Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,3,Mod(19,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 360.p (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: | |
Coefficient field: | 8.0.53824000000.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 40) |
Sato-Tate group: |
Embedding invariants
Embedding label | 19.7 | ||
Root | of defining polynomial | ||
Character | 360.19 | ||
Dual form | 360.3.p.g.19.8 |
-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of on generators for .
Coefficient data
For each we display the coefficients of the -expansion , the Satake parameters , and the Satake angles .
1.34500 | − | 1.48020i | 0.672499 | − | 0.740098i | |||||
0 | 0 | |||||||||
−0.381966 | − | 3.98172i | −0.0954915 | − | 0.995430i | |||||
4.35250 | + | 2.46084i | 0.870500 | + | 0.492168i | |||||
0 | 0 | |||||||||
7.67752 | 1.09679 | 0.548394 | − | 0.836220i | ||||||
0.548394 | + | 0.836220i | ||||||||
−6.40747 | − | 4.79002i | −0.800934 | − | 0.598752i | |||||
0 | 0 | |||||||||
9.49663 | − | 3.13274i | 0.949663 | − | 0.313274i | |||||
0.472136 | 0.0429215 | 0.0214607 | − | 0.999770i | ||||||
0.0214607 | + | 0.999770i | ||||||||
0 | 0 | |||||||||
4.10995 | 0.316150 | 0.158075 | − | 0.987427i | ||||||
0.158075 | + | 0.987427i | ||||||||
10.3262 | − | 11.3642i | 0.737588 | − | 0.811731i | |||||
0 | 0 | |||||||||
−15.7082 | + | 3.04176i | −0.981763 | + | 0.190110i | |||||
2.26154i | 0.133032i | 0.997785 | + | 0.0665159i | ||||||
−0.997785 | + | 0.0665159i | ||||||||
0 | 0 | |||||||||
26.3607 | 1.38740 | 0.693702 | − | 0.720262i | ||||||
0.693702 | + | 0.720262i | ||||||||
8.13587 | − | 18.2704i | 0.406793 | − | 0.913520i | |||||
0 | 0 | |||||||||
0.635021 | − | 0.698854i | 0.0288646 | − | 0.0317661i | |||||
−9.73249 | −0.423152 | −0.211576 | − | 0.977362i | ||||||
−0.211576 | + | 0.977362i | ||||||||
0 | 0 | |||||||||
12.8885 | + | 21.4216i | 0.515542 | + | 0.856864i | |||||
5.52786 | − | 6.08353i | 0.212610 | − | 0.233982i | |||||
0 | 0 | |||||||||
−2.93255 | − | 30.5697i | −0.104734 | − | 1.09178i | |||||
− | 41.6971i | − | 1.43783i | −0.695097 | − | 0.718916i | ||||
0.695097 | − | 0.718916i | ||||||||
0 | 0 | |||||||||
− | 22.0104i | − | 0.710013i | −0.934864 | − | 0.355007i | ||||
0.934864 | − | 0.355007i | ||||||||
−16.6251 | + | 27.3424i | −0.519534 | + | 0.854450i | |||||
0 | 0 | |||||||||
3.34752 | + | 3.04176i | 0.0984566 | + | 0.0894637i | |||||
33.4164 | + | 18.8931i | 0.954755 | + | 0.539804i | |||||
0 | 0 | |||||||||
−51.7449 | −1.39851 | −0.699256 | − | 0.714872i | ||||||
−0.699256 | + | 0.714872i | ||||||||
35.4550 | − | 39.0190i | 0.933027 | − | 1.02682i | |||||
0 | 0 | |||||||||
−16.1011 | − | 36.6163i | −0.402527 | − | 0.915408i | |||||
−15.0557 | −0.367213 | −0.183606 | − | 0.983000i | ||||||
−0.183606 | + | 0.983000i | ||||||||
0 | 0 | |||||||||
− | 9.31310i | − | 0.216584i | −0.994119 | − | 0.108292i | ||||
0.994119 | − | 0.108292i | ||||||||
−0.180340 | − | 1.87991i | −0.00409863 | − | 0.0427253i | |||||
0 | 0 | |||||||||
−13.0902 | + | 14.4060i | −0.284569 | + | 0.313174i | |||||
−8.76226 | −0.186431 | −0.0932156 | − | 0.995646i | ||||||
−0.0932156 | + | 0.995646i | ||||||||
0 | 0 | |||||||||
9.94427 | 0.202944 | |||||||||
49.0433 | + | 9.73442i | 0.980865 | + | 0.194688i | |||||
0 | 0 | |||||||||
−1.56986 | − | 16.3647i | −0.0301896 | − | 0.314705i | |||||
−39.9002 | −0.752834 | −0.376417 | − | 0.926450i | ||||||
−0.376417 | + | 0.926450i | ||||||||
0 | 0 | |||||||||
2.05497 | + | 1.16185i | 0.0373631 | + | 0.0211246i | |||||
−49.1935 | − | 36.7754i | −0.878455 | − | 0.656704i | |||||
0 | 0 | |||||||||
−61.7200 | − | 56.0825i | −1.06414 | − | 0.966940i | |||||
77.1935 | 1.30836 | 0.654182 | − | 0.756337i | ||||||
0.654182 | + | 0.756337i | ||||||||
0 | 0 | |||||||||
14.7650i | 0.242050i | 0.992649 | + | 0.121025i | ||||||
−0.992649 | + | 0.121025i | ||||||||
−32.5797 | − | 29.6039i | −0.525480 | − | 0.477483i | |||||
0 | 0 | |||||||||
18.1115 | + | 61.3838i | 0.282992 | + | 0.959122i | |||||
17.8885 | + | 10.1139i | 0.275208 | + | 0.155599i | |||||
0 | 0 | |||||||||
75.8395i | 1.13193i | 0.824428 | + | 0.565966i | ||||||
−0.824428 | + | 0.565966i | ||||||||
9.00482 | − | 0.863831i | 0.132424 | − | 0.0127034i | |||||
0 | 0 | |||||||||
72.9105 | − | 24.0517i | 1.04158 | − | 0.343595i | |||||
81.0705i | 1.14184i | 0.821006 | + | 0.570919i | ||||||
−0.821006 | + | 0.570919i | ||||||||
0 | 0 | |||||||||
83.4249i | 1.14281i | 0.820669 | + | 0.571403i | ||||||
−0.820669 | + | 0.571403i | ||||||||
−69.5967 | + | 76.5927i | −0.940497 | + | 1.03504i | |||||
0 | 0 | |||||||||
−10.0689 | − | 104.961i | −0.132485 | − | 1.38106i | |||||
3.62483 | 0.0470757 | |||||||||
0 | 0 | |||||||||
100.757i | 1.27541i | 0.770281 | + | 0.637704i | ||||||
−0.770281 | + | 0.637704i | ||||||||
−75.8553 | − | 25.4161i | −0.948191 | − | 0.317701i | |||||
0 | 0 | |||||||||
−20.2499 | + | 22.2854i | −0.246950 | + | 0.271774i | |||||
− | 0.266939i | − | 0.00321613i | −0.999999 | − | 0.00160806i | ||||
0.999999 | − | 0.00160806i | ||||||||
0 | 0 | |||||||||
−5.56528 | + | 9.84336i | −0.0654739 | + | 0.115804i | |||||
−13.7852 | − | 12.5261i | −0.160293 | − | 0.145652i | |||||
0 | 0 | |||||||||
−3.02520 | − | 2.26154i | −0.0343773 | − | 0.0256993i | |||||
−85.5542 | −0.961283 | −0.480641 | − | 0.876917i | ||||||
−0.480641 | + | 0.876917i | ||||||||
0 | 0 | |||||||||
31.5542 | 0.346749 | |||||||||
3.71748 | + | 38.7521i | 0.0404074 | + | 0.421218i | |||||
0 | 0 | |||||||||
−11.7852 | + | 12.9699i | −0.125375 | + | 0.137977i | |||||
114.735 | + | 64.8694i | 1.20774 | + | 0.682836i | |||||
0 | 0 | |||||||||
99.1297i | 1.02196i | 0.859594 | + | 0.510978i | ||||||
−0.859594 | + | 0.510978i | ||||||||
13.3750 | − | 14.7195i | 0.136480 | − | 0.150199i | |||||
0 | 0 | |||||||||
80.3719 | − | 59.5009i | 0.803719 | − | 0.595009i | |||||
− | 105.405i | − | 1.04361i | −0.853065 | − | 0.521805i | ||||
0.853065 | − | 0.521805i | ||||||||
0 | 0 | |||||||||
101.863 | 0.988958 | 0.494479 | − | 0.869190i | ||||||
0.494479 | + | 0.869190i | ||||||||
−26.3344 | − | 19.6867i | −0.253215 | − | 0.189295i | |||||
0 | 0 | |||||||||
−53.6656 | + | 59.0601i | −0.506280 | + | 0.557171i | |||||
