Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [55,3,Mod(6,55)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(55, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("55.6");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 55.i (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 41.3 | ||
Root | of defining polynomial | ||
Character | 55.41 | ||
Dual form | 55.3.i.d.51.3 |
-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 .
2.07416 | + | 2.85483i | 1.03708 | + | 1.42742i | 0.899498 | + | 0.436925i | ||
0.137581 | + | 0.990491i | ||||||||
−0.286558 | − | 0.881935i | −0.0955193 | − | 0.293978i | 0.891869 | − | 0.452293i | ||
−0.987389 | + | 0.158315i | ||||||||
−2.61187 | + | 8.03851i | −0.652968 | + | 2.00963i | |||||
−1.80902 | − | 1.31433i | −0.361803 | − | 0.262866i | |||||
1.92341 | − | 2.64735i | 0.320568 | − | 0.441224i | |||||
3.73363 | + | 1.21313i | 0.533376 | + | 0.173304i | 0.563307 | − | 0.826248i | ||
−0.0299310 | + | 0.999552i | ||||||||
−14.9418 | + | 4.85489i | −1.86773 | + | 0.606861i | |||||
6.58546 | − | 4.78462i | 0.731718 | − | 0.531624i | |||||
− | 7.89056i | − | 0.789056i | |||||||
−2.87880 | − | 10.6166i | −0.261709 | − | 0.965147i | |||||
7.83789 | 0.653158 | |||||||||
−3.37849 | − | 4.65009i | −0.259884 | − | 0.357699i | 0.659058 | − | 0.752092i | ||
−0.918942 | + | 0.394393i | ||||||||
4.28086 | + | 13.1751i | 0.305775 | + | 0.941080i | |||||
−0.640763 | + | 1.97207i | −0.0427175 | + | 0.131471i | |||||
−17.4997 | − | 12.7143i | −1.09373 | − | 0.794641i | |||||
−5.29106 | + | 7.28252i | −0.311239 | + | 0.428383i | −0.935767 | − | 0.352619i | ||
0.624528 | + | 0.781002i | ||||||||
27.3186 | + | 8.87634i | 1.51770 | + | 0.493130i | |||||
−27.7487 | + | 9.01609i | −1.46046 | + | 0.474531i | −0.928210 | − | 0.372058i | ||
−0.532247 | + | 0.846589i | ||||||||
15.2902 | − | 11.1090i | 0.764508 | − | 0.555448i | |||||
− | 3.64045i | − | 0.173355i | |||||||
24.3376 | − | 30.2390i | 1.10625 | − | 1.37450i | |||||
36.7936 | 1.59972 | 0.799860 | − | 0.600186i | ||||||
0.799860 | + | 0.600186i | ||||||||
8.56339 | + | 11.7865i | 0.356808 | + | 0.491104i | |||||
1.54508 | + | 4.75528i | 0.0618034 | + | 0.190211i | |||||
6.26771 | − | 19.2900i | 0.241066 | − | 0.741924i | |||||
−12.8588 | − | 9.34246i | −0.476252 | − | 0.346017i | |||||
−19.5035 | + | 26.8443i | −0.696555 | + | 0.958726i | |||||
−24.8274 | − | 8.06690i | −0.856116 | − | 0.278169i | −0.152111 | − | 0.988363i | ||
−0.704006 | + | 0.710195i | ||||||||
−6.95896 | + | 2.26110i | −0.231965 | + | 0.0753701i | |||||
−39.1642 | + | 28.4544i | −1.26336 | + | 0.917885i | −0.998918 | − | 0.0465167i | ||
−0.264442 | + | 0.964401i | ||||||||
− | 13.4870i | − | 0.421469i | |||||||
−8.53822 | + | 5.58119i | −0.258734 | + | 0.169127i | |||||
−31.7649 | −0.934261 | |||||||||
−5.15975 | − | 7.10179i | −0.147422 | − | 0.202908i | |||||
21.2608 | + | 65.4341i | 0.590579 | + | 1.81761i | |||||
6.73919 | − | 20.7411i | 0.182140 | − | 0.560571i | −0.817747 | − | 0.575578i | ||
0.999887 | + | 0.0150073i | ||||||||
−83.2945 | − | 60.5170i | −2.19196 | − | 1.59255i | |||||
−3.13294 | + | 4.31213i | −0.0803319 | + | 0.110567i | |||||
33.4109 | + | 10.8559i | 0.835272 | + | 0.271396i | |||||
40.5371 | − | 13.1713i | 0.988709 | − | 0.321251i | 0.230364 | − | 0.973105i | ||
0.758345 | + | 0.651854i | ||||||||
10.3929 | − | 7.55087i | 0.247450 | − | 0.179783i | |||||
70.3737i | 1.63660i | 0.574794 | + | 0.818298i | ||||||
−0.574794 | + | 0.818298i | ||||||||
92.8608 | + | 4.58797i | 2.11047 | + | 0.104272i | |||||
−18.2018 | −0.404484 | |||||||||
76.3156 | + | 105.039i | 1.65904 | + | 2.28347i | |||||
−5.46351 | − | 16.8149i | −0.116245 | − | 0.357765i | 0.875960 | − | 0.482384i | ||
−0.992205 | + | 0.124619i | ||||||||
−6.19847 | + | 19.0769i | −0.129135 | + | 0.397436i | |||||
−27.1735 | − | 19.7427i | −0.554561 | − | 0.402912i | |||||
−10.3708 | + | 14.2742i | −0.207416 | + | 0.285483i | |||||
7.93890 | + | 2.57951i | 0.155665 | + | 0.0505785i | |||||
46.2040 | − | 15.0126i | 0.888538 | − | 0.288704i | |||||
50.4423 | − | 36.6485i | 0.951742 | − | 0.691481i | 0.000523852 | − | 1.00000i | ||
0.951218 | + | 0.308519i | ||||||||
− | 56.0874i | − | 1.03866i | |||||||
−8.74592 | + | 22.9893i | −0.159017 | + | 0.417988i | |||||
−61.6768 | −1.10137 | |||||||||
15.9032 | + | 21.8889i | 0.279004 | + | 0.384016i | |||||
−28.4662 | − | 87.6100i | −0.490797 | − | 1.51052i | |||||
−12.0295 | + | 37.0230i | −0.203890 | + | 0.627509i | 0.795867 | + | 0.605471i | ||
−0.999757 | + | 0.0220376i | ||||||||
−14.1789 | − | 10.3016i | −0.236315 | − | 0.171693i | |||||
26.4166 | − | 36.3594i | 0.433060 | − | 0.596055i | −0.535593 | − | 0.844477i | ||
0.968652 | + | 0.248421i | ||||||||
−162.465 | − | 52.7881i | −2.62041 | − | 0.851422i | |||||
30.3921 | − | 9.87498i | 0.482414 | − | 0.156746i | |||||
−31.4956 | + | 22.8829i | −0.492118 | + | 0.357545i | |||||
12.8525i | 0.197731i | |||||||||
−33.6430 | − | 12.7989i | −0.509742 | − | 0.193923i | |||||
36.2530 | 0.541090 | 0.270545 | − | 0.962707i | ||||||
0.270545 | + | 0.962707i | ||||||||
−44.7211 | − | 61.5533i | −0.657663 | − | 0.905195i | |||||
−10.5435 | − | 32.4495i | −0.152804 | − | 0.470283i | |||||
9.57229 | − | 29.4605i | 0.136747 | − | 0.420864i | |||||
1.98595 | + | 1.44287i | 0.0279711 | + | 0.0203222i | 0.601683 | − | 0.798735i | ||
−0.573712 | + | 0.819057i | ||||||||
−75.1699 | + | 103.462i | −1.04403 | + | 1.43698i | |||||
125.450 | + | 40.7610i | 1.71849 | + | 0.558370i | 0.991709 | − | 0.128503i | ||
0.726777 | + | 0.686873i | ||||||||
73.1905 | − | 23.7810i | 0.989061 | − | 0.321365i | |||||
3.75109 | − | 2.72533i | 0.0500146 | − | 0.0363377i | |||||
− | 246.607i | − | 3.24483i | |||||||
2.13097 | − | 43.1309i | 0.0276749 | − | 0.560142i | |||||
−18.8086 | −0.241136 | |||||||||
−24.9427 | − | 34.3307i | −0.315730 | − | 0.434565i | 0.621427 | − | 0.783472i | ||
−0.937158 | + | 0.348907i | ||||||||
14.9465 | + | 46.0006i | 0.186831 | + | 0.575008i | |||||
18.0841 | − | 55.6573i | 0.223261 | − | 0.687127i | |||||
121.682 | + | 88.4072i | 1.48393 | + | 1.07814i | |||||
−45.3846 | + | 62.4666i | −0.546803 | + | 0.752609i | −0.989574 | − | 0.144025i | ||
0.442771 | + | 0.896635i | ||||||||
29.2638 | + | 9.50839i | 0.348379 | + | 0.113195i | |||||
19.1432 | − | 6.22001i | 0.225215 | − | 0.0731766i | |||||
−200.905 | + | 145.966i | −2.33610 | + | 1.69728i | |||||
24.2077i | 0.278250i | |||||||||
94.5569 | + | 144.655i | 1.07451 | + | 1.64381i | |||||
105.316 | 1.18332 | 0.591661 | − | 0.806187i | ||||||
0.591661 | + | 0.806187i | ||||||||
−37.7533 | − | 51.9630i | −0.419481 | − | 0.577366i | |||||
−6.97287 | − | 21.4603i | −0.0766249 | − | 0.235827i | |||||
−96.1001 | + | 295.766i | −1.04457 | + | 3.21484i | |||||
36.3177 | + | 26.3864i | 0.390513 | + | 0.283725i | |||||
36.6717 | − | 50.4742i | 0.390124 | − | 0.536960i | |||||
62.0479 | + | 20.1606i | 0.653136 | + | 0.212217i | |||||
−11.8946 | + | 3.86481i | −0.123903 | + | 0.0402584i | |||||
−45.8248 | + | 33.2937i | −0.472421 | + | 0.343234i | −0.798384 | − | 0.602149i | ||
0.325963 | + | 0.945382i | ||||||||
− | 118.525i | − | 1.20944i | |||||||
−69.7546 | − | 56.1413i | −0.704592 | − | 0.567084i | |||||
−42.2610 | −0.422610 | |||||||||
−54.3720 | − | 74.8367i | −0.538337 | − | 0.740957i | 0.450035 | − | 0.893011i | ||
−0.988372 | + | 0.152054i | ||||||||
9.10247 | + | 28.0145i | 0.0892399 | + | 0.274652i | |||||
−13.5278 | + | 41.6344i | −0.131338 | + | 0.404218i | −0.995003 | − | 0.0998498i | ||
0.863664 | + | 0.504068i | ||||||||
73.0564 | + | 53.0786i | 0.702465 | + | 0.510371i | |||||
−4.78475 | + | 6.58564i | −0.0455690 | + | 0.0627204i | |||||
209.251 | + | 67.9896i | 1.97406 | + | 0.641412i | |||||
60.5320 | − | 19.6680i | 0.565719 | − | 0.183813i | −0.0121737 | − | 0.999926i | ||
0.577893 | + | 0.816113i | ||||||||
108.685 | − | 78.9643i | 1.00634 | − | 0.731151i | |||||
180.853i | 1.65920i | 0.558358 | + | 0.829600i | ||||||
−0.558358 | + | 0.829600i | ||||||||
−83.7711 | + | 22.7153i | −0.761555 | + | 0.206503i | |||||
−20.2235 | −0.182193 | |||||||||
−49.9133 | − | 68.6998i | −0.445654 | − | 0.613391i | |||||
−22.4996 | − | 69.2468i | −0.199112 | − | 0.612803i | −0.999904 | − | 0.0138608i | ||
