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 | 109.1 | ||
Root | of defining polynomial | ||
Character | 162.109 | ||
Dual form | 162.4.c.i.55.1 |
-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 | |||||
−5.59808 | + | 9.69615i | −0.500707 | + | 0.867250i | 0.499293 | + | 0.866433i | ||
−1.00000 | 0.000816748i | |||||||||
0 | 0 | |||||||||
−9.19615 | − | 15.9282i | −0.496546 | − | 0.860042i | 0.503447 | − | 0.864026i | ||
−0.999992 | + | 0.00398426i | ||||||||
8.00000 | 0.353553 | |||||||||
0 | 0 | |||||||||
22.3923 | 0.708107 | |||||||||
11.7846 | + | 20.4115i | 0.323018 | + | 0.559483i | 0.981109 | − | 0.193455i | ||
−0.658092 | + | 0.752938i | ||||||||
0 | 0 | |||||||||
33.8731 | − | 58.6699i | 0.722669 | − | 1.25170i | −0.237257 | − | 0.971447i | ||
0.959926 | − | 0.280253i | ||||||||
−18.3923 | + | 31.8564i | −0.351111 | + | 0.608142i | |||||
0 | 0 | |||||||||
−8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | |||||
117.158 | 1.67147 | 0.835733 | − | 0.549137i | ||||||
0.835733 | + | 0.549137i | ||||||||
0 | 0 | |||||||||
110.315 | 1.33200 | 0.666002 | − | 0.745950i | ||||||
0.666002 | + | 0.745950i | ||||||||
−22.3923 | − | 38.7846i | −0.250354 | − | 0.433625i | |||||
0 | 0 | |||||||||
23.5692 | − | 40.8231i | 0.228408 | − | 0.395614i | |||||
−34.6077 | + | 59.9423i | −0.313748 | + | 0.543427i | −0.979171 | − | 0.203039i | ||
0.665423 | + | 0.746467i | ||||||||
0 | 0 | |||||||||
−0.176915 | − | 0.306425i | −0.00141532 | − | 0.00245140i | |||||
−135.492 | −1.02201 | |||||||||
0 | 0 | |||||||||
73.5692 | 0.496546 | |||||||||
−99.1865 | − | 171.796i | −0.635120 | − | 1.10006i | −0.986490 | − | 0.163823i | ||
0.351370 | − | 0.936237i | ||||||||
0 | 0 | |||||||||
155.531 | − | 269.387i | 0.901101 | − | 1.56075i | 0.0750350 | − | 0.997181i | ||
0.826066 | − | 0.563573i | ||||||||
−16.0000 | + | 27.7128i | −0.0883883 | + | 0.153093i | |||||
0 | 0 | |||||||||
−117.158 | − | 202.923i | −0.590952 | − | 1.02356i | |||||
205.923 | 0.994496 | |||||||||
0 | 0 | |||||||||
−206.608 | −0.918003 | −0.459001 | − | 0.888436i | ||||||
−0.459001 | + | 0.888436i | ||||||||
−110.315 | − | 191.072i | −0.470935 | − | 0.815683i | |||||
0 | 0 | |||||||||
−44.7846 | + | 77.5692i | −0.177027 | + | 0.306619i | |||||
66.3154 | − | 114.862i | 0.252603 | − | 0.437521i | −0.711639 | − | 0.702546i | ||
0.964242 | + | 0.265025i | ||||||||
0 | 0 | |||||||||
167.588 | + | 290.272i | 0.594349 | + | 1.02944i | 0.993638 | + | 0.112618i | ||
−0.399290 | + | 0.916825i | ||||||||
−94.2769 | −0.323018 | |||||||||
0 | 0 | |||||||||
138.431 | 0.443707 | |||||||||
189.531 | + | 328.277i | 0.588211 | + | 1.01881i | 0.994467 | + | 0.105051i | ||
−0.406256 | + | 0.913759i | ||||||||
0 | 0 | |||||||||
2.36156 | − | 4.09034i | 0.00688502 | − | 0.0119252i | |||||
−0.353829 | + | 0.612850i | −0.00100078 | + | 0.00173340i | |||||
0 | 0 | |||||||||
135.492 | + | 234.679i | 0.361335 | + | 0.625850i | |||||
190.908 | 0.494777 | 0.247388 | − | 0.968916i | ||||||
0.247388 | + | 0.968916i | ||||||||
0 | 0 | |||||||||
−263.885 | −0.646949 | |||||||||
−73.5692 | − | 127.426i | −0.175555 | − | 0.304071i | |||||
0 | 0 | |||||||||
−198.373 | + | 343.592i | −0.449098 | + | 0.777860i | |||||
168.862 | − | 292.477i | 0.372609 | − | 0.645377i | −0.617357 | − | 0.786683i | ||
0.989966 | + | 0.141306i | ||||||||
0 | 0 | |||||||||
−138.735 | − | 240.295i | −0.291199 | − | 0.504372i | 0.682894 | − | 0.730517i | ||
−0.974094 | + | 0.226145i | ||||||||
−622.123 | −1.27435 | |||||||||
0 | 0 | |||||||||
64.0000 | 0.125000 | |||||||||
379.248 | + | 656.877i | 0.723691 | + | 1.25347i | |||||
0 | 0 | |||||||||
−332.535 | + | 575.967i | −0.606352 | + | 1.05023i | 0.385485 | + | 0.922714i | ||
−0.991836 | + | 0.127518i | ||||||||
−234.315 | + | 405.846i | −0.417866 | + | 0.723766i | |||||
0 | 0 | |||||||||
−205.923 | − | 356.669i | −0.351607 | − | 0.609002i | |||||
−528.431 | −0.883284 | −0.441642 | − | 0.897191i | ||||||
−0.441642 | + | 0.897191i | ||||||||
0 | 0 | |||||||||
−73.8306 | −0.118373 | −0.0591865 | − | 0.998247i | ||||||
−0.0591865 | + | 0.998247i | ||||||||
206.608 | + | 357.855i | 0.324563 | + | 0.562159i | |||||
0 | 0 | |||||||||
−220.631 | + | 382.144i | −0.333001 | + | 0.576775i | |||||
216.746 | − | 375.415i | 0.320786 | − | 0.555617i | |||||
0 | 0 | |||||||||
239.904 | + | 415.526i | 0.341662 | + | 0.591776i | 0.984741 | − | 0.174024i | ||
−0.643080 | + | 0.765799i | ||||||||
179.138 | 0.250354 | |||||||||
0 | 0 | |||||||||
−265.261 | −0.357234 | |||||||||
89.8846 | + | 155.685i | 0.118869 | + | 0.205887i | 0.919320 | − | 0.393512i | ||
−0.800451 | + | 0.599398i | ||||||||
0 | 0 | |||||||||
−655.858 | + | 1135.98i | −0.836915 | + | 1.44958i | |||||
335.177 | − | 580.543i | 0.420268 | − | 0.727926i | |||||
0 | 0 | |||||||||
94.2769 | + | 163.292i | 0.114204 | + | 0.197807i | |||||
846.458 | 1.00814 | 0.504069 | − | 0.863663i | ||||||
0.504069 | + | 0.863663i | ||||||||
0 | 0 | |||||||||
−1246.01 | −1.43535 | |||||||||
−138.431 | − | 239.769i | −0.156874 | − | 0.271714i | |||||
0 | 0 | |||||||||
379.061 | − | 656.554i | 0.415928 | − | 0.720408i | |||||
−617.554 | + | 1069.63i | −0.666944 | + | 1.15518i | |||||
0 | 0 | |||||||||
336.492 | + | 582.822i | 0.352223 | + | 0.610068i | 0.986639 | − | 0.162924i | ||
−0.634416 | + | 0.772992i | ||||||||
−9.44624 | −0.00973689 | |||||||||
0 | 0 | |||||||||
1.41532 | 0.00141532 | |||||||||
−103.261 | − | 178.854i | −0.101732 | − | 0.176204i | 0.810667 | − | 0.585508i | ||
−0.912398 | + | 0.409304i | ||||||||
0 | 0 | |||||||||
685.885 | − | 1187.99i | 0.656138 | − | 1.13646i | −0.325469 | − | 0.945553i | ||
0.981607 | − | 0.190912i | ||||||||
