Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [110,5,Mod(41,110)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(110, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("110.41");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 110.h (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 |
Twist minimal: | yes |
Sato-Tate group: |
Embedding invariants
Embedding label | 51.4 | ||
Character | 110.51 | ||
Dual form | 110.5.h.a.41.4 |
-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 .
−1.66251 | + | 2.28825i | −0.415627 | + | 0.572061i | |||||
4.89398 | − | 15.0621i | 0.543776 | − | 1.67357i | −0.180106 | − | 0.983647i | ||
0.723882 | − | 0.689923i | ||||||||
−2.47214 | − | 7.60845i | −0.154508 | − | 0.475528i | |||||
−9.04508 | + | 6.57164i | −0.361803 | + | 0.262866i | |||||
26.3296 | + | 36.2396i | 0.731377 | + | 1.00665i | |||||
−75.4276 | + | 24.5079i | −1.53934 | + | 0.500162i | −0.951194 | − | 0.308593i | ||
−0.588146 | + | 0.808755i | ||||||||
21.5200 | + | 6.99226i | 0.336249 | + | 0.109254i | |||||
−137.386 | − | 99.8171i | −1.69613 | − | 1.23231i | |||||
− | 31.6228i | − | 0.316228i | |||||||
116.546 | + | 32.5265i | 0.963192 | + | 0.268814i | |||||
−126.698 | −0.879848 | |||||||||
−109.181 | + | 150.275i | −0.646044 | + | 0.889203i | −0.998920 | − | 0.0464667i | ||
0.352876 | + | 0.935670i | ||||||||
69.3189 | − | 213.342i | 0.353668 | − | 1.08848i | |||||
54.7164 | + | 168.400i | 0.243184 | + | 0.748444i | |||||
−51.7771 | + | 37.6183i | −0.202254 | + | 0.146946i | |||||
199.384 | + | 274.428i | 0.689909 | + | 0.949579i | 0.999999 | − | 0.00112843i | ||
−0.310090 | + | 0.950707i | ||||||||
456.812 | − | 148.427i | 1.40991 | − | 0.458109i | |||||
7.65733 | + | 2.48802i | 0.0212114 | + | 0.00689202i | 0.319604 | − | 0.947551i | ||
−0.298392 | + | 0.954443i | ||||||||
72.3607 | + | 52.5731i | 0.180902 | + | 0.131433i | |||||
1256.04i | 2.84817i | |||||||||
−268.188 | + | 212.611i | −0.554107 | + | 0.439279i | |||||
473.434 | 0.894960 | 0.447480 | − | 0.894294i | ||||||
0.447480 | + | 0.894294i | ||||||||
210.637 | − | 289.916i | 0.365689 | − | 0.503327i | |||||
38.6271 | − | 118.882i | 0.0618034 | − | 0.190211i | |||||
−162.352 | − | 499.668i | −0.240166 | − | 0.739154i | |||||
−1138.00 | + | 826.808i | −1.56105 | + | 1.13417i | |||||
372.935 | + | 513.301i | 0.475682 | + | 0.654720i | |||||
−1312.91 | + | 426.591i | −1.56113 | + | 0.507243i | −0.957110 | − | 0.289724i | ||
−0.604023 | + | 0.796967i | ||||||||
−476.307 | − | 154.761i | −0.529229 | − | 0.171957i | |||||
−1342.21 | − | 975.170i | −1.39668 | − | 1.01474i | −0.995095 | − | 0.0989211i | ||
−0.401581 | − | 0.915824i | ||||||||
− | 181.019i | − | 0.176777i | |||||||
1060.29 | − | 1596.25i | 0.973640 | − | 1.46580i | |||||
−959.436 | −0.829962 | |||||||||
521.192 | − | 717.359i | 0.425463 | − | 0.585600i | |||||
−419.816 | + | 1292.06i | −0.323932 | + | 0.996960i | |||||
124.180 | + | 382.188i | 0.0907089 | + | 0.279173i | 0.986112 | − | 0.166084i | ||
−0.895403 | + | 0.445257i | ||||||||
−18.4236 | + | 13.3855i | −0.0127587 | + | 0.00926974i | |||||
1729.14 | + | 2379.95i | 1.13684 | + | 1.56473i | |||||
−240.600 | + | 78.1758i | −0.150375 | + | 0.0488599i | |||||
−2871.98 | − | 933.163i | −1.70850 | − | 0.555124i | −0.718414 | − | 0.695616i | ||
−0.990082 | + | 0.140492i | ||||||||
−2874.13 | − | 2088.18i | −1.62933 | − | 1.18378i | |||||
2574.67i | 1.39247i | 0.717816 | + | 0.696233i | ||||||
−0.717816 | + | 0.696233i | ||||||||
−40.6421 | − | 967.146i | −0.0209928 | − | 0.499559i | |||||
1898.63 | 0.937597 | |||||||||
−787.088 | + | 1083.33i | −0.371970 | + | 0.511972i | |||||
−705.352 | + | 2170.85i | −0.319308 | + | 0.982730i | 0.654636 | + | 0.755944i | ||
−0.973945 | + | 0.226786i | ||||||||
313.215 | + | 963.977i | 0.135944 | + | 0.418393i | |||||
3146.24 | − | 2285.88i | 1.31039 | − | 0.952052i | |||||
207.813 | + | 286.031i | 0.0831254 | + | 0.114412i | |||||
5109.26 | − | 1660.10i | 1.96434 | − | 0.638254i | |||||
1413.27 | + | 459.201i | 0.522661 | + | 0.169823i | |||||
−2648.05 | − | 1923.92i | −0.942702 | − | 0.684913i | 0.00636735 | − | 0.999980i | ||
−0.949070 | + | 0.315066i | ||||||||
− | 3978.61i | − | 1.36441i | |||||||
−1267.92 | + | 471.695i | −0.419148 | + | 0.155932i | |||||
−1794.56 | −0.572246 | |||||||||
74.9497 | − | 103.159i | 0.0230686 | − | 0.0317511i | |||||
1206.58 | − | 3713.48i | 0.358675 | − | 1.10389i | |||||
218.082 | + | 671.187i | 0.0626492 | + | 0.192814i | 0.977482 | − | 0.211018i | ||
−0.914833 | + | 0.403832i | ||||||||
1146.00 | − | 832.614i | 0.318332 | − | 0.231282i | |||||
338.369 | + | 465.725i | 0.0909350 | + | 0.125161i | 0.852060 | − | 0.523443i | ||
−0.761125 | + | 0.648605i | ||||||||
4462.86 | − | 1450.07i | 1.16099 | − | 0.377229i | |||||
12809.0 | + | 4161.91i | 3.22727 | + | 1.04860i | |||||
414.217 | + | 300.946i | 0.101127 | + | 0.0734732i | |||||
− | 2076.75i | − | 0.491540i | |||||||
1889.87 | + | 5079.99i | 0.433854 | + | 1.16621i | |||||
−1985.60 | −0.442326 | −0.221163 | − | 0.975237i | ||||||
−0.221163 | + | 0.975237i | ||||||||
1595.07 | − | 2195.43i | 0.344955 | − | 0.474789i | |||||
2316.98 | − | 7130.93i | 0.486658 | − | 1.49778i | |||||
775.009 | + | 2385.23i | 0.158165 | + | 0.486782i | |||||
−1710.82 | + | 1242.99i | −0.339382 | + | 0.246575i | −0.744401 | − | 0.667733i | ||
0.405019 | + | 0.914308i | ||||||||
−2258.60 | − | 3108.70i | −0.435687 | − | 0.599672i | |||||
1025.58 | − | 333.230i | 0.192452 | − | 0.0625315i | −0.211205 | − | 0.977442i | ||
0.403657 | + | 0.914910i | ||||||||
−1080.99 | − | 351.235i | −0.197405 | − | 0.0641409i | |||||
−1601.58 | − | 1163.61i | −0.284725 | − | 0.206865i | |||||
− | 64.4112i | − | 0.0111515i | |||||||
−9587.96 | + | 402.912i | −1.61713 | + | 0.0679561i | |||||
−8320.61 | −1.36762 | |||||||||
2287.68 | − | 3148.72i | 0.366557 | − | 0.504522i | −0.585404 | − | 0.810741i | ||
0.951961 | + | 0.306220i | ||||||||
221.115 | − | 680.521i | 0.0345492 | − | 0.106331i | |||||
2633.49 | + | 8105.05i | 0.401385 | + | 1.23534i | |||||
6910.00 | − | 5020.41i | 1.02766 | − | 0.746640i | |||||
−5341.44 | − | 7351.87i | −0.775358 | − | 1.06719i | −0.995779 | − | 0.0917844i | ||
0.220420 | − | 0.975405i | ||||||||
9556.54 | − | 3105.11i | 1.35439 | − | 0.440066i | |||||
−3606.89 | − | 1171.95i | −0.499223 | − | 0.162207i | |||||
−5891.47 | − | 4280.41i | −0.796576 | − | 0.578746i | |||||
21863.0i | 2.88849i | |||||||||
2280.64 | + | 1514.89i | 0.294504 | + | 0.195621i | |||||
−593.105 | −0.0748776 | −0.0374388 | − | 0.999299i | ||||||
−0.0374388 | + | 0.999299i | ||||||||
−3156.49 | + | 4344.54i | −0.389691 | + | 0.536363i | |||||
4552.36 | − | 14010.7i | 0.549736 | − | 1.69191i | |||||
−1170.39 | − | 3602.10i | −0.138279 | − | 0.425579i | |||||
−21256.9 | + | 15444.0i | −2.45773 | + | 1.78564i | |||||
−3794.79 | − | 5223.07i | −0.429469 | − | 0.591113i | |||||
−85.6116 | + | 27.8169i | −0.00948605 | + | 0.00308220i | |||||
−2726.54 | − | 885.906i | −0.295848 | − | 0.0961269i | |||||
−79.0172 | − | 57.4093i | −0.00839804 | − | 0.00610154i | 0.583578 | − | 0.812057i | ||
−0.591976 | + | 0.805955i | ||||||||
10999.7i | 1.14532i | |||||||||
−12765.2 | − | 16102.0i | −1.30244 | − | 1.64289i | |||||
−1000.00 | −0.100000 | |||||||||
3849.12 | − | 5297.86i | 0.377328 | − | 0.519347i | −0.577546 | − | 0.816358i | ||
0.954874 | + | 0.297011i | ||||||||
−4695.47 | + | 14451.2i | −0.451314 | + | 1.38900i | |||||
4639.97 | + | 14280.4i | 0.437362 | + | 1.34606i | 0.890647 | + | 0.454696i | ||
−0.453285 | + | 0.891366i | ||||||||
−3400.34 | + | 2470.49i | −0.314381 | + | 0.228411i | |||||
−8254.26 | − | 11361.0i | −0.748686 | − | 1.03048i | |||||
8804.81 | − | 2860.86i | 0.783625 | − | 0.254615i | |||||
8188.80 | + | 2660.70i | 0.715242 | + | 0.232396i | 0.643959 | − | 0.765060i | ||
0.0712828 | + | 0.997456i | ||||||||
9104.03 | + | 6614.47i | 0.780524 | + | 0.567084i | |||||
− | 6056.07i | − | 0.509728i | −0.966977 | − | 0.254864i | ||||
0.966977 | − | 0.254864i | ||||||||
1028.58 | − | 3685.52i | 0.0850064 | − | 0.304588i | |||||
6364.31 | 0.516541 | |||||||||
2983.48 | − | 4106.41i | 0.237841 | − | 0.327360i | |||||
