Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [58,2,Mod(7,58)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(58, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("58.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 58.d (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 25.2 | ||
Root | of defining polynomial | ||
Character | 58.25 | ||
Dual form | 58.2.d.b.7.2 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
−0.222521 | + | 0.974928i | −0.157346 | + | 0.689378i | |||||
1.56920 | − | 0.755686i | 0.905977 | − | 0.436295i | 0.0779327 | − | 0.996959i | ||
0.828044 | + | 0.560663i | ||||||||
−0.900969 | − | 0.433884i | −0.450484 | − | 0.216942i | |||||
0.110081 | − | 0.482295i | 0.0492296 | − | 0.215689i | −0.944330 | − | 0.329000i | ||
0.993560 | + | 0.113311i | ||||||||
0.387560 | + | 1.69801i | 0.158221 | + | 0.693210i | |||||
−2.82760 | + | 1.36170i | −1.06873 | + | 0.514674i | −0.883697 | − | 0.468059i | ||
−0.185033 | + | 0.982732i | ||||||||
0.623490 | − | 0.781831i | 0.220437 | − | 0.276419i | |||||
0.0208506 | − | 0.0261458i | 0.00695019 | − | 0.00871526i | |||||
0.445708 | + | 0.214642i | 0.140945 | + | 0.0678756i | |||||
0.870839 | + | 1.09200i | 0.262568 | + | 0.329250i | 0.895587 | − | 0.444887i | ||
−0.633019 | + | 0.774136i | ||||||||
−1.74168 | −0.502779 | |||||||||
−3.56353 | − | 4.46852i | −0.988344 | − | 1.23934i | −0.970897 | − | 0.239497i | ||
−0.0174472 | − | 0.999848i | ||||||||
−0.698359 | − | 3.05971i | −0.186644 | − | 0.817742i | |||||
−0.191725 | − | 0.840003i | −0.0495032 | − | 0.216888i | |||||
0.623490 | + | 0.781831i | 0.155872 | + | 0.195458i | |||||
5.31800 | 1.28980 | 0.644902 | − | 0.764265i | ||||||
0.644902 | + | 0.764265i | ||||||||
0.0208506 | + | 0.0261458i | 0.00491453 | + | 0.00616262i | |||||
−4.47471 | − | 2.15491i | −1.02657 | − | 0.494370i | −0.156697 | − | 0.987647i | ||
−0.869872 | + | 0.493277i | ||||||||
−0.308439 | + | 0.386771i | −0.0689691 | + | 0.0864845i | |||||
−3.40804 | + | 4.27355i | −0.743695 | + | 0.932565i | |||||
−1.25840 | + | 0.606013i | −0.268292 | + | 0.129202i | |||||
0.181045 | + | 0.793210i | 0.0377505 | + | 0.165396i | 0.990289 | − | 0.139021i | ||
−0.952539 | + | 0.304417i | ||||||||
0.387560 | − | 1.69801i | 0.0791103 | − | 0.346605i | |||||
4.28435 | + | 2.06324i | 0.856871 | + | 0.412647i | |||||
5.14944 | − | 2.47984i | 1.00989 | − | 0.486337i | |||||
−1.14972 | + | 5.03725i | −0.221263 | + | 0.969419i | |||||
3.13840 | 0.593101 | |||||||||
5.38501 | − | 0.0414712i | 0.999970 | − | 0.00770101i | |||||
0.861605 | 0.157307 | |||||||||
−1.41596 | + | 6.20373i | −0.254314 | + | 1.11422i | 0.672912 | + | 0.739722i | ||
−0.927226 | + | 0.374501i | ||||||||
−0.900969 | + | 0.433884i | −0.159270 | + | 0.0767005i | |||||
2.19173 | + | 1.05548i | 0.381530 | + | 0.183735i | |||||
−1.18337 | + | 5.18466i | −0.202946 | + | 0.889162i | |||||
0.345477 | + | 1.51363i | 0.0583962 | + | 0.255851i | |||||
−0.0301299 | + | 0.0145098i | −0.00502166 | + | 0.00241830i | |||||
5.56630 | − | 6.97992i | 0.915095 | − | 1.14749i | −0.0735606 | − | 0.997291i | ||
0.988655 | − | 0.150202i | ||||||||
3.09660 | − | 3.88301i | 0.502335 | − | 0.629908i | |||||
−8.96867 | − | 4.31909i | −1.43614 | − | 0.691607i | |||||
−0.308439 | − | 0.386771i | −0.0487685 | − | 0.0611538i | |||||
−4.01226 | −0.626610 | −0.313305 | − | 0.949652i | ||||||
−0.313305 | + | 0.949652i | ||||||||
−3.40804 | − | 4.27355i | −0.525872 | − | 0.659423i | |||||
0.310799 | + | 1.36170i | 0.0473964 | + | 0.207657i | 0.993082 | − | 0.117427i | ||
−0.945685 | + | 0.325084i | ||||||||
−0.310799 | − | 1.36170i | −0.0468547 | − | 0.205284i | |||||
−0.0103147 | − | 0.0129343i | −0.00153763 | − | 0.00192813i | |||||
−0.813609 | −0.119960 | |||||||||
−6.42079 | − | 8.05142i | −0.936569 | − | 1.17442i | −0.984467 | − | 0.175568i | ||
0.0478986 | − | 0.998852i | ||||||||
1.56920 | + | 0.755686i | 0.226494 | + | 0.109074i | |||||
1.77665 | − | 2.22785i | 0.253807 | − | 0.318264i | |||||
−2.96486 | + | 3.71782i | −0.419295 | + | 0.525780i | |||||
8.34499 | − | 4.01873i | 1.16853 | − | 0.562735i | |||||
1.27181 | + | 5.57215i | 0.176368 | + | 0.772719i | |||||
−0.944288 | + | 4.13720i | −0.129708 | + | 0.568288i | 0.867748 | + | 0.497004i | ||
−0.997456 | + | 0.0712835i | ||||||||
−4.65512 | − | 2.24179i | −0.633481 | − | 0.305068i | |||||
0.622528 | − | 0.299794i | 0.0839416 | − | 0.0404241i | |||||
−0.698359 | + | 3.05971i | −0.0933221 | + | 0.408871i | |||||
−8.65014 | −1.14574 | |||||||||
−1.15784 | + | 5.25922i | −0.152032 | + | 0.690569i | |||||
11.1598 | 1.45288 | 0.726438 | − | 0.687232i | ||||||
0.726438 | + | 0.687232i | ||||||||
−0.191725 | + | 0.840003i | −0.0247516 | + | 0.108444i | |||||
−4.38454 | + | 2.11149i | −0.561383 | + | 0.270348i | −0.692982 | − | 0.720955i | ||
0.131598 | + | 0.991303i | ||||||||
−5.73311 | − | 2.76092i | −0.728106 | − | 0.350637i | |||||
−0.0233543 | + | 0.102322i | −0.00294237 | + | 0.0128913i | |||||
−0.222521 | − | 0.974928i | −0.0278151 | − | 0.121866i | |||||
−2.54742 | + | 1.22677i | −0.315969 | + | 0.152163i | |||||
−1.51672 | + | 1.90191i | −0.186695 | + | 0.234109i | |||||
4.45072 | − | 5.58102i | 0.543742 | − | 0.681830i | −0.431718 | − | 0.902009i | ||
0.975460 | + | 0.220178i | ||||||||
−4.79135 | − | 2.30739i | −0.581036 | − | 0.279812i | |||||
0.883513 | + | 1.10789i | 0.106362 | + | 0.133374i | |||||
−1.55256 | −0.185566 | |||||||||
3.76423 | + | 4.72019i | 0.446732 | + | 0.560184i | 0.953304 | − | 0.302014i | ||
−0.506572 | + | 0.862198i | ||||||||
−0.00744148 | − | 0.0326033i | −0.000876987 | − | 0.00384233i | |||||
−2.73238 | − | 11.9713i | −0.319801 | − | 1.40114i | −0.837903 | − | 0.545819i | ||
0.518103 | − | 0.855319i | ||||||||
5.56630 | + | 6.97992i | 0.647070 | + | 0.811400i | |||||
8.28215 | 0.956341 | |||||||||
3.09660 | + | 3.88301i | 0.355204 | + | 0.445412i | |||||
−3.94935 | − | 1.90191i | −0.450070 | − | 0.216743i | |||||
6.20651 | − | 7.78272i | 0.702749 | − | 0.881220i | |||||
−5.86220 | + | 7.35096i | −0.659549 | + | 0.827048i | −0.993294 | − | 0.115615i | ||
0.333745 | + | 0.942663i | ||||||||
0.445708 | − | 0.214642i | 0.0498316 | − | 0.0239977i | |||||
2.02476 | + | 8.87107i | 0.224974 | + | 0.985675i | |||||
0.892813 | − | 3.91167i | 0.0985947 | − | 0.431971i | |||||
−11.4508 | − | 5.51441i | −1.25689 | − | 0.605285i | −0.317538 | − | 0.948246i | ||
−0.939350 | + | 0.342960i | ||||||||
4.92476 | − | 2.37164i | 0.537336 | − | 0.258767i | |||||
0.585409 | − | 2.56484i | 0.0634965 | − | 0.278196i | |||||
−1.39672 | −0.150612 | |||||||||
8.41880 | − | 4.13445i | 0.902590 | − | 0.443259i | |||||
1.39672 | 0.148891 | |||||||||
−0.398796 | + | 1.74724i | −0.0422722 | + | 0.185207i | −0.991656 | − | 0.128911i | ||
0.949384 | + | 0.314118i | ||||||||
0.0149052 | − | 0.00717798i | 0.00157115 | − | 0.000756626i | |||||
16.1610 | + | 7.78272i | 1.69413 | + | 0.815851i | |||||
0.181045 | − | 0.793210i | 0.0188753 | − | 0.0826979i | |||||
2.46615 | + | 10.8049i | 0.255728 | + | 1.12042i | |||||
9.27831 | − | 4.46820i | 0.956985 | − | 0.460860i | |||||
−1.53188 | + | 1.92092i | −0.157168 | + | 0.197082i | |||||
−1.08592 | + | 1.36170i | −0.110831 | + | 0.138978i | |||||
−3.42035 | − | 1.64715i | −0.347283 | − | 0.167243i | 0.252108 | − | 0.967699i | ||
−0.599391 | + | 0.800456i | ||||||||
1.77665 | + | 2.22785i | 0.179469 | + | 0.225047i | |||||
0.0467086 | 0.00469439 | |||||||||
−2.96486 | − | 3.71782i | −0.296486 | − | 0.371782i | |||||
0.271881 | + | 1.19119i | 0.0270532 | + | 0.118528i | 0.986652 | − | 0.162846i | ||
−0.959598 | + | 0.281373i | ||||||||
2.06104 | + | 9.03001i | 0.204074 | + | 0.894104i | |||||
1.12736 | + | 1.41366i | 0.111082 | + | 0.139292i | 0.834264 | − | 0.551365i | ||
−0.723182 | + | 0.690657i | ||||||||
−5.71545 | −0.560446 | |||||||||
1.68595 | + | 2.11412i | 0.164532 | + | 0.206317i | |||||
−3.82334 | − | 1.84123i | −0.371356 | − | 0.178836i | |||||
2.58788 | − | 3.24509i | 0.250179 | − | 0.313715i | −0.640845 | − | 0.767670i | ||
0.891025 | + | 0.453955i | ||||||||
3.22144 | − | 4.03956i | 0.309983 | − | 0.388707i | |||||
−13.0682 | + | 6.29330i | −1.25170 | + | 0.602789i | −0.937968 | − | 0.346721i | ||
−0.313736 | + | 0.949510i | ||||||||
0.153752 | + | 0.673630i | 0.0146596 | + | 0.0642281i | |||||
3.46000 | − | 15.1593i | 0.328409 | − | 1.43885i | |||||
−2.82760 | − | 1.36170i | −0.267183 | − | 0.128668i | |||||
