Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1323,2,Mod(442,1323)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1323, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1323.442");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 1323.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 441) |
Sato-Tate group: |
Embedding invariants
Embedding label | 442.5 | ||
Root | of defining polynomial | ||
Character | 1323.442 | ||
Dual form | 1323.2.f.g.883.5 |
-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 .
1.23025 | + | 2.13086i | 0.869920 | + | 1.50675i | 0.862078 | + | 0.506776i | ||
0.00784213 | + | 0.999969i | ||||||||
0 | 0 | |||||||||
−2.02704 | + | 3.51094i | −1.01352 | + | 1.75547i | |||||
−1.82904 | + | 3.16799i | −0.817970 | + | 1.41677i | 0.0892047 | + | 0.996013i | ||
−0.907175 | + | 0.420753i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.05408 | −1.78689 | |||||||||
0 | 0 | |||||||||
−9.00071 | −2.84628 | |||||||||
0.203210 | + | 0.351971i | 0.0612702 | + | 0.106123i | 0.895033 | − | 0.445999i | ||
−0.833763 | + | 0.552122i | ||||||||
0 | 0 | |||||||||
0.243398 | − | 0.421578i | 0.0675065 | − | 0.116925i | −0.830297 | − | 0.557322i | ||
0.897803 | + | 0.440397i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.16372 | − | 3.74766i | −0.540929 | − | 0.936916i | |||||
−4.85584 | −1.17771 | −0.588857 | − | 0.808237i | ||||||
−0.588857 | + | 0.808237i | ||||||||
0 | 0 | |||||||||
−1.97351 | −0.452755 | −0.226378 | − | 0.974040i | ||||||
−0.226378 | + | 0.974040i | ||||||||
−7.41507 | − | 12.8433i | −1.65806 | − | 2.87185i | |||||
0 | 0 | |||||||||
−0.500000 | + | 0.866025i | −0.106600 | + | 0.184637i | |||||
2.32383 | − | 4.02499i | 0.484552 | − | 0.839269i | −0.515290 | − | 0.857016i | ||
0.999843 | + | 0.0177464i | ||||||||
0 | 0 | |||||||||
−4.19076 | − | 7.25860i | −0.838151 | − | 1.45172i | |||||
1.19777 | 0.234901 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.82383 | + | 6.62307i | 0.710068 | + | 1.22987i | 0.964831 | + | 0.262870i | ||
−0.254764 | + | 0.967003i | ||||||||
0 | 0 | |||||||||
−3.51360 | + | 6.08573i | −0.631061 | + | 1.09303i | 0.356274 | + | 0.934381i | ||
−0.987335 | + | 0.158648i | ||||||||
0.269748 | − | 0.467216i | 0.0476851 | − | 0.0825930i | |||||
0 | 0 | |||||||||
−5.97391 | − | 10.3471i | −1.02452 | − | 1.77452i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2.32743 | 0.382627 | 0.191314 | − | 0.981529i | ||||||
0.191314 | + | 0.981529i | ||||||||
−2.42792 | − | 4.20528i | −0.393861 | − | 0.682187i | |||||
0 | 0 | |||||||||
9.24411 | − | 16.0113i | 1.46162 | − | 2.53160i | |||||
3.75700 | − | 6.50731i | 0.586744 | − | 1.01627i | −0.407911 | − | 0.913022i | ||
0.994655 | − | 0.103249i | ||||||||
0 | 0 | |||||||||
1.16372 | + | 2.01561i | 0.177465 | + | 0.307378i | 0.941012 | − | 0.338374i | ||
−0.763547 | + | 0.645753i | ||||||||
−1.64766 | −0.248395 | |||||||||
0 | 0 | |||||||||
11.4356 | 1.68609 | |||||||||
−3.15811 | − | 5.47002i | −0.460658 | − | 0.797884i | 0.538335 | − | 0.842731i | ||
−0.998994 | + | 0.0448469i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.3114 | − | 17.8598i | 1.45825 | − | 2.52576i | |||||
0 | 0 | |||||||||
0.986757 | + | 1.70911i | 0.136839 | + | 0.237011i | |||||
3.56867 | 0.490195 | 0.245097 | − | 0.969498i | ||||||
0.245097 | + | 0.969498i | ||||||||
0 | 0 | |||||||||
−1.48672 | −0.200469 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9.40856 | + | 16.2961i | −1.23540 | + | 2.13978i | |||||
3.05919 | − | 5.29868i | 0.398273 | − | 0.689829i | −0.595240 | − | 0.803548i | ||
0.993513 | + | 0.113719i | ||||||||
0 | 0 | |||||||||
4.01356 | + | 6.95169i | 0.513884 | + | 0.890073i | 0.999870 | + | 0.0161063i | ||
−0.485987 | + | 0.873966i | ||||||||
−17.2905 | −2.19589 | |||||||||
0 | 0 | |||||||||
−7.32743 | −0.915929 | |||||||||
0.890369 | + | 1.54216i | 0.110437 | + | 0.191282i | |||||
0 | 0 | |||||||||
−1.80039 | + | 3.11836i | −0.219952 | + | 0.380969i | −0.954793 | − | 0.297271i | ||
0.734841 | + | 0.678240i | ||||||||
9.84299 | − | 17.0486i | 1.19364 | − | 2.06744i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.46050 | −1.00408 | −0.502039 | − | 0.864845i | ||||||
−0.502039 | + | 0.864845i | ||||||||
0 | 0 | |||||||||
1.97351 | 0.230982 | 0.115491 | − | 0.993309i | ||||||
0.115491 | + | 0.993309i | ||||||||
2.86333 | + | 4.95943i | 0.332855 | + | 0.576522i | |||||
0 | 0 | |||||||||
4.00040 | − | 6.92889i | 0.458877 | − | 0.794798i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.08113 | − | 7.06872i | −0.459163 | − | 0.795293i | 0.539754 | − | 0.841823i | ||
−0.998917 | + | 0.0465297i | ||||||||
15.8301 | 1.76986 | |||||||||
0 | 0 | |||||||||
18.4882 | 2.04168 | |||||||||
6.08600 | + | 10.5413i | 0.668025 | + | 1.15705i | 0.978456 | + | 0.206457i | ||
−0.310431 | + | 0.950596i | ||||||||
0 | 0 | |||||||||
8.88151 | − | 15.3832i | 0.963336 | − | 1.66855i | |||||
−2.86333 | + | 4.95943i | −0.308760 | + | 0.534789i | |||||
0 | 0 | |||||||||
−1.02704 | − | 1.77889i | −0.109483 | − | 0.189630i | |||||
−14.8301 | −1.57199 | −0.785996 | − | 0.618231i | ||||||
−0.785996 | + | 0.618231i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.42101 | + | 16.3177i | 0.982208 | + | 1.70123i | |||||
0 | 0 | |||||||||
7.77056 | − | 13.4590i | 0.801472 | − | 1.38819i | |||||
3.60963 | − | 6.25206i | 0.370340 | − | 0.641448i | |||||
0 | 0 | |||||||||
4.74375 | + | 8.21642i | 0.481655 | + | 0.834251i | 0.999778 | − | 0.0210547i | ||
−0.518123 | + | 0.855306i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
33.9794 | 3.39794 | |||||||||
4.35588 | + | 7.54461i | 0.433426 | + | 0.750716i | 0.997166 | − | 0.0752364i | ||
−0.563739 | + | 0.825953i | ||||||||
0 | 0 | |||||||||
−4.01356 | + | 6.95169i | −0.395468 | + | 0.684970i | −0.993161 | − | 0.116755i | ||
0.597693 | + | 0.801725i | ||||||||
−1.23016 | + | 2.13069i | −0.120627 | + | 0.208931i | |||||
0 | 0 | |||||||||
4.39037 | + | 7.60434i | 0.426430 | + | 0.738599i | |||||
−12.8420 | −1.24148 | −0.620742 | − | 0.784015i | ||||||
−0.620742 | + | 0.784015i | ||||||||
0 | 0 | |||||||||
2.60078 | 0.249109 | 0.124555 | − | 0.992213i | ||||||
0.124555 | + | 0.992213i | ||||||||
