Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 891.n (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 |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 433.6 | ||
Character | 891.433 | ||
Dual form | 891.2.n.l.784.6 |
-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 .
−0.0658016 | + | 0.626061i | −0.0465288 | + | 0.442692i | 0.946313 | + | 0.323253i | ||
−0.992842 | + | 0.119439i | ||||||||
0 | 0 | |||||||||
1.56867 | + | 0.333432i | 0.784336 | + | 0.166716i | |||||
−0.142868 | − | 1.35930i | −0.0638925 | − | 0.607896i | −0.978883 | − | 0.204421i | ||
0.914991 | − | 0.403475i | ||||||||
0 | 0 | |||||||||
−0.393445 | + | 0.436965i | −0.148708 | + | 0.165157i | −0.812897 | − | 0.582408i | ||
0.664188 | + | 0.747565i | ||||||||
−0.701028 | + | 2.15754i | −0.247851 | + | 0.762806i | |||||
0 | 0 | |||||||||
0.860404 | 0.272084 | |||||||||
0.927090 | − | 3.18442i | 0.279528 | − | 0.960138i | |||||
0 | 0 | |||||||||
3.47139 | − | 1.54556i | 0.962791 | − | 0.428662i | 0.135712 | − | 0.990748i | ||
0.827079 | + | 0.562086i | ||||||||
−0.247677 | − | 0.275073i | −0.0661945 | − | 0.0735165i | |||||
0 | 0 | |||||||||
1.62551 | + | 0.723726i | 0.406379 | + | 0.180931i | |||||
−0.156539 | + | 0.113732i | −0.0379663 | + | 0.0275842i | −0.606607 | − | 0.795002i | ||
0.568640 | + | 0.822586i | ||||||||
0 | 0 | |||||||||
−0.601281 | + | 1.85055i | −0.137943 | + | 0.424546i | −0.996036 | − | 0.0889487i | ||
0.858093 | + | 0.513494i | ||||||||
0.229120 | − | 2.17993i | 0.0512328 | − | 0.487447i | |||||
0 | 0 | |||||||||
1.93263 | + | 0.789954i | 0.412039 | + | 0.168419i | |||||
0.160616 | − | 0.278195i | 0.0334907 | − | 0.0580076i | −0.848794 | − | 0.528723i | ||
0.882285 | + | 0.470716i | ||||||||
0 | 0 | |||||||||
3.06346 | − | 0.651158i | 0.612692 | − | 0.130232i | |||||
0.739193 | + | 2.27500i | 0.144968 | + | 0.446165i | |||||
0 | 0 | |||||||||
−0.762884 | + | 0.554268i | −0.144172 | + | 0.104747i | |||||
2.79122 | − | 3.09996i | 0.518316 | − | 0.575649i | −0.425985 | − | 0.904730i | ||
0.944301 | + | 0.329082i | ||||||||
0 | 0 | |||||||||
5.14837 | − | 2.29220i | 0.924674 | − | 0.411692i | 0.111535 | − | 0.993761i | ||
0.813139 | + | 0.582069i | ||||||||
−2.82863 | + | 4.89933i | −0.500036 | + | 0.866088i | |||||
0 | 0 | |||||||||
−0.0609029 | − | 0.105487i | −0.0104448 | − | 0.0180908i | |||||
0.650176 | + | 0.472381i | 0.109900 | + | 0.0798469i | |||||
0 | 0 | |||||||||
3.17822 | + | 9.78156i | 0.522496 | + | 1.60808i | 0.769214 | + | 0.638991i | ||
−0.246718 | + | 0.969087i | ||||||||
−1.11899 | − | 0.498208i | −0.181525 | − | 0.0808199i | |||||
0 | 0 | |||||||||
3.03290 | + | 0.644662i | 0.479543 | + | 0.101930i | |||||
−4.59078 | − | 5.09857i | −0.716959 | − | 0.796263i | 0.269020 | − | 0.963135i | ||
−0.985979 | + | 0.166871i | ||||||||
0 | 0 | |||||||||
−3.40544 | − | 5.89840i | −0.519325 | − | 0.899497i | −0.999748 | − | 0.0224601i | ||
0.480423 | − | 0.877037i | ||||||||
2.51609 | − | 4.68619i | 0.379314 | − | 0.706469i | |||||
0 | 0 | |||||||||
0.163598 | + | 0.118861i | 0.0241212 | + | 0.0175251i | |||||
4.97666 | − | 1.05782i | 0.725920 | − | 0.154299i | 0.169892 | − | 0.985463i | ||
0.556028 | + | 0.831163i | ||||||||
0 | 0 | |||||||||
0.695560 | + | 6.61781i | 0.0993657 | + | 0.945401i | |||||
0.206084 | + | 1.96076i | 0.0291447 | + | 0.277293i | |||||
0 | 0 | |||||||||
5.96082 | − | 1.26701i | 0.826616 | − | 0.175703i | |||||
6.36368 | + | 4.62348i | 0.874119 | + | 0.635084i | 0.931689 | − | 0.363257i | ||
−0.0575702 | + | 0.998341i | ||||||||
0 | 0 | |||||||||
−4.46102 | − | 0.805240i | −0.601524 | − | 0.108579i | |||||
−0.666954 | − | 1.15520i | −0.0891255 | − | 0.154370i | |||||
0 | 0 | |||||||||
1.75710 | + | 1.95146i | 0.230718 | + | 0.256239i | |||||
−7.04719 | − | 1.49793i | −0.917465 | − | 0.195013i | −0.275103 | − | 0.961415i | ||
−0.642362 | + | 0.766401i | ||||||||
0 | 0 | |||||||||
−7.89061 | − | 3.51312i | −1.01029 | − | 0.449809i | −0.166245 | − | 0.986084i | ||
−0.844043 | + | 0.536275i | ||||||||
1.09629 | + | 3.37402i | 0.139229 | + | 0.428501i | |||||
0 | 0 | |||||||||
−0.00210888 | − | 0.00153219i | −0.000263611 | − | 0.000191524i | |||||
−2.59683 | − | 4.49784i | −0.322097 | − | 0.557889i | |||||
0 | 0 | |||||||||
4.54870 | − | 7.87858i | 0.555712 | − | 0.962522i | −0.442135 | − | 0.896948i | ||
0.997848 | − | 0.0655738i | ||||||||
−0.283481 | + | 0.126214i | −0.0343771 | + | 0.0153057i | |||||
0 | 0 | |||||||||
−0.338522 | + | 0.375966i | −0.0404611 | + | 0.0449366i | |||||
−2.31775 | + | 1.68394i | −0.275066 | + | 0.199847i | −0.716763 | − | 0.697317i | ||
0.441696 | + | 0.897165i | ||||||||
0 | 0 | |||||||||
0.131206 | + | 0.403812i | 0.0153565 | + | 0.0472626i | 0.958441 | − | 0.285290i | ||
−0.943085 | + | 0.332553i | ||||||||
−6.33298 | + | 1.34612i | −0.736194 | + | 0.156483i | |||||
0 | 0 | |||||||||
−1.56025 | + | 2.70242i | −0.178972 | + | 0.309989i | |||||
1.02672 | + | 1.65800i | 0.117005 | + | 0.188946i | |||||
0 | 0 | |||||||||
0.429138 | − | 4.08298i | 0.0482818 | − | 0.459371i | −0.943495 | − | 0.331388i | ||
0.991776 | − | 0.127983i | ||||||||
0.751525 | − | 2.31296i | 0.0840230 | − | 0.258596i | |||||
0 | 0 | |||||||||
3.49410 | − | 2.53861i | 0.385859 | − | 0.280343i | |||||
6.79686 | + | 3.02616i | 0.746052 | + | 0.332164i | 0.744310 | − | 0.667835i | ||
0.00174242 | + | 0.999998i | ||||||||
0 | 0 | |||||||||
0.176961 | + | 0.196535i | 0.0191941 | + | 0.0213172i | |||||
3.91684 | − | 1.74389i | 0.422364 | − | 0.188048i | |||||
0 | 0 | |||||||||
6.22060 | + | 4.23260i | 0.663118 | + | 0.451197i | |||||
−3.38915 | −0.359249 | −0.179625 | − | 0.983735i | ||||||
−0.179625 | + | 0.983735i | ||||||||
0 | 0 | |||||||||
−0.690444 | + | 2.12497i | −0.0723782 | + | 0.222757i | |||||
0.344713 | − | 0.382842i | 0.0359388 | − | 0.0399141i | |||||
0 | 0 | |||||||||
0.334788 | + | 3.18530i | 0.0345308 | + | 0.328538i | |||||
2.60135 | + | 0.552935i | 0.266893 | + | 0.0567299i | |||||
0 | 0 | |||||||||
−0.675694 | + | 6.42880i | −0.0686063 | + | 0.652746i | 0.905141 | + | 0.425112i | ||
−0.973747 | + | 0.227633i | ||||||||
−4.18892 | −0.423145 | |||||||||
0 | 0 | |||||||||
5.02268 | 0.502268 | |||||||||
−1.93351 | + | 18.3961i | −0.192391 | + | 1.83048i | 0.292921 | + | 0.956137i | ||
−0.485312 | + | 0.874341i | ||||||||
0 | 0 | |||||||||
−3.16596 | − | 0.672945i | −0.311951 | − | 0.0663072i | 0.0492758 | − | 0.998785i | ||
−0.361227 | + | 0.932478i | ||||||||
0.901075 | + | 8.57316i | 0.0883577 | + | 0.840667i | |||||
0 | 0 | |||||||||
−3.31332 | + | 3.67982i | −0.321818 | + | 0.357416i | |||||
−5.21311 | + | 16.0443i | −0.503970 | + | 1.55106i | 0.298524 | + | 0.954402i | ||
−0.802495 | + | 0.596659i | ||||||||
0 | 0 | |||||||||
8.90745 | 0.853179 | 0.426589 | − | 0.904445i | ||||||
0.426589 | + | 0.904445i | ||||||||
0.797672 | − | 2.73988i | 0.0760550 | − | 0.261238i | |||||
0 | 0 | |||||||||
−0.955793 | + | 0.425547i | −0.0903140 | + | 0.0402104i | |||||
−1.93074 | − | 2.14430i | −0.181629 | − | 0.201719i | 0.645454 | − | 0.763799i | ||
−0.827083 | + | 0.562080i | ||||||||
0 | 0 | |||||||||
−0.401097 | − | 0.178580i | −0.0374024 | − | 0.0166526i | |||||