− | 32.9962i | − | 0.308376i | −0.988042 | − | 0.154188i | ||||
0.988042 | − | 0.154188i | ||||||||
0 | 0 | |||||||||
− | 181.554i | − | 1.66563i | −0.553552 | − | 0.832814i | ||||
0.553552 | − | 0.832814i | ||||||||
4.48370 | − | 1.47908i | 0.0407609 | − | 0.0134462i | |||||
0 | 0 | |||||||||
−120.600 | + | 23.3532i | −1.07679 | + | 0.208511i | |||||
76.6403i | 0.678233i | 0.940744 | + | 0.339116i | ||||||
−0.940744 | + | 0.339116i | ||||||||
0 | 0 | |||||||||
−42.3607 | − | 23.9501i | −0.368354 | − | 0.208262i | |||||
−166.026 | + | 15.9269i | −1.43126 | + | 0.137301i | |||||
0 | 0 | |||||||||
103.825 | − | 114.262i | 0.879873 | − | 0.968318i | |||||
17.3630i | 0.145908i | |||||||||
0 | 0 | |||||||||
−120.777 | −0.998158 | |||||||||
21.8552 | + | 19.8589i | 0.179141 | + | 0.162778i | |||||
0 | 0 | |||||||||
−87.6393 | + | 8.40723i | −0.706769 | + | 0.0678002i | |||||
3.38228 | + | 124.954i | 0.0270582 | + | 0.999634i | |||||
0 | 0 | |||||||||
−142.962 | −1.12569 | −0.562843 | − | 0.826564i | ||||||
−0.562843 | + | 0.826564i | ||||||||
115.220 | + | 55.7526i | 0.900156 | + | 0.435567i | |||||
0 | 0 | |||||||||
39.0306 | − | 12.8754i | 0.300236 | − | 0.0990414i | |||||
−110.138 | −0.840746 | −0.420373 | − | 0.907351i | ||||||
−0.420373 | + | 0.907351i | ||||||||
0 | 0 | |||||||||
202.385 | 1.52169 | |||||||||
112.257 | + | 102.004i | 0.837741 | + | 0.761223i | |||||
0 | 0 | |||||||||
10.8328 | − | 14.4908i | 0.0796531 | − | 0.106550i | |||||
225.398i | 1.64524i | 0.568592 | + | 0.822620i | ||||||
−0.568592 | + | 0.822620i | ||||||||
0 | 0 | |||||||||
97.4164 | 0.700837 | 0.350419 | − | 0.936593i | ||||||
0.350419 | + | 0.936593i | ||||||||
62.4633 | − | 140.271i | 0.446166 | − | 1.00194i | |||||
0 | 0 | |||||||||
120.000 | + | 109.040i | 0.845073 | + | 0.767885i | |||||
1.94045 | 0.0135696 | |||||||||
0 | 0 | |||||||||
102.610 | − | 181.487i | 0.707655 | − | 1.25163i | |||||
123.485 | + | 112.206i | 0.845790 | + | 0.768536i | |||||
0 | 0 | |||||||||
19.7648 | + | 206.034i | 0.133546 | + | 1.39212i | |||||
− | 191.397i | − | 1.28454i | −0.766477 | − | 0.642271i | ||||
0.766477 | − | 0.642271i | ||||||||
0 | 0 | |||||||||
68.3549i | 0.452682i | 0.974048 | + | 0.226341i | ||||||
−0.974048 | + | 0.226341i | ||||||||
−168.905 | − | 126.268i | −1.11122 | − | 0.830711i | |||||
0 | 0 | |||||||||
4.87539 | − | 5.36547i | 0.0316584 | − | 0.0348407i | |||||
54.1641 | − | 95.8004i | 0.349446 | − | 0.618067i | |||||
0 | 0 | |||||||||
−155.235 | −0.988756 | −0.494378 | − | 0.869247i | ||||||
−0.494378 | + | 0.869247i | ||||||||
149.141 | + | 135.518i | 0.943928 | + | 0.857710i | |||||
0 | 0 | |||||||||
−139.646 | + | 78.0962i | −0.872787 | + | 0.488101i | |||||
−74.7214 | −0.464108 | |||||||||
0 | 0 | |||||||||
− | 90.4765i | − | 0.555070i | −0.960715 | − | 0.277535i | ||||
0.960715 | − | 0.277535i | ||||||||
5.75078 | + | 59.9477i | 0.0350657 | + | 0.365535i | |||||
0 | 0 | |||||||||
−0.395122 | − | 0.359032i | −0.00238025 | − | 0.00216284i | |||||
100.778 | 0.603461 | 0.301730 | − | 0.953393i | ||||||
0.301730 | + | 0.953393i | ||||||||
0 | 0 | |||||||||
−152.108 | −0.900049 | |||||||||
7.08481 | + | 21.4770i | 0.0416754 | + | 0.126335i | |||||
0 | 0 | |||||||||
−37.0822 | + | 3.55729i | −0.215594 | + | 0.0206819i | |||||
−54.6556 | −0.315928 | −0.157964 | − | 0.987445i | ||||||
−0.157964 | + | 0.987445i | ||||||||
0 | 0 | |||||||||
98.9520 | + | 164.465i | 0.565440 | + | 0.939799i | |||||
−7.41641 | + | 1.43613i | −0.0421387 | + | 0.00815981i | |||||
0 | 0 | |||||||||
−115.070 | + | 126.637i | −0.646461 | + | 0.711444i | |||||
106.807 | 0.596684 | 0.298342 | − | 0.954459i | ||||||
0.298342 | + | 0.954459i | ||||||||
0 | 0 | |||||||||
144.778i | 0.799879i | 0.916542 | + | 0.399939i | ||||||
−0.916542 | + | 0.399939i | ||||||||
42.4403 | − | 46.7064i | 0.233188 | − | 0.256629i | |||||
0 | 0 | |||||||||
62.3607 | + | 46.6188i | 0.338917 | + | 0.253363i | |||||
−225.220 | − | 127.336i | −1.21740 | − | 0.688302i | |||||
0 | 0 | |||||||||
1.06775i | 0.00570992i | |||||||||
3.34689 | + | 34.8889i | 0.0178026 | + | 0.185579i | |||||
0 | 0 | |||||||||
250.338 | − | 82.5811i | 1.31757 | − | 0.434638i | |||||
210.809i | 1.10371i | 0.833939 | + | 0.551857i | ||||||
−0.833939 | + | 0.551857i | ||||||||
0 | 0 | |||||||||
− | 108.176i | − | 0.560496i | −0.959928 | − | 0.280248i | ||||
0.959928 | − | 0.280248i | ||||||||
146.731 | + | 133.329i | 0.756347 | + | 0.687263i | |||||
0 | 0 | |||||||||
−3.79837 | − | 39.5953i | −0.0193795 | − | 0.202017i | |||||
−308.300 | −1.56497 | −0.782487 | − | 0.622667i | ||||||
−0.782487 | + | 0.622667i | ||||||||
0 | 0 | |||||||||
− | 247.859i | − | 1.24552i | −0.782412 | − | 0.622761i | ||||
0.782412 | − | 0.622761i | ||||||||
20.0269 | − | 198.995i | 0.100134 | − | 0.994974i | |||||
0 | 0 | |||||||||
−156.020 | − | 141.769i | −0.772375 | − | 0.701826i | |||||
− | 320.130i | − | 1.57700i | |||||||
0 | 0 | |||||||||
−65.5301 | − | 37.0497i | −0.319659 | − | 0.180730i | |||||
137.005 | − | 150.777i | 0.665073 | − | 0.731926i | |||||
0 | 0 | |||||||||
−64.5599 | + | 12.5015i | −0.310384 | + | 0.0601033i | |||||
12.4458 | 0.0595494 | |||||||||
0 | 0 | |||||||||
230.584 | 1.09281 | 0.546407 | − | 0.837520i | ||||||
0.546407 | + | 0.837520i | ||||||||
15.2405 | + | 158.871i | 0.0718892 | + | 0.749393i | |||||
0 | 0 | |||||||||
−48.8409 | − | 44.3799i | −0.228229 | − | 0.207383i | |||||
22.9180 | − | 40.5353i | 0.106595 | − | 0.188536i | |||||
0 | 0 | |||||||||
− | 168.985i | − | 0.778734i | |||||||
−268.735 | − | 244.189i | −1.23273 | − | 1.12013i | |||||
0 | 0 | |||||||||
3.84123 | − | 8.62611i | 0.0174602 | − | 0.0392096i | |||||
9.29480i | 0.0420579i | |||||||||
0 | 0 | |||||||||
−177.782 | −0.797229 | −0.398615 | − | 0.917118i | ||||||
−0.398615 | + | 0.917118i | ||||||||
−127.639 | + | 209.922i | −0.569818 | + | 0.937151i | |||||
0 | 0 | |||||||||
113.443 | + | 103.081i | 0.501959 | + | 0.456110i | |||||
203.301i | 0.895601i | 0.894134 | + | 0.447800i | ||||||
−0.894134 | + | 0.447800i | ||||||||
0 | 0 | |||||||||
− | 81.0705i | − | 0.354020i | −0.984209 | − | 0.177010i | ||||
0.984209 | − | 0.177010i | ||||||||
