Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [135,3,Mod(37,135)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(135, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("135.37");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 135.l (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: | no (minimal twist has level 45) |
Sato-Tate group: |
Embedding invariants
Embedding label | 37.10 | ||
Character | 135.37 | ||
Dual form | 135.3.l.a.73.10 |
-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 .
0.930497 | − | 3.47266i | 0.465249 | − | 1.73633i | −0.190815 | − | 0.981626i | ||
0.656063 | − | 0.754706i | ||||||||
0 | 0 | |||||||||
−7.72947 | − | 4.46261i | −1.93237 | − | 1.11565i | |||||
−4.99913 | + | 0.0933744i | −0.999826 | + | 0.0186749i | |||||
0 | 0 | |||||||||
1.28323 | − | 4.78910i | 0.183319 | − | 0.684157i | −0.811665 | − | 0.584123i | ||
0.994984 | − | 0.100033i | ||||||||
−12.5207 | + | 12.5207i | −1.56509 | + | 1.56509i | |||||
0 | 0 | |||||||||
−4.32742 | + | 17.4472i | −0.432742 | + | 1.74472i | |||||
−1.37764 | − | 2.38615i | −0.125240 | − | 0.216923i | 0.796587 | − | 0.604525i | ||
−0.921827 | + | 0.387602i | ||||||||
0 | 0 | |||||||||
2.45318 | + | 9.15539i | 0.188706 | + | 0.704261i | 0.993807 | + | 0.111123i | ||
−0.805101 | + | 0.593138i | ||||||||
−15.4369 | − | 8.91249i | −1.10263 | − | 0.636606i | |||||
0 | 0 | |||||||||
13.9793 | + | 24.2129i | 0.873708 | + | 1.51331i | |||||
−9.17504 | − | 9.17504i | −0.539708 | − | 0.539708i | 0.383735 | − | 0.923443i | ||
−0.923443 | + | 0.383735i | ||||||||
0 | 0 | |||||||||
− | 32.1912i | − | 1.69427i | −0.531375 | − | 0.847137i | ||||
0.531375 | − | 0.847137i | ||||||||
39.0573 | + | 21.5874i | 1.95286 | + | 1.07937i | |||||
0 | 0 | |||||||||
−9.56819 | + | 2.56379i | −0.434918 | + | 0.116536i | |||||
−0.179412 | − | 0.669573i | −0.00780050 | − | 0.0291119i | 0.961916 | − | 0.273346i | ||
−0.969716 | + | 0.244234i | ||||||||
0 | 0 | |||||||||
24.9826 | − | 0.933581i | 0.999302 | − | 0.0373432i | |||||
34.0763 | 1.31063 | |||||||||
0 | 0 | |||||||||
−31.2906 | + | 31.2906i | −1.11752 | + | 1.11752i | |||||
30.1349 | − | 17.3984i | 1.03913 | − | 0.599944i | 0.119546 | − | 0.992829i | ||
0.919588 | + | 0.392884i | ||||||||
0 | 0 | |||||||||
12.8482 | − | 22.2537i | 0.414457 | − | 0.717860i | −0.580914 | − | 0.813965i | ||
0.995371 | + | 0.0961042i | ||||||||
28.6765 | − | 7.68384i | 0.896140 | − | 0.240120i | |||||
0 | 0 | |||||||||
−40.3992 | + | 23.3245i | −1.18821 | + | 0.686014i | |||||
−5.96788 | + | 24.0611i | −0.170511 | + | 0.687461i | |||||
0 | 0 | |||||||||
−13.0331 | − | 13.0331i | −0.352245 | − | 0.352245i | 0.508699 | − | 0.860944i | ||
−0.860944 | + | 0.508699i | ||||||||
−111.789 | − | 29.9538i | −2.94182 | − | 0.788259i | |||||
0 | 0 | |||||||||
61.4236 | − | 63.7618i | 1.53559 | − | 1.59405i | |||||
−20.2139 | + | 35.0116i | −0.493023 | + | 0.853941i | −0.999968 | − | 0.00803768i | ||
0.506945 | + | 0.861979i | ||||||||
0 | 0 | |||||||||
3.68527 | + | 0.987466i | 0.0857040 | + | 0.0229643i | 0.301416 | − | 0.953493i | ||
−0.215712 | + | 0.976457i | ||||||||
24.5915i | 0.558899i | |||||||||
0 | 0 | |||||||||
−2.49214 | −0.0541770 | |||||||||
−0.993231 | + | 3.70679i | −0.0211326 | + | 0.0788679i | −0.975687 | − | 0.219169i | ||
0.954554 | + | 0.298037i | ||||||||
0 | 0 | |||||||||
21.1465 | + | 12.2089i | 0.431561 | + | 0.249162i | |||||
20.0042 | − | 87.6247i | 0.400084 | − | 1.75249i | |||||
0 | 0 | |||||||||
21.8952 | − | 81.7139i | 0.421061 | − | 1.57142i | |||||
31.2240 | − | 31.2240i | 0.589132 | − | 0.589132i | −0.348265 | − | 0.937396i | ||
0.937396 | + | 0.348265i | ||||||||
0 | 0 | |||||||||
7.10982 | + | 11.8000i | 0.129269 | + | 0.214546i | |||||
43.8959 | + | 76.0300i | 0.783856 | + | 1.35768i | |||||
0 | 0 | |||||||||
−32.3783 | − | 120.837i | −0.558247 | − | 2.08340i | |||||
36.8611 | + | 21.2818i | 0.624765 | + | 0.360708i | 0.778722 | − | 0.627369i | ||
−0.153957 | + | 0.988078i | ||||||||
0 | 0 | |||||||||
−6.56994 | − | 11.3795i | −0.107704 | − | 0.186549i | 0.807136 | − | 0.590366i | ||
−0.914840 | + | 0.403817i | ||||||||
−65.3243 | − | 65.3243i | −1.05362 | − | 1.05362i | |||||
0 | 0 | |||||||||
5.10100i | 0.0797032i | |||||||||
−13.1186 | − | 45.5399i | −0.201825 | − | 0.700614i | |||||
0 | 0 | |||||||||
−44.9977 | + | 12.0571i | −0.671607 | + | 0.179957i | −0.578479 | − | 0.815697i | ||
−0.0931285 | + | 0.995654i | ||||||||
29.9735 | + | 111.863i | 0.440787 | + | 1.64504i | |||||
0 | 0 | |||||||||
78.0031 | + | 43.1133i | 1.11433 | + | 0.615904i | |||||
114.062 | 1.60651 | 0.803254 | − | 0.595637i | ||||||
0.803254 | + | 0.595637i | ||||||||
0 | 0 | |||||||||
−18.7982 | + | 18.7982i | −0.257510 | + | 0.257510i | −0.824041 | − | 0.566531i | ||
0.566531 | + | 0.824041i | ||||||||
−57.3867 | + | 33.1322i | −0.775496 | + | 0.447733i | |||||
0 | 0 | |||||||||
−143.657 | + | 248.821i | −1.89022 | + | 3.27396i | |||||
−13.1953 | + | 3.53568i | −0.171368 | + | 0.0459179i | |||||
0 | 0 | |||||||||
−18.3057 | + | 10.5688i | −0.231717 | + | 0.133782i | −0.611364 | − | 0.791350i | ||
0.379647 | + | 0.925132i | ||||||||
−72.1453 | − | 119.738i | −0.901816 | − | 1.49673i | |||||
0 | 0 | |||||||||
102.774 | + | 102.774i | 1.25335 | + | 1.25335i | |||||
14.7688 | + | 3.95730i | 0.177938 | + | 0.0476783i | 0.346688 | − | 0.937981i | ||
−0.168750 | + | 0.985659i | ||||||||
0 | 0 | |||||||||
46.7239 | + | 45.0105i | 0.549693 | + | 0.529535i | |||||
6.85828 | − | 11.8789i | 0.0797474 | − | 0.138127i | |||||
0 | 0 | |||||||||
47.1254 | + | 12.6272i | 0.535516 | + | 0.143491i | |||||
92.4405i | 1.03866i | 0.854575 | + | 0.519329i | ||||||
−0.854575 | + | 0.519329i | ||||||||
0 | 0 | |||||||||
46.9941 | 0.516418 | |||||||||
−1.60129 | + | 5.97609i | −0.0174053 | + | 0.0649574i | |||||
0 | 0 | |||||||||
11.9482 | + | 6.89832i | 0.127109 | + | 0.0733864i | |||||
3.00583 | + | 160.928i | 0.0316404 | + | 1.69398i | |||||
0 | 0 | |||||||||
−40.7091 | + | 151.928i | −0.419681 | + | 1.56627i | 0.355590 | + | 0.934642i | ||
−0.775271 | + | 0.631629i | ||||||||
62.0742 | − | 62.0742i | 0.633411 | − | 0.633411i | |||||
0 | 0 | |||||||||
−197.268 | − | 104.271i | −1.97268 | − | 1.04271i | |||||
−41.2983 | − | 71.5307i | −0.408894 | − | 0.708225i | 0.585872 | − | 0.810404i | ||
−0.994766 | + | 0.102178i | ||||||||
0 | 0 | |||||||||
−12.9609 | − | 48.3706i | −0.125834 | − | 0.469617i | 0.874034 | − | 0.485864i | ||
−0.999868 | + | 0.0162466i | ||||||||
−145.348 | − | 83.9166i | −1.39757 | − | 0.806890i | |||||
0 | 0 | |||||||||
−79.3765 | − | 137.484i | −0.748835 | − | 1.29702i | |||||
57.4669 | + | 57.4669i | 0.537074 | + | 0.537074i | 0.922668 | − | 0.385595i | ||
−0.385595 | + | 0.922668i | ||||||||
0 | 0 | |||||||||
− | 145.852i | − | 1.33809i | −0.743220 | − | 0.669047i | ||||
0.743220 | − | 0.669047i | ||||||||
47.5932 | − | 13.7101i | 0.432665 | − | 0.124638i | |||||