0.800792 | − | 0.598942i | ||||||||
−29.5033 | + | 90.8020i | −0.258801 | + | 0.796508i | |||||
−66.5602 | − | 48.3588i | −0.578784 | − | 0.420511i | |||||
129.692 | − | 178.505i | 1.11803 | − | 1.53884i | |||||
−44.4978 | − | 14.4582i | −0.380323 | − | 0.123574i | |||||
−130.646 | + | 42.4493i | −1.10717 | + | 0.359740i | |||||
−28.5895 | + | 20.7715i | −0.240248 | + | 0.174551i | |||||
− | 32.5771i | − | 0.271475i | |||||||
−104.425 | + | 61.1262i | −0.863017 | + | 0.505175i | |||||
158.592 | 1.29994 | |||||||||
−23.2324 | − | 31.9767i | −0.188881 | − | 0.259973i | |||||
−126.440 | − | 389.141i | −1.01967 | − | 3.13823i | |||||
3.45492 | − | 10.6331i | 0.0276393 | − | 0.0850651i | |||||
91.2293 | + | 66.2820i | 0.724042 | + | 0.526047i | |||||
−68.7276 | + | 94.5954i | −0.541162 | + | 0.744846i | −0.988780 | − | 0.149379i | ||
0.447618 | + | 0.894225i | ||||||||
−181.961 | − | 59.1227i | −1.42157 | − | 0.461896i | |||||
62.0650 | − | 20.1661i | 0.481124 | − | 0.156327i | |||||
−36.6918 | + | 26.6582i | −0.282245 | + | 0.205063i | |||||
− | 41.6464i | − | 0.317912i | −0.987286 | − | 0.158956i | ||||
0.987286 | − | 0.158956i | ||||||||
−22.5637 | − | 83.2119i | −0.170937 | − | 0.630393i | |||||
−114.541 | −0.861211 | |||||||||
75.1945 | + | 103.496i | 0.561153 | + | 0.772360i | |||||
10.9827 | + | 33.8014i | 0.0813535 | + | 0.250380i | |||||
43.7022 | − | 134.502i | 0.321340 | − | 0.988982i | |||||
−85.7502 | − | 62.3011i | −0.625914 | − | 0.454753i | 0.229069 | − | 0.973410i | ||
−0.854982 | + | 0.518657i | ||||||||
70.7691 | − | 97.4053i | 0.512819 | − | 0.705835i | |||||
31.5601 | + | 10.2545i | 0.227051 | + | 0.0737733i | 0.420333 | − | 0.907370i | ||
−0.193282 | + | 0.981143i | ||||||||
70.5645 | − | 22.9278i | 0.504032 | − | 0.163770i | |||||
−13.2641 | + | 9.63691i | −0.0940714 | + | 0.0683469i | |||||
8.66229i | 0.0610020i | |||||||||
−39.6422 | + | 49.2548i | −0.277218 | + | 0.344439i | |||||
−176.076 | −1.22275 | |||||||||
34.3106 | + | 47.2245i | 0.236625 | + | 0.325686i | |||||
143.836 | + | 442.682i | 0.985179 | + | 3.03207i | |||||
−9.62499 | + | 29.6227i | −0.0654761 | + | 0.201515i | |||||
149.126 | + | 108.346i | 1.00761 | + | 0.732069i | |||||
70.8877 | − | 97.5686i | 0.475757 | − | 0.654823i | −0.501926 | − | 0.864911i | ||
0.977683 | + | 0.210088i | ||||||||
15.5607 | + | 5.05598i | 0.103738 | + | 0.0337065i | |||||
−65.2872 | + | 21.2131i | −0.432366 | + | 0.140484i | −0.517111 | − | 0.855919i | ||
0.0847449 | + | 0.996403i | ||||||||
370.843 | − | 269.433i | 2.43976 | − | 1.77259i | |||||
73.2744i | 0.478918i | |||||||||
127.551 | − | 83.3767i | 0.828256 | − | 0.541407i | |||||
108.247 | 0.698368 | |||||||||
−26.4802 | − | 36.4469i | −0.169745 | − | 0.233634i | |||||
−57.8493 | − | 178.042i | −0.368467 | − | 1.13402i | −0.947782 | − | 0.318920i | ||
0.579315 | − | 0.815104i | ||||||||
46.2732 | − | 142.414i | 0.292868 | − | 0.901356i | |||||
−46.7762 | − | 33.9849i | −0.294190 | − | 0.213742i | |||||
−17.7263 | + | 24.3982i | −0.110790 | + | 0.152489i | |||||
137.374 | + | 44.6354i | 0.853253 | + | 0.277239i | |||||
196.402 | − | 63.8147i | 1.21236 | − | 0.393918i | |||||
−29.2151 | + | 21.2260i | −0.179234 | + | 0.130221i | −0.673785 | − | 0.738928i | ||
0.494551 | + | 0.869149i | ||||||||
360.259i | 2.19670i | |||||||||
22.7813 | + | 1.12555i | 0.138068 | + | 0.00682154i | |||||
−272.466 | −1.64136 | |||||||||
−90.2211 | − | 124.179i | −0.540246 | − | 0.743585i | 0.448403 | − | 0.893832i | ||
−0.988648 | + | 0.150247i | ||||||||
17.6740 | + | 54.3949i | 0.105202 | + | 0.323779i | |||||
42.0147 | − | 129.308i | 0.248608 | − | 0.765136i | |||||
57.4632 | + | 41.7494i | 0.338019 | + | 0.245585i | |||||
−139.599 | + | 192.142i | −0.816370 | + | 1.12364i | |||||
−565.700 | − | 183.807i | −3.28895 | − | 1.06864i | |||||
−1.64642 | + | 0.534955i | −0.00951689 | + | 0.00309223i | −0.313772 | − | 0.949498i | ||
0.304255 | + | 0.952591i | ||||||||
−69.1090 | + | 50.2107i | −0.397178 | + | 0.288567i | |||||
19.6289i | 0.112165i | |||||||||
−84.6043 | + | 222.389i | −0.480706 | + | 1.26357i | |||||
36.0990 | 0.203949 | |||||||||
218.441 | + | 300.659i | 1.22720 | + | 1.68909i | |||||
26.7282 | + | 82.2609i | 0.149320 | + | 0.459558i | 0.997541 | − | 0.0700832i | ||
−0.848222 | + | 0.529641i | ||||||||
47.5407 | − | 146.315i | 0.264115 | − | 0.812862i | |||||
−144.912 | − | 105.285i | −0.800619 | − | 0.581684i | 0.110477 | − | 0.993879i | ||
−0.911096 | + | 0.412195i | ||||||||
46.8027 | − | 64.4184i | 0.257158 | − | 0.353947i | |||||
−39.6365 | − | 12.8787i | −0.216593 | − | 0.0703753i | |||||
−549.762 | + | 178.629i | −2.98784 | + | 0.970808i | |||||
−39.4519 | + | 28.6635i | −0.213254 | + | 0.154938i | |||||
158.411i | 0.851670i | |||||||||
92.5476 | + | 35.2082i | 0.494907 | + | 0.188279i | |||||
149.437 | 0.794878 | |||||||||
−36.6764 | − | 50.4807i | −0.194055 | − | 0.267094i | |||||
71.1420 | + | 218.953i | 0.374432 | + | 1.15238i | |||||
104.623 | − | 321.997i | 0.547765 | − | 1.68585i | −0.166559 | − | 0.986032i | ||
0.714324 | − | 0.699815i | ||||||||
29.2065 | + | 21.2198i | 0.152117 | + | 0.110520i | |||||
−5.22978 | + | 7.19818i | −0.0270973 | + | 0.0372963i | −0.822351 | − | 0.568981i | ||
0.795253 | + | 0.606277i | ||||||||
−190.096 | − | 61.7658i | −0.979874 | − | 0.318381i | |||||
11.3351 | − | 3.68300i | 0.0581287 | − | 0.0188872i | |||||
229.676 | − | 166.869i | 1.17181 | − | 0.851373i | |||||
199.660i | 1.01350i | 0.862093 | + | 0.506751i | ||||||
−0.862093 | + | 0.506751i | ||||||||
15.5920 | − | 315.584i | 0.0787477 | − | 1.59386i | |||||
182.624 | 0.917706 | 0.458853 | − | 0.888512i | ||||||
0.458853 | + | 0.888512i | ||||||||
−46.1727 | − | 63.5513i | −0.230864 | − | 0.317757i | |||||
−10.3886 | − | 31.9728i | −0.0516845 | − | 0.159069i | |||||
100.870 | − | 310.446i | 0.499356 | − | 1.53686i | |||||
−82.9101 | − | 60.2377i | −0.408424 | − | 0.296737i | |||||
−41.4708 | + | 57.0796i | −0.203288 | + | 0.279802i | |||||
−90.6436 | − | 29.4519i | −0.442164 | − | 0.143668i | |||||
−146.918 | + | 47.7366i | −0.713195 | + | 0.231731i | |||||
242.303 | − | 176.043i | 1.17054 | − | 0.850450i | |||||
124.330i | 0.597740i | |||||||||
175.603 | + | 268.642i | 0.840207 | + | 1.28537i | |||||
−28.7252 | −0.136787 | |||||||||
80.0829 | + | 110.225i | 0.379540 | + | 0.522392i | 0.955463 | − | 0.295112i | ||
−0.575923 | + | 0.817504i | ||||||||
162.851 | + | 501.202i | 0.768163 | + | 2.36416i | |||||
0.703432 | − | 2.16494i | 0.00330250 | − | 0.0101640i | |||||
181.702 | + | 132.014i | 0.849073 | + | 0.616888i | |||||
92.4941 | − | 127.307i | 0.430205 | − | 0.592126i | |||||
237.490 | + | 77.1653i | 1.09949 | + | 0.357247i | |||||
−180.744 | + | 58.7271i | −0.832920 | + | 0.270632i | |||||
−516.305 | + | 375.117i | −2.36837 | + | 1.72072i | |||||
− | 122.319i | − | 0.558533i | |||||||
−161.957 | − | 130.349i | −0.736167 | − | 0.592497i | |||||
51.7402 | 0.234118 | |||||||||
−41.9466 | − | 57.7346i | −0.188949 | − | 0.260066i | |||||
−12.5350 | − | 38.5788i | −0.0562108 | − | 0.172999i | 0.919009 | − | 0.394236i | ||
−0.975220 | + | 0.221237i | ||||||||
16.3615 | − | 50.3555i | 0.0730424 | − | 0.224801i | |||||
32.9273 | + | 23.9231i | 0.146344 | + | 0.106325i | |||||
151.020 | − | 207.861i | 0.668230 | − | 0.919740i | |||||
181.180 | + | 58.8689i | 0.798148 | + | 0.259334i | 0.679570 | − | 0.733611i | ||
0.118578 | + | 0.992945i | ||||||||
−217.491 | + | 70.6672i | −0.953909 | + | 0.309944i | |||||
185.982 | − | 135.124i | 0.812148 | − | 0.590060i | −0.102304 | − | 0.994753i | ||
0.914453 | + | 0.404693i | ||||||||
− | 290.322i | − | 1.26227i | |||||||
−38.6493 | + | 10.4801i | −0.167313 | + | 0.0453685i | |||||
410.130 | 1.76780 | |||||||||
111.299 | + | 153.190i | 0.477678 | + | 0.657467i | 0.978057 | − | 0.208340i | ||
−0.500379 | + | 0.865807i | ||||||||
−51.0197 | − | 157.022i | −0.218033 | − | 0.671036i | |||||
−12.2168 | + | 37.5994i | −0.0519863 | + | 0.159997i | |||||
−266.191 | − | 193.399i | −1.12793 | − | 0.819486i | |||||
−23.1299 | + | 31.8355i | −0.0975944 | + | 0.134327i | |||||
−118.598 | − | 38.5349i | −0.498312 | − | 0.161912i | |||||
−106.671 | + | 34.6595i | −0.446322 | + | 0.145019i | −0.523551 | − | 0.851994i | ||
0.0772283 | + | 0.997013i | ||||||||