−92.4258 | + | 30.4893i | −0.401851 | + | 0.132562i | |||||
0 | 0 | |||||||||
−199.730 | + | 267.173i | −0.860905 | + | 1.15161i | |||||
− | 56.2864i | − | 0.241573i | −0.992679 | − | 0.120786i | ||||
0.992679 | − | 0.120786i | ||||||||
0 | 0 | |||||||||
−38.1378 | − | 21.5625i | −0.162288 | − | 0.0917554i | |||||
−29.4853 | − | 307.363i | −0.124938 | − | 1.30239i | |||||
0 | 0 | |||||||||
25.7007 | + | 23.3532i | 0.107986 | + | 0.0981227i | |||||
− | 360.235i | − | 1.50726i | −0.657300 | − | 0.753629i | ||||
0.657300 | − | 0.753629i | ||||||||
0 | 0 | |||||||||
−197.495 | −0.819483 | −0.409741 | − | 0.912202i | ||||||
−0.409741 | + | 0.912202i | ||||||||
−162.445 | + | 178.774i | −0.671260 | + | 0.738735i | |||||
0 | 0 | |||||||||
58.7902 | − | 5.63974i | 0.240944 | − | 0.0231137i | |||||
43.2825 | + | 24.4713i | 0.176663 | + | 0.0998827i | |||||
0 | 0 | |||||||||
108.341 | 0.438627 | |||||||||
−105.430 | + | 141.031i | −0.425122 | + | 0.568674i | |||||
0 | 0 | |||||||||
189.506 | + | 163.057i | 0.758024 | + | 0.652227i | |||||
178.361 | 0.710600 | 0.355300 | − | 0.934752i | ||||||
0.355300 | + | 0.934752i | ||||||||
0 | 0 | |||||||||
−4.59506 | −0.0181623 | |||||||||
−192.284 | + | 211.612i | −0.757022 | + | 0.833119i | |||||
0 | 0 | |||||||||
237.495 | − | 95.5613i | 0.927716 | − | 0.373286i | |||||
− | 453.183i | − | 1.76336i | −0.471849 | − | 0.881679i | ||||
0.471849 | − | 0.881679i | ||||||||
0 | 0 | |||||||||
−397.272 | −1.53387 | |||||||||
33.4380 | − | 75.0904i | 0.128608 | − | 0.288809i | |||||
0 | 0 | |||||||||
−148.135 | + | 163.026i | −0.565401 | + | 0.622235i | |||||
21.0921 | 0.0801981 | 0.0400990 | − | 0.999196i | ||||||
0.0400990 | + | 0.999196i | ||||||||
0 | 0 | |||||||||
−173.666 | − | 98.1879i | −0.655342 | − | 0.370520i | |||||
272.207 | − | 299.569i | 1.02333 | − | 1.12620i | |||||
0 | 0 | |||||||||
301.972 | − | 28.9681i | 1.12676 | − | 0.108090i | |||||
− | 92.4148i | − | 0.343549i | −0.985136 | − | 0.171775i | ||||
0.985136 | − | 0.171775i | ||||||||
0 | 0 | |||||||||
− | 188.799i | − | 0.696675i | −0.937369 | − | 0.348337i | ||||
0.937369 | − | 0.348337i | ||||||||
−6.87907 | − | 35.5247i | −0.0252907 | − | 0.130606i | |||||
0 | 0 | |||||||||
333.633 | + | 303.159i | 1.21764 | + | 1.10642i | |||||
6.08514 | + | 10.1139i | 0.0221278 | + | 0.0367779i | |||||
0 | 0 | |||||||||
−70.1251 | −0.253159 | −0.126580 | − | 0.991956i | ||||||
−0.126580 | + | 0.991956i | ||||||||
131.025 | − | 144.195i | 0.471312 | − | 0.518689i | |||||
0 | 0 | |||||||||
−123.616 | − | 281.122i | −0.441487 | − | 1.00401i | |||||
506.269 | 1.80167 | 0.900835 | − | 0.434161i | ||||||
0.900835 | + | 0.434161i | ||||||||
0 | 0 | |||||||||
− | 501.350i | − | 1.77156i | −0.464110 | − | 0.885778i | ||||
0.464110 | − | 0.885778i | ||||||||
322.800 | − | 30.9662i | 1.13662 | − | 0.109036i | |||||
0 | 0 | |||||||||
2.60990 | − | 2.87225i | 0.00912554 | − | 0.0100428i | |||||
−115.591 | −0.402755 | |||||||||
0 | 0 | |||||||||
283.885 | 0.982303 | |||||||||
−130.626 | − | 395.982i | −0.450435 | − | 1.36546i | |||||
0 | 0 | |||||||||
332.175 | − | 31.8655i | 1.13758 | − | 0.109128i | |||||
324.026 | 1.10589 | 0.552945 | − | 0.833218i | ||||||
0.552945 | + | 0.833218i | ||||||||
0 | 0 | |||||||||
335.985 | + | 189.961i | 1.13893 | + | 0.643935i | |||||
331.554 | + | 247.859i | 1.12012 | + | 0.837362i | |||||
0 | 0 | |||||||||
−283.305 | − | 257.428i | −0.950688 | − | 0.863853i | |||||
−40.0000 | −0.133779 | |||||||||
0 | 0 | |||||||||
− | 71.5015i | − | 0.237546i | |||||||
101.179 | + | 91.9372i | 0.335029 | + | 0.304428i | |||||
0 | 0 | |||||||||
−414.079 | + | 80.1830i | −1.36210 | + | 0.263760i | |||||
−36.3344 | + | 64.2648i | −0.119129 | + | 0.210704i | |||||
0 | 0 | |||||||||
− | 9.84697i | − | 0.0320748i | −0.999871 | − | 0.0160374i | ||||
0.999871 | − | 0.0160374i | ||||||||
−1.38456 | − | 14.4331i | −0.00449533 | − | 0.0468606i | |||||
0 | 0 | |||||||||
−68.9529 | − | 209.025i | −0.222429 | − | 0.674273i | |||||
200.417i | 0.644429i | 0.946667 | + | 0.322214i | ||||||
−0.946667 | + | 0.322214i | ||||||||
0 | 0 | |||||||||
261.582i | 0.835727i | 0.908510 | + | 0.417863i | ||||||
−0.908510 | + | 0.417863i | ||||||||
−208.790 | + | 229.778i | −0.664937 | + | 0.731777i | |||||
0 | 0 | |||||||||
401.187 | − | 38.4858i | 1.26958 | − | 0.121791i | |||||
322.341 | 1.01685 | 0.508425 | − | 0.861107i | ||||||
0.508425 | + | 0.861107i | ||||||||
0 | 0 | |||||||||
− | 19.6867i | − | 0.0617138i | |||||||
−72.2256 | + | 311.743i | −0.225705 | + | 0.974196i | |||||
0 | 0 | |||||||||
−100.500 | + | 110.602i | −0.312112 | + | 0.343485i | |||||
59.6157i | 0.184569i | |||||||||
0 | 0 | |||||||||
52.9712 | + | 88.0416i | 0.162988 | + | 0.270897i | |||||
−133.923 | − | 121.691i | −0.410807 | − | 0.373284i | |||||
0 | 0 | |||||||||
96.4692 | + | 72.1172i | 0.294113 | + | 0.219870i | |||||
−67.2724 | −0.204475 | |||||||||
0 | 0 | |||||||||
−61.0883 | −0.184557 | −0.0922783 | − | 0.995733i | ||||||
−0.0922783 | + | 0.995733i | ||||||||
−1.06287 | + | 0.101961i | −0.00320143 | + | 0.000307113i | |||||
0 | 0 | |||||||||
135.546 | − | 149.171i | 0.405826 | − | 0.446620i | |||||
−186.629 | + | 330.091i | −0.557101 | + | 0.985348i | |||||
0 | 0 | |||||||||
114.960i | 0.341129i | 0.985347 | + | 0.170564i | ||||||
−0.985347 | + | 0.170564i | ||||||||
−204.585 | + | 225.150i | −0.605282 | + | 0.666125i | |||||
0 | 0 | |||||||||
41.3192 | + | 18.3996i | 0.121527 | + | 0.0541164i | |||||
− | 10.3919i | − | 0.0304748i | |||||||
0 | 0 | |||||||||
−299.851 | −0.874201 | |||||||||
−44.6099 | + | 59.6734i | −0.129680 | + | 0.173469i | |||||
0 | 0 | |||||||||
−73.5116 | + | 80.9010i | −0.212461 | + | 0.233818i | |||||
− | 143.967i | − | 0.414892i | −0.978246 | − | 0.207446i | ||||
0.978246 | − | 0.207446i | ||||||||
0 | 0 | |||||||||
− | 35.9526i | − | 0.103016i | −0.998673 | − | 0.0515080i | ||||
0.998673 | − | 0.0515080i | ||||||||
376.530 | + | 74.7362i | 1.07580 | + | 0.213532i | |||||
0 | 0 | |||||||||
−7.84930 | + | 12.9093i | −0.0222991 | + | 0.0366742i | |||||
252.536i | 0.715400i | 0.933837 | + | 0.357700i | ||||||
−0.933837 | + | 0.357700i | ||||||||
0 | 0 | |||||||||
−199.502 | + | 352.860i | −0.561976 | + | 0.993971i | |||||