270.985 | − | 469.359i | 0.255502 | − | 0.442543i | |||||
0 | 0 | |||||||||
−190.908 | − | 330.662i | −0.174930 | − | 0.302988i | |||||
−1267.00 | −1.14472 | −0.572362 | − | 0.820001i | ||||||
−0.572362 | + | 0.820001i | ||||||||
0 | 0 | |||||||||
1725.13 | 1.51594 | 0.757970 | − | 0.652289i | ||||||
0.757970 | + | 0.652289i | ||||||||
263.885 | + | 457.061i | 0.228731 | + | 0.396174i | |||||
0 | 0 | |||||||||
−147.138 | + | 254.851i | −0.124136 | + | 0.215011i | |||||
870.098 | − | 1507.05i | 0.724353 | − | 1.25462i | −0.234886 | − | 0.972023i | ||
0.959240 | − | 0.282594i | ||||||||
0 | 0 | |||||||||
−387.473 | − | 671.123i | −0.314192 | − | 0.544196i | |||||
793.492 | 0.635120 | |||||||||
0 | 0 | |||||||||
−675.446 | −0.526948 | |||||||||
−1077.40 | − | 1866.11i | −0.829959 | − | 1.43753i | |||||
0 | 0 | |||||||||
387.746 | − | 671.596i | 0.291319 | − | 0.504580i | |||||
−277.469 | + | 480.591i | −0.205909 | + | 0.356645i | |||||
0 | 0 | |||||||||
622.123 | + | 1077.55i | 0.450551 | + | 0.780377i | |||||
−1395.56 | −0.998580 | |||||||||
0 | 0 | |||||||||
492.131 | 0.343855 | 0.171927 | − | 0.985110i | ||||||
0.171927 | + | 0.985110i | ||||||||
−64.0000 | − | 110.851i | −0.0441942 | − | 0.0765466i | |||||
0 | 0 | |||||||||
758.496 | − | 1313.75i | 0.511727 | − | 0.886337i | |||||
−959.638 | + | 1662.14i | −0.640030 | + | 1.10857i | 0.345395 | + | 0.938457i | ||
−0.985425 | + | 0.170108i | ||||||||
0 | 0 | |||||||||
−1014.48 | − | 1757.13i | −0.661401 | − | 1.14558i | |||||
1330.14 | 0.857511 | |||||||||
0 | 0 | |||||||||
937.261 | 0.590952 | |||||||||
−1311.43 | − | 2271.46i | −0.817832 | − | 1.41653i | −0.907277 | − | 0.420534i | ||
0.0894453 | − | 0.995992i | ||||||||
0 | 0 | |||||||||
314.284 | − | 544.357i | 0.191779 | − | 0.332171i | −0.754061 | − | 0.656804i | ||
0.945840 | + | 0.324634i | ||||||||
−411.846 | + | 713.338i | −0.248624 | + | 0.430629i | |||||
0 | 0 | |||||||||
528.431 | + | 915.269i | 0.312288 | + | 0.540899i | |||||
1596.72 | 0.933739 | |||||||||
0 | 0 | |||||||||
2221.02 | 1.27204 | |||||||||
73.8306 | + | 127.878i | 0.0418511 | + | 0.0724883i | |||||
0 | 0 | |||||||||
413.215 | − | 715.710i | 0.229501 | − | 0.397507i | |||||
−284.156 | + | 492.173i | −0.156235 | + | 0.270606i | −0.933508 | − | 0.358557i | ||
0.777273 | + | 0.629163i | ||||||||
0 | 0 | |||||||||
−178.715 | − | 309.544i | −0.0963155 | − | 0.166823i | 0.813841 | − | 0.581087i | ||
−0.910157 | + | 0.414264i | ||||||||
882.523 | 0.470935 | |||||||||
0 | 0 | |||||||||
−866.985 | −0.453660 | |||||||||
1741.35 | + | 3016.10i | 0.902376 | + | 1.56296i | |||||
0 | 0 | |||||||||
363.627 | − | 629.820i | 0.184844 | − | 0.320160i | −0.758680 | − | 0.651464i | ||
0.943524 | + | 0.331304i | ||||||||
479.808 | − | 831.051i | 0.241591 | − | 0.418449i | |||||
0 | 0 | |||||||||
−179.138 | − | 310.277i | −0.0885134 | − | 0.153310i | |||||
1273.03 | 0.623161 | |||||||||
0 | 0 | |||||||||
−396.554 | −0.190555 | −0.0952776 | − | 0.995451i | ||||||
−0.0952776 | + | 0.995451i | ||||||||
265.261 | + | 459.446i | 0.126301 | + | 0.218761i | |||||
0 | 0 | |||||||||
179.769 | − | 311.369i | 0.0840530 | − | 0.145584i | |||||
−1589.26 | + | 2752.68i | −0.736411 | + | 1.27550i | 0.217690 | + | 0.976018i | ||
−0.954101 | + | 0.299484i | ||||||||
0 | 0 | |||||||||
−1196.27 | − | 2072.00i | −0.544501 | − | 0.943104i | |||||
2623.43 | 1.18358 | |||||||||
0 | 0 | |||||||||
−1340.71 | −0.594349 | |||||||||
−1076.32 | − | 1864.25i | −0.473014 | − | 0.819285i | 0.526509 | − | 0.850170i | ||
−0.999523 | + | 0.0308850i | ||||||||
0 | 0 | |||||||||
−3.25387 | + | 5.63586i | −0.00140554 | + | 0.00243446i | |||||
188.554 | − | 326.585i | 0.0807544 | − | 0.139871i | |||||
0 | 0 | |||||||||
−846.458 | − | 1466.11i | −0.356431 | − | 0.617356i | |||||
−4490.29 | −1.87497 | −0.937487 | − | 0.348022i | ||||||
−0.937487 | + | 0.348022i | ||||||||
0 | 0 | |||||||||
1407.32 | 0.577931 | 0.288966 | − | 0.957340i | ||||||
0.288966 | + | 0.957340i | ||||||||
1246.01 | + | 2158.15i | 0.507474 | + | 0.878970i | |||||
0 | 0 | |||||||||
−276.862 | + | 479.538i | −0.110927 | + | 0.192131i | |||||
1156.61 | − | 2003.30i | 0.459650 | − | 0.796138i | |||||
0 | 0 | |||||||||
1380.66 | + | 2391.37i | 0.539913 | + | 0.935156i | |||||
−1516.25 | −0.588211 | |||||||||
0 | 0 | |||||||||
2470.22 | 0.943201 | |||||||||
−386.138 | − | 668.811i | −0.146283 | − | 0.253369i | 0.783568 | − | 0.621306i | ||
−0.929851 | + | 0.367937i | ||||||||
0 | 0 | |||||||||
−1826.34 | + | 3163.31i | −0.681154 | + | 1.17979i | 0.293475 | + | 0.955967i | ||
−0.974629 | + | 0.223826i | ||||||||
672.985 | − | 1165.64i | 0.249059 | − | 0.431383i | |||||
0 | 0 | |||||||||
9.44624 | + | 16.3614i | 0.00344251 | + | 0.00596260i | |||||
2647.40 | 0.957460 | 0.478730 | − | 0.877962i | ||||||
0.478730 | + | 0.877962i | ||||||||
0 | 0 | |||||||||
1470.22 | 0.523723 | 0.261861 | − | 0.965106i | ||||||
0.261861 | + | 0.965106i | ||||||||
−1.41532 | − | 2.45140i | −0.000500390 | − | 0.000866701i | |||||
0 | 0 | |||||||||
−206.523 | + | 357.708i | −0.0719351 | + | 0.124595i | |||||
−1824.27 | + | 3159.73i | −0.630732 | + | 1.09246i | |||||
0 | 0 | |||||||||
742.477 | + | 1286.01i | 0.252960 | + | 0.438140i | |||||
−2743.54 | −0.927919 | |||||||||
0 | 0 | |||||||||
−1083.94 | −0.361335 | |||||||||
1300.02 | + | 2251.71i | 0.430261 | + | 0.745233i | |||||
0 | 0 | |||||||||
−768.003 | + | 1330.22i | −0.250576 | + | 0.434010i | −0.963685 | − | 0.267043i | ||
0.713109 | + | 0.701054i | ||||||||
−381.815 | + | 661.323i | −0.123694 | + | 0.214245i | |||||
0 | 0 | |||||||||
1267.00 | + | 2194.51i | 0.404721 | + | 0.700997i | |||||
−3752.69 | −1.19038 | |||||||||
0 | 0 | |||||||||
−5721.14 | −1.78975 | |||||||||