−1.82904 | − | 3.16799i | −0.174392 | − | 0.302056i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−6.97509 | + | 12.0812i | −0.656162 | + | 1.13651i | 0.325440 | + | 0.945563i | ||
−0.981601 | + | 0.190942i | ||||||||
0 | 0 | |||||||||
8.50075 | + | 14.7237i | 0.792699 | + | 1.37300i | |||||
−31.0043 | −2.87867 | |||||||||
0 | 0 | |||||||||
15.0543 | 1.38586 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.41741 | − | 9.38323i | 0.492492 | − | 0.853021i | |||||
−9.87538 | + | 17.1047i | −0.894075 | + | 1.54858i | |||||
0 | 0 | |||||||||
−14.2444 | − | 24.6721i | −1.27919 | − | 2.21562i | |||||
12.3698 | 1.10639 | |||||||||
0 | 0 | |||||||||
−15.5438 | −1.37929 | −0.689643 | − | 0.724149i | ||||||
−0.689643 | + | 0.724149i | ||||||||
−9.55408 | − | 16.5482i | −0.844470 | − | 1.46266i | |||||
0 | 0 | |||||||||
−2.19076 | + | 3.79450i | −0.192142 | + | 0.332800i | |||||
−4.25696 | + | 7.37327i | −0.371932 | + | 0.644205i | −0.989863 | − | 0.142027i | ||
0.617931 | + | 0.786233i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.85973 | −0.765364 | |||||||||
0 | 0 | |||||||||
24.5418 | 2.10444 | |||||||||
0.188621 | + | 0.326702i | 0.0161150 | + | 0.0279120i | 0.873970 | − | 0.485979i | ||
−0.857855 | + | 0.513891i | ||||||||
0 | 0 | |||||||||
9.50067 | − | 16.4556i | 0.805837 | − | 1.39575i | −0.109888 | − | 0.993944i | ||
0.915725 | − | 0.401806i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−10.4086 | − | 18.0281i | −0.873467 | − | 1.51289i | |||||
0.197844 | 0.0165446 | |||||||||
0 | 0 | |||||||||
−27.9757 | −2.32326 | |||||||||
2.42792 | + | 4.20528i | 0.200936 | + | 0.348032i | |||||
0 | 0 | |||||||||
−4.71780 | + | 8.17147i | −0.387801 | + | 0.671691i | |||||
−4.85087 | + | 8.40196i | −0.397399 | + | 0.688315i | −0.993404 | − | 0.114665i | ||
0.596005 | + | 0.802981i | ||||||||
0 | 0 | |||||||||
6.41741 | + | 11.1153i | 0.522242 | + | 0.904549i | 0.999665 | + | 0.0258756i | ||
−0.477424 | + | 0.878673i | ||||||||
9.97430 | 0.809023 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.8530 | − | 22.2621i | −1.03238 | − | 1.78813i | |||||
0 | 0 | |||||||||
−10.4743 | + | 18.1420i | −0.835937 | + | 1.44789i | 0.0573276 | + | 0.998355i | ||
−0.893265 | + | 0.449531i | ||||||||
10.0416 | − | 17.3926i | 0.798869 | − | 1.38368i | |||||
0 | 0 | |||||||||
0.986757 | + | 1.70911i | 0.0780100 | + | 0.135117i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.1623 | −0.874295 | −0.437148 | − | 0.899390i | ||||||
−0.437148 | + | 0.899390i | ||||||||
15.2312 | + | 26.3812i | 1.18936 | + | 2.06002i | |||||
0 | 0 | |||||||||
−14.9746 | + | 25.9368i | −1.16226 | + | 2.01309i | |||||
1.73012 | − | 2.99665i | 0.133880 | − | 0.231888i | −0.791289 | − | 0.611443i | ||
0.925169 | + | 0.379555i | ||||||||
0 | 0 | |||||||||
6.38151 | + | 11.0531i | 0.490886 | + | 0.850239i | |||||
43.7060 | 3.35210 | |||||||||
0 | 0 | |||||||||
−9.43560 | −0.719458 | |||||||||
−3.02680 | − | 5.24258i | −0.230124 | − | 0.398586i | 0.727721 | − | 0.685874i | ||
−0.957844 | + | 0.287288i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.879379 | − | 1.52313i | 0.0662857 | − | 0.114810i | |||||
0 | 0 | |||||||||
−18.2448 | − | 31.6010i | −1.36751 | − | 2.36859i | |||||
−9.13307 | −0.682638 | −0.341319 | − | 0.939948i | ||||||
−0.341319 | + | 0.939948i | ||||||||
0 | 0 | |||||||||
11.9478 | 0.888074 | 0.444037 | − | 0.896008i | ||||||
0.444037 | + | 0.896008i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.7448 | + | 20.3427i | −0.865841 | + | 1.49968i | |||||
−4.25696 | + | 7.37327i | −0.312978 | + | 0.542093i | |||||
0 | 0 | |||||||||
−0.986757 | − | 1.70911i | −0.0721588 | − | 0.124983i | |||||
25.6065 | 1.86755 | |||||||||
0 | 0 | |||||||||
17.7630 | 1.28867 | |||||||||
4.57014 | + | 7.91571i | 0.330683 | + | 0.572760i | 0.982646 | − | 0.185491i | ||
−0.651963 | + | 0.758251i | ||||||||
0 | 0 | |||||||||
−8.47150 | + | 14.6731i | −0.609792 | + | 1.05619i | 0.381483 | + | 0.924376i | ||
−0.991274 | + | 0.131814i | ||||||||
−11.6720 | + | 20.2165i | −0.838003 | + | 1.45146i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
21.3173 | 1.51880 | 0.759398 | − | 0.650627i | ||||||
0.759398 | + | 0.650627i | ||||||||
0 | 0 | |||||||||
9.97430 | 0.707060 | 0.353530 | − | 0.935423i | ||||||
0.353530 | + | 0.935423i | ||||||||
21.1804 | + | 36.6856i | 1.49768 | + | 2.59406i | |||||
0 | 0 | |||||||||
−10.7177 | + | 18.5635i | −0.754092 | + | 1.30613i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
13.7434 | + | 23.8042i | 0.959879 | + | 1.66256i | |||||
−19.7508 | −1.37610 | |||||||||
0 | 0 | |||||||||
−2.10658 | −0.146065 | |||||||||
−0.401038 | − | 0.694619i | −0.0277404 | − | 0.0480478i | |||||
0 | 0 | |||||||||
−2.44592 | + | 4.23645i | −0.168384 | + | 0.291649i | −0.937852 | − | 0.347036i | ||
0.769468 | + | 0.638685i | ||||||||
−7.23385 | + | 12.5294i | −0.496823 | + | 0.860523i | |||||
0 | 0 | |||||||||
−15.7989 | − | 27.3645i | −1.07999 | − | 1.87060i | |||||
−8.51392 | −0.580644 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.19961 | + | 5.54189i | 0.216705 | + | 0.375344i | |||||
0 | 0 | |||||||||
3.01364 | − | 5.21978i | 0.203179 | − | 0.351917i | |||||
−1.18190 | + | 2.04712i | −0.0795034 | + | 0.137704i | |||||
0 | 0 | |||||||||
11.7044 | + | 20.2727i | 0.783786 | + | 1.35756i | 0.929722 | + | 0.368263i | ||
−0.145936 | + | 0.989294i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−34.3245 | −2.28323 | |||||||||
−3.05919 | − | 5.29868i | −0.203046 | − | 0.351686i | 0.746463 | − | 0.665427i | ||
−0.949508 | + | 0.313742i | ||||||||
0 | 0 | |||||||||
−0.730195 | + | 1.26473i | −0.0482526 | + | 0.0835760i | −0.889143 | − | 0.457630i | ||
0.840890 | + | 0.541206i | ||||||||
−20.9161 | + | 36.2278i | −1.37917 | + | 2.38879i | |||||
0 | 0 | |||||||||
−19.3260 | − | 33.4736i | −1.26881 | − | 2.19765i | |||||
13.2484 | 0.867934 | 0.433967 | − | 0.900929i | ||||||
0.433967 | + | 0.900929i | ||||||||
0 | 0 | |||||||||
23.1052 | 1.50722 | |||||||||
12.4022 | + | 21.4813i | 0.807316 | + | 1.39831i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.69436 | − | 16.7911i | 0.627076 | − | 1.08613i | −0.361060 | − | 0.932543i | ||
0.988136 | − | 0.153584i | ||||||||
0 | 0 | |||||||||
2.52684 | + | 4.37662i | 0.162768 | + | 0.281923i | 0.935860 | − | 0.352371i | ||
−0.773092 | + | 0.634294i | ||||||||
26.6591 | 1.71371 | |||||||||