32.6788 | + | 340.653i | 0.0917943 | + | 0.956890i | |||||
0 | 0 | |||||||||
143.654 | − | 158.095i | 0.401269 | − | 0.441605i | |||||
− | 594.152i | − | 1.65502i | −0.561452 | − | 0.827509i | ||||
0.561452 | − | 0.827509i | ||||||||
0 | 0 | |||||||||
333.885 | 0.924890 | |||||||||
214.300 | + | 194.726i | 0.591989 | + | 0.537917i | |||||
0 | 0 | |||||||||
−12.0526 | − | 125.640i | −0.0331116 | − | 0.345165i | |||||
−205.295 | + | 363.107i | −0.562453 | + | 0.994814i | |||||
0 | 0 | |||||||||
88.9062 | 0.242251 | 0.121126 | − | 0.992637i | ||||||
0.121126 | + | 0.992637i | ||||||||
152.880 | − | 29.6039i | 0.415435 | − | 0.0804455i | |||||
0 | 0 | |||||||||
−491.402 | + | 162.103i | −1.32811 | + | 0.438117i | |||||
−306.334 | −0.825699 | |||||||||
0 | 0 | |||||||||
83.6542 | 0.224274 | 0.112137 | − | 0.993693i | ||||||
0.112137 | + | 0.993693i | ||||||||
1.58049 | + | 1.43613i | 0.00422590 | + | 0.00383991i | |||||
0 | 0 | |||||||||
56.1440 | + | 41.9714i | 0.149319 | + | 0.111626i | |||||
− | 171.373i | − | 0.454570i | |||||||
0 | 0 | |||||||||
−135.135 | −0.356556 | −0.178278 | − | 0.983980i | ||||||
−0.178278 | + | 0.983980i | ||||||||
214.467 | − | 481.620i | 0.564387 | − | 1.26742i | |||||
0 | 0 | |||||||||
312.039 | + | 283.538i | 0.816857 | + | 0.742246i | |||||
−498.526 | −1.30164 | −0.650818 | − | 0.759234i | ||||||
−0.650818 | + | 0.759234i | ||||||||
0 | 0 | |||||||||
15.7771 | + | 8.92013i | 0.0409794 | + | 0.0231692i | |||||
−160.122 | − | 145.496i | −0.414823 | − | 0.376933i | |||||
0 | 0 | |||||||||
394.707 | − | 37.8642i | 1.01729 | − | 0.0975880i | |||||
− | 308.420i | − | 0.792854i | −0.918066 | − | 0.396427i | ||||
0.918066 | − | 0.396427i | ||||||||
0 | 0 | |||||||||
− | 22.0104i | − | 0.0562926i | |||||||
−63.7177 | − | 47.6332i | −0.162545 | − | 0.121513i | |||||
0 | 0 | |||||||||
−414.663 | + | 456.345i | −1.05244 | + | 1.15824i | |||||
−247.947 | + | 438.546i | −0.627715 | + | 1.11024i | |||||
0 | 0 | |||||||||
297.682 | 0.749828 | 0.374914 | − | 0.927060i | ||||||
0.374914 | + | 0.927060i | ||||||||
−366.880 | − | 333.370i | −0.921810 | − | 0.837612i | |||||
0 | 0 | |||||||||
−267.615 | − | 297.291i | −0.669038 | − | 0.743228i | |||||
−148.663 | −0.370729 | −0.185365 | − | 0.982670i | ||||||
−0.185365 | + | 0.982670i | ||||||||
0 | 0 | |||||||||
− | 90.4616i | − | 0.224470i | |||||||
−419.692 | + | 40.2610i | −1.03884 | + | 0.0996559i | |||||
0 | 0 | |||||||||
−473.856 | − | 430.574i | −1.16713 | − | 1.06053i | |||||
−24.4306 | −0.0600261 | |||||||||
0 | 0 | |||||||||
442.387 | 1.08163 | 0.540815 | − | 0.841141i | ||||||
0.540815 | + | 0.841141i | ||||||||
−142.979 | + | 47.1657i | −0.348728 | + | 0.115038i | |||||
0 | 0 | |||||||||
−38.9081 | − | 405.589i | −0.0944371 | − | 0.984439i | |||||
592.654 | 1.43500 | |||||||||
0 | 0 | |||||||||
0.656893 | − | 1.16185i | 0.00158287 | − | 0.00279964i | |||||
−68.3282 | + | 112.376i | −0.164250 | + | 0.270134i | |||||
0 | 0 | |||||||||
16.7396 | − | 18.4223i | 0.0400469 | − | 0.0440724i | |||||
−536.184 | −1.27968 | −0.639838 | − | 0.768510i | ||||||
−0.639838 | + | 0.768510i | ||||||||
0 | 0 | |||||||||
514.582i | 1.22228i | 0.791521 | + | 0.611142i | ||||||
−0.791521 | + | 0.611142i | ||||||||
310.134 | − | 341.309i | 0.734915 | − | 0.808789i | |||||
0 | 0 | |||||||||
255.659 | + | 191.123i | 0.602970 | + | 0.450761i | |||||
−48.4458 | + | 29.1480i | −0.113990 | + | 0.0685834i | |||||
0 | 0 | |||||||||
113.359i | 0.265477i | |||||||||
−131.382 | + | 12.6034i | −0.306967 | + | 0.0294473i | |||||
0 | 0 | |||||||||
−29.1755 | − | 88.4430i | −0.0678500 | − | 0.205681i | |||||
86.8151i | 0.201427i | 0.994915 | + | 0.100714i | ||||||
−0.994915 | + | 0.100714i | ||||||||
0 | 0 | |||||||||
494.017i | 1.14092i | 0.821327 | + | 0.570458i | ||||||
−0.821327 | + | 0.570458i | ||||||||
−250.132 | − | 227.285i | −0.576340 | − | 0.523698i | |||||
0 | 0 | |||||||||
−722.895 | + | 69.3473i | −1.65802 | + | 0.159053i | |||||
−256.555 | −0.587082 | |||||||||
0 | 0 | |||||||||
− | 524.700i | − | 1.19522i | −0.801789 | − | 0.597608i | ||||
0.801789 | − | 0.597608i | ||||||||
−7.60190 | − | 17.2879i | −0.0172770 | − | 0.0392906i | |||||
0 | 0 | |||||||||
13.7581 | + | 12.5015i | 0.0311270 | + | 0.0282839i | |||||
496.575i | 1.12094i | 0.828176 | + | 0.560469i | ||||||
−0.828176 | + | 0.560469i | ||||||||
0 | 0 | |||||||||
−372.375 | − | 210.535i | −0.836797 | − | 0.473112i | |||||
−239.116 | + | 263.153i | −0.536136 | + | 0.590028i | |||||
0 | 0 | |||||||||
139.051 | + | 471.275i | 0.310382 | + | 1.05195i | |||||
332.158 | 0.739773 | 0.369886 | − | 0.929077i | ||||||
0.369886 | + | 0.929077i | ||||||||
0 | 0 | |||||||||
−7.10835 | −0.0157613 | |||||||||
305.160 | − | 29.2740i | 0.675133 | − | 0.0647655i | |||||
0 | 0 | |||||||||
300.926 | + | 273.440i | 0.662833 | + | 0.602290i | |||||
137.340 | + | 77.6497i | 0.301845 | + | 0.170659i | |||||
0 | 0 | |||||||||
− | 252.788i | − | 0.553147i | −0.960993 | − | 0.276574i | ||||
0.960993 | − | 0.276574i | ||||||||
−120.000 | − | 109.040i | −0.262010 | − | 0.238078i | |||||
0 | 0 | |||||||||
−79.1822 | + | 177.817i | −0.172135 | + | 0.386558i | |||||
832.716i | 1.80633i | 0.429299 | + | 0.903163i | ||||||
−0.429299 | + | 0.903163i | ||||||||
0 | 0 | |||||||||
−854.205 | −1.84494 | −0.922468 | − | 0.386074i | ||||||
−0.922468 | + | 0.386074i | ||||||||
126.833 | + | 654.987i | 0.273347 | + | 1.41161i | |||||
0 | 0 | |||||||||
−83.3150 | − | 75.7051i | −0.178788 | − | 0.162457i | |||||
102.726i | 0.219970i | 0.993933 | + | 0.109985i | ||||||
−0.993933 | + | 0.109985i | ||||||||
0 | 0 | |||||||||
582.259i | 1.24149i | |||||||||
−83.2120 | + | 27.4499i | −0.177047 | + | 0.0584040i | |||||
0 | 0 | |||||||||
−494.615 | − | 369.758i | −1.04791 | − | 0.783386i | |||||
− | 4.39705i | − | 0.00929608i | |||||||
0 | 0 | |||||||||
339.751 | + | 564.688i | 0.715265 | + | 1.18882i | |||||
69.1347 | − | 6.63208i | 0.145241 | − | 0.0139329i | |||||
0 | 0 | |||||||||
−533.218 | − | 484.515i | −1.11552 | − | 1.01363i | |||||
− | 268.772i | − | 0.561111i | −0.959838 | − | 0.280556i | ||||
0.959838 | − | 0.280556i | ||||||||
0 | 0 | |||||||||
−212.669 | −0.442139 | |||||||||