5.41213 | − | 3.93215i | 0.502504 | − | 0.365091i | |||||
0 | 0 | |||||||||
1.40151 | − | 4.31340i | 0.129019 | − | 0.397081i | |||||
0.0118925 | − | 0.113150i | 0.00109018 | − | 0.0103724i | |||||
0 | 0 | |||||||||
−9.28101 | − | 5.90448i | −0.843728 | − | 0.536771i | |||||
2.71864 | − | 4.70883i | 0.246134 | − | 0.426317i | |||||
0 | 0 | |||||||||
8.84040 | − | 1.87908i | 0.793891 | − | 0.168747i | |||||
−3.43459 | − | 10.5706i | −0.307199 | − | 0.945461i | |||||
0 | 0 | |||||||||
1.03914 | − | 0.754980i | 0.0922088 | − | 0.0669936i | −0.540726 | − | 0.841199i | ||
0.632934 | + | 0.774205i | ||||||||
−7.56980 | + | 8.40711i | −0.669082 | + | 0.743091i | |||||
0 | 0 | |||||||||
2.98680 | − | 1.32981i | 0.261960 | − | 0.116632i | |||||
−3.16899 | + | 5.48885i | −0.276876 | + | 0.479563i | −0.970607 | − | 0.240671i | ||
0.693731 | + | 0.720234i | ||||||||
0 | 0 | |||||||||
−0.572055 | − | 0.990829i | −0.0496035 | − | 0.0859157i | |||||
4.63316 | + | 3.36619i | 0.400244 | + | 0.290794i | |||||
0 | 0 | |||||||||
−0.135644 | − | 0.417470i | −0.0116314 | − | 0.0357977i | |||||
15.1320 | + | 6.73719i | 1.29281 | + | 0.575597i | 0.933820 | − | 0.357744i | ||
0.358992 | + | 0.933341i | ||||||||
0 | 0 | |||||||||
−17.0679 | − | 3.62789i | −1.44768 | − | 0.307713i | −0.583998 | − | 0.811755i | ||
−0.863679 | + | 0.504041i | ||||||||
0.862407 | + | 0.957800i | 0.0728867 | + | 0.0809489i | |||||
0 | 0 | |||||||||
−0.901739 | − | 1.56186i | −0.0756723 | − | 0.131068i | |||||
−1.70342 | − | 12.4872i | −0.142447 | − | 1.04423i | |||||
0 | 0 | |||||||||
−4.61255 | − | 3.35121i | −0.383051 | − | 0.278303i | |||||
−0.261444 | + | 0.0555717i | −0.0216373 | + | 0.00459915i | |||||
0 | 0 | |||||||||
1.72411 | + | 16.4038i | 0.141721 | + | 1.34838i | |||||
−0.659140 | − | 6.27130i | −0.0539989 | − | 0.513765i | −0.987773 | − | 0.155901i | ||
0.933774 | − | 0.357864i | ||||||||
0 | 0 | |||||||||
−15.8769 | + | 3.37473i | −1.29204 | + | 0.274632i | −0.802135 | − | 0.597143i | ||
−0.489907 | + | 0.871775i | ||||||||
−3.57113 | − | 2.59458i | −0.289657 | − | 0.210448i | |||||
0 | 0 | |||||||||
−1.10557 | + | 0.533690i | −0.0890892 | + | 0.0430059i | |||||
−3.85132 | − | 6.67068i | −0.309346 | − | 0.535802i | |||||
0 | 0 | |||||||||
−11.4048 | − | 12.6663i | −0.910202 | − | 1.01088i | −0.999889 | − | 0.0149120i | ||
0.0896865 | − | 0.995970i | ||||||||
2.52795 | + | 0.537333i | 0.201113 | + | 0.0427479i | |||||
0 | 0 | |||||||||
7.06378 | + | 3.14500i | 0.558440 | + | 0.248634i | |||||
0.0583679 | + | 0.179638i | 0.00460003 | + | 0.0141574i | |||||
0 | 0 | |||||||||
−15.0263 | − | 10.9173i | −1.17695 | − | 0.855105i | −0.185127 | − | 0.982715i | ||
−0.991824 | + | 0.127609i | ||||||||
−5.50140 | − | 9.52870i | −0.429587 | − | 0.744067i | |||||
0 | 0 | |||||||||
−2.34180 | + | 4.05612i | −0.181759 | + | 0.314816i | |||||
8.64837 | − | 3.85050i | 0.669231 | − | 0.297961i | −0.0438545 | − | 0.999038i | ||
0.713085 | + | 0.701077i | ||||||||
0 | 0 | |||||||||
0.963092 | − | 1.06962i | 0.0740840 | − | 0.0822786i | |||||
−0.134687 | + | 0.0978558i | −0.0103300 | + | 0.00750520i | |||||
0 | 0 | |||||||||
−3.37531 | − | 10.3881i | −0.257365 | − | 0.792088i | |||||
−17.5754 | + | 3.73576i | −1.33623 | + | 0.284025i | −0.819970 | − | 0.572406i | ||
−0.516261 | + | 0.856431i | ||||||||
0 | 0 | |||||||||
−0.920769 | + | 1.59482i | −0.0696036 | + | 0.120557i | |||||
3.81164 | − | 4.50536i | 0.287313 | − | 0.339604i | |||||
0 | 0 | |||||||||
0.223012 | − | 2.12182i | 0.0167154 | − | 0.159037i | |||||
8.17595 | − | 25.1630i | 0.611099 | − | 1.88077i | 0.163474 | − | 0.986548i | ||
0.447625 | − | 0.894221i | ||||||||
0 | 0 | |||||||||
0.711098 | − | 0.516643i | 0.0528555 | − | 0.0384018i | −0.561044 | − | 0.827786i | ||
0.613899 | + | 0.789384i | ||||||||
−1.28493 | − | 0.572087i | −0.0952452 | − | 0.0424059i | |||||
0 | 0 | |||||||||
0.487621 | + | 0.541558i | 0.0359479 | + | 0.0399242i | |||||
12.8420 | − | 5.71762i | 0.944161 | − | 0.420368i | |||||
0 | 0 | |||||||||
0.217045 | + | 0.603926i | 0.0158719 | + | 0.0441635i | |||||
8.15946 | 0.595090 | |||||||||
0 | 0 | |||||||||
−0.517344 | + | 1.59222i | −0.0375321 | + | 0.115512i | |||||
10.3859 | − | 11.5347i | 0.751496 | − | 0.834621i | −0.239163 | − | 0.970979i | ||
0.990660 | + | 0.136358i | ||||||||
0 | 0 | |||||||||
−1.01127 | − | 9.62158i | −0.0727927 | − | 0.692577i | −0.968683 | − | 0.248301i | ||
0.895890 | − | 0.444276i | ||||||||
−3.98036 | − | 0.846051i | −0.285773 | − | 0.0607429i | |||||
0 | 0 | |||||||||
−1.11548 | + | 10.6131i | −0.0796773 | + | 0.758079i | |||||
−26.0364 | −1.85502 | −0.927508 | − | 0.373803i | ||||||
−0.927508 | + | 0.373803i | ||||||||
0 | 0 | |||||||||
−20.4538 | −1.44993 | −0.724967 | − | 0.688784i | ||||||
−0.724967 | + | 0.688784i | ||||||||
−0.742669 | + | 7.06602i | −0.0525146 | + | 0.499643i | |||||
0 | 0 | |||||||||
−11.3898 | − | 2.42098i | −0.801386 | − | 0.170340i | |||||
0.256384 | + | 2.43933i | 0.0179946 | + | 0.171207i | |||||
0 | 0 | |||||||||
−6.27461 | + | 6.96866i | −0.438237 | + | 0.486712i | |||||
0.629630 | − | 1.93780i | 0.0438684 | − | 0.135013i | |||||
0 | 0 | |||||||||
6.76136 | 0.468816 | |||||||||
5.33548 | + | 3.63035i | 0.369063 | + | 0.251117i | |||||
0 | 0 | |||||||||
−14.5408 | + | 6.47396i | −1.00103 | + | 0.445686i | −0.840772 | − | 0.541389i | ||
−0.160255 | + | 0.987076i | ||||||||
8.44092 | + | 9.37459i | 0.579725 | + | 0.643849i | |||||
0 | 0 | |||||||||
−9.70168 | − | 4.31947i | −0.663193 | − | 0.295273i | |||||
−7.53115 | + | 5.47170i | −0.513620 | + | 0.373167i | |||||
0 | 0 | |||||||||
−1.02399 | + | 3.15151i | −0.0695128 | + | 0.213939i | |||||
−0.586125 | + | 5.57660i | −0.0396974 | + | 0.377695i | |||||
0 | 0 | |||||||||
−6.72939 | − | 2.75060i | −0.453695 | − | 0.185446i | |||||
−0.367628 | + | 0.636751i | −0.0247294 | + | 0.0428325i | |||||
0 | 0 | |||||||||
−2.44695 | + | 0.520115i | −0.163860 | + | 0.0348294i | −0.289111 | − | 0.957296i | ||
0.125251 | + | 0.992125i | ||||||||
−1.02793 | − | 3.16363i | −0.0686812 | − | 0.211379i | |||||
0 | 0 | |||||||||
1.46951 | − | 1.06766i | 0.0977504 | − | 0.0710198i | |||||
−10.7822 | + | 11.9749i | −0.715641 | + | 0.794800i | −0.985783 | − | 0.168021i | ||
0.270143 | + | 0.962820i | ||||||||
0 | 0 | |||||||||
3.01903 | − | 1.34416i | 0.199503 | − | 0.0888245i | −0.304553 | − | 0.952495i | ||
0.504056 | + | 0.863671i | ||||||||
0.138195 | − | 0.239360i | 0.00911228 | − | 0.0157829i | |||||
0 | 0 | |||||||||
4.73158 | + | 8.19533i | 0.310643 | + | 0.538050i | |||||
3.48837 | + | 2.53445i | 0.228531 | + | 0.166037i | 0.696158 | − | 0.717888i | ||
−0.467627 | + | 0.883926i | ||||||||
0 | 0 | |||||||||
−2.14890 | − | 6.61363i | −0.140179 | − | 0.431426i | |||||
−10.5553 | − | 4.69951i | −0.687090 | − | 0.305912i | |||||
0 | 0 | |||||||||
0.0700560 | + | 0.0148909i | 0.00454105 | + | 0.000965231i | |||||
10.0638 | + | 11.1770i | 0.650974 | + | 0.722980i | 0.974786 | − | 0.223141i | ||
−0.323812 | + | 0.946121i | ||||||||
0 | 0 | |||||||||
−6.88547 | − | 11.9260i | −0.443532 | − | 0.768220i | 0.554417 | − | 0.832239i | ||