36.2865 | − | 26.3637i | 0.151194 | − | 0.109849i | |||||
118.124i | 0.490141i | 0.969505 | + | 0.245070i | ||||||
−0.969505 | + | 0.245070i | ||||||||
−391.099 | − | 171.331i | −1.61611 | − | 0.707978i | |||||
−197.317 | −0.812006 | |||||||||
223.278 | + | 307.316i | 0.915076 | + | 1.25949i | |||||
23.2089 | + | 71.4298i | 0.0947304 | + | 0.291550i | |||||
43.1004 | − | 132.649i | 0.175205 | − | 0.539225i | |||||
135.674 | + | 98.5731i | 0.549288 | + | 0.399081i | |||||
447.040 | − | 615.298i | 1.80258 | − | 2.48104i | |||||
68.0967 | + | 22.1260i | 0.273481 | + | 0.0888593i | |||||
37.5218 | − | 12.1916i | 0.150087 | − | 0.0487664i | |||||
148.903 | − | 108.184i | 0.593240 | − | 0.431014i | −0.250233 | − | 0.968186i | ||
0.843473 | + | 0.537172i | ||||||||
270.099i | 1.07182i | |||||||||
−105.921 | − | 390.623i | −0.418661 | − | 1.54397i | |||||
−412.606 | −1.62443 | |||||||||
−10.9713 | − | 15.1007i | −0.0430247 | − | 0.0592184i | |||||
−160.509 | − | 493.997i | −0.626990 | − | 1.92968i | |||||
−124.017 | + | 381.685i | −0.482557 | + | 1.48516i | 0.352932 | + | 0.935649i | ||
−0.835489 | + | 0.549507i | ||||||||
186.303 | + | 135.357i | 0.722106 | + | 0.524641i | |||||
50.3234 | − | 69.2642i | 0.194299 | − | 0.267429i | |||||
−103.315 | − | 33.5692i | −0.397366 | − | 0.129112i | |||||
−202.097 | + | 65.6652i | −0.774317 | + | 0.251591i | |||||
118.894 | − | 86.3812i | 0.453792 | − | 0.329699i | |||||
72.9866i | 0.277516i | 0.990326 | + | 0.138758i | ||||||
−0.990326 | + | 0.138758i | ||||||||
100.480 | − | 124.845i | 0.380607 | − | 0.472898i | |||||
−139.419 | −0.526110 | |||||||||
−237.576 | − | 326.996i | −0.893144 | − | 1.22931i | |||||
−30.1791 | − | 92.8816i | −0.113030 | − | 0.347871i | |||||
−94.6882 | + | 291.420i | −0.353314 | + | 1.08739i | |||||
−161.917 | − | 117.640i | −0.601923 | − | 0.437322i | 0.244638 | − | 0.969614i | ||
−0.846561 | + | 0.532292i | ||||||||
−73.7173 | + | 101.463i | −0.273027 | + | 0.375789i | |||||
144.974 | + | 47.1049i | 0.534959 | + | 0.173819i | 0.564023 | − | 0.825759i | ||
−0.0290645 | + | 0.999578i | ||||||||
185.184 | − | 60.1698i | 0.680822 | − | 0.221213i | |||||
−16.9284 | + | 12.2992i | −0.0620089 | + | 0.0450521i | |||||
− | 374.025i | − | 1.36505i | |||||||
46.0370 | − | 30.0931i | 0.167407 | − | 0.109429i | |||||
288.384 | 1.04487 | |||||||||
−121.855 | − | 167.719i | −0.439911 | − | 0.605485i | 0.530281 | − | 0.847822i | ||
−0.970192 | + | 0.242336i | ||||||||
36.1857 | + | 111.368i | 0.130164 | + | 0.400605i | |||||
−121.770 | + | 374.771i | −0.436453 | + | 1.34327i | |||||
111.574 | + | 81.0636i | 0.398480 | + | 0.289513i | |||||
−72.0371 | + | 99.1506i | −0.256360 | + | 0.352849i | −0.917726 | − | 0.397214i | ||
0.661366 | + | 0.750063i | ||||||||
−55.0235 | − | 17.8782i | −0.195119 | − | 0.0633980i | |||||
158.184 | − | 51.3970i | 0.558953 | − | 0.181615i | −0.0158971 | − | 0.999874i | ||
0.574850 | + | 0.818259i | ||||||||
−16.7856 | + | 12.1954i | −0.0591042 | + | 0.0429417i | |||||
− | 60.4994i | − | 0.212279i | |||||||
−222.838 | − | 11.0098i | −0.779155 | − | 0.0384957i | |||||
167.329 | 0.583028 | |||||||||
−64.5301 | − | 88.8181i | −0.224063 | − | 0.308396i | |||||
64.2661 | + | 197.791i | 0.222374 | + | 0.684397i | |||||
−63.6524 | + | 195.902i | −0.219491 | + | 0.675524i | |||||
42.4943 | + | 30.8739i | 0.146028 | + | 0.106096i | |||||
−655.316 | + | 901.965i | −2.24423 | + | 3.08892i | |||||
48.4902 | + | 15.7554i | 0.165496 | + | 0.0537728i | 0.390593 | − | 0.920564i | ||
−0.225097 | + | 0.974336i | ||||||||
−104.531 | + | 33.9643i | −0.355549 | + | 0.115525i | |||||
70.4220 | − | 51.1646i | 0.238719 | − | 0.173439i | |||||
342.628i | 1.15753i | |||||||||
−62.1675 | + | 163.412i | −0.209318 | + | 0.550209i | |||||
425.574 | 1.42810 | |||||||||
−124.307 | − | 171.093i | −0.415741 | − | 0.572219i | |||||
12.1102 | + | 37.2714i | 0.0403674 | + | 0.124238i | |||||
−85.3725 | + | 262.749i | −0.283629 | + | 0.872922i | |||||
−195.976 | − | 142.385i | −0.648927 | − | 0.471473i | |||||
−50.4203 | + | 69.3976i | −0.166404 | + | 0.229035i | |||||
600.226 | + | 195.025i | 1.97443 | + | 0.641530i | |||||
−95.5763 | + | 31.0546i | −0.313365 | + | 0.101818i | |||||
−209.186 | + | 151.983i | −0.683615 | + | 0.496675i | |||||
− | 388.897i | − | 1.26676i | −0.773839 | − | 0.633382i | ||||
0.773839 | − | 0.633382i | ||||||||
341.143 | + | 129.782i | 1.10761 | + | 0.421371i | |||||
40.5954 | 0.131377 | |||||||||
224.521 | + | 309.027i | 0.724263 | + | 0.996862i | |||||
−12.6147 | − | 38.8239i | −0.0405616 | − | 0.124836i | 0.928725 | − | 0.370769i | ||
−0.969287 | + | 0.245933i | ||||||||
25.8769 | − | 79.6410i | 0.0829389 | − | 0.255260i | |||||
414.787 | + | 301.360i | 1.32520 | + | 0.962812i | 0.999852 | + | 0.0172161i | ||
0.325345 | + | 0.945595i | ||||||||
388.291 | − | 534.437i | 1.23660 | − | 1.70203i | |||||
−67.9587 | − | 22.0811i | −0.215742 | − | 0.0700988i | |||||
341.114 | − | 110.835i | 1.07948 | − | 0.350743i | |||||
−142.274 | + | 103.368i | −0.448814 | + | 0.326083i | −0.789127 | − | 0.614230i | ||
0.340313 | + | 0.940312i | ||||||||
− | 204.028i | − | 0.641598i | |||||||
−14.1702 | + | 286.806i | −0.0444207 | + | 0.899077i | |||||
87.0516 | 0.272036 | |||||||||
−34.6918 | − | 47.7492i | −0.108074 | − | 0.148751i | |||||
157.508 | + | 484.760i | 0.489155 | + | 1.50547i | |||||
81.1601 | − | 249.785i | 0.251270 | − | 0.773328i | |||||
400.168 | + | 290.739i | 1.23509 | + | 0.897343i | |||||
16.8924 | − | 23.2505i | 0.0519767 | − | 0.0715399i | |||||
−121.193 | − | 39.3781i | −0.371759 | − | 0.120792i | |||||
159.500 | − | 51.8248i | 0.487769 | − | 0.158486i | |||||
−541.752 | + | 393.606i | −1.65168 | + | 1.20002i | |||||
− | 69.4088i | − | 0.210969i | |||||||
44.0387 | + | 67.3713i | 0.133451 | + | 0.204156i | |||||
−97.5050 | −0.294577 | −0.147289 | − | 0.989094i | ||||||
−0.147289 | + | 0.989094i | ||||||||
−383.600 | − | 527.979i | −1.15542 | − | 1.59030i | |||||
−54.8576 | − | 168.834i | −0.164737 | − | 0.507010i | |||||
167.377 | − | 515.132i | 0.501127 | − | 1.54231i | |||||
−65.5823 | − | 47.6484i | −0.195768 | − | 0.142234i | |||||
−46.2856 | + | 63.7067i | −0.137755 | + | 0.189603i | |||||
147.559 | + | 47.9448i | 0.437860 | + | 0.142269i | 0.519648 | − | 0.854380i | ||
−0.0817878 | + | 0.996650i | ||||||||
456.298 | − | 148.260i | 1.34999 | − | 0.438639i | |||||
−54.6237 | + | 39.6864i | −0.161132 | + | 0.117069i | |||||
170.129i | 0.500379i | |||||||||
414.835 | + | 333.876i | 1.21653 | + | 0.979109i | |||||
−838.084 | −2.45054 | |||||||||
−190.574 | − | 262.302i | −0.555608 | − | 0.764729i | |||||
−341.656 | − | 1051.51i | −0.993187 | − | 3.05671i | |||||
−23.5760 | + | 72.5593i | −0.0683361 | + | 0.210317i | |||||
−4.94214 | − | 3.59068i | −0.0142837 | − | 0.0103777i | |||||
29.5186 | − | 40.6288i | 0.0850680 | − | 0.117086i | −0.764362 | − | 0.644787i | ||
0.849430 | + | 0.527701i | ||||||||
−194.594 | − | 63.2275i | −0.559179 | − | 0.181688i | |||||
−146.948 | + | 47.7462i | −0.421053 | + | 0.136809i | −0.511878 | − | 0.859058i | ||
0.0908242 | + | 0.995867i | ||||||||
−56.0371 | + | 40.7134i | −0.160106 | + | 0.116324i | |||||
91.3580i | 0.260279i | |||||||||
−143.186 | + | 38.8263i | −0.406779 | + | 0.110302i | |||||
−559.143 | −1.58397 | −0.791987 | − | 0.610538i | ||||||
−0.791987 | + | 0.610538i | ||||||||
74.8751 | + | 103.057i | 0.211511 | + | 0.291121i | |||||
−1.69620 | − | 5.22037i | −0.00477803 | − | 0.0147053i | |||||
−275.071 | + | 846.582i | −0.772672 | + | 2.37804i | |||||
26.5117 | + | 19.2619i | 0.0742624 | + | 0.0539548i | |||||
−179.403 | + | 246.927i | −0.501125 | + | 0.689739i | |||||
−646.648 | − | 210.109i | −1.80125 | − | 0.585261i | −0.801331 | − | 0.598221i | ||
−0.999916 | + | 0.0129603i | ||||||||
271.967 | − | 88.3675i | 0.755465 | − | 0.245465i | |||||
396.644 | − | 288.179i | 1.09874 | − | 0.798279i | |||||
− | 632.077i | − | 1.74607i | |||||||
83.8331 | + | 74.5799i | 0.230945 | + | 0.205454i | |||||
190.721 | 0.523959 | |||||||||
−173.367 | − | 238.619i | −0.474978 | − | 0.653751i | |||||
−45.4458 | − | 139.868i | −0.124169 | − | 0.382153i | |||||
139.082 | − | 428.051i | 0.378970 | − | 1.16635i | −0.561791 | − | 0.827279i | ||
0.940761 | − | 0.339071i | ||||||||