−15.0312 | + | 7.23864i | −1.41402 | + | 0.680954i | −0.975951 | − | 0.217989i | ||
−0.438065 | + | 0.898943i | ||||||||
1.92484 | − | 8.43327i | 0.180278 | − | 0.789848i | |||||
0.402491 | 0.0375325 | |||||||||
−4.86972 | − | 2.29910i | −0.452142 | − | 0.213466i | |||||
−0.191135 | −0.0176704 | |||||||||
−2.48328 | + | 10.8800i | −0.228604 | + | 1.00158i | |||||
−15.0371 | + | 7.24151i | −1.37845 | + | 0.663828i | |||||
−0.776279 | − | 0.373836i | −0.0708643 | − | 0.0341264i | |||||
2.01363 | − | 8.82230i | 0.183057 | − | 0.802027i | |||||
−1.08289 | − | 4.74446i | −0.0980405 | − | 0.429544i | |||||
−6.29603 | + | 3.03201i | −0.567694 | + | 0.273387i | |||||
3.96744 | − | 4.97501i | 0.356286 | − | 0.446769i | |||||
3.00891 | − | 3.77305i | 0.269125 | − | 0.337472i | |||||
−0.0945597 | − | 0.0455375i | −0.00842405 | − | 0.00405681i | |||||
−7.91387 | − | 9.92368i | −0.702243 | − | 0.880584i | 0.294946 | − | 0.955514i | ||
−0.997189 | + | 0.0749295i | ||||||||
1.00000 | 0.0883883 | |||||||||
1.51672 | + | 1.90191i | 0.133540 | + | 0.167454i | |||||
−0.629161 | − | 2.75653i | −0.0551811 | − | 0.241764i | |||||
3.29243 | + | 14.4251i | 0.287661 | + | 1.26033i | 0.887725 | + | 0.460374i | ||
−0.600064 | + | 0.799952i | ||||||||
−1.51672 | − | 1.90191i | −0.132014 | − | 0.165540i | |||||
15.5870 | 1.35157 | |||||||||
4.45072 | + | 5.58102i | 0.384483 | + | 0.482127i | |||||
2.30288 | + | 1.10901i | 0.198200 | + | 0.0954482i | |||||
3.31572 | − | 4.15778i | 0.284320 | − | 0.356526i | |||||
−0.941003 | + | 1.17998i | −0.0803953 | + | 0.100813i | −0.820403 | − | 0.571786i | ||
0.740007 | + | 0.672599i | ||||||||
−1.27671 | + | 0.614833i | −0.108681 | + | 0.0523380i | |||||
−1.94848 | − | 8.53684i | −0.165268 | − | 0.724086i | −0.987846 | − | 0.155434i | ||
0.822578 | − | 0.568652i | ||||||||
0.345477 | − | 1.51363i | 0.0291981 | − | 0.127925i | |||||
−16.1598 | − | 7.78216i | −1.36090 | − | 0.655377i | |||||
−5.43947 | + | 2.61951i | −0.456470 | + | 0.219824i | |||||
1.77636 | − | 7.78272i | 0.148546 | − | 0.650824i | |||||
0.0334417 | 0.00278681 | |||||||||
0.572784 | − | 2.60173i | 0.0475671 | − | 0.216062i | |||||
12.2792 | 1.01623 | |||||||||
1.10436 | − | 4.83852i | 0.0910861 | − | 0.399074i | |||||
−8.04354 | + | 3.87357i | −0.661175 | + | 0.318405i | |||||
4.27124 | + | 2.05692i | 0.349914 | + | 0.168510i | 0.600581 | − | 0.799564i | ||
−0.250668 | + | 0.968073i | ||||||||
−1.84295 | + | 8.07450i | −0.150476 | + | 0.659280i | |||||
1.44508 | + | 6.33133i | 0.117599 | + | 0.515236i | 0.999075 | + | 0.0430064i | ||
−0.881475 | + | 0.472230i | ||||||||
−4.47471 | + | 2.15491i | −0.362947 | + | 0.174786i | |||||
0.110883 | − | 0.139043i | 0.00896438 | − | 0.0112410i | |||||
2.73304 | − | 3.42712i | 0.220234 | − | 0.276165i | |||||
2.83616 | + | 1.36582i | 0.227806 | + | 0.109706i | |||||
6.20651 | + | 7.78272i | 0.496919 | + | 0.623117i | |||||
6.56139 | 0.523656 | 0.261828 | − | 0.965115i | ||||||
0.261828 | + | 0.965115i | ||||||||
−5.86220 | − | 7.35096i | −0.466371 | − | 0.584811i | |||||
1.64465 | + | 7.20566i | 0.130429 | + | 0.571446i | |||||
0.110081 | + | 0.482295i | 0.00870264 | + | 0.0381288i | |||||
−1.59204 | − | 1.99635i | −0.125470 | − | 0.157334i | |||||
−9.09921 | −0.714901 | |||||||||
3.52776 | + | 4.42367i | 0.276315 | + | 0.346488i | 0.900553 | − | 0.434746i | ||
−0.624238 | + | 0.781234i | ||||||||
3.61493 | + | 1.74086i | 0.282278 | + | 0.135938i | |||||
0.750319 | − | 0.940870i | 0.0584123 | − | 0.0732467i | |||||
7.92419 | − | 9.93663i | 0.615037 | − | 0.771232i | |||||
10.8919 | − | 5.24527i | 0.842842 | − | 0.405891i | 0.0379260 | − | 0.999281i | ||
0.804915 | + | 0.593389i | ||||||||
1.21632 | + | 5.32903i | 0.0938408 | + | 0.411143i | |||||
−4.37618 | + | 19.1733i | −0.336630 | + | 1.47487i | |||||
2.37027 | + | 1.14146i | 0.181792 | + | 0.0875462i | |||||
−0.149642 | + | 0.0720639i | −0.0114434 | + | 0.00551086i | |||||
0.310799 | − | 1.36170i | 0.0236982 | − | 0.103829i | |||||
11.6405 | 0.885008 | 0.442504 | − | 0.896767i | ||||||
0.442504 | + | 0.896767i | ||||||||
2.15743 | + | 9.12772i | 0.163554 | + | 0.691971i | |||||
−14.9239 | −1.12814 | |||||||||
−0.310799 | + | 1.36170i | −0.0234273 | + | 0.102642i | |||||
17.5119 | − | 8.43327i | 1.31627 | − | 0.633883i | |||||
−1.61469 | − | 0.777594i | −0.121026 | − | 0.0582831i | |||||
4.08440 | − | 17.8949i | 0.305282 | − | 1.33753i | −0.556752 | − | 0.830678i | ||
0.862034 | − | 0.506850i | ||||||||
0.00368129 | + | 0.0161288i | 0.000274387 | + | 0.00120217i | |||||
8.91422 | − | 4.29286i | 0.662589 | − | 0.319086i | −0.0721917 | − | 0.997391i | ||
0.734781 | + | 0.678305i | ||||||||
−11.1838 | + | 14.0240i | −0.828995 | + | 1.03953i | |||||
−5.28460 | + | 6.62667i | −0.390649 | + | 0.489858i | |||||
0.733037 | + | 0.353012i | 0.0540402 | + | 0.0260244i | |||||
−2.75364 | − | 3.45296i | −0.202452 | − | 0.253866i | |||||
−11.0828 | −0.812629 | |||||||||
4.63112 | + | 5.80724i | 0.338661 | + | 0.424667i | |||||
2.29155 | + | 10.0400i | 0.167129 | + | 0.732239i | |||||
−3.60827 | − | 15.8089i | −0.262463 | − | 1.14993i | |||||
−1.53188 | − | 1.92092i | −0.111134 | − | 0.139358i | |||||
0.424259 | 0.0306983 | 0.0153492 | − | 0.999882i | ||||||
0.0153492 | + | 0.999882i | ||||||||
−1.08592 | − | 1.36170i | −0.0783694 | − | 0.0982721i | |||||
9.30230 | + | 4.47975i | 0.669594 | + | 0.322460i | 0.737612 | − | 0.675225i | ||
−0.0680181 | + | 0.997684i | ||||||||
2.36695 | − | 2.96806i | 0.169937 | − | 0.213095i | |||||
−3.07035 | + | 3.85010i | −0.219872 | + | 0.275711i | |||||
−2.56733 | + | 1.23636i | −0.183381 | + | 0.0883116i | |||||
5.97308 | + | 26.1698i | 0.425564 | + | 1.86452i | 0.498050 | + | 0.867148i | ||
−0.0724862 | + | 0.997369i | ||||||||
−0.0103936 | + | 0.0455375i | −0.000738644 | + | 0.00323621i | |||||
6.12924 | + | 2.95169i | 0.434490 | + | 0.209239i | 0.638327 | − | 0.769765i | ||
−0.203837 | + | 0.979005i | ||||||||
4.28435 | − | 2.06324i | 0.302950 | − | 0.145893i | |||||
2.76655 | − | 12.1211i | 0.195138 | − | 0.854954i | |||||
−1.22182 | −0.0859671 | |||||||||
−15.1701 | + | 7.45002i | −1.06474 | + | 0.522889i | |||||
−9.26224 | −0.648486 | |||||||||
−0.441673 | + | 1.93510i | −0.0308478 | + | 0.135153i | |||||
−1.62908 | + | 0.784523i | −0.113503 | + | 0.0546603i | |||||
0.0245140 | + | 0.0118053i | 0.00170384 | + | 0.000820526i | |||||
1.27181 | − | 5.57215i | 0.0881840 | − | 0.386359i | |||||
−1.54360 | − | 6.76296i | −0.106773 | − | 0.467803i | |||||
−2.43627 | + | 1.17325i | −0.168119 | + | 0.0809617i | |||||
3.64156 | − | 4.56638i | 0.250696 | − | 0.314362i | −0.640521 | − | 0.767941i | ||
0.891216 | + | 0.453579i | ||||||||
2.64584 | − | 3.31777i | 0.181717 | − | 0.227866i | |||||
9.47380 | + | 4.56234i | 0.649134 | + | 0.312607i | |||||
2.58788 | + | 3.24509i | 0.176904 | + | 0.221830i | |||||
0.690954 | 0.0471226 | |||||||||
3.22144 | + | 4.03956i | 0.219191 | + | 0.274857i | |||||
−4.44385 | − | 19.4698i | −0.301668 | − | 1.32169i | |||||
−3.22757 | − | 14.1409i | −0.218599 | − | 0.957744i | |||||
−13.3342 | − | 16.7206i | −0.901042 | − | 1.12987i | |||||
−0.690954 | −0.0465841 | |||||||||
−18.9508 | − | 23.7636i | −1.27477 | − | 1.59851i | |||||
14.0093 | + | 6.74650i | 0.940240 | + | 0.452796i | |||||
−13.6769 | + | 17.1503i | −0.915874 | + | 1.14847i | 0.0726432 | + | 0.997358i | ||
−0.988517 | + | 0.151111i | ||||||||
1.95676 | − | 2.45370i | 0.130741 | − | 0.163944i | |||||
0.143276 | − | 0.0689982i | 0.00955174 | − | 0.00459988i | |||||
−3.71240 | − | 16.2651i | −0.246945 | − | 1.08194i | |||||
0.479626 | − | 2.10138i | 0.0318339 | − | 0.139474i | −0.956514 | − | 0.291688i | ||
0.988348 | + | 0.152214i | ||||||||
7.79351 | + | 3.75316i | 0.516138 | + | 0.248559i | |||||
−8.37172 | + | 4.03161i | −0.553219 | + | 0.266416i | −0.689539 | − | 0.724249i | ||
0.136320 | + | 0.990665i | ||||||||
−0.0895627 | + | 0.392400i | −0.00590559 | + | 0.0258741i | |||||
−7.63456 | −0.502317 | |||||||||
3.32507 | − | 4.23602i | 0.218302 | − | 0.278109i | |||||
−11.7848 | −0.772045 | −0.386022 | − | 0.922489i | ||||||
−0.386022 | + | 0.922489i | ||||||||
0.0425314 | − | 0.186342i | 0.00278037 | − | 0.0121816i | |||||
−4.58996 | + | 2.21041i | −0.299416 | + | 0.144191i | |||||
−10.0546 | − | 4.84204i | −0.654498 | − | 0.315190i | |||||
−3.64393 | + | 15.9651i | −0.236699 | + | 1.03704i | |||||
−3.71387 | − | 16.2715i | −0.240734 | − | 1.05473i | |||||
12.9462 | − | 6.23455i | 0.837419 | − | 0.403280i | 0.0345265 | − | 0.999404i | ||