−1725.13 | − | 2988.01i | −0.535966 | − | 0.928320i | |||||
0 | 0 | |||||||||
527.769 | − | 914.123i | 0.161737 | − | 0.280137i | |||||
3968.49 | − | 6873.63i | 1.20792 | − | 2.09217i | |||||
0 | 0 | |||||||||
828.765 | + | 1435.46i | 0.248871 | + | 0.431057i | 0.963213 | − | 0.268740i | ||
−0.714342 | + | 0.699797i | ||||||||
588.554 | 0.175555 | |||||||||
0 | 0 | |||||||||
−3480.39 | −1.02439 | |||||||||
757.131 | + | 1311.39i | 0.221377 | + | 0.383436i | 0.955226 | − | 0.295876i | ||
−0.733850 | + | 0.679312i | ||||||||
0 | 0 | |||||||||
−2149.52 | + | 3723.08i | −0.620280 | + | 1.07436i | 0.369153 | + | 0.929369i | ||
−0.989433 | + | 0.144988i | ||||||||
−774.946 | + | 1342.25i | −0.222167 | + | 0.384805i | |||||
0 | 0 | |||||||||
−793.492 | − | 1374.37i | −0.224549 | − | 0.388930i | |||||
1336.78 | 0.375860 | 0.187930 | − | 0.982182i | ||||||
0.187930 | + | 0.982182i | ||||||||
0 | 0 | |||||||||
−4244.03 | −1.17809 | |||||||||
675.446 | + | 1169.91i | 0.186304 | + | 0.322688i | |||||
0 | 0 | |||||||||
−2154.80 | + | 3732.22i | −0.586869 | + | 1.01649i | |||||
3439.31 | − | 5957.07i | 0.930840 | − | 1.61226i | 0.148951 | − | 0.988845i | ||
0.781889 | − | 0.623418i | ||||||||
0 | 0 | |||||||||
−765.646 | − | 1326.14i | −0.204646 | − | 0.354457i | 0.745374 | − | 0.666646i | ||
−0.950020 | + | 0.312190i | ||||||||
−1550.98 | −0.411988 | |||||||||
0 | 0 | |||||||||
1109.88 | 0.291199 | |||||||||
26.4404 | + | 45.7961i | 0.00689476 | + | 0.0119421i | |||||
0 | 0 | |||||||||
3736.72 | − | 6472.19i | 0.962598 | − | 1.66727i | |||||
1244.25 | − | 2155.10i | 0.318587 | − | 0.551810i | |||||
0 | 0 | |||||||||
1395.56 | + | 2417.18i | 0.353051 | + | 0.611503i | |||||
1181.60 | 0.297139 | 0.148570 | − | 0.988902i | ||||||
0.148570 | + | 0.988902i | ||||||||
0 | 0 | |||||||||
−1631.35 | −0.405384 | |||||||||
−492.131 | − | 852.395i | −0.121571 | − | 0.210567i | |||||
0 | 0 | |||||||||
−128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | |||||
−2190.68 | + | 3794.36i | −0.531714 | + | 0.920956i | 0.467600 | + | 0.883940i | ||
−0.999315 | + | 0.0370161i | ||||||||
0 | 0 | |||||||||
1900.00 | + | 3290.89i | 0.455830 | + | 0.789521i | |||||
−3033.98 | −0.723691 | |||||||||
0 | 0 | |||||||||
3838.55 | 0.905140 | |||||||||
1400.04 | + | 2424.94i | 0.328251 | + | 0.568548i | 0.982165 | − | 0.188021i | ||
−0.653914 | + | 0.756569i | ||||||||
0 | 0 | |||||||||
−1068.72 | + | 1851.07i | −0.247738 | + | 0.429095i | |||||
−2028.95 | + | 3514.25i | −0.467681 | + | 0.810047i | |||||
0 | 0 | |||||||||
−1330.14 | − | 2303.87i | −0.303176 | − | 0.525116i | |||||
2803.73 | 0.635489 | 0.317745 | − | 0.948176i | ||||||
0.317745 | + | 0.948176i | ||||||||
0 | 0 | |||||||||
−6332.36 | −1.41942 | −0.709711 | − | 0.704493i | ||||||
−0.709711 | + | 0.704493i | ||||||||
−937.261 | − | 1623.38i | −0.208933 | − | 0.361883i | |||||
0 | 0 | |||||||||
−2622.86 | + | 4542.92i | −0.578294 | + | 1.00163i | |||||
4.16974 | − | 7.22220i | 0.000914344 | − | 0.00158369i | |||||
0 | 0 | |||||||||
−463.831 | − | 803.378i | −0.100610 | − | 0.174261i | 0.811326 | − | 0.584594i | ||
−0.911936 | + | 0.410332i | ||||||||
−1257.14 | −0.271216 | |||||||||
0 | 0 | |||||||||
1647.38 | 0.351607 | |||||||||
−570.764 | − | 988.592i | −0.121170 | − | 0.209873i | 0.799059 | − | 0.601253i | ||
−0.920230 | + | 0.391379i | ||||||||
0 | 0 | |||||||||
−1805.52 | + | 3127.26i | −0.379248 | + | 0.656877i | −0.990953 | − | 0.134209i | ||
0.611705 | + | 0.791086i | ||||||||
1056.86 | − | 1830.54i | 0.220821 | − | 0.382473i | |||||
0 | 0 | |||||||||
−1596.72 | − | 2765.61i | −0.330127 | − | 0.571796i | |||||
−2439.38 | −0.501715 | |||||||||
0 | 0 | |||||||||
8812.92 | 1.79380 | |||||||||
−2221.02 | − | 3846.91i | −0.449733 | − | 0.778960i | |||||
0 | 0 | |||||||||
147.661 | − | 255.757i | 0.0295932 | − | 0.0512570i | |||||
−1162.11 | + | 2012.83i | −0.231710 | + | 0.401333i | −0.958311 | − | 0.285726i | ||
0.726602 | + | 0.687059i | ||||||||
0 | 0 | |||||||||
1890.60 | + | 3274.61i | 0.373136 | + | 0.646290i | |||||
−1652.86 | −0.324563 | |||||||||
0 | 0 | |||||||||
1136.62 | 0.220949 | |||||||||
2344.54 | + | 4060.86i | 0.453472 | + | 0.785436i | |||||
0 | 0 | |||||||||
3082.34 | − | 5338.77i | 0.590243 | − | 1.02233i | |||||
−357.430 | + | 619.088i | −0.0681053 | + | 0.117962i | |||||
0 | 0 | |||||||||
−882.523 | − | 1528.57i | −0.166501 | − | 0.288387i | |||||
3106.59 | 0.583222 | |||||||||
0 | 0 | |||||||||
6968.51 | 1.29548 | 0.647742 | − | 0.761860i | ||||||
0.647742 | + | 0.761860i | ||||||||
866.985 | + | 1501.66i | 0.160393 | + | 0.277809i | |||||
0 | 0 | |||||||||
3482.69 | − | 6032.20i | 0.638076 | − | 1.10518i | |||||
−3170.15 | + | 5490.87i | −0.578016 | + | 1.00115i | 0.417691 | + | 0.908589i | ||
−0.995707 | + | 0.0925637i | ||||||||
0 | 0 | |||||||||
−1194.42 | − | 2068.79i | −0.215694 | − | 0.373594i | 0.737793 | − | 0.675027i | ||
−0.953487 | + | 0.301434i | ||||||||
−1454.51 | −0.261409 | |||||||||
0 | 0 | |||||||||
−1919.23 | −0.341662 | |||||||||
2930.63 | + | 5076.00i | 0.519245 | + | 0.899359i | 0.999750 | + | 0.0223668i | ||
−0.480505 | + | 0.876992i | ||||||||
0 | 0 | |||||||||
2337.75 | − | 4049.10i | 0.410310 | − | 0.710677i | |||||
−358.277 | + | 620.554i | −0.0625884 | + | 0.108406i | |||||
0 | 0 | |||||||||
−1273.03 | − | 2204.95i | −0.220321 | − | 0.381606i | |||||
12924.3 | 2.22640 | |||||||||
0 | 0 | |||||||||
−23.9706 | −0.00409122 | |||||||||
396.554 | + | 686.851i | 0.0673714 | + | 0.116691i | |||||
0 | 0 | |||||||||
530.523 | − | 918.892i | 0.0893086 | − | 0.154687i | |||||
3485.91 | − | 6037.77i | 0.584147 | − | 1.01177i | |||||
0 | 0 | |||||||||