−643.875 | − | 467.803i | −1.74966 | − | 1.27120i | |||||
203.936 | − | 280.693i | 0.552671 | − | 0.760686i | |||||
−163.659 | − | 53.1760i | −0.442322 | − | 0.143719i | |||||
232.793 | − | 75.6389i | 0.627473 | − | 0.203878i | |||||
−306.965 | + | 223.023i | −0.825173 | + | 0.599524i | |||||
− | 396.273i | − | 1.06239i | −0.847248 | − | 0.531197i | ||||
0.847248 | − | 0.531197i | ||||||||
91.4446 | + | 337.235i | 0.244504 | + | 0.901699i | |||||
−10.3678 | −0.0276474 | |||||||||
163.269 | + | 224.721i | 0.434227 | + | 0.597662i | |||||
46.3672 | + | 142.703i | 0.122990 | + | 0.378524i | |||||
68.0414 | − | 209.410i | 0.180004 | − | 0.553995i | |||||
−429.812 | − | 312.277i | −1.13407 | − | 0.823950i | −0.147787 | − | 0.989019i | ||
−0.986282 | + | 0.165069i | ||||||||
−324.122 | + | 446.116i | −0.852954 | + | 1.17399i | |||||
103.121 | + | 33.5062i | 0.270660 | + | 0.0879427i | |||||
1136.25 | − | 369.190i | 2.97448 | − | 0.966467i | |||||
500.006 | − | 363.276i | 1.30550 | − | 0.948500i | 0.305506 | − | 0.952190i | ||
0.999993 | + | 0.00368998i | ||||||||
177.420i | 0.462031i | |||||||||
−60.5431 | + | 75.2238i | −0.157255 | + | 0.195386i | |||||
−31.3970 | −0.0813393 | |||||||||
336.711 | + | 463.443i | 0.870054 | + | 1.19753i | |||||
−147.943 | − | 455.322i | −0.381297 | − | 1.17351i | |||||
3.92137 | − | 12.0687i | 0.0100806 | − | 0.0310250i | −0.945890 | − | 0.324488i | ||
0.955970 | + | 0.293463i | ||||||||
34.0251 | + | 24.7207i | 0.0872438 | + | 0.0633864i | |||||
−194.677 | + | 267.950i | −0.497895 | + | 0.685294i | |||||
501.870 | + | 163.067i | 1.28028 | + | 0.415988i | |||||
−36.7294 | + | 11.9341i | −0.0934591 | + | 0.0303667i | |||||
−569.995 | + | 414.126i | −1.44669 | + | 1.05108i | |||||
94.8876i | 0.240222i | |||||||||
633.483 | − | 414.090i | 1.59970 | − | 1.04568i | |||||
−240.779 | −0.606497 | −0.303249 | − | 0.952911i | ||||||
−0.303249 | + | 0.952911i | ||||||||
378.790 | + | 521.359i | 0.951733 | + | 1.30995i | |||||
32.8227 | + | 101.018i | 0.0822623 | + | 0.253177i | |||||
33.4214 | − | 102.860i | 0.0835535 | − | 0.257151i | |||||
581.860 | + | 422.746i | 1.45102 | + | 1.05423i | 0.985591 | + | 0.169145i | ||
0.465431 | + | 0.885084i | ||||||||
69.7294 | − | 95.9743i | 0.173456 | − | 0.238742i | |||||
264.631 | + | 85.9839i | 0.656653 | + | 0.213360i | |||||
743.588 | − | 241.606i | 1.84056 | − | 0.598036i | |||||
−105.866 | + | 76.9165i | −0.261399 | + | 0.189917i | |||||
− | 361.637i | − | 0.890731i | |||||||
−239.601 | − | 11.8380i | −0.588701 | − | 0.0290859i | |||||
−131.145 | −0.321433 | |||||||||
−62.9642 | − | 86.6628i | −0.153947 | − | 0.211890i | 0.725077 | − | 0.688668i | ||
−0.879023 | + | 0.476779i | ||||||||
−103.929 | − | 319.860i | −0.253485 | − | 0.780147i | |||||
−30.3731 | + | 93.4789i | −0.0739006 | + | 0.227443i | |||||
−299.346 | − | 217.488i | −0.726568 | − | 0.527882i | |||||
−89.8276 | + | 123.637i | −0.217500 | + | 0.299363i | |||||
1005.15 | + | 326.592i | 2.42789 | + | 0.788870i | |||||
164.203 | − | 53.3528i | 0.395670 | − | 0.128561i | |||||
−62.7158 | + | 45.5657i | −0.150759 | + | 0.109533i | |||||
− | 30.7724i | − | 0.0737948i | |||||||
−402.698 | + | 1058.52i | −0.963392 | + | 2.53235i | |||||
29.4752 | 0.0703464 | 0.0351732 | − | 0.999381i | ||||||
0.0351732 | + | 0.999381i | ||||||||
−40.4416 | − | 55.6631i | −0.0962895 | − | 0.132531i | |||||
−127.694 | − | 393.002i | −0.303311 | − | 0.933496i | −0.980302 | − | 0.197504i | ||
0.676991 | − | 0.735991i | ||||||||
−148.568 | + | 457.247i | −0.352058 | + | 1.08352i | |||||
−116.433 | − | 84.5934i | −0.275255 | − | 0.199984i | |||||
−575.775 | + | 792.487i | −1.35796 | + | 1.86907i | |||||
−42.8056 | − | 13.9084i | −0.100719 | − | 0.0327256i | |||||
7.63957 | − | 2.48225i | 0.0179333 | − | 0.00582687i | |||||
142.739 | − | 103.706i | 0.334283 | − | 0.242871i | |||||
537.957i | 1.25691i | |||||||||
54.7993 | + | 20.8475i | 0.127737 | + | 0.0485956i | |||||
555.288 | 1.29137 | |||||||||
115.324 | + | 158.730i | 0.267574 | + | 0.368284i | 0.921569 | − | 0.388215i | ||
−0.653995 | + | 0.756499i | ||||||||
106.242 | + | 326.980i | 0.245931 | + | 0.756898i | |||||
−25.9577 | + | 79.8895i | −0.0599484 | + | 0.184502i | −0.976546 | − | 0.215309i | ||
0.916598 | + | 0.399811i | ||||||||
−542.547 | − | 394.183i | −1.25011 | − | 0.908256i | |||||
31.8169 | − | 43.7922i | 0.0731423 | − | 0.100672i | |||||
−1453.79 | − | 472.364i | −3.33438 | − | 1.08340i | |||||
−1020.97 | + | 331.734i | −2.33632 | + | 0.759117i | |||||
349.199 | − | 253.708i | 0.797258 | − | 0.579242i | |||||
− | 139.738i | − | 0.318309i | −0.987254 | − | 0.159154i | ||||
0.987254 | − | 0.159154i | ||||||||
19.0692 | − | 385.962i | 0.0433392 | − | 0.877187i | |||||
−273.411 | −0.619980 | |||||||||
107.317 | + | 147.709i | 0.242799 | + | 0.334184i | |||||
91.4047 | + | 281.315i | 0.206331 | + | 0.635022i | 0.999656 | + | 0.0262237i | ||
−0.793325 | + | 0.608799i | ||||||||
52.8211 | − | 162.567i | 0.118966 | − | 0.366141i | |||||
−190.518 | − | 138.419i | −0.428130 | − | 0.311055i | |||||
84.1364 | − | 115.804i | 0.188647 | − | 0.259650i | |||||
−106.363 | − | 34.5593i | −0.237948 | − | 0.0773139i | |||||
−145.353 | + | 47.2280i | −0.324448 | + | 0.105420i | |||||
−532.550 | + | 386.920i | −1.18608 | + | 0.861737i | −0.992844 | − | 0.119415i | ||
−0.193235 | + | 0.981153i | ||||||||
143.622i | 0.319160i | |||||||||
−256.532 | − | 392.449i | −0.568808 | − | 0.870175i | |||||
615.407 | 1.36152 | |||||||||
37.4171 | + | 51.5003i | 0.0825986 | + | 0.113687i | |||||
207.734 | + | 639.341i | 0.457565 | + | 1.40824i | |||||
−15.5918 | + | 47.9867i | −0.0342677 | + | 0.105465i | |||||
−343.891 | − | 249.851i | −0.754146 | − | 0.547919i | |||||
87.2258 | − | 120.056i | 0.190866 | − | 0.262705i | −0.702849 | − | 0.711339i | ||
0.893716 | + | 0.448634i | ||||||||
771.512 | + | 250.679i | 1.68452 | + | 0.547335i | |||||
136.073 | − | 44.2129i | 0.296456 | − | 0.0963244i | |||||
562.580 | − | 408.738i | 1.22300 | − | 0.888561i | |||||
− | 500.817i | − | 1.08637i | −0.839613 | − | 0.543185i | ||||
0.839613 | − | 0.543185i | ||||||||
−110.084 | − | 88.5998i | −0.238276 | − | 0.191774i | |||||
−398.770 | −0.861275 | −0.430638 | − | 0.902525i | ||||||
−0.430638 | + | 0.902525i | ||||||||
331.906 | + | 456.830i | 0.715315 | + | 0.984547i | |||||
−31.0191 | − | 95.4668i | −0.0667076 | − | 0.205305i | |||||
−206.480 | + | 635.479i | −0.443090 | + | 1.36369i | |||||
508.794 | + | 369.661i | 1.08949 | + | 0.791564i | 0.979314 | − | 0.202347i | ||
0.110181 | + | 0.993912i | ||||||||
232.445 | − | 319.933i | 0.496677 | − | 0.683618i | |||||
135.356 | + | 43.9797i | 0.288604 | + | 0.0937733i | |||||
−132.679 | + | 43.1101i | −0.282297 | + | 0.0917237i | |||||
−140.444 | + | 102.039i | −0.298183 | + | 0.216642i | |||||
− | 611.593i | − | 1.29575i | |||||||
747.130 | − | 202.592i | 1.57956 | − | 0.428312i | |||||
−138.860 | −0.292954 | |||||||||
−85.7481 | − | 118.022i | −0.180522 | − | 0.248468i | |||||
−92.2999 | − | 284.070i | −0.193907 | − | 0.596785i | |||||
156.837 | − | 482.694i | 0.328799 | − | 1.01194i | |||||
−320.200 | − | 232.639i | −0.669874 | − | 0.486692i | |||||
−56.6925 | + | 78.0306i | −0.118356 | + | 0.162903i | −0.864084 | − | 0.503347i | ||
0.745728 | + | 0.666250i | ||||||||
26.5972 | + | 8.64197i | 0.0554109 | + | 0.0180041i | |||||
−119.216 | + | 38.7357i | −0.247851 | + | 0.0805317i | |||||
−337.224 | + | 245.007i | −0.699634 | + | 0.508314i | |||||
− | 133.945i | − | 0.277319i | |||||||
−218.619 | − | 999.076i | −0.451692 | − | 2.06421i | |||||
126.657 | 0.261148 | |||||||||
−409.267 | − | 563.308i | −0.842114 | − | 1.15907i | |||||
247.215 | + | 760.849i | 0.507628 | + | 1.56232i | 0.796307 | + | 0.604892i | ||
−0.288680 | + | 0.957426i | ||||||||
−218.192 | + | 671.525i | −0.447114 | + | 1.37607i | |||||
27.0918 | + | 19.6833i | 0.0554024 | + | 0.0402522i | |||||
−155.781 | + | 214.414i | −0.317920 | + | 0.437580i | |||||
−800.353 | − | 260.050i | −1.63005 | − | 0.529634i | −0.655764 | − | 0.754966i | ||
−0.974282 | + | 0.225332i | ||||||||
317.725 | − | 103.235i | 0.645783 | − | 0.209828i | |||||
190.110 | − | 138.123i | 0.385620 | − | 0.280169i | |||||
591.783i | 1.19794i | |||||||||
52.3992 | + | 193.241i | 0.105857 | + | 0.390386i | |||||