0 | 0 | |||||||||
−32.5426 | −2.08333 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−0.480350 | + | 0.831990i | −0.0305639 | + | 0.0529383i | |||||
17.7580 | − | 30.7578i | 1.12764 | − | 1.95312i | |||||
0 | 0 | |||||||||
15.2180 | + | 26.3584i | 0.962472 | + | 1.66705i | |||||
15.0928 | 0.952647 | 0.476324 | − | 0.879270i | ||||||
0.476324 | + | 0.879270i | ||||||||
0 | 0 | |||||||||
1.88891 | 0.118755 | |||||||||
−19.1228 | − | 33.1216i | −1.19987 | − | 2.07823i | |||||
0 | 0 | |||||||||
16.1804 | − | 28.0253i | 1.01128 | − | 1.75158i | |||||
−3.85592 | + | 6.67865i | −0.240526 | + | 0.416603i | −0.960864 | − | 0.277020i | ||
0.720338 | + | 0.693623i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.21926 | −0.447720 | |||||||||
0 | 0 | |||||||||
−20.9485 | −1.29420 | |||||||||
2.10603 | + | 3.64776i | 0.129864 | + | 0.224930i | 0.923624 | − | 0.383301i | ||
−0.793760 | + | 0.608231i | ||||||||
0 | 0 | |||||||||
−6.52724 | + | 11.3055i | −0.400965 | + | 0.694492i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.29893 | − | 12.6421i | −0.445853 | − | 0.772240i | |||||
20.7507 | 1.26519 | 0.632596 | − | 0.774482i | ||||||
0.632596 | + | 0.774482i | ||||||||
0 | 0 | |||||||||
28.4889 | 1.73057 | 0.865287 | − | 0.501276i | ||||||
0.865287 | + | 0.501276i | ||||||||
10.5067 | + | 18.1981i | 0.637060 | + | 1.10342i | |||||
0 | 0 | |||||||||
−0.464103 | + | 0.803851i | −0.0280375 | + | 0.0485624i | |||||
1.70321 | − | 2.95005i | 0.102707 | − | 0.177895i | |||||
0 | 0 | |||||||||
−8.58113 | − | 14.8629i | −0.515590 | − | 0.893028i | −0.999836 | − | 0.0180962i | ||
0.484246 | − | 0.874932i | ||||||||
46.7529 | 2.80405 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4.72140 | + | 8.17770i | 0.281655 | + | 0.487841i | 0.971793 | − | 0.235837i | ||
−0.690138 | + | 0.723678i | ||||||||
0 | 0 | |||||||||
8.43422 | − | 14.6085i | 0.501362 | − | 0.868385i | −0.498636 | − | 0.866811i | ||
0.999999 | − | 0.00157378i | ||||||||
17.1498 | − | 29.7043i | 1.01765 | − | 1.76263i | |||||
0 | 0 | |||||||||
0.243398 | + | 0.421578i | 0.0143924 | + | 0.0249284i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.57918 | 0.387011 | |||||||||
−34.4172 | − | 59.6124i | −2.02105 | − | 3.50056i | |||||
0 | 0 | |||||||||
−4.00040 | + | 6.92889i | −0.234105 | + | 0.405483i | |||||
1.86143 | − | 3.22409i | 0.108746 | − | 0.188353i | −0.806517 | − | 0.591211i | ||
0.915262 | + | 0.402858i | ||||||||
0 | 0 | |||||||||
11.1908 | + | 19.3830i | 0.651551 | + | 1.12852i | |||||
−11.7630 | −0.683712 | |||||||||
0 | 0 | |||||||||
−23.8712 | −1.38282 | |||||||||
−1.13123 | − | 1.95935i | −0.0654209 | − | 0.113312i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−15.7901 | + | 27.3492i | −0.908617 | + | 1.57377i | |||||
0 | 0 | |||||||||
4.27012 | + | 7.39607i | 0.244908 | + | 0.424194i | |||||
−29.3638 | −1.68137 | |||||||||
0 | 0 | |||||||||
−30.5691 | −1.74467 | −0.872335 | − | 0.488908i | ||||||
−0.872335 | + | 0.488908i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
31.6249 | − | 54.7759i | 1.79617 | − | 3.11106i | |||||
5.21739 | − | 9.03678i | 0.295851 | − | 0.512429i | −0.679332 | − | 0.733831i | ||
0.975182 | + | 0.221403i | ||||||||
0 | 0 | |||||||||
−0.309930 | − | 0.536815i | −0.0175183 | − | 0.0303426i | 0.857133 | − | 0.515095i | ||
−0.874652 | + | 0.484752i | ||||||||
−51.5440 | −2.90879 | |||||||||
0 | 0 | |||||||||
33.0905 | 1.86148 | |||||||||
5.12422 | + | 8.87541i | 0.287805 | + | 0.498493i | 0.973285 | − | 0.229598i | ||
−0.685481 | + | 0.728091i | ||||||||
0 | 0 | |||||||||
−1.55408 | + | 2.69175i | −0.0870120 | + | 0.150709i | |||||
13.4021 | − | 23.2132i | 0.749203 | − | 1.29766i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9.58307 | 0.533216 | |||||||||
0 | 0 | |||||||||
−4.08009 | −0.226323 | |||||||||
−13.7324 | − | 23.7852i | −0.760567 | − | 1.31734i | |||||
0 | 0 | |||||||||
−18.9882 | + | 32.8885i | −1.04845 | + | 1.81596i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
10.1819 | + | 17.6356i | 0.559648 | + | 0.969339i | 0.997526 | + | 0.0703042i | ||
−0.437878 | + | 0.899035i | ||||||||
−49.3463 | −2.70823 | |||||||||
0 | 0 | |||||||||
8.51392 | 0.465861 | |||||||||
−6.58596 | − | 11.4072i | −0.359829 | − | 0.623242i | |||||
0 | 0 | |||||||||
2.85594 | − | 4.94662i | 0.155573 | − | 0.269460i | −0.777695 | − | 0.628642i | ||
0.933267 | + | 0.359182i | ||||||||
−15.7017 | + | 27.1962i | −0.854062 | + | 1.47928i | |||||
0 | 0 | |||||||||
36.0064 | + | 62.3649i | 1.95272 | + | 3.38221i | |||||
−2.85600 | −0.154661 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.88151 | − | 10.1871i | −0.317110 | − | 0.549251i | |||||
0 | 0 | |||||||||
7.44746 | − | 12.8994i | 0.400378 | − | 0.693475i | |||||
4.44066 | − | 7.69145i | 0.238387 | − | 0.412899i | −0.721865 | − | 0.692034i | ||
0.960252 | + | 0.279136i | ||||||||
0 | 0 | |||||||||
−10.4874 | − | 18.1648i | −0.561379 | − | 0.972337i | −0.997376 | − | 0.0723893i | ||
0.435997 | − | 0.899948i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.219262 | 0.0116867 | |||||||||
−7.38268 | − | 12.7872i | −0.392941 | − | 0.680593i | 0.599895 | − | 0.800078i | ||
−0.992836 | + | 0.119485i | ||||||||
0 | 0 | |||||||||
15.4746 | − | 26.8028i | 0.821306 | − | 1.42254i | |||||
30.0613 | − | 52.0677i | 1.59325 | − | 2.75959i | |||||
0 | 0 | |||||||||
−11.2360 | − | 19.4613i | −0.593840 | − | 1.02856i | |||||
−7.21206 | −0.380638 | −0.190319 | − | 0.981722i | ||||||
−0.190319 | + | 0.981722i | ||||||||
0 | 0 | |||||||||
−15.1052 | −0.795013 | |||||||||
14.6988 | + | 25.4591i | 0.772554 | + | 1.33810i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3.60963 | + | 6.25206i | −0.188937 | + | 0.327248i | |||||
0 | 0 | |||||||||
5.48711 | + | 9.50396i | 0.286425 | + | 0.496103i | 0.972954 | − | 0.231000i | ||
−0.686529 | + | 0.727103i | ||||||||
−20.1124 | −1.04843 | |||||||||
0 | 0 | |||||||||
−20.9485 | −1.08906 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.271884 | − | 0.470916i | 0.0140776 | − | 0.0243831i | −0.858901 | − | 0.512142i | ||
0.872978 | + | 0.487759i | ||||||||
2.42792 | − | 4.20528i | 0.125545 | − | 0.217450i | |||||
0 | 0 | |||||||||
15.9614 | + | 27.6459i | 0.823145 | + | 1.42573i | |||||
3.72286 | 0.191737 | |||||||||
0 | 0 | |||||||||