−0.997949 | + | 0.0640192i | ||||||||
4.30727 | − | 5.42195i | 0.276882 | − | 0.348536i | |||||
0 | 0 | |||||||||
−11.2064 | − | 8.14192i | −0.717416 | − | 0.521233i | |||||
8.89620 | − | 1.89095i | 0.568357 | − | 0.120808i | |||||
0 | 0 | |||||||||
0.772863 | + | 7.35330i | 0.0491761 | + | 0.467880i | |||||
1.33637 | + | 12.7147i | 0.0848596 | + | 0.807386i | |||||
0 | 0 | |||||||||
6.84382 | − | 1.45470i | 0.432841 | − | 0.0920033i | |||||
22.3625 | + | 16.2473i | 1.41151 | + | 1.02552i | 0.993101 | + | 0.117264i | ||
0.418409 | + | 0.908259i | ||||||||
0 | 0 | |||||||||
−0.736983 | − | 0.769379i | −0.0463337 | − | 0.0483705i | |||||
0.404286 | + | 0.700244i | 0.0253672 | + | 0.0439372i | |||||
0 | 0 | |||||||||
−4.76875 | − | 5.29623i | −0.298047 | − | 0.331014i | |||||
−10.7426 | − | 2.28340i | −0.670103 | − | 0.142435i | −0.139718 | − | 0.990191i | ||
−0.530385 | + | 0.847757i | ||||||||
0 | 0 | |||||||||
−5.52465 | − | 2.45973i | −0.343285 | − | 0.152840i | |||||
−2.57385 | − | 7.92151i | −0.159624 | − | 0.491271i | |||||
0 | 0 | |||||||||
−3.22783 | − | 2.34516i | −0.199416 | − | 0.144884i | |||||
−8.97517 | − | 15.5455i | −0.553433 | − | 0.958574i | −0.998024 | − | 0.0628399i | ||
0.444591 | − | 0.895734i | ||||||||
0 | 0 | |||||||||
5.37553 | − | 9.31068i | 0.330216 | − | 0.571951i | |||||
0.657961 | − | 0.292943i | 0.0403422 | − | 0.0179615i | |||||
0 | 0 | |||||||||
9.76239 | − | 10.8422i | 0.596333 | − | 0.662295i | |||||
−19.5359 | + | 14.1937i | −1.19113 | + | 0.865404i | −0.993383 | − | 0.114850i | ||
−0.197743 | + | 0.980254i | ||||||||
0 | 0 | |||||||||
−4.49596 | − | 13.8371i | −0.273110 | − | 0.840547i | −0.989713 | − | 0.143065i | ||
0.716603 | − | 0.697481i | ||||||||
−0.336768 | + | 0.0715822i | −0.0204195 | + | 0.00434031i | |||||
0 | 0 | |||||||||
−5.21360 | + | 9.03022i | −0.314965 | + | 0.545535i | |||||
0.766543 | − | 10.3590i | 0.0462243 | − | 0.624672i | |||||
0 | 0 | |||||||||
−2.52035 | + | 23.9795i | −0.151433 | + | 1.44079i | 0.609925 | + | 0.792459i | ||
−0.761358 | + | 0.648332i | ||||||||
3.39437 | − | 10.4468i | 0.203581 | − | 0.626558i | |||||
0 | 0 | |||||||||
−1.47497 | + | 1.07163i | −0.0881465 | + | 0.0640422i | |||||
1.08521 | + | 0.483167i | 0.0647382 | + | 0.0288233i | 0.438850 | − | 0.898560i | ||
−0.374112 | + | 0.927383i | ||||||||
0 | 0 | |||||||||
10.2726 | + | 11.4089i | 0.610645 | + | 0.678190i | 0.966593 | − | 0.256316i | ||
−0.355948 | + | 0.934506i | ||||||||
−4.19727 | + | 1.86875i | −0.249062 | + | 0.110890i | |||||
0 | 0 | |||||||||
7.92985 | − | 0.244767i | 0.468902 | − | 0.0144734i | |||||
4.03412 | 0.238126 | |||||||||
0 | 0 | |||||||||
−5.24172 | + | 16.1324i | −0.308336 | + | 0.948962i | |||||
2.40158 | − | 2.66722i | 0.141025 | − | 0.156625i | |||||
0 | 0 | |||||||||
0.0711762 | + | 0.677197i | 0.00416527 | + | 0.0396299i | |||||
31.3963 | + | 6.67348i | 1.83419 | + | 0.389869i | 0.989398 | − | 0.145227i | ||
0.844791 | + | 0.535096i | ||||||||
0 | 0 | |||||||||
−1.02931 | + | 9.79323i | −0.0599287 | + | 0.570184i | |||||
−23.3321 | −1.35615 | |||||||||
0 | 0 | |||||||||
3.96959 | 0.229952 | |||||||||
0.127593 | − | 1.21396i | 0.00737889 | − | 0.0702054i | |||||
0 | 0 | |||||||||
3.91725 | + | 0.832636i | 0.225786 | + | 0.0479924i | |||||
−1.06806 | − | 10.1619i | −0.0614602 | − | 0.584754i | |||||
0 | 0 | |||||||||
−2.31668 | + | 2.57294i | −0.132871 | + | 0.147568i | |||||
−3.64807 | + | 11.2276i | −0.208888 | + | 0.642890i | |||||
0 | 0 | |||||||||
33.1199 | 1.89025 | 0.945126 | − | 0.326707i | ||||||
0.945126 | + | 0.326707i | ||||||||
1.05776 | + | 2.94320i | 0.0602713 | + | 0.167704i | |||||
0 | 0 | |||||||||
4.42968 | − | 1.97222i | 0.251589 | − | 0.112015i | |||||
−22.7387 | − | 25.2539i | −1.28939 | − | 1.43201i | −0.843687 | − | 0.536835i | ||
−0.445705 | − | 0.895180i | ||||||||
0 | 0 | |||||||||
4.30580 | + | 1.91706i | 0.243378 | + | 0.108359i | 0.524801 | − | 0.851225i | ||
−0.281423 | + | 0.959584i | ||||||||
8.68034 | − | 6.30664i | 0.489860 | − | 0.355904i | |||||
0 | 0 | |||||||||
2.03457 | − | 6.26176i | 0.114454 | − | 0.352252i | |||||
−1.82058 | + | 17.3217i | −0.102254 | + | 0.972883i | 0.816311 | + | 0.577613i | ||
−0.918565 | + | 0.395270i | ||||||||
0 | 0 | |||||||||
−7.28386 | − | 11.7623i | −0.407818 | − | 0.658565i | |||||
−0.00178142 | + | 0.00308550i | −9.95842e−5 | + | 0.000172485i | |||||
0 | 0 | |||||||||
−0.116305 | + | 0.0247214i | −0.00648142 | + | 0.00137767i | |||||
−0.116344 | − | 0.358069i | −0.00647353 | − | 0.0199235i | |||||
0 | 0 | |||||||||
9.62806 | − | 6.99519i | 0.534068 | − | 0.388023i | |||||
7.82362 | − | 8.68901i | 0.433310 | − | 0.481240i | |||||
0 | 0 | |||||||||
14.2187 | − | 6.33055i | 0.785094 | − | 0.349546i | |||||
−1.49581 | + | 2.59082i | −0.0824667 | + | 0.142837i | |||||
0 | 0 | |||||||||
−6.48845 | − | 11.2383i | −0.356637 | − | 0.617714i | 0.630759 | − | 0.775978i | ||
−0.987397 | + | 0.158264i | ||||||||
9.65303 | + | 7.01334i | 0.529779 | + | 0.384907i | |||||
0 | 0 | |||||||||
1.84157 | + | 5.66778i | 0.100766 | + | 0.310127i | |||||
−11.3592 | − | 5.05744i | −0.620620 | − | 0.276318i | |||||
0 | 0 | |||||||||
10.1176 | + | 2.15056i | 0.551139 | + | 0.117148i | 0.475060 | − | 0.879954i | ||
0.0760793 | + | 0.997102i | ||||||||
0.606275 | + | 0.673337i | 0.0329770 | + | 0.0366247i | |||||
0 | 0 | |||||||||
0.212062 | + | 0.367303i | 0.0115007 | + | 0.0199198i | |||||
−2.52632 | − | 18.5196i | −0.136808 | − | 1.00289i | |||||
0 | 0 | |||||||||
−6.49530 | − | 4.71911i | −0.350713 | − | 0.254808i | |||||
15.1134 | − | 3.21244i | 0.814857 | − | 0.173203i | |||||
0 | 0 | |||||||||
−1.18233 | − | 11.2491i | −0.0635622 | − | 0.604754i | |||||
−0.642191 | − | 6.11004i | −0.0344746 | − | 0.328004i | −0.998144 | − | 0.0609047i | ||
0.963669 | − | 0.267099i | ||||||||
0 | 0 | |||||||||
−19.9329 | + | 4.23686i | −1.06698 | + | 0.226794i | −0.707756 | − | 0.706457i | ||
−0.359225 | + | 0.933251i | ||||||||
−0.937866 | − | 0.681399i | −0.0501310 | − | 0.0364223i | |||||
0 | 0 | |||||||||
12.9791 | + | 13.5497i | 0.691790 | + | 0.722200i | |||||
5.99407 | + | 10.3820i | 0.319032 | + | 0.552580i | 0.980286 | − | 0.197582i | ||
−0.661254 | + | 0.750162i | ||||||||
0 | 0 | |||||||||
2.62011 | + | 2.90993i | 0.139061 | + | 0.154443i | |||||
−5.31647 | − | 1.13005i | −0.281772 | − | 0.0598926i | |||||
0 | 0 | |||||||||
15.2156 | + | 6.77441i | 0.804167 | + | 0.358038i | |||||
5.52583 | + | 17.0067i | 0.291642 | + | 0.897582i | 0.984329 | + | 0.176343i | ||
−0.692687 | + | 0.721239i | ||||||||
0 | 0 | |||||||||
12.3083 | + | 8.94252i | 0.647806 | + | 0.470659i | |||||
0.276659 | + | 0.479187i | 0.0145409 | + | 0.0251855i | |||||
0 | 0 | |||||||||
−1.79161 | + | 3.10317i | −0.0939061 | + | 0.162650i | |||||
0.530155 | − | 0.236040i | 0.0277496 | − | 0.0123549i | |||||
0 | 0 | |||||||||
18.4810 | − | 20.5252i | 0.964699 | − | 1.07141i | −0.0327103 | − | 0.999465i | ||
0.997409 | − | 0.0719415i | ||||||||
0.462420 | − | 0.335968i | 0.0241053 | − | 0.0175135i | |||||
0 | 0 | |||||||||
2.73455 | + | 8.41609i | 0.142163 | + | 0.437532i | |||||
−4.52406 | + | 0.961618i | −0.234877 | + | 0.0499247i | |||||