2258.58 | − | 6951.20i | 0.176880 | − | 0.544381i | −0.822834 | − | 0.568281i | ||
0.999714 | + | 0.0239005i | ||||||||
111.450 | + | 343.007i | 0.00857569 | + | 0.0263933i | |||||
−4282.25 | + | 3111.24i | −0.323800 | + | 0.235254i | |||||
6491.40 | + | 8934.64i | 0.482417 | + | 0.663989i | |||||
30000.1 | − | 9747.63i | 2.19155 | − | 0.712077i | |||||
−1898.40 | − | 616.828i | −0.136340 | − | 0.0442997i | |||||
−21764.7 | − | 15813.0i | −1.53695 | − | 1.11666i | |||||
4006.55i | 0.278232i | |||||||||
12525.1 | + | 7581.68i | 0.855478 | + | 0.517839i | |||||
−1628.23 | −0.109395 | |||||||||
−28110.9 | + | 38691.3i | −1.85808 | + | 2.55742i | |||||
−4101.42 | + | 12622.9i | −0.266741 | + | 0.820946i | |||||
431.864 | + | 1329.14i | 0.0276393 | + | 0.0850651i | |||||
−30818.6 | + | 22391.0i | −1.94121 | + | 1.41037i | |||||
4179.71 | + | 5752.88i | 0.259142 | + | 0.356679i | 0.918687 | − | 0.394987i | ||
−0.659544 | + | 0.751666i | ||||||||
−1377.28 | + | 447.504i | −0.0840623 | + | 0.0273135i | |||||
38780.0 | + | 12600.4i | 2.33039 | + | 0.757189i | |||||
4752.12 | + | 3452.62i | 0.281191 | + | 0.204297i | |||||
− | 4271.99i | − | 0.248936i | −0.992224 | − | 0.124468i | ||||
0.992224 | − | 0.124468i | ||||||||
−14766.2 | − | 4121.04i | −0.847463 | − | 0.236515i | |||||
−638.551 | −0.0360987 | |||||||||
3301.08 | − | 4543.55i | 0.183843 | − | 0.253038i | |||||
4859.86 | − | 14957.1i | 0.266659 | − | 0.820691i | |||||
2371.86 | + | 7299.83i | 0.128236 | + | 0.394671i | |||||
4256.22 | − | 3092.33i | 0.226769 | − | 0.164757i | −0.468600 | − | 0.883411i | ||
0.695368 | + | 0.718654i | ||||||||
12465.3 | + | 17157.0i | 0.654554 | + | 0.900916i | |||||
−7985.47 | + | 2594.64i | −0.413305 | + | 0.134291i | −0.508286 | − | 0.861188i | ||
0.0949814 | + | 0.995479i | ||||||||
−6746.45 | − | 2192.06i | −0.344207 | − | 0.111840i | |||||
29245.7 | + | 21248.2i | 1.47104 | + | 1.06877i | |||||
− | 5981.26i | − | 0.296631i | |||||||
−17612.6 | + | 13962.7i | −0.861295 | + | 0.682808i | |||||
10868.4 | 0.524133 | |||||||||
9072.00 | − | 12486.5i | 0.431487 | − | 0.593890i | |||||
−942.518 | + | 2900.77i | −0.0442164 | + | 0.136084i | |||||
−19032.5 | − | 58576.1i | −0.880769 | − | 2.71073i | |||||
2600.87 | − | 1889.64i | 0.118739 | − | 0.0862693i | |||||
−9698.99 | − | 13349.5i | −0.436872 | − | 0.601302i | 0.532642 | − | 0.846341i | ||
−0.969513 | + | 0.245039i | ||||||||
5325.27 | − | 1730.28i | 0.236679 | − | 0.0769015i | |||||
−6137.80 | − | 1994.29i | −0.269190 | − | 0.0874651i | 0.171312 | − | 0.985217i | ||
−0.440502 | + | 0.897752i | ||||||||
147.389 | + | 107.084i | 0.00637935 | + | 0.00463487i | |||||
− | 57604.6i | − | 2.46079i | |||||||
15018.1 | − | 22609.5i | 0.633248 | − | 0.953342i | |||||
18548.8 | 0.772064 | |||||||||
13833.1 | − | 19039.6i | 0.568421 | − | 0.782364i | |||||
2488.58 | − | 7659.06i | 0.100961 | − | 0.310725i | −0.887801 | − | 0.460228i | ||
0.988761 | + | 0.149504i | ||||||||
3401.76 | + | 10469.5i | 0.136267 | + | 0.419386i | |||||
−41937.9 | + | 30469.7i | −1.65887 | + | 1.20524i | |||||
1189.59 | + | 1637.34i | 0.0464685 | + | 0.0639584i | |||||
−35710.0 | + | 11602.9i | −1.37765 | + | 0.447625i | |||||
−22924.5 | − | 7448.63i | −0.873515 | − | 0.283822i | |||||
−24463.6 | − | 17773.9i | −0.920758 | − | 0.668970i | 0.0229546 | − | 0.999737i | ||
−0.943713 | + | 0.330767i | ||||||||
24158.2i | 0.898209i | |||||||||
899.541 | + | 21406.1i | 0.0330410 | + | 0.786266i | |||||
25703.1 | 0.932758 | |||||||||
−19175.6 | + | 26392.9i | −0.687567 | + | 0.946355i | −0.999994 | − | 0.00358666i | ||
0.312426 | + | 0.949942i | ||||||||
−8782.57 | + | 27030.0i | −0.311174 | + | 0.957695i | |||||
−1836.27 | − | 5651.45i | −0.0642928 | − | 0.197873i | |||||
8678.18 | − | 6305.07i | 0.300283 | − | 0.218168i | |||||
−803.667 | − | 1106.15i | −0.0274842 | − | 0.0378288i | |||||
19589.2 | − | 6364.93i | 0.662157 | − | 0.215148i | |||||
20432.8 | + | 6639.01i | 0.682709 | + | 0.221825i | 0.629781 | − | 0.776773i | ||
0.0529278 | + | 0.998598i | ||||||||
−50027.9 | − | 36347.4i | −1.65240 | − | 1.20054i | |||||
9913.66i | 0.323711i | |||||||||
−7258.01 | + | 2700.14i | −0.234311 | + | 0.0871688i | |||||
11176.8 | 0.356756 | |||||||||
986.042 | − | 1357.17i | 0.0311211 | − | 0.0428346i | |||||
−6223.61 | + | 19154.3i | −0.194239 | + | 0.597806i | 0.805746 | + | 0.592262i | ||
−0.999985 | + | 0.00554457i | ||||||||
−4693.68 | − | 14445.7i | −0.144867 | − | 0.445854i | |||||
−29614.9 | + | 21516.5i | −0.903967 | + | 0.656771i | −0.939482 | − | 0.342598i | ||
0.0355146 | + | 0.999369i | ||||||||
24491.7 | + | 33709.9i | 0.739393 | + | 1.01769i | |||||
8670.79 | − | 2817.31i | 0.258914 | − | 0.0841264i | |||||
10188.3 | + | 3310.37i | 0.300930 | + | 0.0977780i | |||||
−3634.83 | − | 2640.86i | −0.106204 | − | 0.0771616i | |||||
− | 74316.7i | − | 2.14813i | |||||||
14311.3 | + | 38468.8i | 0.409255 | + | 1.10008i | |||||
18260.5 | 0.516652 | |||||||||
65573.6 | − | 90254.3i | 1.83572 | − | 2.52665i | |||||
78.6780 | − | 242.146i | 0.00217945 | − | 0.00670765i | |||||
9645.48 | + | 29685.7i | 0.264397 | + | 0.813731i | 0.991832 | + | 0.127554i | ||
−0.727434 | + | 0.686177i | ||||||||
6560.06 | − | 4766.16i | 0.177953 | − | 0.129290i | |||||
−8084.08 | − | 11126.8i | −0.217028 | − | 0.298713i | 0.686597 | − | 0.727039i | ||
−0.903625 | + | 0.428325i | ||||||||
262.733 | − | 85.3673i | 0.00698091 | − | 0.00226823i | |||||
−31280.4 | − | 10163.6i | −0.822626 | − | 0.267287i | |||||
−25169.9 | − | 18287.0i | −0.655194 | − | 0.476026i | |||||
6804.30i | 0.175328i | 0.996150 | + | 0.0876639i | ||||||
−0.996150 | + | 0.0876639i | ||||||||
58067.6 | − | 2440.15i | 1.48116 | − | 0.0622425i | |||||
42627.8 | 1.07643 | 0.538216 | − | 0.842807i | ||||||
0.538216 | + | 0.842807i | ||||||||
1662.51 | − | 2288.25i | 0.0415627 | − | 0.0572061i | |||||
−9717.51 | + | 29907.4i | −0.240527 | + | 0.740265i | |||||
5723.61 | + | 17615.5i | 0.140271 | + | 0.431709i | |||||
88575.0 | − | 64353.5i | 2.14941 | − | 1.56164i | |||||
−25261.6 | − | 34769.5i | −0.607015 | − | 0.835485i | |||||
32109.7 | − | 10433.1i | 0.764062 | − | 0.248259i | |||||
−40391.0 | − | 13123.8i | −0.951810 | − | 0.309262i | |||||
−65043.4 | − | 47256.8i | −1.51797 | − | 1.10287i | |||||
− | 11888.0i | − | 0.274779i | |||||||
811.507 | + | 539.035i | 0.0185780 | + | 0.0123403i | |||||
39719.6 | 0.900670 | |||||||||
34454.8 | − | 47422.9i | 0.773899 | − | 1.06518i | −0.222030 | − | 0.975040i | ||
0.995929 | − | 0.0901411i | ||||||||
−8091.72 | + | 24903.8i | −0.180040 | + | 0.554106i | |||||
10349.3 | + | 31851.8i | 0.228113 | + | 0.702061i | |||||
−19702.3 | + | 14314.6i | −0.430219 | + | 0.312572i | |||||
−16919.8 | − | 23288.1i | −0.366031 | − | 0.503799i | |||||
−30271.0 | + | 9835.66i | −0.648813 | + | 0.210812i | |||||
125139. | + | 40660.1i | 2.65750 | + | 0.863473i | |||||
13857.8 | + | 10068.3i | 0.291595 | + | 0.211856i | |||||
− | 17078.2i | − | 0.356085i | |||||||
6723.35 | + | 8480.84i | 0.138912 | + | 0.175224i | |||||
−63008.8 | −1.29008 | |||||||||
−10580.7 | + | 14563.1i | −0.214689 | + | 0.295493i | |||||
−5698.33 | + | 17537.7i | −0.114588 | + | 0.352665i | −0.991861 | − | 0.127327i | ||
0.877273 | + | 0.479992i | ||||||||
4436.41 | + | 13653.9i | 0.0884169 | + | 0.272119i | |||||
−17173.3 | + | 12477.1i | −0.339226 | + | 0.246462i | |||||
12151.1 | + | 16724.6i | 0.237903 | + | 0.327446i | |||||
6106.78 | − | 1984.21i | 0.118511 | − | 0.0385067i | −0.249161 | − | 0.968462i | ||
0.367672 | + | 0.929955i | ||||||||
−970.170 | − | 315.227i | −0.0186628 | − | 0.00606393i | |||||
82077.4 | + | 59632.7i | 1.56514 | + | 1.13714i | 0.931633 | + | 0.363401i | ||
0.633505 | + | 0.773739i | ||||||||
− | 14971.3i | − | 0.283011i | |||||||
−40854.6 | + | 146387.i | −0.765627 | + | 2.74333i | |||||
−31236.7 | −0.580348 | |||||||||
−35041.2 | + | 48230.0i | −0.645456 | + | 0.888394i | −0.998892 | − | 0.0470645i | ||
0.353436 | + | 0.935459i | ||||||||
−27570.4 | + | 84853.1i | −0.503515 | + | 1.54966i | |||||
−7886.08 | − | 24270.8i | −0.142799 | − | 0.439490i | |||||
4567.56 | − | 3318.53i | 0.0820088 | − | 0.0595829i | |||||
−36230.6 | − | 49867.1i | −0.645028 | − | 0.887805i | |||||
