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | |||||
0 | 0 | |||||||||
2.70831 | + | 4.69093i | 0.464471 | + | 0.804488i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.535898 | 0.0881012 | 0.0440506 | − | 0.999029i | ||||||
0.0440506 | + | 0.999029i | ||||||||
1.48356 | + | 2.56961i | 0.240666 | + | 0.416845i | |||||
0 | 0 | |||||||||
1.93185 | − | 3.34607i | 0.305453 | − | 0.529059i | |||||
0.637756 | − | 1.10463i | 0.0996008 | − | 0.172514i | −0.811919 | − | 0.583771i | ||
0.911519 | + | 0.411257i | ||||||||
0 | 0 | |||||||||
−1.86603 | − | 3.23205i | −0.284566 | − | 0.492883i | 0.687938 | − | 0.725770i | ||
−0.972504 | + | 0.232887i | ||||||||
3.73205 | 0.562628 | |||||||||
0 | 0 | |||||||||
−1.46410 | −0.215870 | |||||||||
−5.27792 | − | 9.14162i | −0.769863 | − | 1.33344i | −0.937637 | − | 0.347617i | ||
0.167773 | − | 0.985826i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.96410 | − | 8.59808i | 0.702030 | − | 1.21595i | |||||
0 | 0 | |||||||||
3.34607 | + | 5.79555i | 0.464016 | + | 0.803699i | |||||
2.92820 | 0.402220 | 0.201110 | − | 0.979569i | ||||||
0.201110 | + | 0.979569i | ||||||||
0 | 0 | |||||||||
14.4195 | 1.94433 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.00000 | − | 3.46410i | 0.262613 | − | 0.454859i | |||||
4.31199 | − | 7.46859i | 0.561373 | − | 0.972327i | −0.436004 | − | 0.899945i | ||
0.997377 | − | 0.0723823i | ||||||||
0 | 0 | |||||||||
3.48477 | + | 6.03579i | 0.446179 | + | 0.772804i | 0.998133 | − | 0.0610700i | ||
−0.551955 | + | 0.833874i | ||||||||
1.79315 | 0.227730 | |||||||||
0 | 0 | |||||||||
1.00000 | 0.125000 | |||||||||
12.9282 | + | 22.3923i | 1.60355 | + | 2.77742i | |||||
0 | 0 | |||||||||
−2.76795 | + | 4.79423i | −0.338159 | + | 0.585708i | −0.984086 | − | 0.177690i | ||
0.645928 | + | 0.763399i | ||||||||
−2.70831 | + | 4.69093i | −0.328431 | + | 0.568859i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.53590 | −0.300956 | −0.150478 | − | 0.988613i | ||||||
−0.150478 | + | 0.988613i | ||||||||
0 | 0 | |||||||||
6.83083 | 0.799488 | 0.399744 | − | 0.916627i | ||||||
0.399744 | + | 0.916627i | ||||||||
0.267949 | + | 0.464102i | 0.0311485 | + | 0.0539507i | |||||
0 | 0 | |||||||||
−1.48356 | + | 2.56961i | −0.170176 | + | 0.294754i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.46410 | + | 4.26795i | 0.277233 | + | 0.480182i | 0.970696 | − | 0.240310i | ||
−0.693463 | + | 0.720492i | ||||||||
3.86370 | 0.431975 | |||||||||
0 | 0 | |||||||||
1.27551 | 0.140857 | |||||||||
8.95215 | + | 15.5056i | 0.982626 | + | 1.70196i | 0.652043 | + | 0.758182i | ||
0.330583 | + | 0.943777i | ||||||||
0 | 0 | |||||||||
−10.4641 | + | 18.1244i | −1.13499 | + | 1.96586i | |||||
1.86603 | − | 3.23205i | 0.201219 | − | 0.348521i | |||||
0 | 0 | |||||||||
1.86603 | + | 3.23205i | 0.198919 | + | 0.344538i | |||||
7.07107 | 0.749532 | 0.374766 | − | 0.927119i | ||||||
0.374766 | + | 0.927119i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.732051 | − | 1.26795i | −0.0763216 | − | 0.132193i | |||||
0 | 0 | |||||||||
5.27792 | − | 9.14162i | 0.544376 | − | 0.942886i | |||||
−5.73205 | + | 9.92820i | −0.588096 | + | 1.01861i | |||||
0 | 0 | |||||||||
−2.94855 | − | 5.10703i | −0.299379 | − | 0.518540i | 0.676615 | − | 0.736337i | ||
−0.975994 | + | 0.217797i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.92820 | 0.992820 | |||||||||
−2.44949 | − | 4.24264i | −0.243733 | − | 0.422159i | 0.718041 | − | 0.696000i | ||
−0.961775 | + | 0.273842i | ||||||||
0 | 0 | |||||||||
3.72500 | − | 6.45189i | 0.367035 | − | 0.635724i | −0.622065 | − | 0.782965i | ||
0.989101 | + | 0.147241i | ||||||||
−3.34607 | + | 5.79555i | −0.328109 | + | 0.568301i | |||||
0 | 0 | |||||||||
1.46410 | + | 2.53590i | 0.142206 | + | 0.246308i | |||||
−3.39230 | −0.327946 | −0.163973 | − | 0.986465i | ||||||
−0.163973 | + | 0.986465i | ||||||||
0 | 0 | |||||||||
−8.92820 | −0.855167 | −0.427583 | − | 0.903976i | ||||||
−0.427583 | + | 0.903976i | ||||||||
7.20977 | + | 12.4877i | 0.687424 | + | 1.19065i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.46410 | − | 6.00000i | 0.325875 | − | 0.564433i | −0.655814 | − | 0.754923i | ||
0.981689 | + | 0.190490i | ||||||||
0 | 0 | |||||||||
−2.82843 | − | 4.89898i | −0.263752 | − | 0.456832i | |||||
4.00000 | 0.371391 | |||||||||
0 | 0 | |||||||||
8.62398 | 0.793902 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.46410 | + | 2.53590i | −0.133100 | + | 0.230536i | |||||
−3.48477 | + | 6.03579i | −0.315496 | + | 0.546455i | |||||
0 | 0 | |||||||||
0.896575 | + | 1.55291i | 0.0805149 | + | 0.139456i | |||||
19.0411 | 1.70309 | |||||||||
0 | 0 | |||||||||
6.53590 | 0.579967 | 0.289984 | − | 0.957032i | ||||||
0.289984 | + | 0.957032i | ||||||||
0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | |||||
0 | 0 | |||||||||
−12.9282 | + | 22.3923i | −1.13388 | + | 1.96394i | |||||
−3.01790 | + | 5.22715i | −0.263675 | + | 0.456698i | −0.967216 | − | 0.253957i | ||
0.703541 | + | 0.710655i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.53590 | −0.478229 | |||||||||
0 | 0 | |||||||||
−5.41662 | −0.464471 | |||||||||
−4.33013 | − | 7.50000i | −0.369948 | − | 0.640768i | 0.619609 | − | 0.784910i | ||
−0.989557 | + | 0.144142i | ||||||||
0 | 0 | |||||||||
−8.17569 | + | 14.1607i | −0.693453 | + | 1.20110i | 0.277246 | + | 0.960799i | ||
−0.970699 | + | 0.240297i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.26795 | − | 2.19615i | −0.106404 | − | 0.184297i | |||||
−24.9754 | −2.08855 | |||||||||
0 | 0 | |||||||||
15.4548 | 1.28345 | |||||||||
3.41542 | + | 5.91567i | 0.282662 | + | 0.489585i | |||||
0 | 0 | |||||||||
−0.267949 | + | 0.464102i | −0.0220253 | + | 0.0381489i | |||||
4.53590 | − | 7.85641i | 0.371595 | − | 0.643622i | −0.618216 | − | 0.786008i | ||
0.989811 | + | 0.142386i | ||||||||
0 | 0 | |||||||||
1.19615 | + | 2.07180i | 0.0973415 | + | 0.168600i | 0.910583 | − | 0.413325i | ||
−0.813242 | + | 0.581926i | ||||||||