0 | 0 | |||||||||
−6.19435 | + | 10.7289i | −0.320731 | + | 0.555523i | −0.980639 | − | 0.195824i | ||
0.659908 | + | 0.751347i | ||||||||
−0.392376 | + | 0.0961443i | −0.0202893 | + | 0.00497150i | |||||
0 | 0 | |||||||||
−1.20648 | + | 11.4789i | −0.0622196 | + | 0.591980i | |||||
4.89822 | − | 15.0752i | 0.252271 | − | 0.776411i | |||||
0 | 0 | |||||||||
−13.6170 | + | 9.89335i | −0.699459 | + | 0.508187i | −0.879756 | − | 0.475425i | ||
0.180297 | + | 0.983612i | ||||||||
3.89631 | + | 1.73475i | 0.199876 | + | 0.0889907i | |||||
0 | 0 | |||||||||
6.53801 | + | 7.26120i | 0.334514 | + | 0.371515i | |||||
−11.3727 | + | 5.06346i | −0.581119 | + | 0.258731i | −0.676175 | − | 0.736741i | ||
0.0950561 | + | 0.995472i | ||||||||
0 | 0 | |||||||||
2.10703 | − | 1.63249i | 0.107384 | − | 0.0831995i | |||||
6.09024 | 0.309985 | |||||||||
0 | 0 | |||||||||
−3.20351 | + | 9.85939i | −0.162634 | + | 0.500534i | |||||
0.822220 | − | 0.913167i | 0.0416882 | − | 0.0462994i | −0.721940 | − | 0.691956i | ||
0.763628 | + | 0.645656i | ||||||||
0 | 0 | |||||||||
0.00649708 | + | 0.0618156i | 0.000328572 | + | 0.00312615i | |||||
−14.7658 | − | 3.13857i | −0.745786 | − | 0.158522i | |||||
0 | 0 | |||||||||
1.71324 | − | 16.3004i | 0.0863117 | − | 0.821201i | |||||
−5.61129 | −0.282335 | |||||||||
0 | 0 | |||||||||
20.5917 | 1.03347 | 0.516734 | − | 0.856146i | ||||||
0.516734 | + | 0.856146i | ||||||||
1.34590 | − | 12.8053i | 0.0674637 | − | 0.641874i | |||||
0 | 0 | |||||||||
5.45096 | + | 1.15864i | 0.272548 | + | 0.0579318i | |||||
−0.704387 | − | 6.70180i | −0.0351754 | − | 0.334672i | −0.997931 | − | 0.0642977i | ||
0.962755 | − | 0.270374i | ||||||||
0 | 0 | |||||||||
14.3293 | − | 15.9143i | 0.713791 | − | 0.792745i | |||||
−9.16687 | + | 28.2127i | −0.456069 | + | 1.40364i | |||||
0 | 0 | |||||||||
−1.54404 | −0.0766294 | |||||||||
34.0950 | − | 1.05239i | 1.69003 | − | 0.0521653i | |||||
0 | 0 | |||||||||
26.6486 | − | 11.8647i | 1.31769 | − | 0.586672i | 0.377084 | − | 0.926179i | ||
0.940604 | + | 0.339507i | ||||||||
−3.94992 | − | 4.38683i | −0.195073 | − | 0.216650i | |||||
0 | 0 | |||||||||
−4.74197 | − | 2.11126i | −0.233620 | − | 0.104014i | |||||
3.42722 | − | 2.49002i | 0.168642 | − | 0.122526i | |||||
0 | 0 | |||||||||
3.14239 | − | 9.67129i | 0.154254 | − | 0.474745i | |||||
−2.24706 | + | 21.3793i | −0.110171 | + | 1.04821i | |||||
0 | 0 | |||||||||
−2.62391 | + | 3.10145i | −0.128339 | + | 0.151697i | |||||
−18.9851 | + | 32.8832i | −0.927483 | + | 1.60645i | −0.139965 | + | 0.990156i | ||
−0.787518 | + | 0.616292i | ||||||||
0 | 0 | |||||||||
7.93108 | − | 1.68580i | 0.386537 | − | 0.0821610i | −0.0105442 | − | 0.999944i | ||
0.397081 | + | 0.917783i | ||||||||
−3.09629 | − | 9.52940i | −0.150725 | − | 0.463884i | |||||
0 | 0 | |||||||||
−14.4365 | + | 10.4887i | −0.701098 | + | 0.509377i | |||||
−0.405494 | + | 0.450346i | −0.0196693 | + | 0.0218450i | |||||
0 | 0 | |||||||||
4.63963 | − | 2.06570i | 0.224527 | − | 0.0999661i | |||||
−13.5273 | + | 23.4301i | −0.653869 | + | 1.13253i | |||||
0 | 0 | |||||||||
−2.93006 | − | 5.07500i | −0.141300 | − | 0.244738i | |||||
24.6339 | + | 17.8976i | 1.18657 | + | 0.862095i | 0.992898 | − | 0.118971i | ||
0.193674 | + | 0.981066i | ||||||||
0 | 0 | |||||||||
7.44285 | + | 22.9067i | 0.357681 | + | 1.10083i | 0.954439 | + | 0.298407i | ||
−0.596758 | + | 0.802421i | ||||||||
−1.90566 | − | 0.848454i | −0.0914745 | − | 0.0407271i | |||||
0 | 0 | |||||||||
13.9729 | + | 2.97003i | 0.669179 | + | 0.142238i | |||||
0.418239 | + | 0.464501i | 0.0200071 | + | 0.0222201i | |||||
0 | 0 | |||||||||
−17.1588 | − | 29.7199i | −0.818943 | − | 1.41845i | −0.906461 | − | 0.422289i | ||
0.0875179 | − | 0.996163i | ||||||||
4.86464 | − | 9.06035i | 0.231913 | − | 0.431935i | |||||
0 | 0 | |||||||||
−0.374454 | − | 0.272057i | −0.0178110 | − | 0.0129404i | |||||
8.35358 | − | 1.77561i | 0.396890 | − | 0.0843617i | −0.00514270 | − | 0.999987i | ||
0.402033 | + | 0.915625i | ||||||||
0 | 0 | |||||||||
0.484201 | + | 4.60687i | 0.0229533 | + | 0.218386i | |||||
−0.164610 | − | 1.56616i | −0.00779452 | − | 0.0741599i | |||||
0 | 0 | |||||||||
0.00149924 | 0.000318674i | 7.08327e−5 | 1.50559e-5i | |||||||
29.8272 | + | 21.6707i | 1.40763 | + | 1.02271i | 0.993661 | + | 0.112416i | ||
0.413972 | + | 0.910290i | ||||||||
0 | 0 | |||||||||
−20.4920 | + | 9.89211i | −0.964933 | + | 0.465801i | |||||
−2.31372 | − | 4.00748i | −0.108828 | − | 0.188496i | |||||
0 | 0 | |||||||||
−6.78751 | − | 7.53829i | −0.318554 | − | 0.353790i | |||||
2.98711 | + | 0.634930i | 0.140038 | + | 0.0297660i | |||||
0 | 0 | |||||||||
21.6365 | + | 9.63318i | 1.01211 | + | 0.450621i | 0.844685 | − | 0.535264i | ||
0.167426 | + | 0.985885i | ||||||||
0.642868 | + | 1.97854i | 0.0300392 | + | 0.0924513i | |||||
0 | 0 | |||||||||
−0.569645 | − | 0.413871i | −0.0265598 | − | 0.0192969i | |||||
−14.3431 | − | 24.8430i | −0.668024 | − | 1.15705i | −0.978456 | − | 0.206456i | ||
0.310432 | − | 0.950596i | ||||||||
0 | 0 | |||||||||
−5.43156 | + | 9.40774i | −0.252426 | + | 0.437215i | −0.964193 | − | 0.265201i | ||
0.711767 | + | 0.702416i | ||||||||
6.78069 | − | 3.01896i | 0.314786 | − | 0.140152i | |||||
0 | 0 | |||||||||
−1.81626 | + | 2.01716i | −0.0841367 | + | 0.0934433i | |||||
−23.8560 | + | 17.3324i | −1.10392 | + | 0.802046i | −0.981696 | − | 0.190456i | ||
−0.122226 | + | 0.992502i | ||||||||
0 | 0 | |||||||||
1.65300 | + | 5.08741i | 0.0763285 | + | 0.234915i | |||||
4.28194 | − | 0.910154i | 0.197511 | − | 0.0419823i | |||||
0 | 0 | |||||||||
8.17211 | − | 14.1545i | 0.376152 | − | 0.651514i | |||||
−21.9401 | + | 5.37600i | −1.00881 | + | 0.247189i | |||||
0 | 0 | |||||||||
−0.636997 | + | 6.06062i | −0.0292274 | + | 0.278080i | |||||
0.0563831 | − | 0.173529i | 0.00258431 | − | 0.00795370i | |||||
0 | 0 | |||||||||
−7.65970 | + | 5.56510i | −0.350346 | + | 0.254542i | |||||
−19.5106 | − | 8.68669i | −0.891463 | − | 0.396905i | −0.0906944 | − | 0.995879i | ||
−0.800769 | + | 0.598974i | ||||||||
0 | 0 | |||||||||
26.1509 | + | 29.0435i | 1.19238 | + | 1.32427i | |||||
7.91947 | − | 3.52597i | 0.360722 | − | 0.160604i | |||||
0 | 0 | |||||||||
−12.5901 | − | 12.3568i | −0.572278 | − | 0.561672i | |||||
8.83519 | 0.401185 | |||||||||
0 | 0 | |||||||||
−0.703448 | + | 2.16499i | −0.0318763 | + | 0.0981051i | −0.965729 | − | 0.259553i | ||
0.933853 | + | 0.357658i | ||||||||
13.1112 | − | 14.5615i | 0.593518 | − | 0.659169i | |||||
0 | 0 | |||||||||
0.598463 | + | 5.69399i | 0.0270358 | + | 0.257228i | |||||
−9.31751 | − | 1.98050i | −0.420493 | − | 0.0893786i | −0.00719464 | − | 0.999974i | ||
−0.413299 | + | 0.910595i | ||||||||
0 | 0 | |||||||||
−0.0843690 | + | 0.802718i | −0.00379979 | + | 0.0361526i | |||||
−4.65447 | −0.209415 | |||||||||
0 | 0 | |||||||||
10.0277 | 0.450256 | |||||||||
0.176083 | − | 1.67531i | 0.00789838 | − | 0.0751481i | |||||
0 | 0 | |||||||||
12.4452 | + | 2.64531i | 0.557124 | + | 0.118420i | 0.477864 | − | 0.878434i | ||
0.0792598 | + | 0.996854i | ||||||||
−1.86318 | − | 17.7270i | −0.0833239 | − | 0.792774i | |||||
0 | 0 | |||||||||