0.802892 | + | 0.596124i | ||||||||
0.537202 | − | 0.673630i | 0.0346762 | − | 0.0434826i | |||||
−5.73880 | + | 7.19623i | −0.369669 | + | 0.463550i | −0.931521 | − | 0.363688i | ||
0.561852 | + | 0.827238i | ||||||||
8.15303 | + | 3.92629i | 0.524097 | + | 0.252392i | |||||
0.216675 | + | 0.271702i | 0.0138997 | + | 0.0174297i | |||||
4.86648 | 0.311544 | |||||||||
−0.878905 | − | 1.10211i | −0.0561512 | − | 0.0704114i | |||||
−1.55499 | − | 6.81287i | −0.0991427 | − | 0.434372i | |||||
6.31651 | + | 27.6744i | 0.401910 | + | 1.76088i | |||||
3.96744 | + | 4.97501i | 0.251933 | + | 0.315913i | |||||
−22.1357 | −1.40279 | |||||||||
3.00891 | + | 3.77305i | 0.190300 | + | 0.238629i | |||||
−5.33012 | − | 2.56685i | −0.336434 | − | 0.162018i | 0.258037 | − | 0.966135i | ||
−0.594471 | + | 0.804117i | ||||||||
0.0654373 | − | 0.0820558i | 0.00412216 | − | 0.00516903i | |||||
−0.708523 | + | 0.888459i | −0.0445444 | + | 0.0558569i | |||||
11.4359 | − | 5.50723i | 0.717551 | − | 0.345554i | |||||
−1.01959 | − | 4.46713i | −0.0638494 | − | 0.279743i | |||||
−0.222521 | + | 0.974928i | −0.0139076 | + | 0.0609330i | |||||
24.0750 | + | 11.5939i | 1.50176 | + | 0.723209i | 0.990665 | − | 0.136316i | ||
0.511094 | + | 0.859525i | ||||||||
−2.19173 | + | 1.05548i | −0.136451 | + | 0.0657113i | |||||
−6.23471 | + | 27.3160i | −0.387406 | + | 1.69734i | |||||
2.82742 | 0.175349 | |||||||||
0.111196 | − | 0.141660i | 0.00688287 | − | 0.00876853i | |||||
−14.7961 | −0.914104 | |||||||||
5.19684 | − | 22.7688i | 0.320451 | − | 1.40399i | −0.516302 | − | 0.856407i | ||
0.836753 | − | 0.547581i | ||||||||
2.19173 | − | 1.05548i | 0.134891 | − | 0.0649603i | |||||
1.89140 | + | 0.910851i | 0.116188 | + | 0.0559531i | |||||
−3.46844 | + | 15.1962i | −0.212664 | + | 0.931740i | |||||
0.694573 | + | 3.04312i | 0.0425072 | + | 0.186236i | |||||
−6.43147 | + | 3.09723i | −0.392865 | + | 0.189194i | |||||
9.73222 | − | 12.2038i | 0.593384 | − | 0.744080i | −0.390946 | − | 0.920413i | ||
0.984331 | + | 0.176333i | ||||||||
−1.59364 | + | 1.99836i | −0.0969859 | + | 0.121616i | |||||
−0.197924 | − | 0.0953153i | −0.0120230 | − | 0.00578999i | 0.427863 | − | 0.903844i | ||
−0.439886 | + | 0.898054i | ||||||||
3.31572 | + | 4.15778i | 0.201045 | + | 0.252102i | |||||
31.2411 | 1.89080 | |||||||||
−0.941003 | − | 1.17998i | −0.0568481 | − | 0.0712853i | |||||
1.47793 | + | 6.47525i | 0.0891227 | + | 0.390472i | |||||
−0.315322 | − | 1.38152i | −0.0189802 | − | 0.0831575i | |||||
2.33928 | + | 2.93336i | 0.140554 | + | 0.176249i | 0.847126 | − | 0.531392i | ||
−0.706572 | + | 0.707641i | ||||||||
8.75639 | 0.525173 | |||||||||
0.132678 | + | 0.166373i | 0.00794322 | + | 0.00996048i | |||||
1.39881 | + | 0.673630i | 0.0835947 | + | 0.0402571i | |||||
−15.2450 | + | 19.1167i | −0.909442 | + | 1.14040i | 0.0801905 | + | 0.996780i | ||
−0.989632 | + | 0.143624i | ||||||||
11.1830 | − | 14.0230i | 0.665935 | − | 0.835056i | |||||
−6.84512 | + | 3.29644i | −0.406900 | + | 0.195953i | −0.626127 | − | 0.779721i | ||
0.219227 | + | 0.975674i | ||||||||
−1.34344 | − | 5.88599i | −0.0797184 | − | 0.349269i | |||||
−0.952214 | + | 4.17192i | −0.0564043 | + | 0.247123i | |||||
7.19232 | + | 3.46364i | 0.425291 | + | 0.204809i | |||||
11.3451 | − | 5.46349i | 0.669678 | − | 0.322500i | |||||
−0.00744148 | + | 0.0326033i | −0.000438494 | + | 0.00192117i | |||||
11.2811 | 0.663593 | |||||||||
2.40904 | + | 1.13736i | 0.141464 | + | 0.0667882i | |||||
−6.61193 | −0.387598 | |||||||||
−2.73238 | + | 11.9713i | −0.159900 | + | 0.700569i | |||||
23.1750 | − | 11.1605i | 1.35390 | − | 0.652003i | 0.390631 | − | 0.920547i | ||
0.963267 | + | 0.268545i | ||||||||
4.47147 | + | 2.15334i | 0.260781 | + | 0.125586i | |||||
1.22847 | − | 5.38230i | 0.0715245 | − | 0.313369i | |||||
−1.98659 | − | 8.70382i | −0.115468 | − | 0.505899i | |||||
−6.50188 | + | 3.13114i | −0.377277 | + | 0.181687i | |||||
−2.95579 | + | 3.70644i | −0.171224 | + | 0.214709i | |||||
2.89932 | − | 3.63563i | 0.167672 | − | 0.210254i | |||||
−7.46196 | − | 3.59349i | −0.430817 | − | 0.207470i | |||||
−2.73304 | − | 3.42712i | −0.157530 | − | 0.197536i | |||||
−6.49415 | −0.373696 | |||||||||
1.32680 | + | 1.66375i | 0.0762226 | + | 0.0955801i | |||||
−1.10516 | − | 4.84204i | −0.0633855 | − | 0.277710i | |||||
0.535705 | + | 2.34708i | 0.0306744 | + | 0.134393i | |||||
0.110883 | + | 0.139043i | 0.00633877 | + | 0.00794857i | |||||
1.81399 | 0.103530 | 0.0517649 | − | 0.998659i | ||||||
0.0517649 | + | 0.998659i | ||||||||
2.73304 | + | 3.42712i | 0.155729 | + | 0.195278i | |||||
2.83733 | + | 1.36639i | 0.161410 | + | 0.0777310i | |||||
−1.96268 | + | 2.46113i | −0.111473 | + | 0.139783i | |||||
12.1020 | − | 15.1754i | 0.686239 | − | 0.860517i | −0.309673 | − | 0.950843i | ||
0.995912 | + | 0.0903265i | ||||||||
−8.96867 | + | 4.31909i | −0.507751 | + | 0.244520i | |||||
−7.54006 | − | 33.0352i | −0.426189 | − | 1.86726i | −0.493847 | − | 0.869549i | ||
0.0676576 | − | 0.997709i | ||||||||
−1.46005 | + | 6.39688i | −0.0823952 | + | 0.360997i | |||||
0.0467785 | + | 0.0225273i | 0.00263567 | + | 0.00126927i | |||||
8.47112 | − | 4.07948i | 0.476538 | − | 0.229489i | |||||
−1.22333 | + | 5.35977i | −0.0687092 | + | 0.301035i | −0.997593 | − | 0.0693356i | ||
0.928884 | + | 0.370370i | ||||||||
−7.39097 | −0.414465 | |||||||||
4.73476 | + | 5.84430i | 0.265096 | + | 0.327218i | |||||
−0.494698 | −0.0276545 | |||||||||
1.60862 | − | 7.04781i | 0.0897843 | − | 0.393371i | |||||
2.30056 | − | 1.10789i | 0.128205 | − | 0.0617403i | |||||
−23.7965 | − | 11.4598i | −1.32407 | − | 0.637640i | |||||
2.02476 | − | 8.87107i | 0.112487 | − | 0.492837i | |||||
−6.04779 | − | 26.4971i | −0.335471 | − | 1.46980i | |||||
−5.09776 | + | 2.45495i | −0.282339 | + | 0.135967i | |||||
−15.7508 | + | 19.7509i | −0.871021 | + | 1.09223i | |||||
−2.50161 | + | 3.13691i | −0.138128 | + | 0.173207i | |||||
29.1190 | + | 14.0230i | 1.60538 | + | 0.773112i | |||||
0.750319 | + | 0.940870i | 0.0413037 | + | 0.0517932i | |||||
−13.6463 | −0.750067 | −0.375034 | − | 0.927011i | ||||||
−0.375034 | + | 0.927011i | ||||||||
7.92419 | + | 9.93663i | 0.434897 | + | 0.545343i | |||||
−0.0664350 | − | 0.291071i | −0.00364062 | − | 0.0159506i | |||||
2.69008 | + | 11.7860i | 0.147195 | + | 0.644902i | |||||
−2.20176 | − | 2.76092i | −0.120295 | − | 0.150845i | |||||
−5.46607 | −0.298199 | |||||||||
14.0705 | + | 17.6438i | 0.766469 | + | 0.961122i | 0.999937 | − | 0.0112429i | ||
−0.233468 | + | 0.972365i | ||||||||
−17.7188 | − | 8.53293i | −0.963776 | − | 0.464130i | |||||
−18.1168 | + | 22.7177i | −0.983968 | + | 1.23386i | |||||
−1.64028 | + | 2.05684i | −0.0889566 | + | 0.111548i | |||||
−8.00754 | + | 3.85623i | −0.433632 | + | 0.208826i | |||||
−0.0369586 | − | 0.161926i | −0.00199849 | − | 0.00875596i | |||||
2.89852 | − | 12.6993i | 0.156505 | − | 0.685695i | |||||
1.25840 | + | 0.606013i | 0.0678483 | + | 0.0326740i | |||||
0.631588 | − | 0.304157i | 0.0340036 | − | 0.0163752i | |||||
−2.59025 | + | 11.3486i | −0.139253 | + | 0.610105i | |||||
−2.97305 | −0.159602 | −0.0798008 | − | 0.996811i | ||||||
−0.0798008 | + | 0.996811i | ||||||||
−9.37894 | + | 0.0722295i | −0.502764 | + | 0.00387191i | |||||
−5.73913 | −0.307208 | −0.153604 | − | 0.988132i | ||||||
−0.153604 | + | 0.988132i | ||||||||
3.32089 | − | 14.5498i | 0.177509 | − | 0.777717i | |||||
26.6061 | − | 12.8128i | 1.42013 | − | 0.683898i | |||||
−1.25840 | − | 0.606013i | −0.0670729 | − | 0.0323006i | |||||
1.44019 | − | 6.30988i | 0.0766536 | − | 0.335841i | −0.922031 | − | 0.387116i | ||
0.998685 | + | 0.0512748i | ||||||||
4.32507 | + | 18.9494i | 0.229875 | + | 1.00715i | |||||
2.69090 | − | 1.29587i | 0.142818 | − | 0.0687775i | |||||
1.11740 | − | 1.40118i | 0.0592221 | − | 0.0742622i | |||||
−18.1239 | + | 22.7267i | −0.959221 | + | 1.20283i | |||||
16.5374 | + | 7.96398i | 0.874028 | + | 0.420910i | |||||
6.69717 | + | 8.39798i | 0.353463 | + | 0.443229i | 0.926496 | − | 0.376303i | ||
−0.573034 | + | 0.819532i | ||||||||
−0.0165436 | −0.000871922 | |||||||||
3.53313 | + | 4.43041i | 0.185954 | + | 0.233179i | |||||
2.20163 | + | 9.64598i | 0.115715 | + | 0.506981i | |||||
−3.50710 | − | 15.3656i | −0.184075 | − | 0.806485i | |||||
−11.1838 | − | 14.0240i | −0.586188 | − | 0.735056i | |||||
−6.07449 | −0.317954 | |||||||||
−5.28460 | − | 6.62667i | −0.276230 | − | 0.346382i | |||||