72368.0 | − | 23513.8i | 1.27759 | − | 0.415115i | |||||
−99182.8 | − | 32226.5i | −1.73636 | − | 0.564179i | −0.742019 | − | 0.670379i | ||
−0.994345 | + | 0.106200i | ||||||||
−9167.96 | − | 6660.91i | −0.159166 | − | 0.115641i | |||||
− | 51292.2i | − | 0.883116i | −0.897233 | − | 0.441558i | ||||
0.897233 | − | 0.441558i | ||||||||
−38171.7 | + | 16055.8i | −0.651795 | + | 0.274158i | |||||
21028.9 | 0.356127 | |||||||||
2706.95 | − | 3725.80i | 0.0454675 | − | 0.0625806i | |||||
−13436.1 | + | 41351.9i | −0.223841 | + | 0.688912i | |||||
−41800.6 | − | 128649.i | −0.690737 | − | 2.12587i | |||||
−1209.93 | + | 879.063i | −0.0198319 | + | 0.0144087i | |||||
−22065.6 | − | 30370.7i | −0.358766 | − | 0.493800i | |||||
−136876. | + | 44473.6i | −2.20764 | + | 0.717305i | |||||
−3759.38 | − | 1221.50i | −0.0601501 | − | 0.0195440i | |||||
55459.4 | + | 40293.6i | 0.880295 | + | 0.639572i | 0.933329 | − | 0.359021i | ||
−0.0530347 | + | 0.998593i | ||||||||
− | 107746.i | − | 1.69668i | |||||||
55177.0 | + | 15399.1i | 0.862019 | + | 0.240578i | |||||
−20112.8 | −0.311749 | |||||||||
−35304.1 | + | 48591.9i | −0.542931 | + | 0.747281i | |||||
1265.73 | − | 3895.53i | 0.0193136 | − | 0.0594410i | |||||
−23012.1 | − | 70823.9i | −0.348409 | − | 1.07229i | −0.959733 | − | 0.280913i | ||
0.611324 | − | 0.791380i | ||||||||
−93304.8 | + | 67789.9i | −1.40173 | + | 1.01842i | |||||
−18733.3 | − | 25784.1i | −0.279264 | − | 0.384373i | |||||
−15800.9 | + | 5134.02i | −0.233741 | + | 0.0759470i | |||||
222958. | + | 72443.3i | 3.27296 | + | 1.06345i | |||||
9775.36 | + | 7102.22i | 0.142407 | + | 0.103464i | |||||
− | 29697.8i | − | 0.429352i | −0.976685 | − | 0.214676i | ||||
0.976685 | − | 0.214676i | ||||||||
33978.9 | − | 26937.4i | 0.487530 | − | 0.386499i | |||||
36595.2 | 0.521113 | |||||||||
1061.60 | − | 1461.16i | 0.0150036 | − | 0.0206507i | |||||
−2902.65 | + | 8933.43i | −0.0407166 | + | 0.125313i | |||||
4908.68 | + | 15107.4i | 0.0683432 | + | 0.210339i | |||||
76848.3 | − | 55833.6i | 1.06201 | − | 0.771597i | 0.0875530 | − | 0.996160i | ||
0.974460 | + | 0.224562i | ||||||||
26146.0 | + | 35986.8i | 0.358655 | + | 0.493647i | |||||
−27600.9 | + | 8968.09i | −0.375825 | + | 0.122113i | −0.490838 | − | 0.871251i | ||
0.115013 | + | 0.993364i | ||||||||
−20647.0 | − | 6708.63i | −0.279074 | − | 0.0906767i | |||||
−188752. | − | 137137.i | −2.53260 | − | 1.84004i | |||||
14880.3i | 0.198203i | |||||||||
8368.66 | − | 12598.9i | 0.110660 | − | 0.166596i | |||||
−59983.2 | −0.787429 | |||||||||
−36853.9 | + | 50725.1i | −0.480313 | + | 0.661094i | −0.978565 | − | 0.205938i | ||
0.498252 | + | 0.867032i | ||||||||
7338.74 | − | 22586.3i | 0.0949580 | − | 0.292251i | |||||
87062.3 | + | 267950.i | 1.11846 | + | 3.44228i | |||||
16232.0 | − | 11793.2i | 0.207041 | − | 0.150424i | |||||
11738.0 | + | 16156.0i | 0.148656 | + | 0.204608i | 0.876851 | − | 0.480763i | ||
−0.728194 | + | 0.685371i | ||||||||
−97242.3 | + | 31595.9i | −1.22280 | + | 0.397313i | |||||
−56112.1 | − | 18231.9i | −0.700622 | − | 0.227646i | −0.0630203 | − | 0.998012i | ||
−0.637601 | + | 0.770366i | ||||||||
13686.6 | + | 9943.89i | 0.169691 | + | 0.123288i | |||||
1425.63i | 0.0175516i | |||||||||
−2669.08 | − | 63515.2i | −0.0326309 | − | 0.776507i | |||||
239497. | 2.90761 | |||||||||
−18068.8 | + | 24869.6i | −0.217844 | + | 0.299836i | |||||
−9747.56 | + | 29999.9i | −0.116708 | + | 0.359190i | |||||
13490.0 | + | 41517.9i | 0.160404 | + | 0.493674i | |||||
−1251.42 | + | 909.207i | −0.0147780 | + | 0.0107368i | |||||
−5070.73 | − | 6979.27i | −0.0594710 | − | 0.0818548i | |||||
−139410. | + | 45297.1i | −1.62390 | + | 0.527636i | −0.972857 | − | 0.231407i | ||
−0.651041 | + | 0.759043i | ||||||||
165678. | + | 53832.2i | 1.91678 | + | 0.622798i | |||||
−6383.37 | − | 4637.79i | −0.0733509 | − | 0.0532926i | |||||
9092.97i | 0.103782i | |||||||||
−159523. | + | 59346.1i | −1.80847 | + | 0.672790i | |||||
46671.6 | 0.525557 | |||||||||
−51690.2 | + | 71145.5i | −0.578184 | + | 0.795802i | |||||
−4893.98 | + | 15062.1i | −0.0543776 | + | 0.167357i | |||||
−63099.8 | − | 194201.i | −0.696458 | − | 2.14348i | |||||
14767.6 | − | 10729.3i | 0.161918 | − | 0.117640i | |||||
−60959.5 | − | 83903.6i | −0.663982 | − | 0.913893i | |||||
−490.069 | + | 159.233i | −0.00530286 | + | 0.00172300i | |||||
−6121.15 | − | 1988.88i | −0.0658012 | − | 0.0213801i | |||||
131814. | + | 95768.2i | 1.40772 | + | 1.02277i | |||||
92349.8i | 0.979849i | 0.871765 | + | 0.489925i | ||||||
−0.871765 | + | 0.489925i | ||||||||
26768.3 | + | 71953.5i | 0.282175 | + | 0.758491i | |||||
237801. | 2.49056 | |||||||||
−30837.6 | + | 42444.3i | −0.320890 | + | 0.441668i | |||||
−40126.6 | + | 123497.i | −0.414870 | + | 1.27684i | 0.497497 | + | 0.867465i | ||
−0.912367 | + | 0.409373i | ||||||||
20569.7 | + | 63307.0i | 0.211309 | + | 0.650343i | |||||
48991.0 | − | 35594.0i | 0.500066 | − | 0.363319i | −0.308976 | − | 0.951070i | ||
0.809042 | + | 0.587751i | ||||||||
13388.5 | + | 18427.7i | 0.135792 | + | 0.186901i | |||||
−143209. | + | 46531.6i | −1.44328 | + | 0.468950i | |||||
−29612.3 | − | 9621.63i | −0.296550 | − | 0.0963551i | |||||
49792.9 | + | 36176.7i | 0.495506 | + | 0.360006i | 0.807298 | − | 0.590144i | ||
−0.311792 | + | 0.950150i | ||||||||
− | 146620.i | − | 1.44991i | |||||||
−166891. | + | 7013.19i | −1.64002 | + | 0.0689182i | |||||
−5724.33 | −0.0559017 | |||||||||
80151.8 | − | 110319.i | 0.777863 | − | 1.07064i | |||||
32817.9 | − | 101003.i | 0.316519 | − | 0.974144i | |||||
843.965 | + | 2597.46i | 0.00808946 | + | 0.0248968i | |||||
55156.5 | − | 40073.6i | 0.525420 | − | 0.381740i | |||||
13647.7 | + | 18784.4i | 0.129209 | + | 0.177841i | |||||
81341.9 | − | 26429.6i | 0.765384 | − | 0.248688i | |||||
−91217.4 | − | 29638.3i | −0.853065 | − | 0.277178i | |||||
−55280.0 | − | 40163.2i | −0.513831 | − | 0.373320i | |||||
− | 181029.i | − | 1.67246i | |||||||
−50477.9 | − | 33529.4i | −0.463525 | − | 0.307892i | |||||
161058. | 1.47003 | 0.735013 | − | 0.678053i | ||||||
0.735013 | + | 0.678053i | ||||||||
−42731.6 | + | 58814.9i | −0.387679 | + | 0.533595i | |||||
21088.2 | − | 64902.8i | 0.190174 | − | 0.585295i | |||||
−28513.9 | − | 87756.8i | −0.255602 | − | 0.786662i | |||||
17960.0 | − | 13048.7i | 0.160035 | − | 0.116272i | |||||
−47250.1 | − | 65034.2i | −0.418528 | − | 0.576054i | |||||
145390. | − | 47240.1i | 1.28019 | − | 0.415959i | 0.411544 | − | 0.911390i | ||
0.868648 | + | 0.495431i | ||||||||
15984.7 | + | 5193.75i | 0.139917 | + | 0.0454619i | |||||
−93646.4 | − | 68038.1i | −0.814877 | − | 0.592043i | |||||
30340.0i | 0.262457i | |||||||||
−124710. | − | 157310.i | −1.07249 | − | 1.35284i | |||||
3867.25 | 0.0330636 | |||||||||
−69364.3 | + | 95471.8i | −0.589587 | + | 0.811497i | |||||
−18002.7 | + | 55406.7i | −0.152132 | + | 0.468215i | |||||
25904.6 | + | 79726.2i | 0.217640 | + | 0.669827i | |||||
−49161.4 | + | 35717.8i | −0.410650 | + | 0.298355i | |||||
77459.2 | + | 106613.i | 0.643301 | + | 0.885427i | 0.998786 | − | 0.0492544i | ||
−0.355486 | + | 0.934682i | ||||||||
166344. | − | 54048.3i | 1.37356 | − | 0.446297i | |||||
−85603.5 | − | 27814.3i | −0.702814 | − | 0.228358i | −0.0642580 | − | 0.997933i | ||
−0.638556 | + | 0.769575i | ||||||||
−22684.9 | − | 16481.5i | −0.185183 | − | 0.134543i | |||||
− | 261286.i | − | 2.12081i | |||||||
5887.92 | − | 21097.1i | 0.0475200 | − | 0.170270i | |||||
−136929. | −1.09887 | −0.549436 | − | 0.835536i | ||||||
−0.549436 | + | 0.835536i | ||||||||
−18581.5 | + | 25575.3i | −0.148277 | + | 0.204086i | |||||
7306.09 | − | 22485.8i | 0.0579733 | − | 0.178424i | |||||
1466.24 | + | 4512.61i | 0.0115692 | + | 0.0356064i | |||||
−344694. | + | 250435.i | −2.70456 | + | 1.96498i | |||||
−33483.0 | − | 46085.4i | −0.261251 | − | 0.359581i | |||||
182984. | − | 59455.2i | 1.41979 | − | 0.461319i | 0.504257 | − | 0.863554i | ||
0.915537 | + | 0.402235i | ||||||||
40858.5 | + | 13275.7i | 0.315266 | + | 0.102436i | |||||
−105379. | − | 76562.7i | −0.808615 | − | 0.587493i | |||||
− | 103537.i | − | 0.790096i | |||||||
175494. | − | 151550.i | 1.33183 | − | 1.15011i | |||||
−117854. | −0.889491 | |||||||||