−2.96713 | −0.240666 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.46410 | + | 6.00000i | 0.278243 | + | 0.481932i | |||||
0 | 0 | |||||||||
2.31079 | − | 4.00240i | 0.184421 | − | 0.319427i | −0.758960 | − | 0.651137i | ||
0.943381 | + | 0.331710i | ||||||||
−2.46410 | + | 4.26795i | −0.196033 | + | 0.339540i | |||||
0 | 0 | |||||||||
1.93185 | + | 3.34607i | 0.152726 | + | 0.264530i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
21.3205 | 1.66995 | 0.834976 | − | 0.550287i | ||||||
0.834976 | + | 0.550287i | ||||||||
0.637756 | + | 1.10463i | 0.0498004 | + | 0.0862568i | |||||
0 | 0 | |||||||||
−8.95215 | + | 15.5056i | −0.694822 | + | 1.20347i | |||||
−10.5558 | + | 18.2832i | −0.816835 | + | 1.41480i | 0.0911679 | + | 0.995836i | ||
−0.908003 | + | 0.418964i | ||||||||
0 | 0 | |||||||||
−15.8923 | − | 27.5263i | −1.22248 | − | 2.11741i | |||||
−20.9282 | −1.60512 | |||||||||
0 | 0 | |||||||||
3.73205 | 0.284566 | |||||||||
−0.896575 | − | 1.55291i | −0.0681654 | − | 0.118066i | 0.829928 | − | 0.557870i | ||
−0.898094 | + | 0.439804i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.86603 | + | 3.23205i | −0.140657 | + | 0.243625i | |||||
0 | 0 | |||||||||
3.53553 | + | 6.12372i | 0.264999 | + | 0.458993i | |||||
−18.9282 | −1.41476 | −0.707380 | − | 0.706833i | ||||||
−0.707380 | + | 0.706833i | ||||||||
0 | 0 | |||||||||
16.9706 | 1.26141 | 0.630706 | − | 0.776022i | ||||||
0.630706 | + | 0.776022i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.732051 | − | 1.26795i | 0.0539675 | − | 0.0934745i | |||||
−1.03528 | + | 1.79315i | −0.0761150 | + | 0.131835i | |||||
0 | 0 | |||||||||
−10.1075 | − | 17.5068i | −0.739137 | − | 1.28022i | |||||
10.5558 | 0.769863 | |||||||||
0 | 0 | |||||||||
−11.4641 | −0.831693 | |||||||||
0.535898 | + | 0.928203i | 0.0387762 | + | 0.0671624i | 0.884762 | − | 0.466043i | ||
−0.845986 | + | 0.533205i | ||||||||
0 | 0 | |||||||||
11.5263 | − | 19.9641i | 0.829680 | − | 1.43705i | −0.0686098 | − | 0.997644i | ||
0.898290 | − | 0.439404i | ||||||||
2.94855 | − | 5.10703i | 0.211693 | − | 0.366663i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.07180 | 0.218856 | 0.109428 | − | 0.993995i | ||||||
0.109428 | + | 0.993995i | ||||||||
0 | 0 | |||||||||
17.8028 | 1.26200 | 0.631002 | − | 0.775781i | ||||||
0.631002 | + | 0.775781i | ||||||||
4.96410 | + | 8.59808i | 0.351015 | + | 0.607976i | |||||
0 | 0 | |||||||||
2.44949 | − | 4.24264i | 0.172345 | − | 0.298511i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.46410 | + | 4.26795i | 0.172100 | + | 0.298087i | |||||
7.45001 | 0.519066 | |||||||||
0 | 0 | |||||||||
−6.69213 | −0.464016 | |||||||||
−5.53674 | − | 9.58991i | −0.382984 | − | 0.663348i | |||||
0 | 0 | |||||||||
−2.53590 | + | 4.39230i | −0.174578 | + | 0.302379i | −0.940015 | − | 0.341132i | ||
0.765437 | + | 0.643511i | ||||||||
−1.46410 | + | 2.53590i | −0.100555 | + | 0.174166i | |||||
0 | 0 | |||||||||
−1.69615 | − | 2.93782i | −0.115947 | − | 0.200825i | |||||
14.4195 | 0.983404 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.46410 | − | 7.73205i | −0.302347 | − | 0.523681i | |||||
0 | 0 | |||||||||
−7.20977 | + | 12.4877i | −0.486082 | + | 0.841920i | |||||
18.1244 | − | 31.3923i | 1.21918 | − | 2.11167i | |||||
0 | 0 | |||||||||
−13.3843 | − | 23.1822i | −0.896276 | − | 1.55240i | −0.832217 | − | 0.554450i | ||
−0.0640595 | − | 0.997946i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.92820 | 0.460857 | |||||||||
5.25933 | + | 9.10943i | 0.349074 | + | 0.604614i | 0.986085 | − | 0.166240i | ||
−0.637011 | + | 0.770855i | ||||||||
0 | 0 | |||||||||
12.4877 | − | 21.6293i | 0.825209 | − | 1.42930i | −0.0765496 | − | 0.997066i | ||
0.901759 | − | 0.432239i | ||||||||
2.82843 | − | 4.89898i | 0.186501 | − | 0.323029i | |||||
0 | 0 | |||||||||
2.00000 | + | 3.46410i | 0.131306 | + | 0.227429i | |||||
24.1244 | 1.58044 | 0.790220 | − | 0.612824i | ||||||
0.790220 | + | 0.612824i | ||||||||
0 | 0 | |||||||||
40.7846 | 2.66049 | |||||||||
4.31199 | + | 7.46859i | 0.280687 | + | 0.486164i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−6.46410 | + | 11.1962i | −0.418128 | + | 0.724219i | −0.995751 | − | 0.0920846i | ||
0.577623 | + | 0.816304i | ||||||||
0 | 0 | |||||||||
11.7112 | + | 20.2844i | 0.754387 | + | 1.30664i | 0.945679 | + | 0.325103i | ||
−0.191292 | + | 0.981533i | ||||||||
−2.92820 | −0.188232 | |||||||||
0 | 0 | |||||||||
−6.96953 | −0.446179 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.92820 | − | 17.1962i | 0.631716 | − | 1.09416i | |||||
−0.896575 | + | 1.55291i | −0.0569326 | + | 0.0986102i | |||||
0 | 0 | |||||||||
9.52056 | + | 16.4901i | 0.602133 | + | 1.04292i | |||||
−16.3514 | −1.03209 | −0.516045 | − | 0.856561i | ||||||
−0.516045 | + | 0.856561i | ||||||||
0 | 0 | |||||||||
5.46410 | 0.343525 | |||||||||
3.26795 | + | 5.66025i | 0.205049 | + | 0.355156i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | |||||
−1.34486 | + | 2.32937i | −0.0838903 | + | 0.145302i | −0.904918 | − | 0.425586i | ||
0.821028 | + | 0.570889i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−25.8564 | −1.60355 | |||||||||
0 | 0 | |||||||||
−6.03579 | −0.372892 | |||||||||
−7.73205 | − | 13.3923i | −0.476779 | − | 0.825805i | 0.522867 | − | 0.852414i | ||
−0.999646 | + | 0.0266092i | ||||||||
0 | 0 | |||||||||
−5.65685 | + | 9.79796i | −0.347498 | + | 0.601884i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.76795 | − | 4.79423i | −0.169079 | − | 0.292854i | |||||
−5.65685 | −0.344904 | −0.172452 | − | 0.985018i | ||||||
−0.172452 | + | 0.985018i | ||||||||
0 | 0 | |||||||||
−18.0058 | −1.09378 | −0.546888 | − | 0.837206i | ||||||
−0.546888 | + | 0.837206i | ||||||||
−2.70831 | − | 4.69093i | −0.164215 | − | 0.284429i | |||||
0 | 0 | |||||||||
4.33013 | − | 7.50000i | 0.261593 | − | 0.453092i | |||||
−18.5263 | + | 32.0885i | −1.11718 | + | 1.93501i | |||||
0 | 0 | |||||||||
−12.2679 | − | 21.2487i | −0.737110 | − | 1.27671i | −0.953792 | − | 0.300469i | ||
0.216682 | − | 0.976242i | ||||||||