1047.14 | 2.11116 | |||||||||
5.66440 | + | 7.79638i | 0.0113972 | + | 0.0156869i | |||||
78.0774 | + | 240.298i | 0.156782 | + | 0.482525i | |||||
−220.886 | + | 679.818i | −0.442658 | + | 1.36236i | 0.442374 | + | 0.896830i | ||
−0.885032 | + | 0.465530i | ||||||||
76.4508 | + | 55.5448i | 0.152902 | + | 0.111090i | |||||
−83.6639 | + | 115.153i | −0.166994 | + | 0.229847i | |||||
617.697 | + | 200.702i | 1.23047 | + | 0.399805i | |||||
−660.549 | + | 214.625i | −1.31322 | + | 0.426690i | −0.880161 | − | 0.474676i | ||
−0.433057 | + | 0.901366i | ||||||||
−406.170 | + | 295.100i | −0.805894 | + | 0.585516i | |||||
206.843i | 0.409591i | |||||||||
895.466 | − | 1112.60i | 1.76970 | − | 2.19882i | |||||
−126.081 | −0.248680 | |||||||||
−580.899 | − | 799.539i | −1.14350 | − | 1.57390i | |||||
−7.78172 | − | 23.9497i | −0.0152883 | − | 0.0470524i | 0.943121 | − | 0.332449i | ||
−0.958410 | + | 0.285396i | ||||||||
20.3537 | − | 62.6424i | 0.0399093 | − | 0.122828i | |||||
418.934 | + | 304.373i | 0.819832 | + | 0.595643i | |||||
627.525 | − | 863.714i | 1.22563 | − | 1.68694i | |||||
441.047 | + | 143.305i | 0.859741 | + | 0.279347i | |||||
−1346.88 | + | 437.627i | −2.62038 | + | 0.851415i | |||||
79.1934 | − | 57.5374i | 0.153774 | − | 0.111723i | |||||
551.581i | 1.06896i | |||||||||
−162.789 | + | 106.411i | −0.314873 | + | 0.205824i | |||||
302.116 | 0.583236 | |||||||||
0.943590 | + | 1.29874i | 0.00181809 | + | 0.00250239i | |||||
−62.3976 | − | 192.040i | −0.119995 | − | 0.369308i | |||||
144.330 | − | 444.202i | 0.277025 | − | 0.852596i | −0.711651 | − | 0.702533i | ||
0.988676 | − | 0.150063i | ||||||||
−606.643 | − | 440.752i | −1.16215 | − | 0.844353i | |||||
−469.788 | + | 646.608i | −0.898257 | + | 1.23634i | 0.0727642 | + | 0.997349i | ||
−0.971021 | + | 0.238995i | ||||||||
334.775 | + | 108.775i | 0.638884 | + | 0.207586i | |||||
17.3114 | − | 5.62481i | 0.0329741 | − | 0.0107139i | |||||
−208.365 | + | 151.386i | −0.396130 | + | 0.287806i | |||||
− | 435.768i | − | 0.826884i | |||||||
220.377 | + | 10.8881i | 0.417380 | + | 0.0206215i | |||||
824.767 | 1.55911 | |||||||||
−289.177 | − | 398.018i | −0.545617 | − | 0.750978i | |||||
97.9211 | + | 301.370i | 0.184409 | + | 0.567552i | |||||
299.167 | − | 920.740i | 0.562343 | − | 1.73071i | |||||
−198.202 | − | 144.002i | −0.371860 | − | 0.270172i | |||||
202.565 | − | 278.807i | 0.379336 | − | 0.522111i | |||||
−135.354 | − | 43.9790i | −0.252997 | − | 0.0822038i | |||||
−541.686 | + | 176.004i | −1.01061 | + | 0.328366i | |||||
64.8896 | − | 47.1450i | 0.120837 | − | 0.0877934i | |||||
− | 706.250i | − | 1.31273i | |||||||
−131.374 | + | 345.326i | −0.243736 | + | 0.640679i | |||||
−300.398 | −0.556293 | |||||||||
631.800 | + | 869.598i | 1.16784 | + | 1.60739i | 0.676564 | + | 0.736383i | ||
0.491272 | + | 0.871006i | ||||||||
166.222 | + | 511.579i | 0.306683 | + | 0.943872i | |||||
−51.3286 | + | 157.973i | −0.0945278 | + | 0.290927i | |||||
98.2193 | + | 71.3605i | 0.180550 | + | 0.131177i | |||||
237.700 | − | 327.166i | 0.436147 | − | 0.600304i | |||||
−70.2245 | − | 22.8173i | −0.128616 | − | 0.0417899i | |||||
322.941 | − | 104.930i | 0.590386 | − | 0.191828i | 0.00143823 | − | 0.999999i | ||
0.588948 | + | 0.808171i | ||||||||
724.777 | − | 526.581i | 1.32259 | − | 0.960915i | |||||
− | 365.837i | − | 0.666369i | |||||||
181.399 | + | 69.0102i | 0.329816 | + | 0.125473i | |||||
761.659 | 1.38232 | |||||||||
315.078 | + | 433.667i | 0.570793 | + | 0.785629i | |||||
−51.4792 | − | 158.437i | −0.0930909 | − | 0.286504i | |||||
226.064 | − | 695.753i | 0.408057 | − | 1.25587i | |||||
36.5846 | + | 26.5803i | 0.0659182 | + | 0.0478924i | |||||
−164.862 | + | 226.913i | −0.296514 | + | 0.408116i | |||||
393.990 | + | 128.015i | 0.707344 | + | 0.229830i | 0.640527 | − | 0.767935i | ||
0.0668164 | + | 0.997765i | ||||||||
−1322.48 | + | 429.700i | −2.37003 | + | 0.770071i | |||||
327.244 | − | 237.757i | 0.585409 | − | 0.425325i | |||||
189.881i | 0.339074i | |||||||||
4.53112 | − | 91.7101i | 0.00807686 | − | 0.163476i | |||||
−432.475 | −0.769528 | |||||||||
−471.902 | − | 649.518i | −0.838193 | − | 1.15367i | −0.986342 | − | 0.164708i | ||
0.148150 | − | 0.988965i | ||||||||
−42.8224 | − | 131.794i | −0.0759262 | − | 0.233677i | |||||
−50.3107 | + | 154.840i | −0.0890455 | + | 0.274054i | |||||
474.827 | + | 344.982i | 0.838918 | + | 0.609509i | |||||
135.039 | − | 185.865i | 0.238164 | − | 0.327805i | |||||
−36.6786 | − | 11.9176i | −0.0645750 | − | 0.0209817i | |||||
436.517 | − | 141.833i | 0.767165 | − | 0.249267i | 0.100814 | − | 0.994905i | ||
0.666351 | + | 0.745638i | ||||||||
172.716 | − | 125.485i | 0.303010 | − | 0.220150i | |||||
− | 203.201i | − | 0.355869i | −0.984042 | − | 0.177935i | ||||
0.984042 | − | 0.177935i | ||||||||
−292.395 | − | 447.312i | −0.511180 | − | 0.782014i | |||||
−313.961 | −0.547924 | |||||||||
347.067 | + | 477.696i | 0.604646 | + | 0.832223i | |||||
56.8492 | + | 174.964i | 0.0988682 | + | 0.304285i | |||||
−97.9271 | + | 301.388i | −0.170012 | + | 0.523244i | |||||
−655.994 | − | 476.608i | −1.13690 | − | 0.826010i | −0.150220 | − | 0.988653i | ||
−0.986685 | + | 0.162643i | ||||||||
−431.362 | + | 593.718i | −0.746300 | + | 1.02719i | |||||
7.84696 | + | 2.54963i | 0.0135526 | + | 0.00440351i | |||||
−469.229 | + | 152.462i | −0.809016 | + | 0.262865i | |||||
−245.230 | + | 178.170i | −0.422082 | + | 0.306661i | |||||
185.351i | 0.318473i | |||||||||
−534.296 | − | 430.023i | −0.916460 | − | 0.737604i | |||||
−2072.33 | −3.54851 | |||||||||
61.4944 | + | 84.6398i | 0.105119 | + | 0.144684i | |||||
55.5972 | + | 171.111i | 0.0948758 | + | 0.291998i | |||||
18.3545 | − | 56.4895i | 0.0312684 | − | 0.0962342i | −0.934204 | − | 0.356738i | ||
0.965473 | + | 0.260504i | ||||||||
−212.983 | − | 154.741i | −0.362216 | − | 0.263165i | |||||
830.206 | − | 1142.68i | 1.40952 | − | 1.94003i | |||||
292.132 | + | 94.9196i | 0.495140 | + | 0.160881i | |||||
176.087 | − | 57.2141i | 0.297947 | − | 0.0968090i | |||||
−381.641 | + | 277.279i | −0.644665 | + | 0.468376i | |||||
1164.75i | 1.96416i | 0.188457 | + | 0.982081i | ||||||
−0.188457 | + | 0.982081i | ||||||||
−595.459 | + | 161.464i | −1.00246 | + | 0.271826i | |||||
79.0195 | 0.132806 | |||||||||
599.157 | + | 824.669i | 1.00530 | + | 1.38367i | |||||
−52.3322 | − | 161.062i | −0.0876586 | − | 0.269786i | |||||
230.612 | − | 709.749i | 0.385638 | − | 1.18687i | |||||
−196.571 | − | 142.817i | −0.328165 | − | 0.238426i | 0.411487 | − | 0.911416i | ||
−0.739651 | + | 0.672990i | ||||||||
−42.8169 | + | 58.9324i | −0.0713615 | + | 0.0982207i | |||||
−572.415 | − | 185.989i | −0.952438 | − | 0.309466i | −0.208732 | − | 0.977973i | ||
−0.743706 | + | 0.668507i | ||||||||
−927.181 | + | 301.260i | −1.54017 | + | 0.500431i | |||||
238.743 | − | 173.457i | 0.395925 | − | 0.287656i | |||||
− | 580.218i | − | 0.960626i | |||||||
269.247 | + | 26.6704i | 0.445036 | + | 0.0440833i | |||||
−302.698 | −0.499502 | |||||||||
135.753 | + | 186.849i | 0.223646 | + | 0.307823i | 0.906065 | − | 0.423139i | ||
−0.682418 | + | 0.730962i | ||||||||
121.600 | + | 374.246i | 0.200000 | + | 0.615537i | |||||
−29.3672 | + | 90.3829i | −0.0482220 | + | 0.148412i | |||||
−286.896 | − | 208.442i | −0.470321 | − | 0.341708i | |||||
−59.7326 | + | 82.2149i | −0.0977621 | + | 0.134558i | |||||
−589.017 | − | 191.383i | −0.962447 | − | 0.312718i | |||||
670.628 | − | 217.900i | 1.09401 | − | 0.355465i | 0.294215 | − | 0.955739i | ||
0.799794 | + | 0.600274i | ||||||||
1110.23 | − | 806.633i | 1.80820 | − | 1.31373i | |||||
88.3814i | 0.143710i | |||||||||
177.555 | + | 654.799i | 0.288239 | + | 1.06299i | |||||
−181.458 | −0.294097 | −0.147049 | − | 0.989129i | ||||||
−0.147049 | + | 0.989129i | ||||||||
84.2011 | + | 115.893i | 0.136248 | + | 0.187529i | |||||
323.645 | + | 996.077i | 0.522852 | + | 1.60917i | 0.768526 | + | 0.639819i | ||
−0.245674 | + | 0.969352i | ||||||||
−282.727 | + | 870.145i | −0.456012 | + | 1.40346i | |||||
−473.121 | − | 343.743i | −0.761870 | − | 0.553531i | |||||
84.6710 | − | 116.540i | 0.136127 | − | 0.187363i | |||||
393.210 | + | 127.762i | 0.631156 | + | 0.205075i | |||||
109.651 | − | 35.6277i | 0.175723 | − | 0.0570958i | |||||