−22.6912 | −1.16557 | −0.582785 | − | 0.812626i | ||||||
−0.582785 | + | 0.812626i | ||||||||
14.6337 | + | 25.3464i | 0.750695 | + | 1.30024i | |||||
0 | 0 | |||||||||
−11.2448 | + | 19.4766i | −0.575336 | + | 0.996511i | |||||
17.8569 | − | 30.9291i | 0.912447 | − | 1.58041i | 0.101851 | − | 0.994800i | ||
0.810596 | − | 0.585606i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−41.6883 | −2.12188 | |||||||||
0 | 0 | |||||||||
−38.4632 | −1.95267 | |||||||||
19.3296 | + | 33.4798i | 0.980048 | + | 1.69749i | 0.662156 | + | 0.749366i | ||
0.317892 | + | 0.948127i | ||||||||
0 | 0 | |||||||||
−11.2842 | + | 19.5447i | −0.570664 | + | 0.988420i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
26.2257 | + | 45.4242i | 1.32123 | + | 2.28844i | |||||
29.8581 | 1.50233 | |||||||||
0 | 0 | |||||||||
−11.9478 | −0.599644 | −0.299822 | − | 0.953995i | ||||||
−0.299822 | + | 0.953995i | ||||||||
12.2709 | + | 21.2538i | 0.615085 | + | 1.06536i | |||||
0 | 0 | |||||||||
−18.1352 | + | 31.4111i | −0.906761 | + | 1.57056i | |||||
16.1783 | − | 28.0216i | 0.807906 | − | 1.39933i | −0.106406 | − | 0.994323i | ||
0.914312 | − | 0.405011i | ||||||||
0 | 0 | |||||||||
1.71041 | + | 2.96251i | 0.0852015 | + | 0.147573i | |||||
−35.3182 | −1.75715 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.472958 | + | 0.819187i | 0.0234437 | + | 0.0406056i | |||||
0 | 0 | |||||||||
−9.48751 | + | 16.4328i | −0.469127 | + | 0.812552i | −0.999377 | − | 0.0352893i | ||
0.530250 | + | 0.847841i | ||||||||
−33.8157 | + | 58.5704i | −1.67004 | + | 2.89259i | |||||
0 | 0 | |||||||||
−16.2713 | − | 28.1827i | −0.801630 | − | 1.38846i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−44.5261 | −2.18570 | |||||||||
−0.131312 | − | 0.227439i | −0.00643811 | − | 0.0111511i | |||||
0 | 0 | |||||||||
0.986757 | − | 1.70911i | 0.0482639 | − | 0.0835955i | |||||
−8.64523 | + | 14.9740i | −0.422347 | + | 0.731526i | −0.996169 | − | 0.0874539i | ||
0.573822 | + | 0.818980i | ||||||||
0 | 0 | |||||||||
−9.30039 | − | 16.1087i | −0.453273 | − | 0.785092i | 0.545314 | − | 0.838232i | ||
−0.998587 | + | 0.0531397i | ||||||||
−12.0364 | −0.585922 | |||||||||
0 | 0 | |||||||||
−18.0364 | −0.875924 | |||||||||
20.3496 | + | 35.2466i | 0.987103 | + | 1.70971i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
26.0313 | − | 45.0876i | 1.25827 | − | 2.17939i | |||||
0 | 0 | |||||||||
−10.4743 | − | 18.1420i | −0.505114 | − | 0.874883i | |||||
15.8784 | 0.764835 | 0.382418 | − | 0.923990i | ||||||
0.382418 | + | 0.923990i | ||||||||
0 | 0 | |||||||||
40.4367 | 1.94326 | 0.971631 | − | 0.236501i | ||||||
0.971631 | + | 0.236501i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.27188 | + | 9.13117i | −0.252477 | + | 0.437304i | |||||
−4.58611 | + | 7.94338i | −0.219384 | + | 0.379984i | |||||
0 | 0 | |||||||||
−6.23047 | − | 10.7915i | −0.297364 | − | 0.515050i | 0.678168 | − | 0.734907i | ||
−0.975532 | + | 0.219857i | ||||||||
7.51399 | 0.358216 | |||||||||
0 | 0 | |||||||||
−5.81616 | −0.276646 | |||||||||
−4.11537 | − | 7.12802i | −0.195527 | − | 0.338663i | 0.751546 | − | 0.659680i | ||
−0.947073 | + | 0.321018i | ||||||||
0 | 0 | |||||||||
27.1249 | − | 46.9817i | 1.28584 | − | 2.22715i | |||||
−28.7988 | + | 49.8810i | −1.36366 | + | 2.36193i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.64474 | −0.266392 | −0.133196 | − | 0.991090i | ||||||
−0.133196 | + | 0.991090i | ||||||||
0 | 0 | |||||||||
3.05384 | 0.143800 | |||||||||
−28.2776 | − | 48.9783i | −1.33007 | − | 2.30374i | |||||
0 | 0 | |||||||||
7.52716 | − | 13.0374i | 0.353267 | − | 0.611876i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.53443 | − | 4.38977i | −0.118556 | − | 0.205345i | 0.800640 | − | 0.599146i | ||
−0.919196 | + | 0.393801i | ||||||||
−3.59330 | −0.167904 | |||||||||
0 | 0 | |||||||||
−68.9255 | −3.21367 | |||||||||
−3.88831 | − | 6.73475i | −0.181097 | − | 0.313669i | 0.761158 | − | 0.648567i | ||
−0.942254 | + | 0.334898i | ||||||||
0 | 0 | |||||||||
4.58998 | − | 7.95008i | 0.213314 | − | 0.369472i | −0.739435 | − | 0.673228i | ||
0.952750 | + | 0.303756i | ||||||||
16.5474 | − | 28.6609i | 0.768192 | − | 1.33055i | |||||
0 | 0 | |||||||||
16.2989 | + | 28.2306i | 0.755033 | + | 1.30776i | |||||
13.7654 | 0.636989 | 0.318494 | − | 0.947925i | ||||||
0.318494 | + | 0.947925i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
28.4253 | + | 49.2340i | 1.31116 | + | 2.27100i | |||||
0 | 0 | |||||||||
−15.4614 | + | 26.7800i | −0.711669 | + | 1.23265i | |||||
−0.472958 | + | 0.819187i | −0.0217466 | + | 0.0376663i | |||||
0 | 0 | |||||||||
8.27052 | + | 14.3250i | 0.379477 | + | 0.657274i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
47.7060 | 2.18202 | |||||||||
4.35588 | + | 7.54461i | 0.199025 | + | 0.344722i | 0.948213 | − | 0.317636i | ||
−0.749187 | + | 0.662358i | ||||||||
0 | 0 | |||||||||
0.566492 | − | 0.981194i | 0.0258298 | − | 0.0447386i | |||||
−6.21731 | + | 10.7687i | −0.283191 | + | 0.490501i | |||||
0 | 0 | |||||||||
21.9626 | + | 38.0404i | 0.998302 | + | 1.72911i | |||||
−34.7060 | −1.57592 | |||||||||
0 | 0 | |||||||||
−18.0364 | −0.817306 | −0.408653 | − | 0.912690i | ||||||
−0.408653 | + | 0.912690i | ||||||||
−20.2849 | − | 35.1344i | −0.918253 | − | 1.59046i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.02344 | − | 1.77266i | 0.0461874 | − | 0.0799989i | −0.842007 | − | 0.539466i | ||
0.888195 | + | 0.459467i | ||||||||
0 | 0 | |||||||||
−18.5679 | − | 32.1606i | −0.836257 | − | 1.44844i | |||||
−2.36381 | −0.106353 | |||||||||
0 | 0 | |||||||||
30.4097 | 1.36544 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
19.5438 | − | 33.8508i | 0.874899 | − | 1.51537i | 0.0180291 | − | 0.999837i | ||
0.856870 | − | 0.515532i | ||||||||
−25.0742 | + | 43.4297i | −1.12135 | + | 1.94224i | |||||
0 | 0 | |||||||||
18.5679 | + | 32.1606i | 0.828727 | + | 1.43540i | |||||
−5.11846 | −0.228221 | −0.114111 | − | 0.993468i | ||||||
−0.114111 | + | 0.993468i | ||||||||
0 | 0 | |||||||||
−31.8683 | −1.41812 | |||||||||
2.32383 | + | 4.02499i | 0.103307 | + | 0.178933i | |||||
0 | 0 | |||||||||
31.5079 | − | 54.5732i | 1.39794 | − | 2.42130i | |||||
−14.7636 | + | 25.5713i | −0.654386 | + | 1.13343i | 0.327662 | + | 0.944795i | ||