−17.0637 | − | 8.21747i | −0.890720 | − | 0.428948i | −0.0681919 | − | 0.997672i | ||
−0.822529 | + | 0.568724i | ||||||||
−0.507277 | + | 0.636105i | −0.0264436 | + | 0.0331593i | |||||
−0.0836580 | + | 0.104904i | −0.00435506 | + | 0.00546107i | |||||
3.97913 | − | 1.91625i | 0.206865 | − | 0.0996209i | |||||
−2.96355 | − | 12.9842i | −0.153860 | − | 0.674104i | |||||
2.46615 | − | 10.8049i | 0.127864 | − | 0.560208i | |||||
−2.19298 | − | 1.05608i | −0.113548 | − | 0.0546819i | 0.376247 | − | 0.926519i | ||
−0.489796 | + | 0.871837i | ||||||||
−6.69216 | + | 3.22277i | −0.346043 | + | 0.166646i | |||||
1.87033 | − | 8.19446i | 0.0965835 | − | 0.423160i | |||||
−10.2982 | −0.531087 | |||||||||
−19.3749 | − | 23.9152i | −0.997859 | − | 1.23170i | |||||
16.2154 | 0.834031 | |||||||||
3.81433 | − | 16.7117i | 0.195929 | − | 0.858422i | −0.777400 | − | 0.629007i | ||
0.973329 | − | 0.229415i | ||||||||
2.21363 | − | 1.06603i | 0.113557 | − | 0.0546862i | |||||
−19.9176 | − | 9.59182i | −1.02041 | − | 0.491404i | |||||
−0.0944066 | + | 0.413622i | −0.00483026 | + | 0.0211628i | |||||
5.29096 | + | 23.1812i | 0.270355 | + | 1.18450i | 0.909595 | + | 0.415497i | ||
−0.639239 | + | 0.769008i | ||||||||
1.56920 | − | 0.755686i | 0.0800778 | − | 0.0385634i | |||||
−1.35203 | + | 1.69539i | −0.0689057 | + | 0.0864051i | |||||
−6.43739 | + | 8.07223i | −0.327655 | + | 0.410866i | |||||
0.0420830 | + | 0.0202661i | 0.00213920 | + | 0.00103018i | |||||
2.36695 | + | 2.96806i | 0.120164 | + | 0.150681i | |||||
−11.5272 | −0.584453 | −0.292227 | − | 0.956349i | ||||||
−0.292227 | + | 0.956349i | ||||||||
−3.07035 | − | 3.85010i | −0.155473 | − | 0.194957i | |||||
0.962797 | + | 4.21829i | 0.0486907 | + | 0.213328i | |||||
−0.634079 | − | 2.77808i | −0.0320258 | − | 0.140314i | |||||
16.0673 | + | 20.1478i | 0.810489 | + | 1.01632i | |||||
−26.8428 | −1.35232 | |||||||||
2.90002 | + | 3.63651i | 0.145916 | + | 0.182973i | |||||
−0.0420830 | − | 0.0202661i | −0.00211475 | − | 0.00101841i | |||||
18.0708 | − | 22.6601i | 0.906948 | − | 1.13728i | −0.0830990 | − | 0.996541i | ||
0.990047 | − | 0.140736i | ||||||||
−4.24156 | + | 5.31875i | −0.212610 | + | 0.266605i | |||||
24.4591 | − | 11.7789i | 1.22449 | − | 0.589682i | |||||
1.05815 | + | 4.63605i | 0.0529074 | + | 0.231802i | |||||
−2.29856 | + | 10.0707i | −0.114785 | + | 0.502905i | 0.884550 | + | 0.466445i | ||
−0.999335 | + | 0.0364602i | ||||||||
11.2016 | + | 5.39438i | 0.558683 | + | 0.269047i | |||||
32.7673 | − | 15.7799i | 1.63226 | − | 0.786054i | |||||
0.271881 | − | 1.19119i | 0.0135266 | − | 0.0592638i | |||||
4.50136 | 0.223674 | |||||||||
−3.88755 | − | 16.4476i | −0.192936 | − | 0.816280i | |||||
12.4694 | 0.618086 | |||||||||
2.06104 | − | 9.03001i | 0.102037 | − | 0.447052i | |||||
−8.97519 | + | 4.32222i | −0.443794 | + | 0.213720i | −0.642416 | − | 0.766356i | ||
0.198622 | + | 0.980076i | ||||||||
−1.78830 | − | 0.861198i | −0.0883177 | − | 0.0425316i | |||||
−0.584925 | + | 2.56273i | −0.0288522 | + | 0.126410i | |||||
−0.402349 | − | 1.76281i | −0.0198223 | − | 0.0868473i | |||||
−31.5553 | + | 15.1962i | −1.55273 | + | 0.747757i | |||||
−0.0169642 | + | 0.0212725i | −0.000833746 | + | 0.00104548i | |||||
−3.92009 | + | 4.91563i | −0.192429 | + | 0.241299i | |||||
5.14944 | + | 2.47984i | 0.252472 | + | 0.121584i | |||||
−9.50872 | − | 11.9236i | −0.465644 | − | 0.583899i | |||||
6.93688 | 0.339294 | |||||||||
17.6773 | + | 22.1667i | 0.863595 | + | 1.08291i | 0.995788 | + | 0.0916894i | ||
−0.132193 | + | 0.991224i | ||||||||
−0.601709 | − | 2.63626i | −0.0293604 | − | 0.128636i | |||||
2.11840 | + | 9.28130i | 0.103244 | + | 0.452343i | 0.999953 | + | 0.00972116i | ||
−0.896708 | + | 0.442622i | ||||||||
3.64156 | + | 4.56638i | 0.177268 | + | 0.222288i | |||||
−0.344388 | −0.0167447 | |||||||||
2.64584 | + | 3.31777i | 0.128493 | + | 0.161125i | |||||
22.7842 | + | 10.9723i | 1.10519 | + | 0.532234i | |||||
−6.55608 | + | 8.22106i | −0.317643 | + | 0.398312i | |||||
9.52251 | − | 11.9409i | 0.460827 | − | 0.577859i | |||||
−3.73959 | + | 1.80089i | −0.180760 | + | 0.0870493i | |||||
−3.09384 | − | 13.5550i | −0.149372 | − | 0.654441i | |||||
−0.153752 | + | 0.673630i | −0.00741456 | + | 0.0324853i | |||||
17.0958 | + | 8.23291i | 0.823477 | + | 0.396566i | 0.797665 | − | 0.603101i | ||
0.0258122 | + | 0.999667i | ||||||||
−4.65512 | + | 2.24179i | −0.223969 | + | 0.107858i | |||||
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−0.865897 | + | 0.500222i | ||||||||
19.9705 | 0.958613 | |||||||||
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14.5046 | 0.694644 | |||||||||
0.899171 | − | 3.93953i | 0.0430132 | − | 0.188453i | |||||
19.2685 | − | 9.27921i | 0.920683 | − | 0.443378i | |||||
17.9255 | + | 8.63248i | 0.855539 | + | 0.412006i | 0.809631 | − | 0.586940i | ||
0.0459084 | + | 0.998946i | ||||||||
0.153752 | − | 0.673630i | 0.00732982 | − | 0.0321140i | |||||
−0.0212047 | − | 0.0929038i | −0.00100975 | − | 0.00442399i | |||||
27.3847 | − | 13.1878i | 1.30256 | − | 0.627279i | |||||
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−0.945097 | + | 0.326790i | ||||||||
−9.69471 | + | 12.1568i | −0.460091 | + | 0.576935i | |||||
0.798784 | + | 0.384674i | 0.0378660 | + | 0.0182353i | |||||
−13.6769 | − | 17.1503i | −0.647620 | − | 0.812090i | |||||
8.25681 | 0.390534 | |||||||||
1.95676 | + | 2.45370i | 0.0924481 | + | 0.115926i | |||||
−2.41460 | − | 10.5790i | −0.113952 | − | 0.499256i | −0.999404 | − | 0.0345250i | ||
0.885452 | − | 0.464731i | ||||||||
0.0353863 | + | 0.155037i | 0.00166813 | + | 0.00730853i | |||||
−3.49404 | − | 4.38138i | −0.164528 | − | 0.206311i | |||||
16.6834 | 0.784720 | |||||||||
7.05212 | + | 8.84307i | 0.331337 | + | 0.415484i | |||||
1.94197 | + | 0.935202i | 0.0911411 | + | 0.0438912i | |||||
5.53258 | − | 6.93764i | 0.259371 | − | 0.325242i | |||||
−5.39328 | + | 6.76296i | −0.252563 | + | 0.316704i | |||||
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−0.397550 | + | 0.917580i | ||||||||
−2.06764 | − | 9.05894i | −0.0966146 | − | 0.423296i | |||||
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−0.362632 | − | 0.174634i | −0.0169078 | − | 0.00814237i | |||||
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−0.183211 | + | 0.983074i | ||||||||
1.69885 | − | 7.44314i | 0.0790376 | − | 0.346286i | |||||
3.22072 | 0.149680 | 0.0748398 | − | 0.997196i | ||||||
0.0748398 | + | 0.997196i | ||||||||
3.38992 | + | 4.18431i | 0.157373 | + | 0.194252i | |||||
5.48263 | 0.254251 | |||||||||
2.62235 | − | 11.4893i | 0.121478 | − | 0.532231i | |||||
−20.5930 | + | 9.91706i | −0.952929 | + | 0.458907i | −0.844712 | − | 0.535221i | ||
−0.108217 | + | 0.994127i | ||||||||
0.172206 | + | 0.0829302i | 0.00796024 | + | 0.00383345i | |||||
−4.98516 | + | 21.8414i | −0.230193 | + | 1.00854i | |||||
−1.13363 | − | 4.96675i | −0.0522903 | − | 0.229099i | |||||
10.2961 | − | 4.95835i | 0.474420 | − | 0.228469i | |||||
6.95799 | − | 8.72505i | 0.320268 | − | 0.401603i | |||||
−1.21632 | + | 1.52521i | −0.0559263 | + | 0.0701293i | |||||
−14.7540 | − | 7.10513i | −0.677672 | − | 0.326350i | |||||
−14.7252 | − | 18.4648i | −0.675637 | − | 0.847222i | |||||
16.6900 | 0.764984 | |||||||||
0.0884813 | + | 0.110952i | 0.00405128 | + | 0.00508015i | |||||
3.19744 | + | 14.0089i | 0.146248 | + | 0.640753i | |||||
−0.477409 | − | 2.09166i | −0.0218134 | − | 0.0955706i | 0.962849 | − | 0.270039i | ||
−0.984663 | + | 0.174468i | ||||||||
0.537202 | + | 0.673630i | 0.0245198 | + | 0.0307469i | |||||
−51.0256 | −2.32657 | |||||||||
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−4.00683 | − | 1.92959i | −0.182317 | − | 0.0877993i | |||||
−5.64207 | + | 7.07493i | −0.256458 | + | 0.321588i | |||||
−1.17093 | + | 1.46830i | −0.0531691 | + | 0.0666719i | |||||
−0.313105 | + | 0.150783i | −0.0142027 | + | 0.00683968i | |||||
−4.84560 | − | 21.2300i | −0.219575 | − | 0.962021i | −0.957793 | − | 0.287459i | ||
0.738218 | − | 0.674562i | ||||||||
−1.08289 | + | 4.74446i | −0.0490203 | + | 0.214772i | |||||
8.87865 | + | 4.27573i | 0.401507 | + | 0.193355i | |||||
1.27005 | − | 0.611626i | 0.0573752 | − | 0.0276304i | |||||
8.64786 | − | 37.8888i | 0.390273 | − | 1.70990i | −0.273423 | − | 0.961894i | ||
0.663696 | − | 0.748002i | ||||||||
6.98807 | 0.315047 | |||||||||
28.6374 | − | 0.220544i | 1.28977 | − | 0.00993279i | |||||
−28.3861 | −1.27715 | |||||||||