−11.6433 | + | 12.9312i | −0.519666 | + | 0.577148i | |||||
1.78686 | − | 5.49939i | 0.0796722 | − | 0.245206i | −0.903285 | − | 0.429041i | ||
0.982957 | + | 0.183836i | ||||||||
0 | 0 | |||||||||
25.2820 | 1.12503 | |||||||||
0.530173 | − | 0.410770i | 0.0235691 | − | 0.0182609i | |||||
0 | 0 | |||||||||
1.88181 | − | 0.837834i | 0.0834916 | − | 0.0371729i | |||||
6.18794 | + | 6.87240i | 0.274275 | + | 0.304614i | 0.864508 | − | 0.502620i | ||
−0.590232 | + | 0.807234i | ||||||||
0 | 0 | |||||||||
−0.228074 | − | 0.101545i | −0.0100894 | − | 0.00449209i | |||||
−14.6751 | + | 10.6621i | −0.648553 | + | 0.471201i | |||||
0 | 0 | |||||||||
2.13643 | − | 6.57525i | 0.0942338 | − | 0.290022i | |||||
−0.462419 | + | 4.39962i | −0.0203766 | + | 0.193870i | |||||
0 | 0 | |||||||||
1.24527 | − | 16.8285i | 0.0547667 | − | 0.740114i | |||||
1.90347 | − | 3.29691i | 0.0836338 | − | 0.144858i | |||||
0 | 0 | |||||||||
11.5247 | − | 2.44966i | 0.505393 | − | 0.107425i | |||||
−7.83400 | − | 24.1106i | −0.343214 | − | 1.05630i | −0.962533 | − | 0.271164i | ||
0.619320 | − | 0.785139i | ||||||||
0 | 0 | |||||||||
−16.9781 | + | 12.3353i | −0.742398 | + | 0.539384i | −0.893461 | − | 0.449140i | ||
0.151063 | + | 0.988524i | ||||||||
−6.80127 | + | 7.55357i | −0.297115 | + | 0.329979i | |||||
0 | 0 | |||||||||
10.3230 | − | 4.59609i | 0.450103 | − | 0.200399i | |||||
−0.545224 | + | 0.944356i | −0.0237503 | + | 0.0411368i | |||||
0 | 0 | |||||||||
11.4484 | + | 19.8292i | 0.497757 | + | 0.862140i | |||||
5.47534 | + | 3.97806i | 0.237833 | + | 0.172796i | |||||
0 | 0 | |||||||||
−0.566994 | − | 1.74503i | −0.0245823 | − | 0.0756565i | |||||
−23.8165 | − | 10.6038i | −1.03161 | − | 0.459302i | |||||
0 | 0 | |||||||||
22.5538 | + | 4.79395i | 0.975085 | + | 0.207261i | |||||
13.8096 | + | 15.3371i | 0.596484 | + | 0.662463i | |||||
0 | 0 | |||||||||
−7.60061 | − | 13.1646i | −0.327686 | − | 0.567568i | |||||
21.7187 | + | 3.92035i | 0.935491 | + | 0.168862i | |||||
0 | 0 | |||||||||
9.02363 | + | 6.55605i | 0.387956 | + | 0.281867i | 0.764617 | − | 0.644484i | ||
−0.376661 | + | 0.926351i | ||||||||
8.95874 | − | 1.90424i | 0.384811 | − | 0.0817940i | |||||
0 | 0 | |||||||||
−0.114421 | − | 1.08865i | −0.00490577 | − | 0.0466753i | |||||
−1.27259 | − | 12.1079i | −0.0545117 | − | 0.518644i | |||||
0 | 0 | |||||||||
−5.96315 | + | 1.26751i | −0.254966 | + | 0.0541947i | −0.333621 | − | 0.942707i | ||
0.0786553 | + | 0.996902i | ||||||||
21.4907 | + | 15.6139i | 0.918038 | + | 0.666994i | |||||
0 | 0 | |||||||||
6.43493 | + | 1.16154i | 0.274386 | + | 0.0495283i | |||||
4.05833 | + | 7.02924i | 0.172891 | + | 0.299456i | |||||
0 | 0 | |||||||||
1.61527 | + | 1.79394i | 0.0686885 | + | 0.0762863i | |||||
−14.8468 | − | 3.15579i | −0.630780 | − | 0.134077i | |||||
0 | 0 | |||||||||
−25.5643 | − | 11.3819i | −1.08417 | − | 0.482702i | |||||
3.05982 | + | 9.41715i | 0.129649 | + | 0.399018i | 0.994719 | − | 0.102632i | ||
−0.865071 | + | 0.501650i | ||||||||
0 | 0 | |||||||||
−20.9380 | − | 15.2123i | −0.885581 | − | 0.643412i | |||||
0.714997 | + | 1.23841i | 0.0302141 | + | 0.0523324i | |||||
0 | 0 | |||||||||
−0.373900 | + | 0.647614i | −0.0157720 | + | 0.0273180i | |||||
−0.503872 | + | 0.224338i | −0.0212357 | + | 0.00945473i | −0.417327 | − | 0.908756i | ||
0.396091 | + | 0.918211i | ||||||||
0 | 0 | |||||||||
−2.63891 | + | 2.93080i | −0.111020 | + | 0.123300i | |||||
−7.81863 | + | 5.68057i | −0.328642 | + | 0.238772i | |||||
0 | 0 | |||||||||
−2.00837 | − | 6.18113i | −0.0842694 | − | 0.259355i | |||||
18.8280 | − | 4.00202i | 0.789313 | − | 0.167774i | 0.204419 | − | 0.978884i | ||
0.584894 | + | 0.811110i | ||||||||
0 | 0 | |||||||||
−13.7061 | + | 23.7396i | −0.573582 | + | 0.993473i | 0.422612 | + | 0.906311i | ||
−0.996194 | + | 0.0871624i | ||||||||
1.49152 | − | 20.1563i | 0.0623637 | − | 0.842779i | |||||
0 | 0 | |||||||||
−0.265451 | + | 2.52560i | −0.0110797 | + | 0.105417i | |||||
0.310891 | − | 0.956825i | 0.0129651 | − | 0.0399024i | |||||
0 | 0 | |||||||||
24.2732 | − | 17.6355i | 1.01050 | − | 0.734175i | 0.0461898 | − | 0.998933i | ||
0.964315 | + | 0.264758i | ||||||||
−9.75492 | − | 4.34317i | −0.405751 | − | 0.180652i | |||||
0 | 0 | |||||||||
−6.11818 | − | 6.79492i | −0.254043 | − | 0.282144i | |||||
−3.99651 | + | 1.77936i | −0.165803 | + | 0.0738204i | |||||
0 | 0 | |||||||||
20.6228 | − | 15.9782i | 0.854109 | − | 0.661750i | |||||
−0.963220 | −0.0398583 | |||||||||
0 | 0 | |||||||||
−6.24393 | + | 19.2169i | −0.257935 | + | 0.793841i | |||||
3.90905 | − | 4.34143i | 0.161344 | − | 0.179190i | −0.657052 | − | 0.753845i | ||
0.818396 | + | 0.574655i | ||||||||
0 | 0 | |||||||||
1.14622 | + | 10.9056i | 0.0472293 | + | 0.449357i | |||||
−6.06343 | − | 1.28882i | −0.249627 | − | 0.0530599i | |||||
0 | 0 | |||||||||
−1.91292 | + | 18.2002i | −0.0786205 | + | 0.748025i | |||||
−35.2941 | −1.44936 | −0.724678 | − | 0.689088i | ||||||
−0.724678 | + | 0.689088i | ||||||||
0 | 0 | |||||||||
−0.155503 | −0.00637500 | |||||||||
1.05707 | − | 10.0574i | 0.0432995 | − | 0.411967i | |||||
0 | 0 | |||||||||
0.751620 | + | 0.159762i | 0.0307360 | + | 0.00653315i | |||||
2.38691 | + | 22.7099i | 0.0975263 | + | 0.927901i | 0.928436 | + | 0.371493i | ||
−0.830909 | + | 0.556408i | ||||||||
0 | 0 | |||||||||
7.68359 | − | 8.53349i | 0.313420 | − | 0.348088i | −0.565767 | − | 0.824565i | ||
0.879187 | + | 0.476477i | ||||||||
−0.779042 | + | 2.39765i | −0.0317514 | + | 0.0977207i | |||||
0 | 0 | |||||||||
−26.0309 | −1.05918 | |||||||||
−6.69999 | + | 13.4592i | −0.272393 | + | 0.547195i | |||||
0 | 0 | |||||||||
11.8036 | − | 5.25531i | 0.479095 | − | 0.213307i | −0.152957 | − | 0.988233i | ||
0.632052 | + | 0.774926i | ||||||||
−7.36567 | − | 8.18040i | −0.298717 | − | 0.331759i | |||||
0 | 0 | |||||||||
−6.78911 | − | 3.02271i | −0.274883 | − | 0.122386i | |||||
15.6410 | − | 11.3639i | 0.632767 | − | 0.459732i | |||||
0 | 0 | |||||||||
7.44676 | − | 22.9188i | 0.300772 | − | 0.925680i | −0.680450 | − | 0.732795i | ||
0.981221 | − | 0.192885i | ||||||||
−2.17934 | + | 20.7351i | −0.0879511 | + | 0.836799i | |||||
0 | 0 | |||||||||
−4.29696 | + | 1.05289i | −0.173129 | + | 0.0424220i | |||||
11.3955 | − | 19.7377i | 0.458767 | − | 0.794608i | −0.540129 | − | 0.841582i | ||
0.998896 | + | 0.0469742i | ||||||||
0 | 0 | |||||||||
19.8734 | − | 4.22422i | 0.798779 | − | 0.169786i | 0.209599 | − | 0.977787i | ||
0.589180 | + | 0.808002i | ||||||||
−3.81725 | − | 11.7483i | −0.153304 | − | 0.471822i | |||||
0 | 0 | |||||||||
17.3067 | − | 12.5740i | 0.693935 | − | 0.504173i | |||||
1.33344 | − | 1.48094i | 0.0534233 | − | 0.0593326i | |||||
0 | 0 | |||||||||
0.427795 | − | 0.190466i | 0.0171118 | − | 0.00761866i | |||||
−1.48353 | + | 2.56954i | −0.0592937 | + | 0.102700i | |||||
0 | 0 | |||||||||
−13.6671 | − | 23.6720i | −0.545375 | − | 0.944617i | |||||
−1.61000 | − | 1.16973i | −0.0641947 | − | 0.0466402i | |||||
0 | 0 | |||||||||
4.74547 | + | 14.6051i | 0.188914 | + | 0.581418i | 0.999994 | − | 0.00351764i | ||
−0.811080 | + | 0.584936i | ||||||||
8.50836 | + | 3.78816i | 0.338444 | + | 0.150685i | |||||