−16.3514 | −0.980691 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.92820 | − | 8.53590i | −0.293992 | − | 0.509209i | 0.680758 | − | 0.732508i | ||
−0.974750 | + | 0.223299i | ||||||||
0 | 0 | |||||||||
4.70951 | − | 8.15711i | 0.279951 | − | 0.484890i | −0.691421 | − | 0.722452i | ||
0.971372 | + | 0.237562i | ||||||||
1.26795 | − | 2.19615i | 0.0752389 | − | 0.130318i | |||||
0 | 0 | |||||||||
−12.4877 | − | 21.6293i | −0.738412 | − | 1.27897i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
12.3397 | 0.725867 | |||||||||
7.72741 | + | 13.3843i | 0.453769 | + | 0.785951i | |||||
0 | 0 | |||||||||
−3.41542 | + | 5.91567i | −0.199872 | + | 0.346189i | |||||
9.52056 | − | 16.4901i | 0.556197 | − | 0.963361i | −0.441612 | − | 0.897206i | ||
0.997809 | − | 0.0661554i | ||||||||
0 | 0 | |||||||||
16.6603 | + | 28.8564i | 0.969997 | + | 1.68008i | |||||
−0.535898 | −0.0311485 | |||||||||
0 | 0 | |||||||||
9.07180 | 0.525515 | |||||||||
4.89898 | + | 8.48528i | 0.283315 | + | 0.490716i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.19615 | + | 2.07180i | −0.0688308 | + | 0.119219i | |||||
0 | 0 | |||||||||
−1.48356 | − | 2.56961i | −0.0850882 | − | 0.147377i | |||||
−26.9282 | −1.54190 | |||||||||
0 | 0 | |||||||||
11.0735 | 0.631996 | 0.315998 | − | 0.948760i | ||||||
0.315998 | + | 0.948760i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.46410 | + | 6.00000i | −0.196748 | + | 0.340777i | |||||
6.17449 | − | 10.6945i | 0.350123 | − | 0.606431i | −0.636147 | − | 0.771568i | ||
0.986271 | + | 0.165136i | ||||||||
0 | 0 | |||||||||
11.7112 | + | 20.2844i | 0.661958 | + | 1.14654i | 0.980101 | + | 0.198502i | ||
−0.318143 | + | 0.948043i | ||||||||
4.62158 | 0.260811 | |||||||||
0 | 0 | |||||||||
−4.92820 | −0.277233 | |||||||||
−13.0000 | − | 22.5167i | −0.730153 | − | 1.26466i | −0.956818 | − | 0.290689i | ||
0.226665 | − | 0.973973i | ||||||||
0 | 0 | |||||||||
−7.46410 | + | 12.9282i | −0.417909 | + | 0.723840i | |||||
−1.93185 | + | 3.34607i | −0.107994 | + | 0.187051i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
16.0718 | 0.894259 | |||||||||
0 | 0 | |||||||||
−66.4408 | −3.68547 | |||||||||
10.6603 | + | 18.4641i | 0.590417 | + | 1.02263i | |||||
0 | 0 | |||||||||
−0.637756 | + | 1.10463i | −0.0352142 | + | 0.0609928i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.26795 | + | 3.92820i | 0.124658 | + | 0.215914i | 0.921599 | − | 0.388143i | ||
−0.796941 | + | 0.604057i | ||||||||
−17.9043 | −0.982626 | |||||||||
0 | 0 | |||||||||
−21.1117 | −1.15518 | |||||||||
−10.6945 | − | 18.5235i | −0.584305 | − | 1.01205i | |||||
0 | 0 | |||||||||
3.50000 | − | 6.06218i | 0.190657 | − | 0.330228i | −0.754811 | − | 0.655942i | ||
0.945468 | + | 0.325714i | ||||||||
15.8923 | − | 27.5263i | 0.864427 | − | 1.49723i | |||||
0 | 0 | |||||||||
−10.4641 | − | 18.1244i | −0.567496 | − | 0.982931i | |||||
−6.69213 | −0.362399 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.86603 | + | 3.23205i | 0.100609 | + | 0.174261i | |||||
0 | 0 | |||||||||
0.896575 | − | 1.55291i | 0.0482002 | − | 0.0834852i | |||||
10.7942 | − | 18.6962i | 0.579465 | − | 1.00366i | −0.416076 | − | 0.909330i | ||
0.995541 | − | 0.0943323i | ||||||||
0 | 0 | |||||||||
8.24504 | + | 14.2808i | 0.441347 | + | 0.764436i | 0.997790 | − | 0.0664504i | ||
−0.556443 | + | 0.830886i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.73205 | −0.198919 | |||||||||
13.2134 | + | 22.8862i | 0.703277 | + | 1.21811i | 0.967310 | + | 0.253598i | ||
−0.264033 | + | 0.964514i | ||||||||
0 | 0 | |||||||||
4.89898 | − | 8.48528i | 0.260011 | − | 0.450352i | |||||
−3.53553 | + | 6.12372i | −0.187383 | + | 0.324557i | |||||
0 | 0 | |||||||||
−9.46410 | − | 16.3923i | −0.500193 | − | 0.866360i | |||||
−0.535898 | −0.0282836 | −0.0141418 | − | 0.999900i | ||||||
−0.0141418 | + | 0.999900i | ||||||||
0 | 0 | |||||||||
−10.1962 | −0.536640 | |||||||||
8.48528 | + | 14.6969i | 0.445976 | + | 0.772454i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−13.1962 | + | 22.8564i | −0.690718 | + | 1.19636i | |||||
0 | 0 | |||||||||
−7.86611 | − | 13.6245i | −0.410607 | − | 0.711193i | 0.584349 | − | 0.811503i | ||
−0.994956 | + | 0.100310i | ||||||||
1.46410 | 0.0763216 | |||||||||
0 | 0 | |||||||||
−2.07055 | −0.107643 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−15.3923 | + | 26.6603i | −0.796983 | + | 1.38042i | 0.124589 | + | 0.992208i | ||
−0.921572 | + | 0.388207i | ||||||||
10.1075 | − | 17.5068i | 0.522649 | − | 0.905254i | |||||
0 | 0 | |||||||||
5.27792 | + | 9.14162i | 0.272188 | + | 0.471443i | |||||
−26.7685 | −1.37865 | |||||||||
0 | 0 | |||||||||
−17.5885 | −0.903458 | −0.451729 | − | 0.892155i | ||||||
−0.451729 | + | 0.892155i | ||||||||
−5.73205 | − | 9.92820i | −0.294048 | − | 0.509306i | |||||
0 | 0 | |||||||||
−0.535898 | + | 0.928203i | −0.0274189 | + | 0.0474910i | |||||
10.8332 | − | 18.7637i | 0.553552 | − | 0.958781i | −0.444462 | − | 0.895798i | ||
0.998015 | − | 0.0629833i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
23.0526 | 1.17334 | |||||||||
0 | 0 | |||||||||
5.89709 | 0.299379 | |||||||||
4.00000 | + | 6.92820i | 0.202808 | + | 0.351274i | 0.949432 | − | 0.313972i | ||
−0.746624 | + | 0.665246i | ||||||||
0 | 0 | |||||||||
−3.96524 | + | 6.86800i | −0.200531 | + | 0.347329i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.53590 | + | 2.66025i | 0.0773774 | + | 0.134022i | |||||
−19.0411 | −0.958062 | |||||||||
0 | 0 | |||||||||
−18.0058 | −0.903687 | −0.451844 | − | 0.892097i | ||||||
−0.451844 | + | 0.892097i | ||||||||
8.90138 | + | 15.4176i | 0.446186 | + | 0.772817i | |||||
0 | 0 | |||||||||
−4.96410 | + | 8.59808i | −0.248205 | + | 0.429904i | |||||
8.89230 | − | 15.4019i | 0.444061 | − | 0.769135i | −0.553926 | − | 0.832566i | ||
0.997986 | + | 0.0634307i | ||||||||
0 | 0 | |||||||||
−6.00000 | − | 10.3923i | −0.298881 | − | 0.517678i | |||||
4.89898 | 0.243733 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.00000 | − | 1.73205i | −0.0495682 | − | 0.0858546i | |||||