−2482.48 | − | 4299.78i | −0.412234 | − | 0.714010i | 0.582900 | − | 0.812544i | ||
−0.995134 | + | 0.0985339i | ||||||||
−719.077 | −0.118869 | |||||||||
0 | 0 | |||||||||
6357.04 | 1.04144 | |||||||||
−3723.11 | − | 6448.61i | −0.607209 | − | 1.05172i | |||||
0 | 0 | |||||||||
1548.83 | − | 2682.65i | 0.250357 | − | 0.433630i | −0.713267 | − | 0.700892i | ||
0.963624 | + | 0.267262i | ||||||||
−2392.54 | + | 4144.00i | −0.385021 | + | 0.666875i | |||||
0 | 0 | |||||||||
−2623.43 | − | 4543.91i | −0.418457 | − | 0.724789i | |||||
7331.48 | 1.16429 | |||||||||
0 | 0 | |||||||||
−6395.43 | −1.00677 | |||||||||
1340.71 | + | 2322.17i | 0.210134 | + | 0.363963i | |||||
0 | 0 | |||||||||
−2152.65 | + | 3728.50i | −0.334472 | + | 0.579322i | |||||
−4022.10 | + | 6966.48i | −0.622241 | + | 1.07775i | 0.366827 | + | 0.930289i | ||
−0.989067 | + | 0.147464i | ||||||||
0 | 0 | |||||||||
572.353 | + | 991.345i | 0.0877862 | + | 0.152050i | 0.906575 | − | 0.422045i | ||
−0.818789 | + | 0.574095i | ||||||||
13.0155 | 0.00198773 | |||||||||
0 | 0 | |||||||||
−754.215 | −0.114204 | |||||||||
−3900.63 | − | 6756.09i | −0.588129 | − | 1.01867i | −0.994477 | − | 0.104951i | ||
0.406348 | − | 0.913718i | ||||||||
0 | 0 | |||||||||
2958.20 | − | 5123.75i | 0.442267 | − | 0.766029i | |||||
−1692.92 | + | 2932.22i | −0.252035 | + | 0.436537i | |||||
0 | 0 | |||||||||
4490.29 | + | 7777.41i | 0.662903 | + | 1.14818i | |||||
341.307 | 0.0501769 | 0.0250885 | − | 0.999685i | ||||||
0.0250885 | + | 0.999685i | ||||||||
0 | 0 | |||||||||
5310.48 | 0.774235 | |||||||||
−1407.32 | − | 2437.56i | −0.204329 | − | 0.353909i | |||||
0 | 0 | |||||||||
2492.02 | − | 4316.30i | 0.358838 | − | 0.621526i | |||||
413.310 | − | 715.873i | 0.0592702 | − | 0.102659i | |||||
0 | 0 | |||||||||
−59.6839 | − | 103.376i | −0.00848903 | − | 0.0147034i | 0.861750 | − | 0.507334i | ||
−0.870239 | + | 0.492630i | ||||||||
1107.45 | 0.156874 | |||||||||
0 | 0 | |||||||||
−4626.42 | −0.650044 | |||||||||
−1755.62 | − | 3040.81i | −0.245679 | − | 0.425529i | |||||
0 | 0 | |||||||||
2187.22 | − | 3788.37i | 0.303619 | − | 0.525883i | −0.673334 | − | 0.739338i | ||
0.976953 | + | 0.213456i | ||||||||
2761.31 | − | 4782.74i | 0.381776 | − | 0.661255i | |||||
0 | 0 | |||||||||
1516.25 | + | 2626.22i | 0.207964 | + | 0.360204i | |||||
−13439.0 | −1.83593 | |||||||||
0 | 0 | |||||||||
8949.46 | 1.21294 | 0.606468 | − | 0.795108i | ||||||
0.606468 | + | 0.795108i | ||||||||
−2470.22 | − | 4278.54i | −0.333472 | − | 0.577590i | |||||
0 | 0 | |||||||||
−772.277 | + | 1337.62i | −0.103437 | + | 0.179159i | |||||
−103.232 | + | 178.802i | −0.0137726 | + | 0.0238548i | −0.872830 | − | 0.488025i | ||
0.859057 | + | 0.511880i | ||||||||
0 | 0 | |||||||||
2426.72 | + | 4203.21i | 0.321240 | + | 0.556403i | |||||
7305.35 | 0.963297 | |||||||||
0 | 0 | |||||||||
−2691.94 | −0.352223 | |||||||||
1014.47 | + | 1757.11i | 0.132225 | + | 0.229021i | 0.924534 | − | 0.381099i | ||
−0.792309 | + | 0.610120i | ||||||||
0 | 0 | |||||||||
−4054.56 | + | 7022.70i | −0.524419 | + | 0.908320i | |||||
18.8925 | − | 32.7228i | 0.00243422 | − | 0.00421620i | |||||
0 | 0 | |||||||||
−2647.40 | − | 4585.44i | −0.338513 | − | 0.586322i | |||||
−5372.00 | −0.684290 | |||||||||
0 | 0 | |||||||||
−6646.07 | −0.840193 | −0.420097 | − | 0.907479i | ||||||
−0.420097 | + | 0.907479i | ||||||||
−1470.22 | − | 2546.49i | −0.185164 | − | 0.320713i | |||||
0 | 0 | |||||||||
−2.83063 | + | 4.90280i | −0.000353829 | + | 0.000612850i | |||||
0.817240 | − | 1.41550i | 0.000101773 | − | 0.000176276i | −0.865975 | − | 0.500088i | ||
0.866076 | + | 0.499912i | ||||||||
0 | 0 | |||||||||
−10536.6 | − | 18249.9i | −1.30240 | − | 2.25582i | |||||
826.091 | 0.101732 | |||||||||
0 | 0 | |||||||||
7297.08 | 0.891990 | |||||||||
−2434.79 | − | 4217.18i | −0.296531 | − | 0.513607i | |||||
0 | 0 | |||||||||
3101.68 | − | 5372.26i | 0.374983 | − | 0.649490i | −0.615342 | − | 0.788261i | ||
0.990324 | + | 0.138771i | ||||||||
1484.95 | − | 2572.02i | 0.178870 | − | 0.309812i | |||||
0 | 0 | |||||||||
2743.54 | + | 4751.95i | 0.328069 | + | 0.568232i | |||||
−6211.51 | −0.740068 | |||||||||
0 | 0 | |||||||||
−2012.72 | −0.238074 | |||||||||
1083.94 | + | 1877.44i | 0.127751 | + | 0.221271i | |||||
0 | 0 | |||||||||
2600.05 | − | 4503.41i | 0.304240 | − | 0.526960i | |||||
4875.18 | − | 8444.07i | 0.568421 | − | 0.984534i | −0.428302 | − | 0.903636i | ||
0.996722 | − | 0.0808979i | ||||||||
0 | 0 | |||||||||
5030.69 | + | 8713.41i | 0.582377 | + | 1.00871i | 0.995197 | + | 0.0978939i | ||
−0.412820 | + | 0.910813i | ||||||||
3072.01 | 0.354368 | |||||||||
0 | 0 | |||||||||
1527.26 | 0.174930 | |||||||||
−20.7269 | − | 35.9000i | −0.00236565 | − | 0.00409743i | |||||
0 | 0 | |||||||||
−2551.65 | + | 4419.59i | −0.289187 | + | 0.500887i | |||||
2534.00 | − | 4389.02i | 0.286181 | − | 0.495680i | |||||
0 | 0 | |||||||||
3752.69 | + | 6499.85i | 0.420862 | + | 0.728955i | |||||
−6763.21 | −0.755853 | −0.377926 | − | 0.925836i | ||||||
−0.377926 | + | 0.925836i | ||||||||
0 | 0 | |||||||||
−10601.4 | −1.17660 | −0.588302 | − | 0.808641i | ||||||
−0.588302 | + | 0.808641i | ||||||||
5721.14 | + | 9909.30i | 0.632773 | + | 1.09599i | |||||
0 | 0 | |||||||||
−3450.26 | + | 5976.03i | −0.378985 | + | 0.656422i | |||||
−3817.76 | + | 6612.55i | −0.417914 | + | 0.723848i | |||||
0 | 0 | |||||||||
6284.46 | + | 10885.0i | 0.683237 | + | 1.18340i | 0.973987 | + | 0.226602i | ||
−0.290751 | + | 0.956799i | ||||||||
−2111.08 | −0.228731 | |||||||||
0 | 0 | |||||||||
−15874.0 | −1.70825 | |||||||||
5127.71 | + | 8881.46i | 0.549944 | + | 0.952530i | 0.998278 | + | 0.0586643i | ||
−0.448334 | + | 0.893866i | ||||||||
0 | 0 | |||||||||
