Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,4,Mod(55,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.55");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 162.c (of order , degree , not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
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 | 55.1 | ||
Root | of defining polynomial | ||
Character | 162.55 | ||
Dual form | 162.4.c.j.109.1 |
-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 .
1.00000 | − | 1.73205i | 0.353553 | − | 0.612372i | |||||
0 | 0 | |||||||||
−2.00000 | − | 3.46410i | −0.250000 | − | 0.433013i | |||||
0.401924 | + | 0.696152i | 0.0359492 | + | 0.0622658i | 0.883440 | − | 0.468544i | ||
−0.847491 | + | 0.530810i | ||||||||
0 | 0 | |||||||||
1.19615 | − | 2.07180i | 0.0645862 | − | 0.111867i | −0.831924 | − | 0.554889i | ||
0.896510 | + | 0.443023i | ||||||||
−8.00000 | −0.353553 | |||||||||
0 | 0 | |||||||||
1.60770 | 0.0508398 | |||||||||
29.7846 | − | 51.5885i | 0.816400 | − | 1.41405i | −0.0919186 | − | 0.995767i | ||
0.908318 | − | 0.418279i | ||||||||
0 | 0 | |||||||||
−38.8731 | − | 67.3301i | −0.829342 | − | 1.43646i | −0.898555 | − | 0.438861i | ||
0.0692128 | − | 0.997602i | ||||||||
−2.39230 | − | 4.14359i | −0.0456693 | − | 0.0791016i | |||||
0 | 0 | |||||||||
−8.00000 | + | 13.8564i | −0.125000 | + | 0.216506i | |||||
−2.84232 | −0.0405509 | −0.0202754 | − | 0.999794i | ||||||
−0.0202754 | + | 0.999794i | ||||||||
0 | 0 | |||||||||
−118.315 | −1.42860 | −0.714300 | − | 0.699840i | ||||||
−0.714300 | + | 0.699840i | ||||||||
1.60770 | − | 2.78461i | 0.0179746 | − | 0.0311329i | |||||
0 | 0 | |||||||||
−59.5692 | − | 103.177i | −0.577282 | − | 0.999881i | |||||
55.3923 | + | 95.9423i | 0.502178 | + | 0.869798i | 0.999997 | + | 0.00251677i | ||
−0.497819 | + | 0.867281i | ||||||||
0 | 0 | |||||||||
62.1769 | − | 107.694i | 0.497415 | − | 0.861549i | |||||
−155.492 | −1.17287 | |||||||||
0 | 0 | |||||||||
−9.56922 | −0.0645862 | |||||||||
62.8135 | − | 108.796i | 0.402213 | − | 0.696653i | −0.591780 | − | 0.806100i | ||
0.993993 | + | 0.109447i | ||||||||
0 | 0 | |||||||||
−31.5307 | − | 54.6128i | −0.182680 | − | 0.316412i | 0.760112 | − | 0.649792i | ||
−0.942792 | + | 0.333380i | ||||||||
16.0000 | + | 27.7128i | 0.0883883 | + | 0.153093i | |||||
0 | 0 | |||||||||
−2.84232 | + | 4.92305i | −0.0143369 | + | 0.0248322i | |||||
1.92305 | 0.00928727 | |||||||||
0 | 0 | |||||||||
−227.392 | −1.01035 | −0.505177 | − | 0.863016i | ||||||
−0.505177 | + | 0.863016i | ||||||||
−118.315 | + | 204.928i | −0.505086 | + | 0.874835i | |||||
0 | 0 | |||||||||
−3.21539 | − | 5.56922i | −0.0127099 | − | 0.0220143i | |||||
162.315 | + | 281.138i | 0.618278 | + | 1.07089i | 0.989800 | + | 0.142465i | ||
−0.371522 | + | 0.928424i | ||||||||
0 | 0 | |||||||||
136.412 | − | 236.272i | 0.483781 | − | 0.837933i | −0.516046 | − | 0.856561i | ||
0.999826 | + | 0.0186284i | ||||||||
−238.277 | −0.816400 | |||||||||
0 | 0 | |||||||||
221.569 | 0.710187 | |||||||||
−2.46926 | + | 4.27688i | −0.00766336 | + | 0.0132733i | −0.869832 | − | 0.493349i | ||
0.862168 | + | 0.506622i | ||||||||
0 | 0 | |||||||||
168.638 | + | 292.090i | 0.491657 | + | 0.851575i | |||||
−124.354 | − | 215.387i | −0.351726 | − | 0.609207i | |||||
0 | 0 | |||||||||
−155.492 | + | 269.321i | −0.414671 | + | 0.718231i | |||||
598.908 | 1.55219 | 0.776097 | − | 0.630614i | ||||||
0.776097 | + | 0.630614i | ||||||||
0 | 0 | |||||||||
47.8846 | 0.117396 | |||||||||
−9.56922 | + | 16.5744i | −0.0228347 | + | 0.0395508i | |||||
0 | 0 | |||||||||
−125.627 | − | 217.592i | −0.284407 | − | 0.492608i | |||||
−335.138 | − | 580.477i | −0.739514 | − | 1.28088i | −0.952714 | − | 0.303867i | ||
0.213201 | − | 0.977008i | ||||||||
0 | 0 | |||||||||
−232.265 | + | 402.295i | −0.487517 | + | 0.844404i | −0.999897 | − | 0.0143547i | ||
0.512380 | + | 0.858759i | ||||||||
−126.123 | −0.258349 | |||||||||
0 | 0 | |||||||||
64.0000 | 0.125000 | |||||||||
31.2480 | − | 54.1232i | 0.0596283 | − | 0.103279i | |||||
0 | 0 | |||||||||
384.535 | + | 666.033i | 0.701170 | + | 1.21446i | 0.968056 | + | 0.250734i | ||
−0.266886 | + | 0.963728i | ||||||||
5.68465 | + | 9.84610i | 0.0101377 | + | 0.0175590i | |||||
0 | 0 | |||||||||
1.92305 | − | 3.33082i | 0.00328355 | − | 0.00568727i | |||||
611.569 | 1.02225 | 0.511126 | − | 0.859506i | ||||||
0.511126 | + | 0.859506i | ||||||||
0 | 0 | |||||||||
923.831 | 1.48118 | 0.740590 | − | 0.671957i | ||||||
0.740590 | + | 0.671957i | ||||||||
−227.392 | + | 393.855i | −0.357214 | + | 0.618712i | |||||
0 | 0 | |||||||||
236.631 | + | 409.856i | 0.357150 | + | 0.618602i | |||||
−71.2539 | − | 123.415i | −0.105456 | − | 0.182656i | |||||
0 | 0 | |||||||||
−19.9038 | + | 34.4744i | −0.0283462 | + | 0.0490971i | −0.879851 | − | 0.475251i | ||
0.851504 | + | 0.524348i | ||||||||
−12.8616 | −0.0179746 | |||||||||
0 | 0 | |||||||||
649.261 | 0.874377 | |||||||||
221.885 | − | 384.315i | 0.293434 | − | 0.508242i | −0.681186 | − | 0.732111i | ||
0.974619 | + | 0.223869i | ||||||||
0 | 0 | |||||||||
−1.14240 | − | 1.97869i | −0.00145777 | − | 0.00252493i | |||||
−272.823 | − | 472.543i | −0.342085 | − | 0.592508i | |||||
0 | 0 | |||||||||
−238.277 | + | 412.708i | −0.288641 | + | 0.499941i | |||||
78.4576 | 0.0934437 | 0.0467218 | − | 0.998908i | ||||||
0.0467218 | + | 0.998908i | ||||||||
0 | 0 | |||||||||
−185.992 | −0.214256 | |||||||||
221.569 | − | 383.769i | 0.251089 | − | 0.434899i | |||||
0 | 0 | |||||||||
4.93851 | + | 8.55376i | 0.00541882 | + | 0.00938566i | |||||
−47.5538 | − | 82.3655i | −0.0513570 | − | 0.0889529i | |||||
0 | 0 | |||||||||
45.5077 | − | 78.8217i | 0.0476352 | − | 0.0825065i | −0.841225 | − | 0.540686i | ||
0.888860 | + | 0.458179i | ||||||||
674.554 | 0.695308 | |||||||||
0 | 0 | |||||||||
−497.415 | −0.497415 | |||||||||
−811.261 | + | 1405.15i | −0.799243 | + | 1.38433i | 0.120867 | + | 0.992669i | ||
−0.920110 | + | 0.391661i | ||||||||
0 | 0 | |||||||||
374.115 | + | 647.987i | 0.357890 | + | 0.619884i | 0.987608 | − | 0.156940i | ||
−0.629718 | + | 0.776824i | ||||||||
310.985 | + | 538.641i | 0.293217 | + | 0.507866i | |||||
0 | 0 | |||||||||
598.908 | − | 1037.34i | 0.548783 | − | 0.950521i | |||||
−1435.00 | −1.29651 | −0.648255 | − | 0.761423i | ||||||
−0.648255 | + | 0.761423i | ||||||||
0 | 0 | |||||||||
−83.1305 | −0.0730501 | −0.0365250 | − | 0.999333i | ||||||