0 | 0 | |||||||||
8.36516 | − | 14.4889i | 0.413631 | − | 0.716429i | −0.581653 | − | 0.813437i | ||
0.995284 | + | 0.0970077i | ||||||||
−2.46410 | + | 4.26795i | −0.121693 | + | 0.210779i | |||||
0 | 0 | |||||||||
3.72500 | + | 6.45189i | 0.183518 | + | 0.317862i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−69.1769 | −3.39576 | |||||||||
−3.34607 | − | 5.79555i | −0.164054 | − | 0.284150i | |||||
0 | 0 | |||||||||
5.53674 | − | 9.58991i | 0.270811 | − | 0.469058i | |||||
3.95164 | − | 6.84443i | 0.193050 | − | 0.334373i | −0.753209 | − | 0.657781i | ||
0.946260 | + | 0.323408i | ||||||||
0 | 0 | |||||||||
−14.1962 | − | 24.5885i | −0.691878 | − | 1.19837i | −0.971222 | − | 0.238177i | ||
0.279344 | − | 0.960191i | ||||||||
−5.07180 | −0.246891 | |||||||||
0 | 0 | |||||||||
−2.92820 | −0.142206 | |||||||||
−26.8886 | − | 46.5725i | −1.30429 | − | 2.25910i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.69615 | − | 2.93782i | 0.0819866 | − | 0.142005i | |||||
0 | 0 | |||||||||
7.20977 | + | 12.4877i | 0.347686 | + | 0.602210i | |||||
37.8564 | 1.82348 | 0.911739 | − | 0.410769i | ||||||
0.911739 | + | 0.410769i | ||||||||
0 | 0 | |||||||||
−7.10823 | −0.341600 | −0.170800 | − | 0.985306i | ||||||
−0.170800 | + | 0.985306i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.46410 | − | 7.73205i | 0.213792 | − | 0.370298i | |||||
−2.17209 | + | 3.76217i | −0.103905 | + | 0.179969i | |||||
0 | 0 | |||||||||
−9.79796 | − | 16.9706i | −0.467631 | − | 0.809961i | 0.531685 | − | 0.846942i | ||
−0.999316 | + | 0.0369815i | ||||||||
−14.4195 | −0.687424 | |||||||||
0 | 0 | |||||||||
36.2487 | 1.72418 | |||||||||
−9.16025 | − | 15.8660i | −0.435217 | − | 0.753818i | 0.562097 | − | 0.827072i | ||
−0.997313 | + | 0.0732540i | ||||||||
0 | 0 | |||||||||
−13.6603 | + | 23.6603i | −0.647558 | + | 1.12160i | |||||
13.3843 | − | 23.1822i | 0.633763 | − | 1.09771i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
17.7846 | 0.839308 | 0.419654 | − | 0.907684i | ||||||
0.419654 | + | 0.907684i | ||||||||
0 | 0 | |||||||||
−4.76028 | −0.224153 | |||||||||
3.46410 | + | 6.00000i | 0.162938 | + | 0.282216i | |||||
0 | 0 | |||||||||
−5.25933 | + | 9.10943i | −0.246833 | + | 0.427527i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.52628 | − | 6.10770i | −0.164952 | − | 0.285706i | 0.771686 | − | 0.636004i | ||
−0.936638 | + | 0.350298i | ||||||||
24.9754 | 1.16702 | |||||||||
0 | 0 | |||||||||
5.65685 | 0.263752 | |||||||||
12.8666 | + | 22.2856i | 0.599258 | + | 1.03795i | 0.992931 | + | 0.118695i | ||
−0.393672 | + | 0.919251i | ||||||||
0 | 0 | |||||||||
−19.3205 | + | 33.4641i | −0.897900 | + | 1.55521i | −0.0677264 | + | 0.997704i | ||
−0.830174 | + | 0.557505i | ||||||||
−2.00000 | + | 3.46410i | −0.0928477 | + | 0.160817i | |||||
0 | 0 | |||||||||
12.0622 | + | 20.8923i | 0.558770 | + | 0.967817i | |||||
−27.5636 | −1.27549 | −0.637745 | − | 0.770248i | ||||||
−0.637745 | + | 0.770248i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
20.3923 | + | 35.3205i | 0.940627 | + | 1.62921i | |||||
0 | 0 | |||||||||
−4.31199 | + | 7.46859i | −0.198475 | + | 0.343770i | |||||
−6.96410 | + | 12.0622i | −0.320210 | + | 0.554620i | |||||
0 | 0 | |||||||||
−14.7291 | − | 25.5116i | −0.675819 | − | 1.17055i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.9282 | −0.591322 | |||||||||
−7.72741 | − | 13.3843i | −0.353074 | − | 0.611542i | 0.633712 | − | 0.773569i | ||
−0.986786 | + | 0.162026i | ||||||||
0 | 0 | |||||||||
1.79315 | − | 3.10583i | 0.0817606 | − | 0.141614i | |||||
−11.7112 | + | 20.2844i | −0.533432 | + | 0.923931i | |||||
0 | 0 | |||||||||
−1.46410 | − | 2.53590i | −0.0665501 | − | 0.115268i | |||||
22.7846 | 1.03460 | |||||||||
0 | 0 | |||||||||
38.7846 | 1.75750 | 0.878749 | − | 0.477284i | ||||||
0.878749 | + | 0.477284i | ||||||||
−3.48477 | − | 6.03579i | −0.157748 | − | 0.273227i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.696152 | + | 1.20577i | −0.0314169 | + | 0.0544157i | −0.881306 | − | 0.472545i | ||
0.849889 | + | 0.526961i | ||||||||
0 | 0 | |||||||||
−10.8332 | − | 18.7637i | −0.487904 | − | 0.845075i | |||||
19.8564 | 0.893382 | |||||||||
0 | 0 | |||||||||
−1.79315 | −0.0805149 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−6.30385 | + | 10.9186i | −0.282199 | + | 0.488783i | −0.971926 | − | 0.235286i | ||
0.689727 | + | 0.724069i | ||||||||
−9.52056 | + | 16.4901i | −0.425772 | + | 0.737459i | |||||
0 | 0 | |||||||||
−8.17569 | − | 14.1607i | −0.364899 | − | 0.632024i | |||||
−7.45001 | −0.332179 | −0.166090 | − | 0.986111i | ||||||
−0.166090 | + | 0.986111i | ||||||||
0 | 0 | |||||||||
18.9282 | 0.842294 | |||||||||
2.73205 | + | 4.73205i | 0.121454 | + | 0.210365i | |||||
0 | 0 | |||||||||
−3.26795 | + | 5.66025i | −0.144992 | + | 0.251133i | |||||
−13.2456 | + | 22.9420i | −0.587099 | + | 1.01689i | 0.407511 | + | 0.913200i | ||
−0.994610 | + | 0.103685i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.00000 | −0.0441942 | |||||||||
0 | 0 | |||||||||
−2.68973 | −0.118639 | |||||||||
14.3923 | + | 24.9282i | 0.634201 | + | 1.09847i | |||||
0 | 0 | |||||||||
−19.6975 | + | 34.1170i | −0.866293 | + | 1.50046i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.9282 | − | 22.3923i | −0.566939 | − | 0.981968i | |||||
32.3610 | 1.41776 | 0.708881 | − | 0.705328i | ||||||
0.708881 | + | 0.705328i | ||||||||
0 | 0 | |||||||||
3.76217 | 0.164508 | 0.0822540 | − | 0.996611i | ||||||
0.0822540 | + | 0.996611i | ||||||||
−3.01790 | − | 5.22715i | −0.131837 | − | 0.228349i | |||||
0 | 0 | |||||||||
7.73205 | − | 13.3923i | 0.337133 | − | 0.583932i | |||||
4.85641 | − | 8.41154i | 0.211548 | − | 0.366413i | |||||
0 | 0 | |||||||||
10.4282 | + | 18.0622i | 0.453400 | + | 0.785312i | |||||
−11.3137 | −0.491436 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.26795 | − | 7.39230i | −0.184865 | − | 0.320196i | |||||
0 | 0 | |||||||||
6.55343 | − | 11.3509i | 0.283329 | − | 0.490741i | |||||