−7086.57 | + | 9753.82i | −0.0531925 | + | 0.0732131i | |||||
−7968.55 | + | 24524.7i | −0.0594864 | + | 0.183080i | |||||
−31877.4 | − | 98108.5i | −0.236674 | − | 0.728407i | −0.996895 | − | 0.0787429i | ||
0.760221 | − | 0.649664i | ||||||||
−24513.0 | + | 17809.8i | −0.181010 | + | 0.131511i | |||||
301426. | + | 414877.i | 2.21374 | + | 3.04696i | |||||
12085.9 | − | 3926.93i | 0.0882823 | − | 0.0286847i | |||||
246888. | + | 80218.6i | 1.79371 | + | 0.582811i | |||||
170055. | + | 123552.i | 1.22886 | + | 0.892821i | |||||
− | 158342.i | − | 1.13809i | −0.822305 | − | 0.569047i | ||||
0.822305 | − | 0.569047i | ||||||||
−111819. | − | 31207.1i | −0.799413 | − | 0.223105i | |||||
22133.3 | 0.157392 | |||||||||
−30358.3 | + | 41784.6i | −0.214734 | + | 0.295557i | |||||
79239.6 | − | 243874.i | 0.557519 | − | 1.71587i | |||||
97507.4 | + | 300097.i | 0.682424 | + | 2.10028i | |||||
−82118.6 | + | 59662.6i | −0.571693 | + | 0.415359i | −0.835720 | − | 0.549156i | ||
0.264027 | + | 0.964515i | ||||||||
423.287 | + | 582.604i | 0.00293135 | + | 0.00403466i | |||||
107106. | − | 34800.9i | 0.737843 | − | 0.239740i | |||||
−83963.9 | − | 27281.5i | −0.575395 | − | 0.186957i | |||||
−121897. | − | 88563.2i | −0.830988 | − | 0.603748i | 0.0888508 | − | 0.996045i | ||
−0.919839 | + | 0.392297i | ||||||||
22934.8i | 0.155537i | |||||||||
84076.2 | − | 66653.0i | 0.567220 | − | 0.449675i | |||||
38900.6 | 0.261085 | |||||||||
256996. | − | 353725.i | 1.71595 | − | 2.36180i | |||||
−241.455 | + | 743.122i | −0.00160388 | + | 0.00493625i | |||||
−27838.1 | − | 85676.7i | −0.183967 | − | 0.566192i | 0.815962 | − | 0.578105i | ||
−0.999929 | + | 0.0119134i | ||||||||
75260.7 | − | 54680.1i | 0.494810 | − | 0.359501i | |||||
94395.1 | + | 129924.i | 0.617442 | + | 0.849835i | |||||
83690.4 | − | 27192.7i | 0.544632 | − | 0.176962i | |||||
−64345.3 | − | 20907.1i | −0.416612 | − | 0.135365i | |||||
−15569.9 | − | 11312.2i | −0.100298 | − | 0.0728710i | |||||
43514.2i | 0.278893i | |||||||||
−90954.1 | + | 136930.i | −0.580005 | + | 0.873186i | |||||
−267884. | −1.69968 | −0.849839 | − | 0.527043i | ||||||
−0.849839 | + | 0.527043i | ||||||||
−70869.0 | + | 97542.8i | −0.447394 | + | 0.615785i | |||||
−3125.06 | + | 9617.94i | −0.0196296 | + | 0.0604138i | |||||
2472.14 | + | 7608.45i | 0.0154508 | + | 0.0475528i | |||||
180960. | − | 131475.i | 1.12537 | − | 0.817627i | 0.140353 | − | 0.990102i | ||
0.985014 | + | 0.172475i | ||||||||
−52280.1 | − | 71957.4i | −0.323507 | − | 0.445270i | |||||
293088. | − | 95230.1i | 1.80463 | − | 0.586359i | |||||
−49824.0 | − | 16188.8i | −0.305264 | − | 0.0991864i | |||||
−77083.6 | − | 56004.5i | −0.469950 | − | 0.341439i | |||||
309670.i | 1.87865i | |||||||||
2041.54 | + | 48581.7i | 0.0123245 | + | 0.293281i | |||||
121559. | 0.730241 | |||||||||
21795.0 | − | 29998.3i | 0.130290 | − | 0.179329i | −0.738888 | − | 0.673828i | ||
0.869178 | + | 0.494500i | ||||||||
−29509.2 | + | 90820.0i | −0.175546 | + | 0.540274i | |||||
−25747.1 | − | 79241.6i | −0.152421 | − | 0.469104i | |||||
97180.9 | − | 70606.0i | 0.572514 | − | 0.415956i | |||||
−32898.8 | − | 45281.3i | −0.192877 | − | 0.265472i | |||||
216270. | − | 70270.5i | 1.26182 | − | 0.409989i | |||||
96627.6 | + | 31396.2i | 0.561055 | + | 0.182298i | |||||
27202.8 | + | 19764.0i | 0.157190 | + | 0.114206i | |||||
132976.i | 0.764719i | |||||||||
−2582.58 | + | 960.777i | −0.0147809 | + | 0.00549883i | |||||
−254975. | −1.45234 | −0.726171 | − | 0.687514i | ||||||
−0.726171 | + | 0.687514i | ||||||||
−66034.1 | + | 90888.1i | −0.374343 | + | 0.515239i | |||||
−105341. | + | 324206.i | −0.594337 | + | 1.82918i | −0.0363359 | + | 0.999340i | ||
−0.558001 | + | 0.829840i | ||||||||
51234.0 | + | 157682.i | 0.287696 | + | 0.885436i | |||||
313594. | − | 227839.i | 1.75262 | − | 1.27335i | |||||
−43533.4 | − | 59918.5i | −0.242153 | − | 0.333296i | |||||
40326.2 | − | 13102.8i | 0.223259 | − | 0.0725414i | |||||
−90090.5 | − | 29272.2i | −0.496432 | − | 0.161301i | |||||
−36936.3 | − | 26835.8i | −0.202581 | − | 0.147183i | |||||
− | 68881.7i | − | 0.376025i | |||||||
124113. | + | 333617.i | 0.674376 | + | 1.81273i | |||||
81418.2 | 0.440336 | |||||||||
51918.6 | − | 71459.8i | 0.279491 | − | 0.384687i | −0.646074 | − | 0.763275i | ||
0.925565 | + | 0.378588i | ||||||||
27819.4 | − | 85619.4i | 0.149067 | − | 0.458780i | |||||
87917.2 | + | 270581.i | 0.468920 | + | 1.44319i | 0.853985 | + | 0.520297i | ||
−0.385066 | + | 0.922889i | ||||||||
−301084. | + | 218751.i | −1.59849 | + | 1.16137i | |||||
−143676. | − | 197753.i | −0.759285 | − | 1.04507i | |||||
−46077.3 | + | 14971.4i | −0.242390 | + | 0.0787572i | |||||
3625.24 | + | 1177.91i | 0.0189834 | + | 0.00616808i | |||||
39079.1 | + | 28392.7i | 0.203703 | + | 0.147999i | |||||
145989.i | 0.757517i | 0.925496 | + | 0.378758i | ||||||
−0.925496 | + | 0.378758i | ||||||||
−30583.9 | + | 1285.22i | −0.157974 | + | 0.00663851i | |||||
−660420. | −3.39581 | |||||||||
104753. | − | 144180.i | 0.536192 | − | 0.738005i | |||||
1141.72 | − | 3513.84i | 0.00581769 | − | 0.0179050i | −0.948106 | − | 0.317956i | ||
0.953923 | + | 0.300051i | ||||||||
−15733.4 | − | 48422.5i | −0.0798100 | − | 0.245630i | |||||
5364.69 | − | 3897.67i | 0.0270910 | − | 0.0196827i | |||||
−30657.0 | − | 42195.7i | −0.154120 | − | 0.212128i | |||||
−248539. | + | 80755.2i | −1.24388 | + | 0.404162i | |||||
−38619.0 | − | 12548.1i | −0.192417 | − | 0.0625202i | |||||
−134699. | − | 97864.7i | −0.668147 | − | 0.485437i | 0.201257 | − | 0.979538i | ||
−0.869404 | + | 0.494101i | ||||||||
− | 60040.1i | − | 0.296494i | |||||||
−304366. | − | 202172.i | −1.49638 | − | 0.993958i | |||||
−58471.4 | −0.286198 | |||||||||
−60076.6 | + | 82688.3i | −0.292758 | + | 0.402947i | |||||
−5612.20 | + | 17272.6i | −0.0272284 | + | 0.0838003i | |||||
50897.0 | + | 156645.i | 0.245849 | + | 0.756646i | |||||
2334.23 | − | 1695.92i | 0.0112257 | − | 0.00815596i | |||||
90738.0 | + | 124890.i | 0.434467 | + | 0.597992i | 0.968971 | − | 0.247173i | ||
−0.534504 | + | 0.845166i | ||||||||
−272909. | + | 88673.4i | −1.30103 | + | 0.422729i | |||||
−453799. | − | 147448.i | −2.15396 | − | 0.699865i | |||||
34258.0 | + | 24889.9i | 0.161900 | + | 0.117627i | |||||
53007.3i | 0.249421i | 0.992193 | + | 0.124711i | ||||||
−0.992193 | + | 0.124711i | ||||||||
−267048. | − | 336855.i | −1.25114 | − | 1.57819i | |||||
176639. | 0.823995 | 0.411998 | − | 0.911185i | ||||||
0.411998 | + | 0.911185i | ||||||||
51931.2 | − | 71477.1i | 0.241208 | − | 0.331995i | |||||
90777.7 | − | 279385.i | 0.419830 | − | 1.29210i | |||||
−52106.0 | − | 160366.i | −0.239947 | − | 0.738481i | |||||
174511. | − | 126789.i | 0.800181 | − | 0.581366i | −0.110786 | − | 0.993844i | ||
0.910967 | + | 0.412479i | ||||||||
−148329. | − | 204157.i | −0.677226 | − | 0.932121i | |||||
149769. | − | 48663.0i | 0.680891 | − | 0.221235i | |||||
68648.3 | + | 22305.2i | 0.310767 | + | 0.100974i | |||||
−103183. | − | 74966.6i | −0.465120 | − | 0.337929i | |||||
15968.8i | 0.0716784i | |||||||||
−83744.9 | + | 300068.i | −0.374314 | + | 1.34121i | |||||
174342. | 0.775970 | |||||||||
591.561 | − | 814.214i | 0.00262188 | − | 0.00360871i | |||||
−66507.1 | + | 204688.i | −0.293531 | + | 0.903395i | |||||
171766. | + | 528641.i | 0.754919 | + | 2.32340i | |||||
238634. | − | 173378.i | 1.04442 | − | 0.758819i | |||||
193242. | + | 265975.i | 0.842231 | + | 1.15923i | 0.985522 | + | 0.169550i | ||
−0.143291 | + | 0.989681i | ||||||||
30483.6 | − | 9904.73i | 0.132307 | − | 0.0429893i | |||||
−70991.7 | − | 23066.6i | −0.306844 | − | 0.0996996i | |||||
117369. | + | 85273.7i | 0.505196 | + | 0.367047i | |||||
594653.i | 2.54900i | |||||||||
26721.2 | − | 114039.i | 0.114068 | − | 0.486815i | |||||
1091.99 | 0.00464232 | |||||||||
−34960.8 | + | 48119.4i | −0.148016 | + | 0.203727i | |||||
−69972.0 | + | 215352.i | −0.295030 | + | 0.908010i | 0.688181 | + | 0.725539i | ||
−0.983211 | + | 0.182471i | ||||||||
4025.22 | + | 12388.3i | 0.0169025 | + | 0.0520204i | |||||
−387437. | + | 281489.i | −1.62025 | + | 1.17718i | |||||
−72285.8 | − | 99492.9i | −0.301065 | − | 0.414381i | |||||