−4738.53 | + | 8207.38i | −0.504782 | + | 0.874308i | |||||
1657.53 | − | 2870.93i | 0.175978 | − | 0.304803i | |||||
0 | 0 | |||||||||
−588.554 | − | 1019.41i | −0.0620682 | − | 0.107505i | |||||
−4080.23 | −0.428860 | −0.214430 | − | 0.976739i | ||||||
−0.214430 | + | 0.976739i | ||||||||
0 | 0 | |||||||||
3126.00 | 0.326381 | |||||||||
3480.39 | + | 6028.22i | 0.362177 | + | 0.627308i | |||||
0 | 0 | |||||||||
1514.26 | − | 2622.78i | 0.156537 | − | 0.271130i | |||||
6975.25 | − | 12081.5i | 0.718691 | − | 1.24481i | |||||
0 | 0 | |||||||||
1091.60 | + | 1890.71i | 0.111735 | + | 0.193531i | 0.916470 | − | 0.400104i | ||
−0.804735 | + | 0.593634i | ||||||||
8598.08 | 0.877209 | |||||||||
0 | 0 | |||||||||
3099.78 | 0.314192 | |||||||||
−1625.13 | − | 2814.81i | −0.164186 | − | 0.284379i | 0.772180 | − | 0.635404i | ||
−0.936366 | + | 0.351025i | ||||||||
0 | 0 | |||||||||
−9495.57 | + | 16446.8i | −0.953124 | + | 1.65086i | −0.214520 | + | 0.976720i | ||
−0.738604 | + | 0.674140i | ||||||||
−1586.98 | + | 2748.74i | −0.158780 | + | 0.275015i | |||||
0 | 0 | |||||||||
−1336.78 | − | 2315.37i | −0.132887 | − | 0.230166i | |||||
6906.52 | 0.684359 | 0.342180 | − | 0.939635i | ||||||
0.342180 | + | 0.939635i | ||||||||
0 | 0 | |||||||||
12232.2 | 1.20432 | |||||||||
4244.03 | + | 7350.88i | 0.416516 | + | 0.721427i | |||||
0 | 0 | |||||||||
1350.89 | − | 2339.81i | 0.131737 | − | 0.228175i | |||||
−3949.93 | + | 6841.48i | −0.383970 | + | 0.665056i | |||||
0 | 0 | |||||||||
−19.5164 | − | 33.8034i | −0.00188521 | − | 0.00326527i | |||||
8619.20 | 0.829959 | |||||||||
0 | 0 | |||||||||
−13757.3 | −1.31641 | |||||||||
−3690.14 | − | 6391.50i | −0.351997 | − | 0.609677i | 0.634602 | − | 0.772839i | ||
−0.986599 | + | 0.163162i | ||||||||
0 | 0 | |||||||||
−6998.44 | + | 12121.6i | −0.663412 | + | 1.14906i | |||||
−1531.29 | + | 2652.28i | −0.144706 | + | 0.250639i | |||||
0 | 0 | |||||||||
1550.98 | + | 2686.38i | 0.145660 | + | 0.252290i | |||||
−7534.84 | −0.705442 | |||||||||
0 | 0 | |||||||||
−8756.51 | −0.814774 | −0.407387 | − | 0.913256i | ||||||
−0.407387 | + | 0.913256i | ||||||||
−1109.88 | − | 1922.36i | −0.102954 | − | 0.178322i | |||||
0 | 0 | |||||||||
52.8808 | − | 91.5922i | 0.00487533 | − | 0.00844432i | |||||
−5918.97 | + | 10252.0i | −0.544031 | + | 0.942290i | 0.454636 | + | 0.890677i | ||
−0.998667 | + | 0.0516124i | ||||||||
0 | 0 | |||||||||
−11620.5 | − | 20127.2i | −1.06158 | − | 1.83871i | |||||
−14946.9 | −1.36132 | |||||||||
0 | 0 | |||||||||
−4976.98 | −0.450551 | |||||||||
4859.53 | + | 8416.95i | 0.438591 | + | 0.759662i | |||||
0 | 0 | |||||||||
−4289.19 | + | 7429.09i | −0.384791 | + | 0.666477i | −0.991740 | − | 0.128264i | ||
0.606950 | + | 0.794740i | ||||||||
2791.12 | − | 4834.35i | 0.249645 | − | 0.432398i | |||||
0 | 0 | |||||||||
−1181.60 | − | 2046.59i | −0.105055 | − | 0.181960i | |||||
−3611.17 | −0.320107 | −0.160054 | − | 0.987108i | ||||||
−0.160054 | + | 0.987108i | ||||||||
0 | 0 | |||||||||
2312.26 | 0.203751 | |||||||||
1631.35 | + | 2825.59i | 0.143325 | + | 0.248246i | |||||
0 | 0 | |||||||||
−984.261 | + | 1704.79i | −0.0859636 | + | 0.148893i | |||||
−4529.87 | + | 7845.96i | −0.394465 | + | 0.683234i | −0.993033 | − | 0.117838i | ||
0.598567 | + | 0.801072i | ||||||||
0 | 0 | |||||||||
678.958 | + | 1175.99i | 0.0587775 | + | 0.101806i | |||||
512.000 | 0.0441942 | |||||||||
0 | 0 | |||||||||
8762.70 | 0.751957 | |||||||||
7679.27 | + | 13300.9i | 0.657066 | + | 1.13807i | |||||
0 | 0 | |||||||||
−4467.09 | + | 7737.23i | −0.380005 | + | 0.658188i | |||||
3799.99 | − | 6581.78i | 0.322321 | − | 0.558276i | |||||
0 | 0 | |||||||||
3033.98 | + | 5255.01i | 0.255863 | + | 0.443169i | |||||
−12834.1 | −1.07922 | −0.539609 | − | 0.841916i | ||||||
−0.539609 | + | 0.841916i | ||||||||
0 | 0 | |||||||||
7061.21 | 0.590373 | 0.295187 | − | 0.955440i | ||||||
0.295187 | + | 0.955440i | ||||||||
−3838.55 | − | 6648.57i | −0.320015 | − | 0.554283i | |||||
0 | 0 | |||||||||
2800.08 | − | 4849.88i | 0.232109 | − | 0.402024i | |||||
18221.6 | − | 31560.8i | 1.50616 | − | 2.60875i | |||||
0 | 0 | |||||||||
3688.11 | + | 6388.00i | 0.303124 | + | 0.525027i | |||||
4274.86 | 0.350355 | |||||||||
0 | 0 | |||||||||
8115.81 | 0.661401 | |||||||||
−4492.61 | − | 7781.43i | −0.365097 | − | 0.632366i | |||||
0 | 0 | |||||||||
7092.76 | − | 12285.0i | 0.573172 | − | 0.992762i | |||||
−2660.28 | + | 4607.73i | −0.214378 | + | 0.371313i | |||||
0 | 0 | |||||||||
−2803.73 | − | 4856.21i | −0.224679 | − | 0.389156i | |||||
111.320 | 0.00889593 | |||||||||
0 | 0 | |||||||||
−21645.6 | −1.72018 | −0.860091 | − | 0.510141i | ||||||
−0.860091 | + | 0.510141i | ||||||||
6332.36 | + | 10968.0i | 0.501842 | + | 0.869215i | |||||
0 | 0 | |||||||||
−1874.52 | + | 3246.77i | −0.147738 | + | 0.255890i | |||||
−9657.41 | + | 16727.1i | −0.759042 | + | 1.31470i | |||||
0 | 0 | |||||||||
−4253.52 | − | 7367.32i | −0.332482 | − | 0.575875i | 0.650516 | − | 0.759492i | ||
−0.982998 | + | 0.183617i | ||||||||
10491.4 | 0.817832 | |||||||||
0 | 0 | |||||||||
−16.6790 | −0.00129308 | |||||||||
−10941.8 | − | 18951.7i | −0.845982 | − | 1.46528i | |||||
0 | 0 | |||||||||
4412.38 | − | 7642.47i | 0.339301 | − | 0.587687i | |||||
−927.661 | + | 1606.76i | −0.0711418 | + | 0.123221i | |||||
0 | 0 | |||||||||
1257.14 | + | 2177.43i | 0.0958894 | + | 0.166085i | |||||
−636.486 | −0.0484179 | −0.0242090 | − | 0.999707i | ||||||
−0.0242090 | + | 0.999707i | ||||||||
0 | 0 | |||||||||
22706.9 | 1.71807 | |||||||||
−1647.38 | − | 2853.35i | −0.124312 | − | 0.215315i | |||||
0 | 0 | |||||||||
−1141.53 | + | 1977.18i | −0.0856805 | + | 0.148403i | |||||