2.76795 | − | 4.79423i | 0.119557 | − | 0.207079i | |||||
0 | 0 | |||||||||
−2.82843 | − | 4.89898i | −0.121942 | − | 0.211210i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−19.3205 | −0.830654 | −0.415327 | − | 0.909672i | ||||||
−0.415327 | + | 0.909672i | ||||||||
−9.00292 | − | 15.5935i | −0.386709 | − | 0.669799i | |||||
0 | 0 | |||||||||
2.70831 | − | 4.69093i | 0.116118 | − | 0.201122i | |||||
17.2480 | − | 29.8744i | 0.738822 | − | 1.27968i | |||||
0 | 0 | |||||||||
19.1865 | + | 33.2321i | 0.820357 | + | 1.42090i | 0.905417 | + | 0.424524i | ||
−0.0850597 | + | 0.996376i | ||||||||
8.66025 | 0.369948 | |||||||||
0 | 0 | |||||||||
−37.0526 | −1.57993 | |||||||||
−5.93426 | − | 10.2784i | −0.252808 | − | 0.437876i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
12.2679 | − | 21.2487i | 0.521215 | − | 0.902771i | |||||
0 | 0 | |||||||||
−8.17569 | − | 14.1607i | −0.346727 | − | 0.600548i | |||||
−6.92820 | −0.293557 | −0.146779 | − | 0.989169i | ||||||
−0.146779 | + | 0.989169i | ||||||||
0 | 0 | |||||||||
−24.9754 | −1.05635 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.92820 | − | 8.53590i | 0.207884 | − | 0.360065i | |||||
12.7973 | − | 22.1655i | 0.539341 | − | 0.934166i | −0.459599 | − | 0.888127i | ||
0.998940 | − | 0.0460390i | ||||||||
0 | 0 | |||||||||
13.3843 | + | 23.1822i | 0.563080 | + | 0.975283i | |||||
9.41902 | 0.395911 | |||||||||
0 | 0 | |||||||||
2.53590 | 0.106404 | |||||||||
7.89230 | + | 13.6699i | 0.330863 | + | 0.573071i | 0.982681 | − | 0.185304i | ||
−0.651819 | + | 0.758375i | ||||||||
0 | 0 | |||||||||
−2.52628 | + | 4.37564i | −0.105722 | + | 0.183115i | −0.914033 | − | 0.405640i | ||
0.808311 | + | 0.588755i | ||||||||
12.4877 | − | 21.6293i | 0.522136 | − | 0.904367i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
14.5359 | 0.606189 | |||||||||
0 | 0 | |||||||||
44.6357 | 1.85821 | 0.929103 | − | 0.369820i | ||||||
0.929103 | + | 0.369820i | ||||||||
6.16987 | + | 10.6865i | 0.256633 | + | 0.444501i | |||||
0 | 0 | |||||||||
−7.72741 | + | 13.3843i | −0.320863 | + | 0.555751i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.46410 | − | 9.46410i | −0.226300 | − | 0.391963i | |||||
−6.83083 | −0.282662 | |||||||||
0 | 0 | |||||||||
19.0411 | 0.786581 | |||||||||
−14.5768 | − | 25.2478i | −0.601650 | − | 1.04209i | −0.992571 | − | 0.121664i | ||
0.390922 | − | 0.920424i | ||||||||
0 | 0 | |||||||||
2.66025 | − | 4.60770i | 0.109614 | − | 0.189857i | |||||
−16.6603 | + | 28.8564i | −0.685892 | + | 1.18800i | |||||
0 | 0 | |||||||||
−0.267949 | − | 0.464102i | −0.0110126 | − | 0.0190745i | |||||
−2.72689 | −0.111980 | −0.0559900 | − | 0.998431i | ||||||
−0.0559900 | + | 0.998431i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.53590 | + | 7.85641i | 0.185798 | + | 0.321811i | |||||
0 | 0 | |||||||||
−4.89898 | + | 8.48528i | −0.200334 | + | 0.346989i | |||||
−18.3923 | + | 31.8564i | −0.751489 | + | 1.30162i | 0.195612 | + | 0.980681i | ||
−0.947101 | + | 0.320936i | ||||||||
0 | 0 | |||||||||
−0.448288 | − | 0.776457i | −0.0182860 | − | 0.0316723i | 0.856738 | − | 0.515753i | ||
−0.875024 | + | 0.484080i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.39230 | −0.0973415 | |||||||||
−5.65685 | − | 9.79796i | −0.229984 | − | 0.398344i | |||||
0 | 0 | |||||||||
−15.8338 | + | 27.4249i | −0.642672 | + | 1.11314i | 0.342162 | + | 0.939641i | ||
−0.984834 | + | 0.173500i | ||||||||
1.48356 | − | 2.56961i | 0.0601665 | − | 0.104211i | |||||
0 | 0 | |||||||||
−13.4641 | − | 23.3205i | −0.545146 | − | 0.944220i | |||||
−70.6410 | −2.85783 | |||||||||
0 | 0 | |||||||||
11.0718 | 0.447186 | 0.223593 | − | 0.974683i | ||||||
0.223593 | + | 0.974683i | ||||||||
5.53674 | + | 9.58991i | 0.223444 | + | 0.387017i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−15.4282 | + | 26.7224i | −0.621116 | + | 1.07580i | 0.368162 | + | 0.929762i | ||
−0.989278 | + | 0.146043i | ||||||||
0 | 0 | |||||||||
12.3168 | + | 21.3333i | 0.495054 | + | 0.857459i | 0.999984 | − | 0.00570182i | ||
−0.504930 | + | 0.863160i | ||||||||
−6.92820 | −0.278243 | |||||||||
0 | 0 | |||||||||
12.3490 | 0.495149 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.9641 | + | 20.7224i | −0.478564 | + | 0.828897i | |||||
−11.7112 | + | 20.2844i | −0.468075 | + | 0.810729i | |||||
0 | 0 | |||||||||
2.31079 | + | 4.00240i | 0.0922105 | + | 0.159713i | |||||
2.90276 | 0.115740 | |||||||||
0 | 0 | |||||||||
35.7128 | 1.42170 | 0.710852 | − | 0.703341i | ||||||
0.710852 | + | 0.703341i | ||||||||
−2.46410 | − | 4.26795i | −0.0980167 | − | 0.169770i | |||||
0 | 0 | |||||||||
13.0000 | − | 22.5167i | 0.516296 | − | 0.894251i | |||||
−12.6264 | + | 21.8695i | −0.501063 | + | 0.867866i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−14.9282 | −0.591013 | |||||||||
0 | 0 | |||||||||
−3.86370 | −0.152726 | |||||||||
8.96410 | + | 15.5263i | 0.354061 | + | 0.613251i | 0.986957 | − | 0.160986i | ||
−0.632896 | + | 0.774237i | ||||||||
0 | 0 | |||||||||
−6.53485 | + | 11.3187i | −0.257709 | + | 0.446365i | −0.965628 | − | 0.259929i | ||
0.707919 | + | 0.706294i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8.03590 | + | 13.9186i | 0.316168 | + | 0.547619i | |||||
12.0716 | 0.474583 | 0.237291 | − | 0.971439i | ||||||
0.237291 | + | 0.971439i | ||||||||
0 | 0 | |||||||||
−32.1851 | −1.26338 | |||||||||
−33.2204 | − | 57.5394i | −1.30301 | − | 2.25688i | |||||
0 | 0 | |||||||||
−10.6603 | + | 18.4641i | −0.417488 | + | 0.723110i | |||||
3.00000 | − | 5.19615i | 0.117399 | − | 0.203341i | −0.801337 | − | 0.598213i | ||
0.918736 | + | 0.394872i | ||||||||
0 | 0 | |||||||||
−11.6603 | − | 20.1962i | −0.455604 | − | 0.789129i | |||||
−1.27551 | −0.0498004 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.124356 | + | 0.215390i | 0.00484421 | + | 0.00839042i | 0.868437 | − | 0.495799i | ||
−0.863593 | + | 0.504189i | ||||||||
0 | 0 | |||||||||
0 | 0 | −0.866025 | − | 0.500000i | ||||||
0.866025 | + | 0.500000i | ||||||||