−274974. | + | 89344.6i | −1.14059 | + | 0.370600i | −0.817591 | − | 0.575799i | ||
−0.322999 | + | 0.946399i | ||||||||
363875. | + | 118230.i | 1.50322 | + | 0.488425i | |||||
−378842. | − | 275245.i | −1.55871 | − | 1.13247i | |||||
− | 4230.06i | − | 0.0173337i | |||||||
221279. | + | 61755.9i | 0.903086 | + | 0.252039i | |||||
106180. | 0.431597 | |||||||||
98580.4 | − | 135684.i | 0.399096 | − | 0.549309i | |||||
125790. | − | 387143.i | 0.507211 | − | 1.56104i | |||||
−18146.5 | − | 55849.2i | −0.0728773 | − | 0.224293i | 0.907983 | − | 0.419008i | ||
−0.980860 | + | 0.194714i | ||||||||
9045.08 | − | 6571.64i | 0.0361803 | − | 0.0262866i | |||||
303689. | + | 417991.i | 1.20991 | + | 1.66530i | |||||
−184404. | + | 59916.3i | −0.731748 | + | 0.237759i | |||||
−241937. | − | 78610.2i | −0.956240 | − | 0.310701i | −0.210991 | − | 0.977488i | ||
−0.745248 | + | 0.666787i | ||||||||
246549. | + | 179128.i | 0.970604 | + | 0.705185i | |||||
73214.6i | 0.287088i | |||||||||
−126969. | + | 100657.i | −0.495904 | + | 0.393137i | |||||
−94109.5 | −0.366115 | |||||||||
33437.7 | − | 46023.0i | 0.129571 | − | 0.178340i | |||||
138608. | − | 426592.i | 0.534999 | − | 1.64656i | −0.208652 | − | 0.977990i | ||
0.743651 | − | 0.668568i | ||||||||
−52496.9 | − | 161569.i | −0.201834 | − | 0.621180i | |||||
−69190.1 | + | 50269.6i | −0.264973 | + | 0.192514i | |||||
6809.63 | + | 9372.65i | 0.0259767 | + | 0.0357538i | |||||
−10771.2 | + | 3499.77i | −0.0409288 | + | 0.0132986i | |||||
200320. | + | 65088.0i | 0.758226 | + | 0.246363i | |||||
−135814. | − | 98674.9i | −0.512072 | − | 0.372042i | |||||
− | 326206.i | − | 1.22516i | |||||||
−152816. | + | 230062.i | −0.571727 | + | 0.860723i | |||||
90144.7 | 0.335955 | |||||||||
199995. | − | 275270.i | 0.742481 | − | 1.02194i | |||||
14521.2 | − | 44691.7i | 0.0537027 | − | 0.165280i | |||||
−26747.6 | − | 82320.5i | −0.0985391 | − | 0.303272i | 0.889621 | − | 0.456700i | ||
−0.988160 | + | 0.153428i | ||||||||
−536437. | + | 389744.i | −1.96869 | + | 1.43034i | |||||
174188. | + | 239749.i | 0.636817 | + | 0.876503i | 0.998441 | − | 0.0558208i | ||
−0.361624 | + | 0.932324i | ||||||||
−32503.2 | + | 10560.9i | −0.118376 | + | 0.0384627i | |||||
149321. | + | 48517.3i | 0.541754 | + | 0.176027i | |||||
67956.0 | + | 49372.9i | 0.245616 | + | 0.178450i | |||||
− | 562772.i | − | 2.02634i | |||||||
5149.28 | + | 122536.i | 0.0184705 | + | 0.439536i | |||||
−55701.2 | −0.199046 | |||||||||
−60839.7 | + | 83738.7i | −0.216589 | + | 0.298109i | |||||
37034.4 | − | 113980.i | 0.131346 | − | 0.404241i | |||||
1578.58 | + | 4858.38i | 0.00557756 | + | 0.0171660i | |||||
453798. | − | 329704.i | 1.59738 | − | 1.16057i | |||||
−15616.2 | − | 21493.9i | −0.0547637 | − | 0.0753758i | |||||
−91553.6 | + | 29747.6i | −0.319866 | + | 0.103931i | |||||
−42730.1 | − | 13883.8i | −0.148732 | − | 0.0483259i | |||||
258047. | + | 187482.i | 0.894849 | + | 0.650146i | |||||
268672.i | 0.928233i | |||||||||
441034. | − | 164074.i | 1.51808 | − | 0.564759i | |||||
−125815. | −0.431463 | |||||||||
112033. | − | 154200.i | 0.382781 | − | 0.526853i | −0.573537 | − | 0.819179i | ||
0.956319 | + | 0.292326i | ||||||||
25365.6 | − | 78067.3i | 0.0863468 | − | 0.265748i | |||||
179149. | + | 551364.i | 0.607596 | + | 1.86999i | |||||
49676.8 | − | 36092.3i | 0.167863 | − | 0.121960i | |||||
39798.3 | + | 54777.7i | 0.133990 | + | 0.184421i | |||||
627604. | − | 203921.i | 2.10524 | − | 0.684032i | |||||
450105. | + | 146248.i | 1.50432 | + | 0.488782i | 0.941273 | − | 0.337645i | ||
0.563043 | + | 0.826427i | ||||||||
−34049.8 | − | 24738.6i | −0.113384 | − | 0.0823785i | |||||
− | 97759.3i | − | 0.324350i | |||||||
14916.3 | + | 40095.2i | 0.0493101 | + | 0.132546i | |||||
−11114.8 | −0.0366098 | |||||||||
99722.6 | − | 137256.i | 0.327277 | − | 0.450458i | |||||
−95385.6 | + | 293567.i | −0.311912 | + | 0.959968i | |||||
−54801.5 | − | 168662.i | −0.178555 | − | 0.549537i | |||||
−57565.7 | + | 41823.9i | −0.186886 | + | 0.135781i | |||||
39482.3 | + | 54342.7i | 0.127718 | + | 0.175789i | |||||
283002. | − | 91952.9i | 0.912177 | − | 0.296384i | 0.184923 | − | 0.982753i | ||
0.727254 | + | 0.686369i | ||||||||
−757878. | − | 246249.i | −2.43406 | − | 0.790873i | |||||
−386909. | − | 281106.i | −1.23818 | − | 0.899594i | |||||
56749.1i | 0.180960i | |||||||||
649462. | − | 27292.1i | 2.06361 | − | 0.0867185i | |||||
−56483.6 | −0.178834 | |||||||||
−167187. | + | 230113.i | −0.527455 | + | 0.725980i | −0.986740 | − | 0.162309i | ||
0.459285 | + | 0.888289i | ||||||||
89366.8 | − | 275043.i | 0.280943 | − | 0.864653i | |||||
25251.7 | + | 77716.8i | 0.0791032 | + | 0.243455i | |||||
135006. | − | 98087.5i | 0.421425 | − | 0.306183i | |||||
−397276. | − | 546803.i | −1.23574 | − | 1.70085i | |||||
−45508.1 | + | 14786.5i | −0.141056 | + | 0.0458319i | |||||
−56742.4 | − | 18436.7i | −0.175260 | − | 0.0569455i | 0.220072 | − | 0.975484i | ||
−0.395333 | + | 0.918538i | ||||||||
−3262.19 | − | 2370.12i | −0.0100406 | − | 0.00729492i | |||||
445717.i | 1.36706i | 0.729923 | + | 0.683529i | ||||||
−0.729923 | + | 0.683529i | ||||||||
149776. | + | 99487.0i | 0.457772 | + | 0.304070i | |||||
494335. | 1.50561 | |||||||||
−398165. | + | 548027.i | −1.20848 | + | 1.66333i | |||||
18287.4 | − | 56282.8i | 0.0553116 | − | 0.170232i | |||||
−26868.2 | − | 82691.8i | −0.0809830 | − | 0.249240i | |||||
−107665. | + | 78223.6i | −0.323389 | + | 0.234956i | −0.737620 | − | 0.675216i | ||
0.414231 | + | 0.910172i | ||||||||
−52441.8 | − | 72179.9i | −0.156972 | − | 0.216053i | |||||
−207156. | + | 67309.2i | −0.617933 | + | 0.200779i | |||||
−117430. | − | 38155.5i | −0.349080 | − | 0.113423i | |||||
583072. | + | 423626.i | 1.72731 | + | 1.25496i | |||||
− | 4375.11i | − | 0.0129165i | |||||||
−246042. | − | 310358.i | −0.723889 | − | 0.913114i | |||||
24400.4 | 0.0715437 | |||||||||
−207296. | + | 285318.i | −0.605729 | + | 0.833715i | |||||
128119. | − | 394311.i | 0.373095 | − | 1.14827i | |||||
−137518. | − | 423238.i | −0.399102 | − | 1.22831i | −0.925720 | − | 0.378208i | ||
0.526618 | − | 0.850102i | ||||||||
−398623. | + | 289616.i | −1.15294 | + | 0.837661i | |||||
−7851.48 | − | 10806.6i | −0.0226319 | − | 0.0311501i | |||||
21224.8 | − | 6896.35i | 0.0609733 | − | 0.0198114i | |||||
102487. | + | 33300.1i | 0.293423 | + | 0.0953391i | |||||
−20807.0 | − | 15117.1i | −0.0593697 | − | 0.0431346i | |||||
511499.i | 1.45457i | 0.686334 | + | 0.727286i | ||||||
−0.686334 | + | 0.727286i | ||||||||
129410. | − | 463692.i | 0.366771 | − | 1.31418i | |||||
300781. | 0.849604 | |||||||||
−77591.9 | + | 106796.i | −0.218436 | + | 0.300651i | |||||
208620. | − | 642065.i | 0.585338 | − | 1.80148i | |||||
−76863.0 | − | 236560.i | −0.214939 | − | 0.661513i | |||||
487583. | − | 354250.i | 1.35892 | − | 0.987315i | 0.360410 | − | 0.932794i | ||
0.998513 | − | 0.0545208i | ||||||||
−26329.6 | − | 36239.6i | −0.0731377 | − | 0.100665i | |||||
−454526. | + | 147685.i | −1.25837 | + | 0.408871i | −0.860915 | − | 0.508749i | ||
−0.397460 | + | 0.917620i | ||||||||
549284. | + | 178473.i | 1.51567 | + | 0.492470i | |||||
272795. | + | 198197.i | 0.750243 | + | 0.545083i | |||||
51629.3i | 0.141522i | |||||||||
−163114. | + | 13733.2i | −0.445637 | + | 0.0375200i | |||||
293338. | 0.798772 | |||||||||
80389.5 | − | 110647.i | 0.218183 | − | 0.300304i | −0.685869 | − | 0.727725i | ||
0.904053 | + | 0.427421i | ||||||||
450.379 | − | 1386.13i | 0.00121835 | − | 0.00374969i | |||||
−535817. | − | 1.64907e6i | −1.44471 | − | 4.44637i | |||||
14727.5 | − | 10700.2i | 0.0395795 | − | 0.0287562i | |||||
−249214. | − | 343014.i | −0.667560 | − | 0.918817i | |||||
−438282. | + | 142407.i | −1.17018 | + | 0.380213i | |||||
110540. | + | 35916.6i | 0.294170 | + | 0.0955815i | 0.452384 | − | 0.891823i | ||
−0.158214 | + | 0.987405i | ||||||||
−211319. | − | 153532.i | −0.560534 | − | 0.407252i | |||||
− | 534700.i | − | 1.41371i | |||||||
−209150. | − | 58370.9i | −0.551183 | − | 0.153828i | |||||
−626094. | −1.64463 | −0.822317 | − | 0.569030i | ||||||
−0.822317 | + | 0.569030i | ||||||||
−395346. | + | 544147.i | −1.03514 | + | 1.42475i | |||||