−6781.31 | + | 11745.6i | −0.507635 | + | 0.879249i | 0.492326 | + | 0.870411i | ||
−0.999961 | + | 0.00883838i | ||||||||
0 | 0 | |||||||||
9741.75 | + | 16873.2i | 0.725378 | + | 1.25639i | |||||
7222.09 | 0.536338 | |||||||||
0 | 0 | |||||||||
−4227.45 | −0.312288 | |||||||||
10558.4 | + | 18287.6i | 0.777909 | + | 1.34738i | 0.933145 | + | 0.359500i | ||
−0.155236 | + | 0.987877i | ||||||||
0 | 0 | |||||||||
7263.55 | − | 12580.8i | 0.532347 | − | 0.922052i | −0.466940 | − | 0.884289i | ||
0.999287 | − | 0.0377630i | ||||||||
−3193.45 | + | 5531.21i | −0.233435 | + | 0.404321i | |||||
0 | 0 | |||||||||
2439.38 | + | 4225.14i | 0.177383 | + | 0.307237i | |||||
24.4904 | 0.00177621 | |||||||||
0 | 0 | |||||||||
−14590.9 | −1.05273 | −0.526366 | − | 0.850258i | ||||||
−0.526366 | + | 0.850258i | ||||||||
−8812.92 | − | 15264.4i | −0.634203 | − | 1.09847i | |||||
0 | 0 | |||||||||
−4442.03 | + | 7693.82i | −0.318009 | + | 0.550808i | |||||
1653.18 | − | 2863.40i | 0.118048 | − | 0.204464i | |||||
0 | 0 | |||||||||
2249.77 | + | 3896.72i | 0.159822 | + | 0.276819i | |||||
−590.645 | −0.0418511 | |||||||||
0 | 0 | |||||||||
4648.42 | 0.327687 | |||||||||
−9170.74 | − | 15884.2i | −0.644833 | − | 1.11688i | −0.984340 | − | 0.176280i | ||
0.339507 | − | 0.940603i | ||||||||
0 | 0 | |||||||||
17157.4 | − | 29717.5i | 1.20027 | − | 2.07893i | |||||
3781.20 | − | 6549.23i | 0.263847 | − | 0.456996i | |||||
0 | 0 | |||||||||
1652.86 | + | 2862.84i | 0.114750 | + | 0.198753i | |||||
28380.4 | 1.96534 | 0.982668 | − | 0.185376i | ||||||
0.982668 | + | 0.185376i | ||||||||
0 | 0 | |||||||||
24125.5 | 1.66227 | |||||||||
−1136.62 | − | 1968.69i | −0.0781173 | − | 0.135303i | |||||
0 | 0 | |||||||||
4689.08 | − | 8121.72i | 0.320653 | − | 0.555387i | |||||
11940.6 | − | 20681.7i | 0.814487 | − | 1.41073i | −0.0952079 | − | 0.995457i | ||
0.909695 | − | 0.415276i | ||||||||
0 | 0 | |||||||||
−8310.38 | − | 14394.0i | −0.564039 | − | 0.976944i | −0.997138 | − | 0.0755978i | ||
0.433100 | − | 0.901346i | ||||||||
−12329.4 | −0.834729 | |||||||||
0 | 0 | |||||||||
1429.72 | 0.0963155 | |||||||||
4341.26 | + | 7519.29i | 0.291731 | + | 0.505293i | |||||
0 | 0 | |||||||||
785.389 | − | 1360.33i | 0.0525172 | − | 0.0909624i | −0.838572 | − | 0.544791i | ||
0.891089 | + | 0.453829i | ||||||||
−1765.05 | + | 3057.15i | −0.117734 | + | 0.203921i | |||||
0 | 0 | |||||||||
−3106.59 | − | 5380.77i | −0.206200 | − | 0.357149i | |||||
25680.0 | 1.70033 | |||||||||
0 | 0 | |||||||||
−5766.40 | −0.379939 | −0.189969 | − | 0.981790i | ||||||
−0.189969 | + | 0.981790i | ||||||||
−6968.51 | − | 12069.8i | −0.458023 | − | 0.793319i | |||||
0 | 0 | |||||||||
1733.97 | − | 3003.32i | 0.113415 | − | 0.196440i | |||||
−3481.28 | + | 6029.76i | −0.227149 | + | 0.393434i | −0.956962 | − | 0.290213i | ||
0.729813 | + | 0.683647i | ||||||||
0 | 0 | |||||||||
−1330.21 | − | 2303.99i | −0.0863741 | − | 0.149604i | 0.819602 | − | 0.572934i | ||
−0.905976 | + | 0.423329i | ||||||||
−13930.8 | −0.902376 | |||||||||
0 | 0 | |||||||||
12680.6 | 0.817438 | |||||||||
−7784.15 | − | 13482.5i | −0.500587 | − | 0.867042i | |||||
0 | 0 | |||||||||
7834.55 | − | 13569.8i | 0.501411 | − | 0.868470i | |||||
−2388.83 | + | 4137.58i | −0.152519 | + | 0.264171i | |||||
0 | 0 | |||||||||
1454.51 | + | 2519.28i | 0.0924222 | + | 0.160080i | |||||
−24205.7 | −1.53441 | |||||||||
0 | 0 | |||||||||
−20432.5 | −1.28908 | −0.644538 | − | 0.764573i | ||||||
−0.644538 | + | 0.764573i | ||||||||
1919.23 | + | 3324.20i | 0.120796 | + | 0.209224i | |||||
0 | 0 | |||||||||
5861.26 | − | 10152.0i | 0.367162 | − | 0.635943i | |||||
−2754.98 | + | 4771.77i | −0.172170 | + | 0.298208i | |||||
0 | 0 | |||||||||
−159.987 | − | 277.105i | −0.00995118 | − | 0.0172359i | |||||
−9351.00 | −0.580266 | |||||||||
0 | 0 | |||||||||
1433.11 | 0.0885134 | |||||||||
−13034.2 | − | 22575.8i | −0.803149 | − | 1.39109i | −0.917534 | − | 0.397658i | ||
0.114385 | − | 0.993436i | ||||||||
0 | 0 | |||||||||
−10585.2 | + | 18334.1i | −0.649207 | + | 1.12446i | 0.334106 | + | 0.942535i | ||
−0.983313 | + | 0.181923i | ||||||||
−2546.06 | + | 4409.91i | −0.155790 | + | 0.269836i | |||||
0 | 0 | |||||||||
−12924.3 | − | 22385.5i | −0.787151 | − | 1.36339i | |||||
8291.45 | 0.503818 | 0.251909 | − | 0.967751i | ||||||
0.251909 | + | 0.967751i | ||||||||
0 | 0 | |||||||||
7959.87 | 0.481436 | |||||||||
23.9706 | + | 41.5182i | 0.00144647 | + | 0.00250535i | |||||
0 | 0 | |||||||||
793.108 | − | 1373.70i | 0.0476388 | − | 0.0825128i | |||||
−12342.5 | + | 21377.8i | −0.739662 | + | 1.28113i | 0.212985 | + | 0.977055i | ||
−0.952648 | + | 0.304077i | ||||||||
0 | 0 | |||||||||
−10744.3 | − | 18609.6i | −0.640936 | − | 1.11013i | |||||
−2122.09 | −0.126301 | |||||||||
0 | 0 | |||||||||
−13943.6 | −0.826108 | |||||||||
14977.2 | + | 25941.3i | 0.885325 | + | 1.53343i | 0.845341 | + | 0.534227i | ||
0.0399839 | + | 0.999200i | ||||||||
0 | 0 | |||||||||
2063.38 | − | 3573.88i | 0.121416 | − | 0.210299i | −0.798910 | − | 0.601450i | ||
0.920326 | + | 0.391151i | ||||||||
−4964.96 | + | 8599.56i | −0.291493 | + | 0.504881i | |||||
0 | 0 | |||||||||
719.077 | + | 1245.48i | 0.0420265 | + | 0.0727920i | |||||
22716.5 | 1.32467 | |||||||||
0 | 0 | |||||||||
13730.5 | 0.797070 | |||||||||
−6357.04 | − | 11010.7i | −0.368206 | − | 0.637751i | |||||
0 | 0 | |||||||||
−7446.21 | + | 12897.2i | −0.429362 | + | 0.743676i | |||||
3269.87 | − | 5663.58i | 0.188125 | − | 0.325842i | |||||
0 | 0 | |||||||||
13164.9 | + | 22802.2i | 0.754039 | + | 1.30603i | 0.945851 | + | 0.324602i | ||
−0.191812 | + | 0.981432i | ||||||||
−6195.32 | −0.354058 | |||||||||
0 | 0 | |||||||||
9570.15 | 0.544501 | |||||||||