−2.26795 | + | 3.92820i | −0.0881463 | + | 0.152674i | |||||
0 | 0 | |||||||||
−8.95215 | − | 15.5056i | −0.347411 | − | 0.601733i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.85641 | 0.226761 | |||||||||
−10.5558 | − | 18.2832i | −0.408417 | − | 0.707400i | |||||
0 | 0 | |||||||||
10.6945 | − | 18.5235i | 0.413166 | − | 0.715624i | |||||
13.0053 | − | 22.5259i | 0.502065 | − | 0.869602i | |||||
0 | 0 | |||||||||
20.7846 | + | 36.0000i | 0.801188 | + | 1.38770i | 0.918835 | + | 0.394643i | ||
−0.117647 | + | 0.993055i | ||||||||
7.00000 | 0.269630 | |||||||||
0 | 0 | |||||||||
31.7846 | 1.22248 | |||||||||
10.0382 | + | 17.3867i | 0.385799 | + | 0.668224i | 0.991880 | − | 0.127179i | ||
−0.606081 | + | 0.795403i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.4641 | − | 18.1244i | 0.401280 | − | 0.695037i | |||||
0 | 0 | |||||||||
−3.34607 | − | 5.79555i | −0.128127 | − | 0.221923i | |||||
3.67949 | 0.140792 | 0.0703959 | − | 0.997519i | ||||||
0.0703959 | + | 0.997519i | ||||||||
0 | 0 | |||||||||
33.4607 | 1.27847 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.86603 | + | 3.23205i | −0.0711416 | + | 0.123221i | |||||
9.79796 | − | 16.9706i | 0.373273 | − | 0.646527i | |||||
0 | 0 | |||||||||
4.81105 | + | 8.33298i | 0.183021 | + | 0.317001i | 0.942908 | − | 0.333054i | ||
−0.759887 | + | 0.650055i | ||||||||
1.79315 | 0.0681654 | |||||||||
0 | 0 | |||||||||
21.5885 | 0.819487 | |||||||||
−31.5885 | − | 54.7128i | −1.19822 | − | 2.07538i | |||||
0 | 0 | |||||||||
3.45448 | − | 5.98334i | 0.130848 | − | 0.226635i | |||||
−8.24504 | + | 14.2808i | −0.312080 | + | 0.540538i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−20.7846 | −0.785024 | −0.392512 | − | 0.919747i | ||||||
−0.392512 | + | 0.919747i | ||||||||
0 | 0 | |||||||||
1.59008 | 0.0599710 | |||||||||
−1.86603 | − | 3.23205i | −0.0703285 | − | 0.121812i | |||||
0 | 0 | |||||||||
−13.2134 | + | 22.8862i | −0.497292 | + | 0.861335i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.19615 | − | 7.26795i | −0.157590 | − | 0.272954i | 0.776409 | − | 0.630229i | ||
−0.933999 | + | 0.357276i | ||||||||
9.79796 | 0.367711 | |||||||||
0 | 0 | |||||||||
−7.07107 | −0.264999 | |||||||||
1.31268 | + | 2.27362i | 0.0491602 | + | 0.0851479i | |||||
0 | 0 | |||||||||
48.2487 | − | 83.5692i | 1.80440 | − | 3.12531i | |||||
9.46410 | − | 16.3923i | 0.353690 | − | 0.612609i | |||||
0 | 0 | |||||||||
−0.267949 | − | 0.464102i | −0.00999978 | − | 0.0173201i | |||||
−15.3805 | −0.573595 | −0.286798 | − | 0.957991i | ||||||
−0.286798 | + | 0.957991i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.09808 | − | 8.83013i | −0.189731 | − | 0.328623i | |||||
0 | 0 | |||||||||
−8.48528 | + | 14.6969i | −0.315353 | + | 0.546207i | |||||
−19.8564 | + | 34.3923i | −0.737448 | + | 1.27730i | |||||
0 | 0 | |||||||||
−0.795040 | − | 1.37705i | −0.0294864 | − | 0.0510719i | 0.850906 | − | 0.525319i | ||
−0.880392 | + | 0.474247i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−26.3923 | −0.976823 | |||||||||
−10.1075 | − | 17.5068i | −0.373841 | − | 0.647512i | |||||
0 | 0 | |||||||||
−8.24504 | + | 14.2808i | −0.304538 | + | 0.527475i | −0.977158 | − | 0.212513i | ||
0.672621 | + | 0.739988i | ||||||||
7.86611 | − | 13.6245i | 0.290343 | − | 0.502889i | |||||
0 | 0 | |||||||||
0.732051 | + | 1.26795i | 0.0269838 | + | 0.0467372i | |||||
20.6603 | 0.761030 | |||||||||
0 | 0 | |||||||||
−18.1244 | −0.666715 | −0.333358 | − | 0.942800i | ||||||
−0.333358 | + | 0.942800i | ||||||||
−1.03528 | − | 1.79315i | −0.0380575 | − | 0.0659175i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
25.7846 | − | 44.6603i | 0.945946 | − | 1.63843i | 0.192099 | − | 0.981376i | ||
0.753847 | − | 0.657050i | ||||||||
0 | 0 | |||||||||
17.5254 | + | 30.3548i | 0.642080 | + | 1.11211i | |||||
−30.7846 | −1.12710 | |||||||||
0 | 0 | |||||||||
20.2151 | 0.739137 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.39230 | − | 5.87564i | 0.123787 | − | 0.214405i | −0.797471 | − | 0.603357i | ||
0.921258 | + | 0.388952i | ||||||||
−5.27792 | + | 9.14162i | −0.192466 | + | 0.333361i | |||||
0 | 0 | |||||||||
−13.3843 | − | 23.1822i | −0.487426 | − | 0.844247i | |||||
−9.24316 | −0.336393 | |||||||||
0 | 0 | |||||||||
−15.3205 | −0.556833 | −0.278417 | − | 0.960460i | ||||||
−0.278417 | + | 0.960460i | ||||||||
−8.79423 | − | 15.2321i | −0.319421 | − | 0.553253i | |||||
0 | 0 | |||||||||
5.73205 | − | 9.92820i | 0.207923 | − | 0.360134i | |||||
15.2282 | − | 26.3760i | 0.552021 | − | 0.956129i | −0.446108 | − | 0.894979i | ||
0.998129 | − | 0.0611492i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.07180 | −0.0387762 | |||||||||
0 | 0 | |||||||||
21.6665 | 0.782841 | |||||||||
−28.8564 | − | 49.9808i | −1.04194 | − | 1.80470i | |||||
0 | 0 | |||||||||
19.0919 | − | 33.0681i | 0.688471 | − | 1.19247i | −0.283862 | − | 0.958865i | ||
0.972332 | − | 0.233601i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
11.5263 | + | 19.9641i | 0.414840 | + | 0.718524i | |||||
0.203072 | 0.00730399 | 0.00365199 | − | 0.999993i | ||||||
0.00365199 | + | 0.999993i | ||||||||
0 | 0 | |||||||||
−17.8028 | −0.639494 | |||||||||
2.94855 | + | 5.10703i | 0.105847 | + | 0.183332i | |||||
0 | 0 | |||||||||
−4.00000 | + | 6.92820i | −0.143407 | + | 0.248388i | |||||
1.89230 | − | 3.27757i | 0.0677989 | − | 0.117431i | |||||
0 | 0 | |||||||||
4.73205 | + | 8.19615i | 0.169326 | + | 0.293281i | |||||
−7.93048 | −0.283593 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8.92820 | + | 15.4641i | 0.318661 | + | 0.551937i | |||||
0 | 0 | |||||||||
−23.3717 | + | 40.4810i | −0.833111 | + | 1.44299i | 0.0624487 | + | 0.998048i | ||
−0.895559 | + | 0.444942i | ||||||||
−1.53590 | + | 2.66025i | −0.0547141 | + | 0.0947676i | |||||
0 | 0 | |||||||||
−9.52056 | − | 16.4901i | −0.338726 | − | 0.586691i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
46.6410 | 1.65627 | |||||||||
−9.00292 | − | 15.5935i | −0.319502 | − | 0.553393i | |||||
0 | 0 | |||||||||