−0.0365250 | + | 0.999333i | ||||||||
47.8846 | − | 82.9385i | 0.0415056 | − | 0.0718898i | |||||
0 | 0 | |||||||||
19.1384 | + | 33.1487i | 0.0161465 | + | 0.0279666i | |||||
486.098 | + | 841.946i | 0.404675 | + | 0.700917i | 0.994284 | − | 0.106772i | ||
−0.589609 | + | 0.807689i | ||||||||
0 | 0 | |||||||||
−44.5270 | + | 77.1230i | −0.0361058 | + | 0.0625370i | |||||
−502.508 | −0.402213 | |||||||||
0 | 0 | |||||||||
−1340.55 | −1.04583 | |||||||||
−3.39985 | + | 5.88872i | −0.00261902 | + | 0.00453628i | |||||
0 | 0 | |||||||||
−1108.75 | − | 1920.40i | −0.833017 | − | 1.44283i | |||||
464.531 | + | 804.591i | 0.344727 | + | 0.597084i | |||||
0 | 0 | |||||||||
−126.123 | + | 218.451i | −0.0913401 | + | 0.158206i | |||||
200.442 | 0.143425 | |||||||||
0 | 0 | |||||||||
−1316.13 | −0.919588 | −0.459794 | − | 0.888026i | ||||||
−0.459794 | + | 0.888026i | ||||||||
64.0000 | − | 110.851i | 0.0441942 | − | 0.0765466i | |||||
0 | 0 | |||||||||
−62.4960 | − | 108.246i | −0.0421636 | − | 0.0730295i | |||||
−557.638 | − | 965.858i | −0.371917 | − | 0.644179i | 0.617944 | − | 0.786222i | ||
−0.989860 | + | 0.142044i | ||||||||
0 | 0 | |||||||||
−141.523 | + | 245.125i | −0.0922678 | + | 0.159813i | |||||
1538.14 | 0.991604 | |||||||||
0 | 0 | |||||||||
22.7386 | 0.0143369 | |||||||||
308.571 | − | 534.461i | 0.192431 | − | 0.333300i | −0.753624 | − | 0.657305i | ||
0.946055 | + | 0.324005i | ||||||||
0 | 0 | |||||||||
−1078.28 | − | 1867.64i | −0.657978 | − | 1.13965i | −0.981138 | − | 0.193307i | ||
0.323161 | − | 0.946344i | ||||||||
−3.84610 | − | 6.66164i | −0.00232182 | − | 0.00402151i | |||||
0 | 0 | |||||||||
611.569 | − | 1059.27i | 0.361421 | − | 0.625999i | |||||
−4631.28 | −2.70830 | |||||||||
0 | 0 | |||||||||
100.985 | 0.0578368 | |||||||||
923.831 | − | 1600.12i | 0.523676 | − | 0.907034i | |||||
0 | 0 | |||||||||
454.785 | + | 787.710i | 0.252588 | + | 0.437496i | |||||
1785.84 | + | 3093.17i | 0.981893 | + | 1.70069i | 0.655004 | + | 0.755626i | ||
0.326889 | + | 0.945063i | ||||||||
0 | 0 | |||||||||
1130.72 | − | 1958.46i | 0.609379 | − | 1.05548i | −0.381963 | − | 0.924177i | ||
0.991343 | − | 0.131299i | ||||||||
946.523 | 0.505086 | |||||||||
0 | 0 | |||||||||
−285.015 | −0.149138 | |||||||||
25.3459 | − | 43.9004i | 0.0131344 | − | 0.0227495i | |||||
0 | 0 | |||||||||
−914.627 | − | 1584.18i | −0.464937 | − | 0.805295i | 0.534261 | − | 0.845319i | ||
−0.999199 | + | 0.0400243i | ||||||||
39.8076 | + | 68.9488i | 0.0200438 | + | 0.0347169i | |||||
0 | 0 | |||||||||
−12.8616 | + | 22.2769i | −0.00635497 | + | 0.0110071i | |||||
265.031 | 0.129735 | |||||||||
0 | 0 | |||||||||
268.554 | 0.129048 | 0.0645238 | − | 0.997916i | ||||||
0.0645238 | + | 0.997916i | ||||||||
649.261 | − | 1124.55i | 0.309139 | − | 0.535444i | |||||
0 | 0 | |||||||||
−443.769 | − | 768.631i | −0.207489 | − | 0.359381i | |||||
−2027.26 | − | 3511.32i | −0.939366 | − | 1.62703i | −0.766657 | − | 0.642057i | ||
−0.172710 | − | 0.984973i | ||||||||
0 | 0 | |||||||||
−1923.73 | + | 3332.00i | −0.875617 | + | 1.51661i | |||||
−4.56959 | −0.00206160 | |||||||||
0 | 0 | |||||||||
−1091.29 | −0.483781 | |||||||||
873.675 | − | 1513.25i | 0.383955 | − | 0.665030i | −0.607668 | − | 0.794191i | ||
0.991624 | + | 0.129161i | ||||||||
0 | 0 | |||||||||
−148.746 | − | 257.636i | −0.0642523 | − | 0.111288i | |||||
476.554 | + | 825.415i | 0.204100 | + | 0.353511i | |||||
0 | 0 | |||||||||
78.4576 | − | 135.892i | 0.0330373 | − | 0.0572223i | |||||
2037.71 | 0.850868 | 0.425434 | − | 0.904989i | ||||||
0.425434 | + | 0.904989i | ||||||||
0 | 0 | |||||||||
2820.68 | 1.15834 | 0.579169 | − | 0.815207i | ||||||
0.579169 | + | 0.815207i | ||||||||
−185.992 | + | 322.148i | −0.0757510 | + | 0.131205i | |||||
0 | 0 | |||||||||
−443.138 | − | 767.538i | −0.177547 | − | 0.307520i | |||||
−91.3944 | − | 158.300i | −0.0363213 | − | 0.0629104i | |||||
0 | 0 | |||||||||
−84.6575 | + | 146.631i | −0.0331057 | + | 0.0573408i | |||||
19.7541 | 0.00766336 | |||||||||
0 | 0 | |||||||||
−190.215 | −0.0726297 | |||||||||
219.862 | − | 380.811i | 0.0832912 | − | 0.144265i | −0.821371 | − | 0.570395i | ||
0.904662 | + | 0.426130i | ||||||||
0 | 0 | |||||||||
231.338 | + | 400.689i | 0.0862802 | + | 0.149442i | 0.905936 | − | 0.423415i | ||
−0.819656 | + | 0.572856i | ||||||||
−91.0155 | − | 157.643i | −0.0336831 | − | 0.0583409i | |||||
0 | 0 | |||||||||
674.554 | − | 1168.36i | 0.245829 | − | 0.425788i | |||||
−1036.60 | −0.374896 | −0.187448 | − | 0.982275i | ||||||
−0.187448 | + | 0.982275i | ||||||||
0 | 0 | |||||||||
−1190.22 | −0.423980 | −0.211990 | − | 0.977272i | ||||||
−0.211990 | + | 0.977272i | ||||||||
−497.415 | + | 861.549i | −0.175863 | + | 0.304603i | |||||
0 | 0 | |||||||||
1622.52 | + | 2810.29i | 0.565150 | + | 0.978869i | |||||
−150.269 | − | 260.273i | −0.0519547 | − | 0.0899883i | |||||
0 | 0 | |||||||||
−130.477 | + | 225.992i | −0.0444531 | + | 0.0769951i | |||||
1496.46 | 0.506133 | |||||||||
0 | 0 | |||||||||
1243.94 | 0.414671 | |||||||||
−3523.98 | + | 6103.71i | −1.16631 | + | 2.02011i | |||||
0 | 0 | |||||||||
2464.00 | + | 4267.78i | 0.803929 | + | 1.39245i | 0.917012 | + | 0.398860i | ||
−0.113083 | + | 0.993586i | ||||||||
−1197.82 | − | 2074.68i | −0.388049 | − | 0.672120i | |||||
0 | 0 | |||||||||
−1435.00 | + | 2485.49i | −0.458386 | + | 0.793947i | |||||
219.308 | 0.0695660 | |||||||||
0 | 0 | |||||||||
−150.862 | −0.0471945 | |||||||||
−83.1305 | + | 143.986i | −0.0258271 | + | 0.0447339i | |||||
0 | 0 | |||||||||
−95.7691 | − | 165.877i | −0.0293489 | − | 0.0508338i | |||||
110.490 | + | 191.374i | 0.0336305 | + | 0.0582498i | |||||
0 | 0 | |||||||||
735.235 | − | 1273.46i | 0.220785 | − | 0.382410i | −0.734262 | − | 0.678866i | ||
0.955046 | + | 0.296456i | ||||||||
76.5538 | 0.0228347 | |||||||||
0 | 0 | |||||||||
1944.39 | 0.572296 | |||||||||
1051.13 | − | 1820.61i | 0.307339 | − | 0.532327i | −0.670440 | − | 0.741964i | ||
0.977779 | + | 0.209637i | ||||||||
0 | 0 | |||||||||
500.519 | + | 866.924i | 0.144433 | + | 0.250166i | 0.929161 | − | 0.369674i | ||
−0.784728 | + | 0.619840i | ||||||||
89.0539 | + | 154.246i | 0.0255306 | + | 0.0442203i | |||||
0 | 0 | |||||||||
−502.508 | + | 870.369i | −0.142204 | + | 0.246304i | |||||
6280.78 | 1.76596 | 0.882978 | − | 0.469415i | ||||||
0.882978 | + | 0.469415i | ||||||||
0 | 0 | |||||||||
−3.96981 | −0.00110197 | |||||||||