−20.2254 | + | 14.6946i | −0.0323607 | + | 0.0235114i | |||||
1809.21i | 2.89012i | |||||||||
186.604 | − | 231.852i | 0.297614 | − | 0.369780i | |||||
1582.29 | 2.51956 | |||||||||
115.390 | + | 158.821i | 0.183450 | + | 0.252497i | |||||
−77.9191 | − | 239.810i | −0.123681 | − | 0.380651i | |||||
−104.631 | + | 322.020i | −0.165817 | + | 0.510333i | −0.999096 | − | 0.0425205i | ||
0.833278 | + | 0.552854i | ||||||||
539.360 | + | 391.868i | 0.853418 | + | 0.620044i | |||||
74.2626 | − | 102.214i | 0.117318 | − | 0.161475i | |||||
−590.197 | − | 191.767i | −0.930911 | − | 0.302471i | |||||
248.659 | − | 80.7941i | 0.391589 | − | 0.127235i | |||||
395.362 | − | 287.247i | 0.621638 | − | 0.451646i | |||||
193.060i | 0.303076i | |||||||||
−848.173 | + | 554.426i | −1.32942 | + | 0.869007i | |||||
19.9820 | 0.0312707 | |||||||||
251.464 | + | 346.111i | 0.392913 | + | 0.540798i | |||||
−218.541 | − | 672.600i | −0.340937 | − | 1.04930i | −0.963723 | − | 0.266905i | ||
0.622786 | − | 0.782393i | ||||||||
64.3596 | − | 198.079i | 0.100249 | − | 0.308534i | |||||
793.754 | + | 576.696i | 1.23445 | + | 0.896884i | 0.997216 | − | 0.0745679i | ||
0.237238 | + | 0.971451i | ||||||||
−717.605 | + | 987.698i | −1.11429 | + | 1.53369i | |||||
−138.781 | − | 45.0928i | −0.215165 | − | 0.0699114i | |||||
881.433 | − | 286.395i | 1.36445 | − | 0.443336i | |||||
−280.736 | + | 203.966i | −0.433904 | + | 0.315250i | −0.783208 | − | 0.621760i | ||
0.349304 | + | 0.937009i | ||||||||
919.417i | 1.41885i | |||||||||
427.690 | + | 21.1309i | 0.658998 | + | 0.0325591i | |||||
101.414 | 0.156021 | |||||||||
103.587 | + | 142.575i | 0.159120 | + | 0.219010i | |||||
−94.3195 | − | 290.286i | −0.144662 | − | 0.445223i | |||||
344.696 | − | 1060.87i | 0.527866 | − | 1.62460i | −0.230712 | − | 0.973022i | ||
0.758578 | − | 0.651582i | ||||||||
478.780 | + | 347.854i | 0.732079 | + | 0.531887i | |||||
−54.7371 | + | 75.3391i | −0.0835680 | + | 0.115022i | |||||
−876.848 | − | 284.905i | −1.33666 | − | 0.434307i | |||||
1021.17 | − | 331.798i | 1.55429 | − | 0.505019i | |||||
198.150 | − | 143.965i | 0.301141 | − | 0.218791i | |||||
− | 68.8178i | − | 0.104428i | −0.998636 | − | 0.0522138i | ||||
0.998636 | − | 0.0522138i | ||||||||
−68.5496 | + | 180.188i | −0.103863 | + | 0.273012i | |||||
−56.9620 | −0.0861754 | −0.0430877 | − | 0.999071i | ||||||
−0.0430877 | + | 0.999071i | ||||||||
−202.241 | − | 278.360i | −0.305500 | − | 0.420484i | |||||
−14.8266 | − | 45.6314i | −0.0223628 | − | 0.0688257i | |||||
374.860 | − | 1153.70i | 0.564548 | − | 1.73750i | |||||
207.207 | + | 150.545i | 0.311589 | + | 0.226383i | |||||
368.210 | − | 506.798i | 0.552868 | − | 0.760958i | |||||
−913.487 | − | 296.810i | −1.36955 | − | 0.444993i | |||||
1233.86 | − | 400.905i | 1.84709 | − | 0.600157i | |||||
−30.4320 | + | 22.1101i | −0.0454888 | + | 0.0330495i | |||||
− | 286.057i | − | 0.426950i | |||||||
−462.062 | − | 175.784i | −0.688617 | − | 0.261973i | |||||
−49.0988 | −0.0730637 | |||||||||
220.445 | + | 303.417i | 0.327556 | + | 0.450842i | 0.940755 | − | 0.339086i | ||
−0.613199 | + | 0.789928i | ||||||||
169.186 | + | 520.701i | 0.251018 | + | 0.772554i | |||||
24.5581 | − | 75.5821i | 0.0363824 | − | 0.111974i | |||||
929.707 | + | 675.472i | 1.37531 | + | 0.999218i | |||||
−341.663 | + | 470.259i | −0.504672 | + | 0.694621i | −0.983009 | − | 0.183555i | ||
0.478338 | + | 0.878176i | ||||||||
−226.596 | − | 73.6255i | −0.334212 | − | 0.108592i | |||||
−211.483 | + | 68.7149i | −0.311462 | + | 0.101200i | |||||
−255.837 | + | 185.877i | −0.376231 | + | 0.273348i | |||||
− | 176.658i | − | 0.259410i | |||||||
−92.7269 | + | 1876.80i | −0.135963 | + | 2.75190i | |||||
−688.418 | −1.00793 | −0.503966 | − | 0.863723i | ||||||
−0.503966 | + | 0.863723i | ||||||||
−1179.92 | − | 1624.02i | −1.72503 | − | 2.37430i | |||||
73.2394 | + | 225.408i | 0.106919 | + | 0.329062i | |||||
353.549 | − | 1088.11i | 0.515377 | − | 1.58617i | |||||
−172.465 | − | 125.303i | −0.251041 | − | 0.182392i | |||||
894.749 | − | 1231.52i | 1.30051 | − | 1.78999i | |||||
−340.838 | − | 110.745i | −0.494685 | − | 0.160733i | |||||
−256.045 | + | 83.1940i | −0.371080 | + | 0.120571i | |||||
−479.696 | + | 348.519i | −0.694205 | + | 0.504369i | −0.878040 | − | 0.478588i | ||
0.183835 | + | 0.982957i | ||||||||
− | 14.6320i | − | 0.0211445i | |||||||
−192.331 | − | 294.233i | −0.277535 | − | 0.424578i | |||||
177.215 | 0.255353 | |||||||||
−43.6150 | − | 60.0308i | −0.0627553 | − | 0.0863753i | |||||
−117.526 | − | 361.707i | −0.168859 | − | 0.519695i | |||||
−118.564 | + | 364.902i | −0.170106 | + | 0.523532i | |||||
−441.100 | − | 320.478i | −0.631948 | − | 0.459137i | |||||
103.210 | − | 142.056i | 0.147654 | − | 0.203228i | |||||
−157.787 | − | 51.2681i | −0.225410 | − | 0.0732401i | |||||
−563.333 | + | 183.038i | −0.803613 | + | 0.261110i | −0.681890 | − | 0.731455i | ||
−0.121723 | + | 0.992564i | ||||||||
−260.812 | + | 189.491i | −0.371527 | + | 0.269930i | |||||
636.300i | 0.905120i | |||||||||
333.608 | + | 268.501i | 0.473875 | + | 0.381394i | |||||
36.6610 | 0.0520014 | |||||||||
−1159.75 | − | 1596.26i | −1.64270 | − | 2.26099i | |||||
−112.219 | − | 345.373i | −0.158725 | − | 0.488505i | |||||
−94.2860 | + | 290.183i | −0.133172 | + | 0.409862i | |||||
238.019 | + | 172.931i | 0.335711 | + | 0.243909i | 0.742850 | − | 0.669458i | ||
−0.407139 | + | 0.913366i | ||||||||
11.3851 | − | 15.6702i | 0.0160353 | − | 0.0220707i | |||||
−328.518 | − | 106.742i | −0.462051 | − | 0.150129i | |||||
−1573.61 | + | 511.296i | −2.21012 | + | 0.718112i | |||||
−1440.99 | + | 1046.94i | −2.02102 | + | 1.46836i | |||||
115.638i | 0.161959i | |||||||||
136.450 | − | 36.9999i | 0.190840 | − | 0.0517480i | |||||
−731.066 | −1.02104 | |||||||||
61.1349 | + | 84.1449i | 0.0852648 | + | 0.117357i | |||||
−741.424 | − | 2281.87i | −1.03262 | − | 3.17809i | |||||
184.687 | − | 568.407i | 0.256866 | − | 0.790552i | −0.736590 | − | 0.676339i | ||
0.993456 | − | 0.114213i | ||||||||
318.525 | + | 231.422i | 0.442396 | + | 0.321419i | |||||
−101.016 | + | 139.037i | −0.140105 | + | 0.192839i | |||||
1645.40 | + | 534.624i | 2.27895 | + | 0.740477i | |||||
104.178 | − | 33.8493i | 0.144091 | − | 0.0468179i | |||||
1224.82 | − | 889.887i | 1.69175 | − | 1.22913i | |||||
− | 130.525i | − | 0.180035i | |||||||
−39.0299 | + | 394.020i | −0.0537602 | + | 0.542727i | |||||
165.031 | 0.227003 | 0.113502 | − | 0.993538i | ||||||
0.113502 | + | 0.993538i | ||||||||
208.375 | + | 286.803i | 0.286229 | + | 0.393960i | |||||
−106.214 | − | 326.894i | −0.145699 | − | 0.448415i | |||||
321.627 | − | 989.867i | 0.440585 | − | 1.35598i | |||||
−512.498 | − | 372.351i | −0.701091 | − | 0.509372i | |||||
207.051 | − | 284.981i | 0.282856 | − | 0.389318i | |||||
−35.3224 | − | 11.4769i | −0.0481888 | − | 0.0156575i | 0.284823 | − | 0.958580i | ||
−0.333012 | + | 0.942923i | ||||||||
1510.49 | − | 490.788i | 2.05789 | − | 0.668649i | |||||
56.3457 | − | 40.9375i | 0.0766608 | − | 0.0556973i | |||||
− | 496.235i | − | 0.674232i | |||||||
−104.365 | − | 384.884i | −0.141608 | − | 0.522231i | |||||
1224.33 | 1.65898 | |||||||||
−152.133 | − | 209.393i | −0.205864 | − | 0.283347i | 0.693584 | − | 0.720376i | ||
−0.899447 | + | 0.437029i | ||||||||
−127.369 | − | 392.000i | −0.172120 | − | 0.529730i | |||||
48.0565 | − | 147.903i | 0.0648536 | − | 0.199599i | |||||
698.785 | + | 507.697i | 0.941758 | + | 0.684228i | |||||
−329.255 | + | 453.181i | −0.443143 | + | 0.609933i | −0.970907 | − | 0.239457i | ||
0.527764 | + | 0.849391i | ||||||||
−670.756 | − | 217.942i | −0.901553 | − | 0.292932i | |||||
−256.474 | + | 83.3335i | −0.344261 | + | 0.111857i | |||||
1131.29 | − | 821.932i | 1.51648 | − | 1.10179i | |||||
628.519i | 0.841391i | |||||||||
−524.744 | + | 651.986i | −0.701530 | + | 0.871639i | |||||
249.864 | 0.333597 | |||||||||
−21.5044 | − | 29.5982i | −0.0286725 | − | 0.0394643i | |||||
−231.599 | − | 712.788i | −0.308387 | − | 0.949119i | −0.978391 | − | 0.206761i | ||
0.670004 | − | 0.742358i | ||||||||
−118.180 | + | 363.720i | −0.157154 | + | 0.483671i | |||||
−138.081 | − | 100.322i | −0.183374 | − | 0.133229i | |||||
−311.222 | + | 428.360i | −0.412761 | + | 0.568116i | |||||