0 | 0 | |||||||||
−10.7246 | − | 2.27959i | −0.425930 | − | 0.0905342i | |||||
−1.17470 | − | 1.30464i | −0.0466166 | − | 0.0517730i | |||||
0 | 0 | |||||||||
12.6428 | + | 21.8980i | 0.500926 | + | 0.867629i | |||||
7.84323 | − | 3.78616i | 0.310517 | − | 0.149895i | |||||
0 | 0 | |||||||||
12.5093 | + | 9.08850i | 0.494472 | + | 0.359255i | |||||
13.2372 | − | 2.81365i | 0.522837 | − | 0.111132i | 0.0610695 | − | 0.998134i | ||
0.461767 | + | 0.887001i | ||||||||
0 | 0 | |||||||||
−1.32215 | − | 12.5794i | −0.0521405 | − | 0.496083i | −0.989164 | − | 0.146816i | ||
0.937023 | − | 0.349267i | ||||||||
0.0316631 | + | 0.301255i | 0.00124770 | + | 0.0118711i | |||||
0 | 0 | |||||||||
0.231829 | − | 0.0492767i | 0.00912117 | − | 0.00193877i | |||||
−1.31179 | − | 0.953069i | −0.0515717 | − | 0.0374690i | 0.561701 | − | 0.827340i | ||
−0.613272 | + | 0.789871i | ||||||||
0 | 0 | |||||||||
−11.3034 | + | 21.0525i | −0.443697 | + | 0.826381i | |||||
3.74587 | + | 6.48804i | 0.146925 | + | 0.254482i | |||||
0 | 0 | |||||||||
−19.9312 | − | 22.1358i | −0.780566 | − | 0.866907i | |||||
32.3315 | + | 6.87228i | 1.26523 | + | 0.268933i | 0.791190 | − | 0.611570i | ||
0.474040 | + | 0.880503i | ||||||||
0 | 0 | |||||||||
7.91373 | + | 3.52342i | 0.309215 | + | 0.137671i | |||||
−3.77240 | − | 11.6103i | −0.147288 | − | 0.453305i | |||||
0 | 0 | |||||||||
−1.52358 | − | 1.10695i | −0.0593955 | − | 0.0431534i | |||||
−23.9506 | − | 41.4836i | −0.932983 | − | 1.61597i | −0.778192 | − | 0.628026i | ||
−0.154790 | − | 0.987947i | ||||||||
0 | 0 | |||||||||
9.25259 | − | 16.0260i | 0.359884 | − | 0.623337i | −0.628057 | − | 0.778167i | ||
0.987941 | + | 0.154830i | ||||||||
7.46282 | − | 3.32266i | 0.290051 | − | 0.129139i | |||||
0 | 0 | |||||||||
−11.2938 | + | 12.5431i | −0.438286 | + | 0.486766i | |||||
−1.26510 | + | 0.919151i | −0.0490586 | + | 0.0356431i | |||||
0 | 0 | |||||||||
−0.414080 | − | 1.27441i | −0.0160332 | − | 0.0493452i | |||||
14.8503 | − | 3.15654i | 0.574577 | − | 0.122130i | |||||
0 | 0 | |||||||||
3.91372 | − | 6.77876i | 0.151200 | − | 0.261887i | |||||
−18.5025 | + | 21.8700i | −0.714283 | + | 0.844282i | |||||
0 | 0 | |||||||||
−4.09073 | + | 38.9207i | −0.157686 | + | 1.50028i | 0.574121 | + | 0.818771i | ||
−0.731807 | + | 0.681512i | ||||||||
−2.01213 | + | 6.19270i | −0.0775044 | + | 0.238534i | |||||
0 | 0 | |||||||||
1.86742 | − | 1.35676i | 0.0718239 | − | 0.0521831i | |||||
11.4043 | + | 5.07750i | 0.438301 | + | 0.195144i | 0.614010 | − | 0.789298i | ||
−0.175709 | + | 0.984442i | ||||||||
0 | 0 | |||||||||
−2.54331 | − | 2.82463i | −0.0976033 | − | 0.108399i | |||||
−0.548086 | + | 0.244024i | −0.0210181 | + | 0.00935788i | |||||
0 | 0 | |||||||||
11.7606 | − | 0.363010i | 0.450338 | − | 0.0139004i | |||||
−17.3888 | −0.665363 | −0.332681 | − | 0.943039i | ||||||
−0.332681 | + | 0.943039i | ||||||||
0 | 0 | |||||||||
6.99597 | − | 21.5314i | 0.267302 | − | 0.822672i | |||||
3.38185 | − | 3.75593i | 0.129120 | − | 0.143402i | |||||
0 | 0 | |||||||||
−1.26677 | − | 12.0525i | −0.0482952 | − | 0.459499i | |||||
29.2367 | + | 6.21445i | 1.11383 | + | 0.236752i | |||||
0 | 0 | |||||||||
−0.382036 | + | 3.63483i | −0.0145333 | + | 0.138275i | −0.999382 | − | 0.0351379i | ||
0.984849 | + | 0.173413i | ||||||||
−28.8156 | −1.09541 | |||||||||
0 | 0 | |||||||||
3.86751 | 0.146809 | |||||||||
−2.49293 | + | 23.7186i | −0.0945621 | + | 0.899699i | |||||
0 | 0 | |||||||||
1.29851 | + | 0.276007i | 0.0491846 | + | 0.0104545i | |||||
−1.34092 | − | 12.7580i | −0.0507545 | − | 0.482896i | |||||
0 | 0 | |||||||||
−1.97615 | + | 2.19474i | −0.0746914 | + | 0.0829532i | |||||
−1.72623 | + | 5.31280i | −0.0651989 | + | 0.200662i | −0.978349 | − | 0.206962i | ||
0.913150 | + | 0.407624i | ||||||||
0 | 0 | |||||||||
−20.0123 | −0.754777 | |||||||||
−0.00683427 | + | 0.00529508i | −0.000257576 | + | 0.000199566i | |||||
0 | 0 | |||||||||
−6.89420 | + | 3.06950i | −0.259467 | + | 0.115522i | |||||
−7.27771 | − | 8.08272i | −0.273706 | − | 0.303982i | |||||
0 | 0 | |||||||||
12.6591 | + | 5.63618i | 0.475421 | + | 0.211671i | 0.630436 | − | 0.776241i | ||
−0.155015 | + | 0.987912i | ||||||||
−1.99420 | + | 1.44887i | −0.0748410 | + | 0.0543752i | |||||
0 | 0 | |||||||||
2.37589 | − | 7.31224i | 0.0890403 | − | 0.274038i | |||||
0.189231 | − | 1.80041i | 0.00708676 | − | 0.0674260i | |||||
0 | 0 | |||||||||
−16.7305 | + | 4.09948i | −0.625685 | + | 0.153312i | |||||
21.2155 | − | 36.7464i | 0.792861 | − | 1.37328i | |||||
0 | 0 | |||||||||
−11.0109 | + | 2.34043i | −0.410922 | + | 0.0873442i | |||||
−8.24222 | − | 25.3669i | −0.307383 | − | 0.946027i | −0.978777 | − | 0.204927i | ||
0.671394 | − | 0.741100i | ||||||||
0 | 0 | |||||||||
1.53968 | − | 1.11865i | 0.0573408 | − | 0.0416605i | |||||
−6.40847 | + | 7.11733i | −0.238499 | + | 0.264879i | |||||
0 | 0 | |||||||||
1.28775 | − | 0.573342i | 0.0478587 | − | 0.0213081i | |||||
6.53222 | − | 11.3141i | 0.242600 | − | 0.420196i | |||||
0 | 0 | |||||||||
11.3198 | + | 19.6065i | 0.419830 | + | 0.727166i | 0.995922 | − | 0.0902184i | ||
−0.576092 | + | 0.817385i | ||||||||
−4.10069 | − | 2.97933i | −0.151982 | − | 0.110421i | |||||
0 | 0 | |||||||||
0.112890 | + | 0.347441i | 0.00417826 | + | 0.0128594i | |||||
1.20392 | + | 0.536021i | 0.0445287 | + | 0.0198255i | |||||
0 | 0 | |||||||||
−21.5549 | − | 4.58163i | −0.796148 | − | 0.169226i | −0.208159 | − | 0.978095i | ||
−0.587989 | + | 0.808869i | ||||||||
11.6339 | + | 12.9208i | 0.429417 | + | 0.476915i | |||||
0 | 0 | |||||||||
0.908646 | + | 1.57382i | 0.0334932 | + | 0.0580118i | |||||
−20.8716 | − | 21.7891i | −0.768816 | − | 0.802612i | |||||
0 | 0 | |||||||||
−39.3226 | − | 28.5696i | −1.44651 | − | 1.05095i | −0.986632 | − | 0.162965i | ||
−0.459875 | − | 0.887984i | ||||||||
22.0513 | − | 4.68715i | 0.810622 | − | 0.172303i | |||||
0 | 0 | |||||||||
−0.304341 | − | 2.89561i | −0.0111727 | − | 0.106301i | |||||
0.575345 | + | 5.47405i | 0.0211074 | + | 0.200823i | 0.999994 | − | 0.00358270i | ||
−0.978886 | + | 0.204406i | ||||||||
0 | 0 | |||||||||
−8.43039 | + | 1.79194i | −0.308866 | + | 0.0656514i | |||||
−6.30937 | − | 4.58402i | −0.231002 | − | 0.167833i | |||||
0 | 0 | |||||||||
0.139105 | + | 1.01973i | 0.00508618 | + | 0.0372851i | |||||
−4.95973 | − | 8.59050i | −0.181224 | − | 0.313890i | |||||
0 | 0 | |||||||||
−2.48961 | − | 2.76499i | −0.0908470 | − | 0.100896i | 0.696007 | − | 0.718035i | ||
−0.786854 | + | 0.617139i | ||||||||
8.85521 | + | 1.88223i | 0.322916 | + | 0.0686379i | |||||
0 | 0 | |||||||||
9.11567 | + | 4.05856i | 0.331973 | + | 0.147804i | |||||
6.85556 | + | 21.0993i | 0.249499 | + | 0.767880i | |||||
0 | 0 | |||||||||
24.6209 | + | 17.8881i | 0.894862 | + | 0.650155i | 0.937141 | − | 0.348951i | ||
−0.0422792 | + | 0.999106i | ||||||||
−5.29781 | − | 9.17608i | −0.192425 | − | 0.333290i | |||||
0 | 0 | |||||||||
−3.01660 | + | 5.22491i | −0.109424 | + | 0.189527i | |||||
20.5182 | − | 9.13531i | 0.743786 | − | 0.331155i | 0.000383921 | − | 1.00000i | ||
0.743402 | + | 0.668845i | ||||||||
0 | 0 | |||||||||
−3.50459 | + | 3.89224i | −0.126875 | + | 0.140909i | |||||