0.00514172 | − | 0.0225273i | 0.000231103 | − | 0.00101253i | |||||
−5.73311 | + | 2.76092i | −0.257424 | + | 0.123969i | |||||
−17.0712 | − | 8.22106i | −0.765748 | − | 0.368765i | |||||
4.92566 | − | 21.5807i | 0.220724 | − | 0.967056i | |||||
−8.74490 | − | 38.3139i | −0.391476 | − | 1.71517i | −0.659457 | − | 0.751742i | ||
0.267981 | − | 0.963424i | ||||||||
−4.34800 | + | 2.09389i | −0.194449 | + | 0.0936415i | |||||
13.1278 | − | 16.4617i | 0.586506 | − | 0.735456i | |||||
3.68856 | − | 4.62530i | 0.164628 | − | 0.206437i | |||||
−25.2735 | − | 12.1711i | −1.12689 | − | 0.542680i | −0.224874 | − | 0.974388i | ||
−0.902014 | + | 0.431707i | ||||||||
0.0654373 | + | 0.0820558i | 0.00291481 | + | 0.00365506i | |||||
0.604433 | 0.0268969 | |||||||||
−0.708523 | − | 0.888459i | −0.0314977 | − | 0.0394968i | |||||
7.62190 | + | 33.3937i | 0.338501 | + | 1.48307i | |||||
2.82443 | + | 12.3746i | 0.125314 | + | 0.549035i | |||||
1.06278 | + | 1.33268i | 0.0471069 | + | 0.0590701i | 0.804827 | − | 0.593510i | ||
−0.757720 | + | 0.652580i | ||||||||
4.58201 | 0.202895 | |||||||||
24.0274 | + | 30.1294i | 1.06291 | + | 1.33285i | |||||
−0.900969 | − | 0.433884i | −0.0398176 | − | 0.0191751i | |||||
15.9995 | − | 20.0627i | 0.706394 | − | 0.885790i | |||||
−16.6604 | + | 20.8915i | −0.734860 | + | 0.921486i | |||||
0.805903 | − | 0.388102i | 0.0355123 | − | 0.0171018i | |||||
−0.541311 | − | 2.37164i | −0.0238299 | − | 0.104406i | |||||
3.20065 | − | 14.0230i | 0.140765 | − | 0.616730i | |||||
−25.2438 | − | 12.1568i | −1.10915 | − | 0.534138i | |||||
18.2662 | − | 8.79653i | 0.801797 | − | 0.386125i | |||||
−0.629161 | + | 2.75653i | −0.0275905 | + | 0.120882i | |||||
−21.0834 | −0.923678 | −0.461839 | − | 0.886964i | ||||||
−0.461839 | + | 0.886964i | ||||||||
0.113365 | + | 0.139930i | 0.00496184 | + | 0.00612459i | |||||
−8.93606 | −0.390747 | −0.195373 | − | 0.980729i | ||||||
−0.195373 | + | 0.980729i | ||||||||
3.29243 | − | 14.4251i | 0.143831 | − | 0.630163i | |||||
−23.4186 | + | 11.2778i | −1.02207 | + | 0.492203i | |||||
21.0416 | + | 10.1331i | 0.917457 | + | 0.441824i | |||||
−7.53008 | + | 32.9914i | −0.328015 | + | 1.43713i | |||||
0.541311 | + | 2.37164i | 0.0235576 | + | 0.103212i | |||||
20.1259 | − | 9.69211i | 0.875038 | − | 0.421396i | |||||
−1.30889 | + | 1.64130i | −0.0568546 | + | 0.0712934i | |||||
0.232687 | − | 0.291781i | 0.0100978 | − | 0.0126622i | |||||
−14.0434 | − | 6.76296i | −0.608860 | − | 0.293211i | |||||
14.2978 | + | 17.9289i | 0.619307 | + | 0.776586i | |||||
−3.12138 | −0.135076 | |||||||||
−1.28022 | − | 1.60534i | −0.0553486 | − | 0.0694050i | |||||
−1.58844 | − | 6.95942i | −0.0686103 | − | 0.300601i | |||||
−7.11370 | − | 31.1672i | −0.306979 | − | 1.34496i | |||||
9.73222 | + | 12.2038i | 0.419586 | + | 0.526144i | |||||
3.97998 | 0.171430 | |||||||||
−1.59364 | − | 1.99836i | −0.0685794 | − | 0.0859958i | |||||
10.7827 | + | 5.19269i | 0.463586 | + | 0.223251i | 0.651072 | − | 0.759016i | ||
−0.187486 | + | 0.982267i | ||||||||
0.136968 | − | 0.171752i | 0.00588327 | − | 0.00737739i | |||||
10.7441 | − | 13.4727i | 0.461074 | − | 0.578169i | |||||
−4.79135 | + | 2.30739i | −0.205427 | + | 0.0989286i | |||||
1.59668 | + | 6.99549i | 0.0683940 | + | 0.299654i | |||||
−6.95179 | + | 30.4578i | −0.297509 | + | 1.30347i | |||||
21.7331 | + | 10.4661i | 0.929239 | + | 0.447498i | 0.836361 | − | 0.548180i | ||
0.0928783 | + | 0.995677i | ||||||||
1.35979 | − | 0.654840i | 0.0580873 | − | 0.0279734i | |||||
−0.0362138 | + | 0.158663i | −0.00154557 | + | 0.00677157i | |||||
−6.64177 | −0.283206 | |||||||||
−24.1857 | − | 11.4186i | −1.03035 | − | 0.486450i | |||||
1.41705 | 0.0603134 | |||||||||
6.56613 | − | 28.7681i | 0.279220 | − | 1.22334i | |||||
−3.38036 | + | 1.62789i | −0.143618 | + | 0.0691626i | |||||
−6.93036 | − | 3.33748i | −0.294177 | − | 0.141668i | |||||
−1.94848 | + | 8.53684i | −0.0826339 | + | 0.362043i | |||||
4.05033 | + | 17.7456i | 0.171618 | + | 0.751907i | 0.985333 | + | 0.170643i | ||
−0.813715 | + | 0.581264i | ||||||||
−0.191725 | + | 0.0923300i | −0.00811637 | + | 0.00390864i | |||||
4.97724 | − | 6.24126i | 0.210515 | − | 0.263977i | |||||
−0.968004 | + | 1.21384i | −0.0409057 | + | 0.0512941i | |||||
11.6556 | + | 5.61303i | 0.492099 | + | 0.236982i | |||||
−15.2450 | − | 19.1167i | −0.643072 | − | 0.806387i | |||||
−31.5149 | −1.32820 | −0.664098 | − | 0.747646i | ||||||
−0.664098 | + | 0.747646i | ||||||||
11.1830 | + | 14.0230i | 0.470887 | + | 0.590474i | |||||
1.83652 | + | 8.04631i | 0.0772629 | + | 0.338511i | |||||
−1.69060 | − | 7.40702i | −0.0710614 | − | 0.311340i | |||||
−17.8049 | − | 22.3267i | −0.747737 | − | 0.937633i | |||||
6.03736 | 0.253322 | |||||||||
−17.7477 | − | 22.2549i | −0.744023 | − | 0.932975i | 0.255404 | − | 0.966834i | ||
−0.999427 | + | 0.0338594i | ||||||||
−3.85544 | − | 1.85668i | −0.161486 | − | 0.0777678i | |||||
−2.65790 | + | 3.33290i | −0.111230 | + | 0.139478i | −0.834330 | − | 0.551266i | ||
0.723100 | + | 0.690743i | ||||||||
−4.97724 | + | 6.24126i | −0.208109 | + | 0.260960i | |||||
0.665747 | − | 0.320607i | 0.0278120 | − | 0.0133935i | |||||
2.80200 | + | 12.2764i | 0.116953 | + | 0.512405i | |||||
−0.860919 | + | 3.77193i | −0.0359028 | + | 0.157300i | |||||
−0.0301299 | − | 0.0145098i | −0.00125541 | − | 0.000604576i | |||||
−20.3474 | + | 9.79878i | −0.847072 | + | 0.407929i | −0.806490 | − | 0.591248i | ||
−0.0405823 | + | 0.999176i | ||||||||
−2.51028 | + | 10.9982i | −0.104414 | + | 0.457467i | |||||
17.9824 | 0.747324 | |||||||||
−1.64491 | + | 2.09555i | −0.0683011 | + | 0.0870131i | |||||
39.8872 | 1.65480 | |||||||||
1.47129 | − | 6.44615i | 0.0609870 | − | 0.267202i | |||||
−5.34013 | + | 2.57167i | −0.221166 | + | 0.106508i | |||||
−11.0632 | − | 5.32774i | −0.457797 | − | 0.220463i | |||||
−0.0210402 | + | 0.0921833i | −0.000869906 | + | 0.00381131i | |||||
5.72375 | + | 25.0774i | 0.236446 | + | 1.03594i | |||||
30.1868 | − | 14.5372i | 1.24594 | − | 0.600015i | 0.309523 | − | 0.950892i | ||
0.936422 | + | 0.350877i | ||||||||
−3.09435 | + | 3.88019i | −0.127609 | + | 0.160016i | |||||
19.7045 | − | 24.7087i | 0.811910 | − | 1.01810i | |||||
4.97399 | + | 2.39535i | 0.204776 | + | 0.0986149i | |||||
29.1490 | + | 36.5517i | 1.19903 | + | 1.50354i | |||||
8.92766 | 0.366925 | |||||||||
8.32767 | + | 10.4426i | 0.341977 | + | 0.428825i | 0.922844 | − | 0.385173i | ||
−0.580868 | + | 0.813998i | ||||||||
−1.60583 | − | 7.03561i | −0.0658881 | − | 0.288675i | |||||
1.83724 | + | 8.04949i | 0.0753197 | + | 0.329997i | |||||
−2.95579 | − | 3.70644i | −0.121074 | − | 0.151822i | |||||
11.8485 | 0.484928 | |||||||||
2.89932 | + | 3.63563i | 0.118562 | + | 0.148672i | |||||
−0.824990 | − | 0.397294i | −0.0337082 | − | 0.0162330i | 0.416954 | − | 0.908928i | ||
−0.450662 | + | 0.892695i | ||||||||
5.16384 | − | 6.47525i | 0.210813 | − | 0.264351i | |||||
3.60037 | − | 4.51472i | 0.146862 | − | 0.184159i | −0.702959 | − | 0.711230i | ||
0.849821 | + | 0.527071i | ||||||||
3.94935 | − | 1.90191i | 0.160964 | − | 0.0775160i | |||||
−0.0531202 | − | 0.232735i | −0.00216322 | − | 0.00947770i | |||||
1.44508 | − | 6.33133i | 0.0587996 | − | 0.257618i | |||||
−4.03329 | − | 1.94233i | −0.163977 | − | 0.0789669i | |||||
−1.91728 | + | 0.923313i | −0.0778842 | + | 0.0375070i | |||||
3.33385 | − | 14.6065i | 0.135317 | − | 0.592861i | −0.861111 | − | 0.508416i | ||
0.996428 | − | 0.0844449i | ||||||||
4.96656 | 0.201421 | |||||||||
−18.1751 | + | 23.1544i | −0.736492 | + | 0.938264i | |||||
−2.40744 | −0.0974743 | |||||||||
−13.0973 | + | 57.3829i | −0.529859 | + | 2.32146i | |||||
−0.160231 | + | 0.0771631i | −0.00647695 | + | 0.00311914i | |||||
21.5458 | + | 10.3759i | 0.870228 | + | 0.419080i | 0.815046 | − | 0.579396i | ||
0.0551825 | + | 0.998476i | ||||||||
−0.403651 | + | 1.76851i | −0.0162900 | + | 0.0713712i | |||||
0.769252 | + | 3.37031i | 0.0310192 | + | 0.135904i | |||||
−3.94935 | + | 1.90191i | −0.159124 | + | 0.0766300i | |||||
−9.16964 | + | 11.4984i | −0.369156 | + | 0.462907i | −0.931364 | − | 0.364089i | ||
0.562208 | + | 0.826996i | ||||||||
−1.96349 | + | 2.46214i | −0.0789833 | + | 0.0990419i | |||||
−20.6449 | − | 9.94208i | −0.829790 | − | 0.399606i | −0.0297537 | − | 0.999557i | ||
−0.800036 | + | 0.599951i | ||||||||
−1.96268 | − | 2.46113i | −0.0788233 | − | 0.0988413i | |||||
−4.20375 | −0.168691 | |||||||||