−265.631 | + | 292.332i | −0.551101 | + | 0.606498i | |||||
0 | 0 | |||||||||
46.1327 | + | 480.901i | 0.0953156 | + | 0.993596i | |||||
−243.942 | + | 431.462i | −0.502973 | + | 0.889612i | |||||
0 | 0 | |||||||||
504.065 | 1.03504 | 0.517520 | − | 0.855671i | ||||||
0.517520 | + | 0.855671i | ||||||||
70.7248 | − | 94.6066i | 0.144928 | − | 0.193866i | |||||
0 | 0 | |||||||||
94.4371 | − | 31.1528i | 0.192729 | − | 0.0635772i | |||||
−130.020 | −0.264807 | −0.132403 | − | 0.991196i | ||||||
−0.132403 | + | 0.991196i | ||||||||
0 | 0 | |||||||||
94.2997 | 0.191277 | |||||||||
145.718 | − | 160.366i | 0.294976 | − | 0.324627i | |||||
0 | 0 | |||||||||
66.9505 | + | 345.744i | 0.134981 | + | 0.697065i | |||||
622.421i | 1.25236i | |||||||||
0 | 0 | |||||||||
664.184 | 1.33103 | 0.665515 | − | 0.746384i | ||||||
0.665515 | + | 0.746384i | ||||||||
496.241 | − | 61.1955i | 0.992482 | − | 0.122391i | |||||
0 | 0 | |||||||||
239.895 | − | 264.009i | 0.477878 | − | 0.525914i | |||||
550.015 | 1.09347 | 0.546735 | − | 0.837306i | ||||||
0.546735 | + | 0.837306i | ||||||||
0 | 0 | |||||||||
259.384 | − | 458.774i | 0.513631 | − | 0.908463i | |||||
−6.18034 | + | 6.80159i | −0.0122141 | + | 0.0134419i | |||||
0 | 0 | |||||||||
54.6067 | + | 569.235i | 0.107493 | + | 1.12054i | |||||
349.843i | 0.687314i | 0.939095 | + | 0.343657i | ||||||
−0.939095 | + | 0.343657i | ||||||||
0 | 0 | |||||||||
640.496i | 1.25342i | |||||||||
177.981 | − | 480.070i | 0.347619 | − | 0.937636i | |||||
0 | 0 | |||||||||
−670.800 | − | 609.530i | −1.30506 | − | 1.18586i | |||||
443.358 | + | 250.668i | 0.860888 | + | 0.486733i | |||||
0 | 0 | |||||||||
−4.13698 | −0.00800189 | |||||||||
−534.330 | + | 588.041i | −1.03153 | + | 1.13522i | |||||
0 | 0 | |||||||||
−66.1746 | − | 150.491i | −0.127259 | − | 0.289406i | |||||
−29.7771 | −0.0571537 | −0.0285769 | − | 0.999592i | ||||||
−0.0285769 | + | 0.999592i | ||||||||
0 | 0 | |||||||||
603.023i | 1.15301i | 0.817094 | + | 0.576504i | ||||||
−0.817094 | + | 0.576504i | ||||||||
42.0689 | + | 438.538i | 0.0802841 | + | 0.836904i | |||||
0 | 0 | |||||||||
28.3688 | − | 31.2205i | 0.0539331 | − | 0.0593545i | |||||
49.7774 | 0.0944543 | |||||||||
0 | 0 | |||||||||
−434.279 | −0.820943 | |||||||||
−378.917 | + | 124.997i | −0.714938 | + | 0.235843i | |||||
0 | 0 | |||||||||
−77.3040 | − | 805.839i | −0.145308 | − | 1.51473i | |||||
−61.8782 | −0.116094 | |||||||||
0 | 0 | |||||||||
81.1985 | − | 143.616i | 0.151773 | − | 0.268442i | |||||
363.272 | − | 485.939i | 0.677747 | − | 0.906603i | |||||
0 | 0 | |||||||||
−136.792 | − | 124.298i | −0.254260 | − | 0.231036i | |||||
4.69505 | 0.00871066 | |||||||||
0 | 0 | |||||||||
− | 163.368i | − | 0.301974i | −0.988536 | − | 0.150987i | ||||
0.988536 | − | 0.150987i | ||||||||
−279.460 | − | 253.934i | −0.515608 | − | 0.468513i | |||||
0 | 0 | |||||||||
−61.8359 | − | 37.5983i | −0.113669 | − | 0.0691145i | |||||
446.774 | − | 790.212i | 0.819769 | − | 1.44993i | |||||
0 | 0 | |||||||||
524.218i | 0.958350i | 0.877719 | + | 0.479175i | ||||||
−0.877719 | + | 0.479175i | ||||||||
897.471 | − | 86.0943i | 1.63772 | − | 0.157106i | |||||
0 | 0 | |||||||||
23.1551 | + | 4.59597i | 0.0421002 | + | 0.00835631i | |||||
− | 1099.16i | − | 1.99485i | |||||||
0 | 0 | |||||||||
773.566i | 1.39885i | |||||||||
−94.3181 | + | 103.799i | −0.170249 | + | 0.187363i | |||||
0 | 0 | |||||||||
−37.2098 | − | 387.885i | −0.0669240 | − | 0.697635i | |||||
589.515 | 1.05837 | 0.529187 | − | 0.848505i | ||||||
0.529187 | + | 0.848505i | ||||||||
0 | 0 | |||||||||
− | 38.2763i | − | 0.0684728i | |||||||
−582.380 | − | 195.132i | −1.03996 | − | 0.348451i | |||||
0 | 0 | |||||||||
680.931 | − | 749.378i | 1.21162 | − | 1.33341i | |||||
− | 557.763i | − | 0.990698i | −0.868694 | − | 0.495349i | ||||
0.868694 | − | 0.495349i | ||||||||
0 | 0 | |||||||||
−188.599 | + | 333.577i | −0.333804 | + | 0.590402i | |||||
−742.097 | − | 674.315i | −1.31113 | − | 1.19137i | |||||
0 | 0 | |||||||||
388.329 | − | 519.457i | 0.683678 | − | 0.914538i | |||||
542.715 | 0.953805 | 0.476903 | − | 0.878956i | ||||||
0.476903 | + | 0.878956i | ||||||||
0 | 0 | |||||||||
−476.695 | −0.834842 | −0.417421 | − | 0.908713i | ||||||
−0.417421 | + | 0.908713i | ||||||||
−0.741187 | − | 7.72634i | −0.00129578 | − | 0.0135076i | |||||
0 | 0 | |||||||||
−155.469 | + | 171.097i | −0.270852 | + | 0.298078i | |||||
−125.438 | − | 208.486i | −0.218152 | − | 0.362584i | |||||
0 | 0 | |||||||||
− | 865.659i | − | 1.50027i | −0.661282 | − | 0.750137i | ||||
0.661282 | − | 0.750137i | ||||||||
381.825 | − | 420.206i | 0.660597 | − | 0.727001i | |||||
0 | 0 | |||||||||
−761.823 | − | 339.242i | −1.31349 | − | 0.584900i | |||||
− | 2.04943i | − | 0.00352741i | |||||||
0 | 0 | |||||||||
−18.8383 | −0.0323127 | |||||||||
399.607 | − | 534.543i | 0.684258 | − | 0.915313i | |||||
0 | 0 | |||||||||
435.813 | − | 479.622i | 0.743709 | − | 0.818467i | |||||
567.091i | 0.966083i | 0.875597 | + | 0.483041i | ||||||
−0.875597 | + | 0.483041i | ||||||||
0 | 0 | |||||||||
− | 580.209i | − | 0.985075i | |||||||
733.078 | − | 241.827i | 1.24250 | − | 0.409876i | |||||
0 | 0 | |||||||||
812.820 | − | 157.396i | 1.37301 | − | 0.265871i | |||||
421.774i | 0.711254i | 0.934628 | + | 0.355627i | ||||||
−0.934628 | + | 0.355627i | ||||||||
0 | 0 | |||||||||
−42.7276 | + | 75.5725i | −0.0718110 | + | 0.127013i | |||||
−762.089 | + | 73.1071i | −1.27867 | + | 0.122663i | |||||
0 | 0 | |||||||||
−53.7999 | + | 59.2079i | −0.0899664 | + | 0.0990098i | |||||
− | 120.444i | − | 0.201075i | −0.994933 | − | 0.100538i | ||||
0.994933 | − | 0.100538i | ||||||||
0 | 0 | |||||||||
340.158 | 0.565986 | 0.282993 | − | 0.959122i | ||||||
0.282993 | + | 0.959122i | ||||||||
−105.836 | − | 96.1693i | −0.175808 | − | 0.159750i | |||||
0 | 0 | |||||||||
272.170 | − | 26.1093i | 0.450613 | − | 0.0432273i | |||||
−525.682 | − | 297.213i | −0.868897 | − | 0.491261i | |||||
0 | 0 | |||||||||
115.621 | 0.190479 | 0.0952396 | − | 0.995454i | ||||||
0.0952396 | + | 0.995454i | ||||||||
−438.248 | + | 720.764i | −0.720803 | + | 1.18547i | |||||
0 | 0 | |||||||||
46.2550 | + | 140.218i | 0.0758279 | + | 0.229866i | |||||