−1340.55 | + | 2321.91i | −0.369757 | + | 0.640438i | |||||
0 | 0 | |||||||||
6.79970 | + | 11.7774i | 0.00185193 | + | 0.00320764i | |||||
−508.685 | − | 881.068i | −0.137674 | − | 0.238458i | 0.788942 | − | 0.614468i | ||
−0.926616 | + | 0.376010i | ||||||||
0 | 0 | |||||||||
460.646 | − | 797.862i | 0.123124 | − | 0.213257i | −0.797874 | − | 0.602824i | ||
0.920998 | + | 0.389567i | ||||||||
−4434.98 | −1.17806 | |||||||||
0 | 0 | |||||||||
1858.12 | 0.487517 | |||||||||
−135.560 | + | 234.796i | −0.0353493 | + | 0.0612268i | |||||
0 | 0 | |||||||||
4599.28 | + | 7966.19i | 1.18480 | + | 2.05213i | |||||
252.246 | + | 436.903i | 0.0645872 | + | 0.111868i | |||||
0 | 0 | |||||||||
200.442 | − | 347.177i | 0.0507084 | − | 0.0878295i | |||||
−2262.40 | −0.568930 | −0.284465 | − | 0.958686i | ||||||
−0.284465 | + | 0.958686i | ||||||||
0 | 0 | |||||||||
6599.35 | 1.63991 | |||||||||
−1316.13 | + | 2279.60i | −0.325124 | + | 0.563130i | |||||
0 | 0 | |||||||||
−128.000 | − | 221.703i | −0.0312500 | − | 0.0541266i | |||||
2393.32 | + | 4145.36i | 0.580901 | + | 1.00615i | 0.995373 | + | 0.0960877i | ||
−0.414472 | + | 0.910062i | ||||||||
0 | 0 | |||||||||
−271.996 | + | 471.111i | −0.0652548 | + | 0.113025i | |||||
−249.984 | −0.0596283 | |||||||||
0 | 0 | |||||||||
−2230.55 | −0.525970 | |||||||||
−1503.96 | + | 2604.94i | −0.352617 | + | 0.610750i | −0.986707 | − | 0.162509i | ||
0.634090 | + | 0.773259i | ||||||||
0 | 0 | |||||||||
240.715 | + | 416.931i | 0.0558001 | + | 0.0966485i | |||||
283.046 | + | 490.251i | 0.0652432 | + | 0.113005i | |||||
0 | 0 | |||||||||
1538.14 | − | 2664.13i | 0.350585 | − | 0.607231i | |||||
6559.73 | 1.48682 | 0.743409 | − | 0.668837i | ||||||
0.743409 | + | 0.668837i | ||||||||
0 | 0 | |||||||||
−5147.64 | −1.15386 | −0.576931 | − | 0.816793i | ||||||
−0.576931 | + | 0.816793i | ||||||||
22.7386 | − | 39.3844i | 0.00506886 | − | 0.00877952i | |||||
0 | 0 | |||||||||
−617.143 | − | 1068.92i | −0.136069 | − | 0.235679i | |||||
−3703.83 | − | 6415.22i | −0.812180 | − | 1.40674i | |||||
0 | 0 | |||||||||
533.831 | − | 924.622i | 0.115793 | − | 0.200560i | −0.802303 | − | 0.596917i | ||
0.918097 | + | 0.396357i | ||||||||
−4313.14 | −0.930521 | |||||||||
0 | 0 | |||||||||
−15.3844 | −0.00328355 | |||||||||
2093.24 | − | 3625.59i | 0.444384 | − | 0.769696i | −0.553625 | − | 0.832766i | ||
0.998009 | + | 0.0630699i | ||||||||
0 | 0 | |||||||||
−2678.48 | − | 4639.26i | −0.562611 | − | 0.974471i | −0.997268 | − | 0.0738746i | ||
0.434657 | − | 0.900596i | ||||||||
−1223.14 | − | 2118.54i | −0.255563 | − | 0.442648i | |||||
0 | 0 | |||||||||
−4631.28 | + | 8021.61i | −0.957528 | + | 1.65849i | |||||
776.616 | 0.159729 | |||||||||
0 | 0 | |||||||||
−4904.92 | −0.998356 | |||||||||
100.985 | − | 174.911i | 0.0204484 | − | 0.0354177i | |||||
0 | 0 | |||||||||
−1847.66 | − | 3200.24i | −0.370295 | − | 0.641370i | |||||
1447.89 | + | 2507.83i | 0.288692 | + | 0.500030i | 0.973498 | − | 0.228696i | ||
−0.684805 | + | 0.728726i | ||||||||
0 | 0 | |||||||||
269.400 | − | 466.615i | 0.0531698 | − | 0.0920928i | |||||
1819.14 | 0.357214 | |||||||||
0 | 0 | |||||||||
7143.38 | 1.38861 | |||||||||
4306.54 | − | 7459.14i | 0.832955 | − | 1.44272i | |||||
0 | 0 | |||||||||
−326.338 | − | 565.234i | −0.0624911 | − | 0.108238i | |||||
−2261.43 | − | 3916.91i | −0.430896 | − | 0.746334i | |||||
0 | 0 | |||||||||
946.523 | − | 1639.43i | 0.178575 | − | 0.309301i | |||||
−373.412 | −0.0701033 | |||||||||
0 | 0 | |||||||||
1855.49 | 0.344947 | 0.172473 | − | 0.985014i | ||||||
0.172473 | + | 0.985014i | ||||||||
−285.015 | + | 493.661i | −0.0527281 | + | 0.0913278i | |||||
0 | 0 | |||||||||
−50.6918 | − | 87.8008i | −0.00928743 | − | 0.0160863i | |||||
3585.85 | + | 6210.87i | 0.653809 | + | 1.13243i | 0.982191 | + | 0.187886i | ||
−0.328382 | + | 0.944545i | ||||||||
0 | 0 | |||||||||
655.415 | − | 1135.21i | 0.118359 | − | 0.205003i | −0.800759 | − | 0.598987i | ||
0.919117 | + | 0.393984i | ||||||||
−3658.51 | −0.657521 | |||||||||
0 | 0 | |||||||||
159.230 | 0.0283462 | |||||||||
1844.63 | − | 3195.00i | 0.326829 | − | 0.566085i | −0.655052 | − | 0.755584i | ||
0.981881 | + | 0.189499i | ||||||||
0 | 0 | |||||||||
−3741.75 | − | 6480.90i | −0.656733 | − | 1.13749i | |||||
25.7231 | + | 44.5538i | 0.00449364 | + | 0.00778322i | |||||
0 | 0 | |||||||||
265.031 | − | 459.046i | 0.0458682 | − | 0.0794461i | |||||
336.290 | 0.0579310 | |||||||||
0 | 0 | |||||||||
−9668.03 | −1.65011 | |||||||||
268.554 | − | 465.149i | 0.0456252 | − | 0.0790252i | |||||
0 | 0 | |||||||||
−1298.52 | − | 2249.11i | −0.218594 | − | 0.378616i | |||||
5.90721 | + | 10.2316i | 0.000989894 | + | 0.00171455i | |||||
0 | 0 | |||||||||
1622.48 | − | 2810.22i | 0.269425 | − | 0.466657i | −0.699289 | − | 0.714839i | ||
0.968713 | + | 0.248182i | ||||||||
−1775.08 | −0.293434 | |||||||||
0 | 0 | |||||||||
−8109.04 | −1.32846 | |||||||||
−309.107 | + | 535.389i | −0.0504129 | + | 0.0873177i | |||||
0 | 0 | |||||||||
−2150.83 | − | 3725.35i | −0.347665 | − | 0.602174i | 0.638169 | − | 0.769896i | ||
−0.985834 | + | 0.167722i | ||||||||
3847.46 | + | 6664.00i | 0.619155 | + | 1.07241i | |||||
0 | 0 | |||||||||
−4.56959 | + | 7.91476i | −0.000728885 | + | 0.00126247i | |||||
−3756.52 | −0.596561 | |||||||||
0 | 0 | |||||||||
1627.43 | 0.256189 | |||||||||
−1091.29 | + | 1890.17i | −0.171042 | + | 0.296254i | |||||
0 | 0 | |||||||||
−1747.35 | − | 3026.50i | −0.271497 | − | 0.470247i | |||||
−1652.10 | − | 2861.52i | −0.255589 | − | 0.442693i | 0.709466 | − | 0.704739i | ||
−0.965055 | + | 0.262046i | ||||||||
0 | 0 | |||||||||
−2254.35 | + | 3904.65i | −0.345767 | + | 0.598886i | −0.985493 | − | 0.169717i | ||
0.639726 | + | 0.768603i | ||||||||
−594.985 | −0.0908665 | |||||||||
0 | 0 | |||||||||
1906.22 | 0.288641 | |||||||||
3443.37 | − | 5964.09i | 0.519184 | − | 0.899254i | −0.480567 | − | 0.876958i | ||
0.999751 | − | 0.0222956i | ||||||||
0 | 0 | |||||||||
245.804 | + | 425.745i | 0.0367491 | + | 0.0636513i | |||||
−156.915 | − | 271.785i | −0.0233609 | − | 0.0404623i | |||||
0 | 0 | |||||||||
2037.71 | − | 3529.41i | 0.300827 | − | 0.521048i | |||||
1529.31 | 0.224829 | 0.112415 | − | 0.993661i | ||||||
0.112415 | + | 0.993661i | ||||||||
0 | 0 | |||||||||
7139.52 | 1.04090 | |||||||||
2820.68 | − | 4885.56i | 0.409534 | − | 0.709335i | |||||
0 | 0 | |||||||||