0 | 0 | |||||||||
133.897 | − | 35.8775i | 1.19551 | − | 0.320335i | |||||
−14.0319 | − | 52.3679i | −0.124176 | − | 0.463432i | 0.875633 | − | 0.482978i | ||
−0.999809 | + | 0.0195453i | ||||||||
0 | 0 | |||||||||
0.959422 | + | 3.33053i | 0.00834280 | + | 0.0289611i | |||||
−310.569 | −2.67732 | |||||||||
0 | 0 | |||||||||
108.204 | − | 108.204i | 0.916980 | − | 0.916980i | |||||
−55.7139 | + | 32.1664i | −0.468184 | + | 0.270306i | |||||
0 | 0 | |||||||||
56.7042 | − | 98.2145i | 0.468630 | − | 0.811690i | |||||
−45.6304 | + | 12.2266i | −0.374019 | + | 0.100218i | |||||
0 | 0 | |||||||||
−198.619 | + | 114.673i | −1.60177 | + | 0.924780i | |||||
−124.804 | + | 6.99982i | −0.998431 | + | 0.0559986i | |||||
0 | 0 | |||||||||
50.4054 | + | 50.4054i | 0.396893 | + | 0.396893i | 0.877136 | − | 0.480243i | ||
−0.480243 | + | 0.877136i | ||||||||
132.420 | + | 35.4818i | 1.03453 | + | 0.277202i | |||||
0 | 0 | |||||||||
−170.352 | + | 3.18185i | −1.31040 | + | 0.0244758i | |||||
89.6936 | − | 155.354i | 0.684684 | − | 1.18591i | −0.288852 | − | 0.957374i | ||
0.973536 | − | 0.228534i | ||||||||
0 | 0 | |||||||||
−154.167 | − | 41.3089i | −1.15915 | − | 0.310593i | |||||
167.481i | 1.24986i | |||||||||
0 | 0 | |||||||||
229.756 | 1.68938 | |||||||||
36.5154 | − | 136.277i | 0.266536 | − | 0.994725i | −0.694768 | − | 0.719234i | ||
0.961304 | − | 0.275491i | ||||||||
0 | 0 | |||||||||
236.063 | + | 136.291i | 1.69829 | + | 0.980510i | 0.947381 | + | 0.320108i | ||
0.750912 | + | 0.660402i | ||||||||
153.504 | − | 159.347i | 1.09646 | − | 1.13820i | |||||
0 | 0 | |||||||||
106.134 | − | 396.099i | 0.747426 | − | 2.78943i | |||||
18.4665 | − | 18.4665i | 0.129137 | − | 0.129137i | |||||
0 | 0 | |||||||||
−149.024 | + | 89.7906i | −1.02775 | + | 0.619245i | |||||
47.7882 | + | 82.7716i | 0.327317 | + | 0.566929i | |||||
0 | 0 | |||||||||
42.5772 | + | 158.900i | 0.287684 | + | 1.07365i | |||||
−174.004 | − | 100.461i | −1.16781 | − | 0.674235i | −0.214646 | − | 0.976692i | ||
−0.953163 | + | 0.302457i | ||||||||
0 | 0 | |||||||||
58.6560 | + | 101.595i | 0.388450 | + | 0.672816i | 0.992241 | − | 0.124327i | ||
−0.603791 | + | 0.797143i | ||||||||
403.057 | + | 403.057i | 2.65169 | + | 2.65169i | |||||
0 | 0 | |||||||||
49.1129i | 0.318915i | |||||||||
−62.1517 | + | 112.449i | −0.400979 | + | 0.725475i | |||||
0 | 0 | |||||||||
−205.058 | + | 54.9450i | −1.30610 | + | 0.349968i | −0.843753 | − | 0.536731i | ||
−0.462346 | + | 0.886700i | ||||||||
19.6684 | + | 73.4036i | 0.124484 | + | 0.464580i | |||||
0 | 0 | |||||||||
−142.640 | + | 41.0902i | −0.891500 | + | 0.256814i | |||||
−3.43688 | −0.0213471 | |||||||||
0 | 0 | |||||||||
61.1545 | − | 61.1545i | 0.375181 | − | 0.375181i | −0.494179 | − | 0.869360i | ||
0.869360 | + | 0.494179i | ||||||||
312.486 | − | 180.414i | 1.90540 | − | 1.10008i | |||||
0 | 0 | |||||||||
27.4847 | − | 47.6049i | 0.165571 | − | 0.286777i | |||||
−234.945 | + | 62.9533i | −1.40686 | + | 0.376966i | −0.880802 | − | 0.473486i | ||
−0.526054 | + | 0.850451i | ||||||||
0 | 0 | |||||||||
68.5552 | − | 39.5803i | 0.405652 | − | 0.234203i | |||||
199.783 | − | 120.374i | 1.17519 | − | 0.708084i | |||||
0 | 0 | |||||||||
−24.0785 | − | 24.0785i | −0.139991 | − | 0.139991i | |||||
16.3284 | + | 4.37517i | 0.0943835 | + | 0.0252900i | 0.305702 | − | 0.952127i | ||
−0.211318 | + | 0.977417i | ||||||||
0 | 0 | |||||||||
27.5875 | − | 120.842i | 0.157643 | − | 0.690525i | |||||
38.5171 | − | 66.7135i | 0.218847 | − | 0.379054i | |||||
0 | 0 | |||||||||
321.015 | + | 86.0157i | 1.80345 | + | 0.483234i | |||||
− | 274.512i | − | 1.53359i | −0.641895 | − | 0.766793i | ||||
0.641895 | − | 0.766793i | ||||||||
0 | 0 | |||||||||
−261.649 | −1.44557 | −0.722787 | − | 0.691070i | ||||||
−0.722787 | + | 0.691070i | ||||||||
43.7279 | − | 163.195i | 0.240263 | − | 0.896674i | |||||
0 | 0 | |||||||||
10.6299 | + | 6.13718i | 0.0577712 | + | 0.0333542i | |||||
66.3709 | + | 63.9370i | 0.358762 | + | 0.345606i | |||||
0 | 0 | |||||||||
−9.25307 | + | 34.5329i | −0.0494817 | + | 0.184668i | |||||
24.2191 | − | 24.2191i | 0.128825 | − | 0.128825i | |||||
0 | 0 | |||||||||
561.646 | + | 139.305i | 2.95603 | + | 0.733183i | |||||
89.7939 | + | 155.528i | 0.470125 | + | 0.814280i | 0.999416 | − | 0.0341597i | ||
−0.529291 | + | 0.848440i | ||||||||
0 | 0 | |||||||||
6.95596 | + | 25.9600i | 0.0360412 | + | 0.134508i | 0.981602 | − | 0.190937i | ||
−0.945561 | + | 0.325445i | ||||||||
489.716 | + | 282.738i | 2.52431 | + | 1.45741i | |||||
0 | 0 | |||||||||
−108.967 | − | 188.737i | −0.555956 | − | 0.962944i | |||||
−118.588 | − | 118.588i | −0.601967 | − | 0.601967i | 0.338867 | − | 0.940834i | ||
−0.940834 | + | 0.338867i | ||||||||
0 | 0 | |||||||||
− | 23.9129i | − | 0.120166i | −0.998193 | − | 0.0600828i | ||||
0.998193 | − | 0.0600828i | ||||||||
−301.111 | + | 324.489i | −1.50555 | + | 1.62244i | |||||
0 | 0 | |||||||||
−286.830 | + | 76.8559i | −1.41995 | + | 0.380475i | |||||
−44.6524 | − | 166.645i | −0.219963 | − | 0.820912i | |||||
0 | 0 | |||||||||
97.7829 | − | 176.915i | 0.476990 | − | 0.862999i | |||||
−180.035 | −0.873956 | |||||||||
0 | 0 | |||||||||
−187.385 | + | 187.385i | −0.900889 | + | 0.900889i | |||||
−76.8130 | + | 44.3480i | −0.367526 | + | 0.212191i | |||||
0 | 0 | |||||||||
68.1081 | − | 117.967i | 0.322787 | − | 0.559084i | −0.658275 | − | 0.752778i | ||
0.981062 | + | 0.193694i | ||||||||
−380.685 | + | 102.004i | −1.79568 | + | 0.481152i | |||||
0 | 0 | |||||||||
253.036 | − | 146.090i | 1.18241 | − | 0.682665i | |||||
−18.5154 | − | 4.59236i | −0.0861180 | − | 0.0213598i | |||||
0 | 0 | |||||||||
−90.0878 | − | 90.0878i | −0.415151 | − | 0.415151i | |||||
−506.496 | − | 135.715i | −2.32338 | − | 0.622547i | |||||
0 | 0 | |||||||||
−2.29622 | − | 122.936i | −0.0104374 | − | 0.558801i | |||||
61.4931 | − | 106.509i | 0.278249 | − | 0.481942i | |||||
0 | 0 | |||||||||
−387.566 | − | 103.848i | −1.73796 | − | 0.465686i | −0.755970 | − | 0.654606i | ||
−0.981992 | + | 0.188921i | ||||||||
− | 147.195i | − | 0.657119i | |||||||
0 | 0 | |||||||||
−194.913 | −0.862445 | |||||||||
−48.9929 | + | 182.844i | −0.215828 | + | 0.805480i | 0.770046 | + | 0.637988i | ||
−0.985874 | + | 0.167491i | ||||||||
0 | 0 | |||||||||
−128.197 | − | 74.0143i | −0.559810 | − | 0.323207i | 0.193259 | − | 0.981148i | ||
−0.753069 | + | 0.657941i | ||||||||
12.4585 | − | 0.232702i | 0.0541676 | − | 0.00101175i | |||||
0 | 0 | |||||||||
−159.470 | + | 595.151i | −0.687372 | + | 2.56531i | |||||
−191.869 | + | 191.869i | −0.823473 | + | 0.823473i | −0.986604 | − | 0.163131i | ||
0.163131 | + | 0.986604i | ||||||||
0 | 0 | |||||||||
4.61917 | − | 18.6235i | 0.0196561 | − | 0.0792488i | |||||
−189.945 | − | 328.994i | −0.804850 | − | 1.39404i | |||||
0 | 0 | |||||||||
59.8616 | + | 223.406i | 0.251519 | + | 0.938682i | |||||
113.709 | + | 65.6499i | 0.475770 | + | 0.274686i | 0.718652 | − | 0.695370i | ||