−36.0124 | −0.0589401 | |||||||||
0 | 0 | |||||||||
1095.63 | 1.78733 | 0.893663 | − | 0.448738i | ||||||
0.893663 | + | 0.448738i | ||||||||
−14.5755 | − | 13.2442i | −0.0237385 | − | 0.0215703i | |||||
0 | 0 | |||||||||
−23.2260 | − | 17.3630i | −0.0377046 | − | 0.0281867i | |||||
− | 716.775i | − | 1.16171i | −0.814007 | − | 0.580855i | ||||
0.814007 | − | 0.580855i | ||||||||
0 | 0 | |||||||||
118.584 | 0.191573 | 0.0957864 | − | 0.995402i | ||||||
0.0957864 | + | 0.995402i | ||||||||
−402.139 | − | 179.074i | −0.648612 | − | 0.288829i | |||||
0 | 0 | |||||||||
296.657 | + | 269.561i | 0.476941 | + | 0.433378i | |||||
−656.844 | −1.05432 | |||||||||
0 | 0 | |||||||||
−292.771 | + | 552.187i | −0.468433 | + | 0.883499i | |||||
387.193 | + | 351.828i | 0.618520 | + | 0.562025i | |||||
0 | 0 | |||||||||
59.2944 | + | 618.101i | 0.0944178 | + | 0.984238i | |||||
− | 117.023i | − | 0.186046i | |||||||
0 | 0 | |||||||||
− | 1168.62i | − | 1.85201i | −0.377515 | − | 0.926004i | ||||
0.377515 | − | 0.926004i | ||||||||
482.629 | − | 645.600i | 0.763654 | − | 1.02152i | |||||
0 | 0 | |||||||||
433.548 | − | 477.128i | 0.683830 | − | 0.752569i | |||||
−622.243 | − | 351.807i | −0.979910 | − | 0.554026i | |||||
0 | 0 | |||||||||
40.8704 | 0.0641608 | |||||||||
−29.1402 | − | 26.4786i | −0.0456743 | − | 0.0415025i | |||||
0 | 0 | |||||||||
364.297 | + | 526.201i | 0.569215 | + | 0.822189i | |||||
244.158 | 0.380902 | 0.190451 | − | 0.981697i | ||||||
0.190451 | + | 0.981697i | ||||||||
0 | 0 | |||||||||
− | 868.847i | − | 1.35124i | −0.737250 | − | 0.675620i | ||||
0.737250 | − | 0.675620i | ||||||||
28.5410 | + | 297.520i | 0.0443184 | + | 0.461987i | |||||
0 | 0 | |||||||||
88.2430 | + | 80.1830i | 0.136599 | + | 0.124122i | |||||
35.1333 | 0.0543019 | 0.0271510 | − | 0.999631i | ||||||
0.0271510 | + | 0.999631i | ||||||||
0 | 0 | |||||||||
36.4458 | 0.0561569 | |||||||||
201.565 | + | 40.0079i | 0.310100 | + | 0.0615507i | |||||
0 | 0 | |||||||||
−360.252 | + | 34.5589i | −0.552534 | + | 0.0530045i | |||||
−580.068 | −0.888313 | −0.444157 | − | 0.895949i | ||||||
−0.444157 | + | 0.895949i | ||||||||
0 | 0 | |||||||||
−479.375 | − | 271.031i | −0.731870 | − | 0.413788i | |||||
236.498 | − | 45.7960i | 0.360516 | − | 0.0698109i | |||||
0 | 0 | |||||||||
−90.4812 | + | 99.5764i | −0.137509 | + | 0.151332i | |||||
992.788 | 1.50651 | 0.753253 | − | 0.657731i | ||||||
0.753253 | + | 0.657731i | ||||||||
0 | 0 | |||||||||
− | 719.647i | − | 1.08872i | −0.838850 | − | 0.544362i | ||||
0.838850 | − | 0.544362i | ||||||||
−82.1635 | + | 90.4226i | −0.124114 | + | 0.136590i | |||||
0 | 0 | |||||||||
−1.27864 | + | 1.71040i | −0.00192566 | + | 0.00257591i | |||||
880.879 | + | 498.036i | 1.32463 | + | 0.748926i | |||||
0 | 0 | |||||||||
405.817i | 0.608421i | |||||||||
−38.4938 | − | 401.270i | −0.0576254 | − | 0.600703i | |||||
0 | 0 | |||||||||
237.585 | + | 720.219i | 0.354605 | + | 1.07495i | |||||
6.97110i | 0.0103891i | |||||||||
0 | 0 | |||||||||
189.591i | 0.281711i | 0.990030 | + | 0.140855i | ||||||
−0.990030 | + | 0.140855i | ||||||||
170.164 | + | 154.621i | 0.252469 | + | 0.229409i | |||||
0 | 0 | |||||||||
58.1002 | + | 605.653i | 0.0859471 | + | 0.895936i | |||||
−327.192 | −0.483297 | −0.241649 | − | 0.970364i | ||||||
−0.241649 | + | 0.970364i | ||||||||
0 | 0 | |||||||||
761.070i | 1.12087i | |||||||||
82.8093 | − | 36.4132i | 0.121778 | − | 0.0535489i | |||||
0 | 0 | |||||||||
−15.3821 | − | 13.9771i | −0.0225544 | − | 0.0204943i | |||||
− | 673.539i | − | 0.986148i | −0.869987 | − | 0.493074i | ||||
0.869987 | − | 0.493074i | ||||||||
0 | 0 | |||||||||
−554.668 | + | 981.044i | −0.809734 | + | 1.43218i | |||||
−403.299 | + | 443.839i | −0.587899 | + | 0.646995i | |||||
0 | 0 | |||||||||
28.3282 | + | 146.292i | 0.0411748 | + | 0.212634i | |||||
−163.988 | −0.238008 | |||||||||
0 | 0 | |||||||||
237.036 | 0.343033 | 0.171516 | − | 0.985181i | ||||||
0.171516 | + | 0.985181i | ||||||||
20.8766 | + | 217.623i | 0.0301685 | + | 0.314485i | |||||
0 | 0 | |||||||||
−213.100 | − | 193.636i | −0.307061 | − | 0.279014i | |||||
424.005 | + | 239.726i | 0.610079 | + | 0.344930i | |||||
0 | 0 | |||||||||
− | 34.0491i | − | 0.0488510i | |||||||
−53.2170 | − | 48.3562i | −0.0762421 | − | 0.0692782i | |||||
0 | 0 | |||||||||
617.057 | − | 456.819i | 0.881509 | − | 0.652599i | |||||
− | 476.306i | − | 0.679466i | −0.940522 | − | 0.339733i | ||||
0.940522 | − | 0.339733i | ||||||||
0 | 0 | |||||||||
−1364.03 | −1.94030 | |||||||||
8.55107 | + | 28.9815i | 0.0121464 | + | 0.0411669i | |||||
0 | 0 | |||||||||
373.803 | + | 339.661i | 0.529467 | + | 0.481106i | |||||
− | 809.246i | − | 1.14462i | |||||||
0 | 0 | |||||||||
− | 964.778i | − | 1.36076i | −0.732860 | − | 0.680380i | ||||
0.732860 | − | 0.680380i | ||||||||
253.973 | + | 769.897i | 0.357708 | + | 1.08436i | |||||
0 | 0 | |||||||||
548.186 | + | 409.806i | 0.769924 | + | 0.575570i | |||||
214.216i | 0.300443i | |||||||||
0 | 0 | |||||||||
8.44582 | + | 4.77514i | 0.0118123 | + | 0.00667852i | |||||
−40.7965 | − | 425.274i | −0.0569783 | − | 0.593958i | |||||
0 | 0 | |||||||||
−879.461 | − | 799.132i | −1.22488 | − | 1.11300i | |||||
899.974i | 1.25170i | 0.779943 | + | 0.625851i | ||||||
−0.779943 | + | 0.625851i | ||||||||
0 | 0 | |||||||||
782.053 | 1.08468 | |||||||||
449.075 | − | 494.216i | 0.621987 | − | 0.684510i | |||||
0 | 0 | |||||||||
576.466 | − | 55.3003i | 0.796224 | − | 0.0763816i | |||||
893.220 | − | 537.415i | 1.23203 | − | 0.741262i | |||||
0 | 0 | |||||||||
908.888 | 1.25019 | 0.625095 | − | 0.780549i | ||||||
0.625095 | + | 0.780549i | ||||||||
−202.183 | − | 151.145i | −0.277723 | − | 0.207617i | |||||
0 | 0 | |||||||||
261.348 | + | 792.255i | 0.358012 | + | 1.08528i | |||||
21.0619 | 0.0288125 | |||||||||
0 | 0 | |||||||||
433.283 | 0.591109 | 0.295554 | − | 0.955326i | ||||||
0.295554 | + | 0.955326i | ||||||||
119.579 | − | 131.599i | 0.162914 | − | 0.179290i | |||||
0 | 0 | |||||||||
161.803 | − | 266.110i | 0.219842 | − | 0.361562i | |||||
35.8065i | 0.0485842i | |||||||||
0 | 0 | |||||||||
−886.138 | −1.19910 | −0.599552 | − | 0.800336i | ||||||
−0.599552 | + | 0.800336i | ||||||||