371.985 | + | 644.297i | 0.0535640 | + | 0.0927756i | |||||
371.310 | + | 643.127i | 0.0532472 | + | 0.0922269i | |||||
0 | 0 | |||||||||
5115.68 | − | 8860.62i | 0.727620 | − | 1.26027i | −0.230267 | − | 0.973128i | ||
0.957886 | − | 0.287147i | ||||||||
−1772.55 | −0.251089 | |||||||||
0 | 0 | |||||||||
−365.578 | −0.0513661 | |||||||||
716.385 | − | 1240.81i | 0.100250 | − | 0.173639i | |||||
0 | 0 | |||||||||
−473.215 | − | 819.632i | −0.0656894 | − | 0.113777i | 0.831310 | − | 0.555809i | ||
−0.897000 | + | 0.442031i | ||||||||
169.315 | + | 293.262i | 0.0234093 | + | 0.0405461i | |||||
0 | 0 | |||||||||
19.7541 | − | 34.2150i | 0.00270941 | − | 0.00469283i | |||||
−9767.01 | −1.33429 | |||||||||
0 | 0 | |||||||||
−8717.46 | −1.18149 | −0.590746 | − | 0.806857i | ||||||
−0.590746 | + | 0.806857i | ||||||||
−190.215 | + | 329.462i | −0.0256785 | + | 0.0444764i | |||||
0 | 0 | |||||||||
−439.723 | − | 761.623i | −0.0588958 | − | 0.102011i | |||||
6130.77 | + | 10618.8i | 0.817931 | + | 1.41670i | 0.907204 | + | 0.420691i | ||
−0.0892728 | + | 0.996007i | ||||||||
0 | 0 | |||||||||
57.2772 | − | 99.2071i | 0.00758213 | − | 0.0131326i | |||||
925.353 | 0.122019 | |||||||||
0 | 0 | |||||||||
−364.062 | −0.0476352 | |||||||||
−6605.53 | + | 11441.1i | −0.860961 | + | 1.49123i | 0.0100423 | + | 0.999950i | ||
−0.871003 | + | 0.491278i | ||||||||
0 | 0 | |||||||||
−157.443 | − | 272.699i | −0.0203638 | − | 0.0352711i | |||||
−1349.11 | − | 2336.72i | −0.173827 | − | 0.301077i | |||||
0 | 0 | |||||||||
−1036.60 | + | 1795.44i | −0.132546 | + | 0.229576i | |||||
−31.9993 | −0.00407609 | |||||||||
0 | 0 | |||||||||
−5211.93 | −0.658890 | −0.329445 | − | 0.944175i | ||||||
−0.329445 | + | 0.944175i | ||||||||
−1190.22 | + | 2061.51i | −0.149900 | + | 0.259634i | |||||
0 | 0 | |||||||||
994.831 | + | 1723.10i | 0.124354 | + | 0.215387i | |||||
492.817 | + | 853.584i | 0.0613719 | + | 0.106299i | 0.895079 | − | 0.445908i | ||
−0.833707 | + | 0.552207i | ||||||||
0 | 0 | |||||||||
−2451.39 | + | 4245.94i | −0.303009 | + | 0.524827i | |||||
6490.09 | 0.799243 | |||||||||
0 | 0 | |||||||||
−601.076 | −0.0734751 | |||||||||
−6772.79 | + | 11730.8i | −0.824852 | + | 1.42869i | |||||
0 | 0 | |||||||||
337.323 | + | 584.261i | 0.0407813 | + | 0.0706354i | 0.885696 | − | 0.464266i | ||
−0.844914 | + | 0.534902i | ||||||||
260.954 | + | 451.985i | 0.0314331 | + | 0.0544438i | |||||
0 | 0 | |||||||||
1496.46 | − | 2591.95i | 0.178945 | − | 0.309942i | |||||
−1603.51 | −0.191049 | |||||||||
0 | 0 | |||||||||
356.723 | 0.0421948 | |||||||||
1243.94 | − | 2154.56i | 0.146608 | − | 0.253933i | |||||
0 | 0 | |||||||||
7047.95 | + | 12207.4i | 0.824705 | + | 1.42843i | |||||
−3752.82 | − | 6500.07i | −0.437559 | − | 0.757874i | 0.559942 | − | 0.828532i | ||
−0.997501 | + | 0.0706581i | ||||||||
0 | 0 | |||||||||
676.312 | − | 1171.41i | 0.0782932 | − | 0.135608i | −0.824220 | − | 0.566269i | ||
0.902514 | + | 0.430661i | ||||||||
9856.01 | 1.13693 | |||||||||
0 | 0 | |||||||||
−4791.26 | −0.548783 | |||||||||
−176.727 | + | 306.100i | −0.0201706 | + | 0.0349365i | |||||
0 | 0 | |||||||||
555.650 | + | 962.413i | 0.0629737 | + | 0.109074i | |||||
2870.00 | + | 4970.98i | 0.324128 | + | 0.561406i | |||||
0 | 0 | |||||||||
219.308 | − | 379.853i | 0.0245953 | − | 0.0426003i | |||||
−4003.21 | −0.447397 | −0.223698 | − | 0.974658i | ||||||
−0.223698 | + | 0.974658i | ||||||||
0 | 0 | |||||||||
9975.38 | 1.10713 | 0.553564 | − | 0.832807i | ||||||
0.553564 | + | 0.832807i | ||||||||
−150.862 | + | 261.301i | −0.0166858 | + | 0.0289006i | |||||
0 | 0 | |||||||||
166.261 | + | 287.973i | 0.0182625 | + | 0.0316316i | |||||
−6553.76 | − | 11351.4i | −0.717412 | − | 1.24259i | |||||
0 | 0 | |||||||||
−8680.46 | + | 15035.0i | −0.943726 | + | 1.63458i | −0.185444 | + | 0.982655i | ||
−0.758282 | + | 0.651927i | ||||||||
−383.077 | −0.0415056 | |||||||||
0 | 0 | |||||||||
441.959 | 0.0475608 | |||||||||
4287.71 | − | 7426.54i | 0.459854 | − | 0.796491i | −0.539099 | − | 0.842243i | ||
0.998953 | + | 0.0457517i | ||||||||
0 | 0 | |||||||||
31.5340 | + | 54.6184i | 0.00335922 | + | 0.00581834i | |||||
−1470.47 | − | 2546.93i | −0.156118 | − | 0.270405i | |||||
0 | 0 | |||||||||
76.5538 | − | 132.595i | 0.00807327 | − | 0.0139833i | |||||
4703.77 | 0.494398 | 0.247199 | − | 0.968965i | ||||||
0.247199 | + | 0.968965i | ||||||||
0 | 0 | |||||||||
19338.0 | 2.01905 | |||||||||
1944.39 | − | 3367.78i | 0.202337 | − | 0.350459i | |||||
0 | 0 | |||||||||
−2102.26 | − | 3641.22i | −0.217322 | − | 0.376412i | |||||
−74.7548 | − | 129.479i | −0.00770233 | − | 0.0133408i | |||||
0 | 0 | |||||||||
3523.40 | − | 6102.71i | 0.360651 | − | 0.624667i | −0.627417 | − | 0.778684i | ||
0.988068 | + | 0.154017i | ||||||||
2002.08 | 0.204259 | |||||||||
0 | 0 | |||||||||
356.216 | 0.0361058 | |||||||||
−2885.13 | + | 4997.19i | −0.291484 | + | 0.504864i | −0.974161 | − | 0.225856i | ||
0.682677 | + | 0.730720i | ||||||||
0 | 0 | |||||||||
6799.57 | + | 11777.2i | 0.682511 | + | 1.18214i | 0.974212 | + | 0.225634i | ||
−0.291701 | + | 0.956510i | ||||||||
1005.02 | + | 1740.74i | 0.100553 | + | 0.174163i | |||||
0 | 0 | |||||||||
6280.78 | − | 10878.6i | 0.624359 | − | 1.08142i | |||||
5730.52 | 0.567831 | 0.283915 | − | 0.958849i | ||||||
0.283915 | + | 0.958849i | ||||||||
0 | 0 | |||||||||
1839.85 | 0.181143 | |||||||||
−3.96981 | + | 6.87592i | −0.000389604 | + | 0.000674813i | |||||
0 | 0 | |||||||||
2681.11 | + | 4643.81i | 0.261458 | + | 0.452858i | |||||
−8125.93 | − | 14074.5i | −0.789917 | − | 1.36818i | |||||
0 | 0 | |||||||||
−7356.48 | + | 12741.8i | −0.710608 | + | 1.23081i | |||||
27.1988 | 0.00261902 | |||||||||
0 | 0 | |||||||||
−2034.74 | −0.194701 | |||||||||
−7284.14 | + | 12616.5i | −0.694824 | + | 1.20347i | 0.275416 | + | 0.961325i | ||
−0.970240 | + | 0.242145i | ||||||||
0 | 0 | |||||||||
8839.44 | + | 15310.4i | 0.837928 | + | 1.45133i | |||||
−921.292 | − | 1595.72i | −0.0870616 | − | 0.150795i | |||||
0 | 0 | |||||||||
−4434.98 | + | 7681.62i | −0.416509 | + | 0.721414i | |||||
73.1626 | 0.00684977 | |||||||||
0 | 0 | |||||||||
7164.51 | 0.666642 | 0.333321 | − | 0.942813i | ||||||
0.333321 | + | 0.942813i | ||||||||
1858.12 | − | 3218.36i | 0.172363 | − | 0.298542i | |||||
0 | 0 | |||||||||
271.119 | + | 469.592i | 0.0249957 | + | 0.0432939i | |||||
4755.03 | + | 8235.96i | 0.437050 | + | 0.756993i | 0.997460 | − | 0.0712222i | ||