−0.242882 | + | 0.970056i | ||||||||
0 | 0 | |||||||||
106.787 | + | 184.961i | 0.443101 | + | 0.767473i | 0.997918 | − | 0.0644993i | ||
−0.554817 | + | 0.831972i | ||||||||
−288.303 | − | 288.303i | −1.19133 | − | 1.19133i | |||||
0 | 0 | |||||||||
117.276i | 0.480640i | |||||||||
−106.854 | − | 59.0594i | −0.436139 | − | 0.241059i | |||||
0 | 0 | |||||||||
294.723 | − | 78.9708i | 1.19321 | − | 0.319720i | |||||
117.764 | + | 439.501i | 0.474854 | + | 1.77218i | |||||
0 | 0 | |||||||||
−91.8216 | + | 439.915i | −0.367287 | + | 1.75966i | |||||
−48.4611 | −0.193072 | −0.0965360 | − | 0.995329i | ||||||
−0.0965360 | + | 0.995329i | ||||||||
0 | 0 | |||||||||
−1.35054 | + | 1.35054i | −0.00533809 | + | 0.00533809i | |||||
221.943 | − | 128.139i | 0.873792 | − | 0.504484i | |||||
0 | 0 | |||||||||
236.231 | − | 409.164i | 0.922777 | − | 1.59830i | |||||
450.204 | − | 120.632i | 1.75177 | − | 0.469385i | 0.766766 | − | 0.641927i | ||
0.985002 | + | 0.172542i | ||||||||
0 | 0 | |||||||||
−79.1411 | + | 45.6921i | −0.305564 | + | 0.176418i | |||||
−101.827 | + | 410.543i | −0.391641 | + | 1.57901i | |||||
0 | 0 | |||||||||
−456.032 | − | 456.032i | −1.74058 | − | 1.74058i | |||||
104.698 | + | 28.0536i | 0.398090 | + | 0.106668i | 0.452309 | − | 0.891861i | ||
−0.0542194 | + | 0.998529i | ||||||||
0 | 0 | |||||||||
−153.177 | + | 159.008i | −0.578027 | + | 0.600031i | |||||
−286.904 | + | 496.932i | −1.07859 | + | 1.86816i | |||||
0 | 0 | |||||||||
401.614 | + | 107.612i | 1.49856 | + | 0.401538i | |||||
− | 271.965i | − | 1.01102i | −0.862821 | − | 0.505510i | ||||
0.862821 | − | 0.505510i | ||||||||
0 | 0 | |||||||||
283.330 | 1.04550 | 0.522749 | − | 0.852487i | ||||||
0.522749 | + | 0.852487i | ||||||||
93.8935 | − | 350.415i | 0.345197 | − | 1.28829i | |||||
0 | 0 | |||||||||
−439.268 | − | 253.611i | −1.60317 | − | 0.925589i | |||||
−36.6447 | − | 58.3260i | −0.133254 | − | 0.212094i | |||||
0 | 0 | |||||||||
−38.5154 | + | 143.741i | −0.139045 | + | 0.518922i | 0.860904 | + | 0.508768i | ||
−0.999948 | + | 0.0101539i | ||||||||
692.948 | − | 692.948i | 2.49262 | − | 2.49262i | |||||
0 | 0 | |||||||||
−226.541 | − | 375.985i | −0.809074 | − | 1.34280i | |||||
126.241 | + | 218.657i | 0.449258 | + | 0.778137i | 0.998338 | − | 0.0576326i | ||
−0.549080 | + | 0.835770i | ||||||||
0 | 0 | |||||||||
124.137 | + | 463.286i | 0.438647 | + | 1.63705i | 0.732184 | + | 0.681107i | ||
−0.293537 | + | 0.955948i | ||||||||
−881.639 | − | 509.015i | −3.10436 | − | 1.79230i | |||||
0 | 0 | |||||||||
−46.9450 | − | 81.3111i | −0.164143 | − | 0.284304i | |||||
141.735 | + | 141.735i | 0.493849 | + | 0.493849i | |||||
0 | 0 | |||||||||
− | 120.637i | − | 0.417430i | |||||||
173.146 | + | 601.059i | 0.597056 | + | 2.07262i | |||||
0 | 0 | |||||||||
229.189 | − | 61.4111i | 0.784895 | − | 0.210312i | |||||
52.5299 | + | 196.044i | 0.179283 | + | 0.669093i | 0.995782 | + | 0.0917468i | ||
−0.816499 | + | 0.577346i | ||||||||
0 | 0 | |||||||||
−186.261 | − | 102.948i | −0.631392 | − | 0.348978i | |||||
326.367 | 1.10259 | |||||||||
0 | 0 | |||||||||
−510.777 | + | 510.777i | −1.71402 | + | 1.71402i | |||||
5.69008 | − | 3.28517i | 0.0190304 | − | 0.0109872i | |||||
0 | 0 | |||||||||
9.45814 | − | 16.3820i | 0.0314224 | − | 0.0544252i | |||||
407.385 | − | 109.159i | 1.34896 | − | 0.361452i | |||||
0 | 0 | |||||||||
779.443 | − | 450.011i | 2.56396 | − | 1.48030i | |||||
33.9065 | + | 56.2739i | 0.111169 | + | 0.184505i | |||||
0 | 0 | |||||||||
364.680 | + | 364.680i | 1.18788 | + | 1.18788i | 0.977652 | + | 0.210232i | ||
0.210232 | + | 0.977652i | ||||||||
117.771 | + | 31.5567i | 0.382374 | + | 0.102457i | |||||
0 | 0 | |||||||||
332.664 | + | 320.465i | 1.07311 | + | 1.03376i | |||||
102.480 | − | 177.501i | 0.329518 | − | 0.570743i | −0.652898 | − | 0.757446i | ||
0.982416 | + | 0.186703i | ||||||||
0 | 0 | |||||||||
343.429 | + | 92.0214i | 1.09722 | + | 0.293998i | 0.761631 | − | 0.648011i | ||
0.335586 | + | 0.942010i | ||||||||
763.222i | 2.43064i | |||||||||
0 | 0 | |||||||||
188.657 | 0.597017 | |||||||||
6.68768 | − | 24.9588i | 0.0210968 | − | 0.0787343i | −0.954575 | − | 0.297971i | ||
0.975672 | + | 0.219237i | ||||||||
0 | 0 | |||||||||
−83.0303 | − | 47.9375i | −0.260283 | − | 0.150274i | |||||
−0.476303 | − | 25.5006i | −0.00148845 | − | 0.0796893i | |||||
0 | 0 | |||||||||
−3.19801 | + | 11.9351i | −0.00993169 | + | 0.0370656i | |||||
−295.356 | + | 295.356i | −0.914414 | + | 0.914414i | |||||
0 | 0 | |||||||||
69.8340 | + | 226.435i | 0.214874 | + | 0.696723i | |||||
−155.465 | − | 269.273i | −0.476886 | − | 0.825992i | |||||
0 | 0 | |||||||||
−185.277 | − | 691.464i | −0.564869 | − | 2.10812i | |||||
16.4776 | + | 9.51337i | 0.0500840 | + | 0.0289160i | |||||
0 | 0 | |||||||||
96.8582 | + | 167.763i | 0.292623 | + | 0.506838i | 0.974429 | − | 0.224695i | ||
−0.681806 | + | 0.731533i | ||||||||
−96.4953 | − | 96.4953i | −0.290649 | − | 0.290649i | |||||
0 | 0 | |||||||||
874.462i | 2.61815i | |||||||||
223.823 | − | 64.4766i | 0.668129 | − | 0.192467i | |||||
0 | 0 | |||||||||
88.6729 | − | 23.7598i | 0.263124 | − | 0.0705039i | −0.124845 | − | 0.992176i | ||
0.387969 | + | 0.921672i | ||||||||
−73.6588 | − | 274.898i | −0.217925 | − | 0.813309i | |||||
0 | 0 | |||||||||
−160.287 | − | 556.418i | −0.471431 | − | 1.63652i | |||||
−70.8008 | −0.207627 | |||||||||
0 | 0 | |||||||||
257.393 | − | 257.393i | 0.750417 | − | 0.750417i | |||||
−58.5061 | + | 33.7785i | −0.170076 | + | 0.0981933i | |||||
0 | 0 | |||||||||
30.3870 | − | 52.6318i | 0.0878236 | − | 0.152115i | |||||
−5.84253 | + | 1.56550i | −0.0168372 | + | 0.00451153i | −0.267228 | − | 0.963633i | ||
0.250391 | + | 0.968145i | ||||||||
0 | 0 | |||||||||
67.8704 | − | 39.1850i | 0.194471 | − | 0.112278i | −0.399603 | − | 0.916688i | ||
0.594074 | + | 0.804410i | ||||||||
−393.973 | − | 208.245i | −1.12564 | − | 0.594986i | |||||
0 | 0 | |||||||||
−57.8408 | − | 57.8408i | −0.164320 | − | 0.164320i | |||||
−38.2322 | − | 10.2443i | −0.108307 | − | 0.0290207i | 0.204259 | − | 0.978917i | ||
−0.312565 | + | 0.949896i | ||||||||
0 | 0 | |||||||||
−570.211 | + | 10.6505i | −1.60623 | + | 0.0300013i | |||||
412.526 | − | 714.516i | 1.15878 | − | 2.00707i | |||||
0 | 0 | |||||||||
−953.287 | − | 255.433i | −2.66281 | − | 0.713499i | |||||
116.601i | 0.324795i | 0.986725 | + | 0.162398i | ||||||
−0.986725 | + | 0.162398i | ||||||||
0 | 0 | |||||||||
−675.274 | −1.87056 | |||||||||
−243.464 | + | 908.619i | −0.672552 | + | 2.51000i | |||||
0 | 0 | |||||||||
−363.239 | − | 209.716i | −0.997910 | − | 0.576144i | |||||
92.2195 | − | 95.7300i | 0.252656 | − | 0.262274i | |||||
0 | 0 | |||||||||
112.479 | − | 419.779i | 0.306483 | − | 1.14381i | −0.625177 | − | 0.780483i | ||
0.931661 | − | 0.363329i | ||||||||
13.7043 | − | 13.7043i | 0.0372398 | − | 0.0372398i | |||||
0 | 0 | |||||||||