145.987 | + | 47.4340i | 0.193360 | + | 0.0628264i | |||||
501.584 | − | 162.975i | 0.663471 | − | 0.215575i | |||||
−692.859 | + | 503.392i | −0.915270 | + | 0.664982i | −0.942342 | − | 0.334651i | ||
0.0270725 | + | 0.999633i | ||||||||
− | 1874.75i | − | 2.47329i | |||||||
−314.151 | + | 205.352i | −0.413902 | + | 0.270556i | |||||
−1024.99 | −1.34867 | |||||||||
−94.4945 | − | 130.061i | −0.124172 | − | 0.170907i | 0.742405 | − | 0.669951i | ||
−0.866577 | + | 0.499043i | ||||||||
118.235 | + | 363.891i | 0.155165 | + | 0.477548i | |||||
−219.398 | + | 675.238i | −0.287547 | + | 0.884978i | |||||
2315.11 | + | 1682.03i | 3.03025 | + | 2.20161i | |||||
96.3066 | − | 132.555i | 0.125891 | − | 0.173274i | |||||
2074.18 | + | 673.942i | 2.70781 | + | 0.879820i | |||||
212.802 | − | 69.1436i | 0.277447 | − | 0.0901481i | |||||
−389.678 | + | 283.118i | −0.507393 | + | 0.368643i | |||||
− | 81.4227i | − | 0.105881i | −0.998598 | − | 0.0529407i | ||||
0.998598 | − | 0.0529407i | ||||||||
−340.327 | − | 16.8145i | −0.441983 | − | 0.0218371i | |||||
372.159 | 0.482697 | |||||||||
−44.2031 | − | 60.8404i | −0.0572579 | − | 0.0788088i | |||||
140.758 | + | 433.209i | 0.182094 | + | 0.560426i | 0.999886 | − | 0.0150867i | ||
−0.817793 | + | 0.575513i | ||||||||
−624.660 | + | 1922.51i | −0.807055 | + | 2.48386i | |||||
−195.821 | − | 142.272i | −0.252672 | − | 0.183577i | |||||
523.068 | − | 719.942i | 0.674057 | − | 0.927760i | |||||
−75.5070 | − | 24.5337i | −0.0971776 | − | 0.0315749i | |||||
42.5877 | − | 13.8376i | 0.0547400 | − | 0.0177861i | |||||
−1006.10 | + | 730.972i | −1.29152 | + | 0.938346i | |||||
100.737i | 0.129150i | |||||||||
9.60130 | − | 25.2378i | 0.0122936 | − | 0.0323147i | |||||
−1168.74 | −1.49456 | |||||||||
243.885 | + | 335.679i | 0.311476 | + | 0.428709i | |||||
224.514 | + | 690.982i | 0.286369 | + | 0.881354i | |||||
−129.355 | + | 398.113i | −0.164783 | + | 0.507151i | |||||
−110.252 | − | 80.1031i | −0.140270 | − | 0.101912i | |||||
70.2003 | − | 96.6224i | 0.0891999 | − | 0.122773i | −0.762085 | − | 0.647477i | ||
0.851285 | + | 0.524704i | ||||||||
−1604.97 | − | 521.486i | −2.03676 | − | 0.661784i | |||||
64.3694 | − | 20.9149i | 0.0815836 | − | 0.0265081i | |||||
−270.888 | + | 196.812i | −0.342896 | + | 0.249129i | |||||
− | 285.837i | − | 0.361362i | |||||||
1314.82 | + | 500.202i | 1.66013 | + | 0.631568i | |||||
−258.323 | −0.325754 | |||||||||
−499.414 | − | 687.385i | −0.628985 | − | 0.865724i | |||||
39.9517 | + | 122.959i | 0.0502537 | + | 0.154665i | |||||
−476.989 | + | 1468.02i | −0.599233 | + | 1.84425i | |||||
1109.47 | + | 806.080i | 1.39206 | + | 1.01139i | 0.995636 | + | 0.0933265i | ||
0.396427 | + | 0.918066i | ||||||||
−220.309 | + | 303.230i | −0.276077 | + | 0.379987i | |||||
151.363 | + | 49.1808i | 0.189440 | + | 0.0615529i | |||||
64.1345 | − | 20.8386i | 0.0801681 | − | 0.0260482i | |||||
693.553 | − | 503.895i | 0.865858 | − | 0.629083i | |||||
2537.95i | 3.16453i | |||||||||
71.6002 | − | 1449.19i | 0.0891659 | − | 1.80472i | |||||
284.147 | 0.353417 | |||||||||
−189.846 | − | 261.300i | −0.235833 | − | 0.324597i | |||||
303.417 | + | 933.822i | 0.376448 | + | 1.15859i | |||||
−57.3519 | + | 176.511i | −0.0710680 | + | 0.218725i | |||||
1175.74 | + | 854.225i | 1.45512 | + | 1.05721i | |||||
−7.99326 | + | 11.0018i | −0.00988042 | + | 0.0135992i | −0.813929 | − | 0.580965i | ||
0.804048 | + | 0.594564i | ||||||||
−439.167 | − | 142.694i | −0.542182 | − | 0.176166i | |||||
−203.261 | + | 66.0435i | −0.250630 | + | 0.0814346i | −0.431638 | − | 0.902047i | ||
0.181008 | + | 0.983482i | ||||||||
700.772 | − | 509.141i | 0.863020 | − | 0.627020i | |||||
− | 141.356i | − | 0.173869i | |||||||
−463.175 | − | 708.575i | −0.569011 | − | 0.870485i | |||||
80.7486 | 0.0990780 | |||||||||
−106.132 | − | 146.078i | −0.130063 | − | 0.179017i | |||||
−634.495 | − | 1952.78i | −0.776616 | − | 2.39018i | |||||
116.810 | − | 359.505i | 0.142800 | − | 0.439492i | |||||
−148.599 | − | 107.963i | −0.181439 | − | 0.131823i | |||||
473.499 | − | 651.715i | 0.577438 | − | 0.794775i | |||||
1240.59 | + | 403.092i | 1.51107 | + | 0.490977i | 0.943224 | − | 0.332157i | ||
0.567848 | + | 0.823134i | ||||||||
−329.865 | + | 107.180i | −0.401296 | + | 0.130389i | |||||
−231.338 | + | 168.077i | −0.281091 | + | 0.204225i | −0.719393 | − | 0.694603i | ||
0.438302 | + | 0.898828i | ||||||||
− | 687.770i | − | 0.834672i | |||||||
−39.7324 | − | 31.9782i | −0.0481605 | − | 0.0387615i | |||||
−539.279 | −0.652881 | |||||||||
−328.834 | − | 452.602i | −0.397623 | − | 0.547282i | 0.562522 | − | 0.826782i | ||
−0.960146 | + | 0.279501i | ||||||||
782.262 | + | 2407.55i | 0.944761 | + | 2.90767i | |||||
−279.385 | + | 859.857i | −0.337014 | + | 1.03722i | 0.628707 | + | 0.777642i | ||
−0.965721 | + | 0.259580i | ||||||||
492.896 | + | 358.110i | 0.593851 | + | 0.431458i | |||||
−112.999 | + | 155.530i | −0.135980 | + | 0.187160i | |||||
212.815 | + | 69.1477i | 0.255787 | + | 0.0831103i | |||||
287.553 | − | 93.4317i | 0.345202 | − | 0.112163i | |||||
87.8501 | − | 63.8268i | 0.105336 | − | 0.0765310i | |||||
343.221i | 0.411044i | |||||||||
−2618.13 | + | 709.932i | −3.13174 | + | 0.849201i | |||||
769.439 | 0.919281 | |||||||||
61.1361 | + | 84.1466i | 0.0729548 | + | 0.100414i | |||||
−49.7340 | − | 153.066i | −0.0592778 | − | 0.182438i | 0.917033 | − | 0.398811i | ||
−0.976311 | + | 0.216373i | ||||||||
39.5202 | − | 121.631i | 0.0470479 | − | 0.144799i | |||||
−129.060 | − | 93.7676i | −0.153460 | − | 0.111495i | |||||
857.096 | − | 1179.69i | 1.01793 | − | 1.40106i | |||||
108.087 | + | 35.1196i | 0.128217 | + | 0.0416603i | |||||
−1095.21 | + | 355.855i | −1.29764 | + | 0.421629i | |||||
−245.958 | + | 178.699i | −0.291075 | + | 0.211478i | |||||
− | 507.856i | − | 0.600303i | |||||||
−464.039 | + | 101.542i | −0.547862 | + | 0.119884i | |||||
−1348.68 | −1.59043 | |||||||||
−90.6575 | − | 124.779i | −0.106782 | − | 0.146972i | |||||
−49.0794 | − | 151.051i | −0.0577405 | − | 0.177707i | |||||
247.959 | − | 763.139i | 0.291374 | − | 0.896756i | |||||
15.5656 | + | 11.3091i | 0.0182695 | + | 0.0132736i | |||||
859.656 | − | 1183.22i | 1.00780 | − | 1.38712i | 0.0873903 | − | 0.996174i | ||
0.920413 | − | 0.390948i | ||||||||
592.125 | + | 192.393i | 0.693355 | + | 0.225285i | |||||
505.075 | − | 164.109i | 0.590731 | − | 0.191940i | |||||
−808.971 | + | 587.752i | −0.945059 | + | 0.686626i | |||||
− | 874.204i | − | 1.02007i | −0.860152 | − | 0.510037i | ||||
0.860152 | − | 0.510037i | ||||||||
54.1462 | + | 199.684i | 0.0631075 | + | 0.232732i | |||||
984.004 | 1.14552 | 0.572761 | − | 0.819722i | ||||||
0.572761 | + | 0.819722i | ||||||||
781.778 | + | 1076.02i | 0.909044 | + | 1.25119i | |||||
−47.9494 | − | 147.573i | −0.0556904 | − | 0.171397i | |||||
−213.948 | + | 658.463i | −0.248199 | + | 0.763878i | |||||
1110.66 | + | 806.939i | 1.28697 | + | 0.935039i | 0.999740 | − | 0.0228217i | ||
0.287232 | + | 0.957861i | ||||||||
−126.002 | + | 173.427i | −0.145835 | + | 0.200725i | |||||
3.68151 | + | 1.19620i | 0.00425608 | + | 0.00138289i | |||||
−281.911 | + | 91.5985i | −0.325533 | + | 0.105772i | |||||
156.023 | − | 113.357i | 0.179957 | − | 0.130746i | |||||
− | 1606.30i | − | 1.85057i | |||||||
−292.670 | + | 363.638i | −0.336790 | + | 0.418456i | |||||
191.013 | 0.219555 | |||||||||
−122.480 | − | 168.580i | −0.140620 | − | 0.193547i | |||||
−878.020 | − | 2702.27i | −1.00690 | − | 3.09893i | |||||
−142.480 | + | 438.508i | −0.163207 | + | 0.502300i | |||||
−3064.70 | − | 2226.64i | −3.50653 | − | 2.54764i | |||||
25.7988 | − | 35.5090i | 0.0294843 | − | 0.0405817i | |||||
983.260 | + | 319.481i | 1.12244 | + | 0.364704i | |||||
−771.335 | + | 250.622i | −0.879516 | + | 0.285772i | −0.713756 | − | 0.700394i | ||
−0.165760 | + | 0.986166i | ||||||||
398.927 | − | 289.838i | 0.454359 | − | 0.330111i | |||||
− | 47.2800i | − | 0.0537884i | |||||||
445.343 | − | 291.108i | 0.506071 | − | 0.330804i | |||||
−348.997 | −0.396137 | −0.198069 | − | 0.980188i | ||||||
−0.198069 | + | 0.980188i | ||||||||
−567.098 | − | 780.543i | −0.642968 | − | 0.884970i | |||||
302.060 | + | 929.644i | 0.342084 | + | 1.05282i | 0.963127 | + | 0.269049i | ||
−0.621043 | + | 0.783776i | ||||||||