−3301.93 | − | 5719.11i | −0.187450 | − | 0.324673i | 0.756949 | − | 0.653473i | ||
−0.944399 | + | 0.328801i | ||||||||
0 | 0 | |||||||||
6188.87 | − | 10719.4i | 0.349789 | − | 0.605853i | |||||
−5246.86 | + | 9087.83i | −0.295894 | + | 0.512503i | |||||
0 | 0 | |||||||||
−7331.48 | − | 12698.5i | −0.411637 | − | 0.712977i | |||||
12706.4 | 0.711854 | 0.355927 | − | 0.934514i | ||||||
0.355927 | + | 0.934514i | ||||||||
0 | 0 | |||||||||
29365.9 | 1.63798 | |||||||||
6395.43 | + | 11077.2i | 0.355946 | + | 0.616516i | |||||
0 | 0 | |||||||||
2681.42 | − | 4644.35i | 0.148587 | − | 0.257361i | |||||
6466.63 | − | 11200.5i | 0.357560 | − | 0.619312i | |||||
0 | 0 | |||||||||
7865.10 | + | 13622.8i | 0.432999 | + | 0.749977i | 0.997130 | − | 0.0757086i | ||
−0.564131 | + | 0.825686i | ||||||||
8610.60 | 0.473014 | |||||||||
0 | 0 | |||||||||
16088.4 | 0.879982 | |||||||||
3518.78 | + | 6094.70i | 0.192050 | + | 0.332640i | |||||
0 | 0 | |||||||||
7769.35 | − | 13456.9i | 0.422217 | − | 0.731301i | |||||
1144.71 | − | 1982.69i | 0.0620742 | − | 0.107516i | |||||
0 | 0 | |||||||||
−13.0155 | − | 22.5434i | −0.000702769 | − | 0.00121723i | |||||
−652.959 | −0.0351811 | −0.0175905 | − | 0.999845i | ||||||
−0.0175905 | + | 0.999845i | ||||||||
0 | 0 | |||||||||
−22792.0 | −1.22278 | |||||||||
754.215 | + | 1306.34i | 0.0403772 | + | 0.0699354i | |||||
0 | 0 | |||||||||
−7801.26 | + | 13512.2i | −0.415870 | + | 0.720308i | |||||
−1899.22 | + | 3289.54i | −0.101029 | + | 0.174987i | |||||
0 | 0 | |||||||||
12442.2 | + | 21550.6i | 0.659065 | + | 1.14153i | 0.980858 | + | 0.194724i | ||
−0.321793 | + | 0.946810i | ||||||||
−11832.8 | −0.625460 | |||||||||
0 | 0 | |||||||||
6771.66 | 0.356431 | |||||||||
10765.1 | + | 18645.7i | 0.565438 | + | 0.979367i | |||||
0 | 0 | |||||||||
−8938.58 | + | 15482.1i | −0.467530 | + | 0.809786i | |||||
8980.58 | − | 15554.8i | 0.468743 | − | 0.811887i | |||||
0 | 0 | |||||||||
−341.307 | − | 591.162i | −0.0177402 | − | 0.0307270i | |||||
21323.8 | 1.10604 | 0.553020 | − | 0.833168i | ||||||
0.553020 | + | 0.833168i | ||||||||
0 | 0 | |||||||||
−25230.0 | −1.30321 | |||||||||
−5310.48 | − | 9198.02i | −0.273733 | − | 0.474120i | |||||
0 | 0 | |||||||||
−2814.65 | + | 4875.11i | −0.144483 | + | 0.250251i | |||||
−35.0951 | + | 60.7865i | −0.00179779 | + | 0.00311387i | |||||
0 | 0 | |||||||||
−4016.00 | − | 6955.92i | −0.204877 | − | 0.354857i | 0.745217 | − | 0.666822i | ||
−0.950093 | + | 0.311965i | ||||||||
−9968.06 | −0.507474 | |||||||||
0 | 0 | |||||||||
−1653.24 | −0.0838207 | |||||||||
19634.3 | + | 34007.6i | 0.993433 | + | 1.72068i | |||||
0 | 0 | |||||||||
−14228.7 | + | 24644.8i | −0.716984 | + | 1.24185i | 0.245205 | + | 0.969471i | ||
−0.962189 | + | 0.272381i | ||||||||
−119.368 | + | 206.751i | −0.00600265 | + | 0.0103969i | |||||
0 | 0 | |||||||||
−1107.45 | − | 1918.15i | −0.0554633 | − | 0.0960653i | |||||
−15675.2 | −0.783449 | |||||||||
0 | 0 | |||||||||
−11006.3 | −0.547868 | −0.273934 | − | 0.961748i | ||||||
−0.273934 | + | 0.961748i | ||||||||
4626.42 | + | 8013.20i | 0.229825 | + | 0.398069i | |||||
0 | 0 | |||||||||
−3511.23 | + | 6081.63i | −0.173721 | + | 0.300894i | |||||
−2326.45 | + | 4029.54i | −0.114871 | + | 0.198963i | −0.917728 | − | 0.397209i | ||
0.802857 | + | 0.596172i | ||||||||
0 | 0 | |||||||||
−3181.45 | − | 5510.44i | −0.156456 | − | 0.270989i | |||||
−8748.86 | −0.429381 | |||||||||
0 | 0 | |||||||||
−11045.3 | −0.539913 | |||||||||
11651.5 | + | 20181.0i | 0.568408 | + | 0.984511i | |||||
0 | 0 | |||||||||
8678.87 | − | 15032.3i | 0.421700 | − | 0.730406i | −0.574406 | − | 0.818571i | ||
0.996106 | + | 0.0881649i | ||||||||
3032.49 | − | 5252.43i | 0.147053 | − | 0.254703i | |||||
0 | 0 | |||||||||
13439.0 | + | 23277.0i | 0.649098 | + | 1.12427i | |||||
4001.85 | 0.192903 | |||||||||
0 | 0 | |||||||||
119.139 | 0.00572019 | 0.00286010 | − | 0.999996i | ||||||
0.00286010 | + | 0.999996i | ||||||||
−8949.46 | − | 15500.9i | −0.428838 | − | 0.742769i | |||||
0 | 0 | |||||||||
−4940.43 | + | 8557.08i | −0.235800 | + | 0.408418i | |||||
4421.51 | − | 7658.28i | 0.210617 | − | 0.364799i | −0.741291 | − | 0.671184i | ||
0.951908 | + | 0.306385i | ||||||||
0 | 0 | |||||||||
−15864.6 | − | 27478.2i | −0.752734 | − | 1.30377i | |||||
3089.11 | 0.146283 | |||||||||
0 | 0 | |||||||||
412.926 | 0.0194773 | |||||||||
−11439.7 | − | 19814.2i | −0.538545 | − | 0.932788i | |||||
0 | 0 | |||||||||
−1346.55 | + | 2332.30i | −0.0631442 | + | 0.109369i | −0.895869 | − | 0.444318i | ||
0.832725 | + | 0.553687i | ||||||||
4853.45 | − | 8406.41i | 0.227151 | − | 0.393437i | |||||
0 | 0 | |||||||||
−7305.35 | − | 12653.2i | −0.340577 | − | 0.589897i | |||||
−18116.5 | −0.842958 | −0.421479 | − | 0.906838i | ||||||
−0.421479 | + | 0.906838i | ||||||||
0 | 0 | |||||||||
−110.063 | −0.00510137 | |||||||||
2691.94 | + | 4662.57i | 0.124530 | + | 0.215692i | |||||
0 | 0 | |||||||||
2028.94 | − | 3514.23i | 0.0934975 | − | 0.161942i | |||||
7315.60 | − | 12671.0i | 0.336468 | − | 0.582780i | |||||
0 | 0 | |||||||||
−6227.35 | − | 10786.1i | −0.285316 | − | 0.494183i | |||||
16218.2 | 0.741640 | |||||||||
0 | 0 | |||||||||
−75.5700 | −0.00344251 | |||||||||
4071.22 | + | 7051.56i | 0.185106 | + | 0.320613i | |||||
0 | 0 | |||||||||
−15873.7 | + | 27494.1i | −0.718980 | + | 1.24531i | 0.242424 | + | 0.970170i | ||
−0.961404 | + | 0.275140i | ||||||||
−5294.81 | + | 9170.88i | −0.239365 | + | 0.414593i | |||||
0 | 0 | |||||||||
5372.00 | + | 9304.58i | 0.241933 | + | 0.419040i | |||||
−32006.2 | −1.43870 | |||||||||
0 | 0 | |||||||||
−18797.5 | −0.841763 | |||||||||
6646.07 | + | 11511.3i | 0.297053 | + | 0.514511i | |||||