283.790 | − | 170.991i | 0.766999 | − | 0.462137i | |||||
−109.467 | − | 189.602i | −0.295059 | − | 0.511058i | |||||
0 | 0 | |||||||||
−167.428 | − | 624.849i | −0.448868 | − | 1.67520i | −0.705516 | − | 0.708694i | ||
0.256647 | − | 0.966505i | ||||||||
111.311 | + | 64.2656i | 0.297624 | + | 0.171833i | |||||
0 | 0 | |||||||||
−33.9757 | − | 58.8477i | −0.0903610 | − | 0.156510i | |||||
233.215 | + | 233.215i | 0.618608 | + | 0.618608i | |||||
0 | 0 | |||||||||
− | 297.836i | − | 0.785846i | −0.919571 | − | 0.392923i | ||||
0.919571 | − | 0.392923i | ||||||||
694.925 | − | 1257.30i | 1.82875 | − | 3.30869i | |||||
0 | 0 | |||||||||
623.648 | − | 167.106i | 1.63259 | − | 0.437450i | |||||
111.047 | + | 414.434i | 0.289941 | + | 1.08207i | 0.945153 | + | 0.326629i | ||
−0.655212 | + | 0.755445i | ||||||||
0 | 0 | |||||||||
65.6351 | − | 18.9074i | 0.170481 | − | 0.0491102i | |||||
96.6228 | 0.250318 | |||||||||
0 | 0 | |||||||||
992.656 | − | 992.656i | 2.55839 | − | 2.55839i | |||||
197.682 | − | 114.132i | 0.508181 | − | 0.293398i | −0.223905 | − | 0.974611i | ||
0.732086 | + | 0.681213i | ||||||||
0 | 0 | |||||||||
−4.49725 | + | 7.78947i | −0.0115019 | + | 0.0199219i | |||||
−417.634 | + | 111.905i | −1.06539 | + | 0.285471i | |||||
0 | 0 | |||||||||
−522.160 | + | 301.469i | −1.32528 | + | 0.765151i | |||||
90.5255 | − | 54.5440i | 0.229178 | − | 0.138086i | |||||
0 | 0 | |||||||||
120.533 | + | 120.533i | 0.303609 | + | 0.303609i | 0.842424 | − | 0.538815i | ||
−0.538815 | + | 0.842424i | ||||||||
−83.0416 | − | 22.2509i | −0.208647 | − | 0.0559069i | |||||
0 | 0 | |||||||||
371.844 | + | 591.850i | 0.929610 | + | 1.47962i | |||||
−226.669 | + | 392.602i | −0.565259 | + | 0.979057i | 0.431766 | + | 0.901985i | ||
−0.997026 | + | 0.0770720i | ||||||||
0 | 0 | |||||||||
235.260 | + | 63.0377i | 0.583772 | + | 0.156421i | |||||
737.193i | 1.82473i | |||||||||
0 | 0 | |||||||||
−620.251 | −1.52771 | |||||||||
−13.1439 | + | 49.0538i | −0.0322946 | + | 0.120525i | |||||
0 | 0 | |||||||||
427.158 | + | 246.620i | 1.04440 | + | 0.602982i | 0.921075 | − | 0.389385i | ||
0.123320 | + | 0.992367i | ||||||||
−523.379 | − | 504.186i | −1.27653 | − | 1.22972i | |||||
0 | 0 | |||||||||
−115.679 | + | 431.718i | −0.280773 | + | 1.04786i | |||||
149.222 | − | 149.222i | 0.361312 | − | 0.361312i | |||||
0 | 0 | |||||||||
−74.2008 | − | 18.4040i | −0.178797 | − | 0.0443470i | |||||
140.697 | + | 243.695i | 0.338214 | + | 0.585805i | |||||
0 | 0 | |||||||||
82.5314 | + | 308.011i | 0.197444 | + | 0.736870i | |||||
22.7963 | + | 13.1615i | 0.0544066 | + | 0.0314116i | 0.526957 | − | 0.849892i | ||
−0.472550 | + | 0.881304i | ||||||||
0 | 0 | |||||||||
243.419 | + | 421.613i | 0.578192 | + | 1.00146i | 0.995687 | + | 0.0927780i | ||
−0.417495 | + | 0.908679i | ||||||||
−346.284 | − | 346.284i | −0.820579 | − | 0.820579i | |||||
0 | 0 | |||||||||
781.894i | 1.84409i | |||||||||
−237.782 | − | 220.650i | −0.559486 | − | 0.519177i | |||||
0 | 0 | |||||||||
−62.9281 | + | 16.8615i | −0.147373 | + | 0.0394884i | |||||
−187.736 | − | 700.641i | −0.438636 | − | 1.63701i | |||||
0 | 0 | |||||||||
−33.1762 | + | 60.0244i | −0.0771540 | + | 0.139592i | |||||
−73.2818 | −0.170027 | −0.0850137 | − | 0.996380i | ||||||
−0.0850137 | + | 0.996380i | ||||||||
0 | 0 | |||||||||
79.7731 | − | 79.7731i | 0.184234 | − | 0.184234i | −0.608964 | − | 0.793198i | ||
0.793198 | + | 0.608964i | ||||||||
−396.671 | + | 229.018i | −0.913989 | + | 0.527692i | |||||
0 | 0 | |||||||||
−650.882 | + | 1127.36i | −1.49285 | + | 2.58569i | |||||
−21.5544 | + | 5.77547i | −0.0493235 | + | 0.0132162i | |||||
0 | 0 | |||||||||
−97.4363 | + | 56.2549i | −0.221951 | + | 0.128143i | −0.606853 | − | 0.794814i | ||
0.384903 | + | 0.922957i | ||||||||
−236.765 | − | 58.7248i | −0.538102 | − | 0.133465i | |||||
0 | 0 | |||||||||
−312.651 | − | 312.651i | −0.707356 | − | 0.707356i | |||||
154.045 | + | 41.2762i | 0.347731 | + | 0.0931742i | 0.428457 | − | 0.903562i | ||
−0.0807263 | + | 0.996736i | ||||||||
0 | 0 | |||||||||
−8.63158 | − | 462.122i | −0.0193968 | − | 1.03848i | |||||
−721.258 | + | 1249.25i | −1.61717 | + | 2.80102i | |||||
0 | 0 | |||||||||
24.4292 | + | 6.54578i | 0.0545295 | + | 0.0146111i | |||||
− | 291.806i | − | 0.649901i | −0.945731 | − | 0.324951i | ||||
0.945731 | − | 0.324951i | ||||||||
0 | 0 | |||||||||
111.390 | 0.246985 | |||||||||
−125.238 | + | 467.395i | −0.277075 | + | 1.03406i | |||||
0 | 0 | |||||||||
589.367 | + | 340.271i | 1.29817 | + | 0.749497i | |||||
−234.929 | + | 4.38804i | −0.516328 | + | 0.00964405i | |||||
0 | 0 | |||||||||
121.316 | − | 452.757i | 0.265462 | − | 0.990716i | −0.696506 | − | 0.717551i | ||
0.961967 | − | 0.273165i | ||||||||
−376.313 | + | 376.313i | −0.821645 | + | 0.821645i | |||||
0 | 0 | |||||||||
7.44703 | − | 30.0247i | 0.0161892 | − | 0.0652712i | |||||
248.770 | + | 430.882i | 0.539631 | + | 0.934668i | 0.998924 | + | 0.0463832i | ||
−0.459293 | + | 0.888285i | ||||||||
0 | 0 | |||||||||
235.850 | + | 880.204i | 0.509395 | + | 1.90109i | 0.426391 | + | 0.904539i | ||
0.0830044 | + | 0.996549i | ||||||||
842.531 | + | 486.435i | 1.81580 | + | 1.04835i | |||||
0 | 0 | |||||||||
487.764 | + | 844.831i | 1.04670 | + | 1.81294i | |||||
204.884 | + | 204.884i | 0.438724 | + | 0.438724i | 0.891582 | − | 0.452859i | ||
−0.452859 | + | 0.891582i | ||||||||
0 | 0 | |||||||||
230.970i | 0.492474i | |||||||||
−60.3749 | − | 33.3699i | −0.128457 | − | 0.0709998i | |||||
0 | 0 | |||||||||
−727.991 | + | 195.065i | −1.54235 | + | 0.413273i | |||||
−2.72075 | − | 10.1540i | −0.00575212 | − | 0.0214672i | |||||
0 | 0 | |||||||||
−30.0531 | − | 804.219i | −0.0632697 | − | 1.69309i | |||||
574.185 | 1.20627 | |||||||||
0 | 0 | |||||||||
333.786 | − | 333.786i | 0.698297 | − | 0.698297i | |||||
177.082 | − | 102.238i | 0.369691 | − | 0.213441i | −0.303632 | − | 0.952789i | ||
0.673324 | + | 0.739348i | ||||||||
0 | 0 | |||||||||
87.3504 | − | 151.295i | 0.181602 | − | 0.314543i | |||||
741.673 | − | 198.731i | 1.53874 | − | 0.412304i | |||||
0 | 0 | |||||||||
−876.586 | + | 506.097i | −1.81113 | + | 1.04566i | |||||
189.324 | − | 763.310i | 0.390358 | − | 1.57384i | |||||
0 | 0 | |||||||||
−506.650 | − | 506.650i | −1.04035 | − | 1.04035i | −0.999151 | − | 0.0411985i | ||
−0.0411985 | − | 0.999151i | ||||||||
224.740 | + | 60.2188i | 0.460532 | + | 0.123399i | |||||
0 | 0 | |||||||||
−304.521 | + | 316.113i | −0.621471 | + | 0.645129i | |||||
104.633 | − | 181.229i | 0.213101 | − | 0.369102i | −0.739582 | − | 0.673066i | ||
0.952684 | + | 0.303964i | ||||||||
0 | 0 | |||||||||
−436.120 | − | 116.858i | −0.884624 | − | 0.237034i | |||||
− | 1096.96i | − | 2.22056i | |||||||
0 | 0 | |||||||||
718.435 | 1.44846 | |||||||||
146.368 | − | 546.254i | 0.294504 | − | 1.09910i | |||||
0 | 0 | |||||||||
−287.007 | − | 165.704i | −0.575165 | − | 0.332072i | 0.184044 | − | 0.982918i | ||