−420.990 | + | 945.400i | −0.568905 | + | 1.27757i | |||||
0 | 0 | |||||||||
−412.019 | + | 453.435i | −0.555281 | + | 0.611099i | |||||
−895.305 | −1.20499 | −0.602493 | − | 0.798124i | ||||||
−0.602493 | + | 0.798124i | ||||||||
0 | 0 | |||||||||
470.997 | − | 833.055i | 0.632211 | − | 1.11820i | |||||
112.515 | − | 123.825i | 0.150824 | − | 0.165985i | |||||
0 | 0 | |||||||||
4.25150 | − | 0.407846i | 0.00568382 | − | 0.000545248i | |||||
− | 253.329i | − | 0.338223i | |||||||
0 | 0 | |||||||||
1297.13i | 1.72720i | 0.504176 | + | 0.863601i | ||||||
−0.504176 | + | 0.863601i | ||||||||
137.639 | − | 26.6527i | 0.183031 | − | 0.0354425i | |||||
0 | 0 | |||||||||
−253.666 | − | 230.496i | −0.336427 | − | 0.305698i | |||||
−168.210 | + | 297.515i | −0.222795 | + | 0.394060i | |||||
0 | 0 | |||||||||
−421.694 | −0.557060 | −0.278530 | − | 0.960428i | ||||||
−0.278530 | + | 0.960428i | ||||||||
−181.756 | + | 200.026i | −0.239783 | + | 0.263886i | |||||
0 | 0 | |||||||||
−424.435 | − | 965.231i | −0.558468 | − | 1.27004i | |||||
−1415.76 | −1.86039 | −0.930196 | − | 0.367063i | ||||||
−0.930196 | + | 0.367063i | ||||||||
0 | 0 | |||||||||
− | 1393.88i | − | 1.82684i | |||||||
839.384 | − | 80.5220i | 1.09867 | − | 0.105395i | |||||
0 | 0 | |||||||||
−670.517 | + | 737.917i | −0.875348 | + | 0.963339i | |||||
317.261 | 0.413639 | |||||||||
0 | 0 | |||||||||
−414.210 | −0.538635 | −0.269318 | − | 0.963051i | ||||||
−0.269318 | + | 0.963051i | ||||||||
34.4237 | − | 11.3557i | 0.0447061 | − | 0.0147476i | |||||
0 | 0 | |||||||||
−430.726 | + | 41.3195i | −0.557935 | + | 0.0535226i | |||||
727.056 | 0.940564 | 0.470282 | − | 0.882516i | ||||||
0.470282 | + | 0.882516i | ||||||||
0 | 0 | |||||||||
471.498 | − | 283.682i | 0.608385 | − | 0.366042i | |||||
474.833 | − | 635.171i | 0.611898 | − | 0.818519i | |||||
0 | 0 | |||||||||
−456.522 | − | 414.824i | −0.586790 | − | 0.533193i | |||||
−396.879 | −0.509473 | |||||||||
0 | 0 | |||||||||
38.2763i | 0.0490094i | |||||||||
−32.5797 | − | 29.6039i | −0.0416621 | − | 0.0378567i | |||||
0 | 0 | |||||||||
−156.207 | + | 30.2481i | −0.199243 | + | 0.0385818i | |||||
−675.659 | − | 382.008i | −0.860713 | − | 0.486634i | |||||
0 | 0 | |||||||||
− | 1030.11i | − | 1.30890i | −0.756104 | − | 0.654451i | ||||
0.756104 | − | 0.654451i | ||||||||
117.760 | + | 1227.56i | 0.149442 | + | 1.55782i | |||||
0 | 0 | |||||||||
315.646 | + | 956.854i | 0.399552 | + | 1.21121i | |||||
588.407i | 0.743878i | |||||||||
0 | 0 | |||||||||
60.6835i | 0.0765239i | |||||||||
400.381 | − | 440.627i | 0.504258 | − | 0.554946i | |||||
0 | 0 | |||||||||
−986.906 | + | 94.6737i | −1.23983 | + | 0.118937i | |||||
371.202 | 0.465750 | 0.232875 | − | 0.972507i | ||||||
0.232875 | + | 0.972507i | ||||||||
0 | 0 | |||||||||
− | 19.8162i | − | 0.0248013i | |||||||
−799.991 | − | 3.73224i | −0.999989 | − | 0.00466530i | |||||
0 | 0 | |||||||||
−199.951 | + | 220.050i | −0.249315 | + | 0.274376i | |||||
39.3879i | 0.0490509i | |||||||||
0 | 0 | |||||||||
−325.225 | − | 183.877i | −0.404006 | − | 0.228419i | |||||
−133.901 | − | 121.671i | −0.166130 | − | 0.150956i | |||||
0 | 0 | |||||||||
−504.890 | + | 675.378i | −0.624864 | + | 0.835863i | |||||
−77.7771 | −0.0961398 | −0.0480699 | − | 0.998844i | ||||||
−0.0480699 | + | 0.998844i | ||||||||
0 | 0 | |||||||||
−1407.90 | −1.73600 | −0.868000 | − | 0.496564i | ||||||
−0.868000 | + | 0.496564i | ||||||||
−1274.67 | + | 122.279i | −1.56979 | + | 0.150590i | |||||
0 | 0 | |||||||||
−32.8591 | + | 36.1621i | −0.0403675 | + | 0.0444252i | |||||
222.648 | − | 393.799i | 0.273188 | − | 0.483189i | |||||
0 | 0 | |||||||||
− | 245.500i | − | 0.300489i | |||||||
595.009 | − | 654.820i | 0.727395 | − | 0.800513i | |||||
0 | 0 | |||||||||
−122.491 | + | 275.074i | −0.149380 | + | 0.335456i | |||||
820.275i | 0.999116i | 0.866280 | + | 0.499558i | ||||||
−0.866280 | + | 0.499558i | ||||||||
0 | 0 | |||||||||
1385.41 | 1.68336 | 0.841681 | − | 0.539976i | ||||||
0.841681 | + | 0.539976i | ||||||||
−652.683 | − | 487.924i | −0.792091 | − | 0.592141i | |||||
0 | 0 | |||||||||
797.118 | − | 877.245i | 0.965034 | − | 1.06204i | |||||
258.898i | 0.313057i | 0.987673 | + | 0.156529i | ||||||
−0.987673 | + | 0.156529i | ||||||||
0 | 0 | |||||||||
1299.31i | 1.56732i | 0.621190 | + | 0.783660i | ||||||
−0.621190 | + | 0.783660i | ||||||||
−0.836249 | − | 2.53502i | −0.00100753 | − | 0.00305424i | |||||
0 | 0 | |||||||||
74.4371 | + | 252.284i | 0.0894677 | + | 0.303226i | |||||
22.4894i | 0.0269980i | |||||||||
0 | 0 | |||||||||
438.636 | + | 247.998i | 0.525313 | + | 0.297004i | |||||
−4.75388 | − | 49.5558i | −0.00568646 | − | 0.0592773i | |||||
0 | 0 | |||||||||
−721.166 | + | 793.658i | −0.860580 | + | 0.947086i | |||||
804.961i | 0.959429i | 0.877425 | + | 0.479715i | ||||||
−0.877425 | + | 0.479715i | ||||||||
0 | 0 | |||||||||
−897.650 | −1.06736 | |||||||||
761.683 | + | 692.111i | 0.904611 | + | 0.821985i | |||||
0 | 0 | |||||||||
−88.0751 | − | 918.120i | −0.104354 | − | 1.08782i | |||||
−662.052 | − | 374.314i | −0.783493 | − | 0.442975i | |||||
0 | 0 | |||||||||
−927.268 | −1.09477 | |||||||||
626.760 | − | 121.367i | 0.739104 | − | 0.143121i | |||||
0 | 0 | |||||||||
−22.0148 | + | 110.913i | −0.0258997 | + | 0.130486i | |||||
503.607 | 0.591782 | |||||||||
0 | 0 | |||||||||
−470.811 | −0.551948 | −0.275974 | − | 0.961165i | ||||||
−0.275974 | + | 0.961165i | ||||||||
167.793 | + | 152.467i | 0.196479 | + | 0.178533i | |||||
0 | 0 | |||||||||
−158.053 | + | 211.423i | −0.184641 | + | 0.246989i | |||||
− | 266.105i | − | 0.310508i | −0.987875 | − | 0.155254i | ||||
0.987875 | − | 0.155254i | ||||||||
0 | 0 | |||||||||
1442.02 | 1.67872 | 0.839360 | − | 0.543576i | ||||||
0.839360 | + | 0.543576i | ||||||||
−170.154 | − | 75.7701i | −0.197854 | − | 0.0881048i | |||||
0 | 0 | |||||||||
128.503 | + | 116.766i | 0.149076 | + | 0.135459i | |||||
−364.495 | −0.422358 | −0.211179 | − | 0.977447i | ||||||
−0.211179 | + | 0.977447i | ||||||||
0 | 0 | |||||||||
−237.889 | − | 134.499i | −0.275016 | − | 0.155490i | |||||
731.242 | + | 664.451i | 0.844391 | + | 0.767265i | |||||
0 | 0 | |||||||||
−672.852 | + | 64.5466i | −0.775176 | + | 0.0743625i | |||||