20.1381 | − | 14.6312i | 0.728571 | − | 0.529338i | |||||
0 | 0 | |||||||||
−2.42169 | − | 7.45320i | −0.0874992 | − | 0.269295i | |||||
−26.7787 | + | 5.69198i | −0.966922 | + | 0.205526i | |||||
0 | 0 | |||||||||
−19.4798 | + | 33.7399i | −0.702458 | + | 1.21669i | 0.265143 | + | 0.964209i | ||
−0.967601 | + | 0.252484i | ||||||||
0.883393 | + | 1.42655i | 0.0318353 | + | 0.0514092i | |||||
0 | 0 | |||||||||
1.62179 | − | 15.4303i | 0.0583695 | − | 0.555349i | |||||
16.4951 | − | 50.7667i | 0.593287 | − | 1.82595i | 0.0302135 | − | 0.999543i | ||
0.563074 | − | 0.826407i | ||||||||
0 | 0 | |||||||||
14.2792 | − | 10.3745i | 0.512925 | − | 0.372662i | |||||
−13.3967 | − | 5.96461i | −0.480914 | − | 0.214117i | |||||
0 | 0 | |||||||||
0.517595 | + | 0.574847i | 0.0185567 | + | 0.0206093i | |||||
12.1955 | − | 5.42979i | 0.436950 | − | 0.194543i | |||||
0 | 0 | |||||||||
3.21361 | + | 8.94184i | 0.114992 | + | 0.319964i | |||||
−0.0391279 | −0.00139921 | |||||||||
0 | 0 | |||||||||
−3.65884 | + | 11.2607i | −0.130673 | + | 0.402169i | |||||
−15.5879 | + | 17.3121i | −0.556357 | + | 0.617897i | |||||
0 | 0 | |||||||||
−3.01381 | − | 28.6745i | −0.107431 | − | 1.02213i | −0.906877 | − | 0.421396i | ||
0.799446 | − | 0.600738i | ||||||||
−40.8426 | − | 8.68136i | −1.45496 | − | 0.309261i | |||||
0 | 0 | |||||||||
0.369232 | − | 3.51301i | 0.0131367 | − | 0.124987i | |||||
1.69662 | 0.0603250 | |||||||||
0 | 0 | |||||||||
−32.8211 | −1.16551 | |||||||||
−1.35497 | + | 12.8917i | −0.0480860 | + | 0.457508i | |||||
0 | 0 | |||||||||
−32.0854 | − | 6.81996i | −1.13724 | − | 0.241727i | |||||
3.46749 | + | 32.9910i | 0.122825 | + | 1.16860i | 0.866190 | + | 0.499715i | ||
−0.743365 | + | 0.668886i | ||||||||
0 | 0 | |||||||||
−0.658734 | + | 0.731598i | −0.0233043 | + | 0.0258821i | |||||
−5.47516 | + | 16.8508i | −0.193576 | + | 0.595766i | |||||
0 | 0 | |||||||||
4.24208 | 0.149793 | |||||||||
1.40754 | − | 0.0434460i | 0.0496711 | − | 0.00153317i | |||||
0 | 0 | |||||||||
0.235842 | − | 0.105004i | 0.00831235 | − | 0.00370090i | |||||
9.02040 | + | 10.0182i | 0.317730 | + | 0.352875i | |||||
0 | 0 | |||||||||
−38.3349 | − | 17.0678i | −1.34862 | − | 0.600443i | |||||
19.8771 | − | 14.4416i | 0.698842 | − | 0.507739i | −0.180713 | − | 0.983536i | ||
0.879555 | + | 0.475797i | ||||||||
0 | 0 | |||||||||
11.5446 | − | 35.5307i | 0.405387 | − | 1.24765i | −0.515185 | − | 0.857079i | ||
0.920572 | − | 0.390573i | ||||||||
−0.411167 | + | 3.91200i | −0.0144291 | + | 0.137284i | |||||
0 | 0 | |||||||||
−1.58465 | + | 21.4148i | −0.0555418 | + | 0.750589i | |||||
−12.6930 | + | 21.9850i | −0.444617 | + | 0.770099i | |||||
0 | 0 | |||||||||
12.9629 | − | 2.75535i | 0.453515 | − | 0.0963976i | |||||
5.67451 | + | 17.4644i | 0.198405 | + | 0.610627i | |||||
0 | 0 | |||||||||
−12.1664 | + | 8.83939i | −0.424868 | + | 0.308685i | |||||
−8.16415 | + | 9.06720i | −0.284931 | + | 0.316448i | −0.868571 | − | 0.495565i | ||
0.583640 | + | 0.812012i | ||||||||
0 | 0 | |||||||||
−45.2009 | + | 20.1248i | −1.57561 | + | 0.701505i | −0.993733 | − | 0.111776i | ||
−0.581872 | + | 0.813280i | ||||||||
3.67133 | − | 6.35893i | 0.127897 | − | 0.221524i | |||||
0 | 0 | |||||||||
1.33339 | + | 2.30950i | 0.0463945 | + | 0.0803576i | |||||
2.45628 | + | 1.78459i | 0.0854134 | + | 0.0620564i | 0.629672 | − | 0.776861i | ||
−0.544259 | + | 0.838917i | ||||||||
0 | 0 | |||||||||
−14.8814 | − | 45.8003i | −0.516853 | − | 1.59071i | −0.779885 | − | 0.625923i | ||
0.263032 | − | 0.964787i | ||||||||
5.84804 | + | 2.60372i | 0.202989 | + | 0.0903763i | |||||
0 | 0 | |||||||||
−0.00968886 | − | 0.00205943i | −0.000335901 | − | 7.13979e-5i | |||||
−0.861542 | − | 0.956839i | −0.0298507 | − | 0.0331525i | |||||
0 | 0 | |||||||||
−6.46955 | − | 11.2056i | −0.223888 | − | 0.387786i | |||||
7.15915 | + | 7.47386i | 0.247605 | + | 0.258489i | |||||
0 | 0 | |||||||||
−19.3376 | − | 14.0496i | −0.668007 | − | 0.485335i | |||||
−38.0873 | + | 8.09571i | −1.31492 | + | 0.279495i | −0.811401 | − | 0.584490i | ||
−0.503519 | + | 0.863984i | ||||||||
0 | 0 | |||||||||
1.21246 | + | 11.5358i | 0.0418090 | + | 0.397786i | |||||
0.533537 | + | 5.07627i | 0.0183869 | + | 0.174940i | |||||
0 | 0 | |||||||||
−24.9683 | + | 5.30718i | −0.859445 | + | 0.182681i | |||||
−1.59153 | − | 1.15631i | −0.0547503 | − | 0.0397784i | |||||
0 | 0 | |||||||||
6.23162 | − | 1.73239i | 0.214121 | − | 0.0595255i | |||||
6.99812 | + | 12.1211i | 0.240316 | + | 0.416240i | |||||
0 | 0 | |||||||||
−0.255262 | − | 0.283497i | −0.00875542 | − | 0.00972388i | |||||
3.23165 | + | 0.686909i | 0.110780 | + | 0.0235469i | |||||
0 | 0 | |||||||||
−33.8107 | − | 15.0535i | −1.15765 | − | 0.515421i | −0.264153 | − | 0.964481i | ||
−0.893502 | + | 0.449060i | ||||||||
0.987956 | + | 3.04062i | 0.0338072 | + | 0.104048i | |||||
0 | 0 | |||||||||
−30.9617 | − | 22.4950i | −1.05825 | − | 0.768864i | |||||
14.2713 | + | 24.7186i | 0.487499 | + | 0.844372i | 0.999897 | − | 0.0143758i | ||
−0.512398 | + | 0.858748i | ||||||||
0 | 0 | |||||||||
−19.1707 | + | 33.2046i | −0.654094 | + | 1.13292i | 0.328025 | + | 0.944669i | ||
−0.982120 | + | 0.188256i | ||||||||
−13.6383 | + | 6.07218i | −0.465064 | + | 0.207060i | |||||
0 | 0 | |||||||||
−12.8259 | + | 14.2446i | −0.436852 | + | 0.485174i | |||||
22.6247 | − | 16.4378i | 0.770153 | − | 0.559549i | −0.131855 | − | 0.991269i | ||
0.902008 | + | 0.431720i | ||||||||
0 | 0 | |||||||||
7.58897 | + | 23.3565i | 0.258033 | + | 0.794143i | |||||
−14.8308 | + | 3.15238i | −0.503970 | + | 0.107122i | |||||
0 | 0 | |||||||||
−2.65712 | + | 4.60226i | −0.0901884 | + | 0.156211i | |||||
−12.6040 | − | 5.15184i | −0.427563 | − | 0.174764i | |||||
0 | 0 | |||||||||
3.61348 | − | 34.3799i | 0.122438 | − | 1.16492i | |||||
−6.24437 | + | 19.2182i | −0.211461 | + | 0.650810i | |||||
0 | 0 | |||||||||
−0.318327 | + | 0.231278i | −0.0107676 | + | 0.00782309i | |||||
5.97029 | + | 2.65814i | 0.201833 | + | 0.0898617i | |||||
0 | 0 | |||||||||
−14.0783 | − | 15.6355i | −0.475390 | − | 0.527974i | 0.456981 | − | 0.889476i | ||
−0.932371 | + | 0.361502i | ||||||||
19.7355 | − | 8.78682i | 0.666041 | − | 0.296541i | |||||
0 | 0 | |||||||||
−6.66868 | − | 4.53748i | −0.224801 | − | 0.152959i | |||||
−17.0076 | −0.573000 | −0.286500 | − | 0.958080i | ||||||
−0.286500 | + | 0.958080i | ||||||||
0 | 0 | |||||||||
2.08724 | − | 6.42388i | 0.0702414 | − | 0.216181i | −0.909773 | − | 0.415105i | ||
0.980015 | + | 0.198924i | ||||||||
−0.789001 | + | 0.876275i | −0.0265370 | + | 0.0294723i | |||||
0 | 0 | |||||||||
0.561959 | + | 5.34669i | 0.0188794 | + | 0.179625i | |||||
33.1095 | + | 7.03764i | 1.11171 | + | 0.236301i | 0.726932 | − | 0.686709i | ||
0.384775 | + | 0.923010i | ||||||||
0 | 0 | |||||||||
−0.0789449 | + | 0.751111i | −0.00264773 | + | 0.0251915i | |||||
−2.91604 | −0.0977459 | |||||||||
0 | 0 | |||||||||
−4.01188 | −0.134328 | |||||||||
−1.03482 | + | 9.84561i | −0.0346288 | + | 0.329471i | |||||
0 | 0 | |||||||||
−35.3721 | − | 7.51856i | −1.18236 | − | 0.251318i | |||||
−0.695314 | − | 6.61547i | −0.0232288 | − | 0.221007i | |||||