−0.759210 | + | 0.650846i | ||||||||
995.905 | + | 502.846i | 1.99181 | + | 1.00569i | |||||
0 | 0 | |||||||||
−45.0929 | + | 168.289i | −0.0898265 | + | 0.335237i | |||||
278.209 | − | 278.209i | 0.553100 | − | 0.553100i | −0.374234 | − | 0.927334i | ||
0.927334 | + | 0.374234i | ||||||||
0 | 0 | |||||||||
213.135 | + | 353.735i | 0.422049 | + | 0.700466i | |||||
3.43329 | + | 5.94663i | 0.00678515 | + | 0.0117522i | |||||
0 | 0 | |||||||||
−164.667 | − | 614.546i | −0.324148 | − | 1.20974i | |||||
−679.279 | − | 392.182i | −1.33454 | − | 0.770495i | −0.348546 | − | 0.937292i | ||
−0.985991 | + | 0.166797i | ||||||||
0 | 0 | |||||||||
65.9040 | + | 114.149i | 0.128971 | + | 0.223384i | |||||
−813.324 | − | 813.324i | −1.58852 | − | 1.58852i | |||||
0 | 0 | |||||||||
− | 1675.66i | − | 3.26003i | |||||||
69.3096 | + | 240.601i | 0.134582 | + | 0.467186i | |||||
0 | 0 | |||||||||
10.2133 | − | 2.73664i | 0.0197549 | − | 0.00529330i | |||||
85.0329 | + | 317.347i | 0.164156 | + | 0.612639i | |||||
0 | 0 | |||||||||
734.448 | + | 405.938i | 1.41240 | + | 0.780650i | |||||
−763.749 | −1.46593 | −0.732964 | − | 0.680267i | ||||||
−0.732964 | + | 0.680267i | ||||||||
0 | 0 | |||||||||
−284.699 | + | 284.699i | −0.544358 | + | 0.544358i | −0.924803 | − | 0.380445i | ||
0.380445 | + | 0.924803i | ||||||||
−1386.57 | + | 800.535i | −2.64612 | + | 1.52774i | |||||
0 | 0 | |||||||||
194.842 | − | 337.476i | 0.370421 | − | 0.641589i | |||||
−322.061 | + | 86.2959i | −0.611121 | + | 0.163749i | |||||
0 | 0 | |||||||||
457.711 | − | 264.260i | 0.865239 | − | 0.499546i | |||||
409.651 | + | 679.889i | 0.772926 | + | 1.28281i | |||||
0 | 0 | |||||||||
1007.28 | + | 1007.28i | 1.89339 | + | 1.89339i | |||||
−370.133 | − | 99.1769i | −0.694434 | − | 0.186073i | |||||
0 | 0 | |||||||||
−292.650 | − | 281.918i | −0.547010 | − | 0.526950i | |||||
412.440 | − | 714.367i | 0.769478 | − | 1.33277i | |||||
0 | 0 | |||||||||
−944.442 | − | 253.062i | −1.75547 | − | 0.470376i | |||||
− | 67.2782i | − | 0.124820i | |||||||
0 | 0 | |||||||||
120.576 | 0.222876 | 0.111438 | − | 0.993771i | ||||||
0.111438 | + | 0.993771i | ||||||||
263.638 | − | 983.909i | 0.486416 | − | 1.81533i | |||||
0 | 0 | |||||||||
−333.608 | − | 192.608i | −0.613249 | − | 0.354060i | |||||
13.6189 | + | 729.134i | 0.0249887 | + | 1.33786i | |||||
0 | 0 | |||||||||
59.6213 | − | 222.510i | 0.108997 | − | 0.406782i | −0.889771 | − | 0.456407i | ||
0.998768 | + | 0.0496252i | ||||||||
−890.397 | + | 890.397i | −1.62481 | + | 1.62481i | |||||
0 | 0 | |||||||||
−236.644 | + | 72.9827i | −0.430262 | + | 0.132696i | |||||
−560.075 | − | 970.078i | −1.01647 | − | 1.76058i | |||||
0 | 0 | |||||||||
27.1244 | + | 101.230i | 0.0490496 | + | 0.183056i | |||||
463.327 | + | 267.502i | 0.836330 | + | 0.482855i | |||||
0 | 0 | |||||||||
−1216.43 | − | 2106.91i | −2.18782 | − | 3.78941i | |||||
664.417 | + | 664.417i | 1.19285 | + | 1.19285i | 0.976264 | + | 0.216586i | ||
0.216586 | + | 0.976264i | ||||||||
0 | 0 | |||||||||
36.1626i | 0.0646915i | |||||||||
−666.017 | + | 191.859i | −1.18932 | + | 0.342605i | |||||
0 | 0 | |||||||||
876.788 | − | 234.935i | 1.56012 | − | 0.418033i | |||||
−71.6752 | − | 267.496i | −0.127309 | − | 0.475125i | 0.872602 | − | 0.488432i | ||
−0.999911 | + | 0.0133066i | ||||||||
0 | 0 | |||||||||
75.0372 | + | 260.483i | 0.132809 | + | 0.461033i | |||||
1724.35 | 3.04655 | |||||||||
0 | 0 | |||||||||
−1428.14 | + | 1428.14i | −2.51433 | + | 2.51433i | |||||
−830.591 | + | 479.542i | −1.45974 | + | 0.842780i | −0.998998 | − | 0.0447548i | ||
−0.460740 | + | 0.887535i | ||||||||
0 | 0 | |||||||||
−222.371 | + | 385.158i | −0.389442 | + | 0.674533i | −0.992375 | − | 0.123259i | ||
0.602933 | + | 0.797792i | ||||||||
−225.145 | + | 60.3275i | −0.393611 | + | 0.105468i | |||||
0 | 0 | |||||||||
624.080 | − | 360.313i | 1.08725 | − | 0.627723i | |||||
−5.10726 | − | 16.5602i | −0.00888219 | − | 0.0288003i | |||||
0 | 0 | |||||||||
670.378 | + | 670.378i | 1.16183 | + | 1.16183i | 0.984074 | + | 0.177761i | ||
0.177761 | + | 0.984074i | ||||||||
−418.933 | − | 112.253i | −0.724797 | − | 0.194209i | |||||
0 | 0 | |||||||||
1552.57 | − | 28.9992i | 2.67685 | − | 0.0499986i | |||||
37.9038 | − | 65.6513i | 0.0652388 | − | 0.112997i | |||||
0 | 0 | |||||||||
−117.521 | − | 31.4895i | −0.201579 | − | 0.0540129i | |||||
− | 470.735i | − | 0.806053i | |||||||
0 | 0 | |||||||||
729.675 | 1.24518 | |||||||||
116.613 | − | 435.207i | 0.198660 | − | 0.741410i | −0.792629 | − | 0.609704i | ||
0.991289 | − | 0.131705i | ||||||||
0 | 0 | |||||||||
−716.373 | − | 413.598i | −1.21625 | − | 0.702204i | |||||
−530.820 | + | 551.027i | −0.899696 | + | 0.933945i | |||||
0 | 0 | |||||||||
133.375 | − | 497.762i | 0.225295 | − | 0.840814i | |||||
−292.884 | + | 292.884i | −0.493902 | + | 0.493902i | −0.909533 | − | 0.415631i | ||
0.415631 | + | 0.909533i | ||||||||
0 | 0 | |||||||||
275.517 | − | 166.006i | 0.463054 | − | 0.279002i | |||||
896.636 | + | 1553.02i | 1.50442 | + | 2.60574i | |||||
0 | 0 | |||||||||
−6.11368 | − | 22.8166i | −0.0102235 | − | 0.0381548i | |||||
434.899 | + | 251.089i | 0.726042 | + | 0.419180i | 0.816972 | − | 0.576677i | ||
−0.0909308 | + | 0.995857i | ||||||||
0 | 0 | |||||||||
−99.8075 | − | 172.872i | −0.166069 | − | 0.287640i | 0.770965 | − | 0.636877i | ||
−0.937034 | + | 0.349237i | ||||||||
−48.0883 | − | 48.0883i | −0.0798810 | − | 0.0798810i | |||||
0 | 0 | |||||||||
− | 1047.04i | − | 1.73350i | |||||||
−274.301 | + | 496.282i | −0.453390 | + | 0.820301i | |||||
0 | 0 | |||||||||
−837.927 | + | 224.522i | −1.38044 | + | 0.369888i | −0.871281 | − | 0.490785i | ||
−0.509159 | + | 0.860672i | ||||||||
−247.352 | − | 923.131i | −0.406829 | − | 1.51831i | |||||
0 | 0 | |||||||||
226.970 | − | 65.3831i | 0.372083 | − | 0.107185i | |||||
−36.3737 | −0.0595314 | |||||||||
0 | 0 | |||||||||
−31.6781 | + | 31.6781i | −0.0516771 | + | 0.0516771i | −0.732473 | − | 0.680796i | ||
0.680796 | + | 0.732473i | ||||||||
1605.75 | − | 927.078i | 2.61522 | − | 1.50990i | |||||
0 | 0 | |||||||||
120.946 | − | 209.485i | 0.196341 | − | 0.340072i | |||||
−253.302 | + | 67.8722i | −0.410539 | + | 0.110004i | −0.458177 | − | 0.888861i | ||
0.0476380 | + | 0.998865i | ||||||||
0 | 0 | |||||||||
−422.528 | + | 243.947i | −0.682598 | + | 0.394098i | −0.800833 | − | 0.598887i | ||
0.118235 | + | 0.992986i | ||||||||
982.214 | − | 591.809i | 1.58422 | − | 0.954531i | |||||
0 | 0 | |||||||||
−521.044 | − | 521.044i | −0.837691 | − | 0.837691i | |||||
442.707 | + | 118.623i | 0.710605 | + | 0.190406i | |||||
0 | 0 | |||||||||
623.257 | − | 46.6465i | 0.997211 | − | 0.0746344i | |||||
639.119 | − | 1106.99i | 1.02096 | − | 1.76835i | |||||
0 | 0 | |||||||||
1830.18 | + | 490.396i | 2.91431 | + | 0.780886i | |||||
239.158i | 0.380219i | |||||||||
0 | 0 | |||||||||
263.490 | 0.417576 | 0.208788 | − | 0.977961i | ||||||