−7784.19 | + | 23957.3i | −0.0203157 | + | 0.0625253i | −0.960700 | − | 0.277587i | ||
0.940385 | + | 0.340113i | ||||||||
−45855.2 | − | 141128.i | −0.119290 | − | 0.367138i | |||||
−538770. | + | 391439.i | −1.39708 | + | 1.01504i | |||||
−215881. | − | 297134.i | −0.557999 | − | 0.768019i | |||||
44736.5 | − | 14535.8i | 0.115262 | − | 0.0374509i | |||||
−179059. | − | 58179.9i | −0.459862 | − | 0.149418i | |||||
−12640.9 | − | 9184.14i | −0.0323607 | − | 0.0235114i | |||||
171279.i | 0.437074i | |||||||||
12090.5 | − | 9585.00i | 0.0307546 | − | 0.0243813i | |||||
−64425.7 | −0.163358 | |||||||||
−80123.7 | + | 110281.i | −0.202516 | + | 0.278739i | |||||
131611. | − | 405058.i | 0.331598 | − | 1.02055i | |||||
160364. | + | 493548.i | 0.402760 | + | 1.23957i | 0.922751 | + | 0.385397i | ||
−0.519990 | + | 0.854172i | ||||||||
71247.4 | − | 51764.3i | 0.178375 | − | 0.129597i | |||||
−545669. | − | 751049.i | −1.36183 | − | 1.87439i | |||||
−165562. | + | 53794.4i | −0.411891 | + | 0.133832i | |||||
−75611.6 | − | 24567.7i | −0.187517 | − | 0.0609280i | |||||
335503. | + | 243757.i | 0.829435 | + | 0.602620i | |||||
722378.i | 1.78027i | |||||||||
261409. | − | 393546.i | 0.642213 | − | 0.966839i | |||||
359115. | 0.879492 | |||||||||
9516.75 | − | 13098.7i | 0.0232343 | − | 0.0319792i | |||||
−147680. | + | 454514.i | −0.359424 | + | 1.10619i | 0.593976 | + | 0.804483i | ||
−0.953400 | + | 0.301710i | ||||||||
119185. | + | 366814.i | 0.289169 | + | 0.889970i | |||||
−386078. | + | 280502.i | −0.933798 | + | 0.678444i | −0.946920 | − | 0.321470i | ||
0.0131219 | + | 0.999914i | ||||||||
176560. | + | 243014.i | 0.425717 | + | 0.585949i | |||||
−433574. | + | 140877.i | −1.04218 | + | 0.338625i | |||||
−7346.72 | − | 2387.09i | −0.0176047 | − | 0.00572011i | |||||
286054. | + | 207831.i | 0.683345 | + | 0.496479i | 0.874466 | − | 0.485087i | ||
−0.191121 | + | 0.981567i | ||||||||
192834.i | 0.459234i | |||||||||
3585.28 | + | 85317.7i | 0.00851204 | + | 0.202558i | |||||
−65672.8 | −0.155438 | |||||||||
1.22485e6 | − | 1.68587e6i | 2.89016 | − | 3.97797i | |||||
−74754.2 | + | 230070.i | −0.175849 | + | 0.541208i | |||||
−69709.4 | − | 214544.i | −0.163480 | − | 0.503140i | 0.835441 | − | 0.549580i | ||
−0.998921 | + | 0.0464400i | ||||||||
219469. | − | 159454.i | 0.513119 | − | 0.372803i | |||||
28074.0 | + | 38640.5i | 0.0654367 | + | 0.0900659i | |||||
183807. | − | 59722.4i | 0.427124 | − | 0.138781i | |||||
−174163. | − | 56588.8i | −0.403482 | − | 0.131099i | |||||
414238. | + | 300962.i | 0.956750 | + | 0.695120i | |||||
524030.i | 1.20666i | 0.797491 | + | 0.603331i | ||||||
−0.797491 | + | 0.603331i | ||||||||
160643. | − | 59762.9i | 0.368787 | − | 0.137197i | |||||
−322127. | −0.737265 | −0.368633 | − | 0.929575i | ||||||
−0.368633 | + | 0.929575i | ||||||||
−267759. | + | 368539.i | −0.610983 | + | 0.840945i | |||||
−308364. | + | 949047.i | −0.701515 | + | 2.15904i | |||||
−63541.5 | − | 195561.i | −0.144119 | − | 0.443553i | |||||
5775.74 | − | 4196.32i | 0.0130606 | − | 0.00948912i | |||||
113454. | + | 156156.i | 0.255783 | + | 0.352056i | |||||
−621578. | + | 201963.i | −1.39715 | + | 0.453962i | |||||
248214. | + | 80649.5i | 0.556254 | + | 0.180738i | |||||
236267. | + | 171658.i | 0.527899 | + | 0.383541i | |||||
62790.3i | 0.139876i | |||||||||
24287.3 | + | 65284.5i | 0.0539428 | + | 0.144999i | |||||
227368. | 0.503490 | |||||||||
−75463.9 | + | 103867.i | −0.166613 | + | 0.229323i | −0.884157 | − | 0.467190i | ||
0.717544 | + | 0.696513i | ||||||||
−133615. | + | 411225.i | −0.294128 | + | 0.905232i | |||||
54334.8 | + | 167225.i | 0.119253 | + | 0.367024i | |||||
−38459.3 | + | 27942.3i | −0.0841603 | + | 0.0611461i | |||||
−52364.9 | − | 72074.1i | −0.114252 | − | 0.157254i | 0.748061 | − | 0.663630i | ||
−0.862313 | + | 0.506376i | ||||||||
311376. | − | 101172.i | 0.677369 | − | 0.220091i | |||||
7367.06 | + | 2393.70i | 0.0159792 | + | 0.00519196i | |||||
−69425.5 | − | 50440.6i | −0.150142 | − | 0.109084i | |||||
− | 101692.i | − | 0.219276i | |||||||
567295. | − | 23839.2i | 1.21966 | − | 0.0512535i | |||||
535111. | 1.14710 | 0.573552 | − | 0.819169i | ||||||
0.573552 | + | 0.819169i | ||||||||
−6429.34 | + | 8849.22i | −0.0137421 | + | 0.0189144i | |||||
−18176.2 | + | 55940.7i | −0.0387367 | + | 0.119219i | |||||
−103144. | − | 317445.i | −0.219178 | − | 0.674560i | |||||
1.29988e6 | − | 944419.i | 2.75417 | − | 2.00102i | |||||
−96854.5 | − | 133309.i | −0.204618 | − | 0.281632i | |||||
578236. | − | 187880.i | 1.21805 | − | 0.395770i | |||||
−225500. | − | 73269.3i | −0.473639 | − | 0.153895i | |||||
145982. | + | 106062.i | 0.305733 | + | 0.222128i | 0.730063 | − | 0.683380i | ||
−0.424331 | + | 0.905507i | ||||||||
− | 171874.i | − | 0.358921i | |||||||
1.35747e6 | + | 901688.i | 2.82660 | + | 1.87754i | |||||
−372734. | −0.773892 | |||||||||
55178.2 | − | 75946.3i | 0.114235 | − | 0.157231i | |||||
−152872. | + | 470491.i | −0.315579 | + | 0.971253i | |||||
−316540. | − | 974210.i | −0.651573 | − | 2.00534i | |||||
205962. | − | 149640.i | 0.422743 | − | 0.307141i | |||||
554956. | + | 763832.i | 1.13581 | + | 1.56330i | |||||
75427.6 | − | 24507.9i | 0.153934 | − | 0.0500162i | |||||
−320482. | − | 104131.i | −0.652181 | − | 0.211907i | −0.0358055 | − | 0.999359i | ||
−0.616376 | + | 0.787452i | ||||||||
597887. | + | 434390.i | 1.21323 | + | 0.881466i | |||||
3235.50i | 0.00654683i | |||||||||
38486.7 | + | 48547.1i | 0.0776543 | + | 0.0979531i | |||||
−404165. | −0.813169 | |||||||||
227646. | − | 313328.i | 0.456721 | − | 0.628623i | |||||
−160490. | + | 493939.i | −0.321078 | + | 0.988176i | |||||
−27630.6 | − | 85038.1i | −0.0551218 | − | 0.169647i | |||||
574225. | − | 417199.i | 1.14232 | − | 0.829948i | 0.154883 | − | 0.987933i | ||
0.987441 | + | 0.157985i | ||||||||
39306.7 | + | 54101.0i | 0.0779739 | + | 0.107322i | |||||
−628592. | + | 204242.i | −1.24345 | + | 0.404023i | |||||
−12763.6 | − | 4147.14i | −0.0251775 | − | 0.00818067i | |||||
−635446. | − | 461679.i | −1.24997 | − | 0.908156i | |||||
− | 1.20509e6i | − | 2.36387i | |||||||
67549.5 | − | 242038.i | 0.132133 | − | 0.473447i | |||||
161120. | 0.314285 | |||||||||
−970798. | + | 1.33619e6i | −1.88839 | + | 2.59914i | |||||
−168165. | + | 517558.i | −0.326202 | + | 1.00395i | |||||
9151.06 | + | 28164.1i | 0.0177016 | + | 0.0544800i | 0.959517 | − | 0.281650i | ||
−0.941816 | + | 0.336130i | ||||||||
−98305.7 | + | 71423.3i | −0.189633 | + | 0.137776i | |||||
−699965. | − | 963419.i | −1.34650 | − | 1.85329i | |||||
350388. | − | 113848.i | 0.672164 | − | 0.218399i | |||||
−772571. | − | 251023.i | −1.47796 | − | 0.480217i | |||||
236919. | + | 172132.i | 0.451984 | + | 0.328385i | |||||
172560.i | 0.328294i | |||||||||
55022.9 | + | 653525.i | 0.104393 | + | 1.23991i | |||||
−200557. | −0.379463 | −0.189732 | − | 0.981836i | ||||||
−0.189732 | + | 0.981836i | ||||||||
195933. | − | 269679.i | 0.369696 | − | 0.508844i | |||||
−110397. | + | 339768.i | −0.207732 | + | 0.639334i | |||||
−10537.7 | − | 32431.6i | −0.0197742 | − | 0.0608587i | |||||
−706562. | + | 513347.i | −1.32226 | + | 0.960675i | |||||
−42870.7 | − | 59006.5i | −0.0800090 | − | 0.110123i | |||||
89057.4 | − | 28936.5i | 0.165753 | − | 0.0538565i | −0.224965 | − | 0.974367i | ||
0.390718 | + | 0.920510i | ||||||||
277493. | + | 90162.8i | 0.515062 | + | 0.167354i | |||||
557092. | + | 404751.i | 1.03122 | + | 0.749227i | |||||
− | 85700.7i | − | 0.158208i | |||||||
−231415. | − | 64584.7i | −0.426045 | − | 0.118903i | |||||
−1.45046e6 | −2.66314 | |||||||||
−150274. | + | 206835.i | −0.275167 | + | 0.378735i | −0.924126 | − | 0.382089i | ||
0.648959 | + | 0.760824i | ||||||||
−11107.0 | + | 34183.9i | −0.0202831 | + | 0.0624250i | |||||
7319.20 | + | 22526.2i | 0.0133299 | + | 0.0410253i | |||||
−594012. | + | 431575.i | −1.07892 | + | 0.783878i | |||||
−390015. | − | 536809.i | −0.706486 | − | 0.972394i | −0.999866 | − | 0.0163980i | ||
0.293380 | − | 0.955996i | ||||||||
−565435. | + | 183721.i | −1.02150 | + | 0.331905i | |||||
175456. | + | 57009.2i | 0.316123 | + | 0.102715i | |||||
362325. | + | 263245.i | 0.651060 | + | 0.473023i | |||||