−8.90138 | + | 15.4176i | −0.315501 | + | 0.546464i | |||||
−10.4543 | + | 18.1074i | −0.370310 | + | 0.641396i | −0.989613 | − | 0.143756i | ||
0.619303 | + | 0.785152i | ||||||||
0 | 0 | |||||||||
−28.5885 | − | 49.5167i | −1.01139 | − | 1.75177i | |||||
−9.92820 | −0.351015 | |||||||||
0 | 0 | |||||||||
17.7846 | 0.627996 | |||||||||
−12.7465 | − | 22.0776i | −0.449814 | − | 0.779101i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.00000 | − | 10.3923i | 0.211341 | − | 0.366053i | |||||
0 | 0 | |||||||||
2.44949 | + | 4.24264i | 0.0861727 | + | 0.149256i | |||||
26.2679 | 0.923532 | 0.461766 | − | 0.887002i | ||||||
0.461766 | + | 0.887002i | ||||||||
0 | 0 | |||||||||
−46.1242 | −1.61964 | −0.809820 | − | 0.586679i | ||||||
−0.809820 | + | 0.586679i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.00000 | − | 1.73205i | 0.0350500 | − | 0.0607083i | |||||
−41.1881 | + | 71.3398i | −1.44275 | + | 2.49892i | |||||
0 | 0 | |||||||||
−5.53674 | − | 9.58991i | −0.193706 | − | 0.335508i | |||||
16.7303 | 0.584962 | |||||||||
0 | 0 | |||||||||
−4.92820 | −0.172100 | |||||||||
−5.19615 | − | 9.00000i | −0.181347 | − | 0.314102i | 0.760993 | − | 0.648761i | ||
−0.942339 | + | 0.334659i | ||||||||
0 | 0 | |||||||||
−15.3923 | + | 26.6603i | −0.536542 | + | 0.929318i | 0.462545 | + | 0.886596i | ||
−0.999087 | + | 0.0427222i | ||||||||
−3.72500 | + | 6.45189i | −0.129767 | + | 0.224762i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
12.0000 | 0.417281 | 0.208640 | − | 0.977992i | ||||||
0.208640 | + | 0.977992i | ||||||||
0 | 0 | |||||||||
−37.3244 | −1.29633 | −0.648164 | − | 0.761501i | ||||||
−0.648164 | + | 0.761501i | ||||||||
−34.5885 | − | 59.9090i | −1.20058 | − | 2.07947i | |||||
0 | 0 | |||||||||
3.34607 | − | 5.79555i | 0.116004 | − | 0.200925i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−40.7846 | − | 70.6410i | −1.41141 | − | 2.44463i | |||||
11.0735 | 0.382984 | |||||||||
0 | 0 | |||||||||
7.90327 | 0.273014 | |||||||||
−11.3137 | − | 19.5959i | −0.390593 | − | 0.676526i | 0.601935 | − | 0.798545i | ||
−0.992528 | + | 0.122019i | ||||||||
0 | 0 | |||||||||
6.50000 | − | 11.2583i | 0.224138 | − | 0.388218i | |||||
14.1962 | − | 24.5885i | 0.489232 | − | 0.847374i | |||||
0 | 0 | |||||||||
−2.53590 | − | 4.39230i | −0.0872892 | − | 0.151189i | |||||
122.806 | 4.22467 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.46410 | − | 2.53590i | −0.0502775 | − | 0.0870831i | |||||
0 | 0 | |||||||||
26.8886 | − | 46.5725i | 0.922273 | − | 1.59742i | |||||
−0.392305 | + | 0.679492i | −0.0134480 | + | 0.0232927i | |||||
0 | 0 | |||||||||
−8.00481 | − | 13.8647i | −0.274079 | − | 0.474719i | 0.695823 | − | 0.718213i | ||
−0.969902 | + | 0.243494i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.39230 | 0.115947 | |||||||||
−4.19187 | − | 7.26054i | −0.143192 | − | 0.248015i | 0.785505 | − | 0.618855i | ||
−0.928697 | + | 0.370840i | ||||||||
0 | 0 | |||||||||
7.36705 | − | 12.7601i | 0.251361 | − | 0.435369i | −0.712540 | − | 0.701631i | ||
0.963901 | + | 0.266262i | ||||||||
−7.20977 | + | 12.4877i | −0.245851 | + | 0.425827i | |||||
0 | 0 | |||||||||
18.9282 | + | 32.7846i | 0.644697 | + | 1.11665i | |||||
−22.1051 | −0.752467 | −0.376233 | − | 0.926525i | ||||||
−0.376233 | + | 0.926525i | ||||||||
0 | 0 | |||||||||
6.92820 | 0.235566 | |||||||||
−3.55412 | − | 6.15591i | −0.120774 | − | 0.209186i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.19615 | − | 15.9282i | 0.311958 | − | 0.540327i | |||||
0 | 0 | |||||||||
18.5235 | + | 32.0836i | 0.627644 | + | 1.08711i | |||||
8.92820 | 0.302347 | |||||||||
0 | 0 | |||||||||
−4.34418 | −0.146944 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−16.5885 | + | 28.7321i | −0.560152 | + | 0.970212i | 0.437330 | + | 0.899301i | ||
−0.997483 | + | 0.0709114i | ||||||||
9.79796 | − | 16.9706i | 0.330665 | − | 0.572729i | |||||
0 | 0 | |||||||||
−7.20977 | − | 12.4877i | −0.243041 | − | 0.420960i | |||||
−12.7279 | −0.428815 | −0.214407 | − | 0.976744i | ||||||
−0.214407 | + | 0.976744i | ||||||||
0 | 0 | |||||||||
7.53590 | 0.253603 | 0.126802 | − | 0.991928i | ||||||
0.126802 | + | 0.991928i | ||||||||
18.1244 | + | 31.3923i | 0.609588 | + | 1.05584i | |||||
0 | 0 | |||||||||
9.16025 | − | 15.8660i | 0.307745 | − | 0.533030i | |||||
−14.3824 | + | 24.9110i | −0.482913 | + | 0.836430i | −0.999808 | − | 0.0196195i | ||
0.516895 | + | 0.856049i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−27.3205 | −0.915786 | |||||||||
0 | 0 | |||||||||
26.7685 | 0.896276 | |||||||||
−15.6603 | − | 27.1244i | −0.524050 | − | 0.907682i | |||||
0 | 0 | |||||||||
36.5665 | − | 63.3350i | 1.22228 | − | 2.11706i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8.89230 | + | 15.4019i | 0.296740 | + | 0.513969i | |||||
−7.17260 | −0.239220 | |||||||||
0 | 0 | |||||||||
15.8610 | 0.528405 | |||||||||
−2.38014 | − | 4.12252i | −0.0792500 | − | 0.137265i | |||||
0 | 0 | |||||||||
−3.46410 | + | 6.00000i | −0.115214 | + | 0.199557i | |||||
−32.7846 | + | 56.7846i | −1.08980 | + | 1.88758i | |||||
0 | 0 | |||||||||
−21.6244 | − | 37.4545i | −0.718025 | − | 1.24366i | −0.961781 | − | 0.273819i | ||
0.243756 | − | 0.969837i | ||||||||
−10.5187 | −0.349074 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−23.4641 | − | 40.6410i | −0.777400 | − | 1.34650i | −0.933435 | − | 0.358745i | ||
0.156035 | − | 0.987752i | ||||||||
0 | 0 | |||||||||
33.4099 | − | 57.8676i | 1.10571 | − | 1.91514i | |||||
3.52628 | − | 6.10770i | 0.116639 | − | 0.202025i | |||||
0 | 0 | |||||||||
12.4877 | + | 21.6293i | 0.412605 | + | 0.714652i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
22.9282 | 0.756332 | 0.378166 | − | 0.925738i | ||||||
0.378166 | + | 0.925738i | ||||||||
2.82843 | + | 4.89898i | 0.0932505 | + | 0.161515i | |||||
0 | 0 | |||||||||
−12.8666 | + | 22.2856i | −0.423740 | + | 0.733939i | |||||
−8.48528 | + | 14.6969i | −0.279296 | + | 0.483756i | |||||
0 | 0 | |||||||||
−2.66025 | − | 4.60770i | −0.0874686 | − | 0.151500i | |||||