0.208788 | + | 0.977961i | ||||||||
96.8714 | − | 361.529i | 0.153277 | − | 0.572039i | |||||
0 | 0 | |||||||||
−80.4505 | − | 46.4481i | −0.126894 | − | 0.0732620i | |||||
−256.690 | − | 247.276i | −0.404236 | − | 0.389412i | |||||
0 | 0 | |||||||||
−59.9014 | + | 223.555i | −0.0940367 | + | 0.350950i | |||||
−243.730 | + | 243.730i | −0.382023 | + | 0.382023i | |||||
0 | 0 | |||||||||
−665.298 | − | 165.014i | −1.03953 | − | 0.257834i | |||||
459.262 | + | 795.464i | 0.716477 | + | 1.24097i | 0.962387 | + | 0.271682i | ||
−0.245911 | + | 0.969293i | ||||||||
0 | 0 | |||||||||
10.9456 | + | 40.8497i | 0.0170228 | + | 0.0635298i | 0.973915 | − | 0.226914i | ||
−0.956892 | + | 0.290444i | ||||||||
26.5652 | + | 15.3374i | 0.0412504 | + | 0.0238159i | |||||
0 | 0 | |||||||||
750.843 | + | 1300.50i | 1.16230 | + | 2.01316i | |||||
12.5734 | + | 12.5734i | 0.0194334 | + | 0.0194334i | 0.716757 | − | 0.697323i | ||
−0.697323 | + | 0.716757i | ||||||||
0 | 0 | |||||||||
− | 117.275i | − | 0.180701i | |||||||
851.313 | − | 31.8130i | 1.30971 | − | 0.0489430i | |||||
0 | 0 | |||||||||
−745.601 | + | 199.783i | −1.14356 | + | 0.306416i | |||||
−137.591 | − | 513.495i | −0.210705 | − | 0.786363i | −0.987634 | − | 0.156775i | ||
0.776929 | − | 0.629588i | ||||||||
0 | 0 | |||||||||
−433.884 | + | 785.009i | −0.662418 | + | 1.19849i | |||||
−1130.31 | −1.72303 | |||||||||
0 | 0 | |||||||||
48.3691 | − | 48.3691i | 0.0735093 | − | 0.0735093i | |||||
64.8393 | − | 37.4350i | 0.0983905 | − | 0.0568058i | −0.449997 | − | 0.893030i | ||
0.548388 | + | 0.836224i | ||||||||
0 | 0 | |||||||||
11.3687 | − | 19.6912i | 0.0171993 | − | 0.0297900i | −0.857298 | − | 0.514821i | ||
0.874497 | + | 0.485031i | ||||||||
672.712 | − | 180.253i | 1.01618 | − | 0.272285i | |||||
0 | 0 | |||||||||
−234.465 | + | 135.368i | −0.353110 | + | 0.203868i | |||||
774.557 | + | 192.113i | 1.16475 | + | 0.288892i | |||||
0 | 0 | |||||||||
−17.0560 | − | 17.0560i | −0.0255713 | − | 0.0255713i | |||||
2096.93 | + | 561.872i | 3.13912 | + | 0.841125i | |||||
0 | 0 | |||||||||
−15.6384 | − | 837.259i | −0.0233409 | − | 1.24964i | |||||
−18.1021 | + | 31.3537i | −0.0269777 | + | 0.0467268i | |||||
0 | 0 | |||||||||
619.582 | + | 166.017i | 0.920628 | + | 0.246681i | 0.687854 | − | 0.725849i | ||
0.232774 | + | 0.972531i | ||||||||
− | 330.040i | − | 0.489673i | |||||||
0 | 0 | |||||||||
−706.526 | −1.04516 | |||||||||
150.613 | − | 562.095i | 0.222471 | − | 0.830273i | −0.760931 | − | 0.648833i | ||
0.983402 | − | 0.181440i | ||||||||
0 | 0 | |||||||||
675.360 | + | 389.919i | 0.994639 | + | 0.574255i | |||||
−1148.58 | + | 21.4534i | −1.68909 | + | 0.0315490i | |||||
0 | 0 | |||||||||
−65.8799 | + | 245.867i | −0.0965982 | + | 0.360509i | |||||
−599.384 | + | 599.384i | −0.877576 | + | 0.877576i | −0.993283 | − | 0.115708i | ||
0.115708 | + | 0.993283i | ||||||||
0 | 0 | |||||||||
−169.820 | + | 684.677i | −0.247913 | + | 0.999529i | |||||
−654.336 | − | 1133.34i | −0.953842 | − | 1.65210i | |||||
0 | 0 | |||||||||
27.6082 | + | 103.035i | 0.0401282 | + | 0.149761i | |||||
362.466 | + | 209.270i | 0.526075 | + | 0.303730i | |||||
0 | 0 | |||||||||
−348.543 | − | 603.695i | −0.504404 | − | 0.873654i | −0.999987 | − | 0.00509303i | ||
0.495583 | − | 0.868561i | ||||||||
−106.685 | − | 106.685i | −0.154169 | − | 0.154169i | |||||
0 | 0 | |||||||||
21.7458i | 0.0313340i | |||||||||
−1192.83 | − | 659.293i | −1.71631 | − | 0.948624i | |||||
0 | 0 | |||||||||
506.696 | − | 135.769i | 0.726967 | − | 0.194790i | |||||
−72.9231 | − | 272.153i | −0.104474 | − | 0.389904i | |||||
0 | 0 | |||||||||
−752.507 | + | 810.932i | −1.07501 | + | 1.15847i | |||||
643.602 | 0.918119 | 0.459060 | − | 0.888405i | ||||||
0.459060 | + | 0.888405i | ||||||||
0 | 0 | |||||||||
−419.550 | + | 419.550i | −0.596800 | + | 0.596800i | |||||
12.1718 | − | 7.02736i | 0.0172894 | − | 0.00998205i | |||||
0 | 0 | |||||||||
−71.1500 | + | 123.235i | −0.100779 | + | 0.174554i | |||||
−395.563 | + | 105.991i | −0.559495 | + | 0.149916i | |||||
0 | 0 | |||||||||
−1069.69 | + | 617.583i | −1.50872 | + | 0.871062i | −0.508775 | + | 0.860899i | ||
−0.999948 | + | 0.0101629i | ||||||||
−493.594 | + | 1990.06i | −0.695203 | + | 2.80290i | |||||
0 | 0 | |||||||||
−1157.42 | − | 1157.42i | −1.62559 | − | 1.62559i | |||||
−17.2056 | − | 4.61022i | −0.0241312 | − | 0.00646594i | |||||
0 | 0 | |||||||||
−90.5922 | + | 94.0408i | −0.126702 | + | 0.131526i | |||||
−1225.04 | + | 2121.83i | −1.71095 | + | 2.96345i | |||||
0 | 0 | |||||||||
404.918 | + | 108.497i | 0.563952 | + | 0.151110i | |||||
219.618i | 0.305449i | 0.988269 | + | 0.152724i | ||||||
−0.988269 | + | 0.152724i | ||||||||
0 | 0 | |||||||||
−248.283 | −0.344360 | |||||||||
−628.340 | + | 2345.00i | −0.870278 | + | 3.24792i | |||||
0 | 0 | |||||||||
2022.41 | + | 1167.64i | 2.79338 | + | 1.61276i | |||||
736.604 | − | 462.789i | 1.01601 | − | 0.638330i | |||||
0 | 0 | |||||||||
73.8261 | − | 275.523i | 0.101549 | − | 0.378986i | −0.896382 | − | 0.443283i | ||
0.997931 | + | 0.0642969i | ||||||||
−588.400 | + | 588.400i | −0.808242 | + | 0.808242i | |||||
0 | 0 | |||||||||
−246.628 | − | 409.324i | −0.337847 | − | 0.560718i | |||||
−24.7525 | − | 42.8726i | −0.0338611 | − | 0.0586492i | |||||
0 | 0 | |||||||||
−181.709 | − | 678.149i | −0.247898 | − | 0.925169i | −0.971905 | − | 0.235375i | ||
0.724006 | − | 0.689793i | ||||||||
−1353.09 | − | 781.206i | −1.84345 | − | 1.06431i | |||||
0 | 0 | |||||||||
−10.2898 | − | 17.8224i | −0.0139807 | − | 0.0242153i | |||||
90.7608 | + | 90.7608i | 0.123149 | + | 0.123149i | |||||
0 | 0 | |||||||||
1147.21i | 1.55238i | 0.630497 | + | 0.776192i | ||||||
−0.630497 | + | 0.776192i | ||||||||
−227.686 | − | 790.387i | −0.307684 | − | 1.06809i | |||||
0 | 0 | |||||||||
−760.284 | + | 203.717i | −1.02464 | + | 0.274552i | |||||
−226.953 | − | 847.001i | −0.305455 | − | 1.13997i | −0.932553 | − | 0.361034i | ||
0.627098 | − | 0.778941i | ||||||||
0 | 0 | |||||||||
879.246 | + | 485.970i | 1.18020 | + | 0.652308i | |||||
−2325.68 | −3.11754 | |||||||||
0 | 0 | |||||||||
225.628 | − | 225.628i | 0.301642 | − | 0.301642i | |||||
348.958 | − | 201.471i | 0.465899 | − | 0.268987i | |||||
0 | 0 | |||||||||
147.537 | − | 255.542i | 0.196455 | − | 0.340269i | −0.750922 | − | 0.660391i | ||
0.947376 | + | 0.320122i | ||||||||
−103.637 | + | 27.7694i | −0.137815 | + | 0.0369274i | |||||
0 | 0 | |||||||||
1026.88 | − | 592.872i | 1.36192 | − | 0.786303i | |||||
−302.715 | − | 502.410i | −0.400947 | − | 0.665444i | |||||
0 | 0 | |||||||||
89.6510 | + | 89.6510i | 0.118429 | + | 0.118429i | 0.763838 | − | 0.645408i | ||
−0.645408 | + | 0.763838i | ||||||||
−1034.28 | − | 277.135i | −1.36449 | − | 0.365614i | |||||
0 | 0 | |||||||||
−2052.57 | − | 1977.30i | −2.70075 | − | 2.60171i | |||||
−80.6635 | + | 139.713i | −0.105997 | + | 0.183592i | −0.914145 | − | 0.405387i | ||