−0.982047 | + | 0.188634i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
41.4078 | 1.82998 | |||||||||
0 | 0 | |||||||||
−18.9750 | −0.836952 | |||||||||
−14.6819 | − | 25.4298i | −0.646962 | − | 1.12057i | |||||
0 | 0 | |||||||||
1.28352 | − | 2.22313i | 0.0564493 | − | 0.0977730i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.50000 | − | 7.79423i | −0.197338 | − | 0.341800i | |||||
−1.06470 | −0.0466454 | −0.0233227 | − | 0.999728i | ||||||
−0.0233227 | + | 0.999728i | ||||||||
0 | 0 | |||||||||
13.3819 | 0.585149 | 0.292574 | − | 0.956243i | ||||||
0.292574 | + | 0.956243i | ||||||||
−17.2581 | − | 29.8918i | −0.753922 | − | 1.30583i | |||||
0 | 0 | |||||||||
−5.18190 | + | 8.97532i | −0.225942 | + | 0.391343i | |||||
17.0615 | − | 29.5513i | 0.743210 | − | 1.28728i | |||||
0 | 0 | |||||||||
0.699612 | + | 1.21176i | 0.0304179 | + | 0.0526853i | |||||
−32.1206 | −1.39523 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.82889 | − | 3.16774i | −0.0792181 | − | 0.137210i | |||||
0 | 0 | |||||||||
23.4885 | − | 40.6833i | 1.01550 | − | 1.75889i | |||||
9.09931 | − | 15.7605i | 0.393031 | − | 0.680749i | |||||
0 | 0 | |||||||||
25.5286 | + | 44.2168i | 1.10062 | + | 1.90632i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−34.0875 | −1.46554 | −0.732769 | − | 0.680478i | ||||||
−0.732769 | + | 0.680478i | ||||||||
35.0485 | + | 60.7058i | 1.50546 | + | 2.60754i | |||||
0 | 0 | |||||||||
−1.30985 | + | 2.26873i | −0.0561594 | + | 0.0972709i | |||||
−4.75692 | + | 8.23922i | −0.203764 | + | 0.352930i | |||||
0 | 0 | |||||||||
2.97150 | + | 5.14678i | 0.127052 | + | 0.220060i | 0.922533 | − | 0.385918i | ||
−0.795481 | + | 0.605978i | ||||||||
−1.52937 | −0.0653316 | |||||||||
0 | 0 | |||||||||
8.38151 | 0.357389 | |||||||||
−7.54638 | − | 13.0707i | −0.321487 | − | 0.556831i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
21.1139 | − | 36.5704i | 0.897044 | − | 1.55373i | |||||
0 | 0 | |||||||||
38.5165 | + | 66.7126i | 1.63346 | + | 2.82924i | |||||
30.0803 | 1.27454 | 0.637272 | − | 0.770639i | ||||||
0.637272 | + | 0.770639i | ||||||||
0 | 0 | |||||||||
1.13298 | 0.0479202 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.6170 | + | 20.1213i | −0.490035 | + | 0.848765i | |||||
9.81060 | − | 16.9925i | 0.413468 | − | 0.716147i | −0.581799 | − | 0.813333i | ||
0.995266 | + | 0.0971860i | ||||||||
0 | 0 | |||||||||
−25.5154 | − | 44.1940i | −1.07344 | − | 1.85926i | |||||
41.5049 | 1.74458 | |||||||||
0 | 0 | |||||||||
42.7601 | 1.79417 | |||||||||
−0.687159 | − | 1.19019i | −0.0288072 | − | 0.0498955i | 0.851262 | − | 0.524740i | ||
−0.880070 | + | 0.474845i | ||||||||
0 | 0 | |||||||||
−8.69076 | + | 15.0528i | −0.363697 | + | 0.629941i | −0.988566 | − | 0.150788i | ||
0.624869 | + | 0.780729i | ||||||||
−0.401038 | + | 0.694619i | −0.0167683 | + | 0.0290435i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−38.9545 | −1.62451 | |||||||||
0 | 0 | |||||||||
27.0548 | 1.12631 | 0.563153 | − | 0.826353i | ||||||
0.563153 | + | 0.826353i | ||||||||
8.09406 | + | 14.0193i | 0.336668 | + | 0.583127i | |||||
0 | 0 | |||||||||
56.7080 | − | 98.2211i | 2.35467 | − | 4.07841i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
0.725191 | + | 1.25607i | 0.0300344 | + | 0.0520210i | |||||
−9.97430 | −0.412740 | |||||||||
0 | 0 | |||||||||
9.16010 | 0.378400 | |||||||||
−3.75700 | − | 6.50731i | −0.155068 | − | 0.268585i | 0.778016 | − | 0.628245i | ||
−0.933084 | + | 0.359659i | ||||||||
0 | 0 | |||||||||
6.93414 | − | 12.0103i | 0.285716 | − | 0.494875i | |||||
−27.5349 | + | 47.6919i | −1.13359 | + | 1.96344i | |||||
0 | 0 | |||||||||
−5.03590 | − | 8.72243i | −0.206974 | − | 0.358490i | |||||
35.5808 | 1.46113 | 0.730565 | − | 0.682843i | ||||||
0.730565 | + | 0.682843i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−19.6659 | − | 34.0623i | −0.805545 | − | 1.39524i | |||||
0 | 0 | |||||||||
2.78340 | − | 4.82100i | 0.113822 | − | 0.197145i | |||||
−5.74105 | + | 9.94379i | −0.234573 | + | 0.406292i | −0.959148 | − | 0.282903i | ||
0.724576 | + | 0.689195i | ||||||||
0 | 0 | |||||||||
−0.190030 | − | 0.329142i | −0.00775150 | − | 0.0134260i | 0.862124 | − | 0.506698i | ||
−0.869875 | + | 0.493272i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−52.0335 | −2.11721 | |||||||||
19.8173 | + | 34.3246i | 0.805688 | + | 1.39549i | |||||
0 | 0 | |||||||||
−9.27044 | + | 16.0569i | −0.376275 | + | 0.651728i | −0.990517 | − | 0.137390i | ||
0.614242 | + | 0.789118i | ||||||||
−0.532351 | + | 0.922058i | −0.0215897 | + | 0.0373944i | |||||
0 | 0 | |||||||||
−36.1249 | − | 62.5702i | −1.46265 | − | 2.53339i | |||||
−3.07472 | −0.124390 | |||||||||
0 | 0 | |||||||||
7.32451 | 0.295834 | 0.147917 | − | 0.989000i | ||||||
0.147917 | + | 0.989000i | ||||||||
−37.6077 | − | 65.1385i | −1.51772 | − | 2.62877i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12.7427 | + | 22.0710i | −0.513002 | + | 0.888546i | 0.486884 | + | 0.873466i | ||
−0.999886 | + | 0.0150791i | ||||||||
0 | 0 | |||||||||
16.4482 | + | 28.4891i | 0.661108 | + | 1.14507i | 0.980325 | + | 0.197391i | ||
−0.319217 | + | 0.947682i | ||||||||
104.214 | 4.18535 | |||||||||
0 | 0 | |||||||||
25.6748 | 1.02947 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.67111 | + | 2.89444i | −0.0668443 | + | 0.115778i | |||||
0.762585 | − | 1.32084i | 0.0304790 | − | 0.0527912i | |||||
0 | 0 | |||||||||
−42.4636 | − | 73.5490i | −1.69448 | − | 2.93493i | |||||
−11.3016 | −0.450626 | |||||||||
0 | 0 | |||||||||
29.8683 | 1.18904 | 0.594519 | − | 0.804082i | ||||||
0.594519 | + | 0.804082i | ||||||||
20.6264 | + | 35.7259i | 0.820472 | + | 1.42110i | |||||
0 | 0 | |||||||||
−12.6082 | + | 21.8380i | −0.500734 | + | 0.867297i | |||||
28.4301 | − | 49.2424i | 1.12822 | − | 1.95413i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.64766 | −0.302774 | |||||||||
0 | 0 | |||||||||
69.8991 | 2.76301 | |||||||||
5.73025 | + | 9.92509i | 0.226331 | + | 0.392017i | 0.956718 | − | 0.291016i | ||
−0.730387 | + | 0.683034i | ||||||||
0 | 0 | |||||||||
−8.69078 | + | 15.0529i | −0.342731 | + | 0.593627i | −0.984939 | − | 0.172903i | ||
0.642208 | + | 0.766531i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
11.7896 | + | 20.4202i | 0.463855 | + | 0.803421i | |||||