−0.560410 | + | 0.828215i | ||||||||
0 | 0 | |||||||||
−178.536 | + | 309.234i | −0.0163101 | + | 0.0282499i | |||||
18397.1 | 1.67556 | |||||||||
0 | 0 | |||||||||
1008.98 | 0.0913401 | |||||||||
731.530 | − | 1267.05i | 0.0660234 | − | 0.114356i | |||||
0 | 0 | |||||||||
−10742.8 | − | 18607.1i | −0.963756 | − | 1.66927i | −0.712921 | − | 0.701245i | ||
−0.250835 | − | 0.968030i | ||||||||
−400.885 | − | 694.353i | −0.0358562 | − | 0.0621048i | |||||
0 | 0 | |||||||||
−2262.40 | + | 3918.59i | −0.201147 | + | 0.348397i | |||||
−11603.2 | −1.02855 | −0.514274 | − | 0.857626i | ||||||
−0.514274 | + | 0.857626i | ||||||||
0 | 0 | |||||||||
−1304.26 | −0.114928 | |||||||||
6599.35 | − | 11430.4i | 0.579796 | − | 1.00424i | |||||
0 | 0 | |||||||||
2632.26 | + | 4559.21i | 0.229897 | + | 0.398193i | |||||
−4469.87 | − | 7742.04i | −0.389241 | − | 0.674184i | 0.603107 | − | 0.797660i | ||
−0.992348 | + | 0.123476i | ||||||||
0 | 0 | |||||||||
1105.04 | − | 1913.99i | 0.0956638 | − | 0.165695i | |||||
−512.000 | −0.0441942 | |||||||||
0 | 0 | |||||||||
9573.30 | 0.821518 | |||||||||
−300.732 | + | 520.883i | −0.0257317 | + | 0.0445686i | |||||
0 | 0 | |||||||||
147.092 | + | 254.770i | 0.0125127 | + | 0.0216727i | |||||
543.992 | + | 942.221i | 0.0461421 | + | 0.0799205i | |||||
0 | 0 | |||||||||
−249.984 | + | 432.985i | −0.0210818 | + | 0.0365147i | |||||
−7410.10 | −0.623114 | −0.311557 | − | 0.950227i | ||||||
−0.311557 | + | 0.950227i | ||||||||
0 | 0 | |||||||||
18970.8 | 1.58611 | 0.793054 | − | 0.609151i | ||||||
0.793054 | + | 0.609151i | ||||||||
−2230.55 | + | 3863.43i | −0.185958 | + | 0.322089i | |||||
0 | 0 | |||||||||
3007.92 | + | 5209.88i | 0.249338 | + | 0.431866i | |||||
89.6206 | + | 155.227i | 0.00740784 | + | 0.0128308i | |||||
0 | 0 | |||||||||
−53.1149 | + | 91.9977i | −0.00436549 | + | 0.00756124i | |||||
962.861 | 0.0789132 | |||||||||
0 | 0 | |||||||||
1132.19 | 0.0922678 | |||||||||
12619.4 | − | 21857.4i | 1.02553 | − | 1.77627i | |||||
0 | 0 | |||||||||
−576.760 | − | 998.978i | −0.0466085 | − | 0.0807282i | |||||
−3076.28 | − | 5328.27i | −0.247901 | − | 0.429377i | |||||
0 | 0 | |||||||||
6559.73 | − | 11361.8i | 0.525669 | − | 0.910486i | |||||
20091.3 | 1.60556 | |||||||||
0 | 0 | |||||||||
−11440.4 | −0.909169 | −0.454584 | − | 0.890704i | ||||||
−0.454584 | + | 0.890704i | ||||||||
−5147.64 | + | 8915.97i | −0.407952 | + | 0.706594i | |||||
0 | 0 | |||||||||
−45.4772 | − | 78.7688i | −0.00358422 | − | 0.00620806i | |||||
−33.4121 | − | 57.8715i | −0.00262609 | − | 0.00454852i | |||||
0 | 0 | |||||||||
−5126.48 | + | 8879.32i | −0.400717 | + | 0.694063i | −0.993813 | − | 0.111070i | ||
0.593095 | + | 0.805132i | ||||||||
−2468.57 | −0.192431 | |||||||||
0 | 0 | |||||||||
−14815.3 | −1.14860 | |||||||||
−7431.80 | + | 12872.3i | −0.574601 | + | 0.995238i | |||||
0 | 0 | |||||||||
47.6160 | + | 82.4733i | 0.00366155 | + | 0.00634199i | |||||
−1067.66 | − | 1849.24i | −0.0818783 | − | 0.141817i | |||||
0 | 0 | |||||||||
−4313.14 | + | 7470.57i | −0.328989 | + | 0.569825i | |||||
−15336.5 | −1.16666 | −0.583328 | − | 0.812236i | ||||||
−0.583328 | + | 0.812236i | ||||||||
0 | 0 | |||||||||
−21210.9 | −1.60488 | |||||||||
−15.3844 | + | 26.6465i | −0.00116091 | + | 0.00201075i | |||||
0 | 0 | |||||||||
−4186.47 | − | 7251.18i | −0.314227 | − | 0.544257i | |||||
3850.69 | + | 6669.58i | 0.288254 | + | 0.499271i | 0.973393 | − | 0.229142i | ||
−0.685139 | + | 0.728412i | ||||||||
0 | 0 | |||||||||
−390.749 | + | 676.796i | −0.0290954 | + | 0.0503948i | |||||
−10713.9 | −0.795652 | |||||||||
0 | 0 | |||||||||
−4892.55 | −0.361421 | |||||||||
−8869.63 | + | 15362.6i | −0.653487 | + | 1.13187i | 0.328784 | + | 0.944405i | ||
−0.982271 | + | 0.187467i | ||||||||
0 | 0 | |||||||||
−6911.55 | − | 11971.2i | −0.506549 | − | 0.877369i | −0.999971 | − | 0.00757865i | ||
0.493422 | − | 0.869790i | ||||||||
9262.55 | + | 16043.2i | 0.677075 | + | 1.17273i | |||||
0 | 0 | |||||||||
776.616 | − | 1345.14i | 0.0564727 | − | 0.0978135i | |||||
13776.5 | 0.999164 | |||||||||
0 | 0 | |||||||||
−15339.1 | −1.10672 | −0.553359 | − | 0.832943i | ||||||
−0.553359 | + | 0.832943i | ||||||||
−4904.92 | + | 8495.57i | −0.352972 | + | 0.611365i | |||||
0 | 0 | |||||||||
−201.970 | − | 349.822i | −0.0144592 | − | 0.0250441i | |||||
−530.816 | − | 919.399i | −0.0379035 | − | 0.0656508i | |||||
0 | 0 | |||||||||
17838.2 | − | 30896.7i | 1.26721 | − | 2.19487i | |||||
−7390.65 | −0.523676 | |||||||||
0 | 0 | |||||||||
5791.58 | 0.408273 | |||||||||
7383.26 | − | 12788.2i | 0.519148 | − | 0.899191i | −0.480604 | − | 0.876937i | ||
0.999752 | − | 0.0222531i | ||||||||
0 | 0 | |||||||||
3730.57 | + | 6461.54i | 0.260977 | + | 0.452026i | |||||
−538.800 | − | 933.230i | −0.0375967 | − | 0.0651194i | |||||
0 | 0 | |||||||||
1819.14 | − | 3150.84i | 0.126294 | − | 0.218748i | |||||
−17603.6 | −1.21904 | −0.609522 | − | 0.792769i | ||||||
−0.609522 | + | 0.792769i | ||||||||
0 | 0 | |||||||||
−5.46593 | −0.000376607 | |||||||||
7143.38 | − | 12372.7i | 0.490946 | − | 0.850344i | |||||
0 | 0 | |||||||||
−8613.08 | − | 14918.3i | −0.588988 | − | 1.02016i | |||||
11400.6 | + | 19746.3i | 0.777653 | + | 1.34693i | 0.933291 | + | 0.359120i | ||
−0.155638 | + | 0.987814i | ||||||||
0 | 0 | |||||||||
−952.624 | + | 1649.99i | −0.0646562 | + | 0.111988i | −0.896541 | − | 0.442960i | ||
0.831885 | + | 0.554948i | ||||||||
−1305.35 | −0.0883757 | |||||||||
0 | 0 | |||||||||
−9045.72 | −0.609379 | |||||||||
891.263 | − | 1543.71i | 0.0598925 | − | 0.103737i | |||||
0 | 0 | |||||||||
1294.61 | + | 2242.33i | 0.0865678 | + | 0.149940i | 0.906058 | − | 0.423153i | ||
−0.819490 | + | 0.573093i | ||||||||
−1893.05 | − | 3278.85i | −0.126272 | − | 0.218709i | |||||
0 | 0 | |||||||||
−373.412 | + | 646.768i | −0.0247853 | + | 0.0429293i | |||||
383.950 | 0.0254222 | |||||||||
0 | 0 | |||||||||
16930.4 | 1.11552 | 0.557759 | − | 0.830003i | ||||||
0.557759 | + | 0.830003i | ||||||||
1855.49 | − | 3213.81i | 0.121957 | − | 0.211236i | |||||
0 | 0 | |||||||||
570.031 | + | 987.323i | 0.0372844 | + | 0.0645785i | |||||
6406.72 | + | 11096.8i | 0.418030 | + | 0.724050i | 0.995741 | − | 0.0921917i | ||
−0.577711 | + | 0.816241i | ||||||||
0 | 0 | |||||||||
−5133.79 | + | 8891.99i | −0.333351 | + | 0.577382i | −0.983167 | − | 0.182711i | ||
0.649815 | + | 0.760092i | ||||||||