0 | 0 | |||||||||
−15.5299 | + | 17.2477i | −0.518239 | + | 0.575563i | |||||
7.26448 | − | 22.3578i | 0.242284 | − | 0.745674i | |||||
0 | 0 | |||||||||
−1.52201 | −0.0507054 | |||||||||
−4.84465 | − | 13.4802i | −0.161309 | − | 0.448841i | |||||
0 | 0 | |||||||||
5.97993 | − | 2.66244i | 0.198889 | − | 0.0885513i | |||||
−0.803865 | − | 0.892783i | −0.0267214 | − | 0.0296771i | |||||
0 | 0 | |||||||||
25.7133 | + | 11.4483i | 0.853795 | + | 0.380134i | 0.786493 | − | 0.617599i | ||
0.0673015 | + | 0.997733i | ||||||||
−20.9066 | + | 15.1895i | −0.693809 | + | 0.504082i | |||||
0 | 0 | |||||||||
−0.594061 | + | 1.82833i | −0.0196929 | + | 0.0606086i | |||||
0.855313 | − | 8.13776i | 0.0283378 | − | 0.269616i | −0.971174 | − | 0.238372i | ||
0.999512 | − | 0.0312443i | ||||||||
0 | 0 | |||||||||
15.9378 | − | 18.8385i | 0.527465 | − | 0.623463i | |||||
−7.45467 | + | 12.9119i | −0.246579 | + | 0.427087i | |||||
0 | 0 | |||||||||
5.18405 | − | 1.10190i | 0.171286 | − | 0.0364080i | |||||
−1.15161 | − | 3.54430i | −0.0380296 | − | 0.117043i | |||||
0 | 0 | |||||||||
−9.43023 | + | 6.85146i | −0.311075 | + | 0.226009i | −0.732357 | − | 0.680920i | ||
0.421283 | + | 0.906929i | ||||||||
0.666473 | − | 0.740193i | 0.0219730 | − | 0.0244035i | |||||
0 | 0 | |||||||||
16.4970 | − | 7.34494i | 0.543300 | − | 0.241893i | |||||
−5.44317 | + | 9.42785i | −0.179164 | + | 0.310322i | |||||
0 | 0 | |||||||||
16.1057 | + | 27.8959i | 0.529552 | + | 0.917211i | |||||
−5.53241 | − | 4.01953i | −0.181806 | − | 0.132090i | |||||
0 | 0 | |||||||||
7.29242 | + | 22.4438i | 0.239385 | + | 0.736753i | |||||
−29.0262 | − | 12.9233i | −0.952318 | − | 0.423999i | −0.129041 | − | 0.991639i | ||
−0.823277 | + | 0.567640i | ||||||||
0 | 0 | |||||||||
−12.6648 | − | 2.69199i | −0.415073 | − | 0.0882265i | |||||
4.62705 | + | 5.13886i | 0.151564 | + | 0.168329i | |||||
0 | 0 | |||||||||
−9.28136 | − | 16.0758i | −0.303695 | − | 0.526016i | |||||
0.789907 | − | 0.381311i | 0.0258327 | − | 0.0124702i | |||||
0 | 0 | |||||||||
34.9908 | + | 25.4223i | 1.14310 | + | 0.830510i | 0.987548 | − | 0.157318i | ||
0.155551 | + | 0.987828i | ||||||||
−3.29380 | + | 0.700119i | −0.107546 | + | 0.0228597i | |||||
0 | 0 | |||||||||
−1.16573 | − | 11.0911i | −0.0380218 | − | 0.361753i | |||||
−1.27546 | − | 12.1352i | −0.0415790 | − | 0.395597i | −0.995443 | − | 0.0953585i | ||
0.953864 | − | 0.300239i | ||||||||
0 | 0 | |||||||||
−2.15575 | + | 0.458219i | −0.0702008 | + | 0.0149216i | |||||
−10.3712 | − | 7.53513i | −0.337554 | − | 0.245248i | |||||
0 | 0 | |||||||||
−1.92201 | − | 14.0896i | −0.0624898 | − | 0.458092i | |||||
15.5930 | + | 27.0079i | 0.506706 | + | 0.877640i | 0.999970 | + | 0.00776032i | ||
−0.493264 | + | 0.869879i | ||||||||
0 | 0 | |||||||||
1.07958 | + | 1.19900i | 0.0350448 | + | 0.0389212i | |||||
−3.75240 | − | 0.797597i | −0.121744 | − | 0.0258775i | |||||
0 | 0 | |||||||||
0.235788 | + | 0.104980i | 0.00764193 | + | 0.00340241i | |||||
5.66371 | + | 17.4311i | 0.183466 | + | 0.564649i | 0.999919 | − | 0.0127629i | ||
−0.816453 | + | 0.577412i | ||||||||
0 | 0 | |||||||||
−17.1629 | − | 12.4696i | −0.555378 | − | 0.403506i | |||||
12.0601 | + | 20.8887i | 0.390050 | + | 0.675587i | |||||
0 | 0 | |||||||||
6.72223 | − | 11.6432i | 0.217185 | − | 0.376176i | |||||
−8.89751 | + | 3.96143i | −0.287316 | + | 0.127921i | |||||
0 | 0 | |||||||||
0.508465 | − | 0.564708i | 0.0164021 | − | 0.0182164i | |||||
−19.9037 | + | 14.4609i | −0.641723 | + | 0.466239i | |||||
0 | 0 | |||||||||
−6.82455 | − | 21.0038i | −0.219804 | − | 0.676487i | |||||
−12.9341 | + | 2.74923i | −0.416364 | + | 0.0885009i | |||||
0 | 0 | |||||||||
−10.4254 | + | 18.0573i | −0.335258 | + | 0.580683i | −0.983534 | − | 0.180722i | ||
0.648277 | + | 0.761405i | ||||||||
19.2454 | − | 15.8850i | 0.618571 | − | 0.510562i | |||||
0 | 0 | |||||||||
−0.581370 | + | 5.53137i | −0.0186667 | + | 0.177601i | |||||
8.79427 | − | 27.0660i | 0.282222 | − | 0.868589i | −0.704996 | − | 0.709211i | ||
0.987218 | − | 0.159378i | ||||||||
0 | 0 | |||||||||
8.30053 | − | 6.03069i | 0.266103 | − | 0.193335i | |||||
−1.30913 | − | 0.582861i | −0.0419472 | − | 0.0186761i | |||||
0 | 0 | |||||||||
−10.2838 | − | 11.4213i | −0.329175 | − | 0.365586i | |||||
20.3347 | − | 9.05359i | 0.650564 | − | 0.289650i | −0.0547974 | − | 0.998497i | ||
0.705362 | + | 0.708848i | ||||||||
0 | 0 | |||||||||
−3.14205 | + | 10.7925i | −0.100420 | + | 0.344929i | |||||
14.5857 | 0.465924 | |||||||||
0 | 0 | |||||||||
1.85302 | − | 5.70301i | 0.0591322 | − | 0.181990i | |||||
15.4525 | − | 17.1618i | 0.492859 | − | 0.547375i | −0.444482 | − | 0.895788i | ||
0.937341 | + | 0.348412i | ||||||||
0 | 0 | |||||||||
3.71977 | + | 35.3912i | 0.118522 | + | 1.12766i | |||||
−0.496998 | − | 0.105640i | −0.0158277 | − | 0.00336427i | |||||
0 | 0 | |||||||||
−1.23945 | + | 11.7926i | −0.0394323 | + | 0.375173i | |||||
−2.18787 | −0.0695703 | |||||||||
0 | 0 | |||||||||
−6.16408 | −0.195809 | −0.0979043 | − | 0.995196i | ||||||
−0.0979043 | + | 0.995196i | ||||||||
−3.33258 | + | 31.7074i | −0.105810 | + | 1.00671i | |||||
0 | 0 | |||||||||
1.03726 | + | 0.220477i | 0.0329000 | + | 0.00699310i | |||||
2.92220 | + | 27.8028i | 0.0926399 | + | 0.881409i | |||||
0 | 0 | |||||||||
16.9821 | − | 18.8606i | 0.537830 | − | 0.597320i | −0.411575 | − | 0.911376i | ||
0.949405 | + | 0.314056i | ||||||||
−2.47504 | + | 7.61739i | −0.0783461 | + | 0.241124i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 891.2.n.l.433.6 | 96 | ||
3.2 | odd | 2 | inner | 891.2.n.l.433.7 | 96 | ||
9.2 | odd | 6 | inner | 891.2.n.l.136.6 | 96 | ||
9.4 | even | 3 | 891.2.f.g.730.6 | yes | 48 | ||
9.5 | odd | 6 | 891.2.f.g.730.7 | yes | 48 | ||
9.7 | even | 3 | inner | 891.2.n.l.136.7 | 96 | ||
11.3 | even | 5 | inner | 891.2.n.l.190.7 | 96 | ||
33.14 | odd | 10 | inner | 891.2.n.l.190.6 | 96 | ||
99.5 | odd | 30 | 9801.2.a.cr.1.10 | 24 | |||
99.14 | odd | 30 | 891.2.f.g.487.7 | yes | 48 | ||
99.25 | even | 15 | inner | 891.2.n.l.784.6 | 96 | ||
99.47 | odd | 30 | inner | 891.2.n.l.784.7 | 96 | ||
99.49 | even | 15 | 9801.2.a.cr.1.15 | 24 | |||
99.50 | even | 30 | 9801.2.a.cq.1.15 | 24 | |||
99.58 | even | 15 | 891.2.f.g.487.6 | ✓ | 48 | ||
99.94 | odd | 30 | 9801.2.a.cq.1.10 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
891.2.f.g.487.6 | ✓ | 48 | 99.58 | even | 15 | ||
891.2.f.g.487.7 | yes | 48 | 99.14 | odd | 30 | ||
891.2.f.g.730.6 | yes | 48 | 9.4 | even | 3 | ||
891.2.f.g.730.7 | yes | 48 | 9.5 | odd | 6 | ||
891.2.n.l.136.6 | 96 | 9.2 | odd | 6 | inner | ||
891.2.n.l.136.7 | 96 | 9.7 | even | 3 | inner | ||
891.2.n.l.190.6 | 96 | 33.14 | odd | 10 | inner | ||
891.2.n.l.190.7 | 96 | 11.3 | even | 5 | inner | ||
891.2.n.l.433.6 | 96 | 1.1 | even | 1 | trivial | ||
891.2.n.l.433.7 | 96 | 3.2 | odd | 2 | inner | ||
891.2.n.l.784.6 | 96 | 99.25 | even | 15 | inner | ||
891.2.n.l.784.7 | 96 | 99.47 | odd | 30 | inner | ||
9801.2.a.cq.1.10 | 24 | 99.94 | odd | 30 | |||
9801.2.a.cq.1.15 | 24 | 99.50 | even | 30 | |||
9801.2.a.cr.1.10 | 24 | 99.5 | odd | 30 | |||
9801.2.a.cr.1.15 | 24 | 99.49 | even | 15 |