12.1020 | + | 15.1754i | 0.485244 | + | 0.608477i | |||||
−1.25158 | − | 5.48352i | −0.0501434 | − | 0.219693i | |||||
−2.21508 | − | 9.70490i | −0.0886741 | − | 0.388507i | |||||
13.3358 | + | 16.7226i | 0.533433 | + | 0.668904i | |||||
33.8847 | 1.35431 | |||||||||
−7.53288 | − | 9.44594i | −0.300834 | − | 0.377234i | |||||
−5.91161 | − | 2.84688i | −0.235899 | − | 0.113603i | |||||
29.6016 | − | 37.1192i | 1.18029 | − | 1.48004i | |||||
−0.0323717 | + | 0.0405929i | −0.00128972 | + | 0.00161726i | |||||
−11.8128 | + | 5.68872i | −0.470258 | + | 0.226465i | −0.653977 | − | 0.756514i | ||
0.183719 | + | 0.982979i | ||||||||
2.09219 | + | 9.16650i | 0.0832230 | + | 0.364624i | |||||
2.26359 | − | 9.91742i | 0.0899695 | − | 0.394182i | |||||
−4.95317 | − | 2.38532i | −0.196716 | − | 0.0947333i | |||||
−5.65731 | + | 2.72442i | −0.224503 | + | 0.108115i | |||||
1.64465 | − | 7.20566i | 0.0652144 | − | 0.285723i | |||||
−16.2863 | −0.645287 | |||||||||
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0.201900 | 0.00798702 | |||||||||
0.110081 | − | 0.482295i | 0.00435132 | − | 0.0190644i | |||||
38.8282 | − | 18.6987i | 1.53362 | − | 0.738553i | 0.539017 | − | 0.842295i | ||
0.994604 | + | 0.103742i | ||||||||
6.51316 | + | 3.13657i | 0.257054 | + | 0.123791i | |||||
1.92324 | − | 8.42626i | 0.0758451 | − | 0.332299i | −0.922743 | − | 0.385415i | ||
0.998588 | + | 0.0531161i | ||||||||
0.568191 | + | 2.48941i | 0.0223899 | + | 0.0980964i | |||||
1.08424 | − | 0.522144i | 0.0426920 | − | 0.0205594i | |||||
16.4677 | − | 20.6498i | 0.647913 | − | 0.812457i | |||||
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0.719641 | + | 0.694346i | ||||||||
8.19810 | + | 3.94800i | 0.322052 | + | 0.155092i | |||||
9.71835 | + | 12.1864i | 0.381479 | + | 0.478359i | |||||
27.1785 | 1.06603 | |||||||||
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−1.25904 | − | 5.51622i | −0.0493079 | − | 0.216032i | |||||
−1.22812 | − | 5.38073i | −0.0480599 | − | 0.210564i | 0.945197 | − | 0.326502i | ||
−0.993257 | + | 0.115938i | ||||||||
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7.31958 | 0.286000 | |||||||||
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−0.369971 | − | 0.178169i | −0.0144340 | − | 0.00695103i | |||||
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0.758942 | + | 0.651158i | ||||||||
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5.80735 | + | 25.4436i | 0.225880 | + | 0.989643i | 0.952961 | + | 0.303092i | ||
−0.727082 | + | 0.686551i | ||||||||
3.03658 | − | 13.3041i | 0.118020 | − | 0.517080i | |||||
−47.6954 | − | 22.9689i | −1.85233 | − | 0.892037i | |||||
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1.71583 | − | 7.51754i | 0.0665371 | − | 0.291518i | |||||
0.298556 | 0.0115688 | |||||||||
1.00782 | + | 4.26393i | 0.0390231 | + | 0.165100i | |||||
−12.0891 | −0.467742 | |||||||||
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3.18164 | − | 1.53220i | 0.122917 | − | 0.0591939i | |||||
−6.12397 | − | 2.94915i | −0.236413 | − | 0.113851i | |||||
1.21632 | − | 5.32903i | 0.0469204 | − | 0.205572i | |||||
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0.789489 | − | 0.613764i | ||||||||
−20.3325 | + | 9.79160i | −0.783177 | + | 0.377158i | |||||
−15.3188 | + | 19.2092i | −0.589622 | + | 0.739363i | |||||
12.2618 | − | 15.3758i | 0.471608 | − | 0.591377i | |||||
−9.15884 | − | 4.41066i | −0.352003 | − | 0.169516i | 0.249523 | − | 0.968369i | ||
−0.601526 | + | 0.798853i | ||||||||
−18.1168 | − | 22.7177i | −0.695771 | − | 0.872469i | |||||
11.9143 | 0.457228 | |||||||||
−1.64028 | − | 2.05684i | −0.0629018 | − | 0.0788764i | |||||
−0.835355 | − | 3.65993i | −0.0320109 | − | 0.140249i | |||||
−1.97770 | − | 8.66486i | −0.0757300 | − | 0.331795i | |||||
12.7734 | + | 16.0173i | 0.488760 | + | 0.612886i | 0.963653 | − | 0.267158i | ||
−0.474893 | + | 0.880044i | ||||||||
0.166090 | 0.00635062 | |||||||||
0.465513 | + | 0.583735i | 0.0177863 | + | 0.0223033i | |||||
11.7359 | + | 5.65170i | 0.448078 | + | 0.215783i | |||||
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−0.870839 | + | 1.09200i | −0.0332004 | + | 0.0416320i | |||||
21.8521 | − | 10.5234i | 0.832500 | − | 0.400911i | |||||
0.155989 | + | 0.683434i | 0.00593841 | + | 0.0260179i | |||||
6.86393 | − | 30.0728i | 0.261116 | − | 1.14402i | −0.658927 | − | 0.752207i | ||
0.920043 | − | 0.391817i | ||||||||
−10.4877 | − | 5.05061i | −0.398682 | − | 0.191995i | |||||
−0.132073 | + | 0.0636031i | −0.00501704 | + | 0.00241608i | |||||
0.661565 | − | 2.89851i | 0.0251127 | − | 0.110026i | |||||
−4.33177 | −0.164313 | |||||||||
2.01659 | − | 9.15987i | 0.0764388 | − | 0.347204i | |||||
−21.3372 | −0.808204 | |||||||||
1.27708 | − | 5.59523i | 0.0483380 | − | 0.211783i | |||||
−18.4926 | + | 8.90557i | −0.699455 | + | 0.336840i | |||||
13.4460 | + | 6.47525i | 0.508211 | + | 0.244741i | |||||
4.60087 | − | 20.1577i | 0.173773 | − | 0.761347i | −0.810650 | − | 0.585530i | ||
0.984423 | − | 0.175817i | ||||||||
6.57116 | + | 28.7901i | 0.248013 | + | 1.08661i | |||||
−39.9487 | + | 19.2383i | −1.50669 | + | 0.725586i | |||||
0.870839 | − | 1.09200i | 0.0328210 | − | 0.0411562i | |||||
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5.83121 | + | 2.80816i | 0.219460 | + | 0.105687i | |||||
−2.39081 | − | 2.99798i | −0.0899156 | − | 0.112751i | |||||
−19.4367 | −0.730476 | |||||||||
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−0.109461 | − | 0.993991i | ||||||||
0.664596 | + | 2.91179i | 0.0249419 | + | 0.109277i | |||||
0.0699666 | + | 0.306544i | 0.00262395 | + | 0.0114963i | |||||
1.11740 | + | 1.40118i | 0.0418763 | + | 0.0525113i | |||||
−5.17722 | −0.193888 | |||||||||
−18.1239 | − | 22.7267i | −0.678272 | − | 0.850526i | |||||
−3.55803 | − | 1.71346i | −0.133063 | − | 0.0640796i | |||||
−11.4442 | + | 14.3506i | −0.427691 | + | 0.536307i | |||||
15.6038 | − | 19.5665i | 0.582733 | − | 0.730724i | |||||
−9.67769 | + | 4.66053i | −0.361168 | + | 0.173929i | |||||
2.24249 | + | 9.82501i | 0.0836309 | + | 0.366411i | 0.999375 | − | 0.0353512i | ||
−0.915744 | + | 0.401762i | ||||||||
0.00368129 | − | 0.0161288i | 0.000137194 | − | 0.000601084i | |||||
−5.11269 | − | 2.46214i | −0.190407 | − | 0.0916950i | |||||
−5.10552 | + | 2.45869i | −0.190008 | + | 0.0915029i | |||||
−3.56722 | + | 15.6290i | −0.132666 | + | 0.581250i | |||||
−9.89404 | −0.367709 | |||||||||
23.1568 | + | 10.9329i | 0.860023 | + | 0.406036i | |||||
15.7608 | 0.584937 | |||||||||
−4.98758 | + | 21.8520i | −0.184979 | + | 0.810447i | 0.794234 | + | 0.607612i | ||
−0.979213 | + | 0.202835i | ||||||||
16.1610 | − | 7.78272i | 0.598966 | − | 0.288447i | |||||
−24.0490 | − | 11.5814i | −0.890703 | − | 0.428940i | |||||
1.35170 | − | 5.92219i | 0.0500287 | − | 0.219190i | |||||
1.65283 | + | 7.24151i | 0.0611320 | + | 0.267837i | |||||
7.63646 | − | 3.67753i | 0.282252 | − | 0.135925i | |||||
2.46035 | − | 3.08518i | 0.0908749 | − | 0.113954i | −0.734315 | − | 0.678809i | ||
0.825190 | + | 0.564855i | ||||||||
11.8085 | − | 14.8074i | 0.435859 | − | 0.546550i | |||||
−2.21203 | − | 1.06526i | −0.0815918 | − | 0.0392925i | |||||
−0.507277 | − | 0.636105i | −0.0186985 | − | 0.0234472i | |||||
9.97032 | 0.367261 | |||||||||
−0.0836580 | − | 0.104904i | −0.00307949 | − | 0.00386156i | |||||
−1.38003 | − | 6.04632i | −0.0507653 | − | 0.222417i | 0.943182 | − | 0.332277i | ||
−0.993947 | + | 0.109860i | ||||||||
0.982763 | + | 4.30577i | 0.0361271 | + | 0.158283i | |||||
30.8250 | + | 38.6533i | 1.13239 | + | 1.41997i | |||||
13.3181 | 0.488922 | |||||||||
30.3589 | + | 38.0689i | 1.11376 | + | 1.39661i | 0.908490 | + | 0.417907i | ||
0.205271 | + | 0.978705i | ||||||||
9.98524 | + | 4.80864i | 0.366077 | + | 0.176293i | |||||
1.46222 | − | 1.83357i | 0.0535718 | − | 0.0671769i | |||||
1.51759 | − | 1.90300i | 0.0555629 | − | 0.0696737i | |||||
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−1.65283 | − | 7.24151i | −0.0604333 | − | 0.264776i | |||||
−2.89863 | + | 12.6997i | −0.105914 | + | 0.464038i | |||||
7.57282 | + | 3.64688i | 0.276520 | + | 0.133165i | |||||
−23.7677 | + | 11.4459i | −0.867296 | + | 0.417668i | −0.813968 | − | 0.580909i | ||
−0.0533277 | + | 0.998577i | ||||||||
2.29155 | − | 10.0400i | 0.0835644 | − | 0.366119i | |||||
−10.3037 | −0.375489 | |||||||||
27.6269 | − | 13.5675i | 1.00611 | − | 0.494100i | |||||
3.21264 | 0.116920 | |||||||||
−3.60827 | + | 15.8089i | −0.131232 | + | 0.574963i | |||||