−202.767 | −0.0131344 | |||||||||
0 | 0 | |||||||||
14343.4 | 0.924626 | |||||||||
93.8472 | − | 162.548i | 0.00603517 | − | 0.0104532i | |||||
0 | 0 | |||||||||
−7691.55 | − | 13322.2i | −0.492259 | − | 0.852618i | |||||
−1310.83 | − | 2270.42i | −0.0836922 | − | 0.144959i | |||||
0 | 0 | |||||||||
−3658.51 | + | 6336.72i | −0.232469 | + | 0.402648i | |||||
646.322 | 0.0409707 | |||||||||
0 | 0 | |||||||||
−21887.5 | −1.38087 | −0.690433 | − | 0.723397i | ||||||
−0.690433 | + | 0.723397i | ||||||||
159.230 | − | 275.795i | 0.0100219 | − | 0.0173585i | |||||
0 | 0 | |||||||||
−3689.26 | − | 6389.99i | −0.231103 | − | 0.400282i | |||||
−528.984 | − | 916.227i | −0.0330584 | − | 0.0572589i | |||||
0 | 0 | |||||||||
13111.0 | − | 22708.9i | 0.815504 | − | 1.41249i | |||||
−14967.0 | −0.928760 | |||||||||
0 | 0 | |||||||||
102.892 | 0.00635497 | |||||||||
8601.84 | − | 14898.8i | 0.530035 | − | 0.918047i | −0.469351 | − | 0.883012i | ||
0.999386 | − | 0.0350356i | ||||||||
0 | 0 | |||||||||
−6282.79 | − | 10882.1i | −0.385333 | − | 0.667416i | 0.606482 | − | 0.795097i | ||
−0.991815 | + | 0.127681i | ||||||||
−530.061 | − | 918.093i | −0.0324337 | − | 0.0561769i | |||||
0 | 0 | |||||||||
336.290 | − | 582.472i | 0.0204817 | − | 0.0354753i | |||||
−3552.55 | −0.215866 | −0.107933 | − | 0.994158i | ||||||
−0.107933 | + | 0.994158i | ||||||||
0 | 0 | |||||||||
−39927.9 | −2.41496 | |||||||||
−9668.03 | + | 16745.5i | −0.583402 | + | 1.01048i | |||||
0 | 0 | |||||||||
−537.108 | − | 930.297i | −0.0322619 | − | 0.0558792i | |||||
2885.50 | + | 4997.83i | 0.172922 | + | 0.299511i | 0.939440 | − | 0.342712i | ||
−0.766518 | + | 0.642223i | ||||||||
0 | 0 | |||||||||
448.256 | − | 776.402i | 0.0267402 | − | 0.0463153i | |||||
−5194.09 | −0.309139 | |||||||||
0 | 0 | |||||||||
23.6289 | 0.00139992 | |||||||||
8239.20 | − | 14270.7i | 0.487032 | − | 0.843564i | −0.512857 | − | 0.858474i | ||
0.999889 | + | 0.0149104i | ||||||||
0 | 0 | |||||||||
2281.62 | + | 3951.88i | 0.134258 | + | 0.232542i | 0.925314 | − | 0.379202i | ||
−0.791056 | + | 0.611744i | ||||||||
−3244.96 | − | 5620.44i | −0.190512 | − | 0.329977i | |||||
0 | 0 | |||||||||
−1775.08 | + | 3074.52i | −0.103744 | + | 0.179691i | |||||
−227.526 | −0.0132678 | |||||||||
0 | 0 | |||||||||
13917.5 | 0.807929 | |||||||||
−8109.04 | + | 14045.3i | −0.469683 | + | 0.813515i | |||||
0 | 0 | |||||||||
618.214 | + | 1070.78i | 0.0356473 | + | 0.0617430i | |||||
13835.9 | + | 23964.4i | 0.796017 | + | 1.37874i | |||||
0 | 0 | |||||||||
6576.14 | − | 11390.2i | 0.376659 | − | 0.652393i | −0.613915 | − | 0.789372i | ||
0.990574 | + | 0.136980i | ||||||||
−8603.32 | −0.491673 | |||||||||
0 | 0 | |||||||||
15389.8 | 0.875617 | |||||||||
7438.07 | − | 12883.1i | 0.422257 | − | 0.731371i | −0.573903 | − | 0.818924i | ||
0.996160 | + | 0.0875524i | ||||||||
0 | 0 | |||||||||
−108.868 | − | 188.566i | −0.00615314 | − | 0.0106576i | |||||
9.13918 | + | 15.8295i | 0.000515399 | + | 0.000892698i | |||||
0 | 0 | |||||||||
−3756.52 | + | 6506.49i | −0.210916 | + | 0.365317i | |||||
24082.4 | 1.34918 | 0.674588 | − | 0.738195i | ||||||
0.674588 | + | 0.738195i | ||||||||
0 | 0 | |||||||||
496.089 | 0.0276709 | |||||||||
1627.43 | − | 2818.79i | 0.0905766 | − | 0.156883i | |||||
0 | 0 | |||||||||
2182.58 | + | 3780.35i | 0.120945 | + | 0.209483i | |||||
−23281.4 | − | 40324.5i | −1.28730 | − | 2.22967i | |||||
0 | 0 | |||||||||
−6445.10 | + | 11163.2i | −0.354824 | + | 0.614573i | −0.987088 | − | 0.160180i | ||
0.632264 | + | 0.774753i | ||||||||
−6989.40 | −0.383955 | |||||||||
0 | 0 | |||||||||
−6608.40 | −0.361457 | |||||||||
866.776 | − | 1501.30i | 0.0473075 | − | 0.0819390i | |||||
0 | 0 | |||||||||
−461.353 | − | 799.086i | −0.0250717 | − | 0.0434255i | |||||
4508.71 | + | 7809.31i | 0.244494 | + | 0.423477i | |||||
0 | 0 | |||||||||
−594.985 | + | 1030.54i | −0.0321261 | + | 0.0556441i | |||||
11887.0 | 0.640467 | 0.320233 | − | 0.947339i | ||||||
0.320233 | + | 0.947339i | ||||||||
0 | 0 | |||||||||
26904.0 | 1.44339 | |||||||||
1906.22 | − | 3301.66i | 0.102050 | − | 0.176756i | |||||
0 | 0 | |||||||||
−6886.74 | − | 11928.2i | −0.367119 | − | 0.635868i | |||||
1940.78 | + | 3361.54i | 0.103240 | + | 0.178817i | |||||
0 | 0 | |||||||||
−2907.22 | + | 5035.45i | −0.153996 | + | 0.266728i | −0.932693 | − | 0.360672i | ||
0.778697 | + | 0.627400i | ||||||||
983.217 | 0.0519711 | |||||||||
0 | 0 | |||||||||
−627.661 | −0.0330373 | |||||||||
3493.12 | − | 6050.26i | 0.183476 | − | 0.317790i | |||||
0 | 0 | |||||||||
−1861.42 | − | 3224.07i | −0.0973611 | − | 0.168634i | |||||
−4075.42 | − | 7058.83i | −0.212717 | − | 0.368437i | |||||
0 | 0 | |||||||||
1529.31 | − | 2648.84i | 0.0794892 | − | 0.137679i | |||||
−4488.23 | −0.232800 | −0.116400 | − | 0.993202i | ||||||
−0.116400 | + | 0.993202i | ||||||||
0 | 0 | |||||||||
1790.00 | 0.0924590 | |||||||||
7139.52 | − | 12366.0i | 0.368013 | − | 0.637418i | |||||
0 | 0 | |||||||||
−5641.35 | − | 9771.11i | −0.289585 | − | 0.501575i | |||||
−7811.10 | − | 13529.2i | −0.400134 | − | 0.693052i | |||||
0 | 0 | |||||||||
−11592.0 | + | 20077.9i | −0.591366 | + | 1.02428i | 0.402682 | + | 0.915340i | ||
−0.994049 | + | 0.108937i | ||||||||
1487.94 | 0.0757510 | |||||||||
0 | 0 | |||||||||
1485.24 | 0.0753029 | |||||||||
−387.726 | + | 671.561i | −0.0196177 | + | 0.0339789i | |||||
0 | 0 | |||||||||
10338.7 | + | 17907.2i | 0.520967 | + | 0.902341i | 0.999703 | + | 0.0243822i | ||
−0.478736 | + | 0.877959i | ||||||||
−10231.4 | − | 17721.2i | −0.514505 | − | 0.891149i | |||||
0 | 0 | |||||||||
−1772.55 | + | 3070.15i | −0.0887734 | + | 0.153760i | |||||
45812.8 | 2.28974 | |||||||||
0 | 0 | |||||||||
−13001.7 | −0.647191 | −0.323595 | − | 0.946196i | ||||||
−0.323595 | + | 0.946196i | ||||||||
−365.578 | + | 633.199i | −0.0181607 | + | 0.0314552i | |||||
0 | 0 | |||||||||
−1432.77 | − | 2481.63i | −0.0708876 | − | 0.122781i | |||||
4633.55 | + | 8025.54i | 0.228786 | + | 0.396270i | 0.957449 | − | 0.288603i | ||
−0.728662 | + | 0.684873i | ||||||||
0 | 0 | |||||||||
−1435.55 | + | 2486.44i | −0.0705964 | + | 0.122277i | |||||
−1892.86 | −0.0928988 | |||||||||
0 | 0 | |||||||||
677.260 | 0.0331057 | |||||||||
−1716.48 | + | 2973.03i | −0.0837367 | + | 0.145036i | |||||
0 | 0 | |||||||||
15361.1 | + | 26606.3i | 0.746385 | + | 1.29278i | 0.949545 | + | 0.313632i | ||