−135.139 | + | 415.914i | −0.152872 | + | 0.470491i | |||||
−65.3038 | − | 47.4460i | −0.0737896 | − | 0.0536113i | |||||
−613.519 | + | 844.436i | −0.692459 | + | 0.953088i | |||||
14.4247 | + | 4.68686i | 0.0162623 | + | 0.00528395i | 0.317137 | − | 0.948380i | ||
−0.300875 | + | 0.953664i | ||||||||
302.175 | − | 98.1827i | 0.340287 | − | 0.110566i | |||||
−371.360 | + | 269.809i | −0.417728 | + | 0.303497i | |||||
− | 831.000i | − | 0.933708i | |||||||
−642.952 | − | 31.7663i | −0.721608 | − | 0.0356525i | |||||
342.856 | 0.384368 | |||||||||
303.210 | + | 417.333i | 0.339541 | + | 0.467338i | |||||
−121.952 | − | 375.329i | −0.136411 | − | 0.419831i | |||||
59.7661 | − | 183.941i | 0.0667777 | − | 0.205521i | |||||
−607.652 | − | 441.485i | −0.678184 | − | 0.492729i | |||||
−115.272 | + | 158.659i | −0.128509 | + | 0.176877i | |||||
−2209.18 | − | 717.807i | −2.46011 | − | 0.799340i | |||||
1201.88 | − | 390.515i | 1.33691 | − | 0.434388i | |||||
−278.308 | + | 202.202i | −0.309231 | + | 0.224669i | |||||
561.257i | 0.622926i | |||||||||
588.287 | − | 1546.36i | 0.652203 | − | 1.71437i | |||||
256.192 | 0.283712 | |||||||||
672.370 | + | 925.438i | 0.743773 | + | 1.02372i | |||||
123.770 | + | 380.924i | 0.136762 | + | 0.420910i | |||||
−69.4156 | + | 213.639i | −0.0766177 | + | 0.235805i | |||||
−450.207 | − | 327.095i | −0.496369 | − | 0.360634i | 0.311259 | − | 0.950325i | ||
−0.807629 | + | 0.589692i | ||||||||
−946.436 | + | 1302.66i | −1.04233 | + | 1.43464i | |||||
−716.130 | − | 232.685i | −0.787821 | − | 0.255979i | |||||
−169.334 | + | 55.0199i | −0.186081 | + | 0.0604614i | |||||
264.619 | − | 192.257i | 0.290471 | − | 0.211039i | −0.433001 | − | 0.901394i | ||
0.723472 | + | 0.690354i | ||||||||
− | 585.246i | − | 0.641717i | |||||||
793.837 | + | 302.002i | 0.869482 | + | 0.330780i | |||||
523.660 | 0.572932 | |||||||||
54.7763 | + | 75.3931i | 0.0598648 | + | 0.0823968i | |||||
600.434 | + | 1847.94i | 0.655495 | + | 2.01741i | |||||
50.5226 | − | 155.492i | 0.0550955 | − | 0.169567i | |||||
408.458 | + | 296.762i | 0.444943 | + | 0.323270i | |||||
312.999 | − | 430.806i | 0.340586 | − | 0.468776i | −0.604026 | − | 0.796964i | ||
0.944612 | + | 0.328188i | ||||||||
1229.31 | + | 399.426i | 1.33620 | + | 0.434158i | |||||
−342.981 | + | 111.441i | −0.372401 | + | 0.121000i | |||||
1429.75 | − | 1038.77i | 1.55070 | − | 1.12665i | |||||
− | 14.1096i | − | 0.0152866i | |||||||
16.7023 | − | 338.056i | 0.0180761 | − | 0.365861i | |||||
109.042 | 0.117884 | |||||||||
−827.113 | − | 1138.42i | −0.893210 | − | 1.22940i | |||||
110.118 | + | 338.907i | 0.118789 | + | 0.365596i | |||||
−108.798 | + | 334.847i | −0.117240 | + | 0.360826i | |||||
−617.340 | − | 448.524i | −0.664521 | − | 0.482803i | 0.203666 | − | 0.979041i | ||
−0.868187 | + | 0.496238i | ||||||||
208.203 | − | 286.567i | 0.223875 | − | 0.308137i | |||||
932.031 | + | 302.835i | 1.00111 | + | 0.325279i | |||||
−1522.12 | + | 494.566i | −1.63317 | + | 0.530650i | |||||
−30.6253 | + | 22.2506i | −0.0328246 | + | 0.0238484i | |||||
2219.26i | 2.37608i | |||||||||
−121.145 | − | 185.330i | −0.129567 | − | 0.198214i | |||||
735.071 | 0.785332 | |||||||||
930.495 | + | 1280.72i | 0.993058 | + | 1.36683i | 0.929489 | + | 0.368850i | ||
0.0635691 | + | 0.997977i | ||||||||
155.194 | + | 477.638i | 0.165452 | + | 0.509209i | |||||
146.919 | − | 452.172i | 0.156464 | − | 0.481546i | |||||
−270.334 | − | 196.409i | −0.287590 | − | 0.208946i | |||||
−325.495 | + | 448.005i | −0.345903 | + | 0.476094i | −0.946154 | − | 0.323717i | ||
0.600251 | + | 0.799812i | ||||||||
−582.606 | − | 189.300i | −0.618477 | − | 0.200956i | |||||
1491.50 | − | 484.619i | 1.58166 | − | 0.513912i | |||||
681.233 | − | 494.945i | 0.721645 | − | 0.524306i | |||||
139.525i | 0.147646i | |||||||||
2128.03 | + | 1712.72i | 2.24950 | + | 1.81049i | |||||
945.630 | 0.998553 | 0.499276 | − | 0.866443i | ||||||
0.499276 | + | 0.866443i | ||||||||
−195.498 | − | 269.080i | −0.206222 | − | 0.283840i | |||||
−234.287 | − | 721.062i | −0.246878 | − | 0.759813i | |||||
159.078 | − | 489.593i | 0.167451 | − | 0.515361i | |||||
131.934 | + | 95.8555i | 0.138732 | + | 0.100794i | |||||
326.336 | − | 449.163i | 0.342790 | − | 0.471810i | |||||
−602.472 | − | 195.755i | −0.632185 | − | 0.205409i | −0.0246421 | − | 0.999696i | ||
−0.607543 | + | 0.794287i | ||||||||
1703.32 | − | 553.441i | 1.78545 | − | 0.580127i | |||||
−612.474 | + | 444.989i | −0.641334 | + | 0.465957i | |||||
− | 948.003i | − | 0.991635i | |||||||
257.004 | − | 69.6892i | 0.268552 | − | 0.0728205i | |||||
−340.353 | −0.355275 | |||||||||
−244.580 | − | 336.636i | −0.255037 | − | 0.351028i | |||||
−24.9453 | − | 76.7738i | −0.0259847 | − | 0.0799727i | |||||
427.212 | − | 1314.82i | 0.444549 | − | 1.36818i | |||||
−357.857 | − | 259.999i | −0.371993 | − | 0.270269i | |||||
304.527 | − | 419.145i | 0.316227 | − | 0.435249i | |||||
−949.540 | − | 308.524i | −0.985000 | − | 0.320046i | |||||
18.9215 | − | 6.14798i | 0.0196078 | − | 0.00637096i | |||||
382.391 | − | 277.823i | 0.395850 | − | 0.287602i | |||||
− | 855.136i | − | 0.884318i | −0.896937 | − | 0.442159i | ||||
0.896937 | − | 0.442159i | ||||||||
1263.54 | − | 1420.31i | 1.30531 | − | 1.46726i | |||||
−243.551 | −0.251343 | |||||||||
262.706 | + | 361.583i | 0.270831 | + | 0.372766i | |||||
306.329 | + | 942.784i | 0.315478 | + | 0.970942i | 0.975557 | + | 0.219746i | ||
−0.660079 | + | 0.751196i | ||||||||
515.368 | − | 1586.14i | 0.530214 | − | 1.63183i | |||||
105.394 | + | 76.5730i | 0.108318 | + | 0.0786979i | |||||
−1659.33 | + | 2283.88i | −1.70363 | + | 2.34484i | |||||
−25.3460 | − | 8.23543i | −0.0259959 | − | 0.00844659i | |||||
−924.565 | + | 300.409i | −0.947300 | + | 0.307796i | |||||
−46.4848 | + | 33.7732i | −0.0475791 | + | 0.0345682i | −0.611321 | − | 0.791383i | ||
0.563742 | + | 0.825951i | ||||||||
118.169i | 0.120827i | |||||||||
−303.183 | − | 1118.10i | −0.309686 | − | 1.14208i | |||||
−634.808 | −0.647763 | |||||||||
865.312 | + | 1191.00i | 0.882071 | + | 1.21407i | |||||
−917.657 | − | 2824.26i | −0.934477 | − | 2.87603i | |||||
218.826 | − | 673.476i | 0.222610 | − | 0.685123i | −0.775915 | − | 0.630837i | ||
0.998525 | − | 0.0542862i | ||||||||
502.378 | + | 364.999i | 0.510546 | + | 0.370934i | |||||
262.418 | − | 361.188i | 0.266415 | − | 0.366688i | |||||
788.638 | + | 256.244i | 0.799835 | + | 0.259882i | |||||
−61.2140 | + | 19.8896i | −0.0620203 | + | 0.0201516i | |||||
−1146.74 | + | 833.159i | −1.16067 | + | 0.843278i | |||||
2589.30i | 2.61810i | |||||||||
−442.987 | + | 550.403i | −0.447461 | + | 0.555963i | |||||
1006.83 | 1.01598 | 0.507989 | − | 0.861363i | ||||||
0.507989 | + | 0.861363i | ||||||||
383.765 | + | 528.207i | 0.386860 | + | 0.532467i | |||||
27.9408 | + | 85.9930i | 0.0281378 | + | 0.0865992i | |||||
−10.5085 | + | 32.3418i | −0.0105719 | + | 0.0325370i | |||||
−330.369 | − | 240.027i | −0.332029 | − | 0.241233i | |||||
−355.720 | + | 489.606i | −0.357148 | + | 0.491573i | |||||
537.627 | + | 174.686i | 0.539245 | + | 0.175211i | 0.565961 | − | 0.824432i | ||
−0.0267164 | + | 0.999643i | ||||||||
−2398.92 | + | 779.456i | −2.40373 | + | 0.781018i | |||||
−280.431 | + | 203.745i | −0.280712 | + | 0.203949i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 55.3.i.d.41.3 | ✓ | 12 | |
5.2 | odd | 4 | 275.3.q.f.74.1 | 24 | |||
5.3 | odd | 4 | 275.3.q.f.74.6 | 24 | |||
5.4 | even | 2 | 275.3.x.f.151.1 | 12 | |||
11.2 | odd | 10 | 605.3.c.d.241.11 | 12 | |||
11.7 | odd | 10 | inner | 55.3.i.d.51.3 | yes | 12 | |
11.9 | even | 5 | 605.3.c.d.241.2 | 12 | |||
55.7 | even | 20 | 275.3.q.f.249.6 | 24 | |||
55.18 | even | 20 | 275.3.q.f.249.1 | 24 | |||
55.29 | odd | 10 | 275.3.x.f.51.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
55.3.i.d.41.3 | ✓ | 12 | 1.1 | even | 1 | trivial | |
55.3.i.d.51.3 | yes | 12 | 11.7 | odd | 10 | inner | |
275.3.q.f.74.1 | 24 | 5.2 | odd | 4 | |||
275.3.q.f.74.6 | 24 | 5.3 | odd | 4 | |||
275.3.q.f.249.1 | 24 | 55.18 | even | 20 | |||
275.3.q.f.249.6 | 24 | 55.7 | even | 20 | |||
275.3.x.f.51.1 | 12 | 55.29 | odd | 10 | |||
275.3.x.f.151.1 | 12 | 5.4 | even | 2 | |||
605.3.c.d.241.2 | 12 | 11.9 | even | 5 | |||
605.3.c.d.241.11 | 12 | 11.2 | odd | 10 |