1.54321e6i | 2.76557i | |||||||||
257309. | − | 203987.i | 0.459888 | − | 0.364585i | |||||
−682870. | −1.21724 | |||||||||
−36796.7 | + | 50646.3i | −0.0654164 | + | 0.0900379i | |||||
145739. | − | 448538.i | 0.258402 | − | 0.795279i | −0.734739 | − | 0.678350i | ||
0.993140 | − | 0.116928i | ||||||||
−45142.5 | − | 138934.i | −0.0798271 | − | 0.245682i | |||||
878326. | − | 638141.i | 1.54905 | − | 1.12545i | |||||
426308. | + | 586763.i | 0.749861 | + | 1.03210i | |||||
68622.7 | − | 22296.9i | 0.120385 | − | 0.0391156i | |||||
−848802. | − | 275793.i | −1.48512 | − | 0.482546i | |||||
−296813. | − | 215647.i | −0.517954 | − | 0.376315i | 0.297879 | − | 0.954604i | ||
−0.815833 | + | 0.578288i | ||||||||
− | 287097.i | − | 0.499678i | |||||||
501979. | − | 755720.i | 0.871369 | − | 1.31183i | |||||
−2036.86 | −0.00352642 | |||||||||
−598122. | + | 823245.i | −1.03281 | + | 1.42154i | −0.129995 | + | 0.991515i | ||
−0.902816 | + | 0.430027i | ||||||||
−98431.7 | + | 302942.i | −0.169522 | + | 0.521734i | |||||
148422. | + | 456795.i | 0.254946 | + | 0.784644i | |||||
202017. | − | 146774.i | 0.346100 | − | 0.251457i | |||||
378557. | + | 521039.i | 0.646857 | + | 0.890322i | |||||
405309. | − | 131693.i | 0.690762 | − | 0.224442i | |||||
−124673. | − | 40508.8i | −0.211925 | − | 0.0688587i | |||||
−52480.5 | − | 38129.3i | −0.0889765 | − | 0.0646452i | |||||
− | 1.10968e6i | − | 1.87648i | −0.345983 | − | 0.938241i | ||||
0.345983 | − | 0.938241i | ||||||||
12741.2 | + | 303198.i | 0.0214896 | + | 0.511381i | |||||
−1.17938e6 | −1.98402 | |||||||||
−64672.6 | + | 89014.2i | −0.108514 | + | 0.149357i | |||||
109830. | − | 338023.i | 0.183807 | − | 0.565701i | −0.816118 | − | 0.577885i | ||
0.999926 | + | 0.0121836i | ||||||||
382151. | + | 1.17614e6i | 0.637901 | + | 1.96326i | |||||
−167776. | + | 121896.i | −0.279335 | + | 0.202949i | |||||
−1299.03 | − | 1787.95i | −0.00215722 | − | 0.00296916i | |||||
−480045. | + | 155976.i | −0.795133 | + | 0.258354i | |||||
242330. | + | 78737.9i | 0.400358 | + | 0.130084i | |||||
−19670.0 | − | 14291.1i | −0.0324137 | − | 0.0235500i | |||||
263121.i | 0.432480i | |||||||||
−239820. | + | 89218.3i | −0.393173 | + | 0.146269i | |||||
−454230. | −0.742783 | |||||||||
1.14139e6 | − | 1.57099e6i | 1.86170 | − | 2.56242i | |||||
−76912.4 | + | 236712.i | −0.125131 | + | 0.385113i | |||||
27823.2 | + | 85630.9i | 0.0451510 | + | 0.138960i | |||||
154815. | − | 112480.i | 0.250592 | − | 0.182066i | |||||
70476.9 | + | 97003.1i | 0.113788 | + | 0.156616i | 0.862112 | − | 0.506717i | ||
−0.748324 | + | 0.663333i | ||||||||
51770.2 | − | 16821.1i | 0.0833733 | − | 0.0270896i | |||||
−447313. | − | 145341.i | −0.718551 | − | 0.233471i | |||||
−99571.3 | − | 72342.8i | −0.159544 | − | 0.115915i | |||||
579666.i | 0.926456i | |||||||||
−162117. | − | 435772.i | −0.258450 | − | 0.694718i | |||||
−106931. | −0.170042 | |||||||||
445360. | − | 612985.i | 0.706432 | − | 0.972320i | |||||
179096. | − | 551201.i | 0.283369 | − | 0.872119i | |||||
−105382. | − | 324331.i | −0.166318 | − | 0.511874i | |||||
743265. | − | 540014.i | 1.17011 | − | 0.850135i | 0.179089 | − | 0.983833i | ||
0.991022 | + | 0.133698i | ||||||||
−16812.8 | − | 23140.8i | −0.0264018 | − | 0.0363390i | |||||
−736379. | + | 239264.i | −1.15347 | + | 0.374786i | |||||
−21520.0 | − | 6992.26i | −0.0336249 | − | 0.0109254i | |||||
81484.6 | + | 59202.0i | 0.127002 | + | 0.0922724i | |||||
632660.i | 0.983607i | |||||||||
130366. | − | 5478.33i | 0.202178 | − | 0.00849605i | |||||
251572. | 0.389180 | |||||||||
246750. | − | 339622.i | 0.380773 | − | 0.524088i | |||||
−269351. | + | 828978.i | −0.414619 | + | 1.27607i | |||||
−464878. | − | 1.43075e6i | −0.713826 | − | 2.19693i | |||||
119877. | − | 87095.6i | 0.183617 | − | 0.133405i | |||||
−236470. | − | 325474.i | −0.361310 | − | 0.497300i | 0.589203 | − | 0.807985i | ||
−0.950513 | + | 0.310684i | ||||||||
256304. | − | 83278.3i | 0.390648 | − | 0.126929i | |||||
−10379.5 | − | 3372.50i | −0.0157810 | − | 0.00512755i | 0.301116 | − | 0.953588i | ||
−0.316897 | + | 0.948460i | ||||||||
−708600. | − | 514828.i | −1.07471 | − | 0.780819i | |||||
459619.i | 0.695371i | |||||||||
−114561. | − | 76096.0i | −0.172897 | − | 0.114845i | |||||
338079. | 0.508982 | |||||||||
−202092. | + | 278156.i | −0.303508 | + | 0.417743i | |||||
−6405.82 | + | 19715.1i | −0.00959689 | + | 0.0295362i | |||||
32409.1 | + | 99744.8i | 0.0484351 | + | 0.149068i | |||||
−2.02394e6 | + | 1.47048e6i | −3.01738 | + | 2.19226i | |||||
−158759. | − | 218513.i | −0.236108 | − | 0.324975i | |||||
115263. | − | 37451.3i | 0.171004 | − | 0.0555624i | −0.222264 | − | 0.974987i | ||
0.393267 | + | 0.919424i | ||||||||
224129. | + | 72823.9i | 0.331707 | + | 0.107778i | |||||
523952. | + | 380674.i | 0.773557 | + | 0.562022i | 0.903038 | − | 0.429560i | ||
−0.129482 | + | 0.991582i | ||||||||
339757.i | 0.500396i | |||||||||
−148810. | − | 187708.i | −0.218637 | − | 0.275788i | |||||
158309. | 0.232031 | |||||||||
31437.7 | − | 43270.3i | 0.0459663 | − | 0.0632672i | −0.785415 | − | 0.618969i | ||
0.831381 | + | 0.555702i | ||||||||
−198755. | + | 611705.i | −0.289906 | + | 0.892239i | |||||
13213.4 | + | 40666.8i | 0.0192268 | + | 0.0591740i | 0.960210 | − | 0.279280i | ||
−0.940983 | + | 0.338454i | ||||||||
−232486. | + | 168911.i | −0.337475 | + | 0.245190i | |||||
583665. | + | 803347.i | 0.845205 | + | 1.16332i | |||||
−90449.6 | + | 29388.8i | −0.130665 | + | 0.0424557i | |||||
1.25462e6 | + | 407650.i | 1.80810 | + | 0.587486i | |||||
−304282. | − | 221074.i | −0.437466 | − | 0.317838i | |||||
− | 364741.i | − | 0.523132i | |||||||
2095.07 | − | 7506.88i | 0.00299768 | − | 0.0107411i | |||||
2.33371e6 | 3.33117 | |||||||||
423897. | − | 583444.i | 0.603632 | − | 0.830829i | |||||
114652. | − | 352863.i | 0.162876 | − | 0.501282i | −0.835997 | − | 0.548734i | ||
0.998874 | + | 0.0474520i | ||||||||
−98192.1 | − | 302204.i | −0.139161 | − | 0.428294i | |||||
969557. | − | 704425.i | 1.37082 | − | 0.995962i | |||||
−566732. | − | 780040.i | −0.799381 | − | 1.10025i | |||||
300790. | − | 97732.7i | 0.423261 | − | 0.137526i | |||||
−445992. | − | 144912.i | −0.626098 | − | 0.203431i | |||||
53748.4 | + | 39050.5i | 0.0752753 | + | 0.0546907i | |||||
1.09636e6i | 1.53184i | |||||||||
−1.13055e6 | − | 264905.i | −1.57587 | − | 0.369252i | |||||
209483. | 0.291311 | |||||||||
−549223. | + | 755941.i | −0.761963 | + | 1.04875i | |||||
−37060.3 | + | 114060.i | −0.0512945 | + | 0.157868i | |||||
58791.3 | + | 180941.i | 0.0811809 | + | 0.249849i | |||||
216758. | − | 157484.i | 0.298604 | − | 0.216949i | |||||
520557. | + | 716485.i | 0.715434 | + | 0.984711i | 0.999663 | + | 0.0259545i | ||
−0.284229 | + | 0.958757i | ||||||||
122814. | − | 39904.7i | 0.168396 | − | 0.0547152i | |||||
14538.5 | + | 4723.84i | 0.0198878 | + | 0.00646193i | |||||
157618. | + | 114516.i | 0.215109 | + | 0.156286i | |||||
− | 534294.i | − | 0.727476i | −0.931501 | − | 0.363738i | ||||
0.931501 | − | 0.363738i | ||||||||
−969736. | − | 270640.i | −1.31728 | − | 0.367636i | |||||
724471. | 0.981827 | 0.490914 | − | 0.871208i | ||||||
0.490914 | + | 0.871208i | ||||||||
−135358. | + | 186305.i | −0.183016 | + | 0.251899i | |||||
1.17209e6 | − | 3.60733e6i | 1.58109 | − | 4.86608i | |||||
77202.5 | + | 237605.i | 0.103900 | + | 0.319772i | |||||
−201547. | + | 146432.i | −0.270616 | + | 0.196614i | −0.714814 | − | 0.699314i | ||
0.444198 | + | 0.895929i | ||||||||
149668. | + | 206001.i | 0.200494 | + | 0.275957i | |||||
−228446. | + | 74226.4i | −0.305317 | + | 0.0992034i | |||||
−765320. | − | 248668.i | −1.02049 | − | 0.331576i | |||||
404158. | + | 293638.i | 0.537667 | + | 0.390638i | |||||
− | 1.05263e6i | − | 1.39713i | |||||||
369037. | − | 292561.i | 0.488687 | − | 0.387416i | |||||
691369. | 0.913422 | |||||||||
216791. | − | 298387.i | 0.285762 | − | 0.393318i | |||||
42345.6 | − | 130326.i | 0.0556898 | − | 0.171396i | |||||
5125.46 | + | 15774.5i | 0.00672518 | + | 0.0206980i | |||||
−8722.35 | + | 6337.16i | −0.0114185 | + | 0.00829605i | |||||
−65149.0 | − | 89669.9i | −0.0850926 | − | 0.117120i | |||||
−129939. | + | 42219.7i | −0.169329 | + | 0.0550182i | |||||