47.5711i | 0.0547424i | |||||||||
0 | 0 | |||||||||
311.696i | 0.357860i | |||||||||
−869.645 | + | 1163.30i | −0.997299 | + | 1.33406i | |||||
0 | 0 | |||||||||
−345.066 | + | 379.752i | −0.394812 | + | 0.434499i | |||||
25.9675 | + | 959.338i | 0.0296771 | + | 1.09639i | |||||
0 | 0 | |||||||||
−77.4289 | −0.0882883 | −0.0441442 | − | 0.999025i | ||||||
−0.0441442 | + | 0.999025i | ||||||||
−776.659 | − | 705.719i | −0.884577 | − | 0.803781i | |||||
0 | 0 | |||||||||
−35.8140 | − | 11.9998i | −0.0406977 | − | 0.0136362i | |||||
−724.932 | −0.822851 | −0.411426 | − | 0.911443i | ||||||
−0.411426 | + | 0.911443i | ||||||||
0 | 0 | |||||||||
− | 493.342i | − | 0.558711i | −0.960188 | − | 0.279356i | ||||
0.960188 | − | 0.279356i | ||||||||
37.0093 | − | 3.55030i | 0.0418657 | − | 0.00401618i | |||||
0 | 0 | |||||||||
735.029 | + | 667.892i | 0.829604 | + | 0.753828i | |||||
1514.47 | 1.70741 | 0.853705 | − | 0.520758i | ||||||
0.853705 | + | 0.520758i | ||||||||
0 | 0 | |||||||||
−1097.59 | −1.23464 | |||||||||
−812.476 | + | 268.019i | −0.912895 | + | 0.301145i | |||||
0 | 0 | |||||||||
67.9067 | + | 707.879i | 0.0761286 | + | 0.793586i | |||||
−230.979 | −0.258655 | |||||||||
0 | 0 | |||||||||
464.876 | + | 262.834i | 0.519414 | + | 0.293669i | |||||
884.604 | + | 428.041i | 0.987281 | + | 0.477725i | |||||
0 | 0 | |||||||||
446.751 | − | 491.659i | 0.497496 | − | 0.547505i | |||||
−917.771 | −1.02088 | |||||||||
0 | 0 | |||||||||
− | 90.2359i | − | 0.100151i | |||||||
−9.56071 | + | 10.5218i | −0.0105995 | + | 0.0116649i | |||||
0 | 0 | |||||||||
367.108 | − | 491.071i | 0.406093 | − | 0.543220i | |||||
−356.276 | + | 630.147i | −0.393675 | + | 0.696295i | |||||
0 | 0 | |||||||||
− | 851.570i | − | 0.938887i | −0.882963 | − | 0.469443i | ||||
0.882963 | − | 0.469443i | ||||||||
809.489 | − | 77.6542i | 0.891508 | − | 0.0855223i | |||||
0 | 0 | |||||||||
299.658 | − | 98.8510i | 0.329295 | − | 0.108627i | |||||
− | 517.728i | − | 0.568308i | −0.958779 | − | 0.284154i | ||||
0.958779 | − | 0.284154i | ||||||||
0 | 0 | |||||||||
− | 0.126031i | − | 0.000138041i | |||||||
−374.177 | − | 340.000i | −0.409383 | − | 0.371991i | |||||
0 | 0 | |||||||||
−322.800 | + | 30.9662i | −0.352402 | + | 0.0338059i | |||||
−845.585 | −0.922121 | |||||||||
0 | 0 | |||||||||
− | 657.730i | − | 0.715701i | −0.933779 | − | 0.357851i | ||||
0.933779 | − | 0.357851i | ||||||||
156.704 | + | 356.368i | 0.170330 | + | 0.387357i | |||||
0 | 0 | |||||||||
1232.58 | + | 1120.00i | 1.33686 | + | 1.21475i | |||||
333.195i | 0.360992i | |||||||||
0 | 0 | |||||||||
−666.917 | − | 1108.46i | −0.720991 | − | 1.19833i | |||||
−1148.90 | + | 1264.39i | −1.24072 | + | 1.36543i | |||||
0 | 0 | |||||||||
1140.10 | + | 693.218i | 1.22856 | + | 0.747002i | |||||
−1206.28 | −1.29847 | −0.649237 | − | 0.760586i | ||||||
−0.649237 | + | 0.760586i | ||||||||
0 | 0 | |||||||||
262.138 | 0.281566 | |||||||||
−224.117 | + | 21.4995i | −0.240469 | + | 0.0230681i | |||||
0 | 0 | |||||||||
152.055 | + | 138.166i | 0.162799 | + | 0.147929i | |||||
−2.62757 | + | 4.64740i | −0.00281024 | + | 0.00497048i | |||||
0 | 0 | |||||||||
216.730i | 0.231302i | 0.993290 | + | 0.115651i | ||||||
−0.993290 | + | 0.115651i | ||||||||
861.858 | + | 783.136i | 0.918825 | + | 0.834900i | |||||
0 | 0 | |||||||||
−71.2886 | + | 160.090i | −0.0758389 | + | 0.170309i | |||||
− | 749.322i | − | 0.796304i | −0.917320 | − | 0.398152i | ||||
0.917320 | − | 0.398152i | ||||||||
0 | 0 | |||||||||
146.530 | 0.155387 | |||||||||
−1212.57 | + | 234.804i | −1.28450 | + | 0.248733i | |||||
0 | 0 | |||||||||
−6.50850 | − | 5.91402i | −0.00688002 | − | 0.00625160i | |||||
− | 114.160i | − | 0.120549i | −0.998182 | − | 0.0602743i | ||||
0.998182 | − | 0.0602743i | ||||||||
0 | 0 | |||||||||
342.872i | 0.361298i | |||||||||
1292.81 | + | 256.606i | 1.36086 | + | 0.270112i | |||||
0 | 0 | |||||||||
83.1691 | − | 111.253i | 0.0873625 | − | 0.116862i | |||||
− | 820.680i | − | 0.861154i | −0.902554 | − | 0.430577i | ||||
0.902554 | − | 0.430577i | ||||||||
0 | 0 | |||||||||
−518.768 | + | 917.548i | −0.543212 | + | 0.960783i | |||||
−1434.35 | + | 137.597i | −1.50037 | + | 0.143930i | |||||
0 | 0 | |||||||||
−397.836 | − | 361.498i | −0.415278 | − | 0.377347i | |||||
1730.50i | 1.80448i | |||||||||
0 | 0 | |||||||||
476.542 | 0.495881 | |||||||||
−286.039 | + | 314.792i | −0.297338 | + | 0.327226i | |||||
0 | 0 | |||||||||
75.4365 | + | 786.371i | 0.0782536 | + | 0.815738i | |||||
266.203 | − | 470.835i | 0.275858 | − | 0.487912i | |||||
0 | 0 | |||||||||
1108.56 | 1.14639 | 0.573194 | − | 0.819420i | ||||||
0.573194 | + | 0.819420i | ||||||||
773.876 | + | 578.524i | 0.799459 | + | 0.597649i | |||||
0 | 0 | |||||||||
310.547 | + | 941.397i | 0.320152 | + | 0.970513i | |||||
1372.41 | 1.41340 | 0.706698 | − | 0.707516i | ||||||
0.706698 | + | 0.707516i | ||||||||
0 | 0 | |||||||||
747.916 | 0.768670 | |||||||||
677.966 | − | 746.115i | 0.696063 | − | 0.766032i | |||||
0 | 0 | |||||||||
−44.9117 | − | 231.932i | −0.0460161 | − | 0.237635i | |||||
− | 927.224i | − | 0.949052i | −0.880241 | − | 0.474526i | ||||
0.880241 | − | 0.474526i | ||||||||
0 | 0 | |||||||||
−40.3932 | −0.0412597 | |||||||||
80.9053 | − | 181.686i | 0.0825564 | − | 0.185394i | |||||
0 | 0 | |||||||||
−174.877 | + | 192.455i | −0.178082 | + | 0.195983i | |||||
354.106 | 0.360230 | 0.180115 | − | 0.983646i | ||||||
0.180115 | + | 0.983646i | ||||||||
0 | 0 | |||||||||
−1341.88 | − | 758.677i | −1.36231 | − | 0.770230i | |||||
126.833 | − | 139.582i | 0.128634 | − | 0.141564i | |||||
0 | 0 | |||||||||
−41.3826 | − | 431.383i | −0.0418852 | − | 0.436623i | |||||
90.6396i | 0.0916478i | |||||||||
0 | 0 | |||||||||
− | 537.545i | − | 0.542427i | −0.962519 | − | 0.271213i | ||||
0.962519 | − | 0.271213i | ||||||||
601.817 | + | 365.925i | 0.606671 | + | 0.368876i | |||||
0 | 0 | |||||||||
921.305 | + | 837.154i | 0.926866 | + | 0.842207i | |||||
609.941 | − | 1078.81i | 0.613006 | − | 1.08423i | |||||
0 | 0 | |||||||||
−441.759 | −0.443088 | −0.221544 | − | 0.975150i | ||||||
−0.221544 | + | 0.975150i | ||||||||
893.326 | − | 983.123i | 0.895116 | − | 0.985094i | |||||
0 | 0 |