25.3439 | 0.996372 | 0.498186 | − | 0.867070i | ||||||
0.498186 | + | 0.867070i | ||||||||
0 | 0 | |||||||||
2.48664 | 0.0976091 | |||||||||
−5.01954 | − | 8.69410i | −0.196883 | − | 0.341011i | |||||
0 | 0 | |||||||||
22.6264 | − | 39.1900i | 0.886116 | − | 1.53480i | |||||
7.04163 | − | 12.1965i | 0.275560 | − | 0.477284i | −0.694716 | − | 0.719284i | ||
0.970276 | + | 0.242000i | ||||||||
0 | 0 | |||||||||
−15.5723 | − | 26.9720i | −0.608459 | − | 1.05388i | |||||
−32.5163 | −1.26955 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
19.0854 | + | 33.0569i | 0.743462 | + | 1.28771i | 0.950910 | + | 0.309467i | ||
−0.207449 | + | 0.978246i | ||||||||
0 | 0 | |||||||||
−0.176866 | + | 0.306341i | −0.00687930 | + | 0.0119153i | −0.869445 | − | 0.494031i | ||
0.862565 | + | 0.505946i | ||||||||
−25.0526 | + | 43.3924i | −0.973698 | + | 1.68649i | |||||
0 | 0 | |||||||||
−30.7591 | − | 53.2764i | −1.19369 | − | 2.06752i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
35.5438 | 1.37626 | |||||||||
7.01403 | + | 12.1487i | 0.271381 | + | 0.470046i | |||||
0 | 0 | |||||||||
16.2048 | − | 28.0675i | 0.626045 | − | 1.08434i | |||||
−1.63119 | + | 2.82531i | −0.0629715 | + | 0.109070i | |||||
0 | 0 | |||||||||
10.5555 | + | 18.2827i | 0.406886 | + | 0.704748i | 0.994539 | − | 0.104365i | ||
−0.587653 | + | 0.809113i | ||||||||
14.0541 | 0.541343 | |||||||||
0 | 0 | |||||||||
−51.7424 | −1.99009 | |||||||||
−10.5732 | − | 18.3133i | −0.406361 | − | 0.703837i | 0.588118 | − | 0.808775i | ||
−0.994479 | + | 0.104938i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−44.8879 | + | 77.7482i | −1.72137 | + | 2.98151i | |||||
0 | 0 | |||||||||
−3.51360 | − | 6.08573i | −0.134543 | − | 0.233035i | |||||
−34.7716 | −1.33050 | −0.665249 | − | 0.746622i | ||||||
−0.665249 | + | 0.746622i | ||||||||
0 | 0 | |||||||||
−1.37998 | −0.0527264 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.03590 | − | 8.72243i | 0.191992 | − | 0.332539i | |||||
0.868609 | − | 1.50447i | 0.0330914 | − | 0.0573159i | |||||
0 | 0 | |||||||||
17.3246 | + | 30.0071i | 0.659059 | + | 1.14152i | 0.980860 | + | 0.194716i | ||
−0.321801 | + | 0.946807i | ||||||||
24.5418 | 0.932940 | |||||||||
0 | 0 | |||||||||
21.8525 | 0.829511 | |||||||||
34.7542 | + | 60.1960i | 1.31830 | + | 2.28336i | |||||
0 | 0 | |||||||||
−18.2434 | + | 31.5985i | −0.691017 | + | 1.19688i | |||||
25.8044 | − | 44.6945i | 0.976710 | − | 1.69171i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
48.6050 | 1.83579 | 0.917894 | − | 0.396826i | ||||||
0.917894 | + | 0.396826i | ||||||||
0 | 0 | |||||||||
−4.59322 | −0.173236 | |||||||||
−1.48901 | − | 2.57904i | −0.0561192 | − | 0.0972012i | |||||
0 | 0 | |||||||||
18.1651 | − | 31.4629i | 0.683654 | − | 1.18412i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2.05408 | − | 3.55778i | −0.0771428 | − | 0.133615i | 0.824873 | − | 0.565318i | ||
−0.902016 | + | 0.431702i | ||||||||
76.1506 | 2.85788 | |||||||||
0 | 0 | |||||||||
74.9528 | 2.80898 | |||||||||
16.3300 | + | 28.2844i | 0.611564 | + | 1.05926i | |||||
0 | 0 | |||||||||
−0.361864 | + | 0.626767i | −0.0135330 | + | 0.0234398i | |||||
18.5131 | − | 32.0657i | 0.691868 | − | 1.19835i | |||||
0 | 0 | |||||||||
−8.87266 | − | 15.3679i | −0.331125 | − | 0.573525i | |||||
48.2816 | 1.80060 | 0.900299 | − | 0.435271i | ||||||
0.900299 | + | 0.435271i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−18.5833 | − | 32.1872i | −0.691597 | − | 1.19788i | |||||
0 | 0 | |||||||||
−24.2187 | + | 41.9481i | −0.900082 | + | 1.55899i | |||||
32.0495 | − | 55.5114i | 1.19029 | − | 2.06164i | |||||
0 | 0 | |||||||||
−20.5151 | − | 35.5332i | −0.760863 | − | 1.31785i | −0.942406 | − | 0.334470i | ||
0.181543 | − | 0.983383i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−17.7630 | −0.657439 | |||||||||
−5.65082 | − | 9.78750i | −0.209003 | − | 0.362004i | |||||
0 | 0 | |||||||||
15.2714 | − | 26.4508i | 0.564062 | − | 0.976983i | −0.433075 | − | 0.901358i | ||
0.997136 | − | 0.0756253i | ||||||||
−13.5011 | + | 23.3845i | −0.498334 | + | 0.863139i | |||||
0 | 0 | |||||||||
−1.25370 | − | 2.17147i | −0.0462118 | − | 0.0800413i | |||||
−1.46343 | −0.0539061 | |||||||||
0 | 0 | |||||||||
23.8200 | 0.876234 | 0.438117 | − | 0.898918i | ||||||
0.438117 | + | 0.898918i | ||||||||
−17.2581 | − | 29.8918i | −0.634419 | − | 1.09885i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.26089 | − | 9.11213i | 0.193003 | − | 0.334292i | −0.753241 | − | 0.657745i | ||
0.946244 | + | 0.323453i | ||||||||
0 | 0 | |||||||||
−17.7449 | − | 30.7350i | −0.650121 | − | 1.12604i | |||||
1.33794 | 0.0489855 | |||||||||
0 | 0 | |||||||||
8.00079 | 0.292538 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.13521 | − | 8.89445i | 0.187386 | − | 0.324563i | −0.756992 | − | 0.653425i | ||
0.944378 | + | 0.328862i | ||||||||
−13.6665 | + | 23.6711i | −0.498367 | + | 0.863197i | |||||
0 | 0 | |||||||||
4.58005 | + | 7.93288i | 0.166796 | + | 0.288899i | |||||
−46.9507 | −1.70871 | |||||||||
0 | 0 | |||||||||
8.03930 | 0.292193 | 0.146097 | − | 0.989270i | ||||||
0.146097 | + | 0.989270i | ||||||||
−27.9159 | − | 48.3518i | −1.01395 | − | 1.75622i | |||||
0 | 0 | |||||||||
−18.2434 | + | 31.5985i | −0.661757 | + | 1.14620i | |||||
−13.8302 | + | 23.9547i | −0.501345 | + | 0.868355i | 0.498654 | + | 0.866801i | ||
−0.999999 | + | 0.00155404i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−37.0554 | −1.34062 | |||||||||
0 | 0 | |||||||||
87.8742 | 3.17502 | |||||||||
−1.48920 | − | 2.57938i | −0.0537720 | − | 0.0931359i | |||||
0 | 0 | |||||||||
−16.9613 | + | 29.3778i | −0.611640 | + | 1.05939i | 0.379324 | + | 0.925264i | ||
−0.990964 | + | 0.134128i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−34.3442 | − | 59.4858i | −1.23607 | − | 2.14094i | |||||
−28.5956 | −1.02851 | −0.514256 | − | 0.857637i | ||||||
−0.514256 | + | 0.857637i | ||||||||
0 | 0 | |||||||||
58.8986 | 2.11570 | |||||||||
−23.9753 | − | 41.5265i | −0.860664 | − | 1.49071i | |||||
0 | 0 | |||||||||
−47.5605 | + | 82.3772i | −1.70513 | + | 2.95337i | |||||
−7.41449 | + | 12.8423i | −0.265652 | + | 0.460122i | |||||
0 | 0 | |||||||||
−1.71926 | − | 2.97785i | −0.0615200 | − | 0.106556i | |||||