261333. | + | 84912.3i | 0.339778 | + | 0.110401i | 0.473936 | − | 0.880559i | ||
−0.134158 | + | 0.990960i | ||||||||
−334060. | − | 242708.i | −0.433346 | − | 0.314844i | |||||
2.32150e6i | 3.00462i | |||||||||
47905.0 | − | 72120.1i | 0.0618608 | − | 0.0931302i | |||||
−264167. | −0.340351 | −0.170175 | − | 0.985414i | ||||||
−0.170175 | + | 0.985414i | ||||||||
1.09795e6 | − | 1.51120e6i | 1.41139 | − | 1.94261i | |||||
−79926.4 | + | 245988.i | −0.102511 | + | 0.315495i | −0.989138 | − | 0.146989i | ||
0.886627 | + | 0.462484i | ||||||||
155766. | + | 479400.i | 0.199328 | + | 0.613470i | |||||
−101095. | + | 73449.9i | −0.129075 | + | 0.0937787i | |||||
6142.42 | + | 8454.32i | 0.00782478 | + | 0.0107699i | |||||
−300034. | + | 97487.1i | −0.381350 | + | 0.123908i | −0.493418 | − | 0.869792i | ||
0.112068 | + | 0.993701i | ||||||||
136960. | + | 44500.9i | 0.173687 | + | 0.0564342i | |||||
−456257. | − | 331490.i | −0.577305 | − | 0.419437i | |||||
18755.6i | 0.0236784i | |||||||||
43294.8 | + | 1.03027e6i | 0.0545356 | + | 1.29777i | |||||
147522. | 0.185407 | |||||||||
−10802.2 | + | 14868.0i | −0.0135460 | + | 0.0186444i | |||||
228410. | − | 702974.i | 0.285786 | − | 0.879558i | |||||
−69582.1 | − | 214152.i | −0.0868664 | − | 0.267347i | |||||
92917.3 | − | 67508.4i | 0.115739 | − | 0.0840895i | |||||
818632. | + | 1.12675e6i | 1.01743 | + | 1.40037i | |||||
447877. | − | 145524.i | 0.555400 | − | 0.180460i | |||||
2.17820e6 | + | 707739.i | 2.69512 | + | 0.875697i | |||||
137386. | + | 99817.1i | 0.169613 | + | 0.123231i | |||||
− | 1.11030e6i | − | 1.36770i | |||||||
968630. | − | 360352.i | 1.19054 | − | 0.442908i | |||||
−3.23389e6 | −3.96598 | |||||||||
97209.1 | − | 133797.i | 0.118952 | − | 0.163723i | |||||
126471. | − | 389237.i | 0.154416 | − | 0.475244i | |||||
−89333.4 | − | 274940.i | −0.108832 | − | 0.334951i | |||||
83861.2 | − | 60928.7i | 0.101940 | − | 0.0740641i | −0.535647 | − | 0.844442i | ||
0.637588 | + | 0.770378i | ||||||||
−30193.6 | − | 41557.9i | −0.0366221 | − | 0.0504060i | |||||
−1.05763e6 | + | 343646.i | −1.27999 | + | 0.415895i | |||||
−443058. | − | 143958.i | −0.535030 | − | 0.173842i | |||||
−1.10533e6 | − | 803071.i | −1.33185 | − | 0.967647i | −0.999702 | − | 0.0244211i | ||
−0.332151 | − | 0.943226i | ||||||||
8160.77i | 0.00981164i | |||||||||
−383395. | − | 1.03057e6i | −0.459944 | − | 1.23634i | |||||
−436632. | −0.522664 | |||||||||
−59913.7 | + | 82464.1i | −0.0715622 | + | 0.0984969i | |||||
250806. | − | 771902.i | 0.298915 | − | 0.919965i | |||||
104698. | + | 322226.i | 0.124508 | + | 0.383197i | |||||
1.09184e6 | − | 793270.i | 1.29561 | − | 0.941316i | |||||
555794. | + | 764984.i | 0.658086 | + | 0.905778i | 0.999416 | − | 0.0341659i | ||
−0.341330 | + | 0.939943i | ||||||||
−113908. | + | 37011.1i | −0.134580 | + | 0.0437277i | |||||
1.39099e6 | + | 451959.i | 1.63985 | + | 0.532819i | |||||
−121294. | − | 88125.0i | −0.142684 | − | 0.103666i | |||||
− | 392806.i | − | 0.461078i | |||||||
1.21478e6 | − | 51048.2i | 1.42283 | − | 0.0597911i | |||||
50232.1 | 0.0587080 | |||||||||
−293664. | + | 404194.i | −0.342475 | + | 0.471376i | |||||
787956. | − | 2.42508e6i | 0.916943 | − | 2.82206i | |||||
77221.3 | + | 237663.i | 0.0896687 | + | 0.275972i | |||||
−591734. | + | 429920.i | −0.685639 | + | 0.498146i | −0.875223 | − | 0.483719i | ||
0.189585 | + | 0.981864i | ||||||||
488383. | + | 672201.i | 0.564670 | + | 0.777201i | |||||
29779.1 | − | 9675.82i | 0.0343568 | − | 0.0111632i | |||||
453583. | + | 147378.i | 0.522185 | + | 0.169668i | |||||
1.66375e6 | + | 1.20879e6i | 1.91128 | + | 1.38863i | |||||
610112.i | 0.699384i | |||||||||
−382250. | − | 253906.i | −0.437244 | − | 0.290435i | |||||
713759. | 0.814704 | |||||||||
−765154. | + | 1.05314e6i | −0.871505 | + | 1.19952i | 0.107197 | + | 0.994238i | ||
−0.978702 | + | 0.205286i | ||||||||
−137640. | + | 423612.i | −0.156437 | + | 0.481462i | |||||
−296361. | − | 912105.i | −0.336116 | − | 1.03446i | |||||
−165168. | + | 120002.i | −0.186926 | + | 0.135810i | |||||
−268909. | − | 370121.i | −0.303687 | − | 0.417989i | 0.629713 | − | 0.776828i | ||
−0.933399 | + | 0.358839i | ||||||||
343084. | − | 111475.i | 0.386633 | − | 0.125625i | |||||
−1.35969e6 | − | 441791.i | −1.52904 | − | 0.496814i | |||||
−36540.5 | − | 26548.2i | −0.0410044 | − | 0.0297915i | |||||
1.24728e6i | 1.39670i | |||||||||
−547403. | − | 690494.i | −0.611680 | − | 0.771574i | |||||
1.27039e6 | 1.41656 | 0.708282 | − | 0.705930i | ||||||
0.708282 | + | 0.705930i | ||||||||
−289845. | + | 398937.i | −0.322514 | + | 0.443903i | |||||
−61897.7 | + | 190502.i | −0.0687294 | + | 0.211527i | |||||
879.647 | + | 2707.28i | 0.000974678 | + | 0.00299975i | |||||
788584. | − | 572940.i | 0.871940 | − | 0.633502i | |||||
−357807. | − | 492479.i | −0.394798 | − | 0.543393i | |||||
−409152. | + | 132942.i | −0.450505 | + | 0.146378i | −0.525477 | − | 0.850808i | ||
0.0749724 | + | 0.997186i | ||||||||
−1.49522e6 | − | 485828.i | −1.64289 | − | 0.533809i | |||||
−282328. | − | 205123.i | −0.309562 | − | 0.224910i | |||||
834296.i | 0.912860i | |||||||||
−711126. | + | 2.54805e6i | −0.776467 | + | 2.78217i | |||||
−929883. | −1.01321 | |||||||||
−245250. | + | 337558.i | −0.266669 | + | 0.367038i | |||||
−28014.8 | + | 86220.7i | −0.0303980 | + | 0.0935554i | |||||
565177. | + | 1.73944e6i | 0.611981 | + | 1.88348i | |||||
170806. | − | 124098.i | 0.184567 | − | 0.134096i | |||||
−859447. | − | 1.18293e6i | −0.926758 | − | 1.27557i | |||||
−390255. | + | 126801.i | −0.419946 | + | 0.136449i | |||||
146242. | + | 47517.0i | 0.157043 | + | 0.0510264i | |||||
−1.36071e6 | − | 988616.i | −1.45818 | − | 1.05943i | |||||
266832.i | 0.285354i | 0.989769 | + | 0.142677i | ||||||
−0.989769 | + | 0.142677i | ||||||||
216526. | + | 250736.i | 0.231078 | + | 0.267587i | |||||
43253.6 | 0.0460654 | |||||||||
−1815.44 | + | 2498.74i | −0.00192947 | + | 0.00265569i | |||||
−426622. | + | 1.31301e6i | −0.452486 | + | 1.39261i | 0.421576 | + | 0.906793i | ||
−0.874062 | + | 0.485815i | ||||||||
−51986.4 | − | 159998.i | −0.0550246 | − | 0.169348i | |||||
538736. | − | 391414.i | 0.569050 | − | 0.413439i | |||||
−376449. | − | 518137.i | −0.396815 | − | 0.546169i | |||||
349725. | − | 113633.i | 0.367890 | − | 0.119535i | |||||
−35039.5 | − | 11385.0i | −0.0367840 | − | 0.0119518i | |||||
−77747.2 | − | 56486.7i | −0.0814509 | − | 0.0591775i | 0.546315 | − | 0.837580i | ||
−0.627765 | + | 0.778403i | ||||||||
− | 1.35453e6i | − | 1.41615i | |||||||
−69124.2 | − | 19291.6i | −0.0721215 | − | 0.0201281i | |||||
347840. | 0.362182 | |||||||||
−604500. | + | 832022.i | −0.628142 | + | 0.864564i | |||||
252705. | − | 777745.i | 0.262054 | − | 0.806519i | |||||
21031.5 | + | 64728.4i | 0.0217653 | + | 0.0669866i | 0.961349 | − | 0.275332i | ||
−0.939584 | + | 0.342319i | ||||||||
−875484. | + | 636076.i | −0.904186 | + | 0.656930i | |||||
−44715.4 | − | 61545.5i | −0.0460876 | − | 0.0634342i | |||||
1.25966e6 | − | 409287.i | 1.29568 | − | 0.420992i | |||||
−2.72668e6 | − | 885952.i | −2.79898 | − | 0.909444i | |||||
9679.41 | + | 7032.50i | 0.00991597 | + | 0.00720437i | |||||
1.21894e6i | 1.24620i | |||||||||
−509190. | + | 403670.i | −0.519529 | + | 0.411867i | |||||
336596. | 0.342738 | 0.171369 | − | 0.985207i | ||||||
0.171369 | + | 0.985207i | ||||||||
−176525. | + | 242965.i | −0.179383 | + | 0.246900i | |||||
788213. | − | 2.42587e6i | 0.799365 | − | 2.46019i | |||||
146588. | + | 451152.i | 0.148363 | + | 0.456615i | |||||
−385572. | + | 280134.i | −0.389457 | + | 0.282957i | |||||
676751. | + | 931468.i | 0.682198 | + | 0.938965i | |||||
920987. | − | 299247.i | 0.926538 | − | 0.301050i | 0.193392 | − | 0.981122i | ||
0.733146 | + | 0.680071i | ||||||||
157966. | + | 51326.1i | 0.158599 | + | 0.0515320i | |||||
−457314. | − | 332258.i | −0.458230 | − | 0.332924i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 110.5.h.a.51.4 | yes | 32 | |
11.8 | odd | 10 | inner | 110.5.h.a.41.4 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
110.5.h.a.41.4 | ✓ | 32 | 11.8 | odd | 10 | inner | |
110.5.h.a.51.4 | yes | 32 | 1.1 | even | 1 | trivial |