−38.6410 | −1.26982 | |||||||||
0 | 0 | |||||||||
−4.00000 | −0.131306 | |||||||||
13.9898 | + | 24.2311i | 0.458991 | + | 0.794997i | 0.998908 | − | 0.0467220i | ||
−0.539916 | + | 0.841719i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.0622 | + | 20.8923i | −0.395110 | + | 0.684350i | |||||
0 | 0 | |||||||||
−13.7818 | − | 23.8707i | −0.450954 | − | 0.781075i | |||||
78.1051 | 2.55431 | |||||||||
0 | 0 | |||||||||
9.89949 | 0.323402 | 0.161701 | − | 0.986840i | ||||||
0.161701 | + | 0.986840i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−20.3923 | + | 35.3205i | −0.665124 | + | 1.15203i | |||||
4.34418 | − | 7.52433i | 0.141616 | − | 0.245286i | −0.786489 | − | 0.617604i | ||
0.928105 | + | 0.372318i | ||||||||
0 | 0 | |||||||||
0.933740 | + | 1.61729i | 0.0304068 | + | 0.0526661i | |||||
−8.62398 | −0.280687 | |||||||||
0 | 0 | |||||||||
−13.9282 | −0.452845 | |||||||||
3.06218 | + | 5.30385i | 0.0995074 | + | 0.172352i | 0.911481 | − | 0.411342i | ||
−0.811973 | + | 0.583694i | ||||||||
0 | 0 | |||||||||
22.8564 | − | 39.5885i | 0.741950 | − | 1.28510i | |||||
14.7291 | − | 25.5116i | 0.477876 | − | 0.827705i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−19.0000 | −0.615470 | −0.307735 | − | 0.951472i | ||||||
−0.307735 | + | 0.951472i | ||||||||
0 | 0 | |||||||||
−4.14110 | −0.134003 | |||||||||
−6.46410 | − | 11.1962i | −0.209064 | − | 0.362109i | |||||
0 | 0 | |||||||||
7.72741 | − | 13.3843i | 0.249661 | − | 0.432426i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.8923 | + | 24.0622i | 0.448139 | + | 0.776199i | |||||
3.58630 | 0.115627 | |||||||||
0 | 0 | |||||||||
−23.4225 | −0.754387 | |||||||||
44.5341 | + | 77.1354i | 1.43360 | + | 2.48308i | |||||
0 | 0 | |||||||||
−17.7846 | + | 30.8038i | −0.571914 | + | 0.990585i | 0.424455 | + | 0.905449i | ||
−0.996369 | + | 0.0851359i | ||||||||
1.46410 | − | 2.53590i | 0.0470580 | − | 0.0815069i | |||||
0 | 0 | |||||||||
11.3923 | + | 19.7321i | 0.365785 | + | 0.633558i | |||||
−3.00429 | −0.0964123 | −0.0482062 | − | 0.998837i | ||||||
−0.0482062 | + | 0.998837i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
19.3923 | + | 33.5885i | 0.621370 | + | 1.07624i | |||||
0 | 0 | |||||||||
3.48477 | − | 6.03579i | 0.111545 | − | 0.193201i | |||||
−24.9904 | + | 43.2846i | −0.799513 | + | 1.38480i | 0.120420 | + | 0.992723i | ||
−0.919934 | + | 0.392074i | ||||||||
0 | 0 | |||||||||
−13.1948 | − | 22.8541i | −0.421707 | − | 0.730419i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.39230 | −0.0444302 | |||||||||
3.48477 | + | 6.03579i | 0.111147 | + | 0.192512i | 0.916233 | − | 0.400646i | ||
−0.805086 | + | 0.593158i | ||||||||
0 | 0 | |||||||||
−5.93426 | + | 10.2784i | −0.189081 | + | 0.327498i | |||||
10.8332 | − | 18.7637i | 0.345000 | − | 0.597558i | |||||
0 | 0 | |||||||||
9.92820 | + | 17.1962i | 0.315858 | + | 0.547082i | |||||
5.46410 | 0.173748 | |||||||||
0 | 0 | |||||||||
1.75129 | 0.0556315 | 0.0278158 | − | 0.999613i | ||||||
0.0278158 | + | 0.999613i | ||||||||
−0.896575 | − | 1.55291i | −0.0284663 | − | 0.0493051i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−34.3923 | + | 59.5692i | −1.09031 | + | 1.88847i | |||||
0 | 0 | |||||||||
3.24453 | + | 5.61969i | 0.102755 | + | 0.177977i | 0.912819 | − | 0.408365i | ||
−0.810064 | + | 0.586342i | ||||||||
−12.6077 | −0.399090 | |||||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 2646.2.f.r.1765.1 | 8 | ||
3.2 | odd | 2 | 882.2.f.q.589.3 | yes | 8 | ||
7.2 | even | 3 | 2646.2.h.t.361.4 | 8 | |||
7.3 | odd | 6 | 2646.2.e.q.1549.4 | 8 | |||
7.4 | even | 3 | 2646.2.e.q.1549.1 | 8 | |||
7.5 | odd | 6 | 2646.2.h.t.361.1 | 8 | |||
7.6 | odd | 2 | inner | 2646.2.f.r.1765.4 | 8 | ||
9.2 | odd | 6 | 882.2.f.q.295.3 | yes | 8 | ||
9.4 | even | 3 | 7938.2.a.ci.1.4 | 4 | |||
9.5 | odd | 6 | 7938.2.a.cp.1.1 | 4 | |||
9.7 | even | 3 | inner | 2646.2.f.r.883.1 | 8 | ||
21.2 | odd | 6 | 882.2.h.q.67.4 | 8 | |||
21.5 | even | 6 | 882.2.h.q.67.1 | 8 | |||
21.11 | odd | 6 | 882.2.e.s.373.1 | 8 | |||
21.17 | even | 6 | 882.2.e.s.373.4 | 8 | |||
21.20 | even | 2 | 882.2.f.q.589.2 | yes | 8 | ||
63.2 | odd | 6 | 882.2.e.s.655.1 | 8 | |||
63.11 | odd | 6 | 882.2.h.q.79.3 | 8 | |||
63.13 | odd | 6 | 7938.2.a.ci.1.1 | 4 | |||
63.16 | even | 3 | 2646.2.e.q.2125.1 | 8 | |||
63.20 | even | 6 | 882.2.f.q.295.2 | ✓ | 8 | ||
63.25 | even | 3 | 2646.2.h.t.667.4 | 8 | |||
63.34 | odd | 6 | inner | 2646.2.f.r.883.4 | 8 | ||
63.38 | even | 6 | 882.2.h.q.79.2 | 8 | |||
63.41 | even | 6 | 7938.2.a.cp.1.4 | 4 | |||
63.47 | even | 6 | 882.2.e.s.655.4 | 8 | |||
63.52 | odd | 6 | 2646.2.h.t.667.1 | 8 | |||
63.61 | odd | 6 | 2646.2.e.q.2125.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.e.s.373.1 | 8 | 21.11 | odd | 6 | |||
882.2.e.s.373.4 | 8 | 21.17 | even | 6 | |||
882.2.e.s.655.1 | 8 | 63.2 | odd | 6 | |||
882.2.e.s.655.4 | 8 | 63.47 | even | 6 | |||
882.2.f.q.295.2 | ✓ | 8 | 63.20 | even | 6 | ||
882.2.f.q.295.3 | yes | 8 | 9.2 | odd | 6 | ||
882.2.f.q.589.2 | yes | 8 | 21.20 | even | 2 | ||
882.2.f.q.589.3 | yes | 8 | 3.2 | odd | 2 | ||
882.2.h.q.67.1 | 8 | 21.5 | even | 6 | |||
882.2.h.q.67.4 | 8 | 21.2 | odd | 6 | |||
882.2.h.q.79.2 | 8 | 63.38 | even | 6 | |||
882.2.h.q.79.3 | 8 | 63.11 | odd | 6 | |||
2646.2.e.q.1549.1 | 8 | 7.4 | even | 3 | |||
2646.2.e.q.1549.4 | 8 | 7.3 | odd | 6 | |||
2646.2.e.q.2125.1 | 8 | 63.16 | even | 3 | |||
2646.2.e.q.2125.4 | 8 | 63.61 | odd | 6 | |||
2646.2.f.r.883.1 | 8 | 9.7 | even | 3 | inner | ||
2646.2.f.r.883.4 | 8 | 63.34 | odd | 6 | inner | ||
2646.2.f.r.1765.1 | 8 | 1.1 | even | 1 | trivial | ||
2646.2.f.r.1765.4 | 8 | 7.6 | odd | 2 | inner | ||
2646.2.h.t.361.1 | 8 | 7.5 | odd | 6 | |||
2646.2.h.t.361.4 | 8 | 7.2 | even | 3 | |||
2646.2.h.t.667.1 | 8 | 63.52 | odd | 6 | |||
2646.2.h.t.667.4 | 8 | 63.25 | even | 3 | |||
7938.2.a.ci.1.1 | 4 | 63.13 | odd | 6 | |||
7938.2.a.ci.1.4 | 4 | 9.4 | even | 3 | |||
7938.2.a.cp.1.1 | 4 | 9.5 | odd | 6 | |||
7938.2.a.cp.1.4 | 4 | 63.41 | even | 6 |