−55.5294 | −1.98573 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−38.3157 | − | 66.3647i | −1.36754 | − | 2.36866i | |||||
0 | 0 | |||||||||
23.0017 | − | 39.8402i | 0.819923 | − | 1.42015i | −0.0858145 | − | 0.996311i | ||
0.905738 | − | 0.423838i | ||||||||
−43.2111 | + | 74.8438i | −1.53933 | + | 2.66620i | |||||
0 | 0 | |||||||||
36.7330 | + | 63.6235i | 1.30690 | + | 2.26362i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3.90757 | 0.138762 | |||||||||
−14.6988 | − | 25.4591i | −0.521642 | − | 0.903511i | |||||
0 | 0 | |||||||||
−20.2183 | + | 35.0192i | −0.716620 | + | 1.24122i | |||||
18.4558 | − | 31.9664i | 0.653739 | − | 1.13231i | −0.328469 | − | 0.944515i | ||
0.982208 | − | 0.187795i | ||||||||
0 | 0 | |||||||||
15.3353 | + | 26.5615i | 0.542524 | + | 0.939679i | |||||
−4.52179 | −0.159869 | |||||||||
0 | 0 | |||||||||
79.6136 | 2.81125 | |||||||||
0.401038 | + | 0.694619i | 0.0141523 | + | 0.0245126i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4.20847 | + | 7.28928i | −0.148237 | + | 0.256754i | |||||
0 | 0 | |||||||||
−22.0150 | − | 38.1311i | −0.774484 | − | 1.34145i | |||||
−47.6887 | −1.67665 | −0.838323 | − | 0.545174i | ||||||
−0.838323 | + | 0.545174i | ||||||||
0 | 0 | |||||||||
6.02728 | 0.211646 | 0.105823 | − | 0.994385i | ||||||
0.105823 | + | 0.994385i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1.16372 | + | 2.01561i | −0.0407882 | + | 0.0706472i | |||||
20.4162 | − | 35.3619i | 0.715148 | − | 1.23867i | |||||
0 | 0 | |||||||||
−2.29661 | − | 3.97784i | −0.0803481 | − | 0.139167i | |||||
−46.6881 | −1.63241 | |||||||||
0 | 0 | |||||||||
−111.434 | −3.89143 | |||||||||
−19.6321 | − | 34.0038i | −0.685165 | − | 1.18674i | −0.973385 | − | 0.229176i | ||
0.288220 | − | 0.957564i | ||||||||
0 | 0 | |||||||||
−11.3815 | + | 19.7134i | −0.396735 | + | 0.687165i | −0.993321 | − | 0.115384i | ||
0.596586 | + | 0.802549i | ||||||||
20.2849 | − | 35.1344i | 0.706657 | − | 1.22397i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
28.9286 | 1.00595 | 0.502973 | − | 0.864302i | ||||||
0.502973 | + | 0.864302i | ||||||||
0 | 0 | |||||||||
−33.9767 | −1.18006 | −0.590029 | − | 0.807382i | ||||||
−0.590029 | + | 0.807382i | ||||||||
−54.7783 | − | 94.8788i | −1.90138 | − | 3.29329i | |||||
0 | 0 | |||||||||
−1.78348 | + | 3.08908i | −0.0618312 | + | 0.107095i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6.32889 | + | 10.9620i | 0.219020 | + | 0.379354i | |||||
3.25169 | 0.112462 | |||||||||
0 | 0 | |||||||||
−42.5432 | −1.46963 | |||||||||
19.0206 | + | 32.9446i | 0.656663 | + | 1.13737i | 0.981474 | + | 0.191595i | ||
−0.324811 | + | 0.945779i | ||||||||
0 | 0 | |||||||||
−14.7434 | + | 25.5363i | −0.508392 | + | 0.880561i | |||||
22.8837 | − | 39.6356i | 0.788623 | − | 1.36593i | |||||
0 | 0 | |||||||||
−9.91595 | − | 17.1749i | −0.341321 | − | 0.591185i | |||||
−46.6881 | −1.60612 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7.72159 | − | 13.3742i | −0.265161 | − | 0.459272i | |||||
0 | 0 | |||||||||
−50.0704 | + | 86.7245i | −1.71740 | + | 2.97463i | |||||
5.40856 | − | 9.36790i | 0.185403 | − | 0.321127i | |||||
0 | 0 | |||||||||
−4.90746 | − | 8.49996i | −0.168028 | − | 0.291033i | 0.769698 | − | 0.638408i | ||
−0.937726 | + | 0.347374i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
64.9046 | 2.21840 | |||||||||
13.3680 | + | 23.1541i | 0.456642 | + | 0.790928i | 0.998781 | − | 0.0493613i | ||
−0.542139 | + | 0.840289i | ||||||||
0 | 0 | |||||||||
9.24411 | − | 16.0113i | 0.315405 | − | 0.546297i | −0.664119 | − | 0.747627i | ||
0.979523 | + | 0.201330i | ||||||||
17.2581 | − | 29.8918i | 0.588495 | − | 1.01930i | |||||
0 | 0 | |||||||||
19.5344 | + | 33.8346i | 0.665345 | + | 1.15241i | |||||
9.14786 | 0.311397 | 0.155698 | − | 0.987805i | ||||||
0.155698 | + | 0.987805i | ||||||||
0 | 0 | |||||||||
22.1445 | 0.752937 | |||||||||
49.7473 | + | 86.1649i | 1.69048 | + | 2.92800i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1.65865 | − | 2.87287i | 0.0562660 | − | 0.0974555i | |||||
0 | 0 | |||||||||
0.876423 | + | 1.51801i | 0.0296964 | + | 0.0514358i | |||||
−13.1445 | −0.445130 | |||||||||
0 | 0 | |||||||||
−22.5683 | −0.763385 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11.3442 | + | 19.6487i | −0.383065 | + | 0.663488i | −0.991499 | − | 0.130117i | ||
0.608434 | + | 0.793605i | ||||||||
15.3301 | − | 26.5525i | 0.517366 | − | 0.896104i | |||||
0 | 0 | |||||||||
3.21683 | + | 5.57172i | 0.108439 | + | 0.187823i | |||||
−15.3696 | −0.517815 | −0.258907 | − | 0.965902i | ||||||
−0.258907 | + | 0.965902i | ||||||||
0 | 0 | |||||||||
29.6372 | 0.997370 | 0.498685 | − | 0.866783i | ||||||
0.498685 | + | 0.866783i | ||||||||
−4.79153 | − | 8.29918i | −0.161157 | − | 0.279132i | |||||
0 | 0 | |||||||||
10.1259 | − | 17.5385i | 0.340185 | − | 0.589219i | |||||
−9.38252 | + | 16.2510i | −0.315034 | + | 0.545655i | −0.979445 | − | 0.201712i | ||
0.664410 | + | 0.747368i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
133.482 | 4.47432 | |||||||||
0 | 0 | |||||||||
−94.9014 | −3.17753 | |||||||||
6.23258 | + | 10.7952i | 0.208565 | + | 0.361246i | |||||
0 | 0 | |||||||||
16.7047 | − | 28.9335i | 0.558378 | − | 0.967139i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−6.94445 | − | 12.0281i | −0.231739 | − | 0.401384i | |||||
−53.7416 | −1.79238 | |||||||||
0 | 0 | |||||||||
−17.3289 | −0.577310 | |||||||||
3.75700 | + | 6.50731i | 0.125094 | + | 0.216670i | |||||
0 | 0 | |||||||||
35.2527 | − | 61.0595i | 1.17249 | − | 2.03081i | |||||
−21.8530 | + | 37.8505i | −0.726419 | + | 1.25819i | |||||
0 | 0 | |||||||||
15.5541 | + | 26.9405i | 0.516465 | + | 0.894543i | 0.999817 | + | 0.0191175i | ||
−0.483352 | + | 0.875426i | ||||||||
24.8045 | 0.823165 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8.73764 | + | 15.1340i | 0.289491 | + | 0.501413i | 0.973688 | − | 0.227884i | ||
−0.684197 | + | 0.729297i | ||||||||
0 | 0 | |||||||||
−2.47347 | + | 4.28418i | −0.0818600 | + | 0.141786i | |||||
6.23599 | − | 10.8010i | 0.206268 | − | 0.357267i | |||||
0 | 0 | |||||||||
−2.96027 | − | 5.12734i | −0.0978101 | − | 0.169412i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
42.1986 | 1.39200 | 0.696002 | − | 0.718040i | ||||||
0.696002 | + | 0.718040i | ||||||||