−0.203159 | + | 0.979146i | ||||||||
−39.5081 | − | 68.4300i | −0.00191584 | − | 0.00331833i | |||||
0 | 0 | |||||||||
−9767.01 | + | 16917.0i | −0.471742 | + | 0.817081i | |||||
1817.85 | 0.0876267 | |||||||||
0 | 0 | |||||||||
5356.86 | 0.257197 | 0.128599 | − | 0.991697i | ||||||
0.128599 | + | 0.991697i | ||||||||
−8717.46 | + | 15099.1i | −0.417721 | + | 0.723514i | |||||
0 | 0 | |||||||||
380.430 | + | 658.924i | 0.0181574 | + | 0.0314496i | |||||
5009.51 | + | 8676.72i | 0.238626 | + | 0.413313i | 0.960320 | − | 0.278899i | ||
−0.721694 | + | 0.692212i | ||||||||
0 | 0 | |||||||||
−99.4368 | + | 172.230i | −0.00471802 | + | 0.00817186i | |||||
−1758.89 | −0.0832912 | |||||||||
0 | 0 | |||||||||
24523.1 | 1.15673 | |||||||||
−26055.7 | + | 45129.8i | −1.22662 | + | 2.12457i | |||||
0 | 0 | |||||||||
8775.55 | + | 15199.7i | 0.411514 | + | 0.712764i | 0.995056 | − | 0.0993198i | ||
−0.583541 | + | 0.812084i | ||||||||
−114.554 | − | 198.414i | −0.00536137 | − | 0.00928617i | |||||
0 | 0 | |||||||||
925.353 | − | 1602.76i | 0.0431401 | − | 0.0747209i | |||||
−17144.5 | −0.797731 | −0.398866 | − | 0.917009i | ||||||
−0.398866 | + | 0.917009i | ||||||||
0 | 0 | |||||||||
−7841.94 | −0.363472 | |||||||||
−364.062 | + | 630.574i | −0.0168416 | + | 0.0291705i | |||||
0 | 0 | |||||||||
13211.1 | + | 22882.2i | 0.608791 | + | 1.05446i | |||||
−19204.4 | − | 33263.0i | −0.883272 | − | 1.52987i | |||||
0 | 0 | |||||||||
18215.4 | − | 31549.9i | 0.834567 | − | 1.44551i | |||||
−629.771 | −0.0287987 | |||||||||
0 | 0 | |||||||||
−5396.43 | −0.245829 | |||||||||
735.220 | − | 1273.44i | 0.0334282 | − | 0.0578994i | |||||
0 | 0 | |||||||||
4297.73 | + | 7443.89i | 0.194660 | + | 0.337161i | 0.946789 | − | 0.321855i | ||
−0.752129 | + | 0.659016i | ||||||||
2073.19 | + | 3590.88i | 0.0937239 | + | 0.162335i | |||||
0 | 0 | |||||||||
−31.9993 | + | 55.4243i | −0.00144112 | + | 0.00249609i | |||||
2325.79 | 0.104546 | |||||||||
0 | 0 | |||||||||
36115.5 | 1.61727 | |||||||||
−5211.93 | + | 9027.33i | −0.232953 | + | 0.403486i | |||||
0 | 0 | |||||||||
2380.43 | + | 4123.03i | 0.105995 | + | 0.183589i | |||||
10418.9 | + | 18046.1i | 0.463057 | + | 0.802039i | 0.999112 | − | 0.0421447i | ||
−0.536054 | + | 0.844184i | ||||||||
0 | 0 | |||||||||
7.01843 | − | 12.1563i | 0.000310756 | − | 0.000538245i | |||||
3979.32 | 0.175863 | |||||||||
0 | 0 | |||||||||
1971.27 | 0.0867929 | |||||||||
27515.9 | − | 47659.0i | 1.20924 | − | 2.09446i | |||||
0 | 0 | |||||||||
106.522 | + | 184.502i | 0.00466386 | + | 0.00807805i | |||||
4902.79 | + | 8491.88i | 0.214260 | + | 0.371109i | |||||
0 | 0 | |||||||||
6490.09 | − | 11241.2i | 0.282575 | − | 0.489434i | |||||
−6529.43 | −0.283761 | −0.141880 | − | 0.989884i | ||||||
−0.141880 | + | 0.989884i | ||||||||
0 | 0 | |||||||||
29764.0 | 1.28873 | 0.644363 | − | 0.764720i | ||||||
0.644363 | + | 0.764720i | ||||||||
−601.076 | + | 1041.09i | −0.0259774 | + | 0.0449941i | |||||
0 | 0 | |||||||||
13545.6 | + | 23461.6i | 0.583258 | + | 1.01023i | |||||
107.938 | + | 186.954i | 0.00463915 | + | 0.00803525i | |||||
0 | 0 | |||||||||
−16139.6 | + | 27954.6i | −0.691129 | + | 1.19707i | |||||
1349.29 | 0.0576735 | |||||||||
0 | 0 | |||||||||
1043.81 | 0.0444531 | |||||||||
−14785.6 | + | 25609.4i | −0.628527 | + | 1.08864i | 0.359321 | + | 0.933214i | ||
−0.987847 | + | 0.155426i | ||||||||
0 | 0 | |||||||||
−3056.22 | − | 5293.52i | −0.129445 | − | 0.224205i | 0.794017 | − | 0.607896i | ||
−0.923462 | + | 0.383691i | ||||||||
−2992.92 | − | 5183.90i | −0.126533 | − | 0.219162i | |||||
0 | 0 | |||||||||
−1603.51 | + | 2777.35i | −0.0675462 | + | 0.116993i | |||||
3265.87 | 0.137322 | 0.0686612 | − | 0.997640i | ||||||
0.0686612 | + | 0.997640i | ||||||||
0 | 0 | |||||||||
−19327.8 | −0.809747 | −0.404874 | − | 0.914373i | ||||||
−0.404874 | + | 0.914373i | ||||||||
356.723 | − | 617.862i | 0.0149181 | − | 0.0258389i | |||||
0 | 0 | |||||||||
−2487.88 | − | 4309.13i | −0.103668 | − | 0.179558i | |||||
−479.325 | − | 830.215i | −0.0199371 | − | 0.0345321i | |||||
0 | 0 | |||||||||
1629.61 | − | 2822.57i | 0.0675389 | − | 0.116981i | |||||
28191.8 | 1.16631 | |||||||||
0 | 0 | |||||||||
−15011.3 | −0.618801 | |||||||||
−18819.1 | + | 32595.6i | −0.774382 | + | 1.34127i | 0.160760 | + | 0.986994i | ||
−0.935141 | + | 0.354275i | ||||||||
0 | 0 | |||||||||
4303.44 | + | 7453.77i | 0.176450 | + | 0.305620i | |||||
−1352.62 | − | 2342.81i | −0.0553617 | − | 0.0958892i | |||||
0 | 0 | |||||||||
9856.01 | − | 17071.1i | 0.401964 | − | 0.696223i | |||||
−3092.77 | −0.125911 | |||||||||
0 | 0 | |||||||||
−5304.92 | −0.215206 | |||||||||
−4791.26 | + | 8298.71i | −0.194024 | + | 0.336060i | |||||
0 | 0 | |||||||||
353.454 | + | 612.200i | 0.0142628 | + | 0.0247039i | |||||
−12595.8 | − | 21816.5i | −0.507377 | − | 0.878803i | |||||
0 | 0 | |||||||||
−20934.8 | + | 36260.2i | −0.840322 | + | 1.45548i | 0.0493012 | + | 0.998784i | ||
−0.889623 | + | 0.456696i | ||||||||
2222.60 | 0.0890583 | |||||||||
0 | 0 | |||||||||
11480.0 | 0.458386 | |||||||||
−16536.5 | + | 28642.0i | −0.659131 | + | 1.14165i | 0.321711 | + | 0.946838i | ||
−0.980841 | + | 0.194810i | ||||||||
0 | 0 | |||||||||
7304.84 | + | 12652.4i | 0.290149 | + | 0.502553i | 0.973845 | − | 0.227214i | ||
−0.683696 | + | 0.729767i | ||||||||
−438.616 | − | 759.706i | −0.0173915 | − | 0.0301230i | |||||
0 | 0 | |||||||||
−4003.21 | + | 6933.77i | −0.158179 | + | 0.273973i | |||||
118.786 | 0.00468543 | 0.00234271 | − | 0.999997i | ||||||
0.00234271 | + | 0.999997i | ||||||||
0 | 0 | |||||||||
1404.60 | 0.0552115 | |||||||||
9975.38 | − | 17277.9i | 0.391429 | − | 0.677974i | |||||
0 | 0 | |||||||||
301.725 | + | 522.602i | 0.0117986 | + | 0.0204358i | |||||
1185.65 | + | 2053.61i | 0.0462837 | + | 0.0801658i | |||||
0 | 0 | |||||||||
29896.1 | − | 51781.5i | 1.16302 | − | 2.01441i | |||||
665.044 | 0.0258271 | |||||||||
0 | 0 | |||||||||
−26215.0 | −1.01457 | |||||||||
239.760 | − | 415.276i | 0.00926327 | − | 0.0160444i | |||||
0 | 0 | |||||||||
3180.09 | + | 5508.08i | 0.122445 | + | 0.212080i | 0.920731 | − | 0.390197i | ||
−0.798287 | + | 0.602278i | ||||||||
17360.9 | + | 30070.0i | 0.667315 | + | 1.15582i | |||||
0 | 0 | |||||||||
−383.077 | + | 663.508i | −0.0146744 | + | 0.0254169i | |||||
−32601.5 | −1.24673 | −0.623367 | − | 0.781930i | ||||||
−0.623367 | + | 0.781930i | ||||||||
0 | 0 | |||||||||