−34.4086 | + | 16.5703i | −1.25060 | + | 0.602259i | −0.937673 | − | 0.347518i | ||
−0.312930 | + | 0.949776i | ||||||||
15.4439 | + | 7.43740i | 0.560949 | + | 0.270139i | |||||
−0.440416 | + | 1.92959i | −0.0159861 | + | 0.0700396i | |||||
0.546722 | + | 2.39535i | 0.0198317 | + | 0.0868884i | |||||
−5.62055 | + | 2.70672i | −0.203745 | + | 0.0981183i | −0.532974 | − | 0.846132i | ||
0.329229 | + | 0.944250i | ||||||||
13.7834 | − | 17.2839i | 0.499320 | − | 0.626128i | |||||
28.3820 | − | 35.5898i | 1.02750 | − | 1.28844i | |||||
−0.382244 | − | 0.184079i | −0.0138291 | − | 0.00665975i | |||||
−0.0548537 | − | 0.0687844i | −0.00198324 | − | 0.00248691i | |||||
−23.7774 | −0.859111 | |||||||||
−39.7681 | − | 49.8676i | −1.43594 | − | 1.80061i | |||||
0.387560 | + | 1.69801i | 0.0139849 | + | 0.0612717i | |||||
6.26532 | + | 27.4502i | 0.225933 | + | 0.989879i | 0.952919 | + | 0.303226i | ||
−0.726985 | + | 0.686653i | ||||||||
−1.35203 | − | 1.69539i | −0.0487237 | − | 0.0610976i | |||||
46.5398 | 1.67609 | |||||||||
−6.43739 | − | 8.07223i | −0.231687 | − | 0.290526i | |||||
−31.5991 | − | 15.2173i | −1.13654 | − | 0.547329i | −0.231576 | − | 0.972817i | ||
−0.904964 | + | 0.425488i | ||||||||
−0.0291223 | + | 0.0365183i | −0.00104678 | + | 0.00131262i | |||||
−18.8663 | + | 23.6575i | −0.677696 | + | 0.849804i | |||||
−3.42035 | + | 1.64715i | −0.122783 | + | 0.0591293i | |||||
10.8589 | + | 47.5757i | 0.389559 | + | 1.70677i | |||||
2.56505 | − | 11.2382i | 0.0919614 | − | 0.402909i | |||||
17.9537 | + | 8.64606i | 0.643259 | + | 0.309777i | |||||
4.43679 | − | 2.13664i | 0.158862 | − | 0.0765041i | |||||
−1.87640 | + | 8.22106i | −0.0671430 | + | 0.294173i | |||||
−4.32677 | −0.154725 | |||||||||
−5.98234 | + | 27.1733i | −0.213791 | + | 0.971094i | |||||
2.84952 | 0.101769 | |||||||||
0.722283 | − | 3.16453i | 0.0257794 | − | 0.112947i | |||||
−23.2179 | + | 11.1812i | −0.828157 | + | 0.398819i | |||||
24.5984 | + | 11.8459i | 0.876837 | + | 0.422262i | 0.817468 | − | 0.575974i | ||
0.0593688 | + | 0.998236i | ||||||||
5.97308 | − | 26.1698i | 0.212782 | − | 0.932259i | |||||
−9.05122 | − | 39.6560i | −0.322232 | − | 1.41179i | |||||
−4.19065 | + | 2.01811i | −0.149097 | + | 0.0718011i | |||||
32.6453 | − | 40.9359i | 1.16073 | − | 1.45551i | |||||
0.0291223 | − | 0.0365183i | 0.00103482 | − | 0.00129762i | |||||
25.0597 | + | 12.0681i | 0.889894 | + | 0.428551i | |||||
18.0708 | + | 22.6601i | 0.641309 | + | 0.804176i | |||||
3.65630 | 0.129676 | |||||||||
−4.24156 | − | 5.31875i | −0.150338 | − | 0.188518i | |||||
−9.11491 | − | 39.9350i | −0.322867 | − | 1.41457i | −0.832426 | − | 0.554136i | ||
0.509560 | − | 0.860435i | ||||||||
6.04090 | + | 26.4669i | 0.213846 | + | 0.936919i | |||||
−34.1457 | − | 42.8174i | −1.20799 | − | 1.51477i | |||||
−4.75527 | −0.168124 | |||||||||
0.0373678 | + | 0.0468577i | 0.00132033 | + | 0.00165564i | |||||
−9.30669 | − | 4.48187i | −0.328631 | − | 0.158260i | |||||
10.6932 | − | 13.4088i | 0.377355 | − | 0.473188i | |||||
−7.75171 | + | 9.72034i | −0.273382 | + | 0.342810i | |||||
−1.13808 | + | 0.548071i | −0.0401121 | + | 0.0193170i | |||||
8.09286 | + | 35.4572i | 0.285059 | + | 1.24892i | |||||
6.04953 | − | 26.5047i | 0.212953 | − | 0.933010i | |||||
1.10082 | + | 0.530129i | 0.0387268 | + | 0.0186499i | |||||
38.8637 | − | 18.7158i | 1.36638 | − | 0.658012i | 0.400327 | − | 0.916372i | ||
0.966049 | + | 0.258360i | ||||||||
−1.00165 | + | 4.38850i | −0.0351943 | + | 0.154196i | |||||
38.0001 | 1.33436 | 0.667182 | − | 0.744894i | ||||||
0.667182 | + | 0.744894i | ||||||||
16.9003 | − | 0.130153i | 0.593083 | − | 0.00456748i | |||||
−0.382611 | −0.0134187 | |||||||||
−2.77471 | + | 12.1568i | −0.0972534 | + | 0.426095i | |||||
2.52185 | − | 1.21446i | 0.0883366 | − | 0.0425407i | |||||
8.34499 | + | 4.01873i | 0.292133 | + | 0.140684i | |||||
1.54360 | − | 6.76296i | 0.0540037 | − | 0.236606i | |||||
−2.21669 | − | 9.71194i | −0.0775047 | − | 0.339570i | |||||
0.540451 | − | 0.260268i | 0.0188849 | − | 0.00909449i | |||||
1.23754 | − | 1.55183i | 0.0432168 | − | 0.0541921i | |||||
−7.61753 | + | 9.55208i | −0.265854 | + | 0.333370i | −0.896783 | − | 0.442470i | ||
0.630930 | + | 0.775840i | ||||||||
−2.36831 | − | 1.14052i | −0.0826045 | − | 0.0397802i | |||||
22.8365 | + | 28.6361i | 0.796030 | + | 0.998190i | 0.999816 | + | 0.0191747i | ||
−0.203786 | + | 0.979015i | ||||||||
1.80814 | 0.0629896 | |||||||||
7.21242 | + | 9.04409i | 0.251104 | + | 0.314875i | |||||
−7.79351 | − | 34.1456i | −0.271171 | − | 1.18808i | |||||
5.74425 | + | 25.1672i | 0.199747 | + | 0.875149i | 0.971087 | + | 0.238726i | ||
−0.771340 | + | 0.636423i | ||||||||
−0.0169642 | − | 0.0212725i | −0.000589547 | − | 0.000739269i | |||||
−15.7732 | −0.547825 | −0.273913 | − | 0.961755i | ||||||
−0.273913 | + | 0.961755i | ||||||||
−3.92009 | − | 4.91563i | −0.136068 | − | 0.170624i | |||||
5.88750 | + | 2.83527i | 0.204235 | + | 0.0983544i | |||||
−3.56353 | + | 4.46852i | −0.123543 | + | 0.154918i | |||||
9.44821 | − | 11.8477i | 0.327361 | − | 0.410498i | |||||
13.7405 | − | 6.61707i | 0.475795 | − | 0.229131i | |||||
−1.33078 | − | 5.83052i | −0.0460535 | − | 0.201773i | |||||
−1.54360 | + | 6.76296i | −0.0533865 | + | 0.233902i | |||||
−29.6218 | − | 14.2651i | −1.02388 | − | 0.493074i | |||||
−25.5445 | + | 12.3016i | −0.882420 | + | 0.424951i | |||||
−0.479893 | + | 2.10255i | −0.0165677 | + | 0.0725880i | −0.982536 | − | 0.186073i | ||
0.965968 | + | 0.258661i | ||||||||
2.70406 | 0.0932988 | |||||||||
28.9966 | − | 0.446646i | 0.999881 | − | 0.0154016i | |||||
−9.51999 | −0.328080 | |||||||||
−9.47627 | + | 41.5183i | −0.326380 | + | 1.42996i | |||||
−5.26221 | + | 2.53415i | −0.181133 | + | 0.0872289i | |||||
8.76546 | + | 4.22123i | 0.301541 | + | 0.145215i | |||||
0.0766335 | − | 0.335753i | 0.00263471 | − | 0.0115434i | |||||
6.31957 | + | 27.6879i | 0.217143 | + | 0.951366i | |||||
−3.82334 | + | 1.84123i | −0.131294 | + | 0.0632279i | |||||
−8.25027 | + | 10.3455i | −0.283149 | + | 0.355057i | |||||
−15.7671 | + | 19.7714i | −0.540808 | + | 0.678152i | |||||
6.54430 | + | 3.15157i | 0.224336 | + | 0.108034i | |||||
−6.55608 | − | 8.22106i | −0.224607 | − | 0.281649i | |||||
−21.6578 | −0.741548 | −0.370774 | − | 0.928723i | ||||||
−0.370774 | + | 0.928723i | ||||||||
9.52251 | + | 11.9409i | 0.325854 | + | 0.408608i | |||||
0.0182833 | + | 0.0801045i | 0.000625277 | + | 0.00273952i | |||||
−0.923602 | − | 4.04656i | −0.0315681 | − | 0.138309i | |||||
−7.86892 | − | 9.86732i | −0.268797 | − | 0.337061i | 0.629053 | − | 0.777363i | ||
−0.897850 | + | 0.440302i | ||||||||
13.9036 | 0.474661 | |||||||||
−12.1127 | − | 15.1888i | −0.413280 | − | 0.518236i | 0.531004 | − | 0.847369i | ||
−0.944284 | + | 0.329133i | ||||||||
−0.622528 | − | 0.299794i | −0.0212280 | − | 0.0102229i | |||||
13.6740 | − | 17.1466i | 0.466007 | − | 0.584355i | |||||
−11.8307 | + | 14.8352i | −0.402954 | + | 0.505289i | |||||
41.3801 | − | 19.9276i | 1.40860 | − | 0.678344i | 0.433711 | − | 0.901052i | ||
0.974885 | + | 0.222708i | ||||||||
−1.14972 | − | 5.03725i | −0.0391142 | − | 0.171371i | |||||
1.28139 | − | 5.61414i | 0.0435686 | − | 0.190886i | |||||
−25.5107 | − | 12.2853i | −0.866890 | − | 0.417472i | |||||
17.7022 | − | 8.52495i | 0.601200 | − | 0.289523i | |||||
−4.44385 | + | 19.4698i | −0.150834 | + | 0.660847i | |||||
−13.1323 | −0.445482 | |||||||||
4.63975 | − | 0.0357318i | 0.157302 | − | 0.00121142i | |||||
−40.7992 | −1.38243 | |||||||||
−3.22757 | + | 14.1409i | −0.109299 | + | 0.478872i | |||||
−0.114382 | + | 0.0550836i | −0.00387125 | + | 0.00186430i | |||||
3.64067 | + | 1.75325i | 0.123147 | + | 0.0593047i | |||||
−3.37022 | + | 14.7659i | −0.113934 | + | 0.499179i | |||||
4.75892 | + | 20.8502i | 0.160789 | + | 0.704463i | |||||
−7.29358 | + | 3.51240i | −0.246287 | + | 0.118605i | −0.552955 | − | 0.833211i | ||
0.306669 | + | 0.951816i | ||||||||
−12.4049 | + | 15.5552i | −0.418644 | + | 0.524962i | |||||
27.9323 | − | 35.0260i | 0.942134 | − | 1.18140i | |||||
0.622528 | + | 0.299794i | 0.0209854 | + | 0.0101060i | |||||
1.87163 | + | 2.34695i | 0.0630569 | + | 0.0790709i | 0.812360 | − | 0.583157i | ||
−0.749303 | + | 0.662228i | ||||||||
0.0952930 | 0.00320868 | |||||||||
−24.0764 | − | 30.1908i | −0.810235 | − | 1.01600i | −0.999420 | − | 0.0340614i | ||
0.189184 | − | 0.981942i | ||||||||