−42.9635 | − | 74.4150i | −1.41647 | − | 2.45339i | |||||
0 | 0 | |||||||||
9.56720 | − | 16.5709i | 0.315079 | − | 0.545733i | |||||
−2.05927 | + | 3.56676i | −0.0677818 | + | 0.117401i | |||||
0 | 0 | |||||||||
−9.75370 | − | 16.8939i | −0.320700 | − | 0.555468i | |||||
22.5873 | 0.742266 | |||||||||
0 | 0 | |||||||||
4.12588 | 0.135439 | |||||||||
24.2056 | + | 41.9253i | 0.794159 | + | 1.37552i | 0.923372 | + | 0.383907i | ||
−0.129213 | + | 0.991617i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−26.8551 | + | 46.5145i | −0.879670 | + | 1.52363i | |||||
0 | 0 | |||||||||
16.9350 | + | 29.3322i | 0.554129 | + | 0.959780i | |||||
7.21926 | 0.236095 | |||||||||
0 | 0 | |||||||||
−22.6750 | −0.740762 | −0.370381 | − | 0.928880i | ||||||
−0.370381 | + | 0.928880i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−46.8353 | + | 81.1211i | −1.52760 | + | 2.64588i | |||||
−24.9753 | + | 43.2584i | −0.814170 | + | 1.41018i | 0.0957523 | + | 0.995405i | ||
−0.909922 | + | 0.414779i | ||||||||
0 | 0 | |||||||||
−17.4613 | − | 30.2438i | −0.568617 | − | 0.984873i | |||||
−26.4769 | −0.861749 | |||||||||
0 | 0 | |||||||||
−2.32743 | −0.0756713 | |||||||||
8.85613 | + | 15.3393i | 0.287786 | + | 0.498459i | 0.973281 | − | 0.229618i | ||
−0.685495 | + | 0.728077i | ||||||||
0 | 0 | |||||||||
0.480350 | − | 0.831990i | 0.0155928 | − | 0.0270075i | |||||
−20.3496 | + | 35.2466i | −0.660230 | + | 1.14355i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−38.0229 | −1.23168 | −0.615842 | − | 0.787870i | ||||||
−0.615842 | + | 0.787870i | ||||||||
0 | 0 | |||||||||
−33.4358 | −1.08196 | |||||||||
39.3017 | + | 68.0726i | 1.27111 | + | 2.20163i | |||||
0 | 0 | |||||||||
−10.7177 | + | 18.5635i | −0.346272 | + | 0.599761i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9.19076 | − | 15.9189i | −0.296476 | − | 0.513512i | |||||
2.78771 | 0.0898795 | |||||||||
0 | 0 | |||||||||
−20.4881 | −0.659876 | |||||||||
−30.9894 | − | 53.6752i | −0.997583 | − | 1.72786i | |||||
0 | 0 | |||||||||
15.5064 | − | 26.8579i | 0.498652 | − | 0.863691i | −0.501346 | − | 0.865247i | ||
0.999999 | + | 0.00155529i | ||||||||
−27.3801 | + | 47.4236i | −0.880028 | + | 1.52425i | |||||
0 | 0 | |||||||||
−42.6972 | − | 73.9537i | −1.37092 | − | 2.37451i | |||||
14.5675 | 0.467494 | 0.233747 | − | 0.972297i | ||||||
0.233747 | + | 0.972297i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−22.1893 | − | 38.4330i | −0.710991 | − | 1.23147i | |||||
0 | 0 | |||||||||
17.3684 | − | 30.0830i | 0.555949 | − | 0.962932i | |||||
−23.9399 | + | 41.4651i | −0.765904 | + | 1.32659i | 0.173863 | + | 0.984770i | ||
−0.939767 | + | 0.341815i | ||||||||
0 | 0 | |||||||||
−3.01364 | − | 5.21978i | −0.0963163 | − | 0.166825i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5.03638 | 0.160717 | |||||||||
−22.2128 | − | 38.4737i | −0.708479 | − | 1.22712i | −0.965421 | − | 0.260695i | ||
0.256942 | − | 0.966427i | ||||||||
0 | 0 | |||||||||
−38.9902 | + | 67.5329i | −1.24233 | + | 2.15178i | |||||
45.6864 | − | 79.1313i | 1.45495 | − | 2.52005i | |||||
0 | 0 | |||||||||
−1.94738 | − | 3.37296i | −0.0619544 | − | 0.107308i | |||||
10.8171 | 0.343964 | |||||||||
0 | 0 | |||||||||
−41.6156 | −1.32196 | −0.660981 | − | 0.750403i | ||||||
−0.660981 | + | 0.750403i | ||||||||
1.89557 | + | 3.28322i | 0.0601844 | + | 0.104242i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−18.2434 | + | 31.5985i | −0.578354 | + | 1.00174i | |||||
0 | 0 | |||||||||
−6.51407 | − | 11.2827i | −0.206303 | − | 0.357327i | 0.744244 | − | 0.667908i | ||
−0.950547 | + | 0.310581i | ||||||||
96.1751 | 3.04437 | |||||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1323.2.f.g.442.5 | 12 | ||
3.2 | odd | 2 | 441.2.f.g.148.2 | yes | 12 | ||
7.2 | even | 3 | 1323.2.g.g.361.6 | 12 | |||
7.3 | odd | 6 | 1323.2.h.g.226.2 | 12 | |||
7.4 | even | 3 | 1323.2.h.g.226.1 | 12 | |||
7.5 | odd | 6 | 1323.2.g.g.361.5 | 12 | |||
7.6 | odd | 2 | inner | 1323.2.f.g.442.6 | 12 | ||
9.2 | odd | 6 | 441.2.f.g.295.2 | yes | 12 | ||
9.4 | even | 3 | 3969.2.a.bd.1.2 | 6 | |||
9.5 | odd | 6 | 3969.2.a.be.1.5 | 6 | |||
9.7 | even | 3 | inner | 1323.2.f.g.883.5 | 12 | ||
21.2 | odd | 6 | 441.2.g.g.67.1 | 12 | |||
21.5 | even | 6 | 441.2.g.g.67.2 | 12 | |||
21.11 | odd | 6 | 441.2.h.g.373.5 | 12 | |||
21.17 | even | 6 | 441.2.h.g.373.6 | 12 | |||
21.20 | even | 2 | 441.2.f.g.148.1 | ✓ | 12 | ||
63.2 | odd | 6 | 441.2.h.g.214.5 | 12 | |||
63.11 | odd | 6 | 441.2.g.g.79.1 | 12 | |||
63.13 | odd | 6 | 3969.2.a.bd.1.1 | 6 | |||
63.16 | even | 3 | 1323.2.h.g.802.1 | 12 | |||
63.20 | even | 6 | 441.2.f.g.295.1 | yes | 12 | ||
63.25 | even | 3 | 1323.2.g.g.667.6 | 12 | |||
63.34 | odd | 6 | inner | 1323.2.f.g.883.6 | 12 | ||
63.38 | even | 6 | 441.2.g.g.79.2 | 12 | |||
63.41 | even | 6 | 3969.2.a.be.1.6 | 6 | |||
63.47 | even | 6 | 441.2.h.g.214.6 | 12 | |||
63.52 | odd | 6 | 1323.2.g.g.667.5 | 12 | |||
63.61 | odd | 6 | 1323.2.h.g.802.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.f.g.148.1 | ✓ | 12 | 21.20 | even | 2 | ||
441.2.f.g.148.2 | yes | 12 | 3.2 | odd | 2 | ||
441.2.f.g.295.1 | yes | 12 | 63.20 | even | 6 | ||
441.2.f.g.295.2 | yes | 12 | 9.2 | odd | 6 | ||
441.2.g.g.67.1 | 12 | 21.2 | odd | 6 | |||
441.2.g.g.67.2 | 12 | 21.5 | even | 6 | |||
441.2.g.g.79.1 | 12 | 63.11 | odd | 6 | |||
441.2.g.g.79.2 | 12 | 63.38 | even | 6 | |||
441.2.h.g.214.5 | 12 | 63.2 | odd | 6 | |||
441.2.h.g.214.6 | 12 | 63.47 | even | 6 | |||
441.2.h.g.373.5 | 12 | 21.11 | odd | 6 | |||
441.2.h.g.373.6 | 12 | 21.17 | even | 6 | |||
1323.2.f.g.442.5 | 12 | 1.1 | even | 1 | trivial | ||
1323.2.f.g.442.6 | 12 | 7.6 | odd | 2 | inner | ||
1323.2.f.g.883.5 | 12 | 9.7 | even | 3 | inner | ||
1323.2.f.g.883.6 | 12 | 63.34 | odd | 6 | inner | ||
1323.2.g.g.361.5 | 12 | 7.5 | odd | 6 | |||
1323.2.g.g.361.6 | 12 | 7.2 | even | 3 | |||
1323.2.g.g.667.5 | 12 | 63.52 | odd | 6 | |||
1323.2.g.g.667.6 | 12 | 63.25 | even | 3 | |||
1323.2.h.g.226.1 | 12 | 7.4 | even | 3 | |||
1323.2.h.g.226.2 | 12 | 7.3 | odd | 6 | |||
1323.2.h.g.802.1 | 12 | 63.16 | even | 3 | |||
1323.2.h.g.802.2 | 12 | 63.61 | odd | 6 | |||
3969.2.a.bd.1.1 | 6 | 63.13 | odd | 6 | |||
3969.2.a.bd.1.2 | 6 | 9.4 | even | 3 | |||
3969.2.a.be.1.5 | 6 | 9.5 | odd | 6 | |||
3969.2.a.be.1.6 | 6 | 63.41 | even | 6 |