0.808148 | + | 0.588979i | ||||||||
0 | 0 | |||||||||
−698.501 | − | 187.163i | −0.915466 | − | 0.245298i | |||||
− | 1602.86i | − | 2.09798i | |||||||
0 | 0 | |||||||||
1542.52 | 2.01373 | |||||||||
−104.416 | + | 389.686i | −0.136136 | + | 0.508065i | |||||
0 | 0 | |||||||||
−129.486 | − | 74.7588i | −0.168382 | − | 0.0972156i | 0.413440 | − | 0.910531i | ||
−0.581823 | + | 0.813316i | ||||||||
−4.58589 | − | 245.522i | −0.00595570 | − | 0.318859i | |||||
0 | 0 | |||||||||
62.0835 | − | 231.699i | 0.0804190 | − | 0.300128i | |||||
994.453 | − | 994.453i | 1.28649 | − | 1.28649i | 0.349578 | − | 0.936907i | ||
0.936907 | − | 0.349578i | ||||||||
0 | 0 | |||||||||
300.204 | − | 567.949i | 0.387361 | − | 0.732837i | |||||
−1392.55 | − | 2411.96i | −1.79452 | − | 3.10819i | |||||
0 | 0 | |||||||||
−212.399 | − | 792.684i | −0.273006 | − | 1.01887i | |||||
1127.06 | + | 650.711i | 1.44681 | + | 0.835316i | |||||
0 | 0 | |||||||||
−157.137 | − | 272.169i | −0.201200 | − | 0.348488i | |||||
22.8655 | + | 22.8655i | 0.0292398 | + | 0.0292398i | |||||
0 | 0 | |||||||||
682.690i | 0.870778i | |||||||||
1019.98 | − | 293.824i | 1.29934 | − | 0.374298i | |||||
0 | 0 | |||||||||
−887.757 | + | 237.874i | −1.12803 | + | 0.302254i | −0.774128 | − | 0.633030i | ||
−0.353899 | + | 0.935284i | ||||||||
387.409 | + | 1445.83i | 0.491635 | + | 1.83481i | |||||
0 | 0 | |||||||||
−105.179 | − | 365.118i | −0.133138 | − | 0.462174i | |||||
−268.801 | −0.339824 | |||||||||
0 | 0 | |||||||||
88.0662 | − | 88.0662i | 0.111055 | − | 0.111055i | |||||
530.725 | − | 306.414i | 0.668420 | − | 0.385912i | |||||
0 | 0 | |||||||||
−106.714 | + | 184.834i | −0.134063 | + | 0.232204i | |||||
−860.450 | + | 230.557i | −1.07961 | + | 0.289281i | −0.754437 | − | 0.656373i | ||
−0.325175 | + | 0.945654i | ||||||||
0 | 0 | |||||||||
43.1229 | − | 24.8970i | 0.0539711 | − | 0.0311602i | |||||
709.239 | − | 218.734i | 0.886549 | − | 0.273417i | |||||
0 | 0 | |||||||||
1152.46 | + | 1152.46i | 1.43698 | + | 1.43698i | |||||
70.7526 | + | 18.9581i | 0.0881104 | + | 0.0236091i | |||||
0 | 0 | |||||||||
17.1814 | − | 0.320916i | 0.0213433 | − | 0.000398654i | |||||
437.818 | − | 758.323i | 0.543198 | − | 0.940847i | |||||
0 | 0 | |||||||||
1412.70 | + | 378.532i | 1.74839 | + | 0.468480i | |||||
1398.60i | 1.72880i | 0.502802 | + | 0.864402i | ||||||
−0.502802 | + | 0.864402i | ||||||||
0 | 0 | |||||||||
−347.451 | −0.428423 | −0.214211 | − | 0.976787i | ||||||
−0.214211 | + | 0.976787i | ||||||||
−398.533 | + | 1487.34i | −0.490804 | + | 1.83170i | |||||
0 | 0 | |||||||||
158.117 | + | 91.2888i | 0.194247 | + | 0.112148i | |||||
−300.009 | + | 311.430i | −0.368109 | + | 0.382122i | |||||
0 | 0 | |||||||||
31.7877 | − | 118.633i | 0.0389079 | − | 0.145206i | |||||
1253.90 | − | 1253.90i | 1.53288 | − | 1.53288i | |||||
0 | 0 | |||||||||
−1545.31 | + | 931.090i | −1.88453 | + | 1.13548i | |||||
493.294 | + | 854.410i | 0.600845 | + | 1.04069i | 0.992693 | + | 0.120665i | ||
−0.391848 | + | 0.920030i | ||||||||
0 | 0 | |||||||||
65.3381 | + | 243.845i | 0.0793902 | + | 0.296288i | 0.994193 | − | 0.107613i | ||
−0.914803 | + | 0.403901i | ||||||||
767.914 | + | 443.356i | 0.931935 | + | 0.538053i | |||||
0 | 0 | |||||||||
−379.347 | − | 657.049i | −0.459258 | − | 0.795458i | |||||
−1054.44 | − | 1054.44i | −1.27502 | − | 1.27502i | −0.943419 | − | 0.331604i | ||
−0.331604 | − | 0.943419i | ||||||||
0 | 0 | |||||||||
− | 819.644i | − | 0.988714i | −0.869259 | − | 0.494357i | ||||
0.869259 | − | 0.494357i | ||||||||
−132.955 | + | 240.550i | −0.160186 | + | 0.289819i | |||||
0 | 0 | |||||||||
−46.7017 | + | 12.5137i | −0.0561318 | + | 0.0150405i | |||||
−82.0024 | − | 306.037i | −0.0984423 | − | 0.367392i | |||||
0 | 0 | |||||||||
1168.64 | − | 336.649i | 1.39957 | − | 0.403173i | |||||
791.631 | 0.946928 | |||||||||
0 | 0 | |||||||||
66.9173 | − | 66.9173i | 0.0798536 | − | 0.0798536i | |||||
−425.345 | + | 245.573i | −0.506966 | + | 0.292697i | −0.731586 | − | 0.681749i | ||
0.224619 | + | 0.974447i | ||||||||
0 | 0 | |||||||||
184.907 | − | 320.269i | 0.219866 | − | 0.380819i | |||||
1690.62 | − | 453.001i | 2.00786 | − | 0.538006i | |||||
0 | 0 | |||||||||
−1052.88 | + | 607.880i | −1.24749 | + | 0.720237i | |||||
−339.020 | + | 204.268i | −0.401207 | + | 0.241738i | |||||
0 | 0 | |||||||||
−397.594 | − | 397.594i | −0.469415 | − | 0.469415i | |||||
1192.51 | + | 319.533i | 1.40627 | + | 0.376808i | |||||
0 | 0 | |||||||||
−987.500 | + | 620.421i | −1.16176 | + | 0.729907i | |||||
−6.38831 | + | 11.0649i | −0.00750682 | + | 0.0130022i | |||||
0 | 0 | |||||||||
336.484 | + | 90.1607i | 0.394472 | + | 0.105698i | 0.450602 | − | 0.892725i | ||
−0.0561301 | + | 0.998423i | ||||||||
234.218i | 0.274260i | |||||||||
0 | 0 | |||||||||
−1439.05 | −1.68114 | |||||||||
−210.885 | + | 787.034i | −0.246074 | + | 0.918359i | 0.726767 | + | 0.686884i | ||
−0.972841 | + | 0.231475i | ||||||||
0 | 0 | |||||||||
101.706 | + | 58.7201i | 0.118401 | + | 0.0683587i | 0.558031 | − | 0.829820i | ||
−0.439630 | + | 0.898179i | ||||||||
122.620 | + | 118.123i | 0.142581 | + | 0.137353i | |||||
0 | 0 | |||||||||
−68.1886 | + | 254.483i | −0.0791051 | + | 0.295224i | |||||
148.570 | − | 148.570i | 0.172155 | − | 0.172155i | −0.615770 | − | 0.787926i | ||
0.787926 | + | 0.615770i | ||||||||
0 | 0 | |||||||||
−82.0360 | − | 20.3474i | −0.0948394 | − | 0.0235230i | |||||
−202.797 | − | 351.254i | −0.234176 | − | 0.405605i | |||||
0 | 0 | |||||||||
294.304 | + | 1098.36i | 0.339060 | + | 1.26539i | |||||
50.4374 | + | 29.1200i | 0.0580407 | + | 0.0335098i | |||||
0 | 0 | |||||||||
−220.775 | − | 382.393i | −0.253473 | − | 0.439028i | |||||
1826.18 | + | 1826.18i | 2.09424 | + | 2.09424i | |||||
0 | 0 | |||||||||
80.2251i | 0.0917907i | |||||||||
−126.630 | + | 606.680i | −0.144720 | + | 0.693349i | |||||
0 | 0 | |||||||||
480.790 | − | 128.827i | 0.548221 | − | 0.146895i | 0.0259318 | − | 0.999664i | ||
0.522289 | + | 0.852768i | ||||||||
104.690 | + | 390.709i | 0.119237 | + | 0.444998i | |||||
0 | 0 | |||||||||
−186.322 | + | 337.106i | −0.211730 | + | 0.383075i | |||||
−306.447 | −0.347840 | −0.173920 | − | 0.984760i | ||||||
−0.173920 | + | 0.984760i | ||||||||
0 | 0 | |||||||||
930.058 | − | 930.058i | 1.05329 | − | 1.05329i | 0.0547963 | − | 0.998498i | ||
0.998498 | − | 0.0547963i | ||||||||
−950.617 | + | 548.839i | −1.07536 | + | 0.620859i | |||||
0 | 0 | |||||||||
286.676 | − | 496.538i | 0.323563 | − | 0.560427i | |||||
130.986 | − | 35.0975i | 0.147673 | − | 0.0395688i | −0.184225 | − | 0.982884i | ||
0.331898 | + | 0.943315i | ||||||||
0 | 0 | |||||||||
306.078 | − | 176.714i | 0.344295 | − | 0.198779i | |||||
−1612.83 | − | 400.029i | −1.81216 | − | 0.449471i | |||||
0 | 0 | |||||||||
2532.24 | + | 2532.24i | 2.83884 | + | 2.83884i | |||||
119.326 | + | 31.9733i | 0.133624 | + | 0.0358044i | |||||
0 | 0 | |||||||||