6.76347 | + | 29.6327i | 0.227480 | + | 0.996655i | |||||
−2.13961 | − | 9.37422i | −0.0719221 | − | 0.315111i | |||||
−22.1713 | − | 27.8019i | −0.744859 | − | 0.934023i | |||||
−29.4281 | −0.988100 | −0.494050 | − | 0.869433i | ||||||
−0.494050 | + | 0.869433i | ||||||||
−9.69471 | − | 12.1568i | −0.325333 | − | 0.407955i | |||||
35.8903 | + | 17.2839i | 1.20372 | + | 0.579682i | |||||
−0.552776 | + | 0.693159i | −0.0185291 | + | 0.0232347i | |||||
−7.92394 | + | 9.93631i | −0.265462 | + | 0.332879i | |||||
19.7637 | − | 9.51770i | 0.661738 | − | 0.318676i | |||||
11.3811 | + | 49.8640i | 0.380855 | + | 1.66864i | |||||
−1.83731 | + | 8.04979i | −0.0614489 | + | 0.269225i | |||||
−8.18101 | − | 3.93977i | −0.273461 | − | 0.131692i | |||||
−2.82760 | + | 1.36170i | −0.0944634 | + | 0.0454912i | |||||
1.80221 | − | 7.89599i | 0.0601740 | − | 0.263640i | |||||
10.8511 | 0.362106 | |||||||||
−7.36769 | + | 33.4659i | −0.245726 | + | 1.11615i | |||||
−0.159025 | −0.00530082 | |||||||||
−5.02172 | + | 22.0016i | −0.167298 | + | 0.732979i | |||||
5.04903 | − | 2.43148i | 0.168114 | − | 0.0809596i | |||||
−6.87850 | − | 3.31251i | −0.228902 | − | 0.110233i | |||||
−3.71240 | + | 16.2651i | −0.123473 | + | 0.540969i | |||||
−1.08914 | − | 4.77185i | −0.0362043 | − | 0.158622i | |||||
−10.1906 | + | 4.90754i | −0.338560 | + | 0.163042i | |||||
2.90939 | − | 3.64825i | 0.0966046 | − | 0.121138i | −0.731179 | − | 0.682185i | ||
0.827784 | + | 0.561047i | ||||||||
−1.34388 | + | 1.68518i | −0.0445983 | + | 0.0559245i | |||||
0.0368134 | + | 0.0177284i | 0.00122102 | + | 0.000588014i | |||||
5.53258 | + | 6.93764i | 0.183403 | + | 0.229981i | |||||
−37.9571 | −1.25758 | −0.628788 | − | 0.777577i | ||||||
−0.628788 | + | 0.777577i | ||||||||
−5.39328 | − | 6.76296i | −0.178589 | − | 0.223944i | |||||
−3.95007 | − | 17.3064i | −0.130728 | − | 0.572758i | |||||
−7.19540 | − | 31.5251i | −0.238003 | − | 1.04276i | |||||
2.61428 | + | 3.27820i | 0.0864255 | + | 0.108374i | |||||
9.29190 | 0.307013 | |||||||||
−28.9523 | − | 36.3050i | −0.956089 | − | 1.19890i | |||||
−24.7559 | − | 11.9218i | −0.817066 | − | 0.393478i | |||||
15.8113 | − | 19.8268i | 0.521568 | − | 0.654026i | −0.449373 | − | 0.893344i | ||
0.970941 | + | 0.239318i | ||||||||
0.250949 | − | 0.314680i | 0.00827355 | − | 0.0103747i | |||||
2.84651 | − | 1.37081i | 0.0937956 | − | 0.0451696i | |||||
−5.65307 | − | 24.7677i | −0.186174 | − | 0.815682i | |||||
7.67836 | − | 33.6411i | 0.252736 | − | 1.10731i | |||||
6.87850 | + | 3.31251i | 0.226286 | + | 0.108974i | |||||
38.2492 | − | 18.4199i | 1.25763 | − | 0.605641i | |||||
−0.716678 | + | 3.13997i | −0.0235515 | + | 0.103186i | |||||
0.0604674 | 0.00198601 | |||||||||
−4.83373 | + | 2.37383i | −0.158675 | + | 0.0779248i | |||||
36.8642 | 1.20947 | 0.604737 | − | 0.796425i | ||||||
0.604737 | + | 0.796425i | ||||||||
−1.22000 | + | 5.34517i | −0.0400054 | + | 0.175275i | |||||
−12.7508 | + | 6.14046i | −0.417891 | + | 0.201246i | |||||
10.6177 | + | 5.11321i | 0.347794 | + | 0.167489i | |||||
7.52255 | − | 32.9584i | 0.246277 | − | 1.07901i | |||||
−5.08605 | − | 22.2834i | −0.166421 | − | 0.729136i | |||||
3.31060 | − | 1.59430i | 0.108268 | − | 0.0521392i | |||||
−0.119170 | + | 0.149435i | −0.00389521 | + | 0.00488444i | |||||
−1.45551 | + | 1.82515i | −0.0475493 | + | 0.0596249i | −0.805038 | − | 0.593224i | ||
0.757488 | + | 0.652849i | ||||||||
−20.1845 | − | 9.72034i | −0.659047 | − | 0.317380i | |||||
−36.7960 | − | 46.1408i | −1.20079 | − | 1.50575i | |||||
5.09448 | 0.166164 | |||||||||
5.47972 | + | 6.87136i | 0.178634 | + | 0.224000i | 0.863085 | − | 0.505059i | ||
−0.684451 | + | 0.729059i | ||||||||
2.54293 | + | 11.1413i | 0.0828532 | + | 0.363003i | |||||
−0.726401 | − | 3.18257i | −0.0236549 | − | 0.103639i | |||||
6.95799 | + | 8.72505i | 0.226463 | + | 0.283976i | |||||
−8.02174 | −0.260947 | |||||||||
−1.21632 | − | 1.52521i | −0.0395458 | − | 0.0495889i | |||||
11.4402 | + | 5.50930i | 0.371756 | + | 0.179028i | 0.610428 | − | 0.792072i | ||
−0.238672 | + | 0.971100i | ||||||||
10.2101 | − | 12.8030i | 0.331607 | − | 0.415822i | |||||
−43.7572 | + | 54.8698i | −1.42042 | + | 1.78115i | |||||
21.2785 | − | 10.2472i | 0.690365 | − | 0.332462i | |||||
2.13065 | + | 9.33500i | 0.0690911 | + | 0.302708i | |||||
−3.71387 | + | 16.2715i | −0.120367 | + | 0.527363i | |||||
−49.0633 | − | 23.6277i | −1.58932 | − | 0.765375i | −0.590195 | − | 0.807261i | ||
−0.999122 | + | 0.0418854i | ||||||||
−0.127859 | + | 0.0615737i | −0.00413959 | + | 0.00199352i | |||||
0.0467028 | − | 0.204618i | 0.00151127 | − | 0.00662129i | |||||
−14.3692 | −0.464732 | |||||||||
11.8462 | + | 5.59287i | 0.382934 | + | 0.180792i | |||||
2.14546 | 0.0693165 | |||||||||
1.05400 | − | 4.61787i | 0.0340354 | − | 0.149119i | |||||
−0.776279 | + | 0.373836i | −0.0250543 | + | 0.0120655i | |||||
−8.55134 | − | 4.11811i | −0.275850 | − | 0.132842i | |||||
11.3543 | − | 49.7463i | 0.366076 | − | 1.60388i | |||||
−0.0308868 | − | 0.135324i | −0.000995314 | − | 0.00436076i | |||||
8.29280 | − | 3.99360i | 0.267093 | − | 0.128625i | |||||
3.18457 | − | 3.99332i | 0.102515 | − | 0.128549i | |||||
2.77281 | − | 3.47700i | 0.0892138 | − | 0.111871i | |||||
−44.6567 | − | 21.5055i | −1.43606 | − | 0.691572i | −0.455949 | − | 0.890006i | ||
−0.980114 | + | 0.198434i | ||||||||
−5.64207 | − | 7.07493i | −0.181343 | − | 0.227397i | |||||
−46.0014 | −1.47778 | |||||||||
−1.17093 | − | 1.46830i | −0.0375962 | − | 0.0471442i | |||||
6.13766 | + | 26.8909i | 0.196967 | + | 0.862969i | 0.972729 | + | 0.231944i | ||
−0.775762 | + | 0.631025i | ||||||||
−0.0773306 | − | 0.338807i | −0.00248038 | − | 0.0108672i | |||||
17.1341 | + | 21.4855i | 0.549295 | + | 0.688794i | |||||
21.7759 | 0.697746 | |||||||||
−29.5137 | − | 37.0090i | −0.945194 | − | 1.18524i | |||||
−4.38454 | − | 2.11149i | −0.140346 | − | 0.0675870i | |||||
−27.7654 | + | 34.8167i | −0.888294 | + | 1.11389i | 0.104556 | + | 0.994519i | ||
−0.992850 | + | 0.119367i | ||||||||
−6.14422 | + | 7.70461i | −0.196470 | + | 0.246366i | |||||
−2.25527 | + | 1.08608i | −0.0720786 | + | 0.0347112i | |||||
0.313678 | + | 1.37431i | 0.0100201 | + | 0.0439008i | |||||
−0.107936 | + | 0.472897i | −0.00344612 | + | 0.0150984i | |||||
35.0145 | + | 16.8621i | 1.11736 | + | 0.538091i | |||||
1.07817 | − | 0.519217i | 0.0343882 | − | 0.0165605i | −0.416611 | − | 0.909085i | ||
0.450999 | + | 0.892525i | ||||||||
−1.55499 | + | 6.81287i | −0.0495713 | + | 0.217186i | |||||
13.2791 | 0.423106 | |||||||||
−6.15741 | + | 27.9685i | −0.196092 | + | 0.890699i | |||||
56.2904 | 1.79174 | |||||||||
6.31651 | − | 27.6744i | 0.200955 | − | 0.880441i | |||||
−1.02384 | + | 0.493058i | −0.0325564 | + | 0.0156783i | |||||
0.0208184 | + | 0.0100256i | 0.000661652 | + | 0.000318635i | |||||
−7.79435 | + | 34.1493i | −0.247596 | + | 1.08479i | 0.686321 | + | 0.727298i | ||
−0.933917 | + | 0.357490i | ||||||||
−1.41596 | − | 6.20373i | −0.0449568 | − | 0.196969i | |||||
−21.4137 | + | 10.3123i | −0.679544 | + | 0.327251i | |||||
11.8136 | − | 14.8138i | 0.374706 | − | 0.469866i | |||||
2.09829 | − | 2.63118i | 0.0665204 | − | 0.0834139i | |||||
19.9436 | + | 9.60433i | 0.631937 | + | 0.304325i | |||||
19.4359 | + | 24.3719i | 0.615543 | + | 0.771866i | 0.987710 | − | 0.156300i | ||
−0.372167 | + | 0.928166i | ||||||||
39.2992 | 1.24400 | |||||||||
28.7599 | + | 36.0638i | 0.909924 | + | 1.14101i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 58.2.d.b.25.2 | yes | 12 | |
3.2 | odd | 2 | 522.2.k.h.199.1 | 12 | |||
4.3 | odd | 2 | 464.2.u.h.257.1 | 12 | |||
29.6 | even | 14 | 1682.2.a.q.1.5 | 6 | |||
29.7 | even | 7 | inner | 58.2.d.b.7.2 | ✓ | 12 | |
29.14 | odd | 28 | 1682.2.b.i.1681.5 | 12 | |||
29.15 | odd | 28 | 1682.2.b.i.1681.8 | 12 | |||
29.23 | even | 7 | 1682.2.a.t.1.2 | 6 | |||
87.65 | odd | 14 | 522.2.k.h.181.1 | 12 | |||
116.7 | odd | 14 | 464.2.u.h.65.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
58.2.d.b.7.2 | ✓ | 12 | 29.7 | even | 7 | inner | |
58.2.d.b.25.2 | yes | 12 | 1.1 | even | 1 | trivial | |
464.2.u.h.65.1 | 12 | 116.7 | odd | 14 | |||
464.2.u.h.257.1 | 12 | 4.3 | odd | 2 | |||
522.2.k.h.181.1 | 12 | 87.65 | odd | 14 | |||
522.2.k.h.199.1 | 12 | 3.2 | odd | 2 | |||
1682.2.a.q.1.5 | 6 | 29.6 | even | 14 | |||
1682.2.a.t.1.2 | 6 | 29.23 | even | 7 | |||
1682.2.b.i.1681.5 | 12 | 29.14 | odd | 28 | |||
1682.2.b.i.1681.8 | 12 | 29.15 | odd | 28 |