1478.26 | 0.0563392 | 0.0281696 | − | 0.999603i | ||||||
0.0281696 | + | 0.999603i | ||||||||
441.959 | − | 765.496i | 0.0168153 | − | 0.0291249i | |||||
0 | 0 | |||||||||
−8575.43 | − | 14853.1i | −0.325166 | − | 0.563204i | |||||
22633.6 | + | 39202.5i | 0.856776 | + | 1.48398i | 0.874987 | + | 0.484146i | ||
−0.0182111 | + | 0.999834i | ||||||||
0 | 0 | |||||||||
−1574.29 | + | 2726.75i | −0.0593927 | + | 0.102871i | |||||
126.136 | 0.00475066 | |||||||||
0 | 0 | |||||||||
−5881.88 | −0.220785 | |||||||||
292.151 | − | 506.020i | 0.0109479 | − | 0.0189623i | |||||
0 | 0 | |||||||||
819.003 | + | 1418.56i | 0.0305880 | + | 0.0529800i | |||||
−153.108 | − | 265.190i | −0.00570866 | − | 0.00988770i | |||||
0 | 0 | |||||||||
4703.77 | − | 8147.17i | 0.174796 | − | 0.302756i | |||||
−7922.22 | −0.293905 | |||||||||
0 | 0 | |||||||||
−1702.29 | −0.0629428 | |||||||||
19338.0 | − | 33494.4i | 0.713841 | − | 1.23641i | |||||
0 | 0 | |||||||||
−3888.78 | − | 6735.57i | −0.143074 | − | 0.247812i | |||||
1133.70 | + | 1963.62i | 0.0416413 | + | 0.0721248i | |||||
0 | 0 | |||||||||
−3630.76 | + | 6288.66i | −0.132919 | + | 0.230222i | −0.924801 | − | 0.380452i | ||
0.791882 | + | 0.610675i | ||||||||
−8409.04 | −0.307339 | |||||||||
0 | 0 | |||||||||
−299.019 | −0.0108927 | |||||||||
−9717.20 | + | 16830.7i | −0.353398 | + | 0.612103i | −0.986842 | − | 0.161685i | ||
0.633445 | + | 0.773788i | ||||||||
0 | 0 | |||||||||
−13217.5 | − | 22893.4i | −0.479118 | − | 0.829857i | |||||
−7046.80 | − | 12205.4i | −0.255019 | − | 0.441706i | |||||
0 | 0 | |||||||||
2002.08 | − | 3467.70i | 0.0722166 | − | 0.125083i | |||||
−2668.08 | −0.0960827 | |||||||||
0 | 0 | |||||||||
−24010.2 | −0.861830 | −0.430915 | − | 0.902392i | ||||||
−0.430915 | + | 0.902392i | ||||||||
356.216 | − | 616.984i | 0.0127653 | − | 0.0221102i | |||||
0 | 0 | |||||||||
5770.26 | + | 9994.38i | 0.206110 | + | 0.356993i | |||||
−23773.6 | − | 41177.0i | −0.847797 | − | 1.46843i | |||||
0 | 0 | |||||||||
−14138.6 | + | 24488.7i | −0.502565 | + | 0.870468i | |||||
27198.3 | 0.965217 | |||||||||
0 | 0 | |||||||||
4020.06 | 0.142204 | |||||||||
20777.3 | − | 35987.4i | 0.733780 | − | 1.27094i | −0.221477 | − | 0.975166i | ||
0.955257 | − | 0.295778i | ||||||||
0 | 0 | |||||||||
−19952.5 | − | 34558.8i | −0.702382 | − | 1.21656i | |||||
−12561.6 | − | 21757.3i | −0.441489 | − | 0.764681i | |||||
0 | 0 | |||||||||
5730.52 | − | 9925.55i | 0.200758 | − | 0.347724i | |||||
−136.103 | −0.00476049 | |||||||||
0 | 0 | |||||||||
16811.0 | 0.586116 | 0.293058 | − | 0.956095i | ||||||
0.293058 | + | 0.956095i | ||||||||
1839.85 | − | 3186.71i | 0.0640439 | − | 0.110927i | |||||
0 | 0 | |||||||||
7.93962 | + | 13.7518i | 0.000275491 | + | 0.000477165i | |||||
−5366.43 | − | 9294.93i | −0.185909 | − | 0.322004i | 0.757973 | − | 0.652286i | ||
−0.943883 | + | 0.330281i | ||||||||
0 | 0 | |||||||||
−17982.0 | + | 31145.8i | −0.620971 | + | 1.07555i | |||||
10724.4 | 0.369757 | |||||||||
0 | 0 | |||||||||
−32503.7 | −1.11711 | |||||||||
15774.7 | − | 27322.5i | 0.541297 | − | 0.937553i | −0.457533 | − | 0.889192i | ||
0.998830 | − | 0.0483606i | ||||||||
0 | 0 | |||||||||
−35912.1 | − | 62201.6i | −1.22841 | − | 2.12766i | |||||
14713.0 | + | 25483.6i | 0.502475 | + | 0.870313i | |||||
0 | 0 | |||||||||
27.1988 | − | 47.1097i | 0.000925965 | − | 0.00160382i | |||||
−31955.2 | −1.08618 | −0.543090 | − | 0.839675i | ||||||
−0.543090 | + | 0.839675i | ||||||||
0 | 0 | |||||||||
353.470 | 0.0119770 | |||||||||
−2034.74 | + | 3524.27i | −0.0688370 | + | 0.119229i | |||||
0 | 0 | |||||||||
14568.3 | + | 25233.0i | 0.491315 | + | 0.850982i | |||||
−738.197 | − | 1278.59i | −0.0248567 | − | 0.0430531i | |||||
0 | 0 | |||||||||
12907.1 | − | 22355.8i | 0.433256 | − | 0.750421i | |||||
35357.7 | 1.18501 | |||||||||
0 | 0 | |||||||||
−3685.17 | −0.123124 | |||||||||
−185.961 | + | 322.093i | −0.00620340 | + | 0.0107446i | |||||
0 | 0 | |||||||||
−19186.1 | − | 33231.3i | −0.638038 | − | 1.10511i | −0.985863 | − | 0.167555i | ||
0.347825 | − | 0.937560i | ||||||||
8869.97 | + | 15363.2i | 0.294516 | + | 0.510117i | |||||
0 | 0 | |||||||||
73.1626 | − | 126.721i | 0.00242176 | − | 0.00419461i | |||||
−46445.9 | −1.53503 | −0.767517 | − | 0.641028i | ||||||
−0.767517 | + | 0.641028i | ||||||||
0 | 0 | |||||||||
−5159.17 | −0.169985 | |||||||||
7164.51 | − | 12409.3i | 0.235694 | − | 0.408233i | |||||
0 | 0 | |||||||||
−3716.25 | − | 6436.73i | −0.121879 | − | 0.211101i | |||||
23954.1 | + | 41489.8i | 0.784402 | + | 1.35862i | 0.929356 | + | 0.369185i | ||
−0.144954 | + | 0.989438i | ||||||||
0 | 0 | |||||||||
2336.83 | − | 4047.50i | 0.0762874 | − | 0.132134i | |||||
1084.48 | 0.0353493 | |||||||||
0 | 0 | |||||||||
19020.1 | 0.618082 | |||||||||
20273.8 | − | 35115.3i | 0.657818 | − | 1.13937i | −0.323361 | − | 0.946276i | ||
0.981179 | − | 0.193099i | ||||||||
0 | 0 | |||||||||
−416.633 | − | 721.629i | −0.0134772 | − | 0.0233432i | |||||
357.072 | + | 618.467i | 0.0115330 | + | 0.0199757i | |||||
0 | 0 | |||||||||
18397.1 | − | 31864.8i | 0.592399 | − | 1.02607i | |||||
30224.6 | 0.971776 | |||||||||
0 | 0 | |||||||||
−10651.5 | −0.341428 | −0.170714 | − | 0.985321i | ||||||
−0.170714 | + | 0.985321i | ||||||||
1008.98 | − | 1747.61i | 0.0322936 | − | 0.0559342i | |||||
0 | 0 | |||||||||
−1463.06 | − | 2534.09i | −0.0466856 | − | 0.0808618i | |||||
−478.376 | − | 828.571i | −0.0152417 | − | 0.0263995i | |||||
0 | 0 | |||||||||
9379.18 | − | 16245.2i | 0.297935 | − | 0.516039i | −0.677728 | − | 0.735313i | ||
0.975663 | + | 0.219273i | ||||||||
−42971.2 | −1.36296 | |||||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 162.4.c.j.55.1 | 4 | ||
3.2 | odd | 2 | 162.4.c.i.55.2 | 4 | |||
9.2 | odd | 6 | 162.4.a.h.1.1 | yes | 2 | ||
9.4 | even | 3 | inner | 162.4.c.j.109.1 | 4 | ||
9.5 | odd | 6 | 162.4.c.i.109.2 | 4 | |||
9.7 | even | 3 | 162.4.a.e.1.2 | ✓ | 2 | ||
36.7 | odd | 6 | 1296.4.a.j.1.2 | 2 | |||
36.11 | even | 6 | 1296.4.a.s.1.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.4.a.e.1.2 | ✓ | 2 | 9.7 | even | 3 | ||
162.4.a.h.1.1 | yes | 2 | 9.2 | odd | 6 | ||
162.4.c.i.55.2 | 4 | 3.2 | odd | 2 | |||
162.4.c.i.109.2 | 4 | 9.5 | odd | 6 | |||
162.4.c.j.55.1 | 4 | 1.1 | even | 1 | trivial | ||
162.4.c.j.109.1 | 4 | 9.4 | even | 3 | inner | ||
1296.4.a.j.1.2 | 2 | 36.7 | odd | 6 | |||
1296.4.a.s.1.1 | 2 | 36.11 | even | 6 |