25.6324 | + | 1372.32i | 0.0286395 | + | 1.53332i | |||||
339.852 | − | 588.641i | 0.379299 | − | 0.656965i | |||||
0 | 0 | |||||||||
−1013.34 | − | 271.524i | −1.12844 | − | 0.302366i | |||||
− | 894.149i | − | 0.994604i | |||||||
0 | 0 | |||||||||
−572.962 | −0.635918 | |||||||||
103.649 | − | 386.822i | 0.114910 | − | 0.428849i | |||||
0 | 0 | |||||||||
831.374 | + | 479.994i | 0.919661 | + | 0.530967i | |||||
1308.02 | − | 24.4313i | 1.44532 | − | 0.0269959i | |||||
0 | 0 | |||||||||
35.1572 | − | 131.208i | 0.0387621 | − | 0.144662i | −0.943833 | − | 0.330423i | ||
0.982595 | + | 0.185761i | ||||||||
1194.65 | − | 1194.65i | 1.31569 | − | 1.31569i | |||||
0 | 0 | |||||||||
−203.363 | + | 819.914i | −0.223476 | + | 0.901004i | |||||
−545.263 | − | 944.423i | −0.598532 | − | 1.03669i | −0.993038 | − | 0.117795i | ||
0.394506 | − | 0.918894i | ||||||||
0 | 0 | |||||||||
−10.9035 | − | 40.6924i | −0.0119425 | − | 0.0445700i | |||||
−1459.39 | − | 842.579i | −1.59671 | − | 0.921859i | |||||
0 | 0 | |||||||||
660.594 | + | 1144.18i | 0.721173 | + | 1.24911i | |||||
−628.907 | − | 628.907i | −0.685831 | − | 0.685831i | |||||
0 | 0 | |||||||||
− | 367.996i | − | 0.400431i | −0.979752 | − | 0.200215i | ||||
0.979752 | − | 0.200215i | ||||||||
−53.7133 | − | 29.6880i | −0.0583840 | − | 0.0322695i | |||||
0 | 0 | |||||||||
1727.79 | − | 462.959i | 1.87396 | − | 0.502125i | |||||
279.815 | + | 1044.28i | 0.303158 | + | 1.13140i | |||||
0 | 0 | |||||||||
−337.767 | − | 313.432i | −0.365153 | − | 0.338845i | |||||
3276.11 | 3.53792 | |||||||||
0 | 0 | |||||||||
730.476 | − | 730.476i | 0.787151 | − | 0.787151i | |||||
−62.7337 | + | 36.2193i | −0.0675282 | + | 0.0389874i | −0.533384 | − | 0.845873i | ||
0.465856 | + | 0.884861i | ||||||||
0 | 0 | |||||||||
393.020 | − | 680.731i | 0.422148 | − | 0.731182i | |||||
2339.28 | − | 626.810i | 2.50996 | − | 0.672542i | |||||
0 | 0 | |||||||||
902.137 | − | 520.849i | 0.965886 | − | 0.557655i | |||||
43.0328 | − | 173.499i | 0.0460244 | − | 0.185560i | |||||
0 | 0 | |||||||||
−887.903 | − | 887.903i | −0.947602 | − | 0.947602i | 0.0510921 | − | 0.998694i | ||
−0.998694 | + | 0.0510921i | ||||||||
802.082 | + | 214.917i | 0.855099 | + | 0.229123i | |||||
0 | 0 | |||||||||
−118.813 | + | 123.336i | −0.126397 | + | 0.131208i | |||||
−190.349 | + | 329.694i | −0.202284 | + | 0.350366i | −0.949264 | − | 0.314480i | ||
0.746980 | + | 0.664846i | ||||||||
0 | 0 | |||||||||
27.0694 | + | 7.25323i | 0.0287056 | + | 0.00769165i | |||||
1190.02i | 1.26061i | |||||||||
0 | 0 | |||||||||
−37.7930 | −0.0399504 | |||||||||
139.605 | − | 521.012i | 0.147418 | − | 0.550172i | −0.852218 | − | 0.523187i | ||
0.999636 | − | 0.0269844i | ||||||||
0 | 0 | |||||||||
−218.221 | − | 125.990i | −0.229948 | − | 0.132761i | |||||
−2820.75 | − | 643.959i | −2.96921 | − | 0.677852i | |||||
0 | 0 | |||||||||
294.831 | − | 1100.33i | 0.309697 | − | 1.15580i | |||||
52.0743 | − | 52.0743i | 0.0546425 | − | 0.0546425i | −0.679258 | − | 0.733900i | ||
0.733900 | + | 0.679258i | ||||||||
0 | 0 | |||||||||
−463.413 | − | 769.118i | −0.485250 | − | 0.805359i | |||||
−585.940 | − | 1014.88i | −0.612908 | − | 1.06159i | |||||
0 | 0 | |||||||||
−190.265 | − | 710.080i | −0.198607 | − | 0.741210i | |||||
−605.788 | − | 349.752i | −0.631687 | − | 0.364705i | |||||
0 | 0 | |||||||||
150.349 | + | 260.413i | 0.156451 | + | 0.270981i | |||||
−444.118 | − | 444.118i | −0.461662 | − | 0.461662i | |||||
0 | 0 | |||||||||
− | 1906.20i | − | 1.97739i | |||||||
−37.1977 | − | 129.128i | −0.0385469 | − | 0.133811i | |||||
0 | 0 | |||||||||
278.265 | − | 74.5608i | 0.287761 | − | 0.0771053i | −0.112051 | − | 0.993702i | ||
0.399812 | + | 0.916597i | ||||||||
519.740 | + | 1939.70i | 0.536921 | + | 2.00382i | |||||
0 | 0 | |||||||||
−2474.55 | − | 1367.72i | −2.55109 | − | 1.41002i | |||||
227.938 | 0.234745 | 0.117373 | − | 0.993088i | ||||||
0.117373 | + | 0.993088i | ||||||||
0 | 0 | |||||||||
955.634 | − | 955.634i | 0.982152 | − | 0.982152i | |||||
−2230.86 | + | 1287.99i | −2.29041 | + | 1.32237i | |||||
0 | 0 | |||||||||
183.687 | − | 318.155i | 0.188203 | − | 0.325978i | |||||
−613.083 | + | 164.275i | −0.627516 | + | 0.168142i | −0.558542 | − | 0.829476i | ||
−0.0689735 | + | 0.997618i | ||||||||
0 | 0 | |||||||||
220.577 | − | 127.350i | 0.225308 | − | 0.130082i | |||||
562.365 | + | 933.345i | 0.573842 | + | 0.952393i | |||||
0 | 0 | |||||||||
−531.988 | − | 531.988i | −0.541739 | − | 0.541739i | |||||
1316.59 | + | 352.779i | 1.33936 | + | 0.358880i | 0.856196 | − | 0.516651i | ||
0.483163 | + | 0.875531i | ||||||||
0 | 0 | |||||||||
603.908 | + | 581.761i | 0.613104 | + | 0.590621i | |||||
−811.616 | + | 1405.76i | −0.823140 | + | 1.42572i | |||||
0 | 0 | |||||||||
−2630.47 | − | 704.832i | −2.66242 | − | 0.713393i | |||||
− | 2.64472i | − | 0.00267414i | |||||||
0 | 0 | |||||||||
1111.32 | 1.12141 | 0.560705 | − | 0.828016i | ||||||
0.560705 | + | 0.828016i | ||||||||
197.447 | − | 736.881i | 0.199039 | − | 0.742823i | |||||
0 | 0 | |||||||||
−1760.76 | − | 1016.58i | −1.77139 | − | 1.02271i | |||||
2.23286 | + | 119.544i | 0.00224408 | + | 0.120145i | |||||
0 | 0 | |||||||||
−164.802 | + | 615.048i | −0.165297 | + | 0.616898i | 0.832705 | + | 0.553717i | ||
−0.998002 | + | 0.0631810i | ||||||||
−842.493 | + | 842.493i | −0.844182 | + | 0.844182i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 135.3.l.a.37.10 | 40 | ||
3.2 | odd | 2 | 45.3.k.a.22.1 | yes | 40 | ||
5.3 | odd | 4 | inner | 135.3.l.a.118.1 | 40 | ||
9.2 | odd | 6 | 45.3.k.a.7.10 | ✓ | 40 | ||
9.4 | even | 3 | 405.3.g.g.82.10 | 20 | |||
9.5 | odd | 6 | 405.3.g.h.82.1 | 20 | |||
9.7 | even | 3 | inner | 135.3.l.a.127.1 | 40 | ||
15.2 | even | 4 | 225.3.o.b.193.1 | 40 | |||
15.8 | even | 4 | 45.3.k.a.13.10 | yes | 40 | ||
15.14 | odd | 2 | 225.3.o.b.157.10 | 40 | |||
45.2 | even | 12 | 225.3.o.b.43.10 | 40 | |||
45.13 | odd | 12 | 405.3.g.g.163.10 | 20 | |||
45.23 | even | 12 | 405.3.g.h.163.1 | 20 | |||
45.29 | odd | 6 | 225.3.o.b.7.1 | 40 | |||
45.38 | even | 12 | 45.3.k.a.43.1 | yes | 40 | ||
45.43 | odd | 12 | inner | 135.3.l.a.73.10 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.3.k.a.7.10 | ✓ | 40 | 9.2 | odd | 6 | ||
45.3.k.a.13.10 | yes | 40 | 15.8 | even | 4 | ||
45.3.k.a.22.1 | yes | 40 | 3.2 | odd | 2 | ||
45.3.k.a.43.1 | yes | 40 | 45.38 | even | 12 | ||
135.3.l.a.37.10 | 40 | 1.1 | even | 1 | trivial | ||
135.3.l.a.73.10 | 40 | 45.43 | odd | 12 | inner | ||
135.3.l.a.118.1 | 40 | 5.3 | odd | 4 | inner | ||
135.3.l.a.127.1 | 40 | 9.7 | even | 3 | inner | ||
225.3.o.b.7.1 | 40 | 45.29 | odd | 6 | |||
225.3.o.b.43.10 | 40 | 45.2 | even | 12 | |||
225.3.o.b.157.10 | 40 | 15.14 | odd | 2 | |||
225.3.o.b.193.1 | 40 | 15.2 | even | 4 | |||
405.3.g.g.82.10 | 20 | 9.4 | even | 3 | |||
405.3.g.g.163.10 | 20 | 45.13 | odd | 12 | |||
405.3.g.h.82.1 | 20 | 9.5 | odd | 6 | |||
405.3.g.h.163.1 | 20 | 45.23 | even | 12 |