0 | 0 | |||||||||
−2940.43 | + | 5092.97i | −0.130931 | + | 0.226778i | |||||
14132.9 | − | 24478.9i | 0.628122 | − | 1.08794i | −0.359806 | − | 0.933027i | ||
0.987928 | − | 0.154912i | ||||||||
0 | 0 | |||||||||
22205.0 | + | 38460.2i | 0.983174 | + | 1.70291i | |||||
11.3225 | 0.000500390 | |||||||||
0 | 0 | |||||||||
−3.26896 | −0.000143929 | |||||||||
−870.065 | − | 1507.00i | −0.0382365 | − | 0.0662276i | |||||
0 | 0 | |||||||||
−7126.52 | + | 12343.5i | −0.312021 | + | 0.540436i | |||||
−21073.2 | + | 36499.9i | −0.920933 | + | 1.59510i | |||||
0 | 0 | |||||||||
−826.091 | − | 1430.83i | −0.0359676 | − | 0.0622976i | |||||
−42553.4 | −1.84932 | −0.924659 | − | 0.380795i | ||||||
−0.924659 | + | 0.380795i | ||||||||
0 | 0 | |||||||||
−6900.03 | −0.298758 | −0.149379 | − | 0.988780i | ||||||
−0.149379 | + | 0.988780i | ||||||||
−7297.08 | − | 12638.9i | −0.315366 | − | 0.546230i | |||||
0 | 0 | |||||||||
−4869.58 | + | 8434.36i | −0.209679 | + | 0.363175i | |||||
2219.94 | − | 3845.05i | 0.0954123 | − | 0.165259i | |||||
0 | 0 | |||||||||
18487.6 | + | 32021.4i | 0.791675 | + | 1.37122i | |||||
−12406.7 | −0.530306 | |||||||||
0 | 0 | |||||||||
−5939.81 | −0.252960 | |||||||||
−11179.6 | − | 19363.6i | −0.475238 | − | 0.823136i | 0.524360 | − | 0.851497i | ||
−0.999598 | + | 0.0283606i | ||||||||
0 | 0 | |||||||||
−395.785 | + | 685.520i | −0.0167633 | + | 0.0290349i | −0.874285 | − | 0.485412i | ||
0.857522 | + | 0.514447i | ||||||||
5487.08 | − | 9503.90i | 0.231980 | − | 0.401801i | |||||
0 | 0 | |||||||||
6211.51 | + | 10758.6i | 0.261654 | + | 0.453198i | |||||
23005.9 | 0.967343 | 0.483671 | − | 0.875250i | ||||||
0.483671 | + | 0.875250i | ||||||||
0 | 0 | |||||||||
−15420.2 | −0.646040 | −0.323020 | − | 0.946392i | ||||||
−0.323020 | + | 0.946392i | ||||||||
2012.72 | + | 3486.14i | 0.0841718 | + | 0.145790i | |||||
0 | 0 | |||||||||
2167.88 | − | 3754.87i | 0.0903336 | − | 0.156462i | |||||
276.675 | − | 479.215i | 0.0115081 | − | 0.0199326i | |||||
0 | 0 | |||||||||
−17793.6 | − | 30819.4i | −0.737453 | − | 1.27731i | |||||
−10400.2 | −0.430261 | |||||||||
0 | 0 | |||||||||
−19500.7 | −0.803869 | |||||||||
−23145.1 | − | 40088.4i | −0.952391 | − | 1.64959i | −0.740228 | − | 0.672356i | ||
−0.212163 | − | 0.977234i | ||||||||
0 | 0 | |||||||||
−7481.44 | + | 12958.2i | −0.306755 | + | 0.531314i | |||||
10061.4 | − | 17426.8i | 0.411803 | − | 0.713263i | |||||
0 | 0 | |||||||||
−3072.01 | − | 5320.88i | −0.125288 | − | 0.217005i | |||||
26787.2 | 1.09054 | |||||||||
0 | 0 | |||||||||
−14263.1 | −0.578613 | |||||||||
−1527.26 | − | 2645.29i | −0.0618471 | − | 0.107122i | |||||
0 | 0 | |||||||||
−41.4538 | + | 71.8001i | −0.00167277 | + | 0.00289732i | |||||
7150.22 | − | 12384.5i | 0.288021 | − | 0.498868i | |||||
0 | 0 | |||||||||
−13951.2 | − | 24164.2i | −0.559999 | − | 0.969947i | −0.997496 | − | 0.0707272i | ||
0.437496 | − | 0.899220i | ||||||||
10206.6 | 0.408973 | |||||||||
0 | 0 | |||||||||
−10136.0 | −0.404721 | |||||||||
−3276.46 | − | 5675.00i | −0.130597 | − | 0.226201i | 0.793310 | − | 0.608818i | ||
−0.923907 | + | 0.382617i | ||||||||
0 | 0 | |||||||||
−17428.8 | + | 30187.6i | −0.692275 | + | 1.19906i | 0.278815 | + | 0.960345i | ||
−0.971091 | + | 0.238711i | ||||||||
7505.38 | − | 12999.7i | 0.297595 | − | 0.515449i | |||||
0 | 0 | |||||||||
6763.21 | + | 11714.2i | 0.267234 | + | 0.462863i | |||||
−10885.2 | −0.429359 | −0.214680 | − | 0.976685i | ||||||
−0.214680 | + | 0.976685i | ||||||||
0 | 0 | |||||||||
24101.4 | 0.947367 | |||||||||
10601.4 | + | 18362.1i | 0.415993 | + | 0.720520i | |||||
0 | 0 | |||||||||
11442.3 | − | 19818.6i | 0.447438 | − | 0.774985i | |||||
−5654.35 | + | 9793.61i | −0.220726 | + | 0.382308i | |||||
0 | 0 | |||||||||
22527.9 | + | 39019.5i | 0.876383 | + | 1.51794i | |||||
13801.0 | 0.535966 | |||||||||
0 | 0 | |||||||||
15271.0 | 0.591019 | |||||||||
12833.8 | + | 22228.7i | 0.495840 | + | 0.858821i | |||||
0 | 0 | |||||||||
13956.9 | − | 24174.1i | 0.537390 | − | 0.930787i | −0.461653 | − | 0.887061i | ||
0.999044 | − | 0.0437269i | ||||||||
12568.9 | − | 21770.0i | 0.483121 | − | 0.836791i | |||||
0 | 0 | |||||||||
2111.08 | + | 3656.49i | 0.0808686 | + | 0.140069i | |||||
10694.5 | 0.408975 | 0.204488 | − | 0.978869i | ||||||
0.204488 | + | 0.978869i | ||||||||
0 | 0 | |||||||||
3265.74 | 0.124463 | 0.0622315 | − | 0.998062i | ||||||
0.0622315 | + | 0.998062i | ||||||||
15874.0 | + | 27494.5i | 0.603958 | + | 1.04609i | |||||
0 | 0 | |||||||||
10255.4 | − | 17762.9i | 0.388869 | − | 0.673541i | |||||
−4696.44 | + | 8134.47i | −0.177780 | + | 0.307924i | −0.941120 | − | 0.338073i | ||
0.763340 | + | 0.645997i | ||||||||
0 | 0 | |||||||||
−4525.71 | − | 7838.75i | −0.170739 | − | 0.295729i | |||||
18954.1 | 0.713870 | |||||||||
0 | 0 | |||||||||
−6630.12 | −0.248871 | |||||||||
20908.2 | + | 36214.0i | 0.783499 | + | 1.35706i | |||||
0 | 0 | |||||||||
25137.0 | − | 43538.6i | 0.938812 | − | 1.62607i | |||||
−1177.11 | + | 2038.81i | −0.0438888 | + | 0.0760177i | |||||
0 | 0 | |||||||||
4080.23 | + | 7067.17i | 0.151625 | + | 0.262622i | |||||
−61706.2 | −2.28923 | |||||||||
0 | 0 | |||||||||
22366.3 | 0.827002 | |||||||||
−3126.00 | − | 5414.39i | −0.115393 | − | 0.199867i | |||||
0 | 0 | |||||||||
6960.78 | − | 12056.4i | 0.256098 | − | 0.443574i | |||||
−7878.30 | + | 13645.6i | −0.289374 | + | 0.501211i | |||||
0 | 0 | |||||||||
−6769.24 | − | 11724.7i | −0.247816 | − | 0.429229i | 0.715104 | − | 0.699018i | ||
−0.962919 | + | 0.269789i | ||||||||
−6057.04 | −0.221377 | |||||||||
0 | 0 | |||||||||
−27901.0 | −1.01638 | |||||||||
−18903.2 | − | 32741.3i | −0.687476 | − | 1.19074i | −0.972652 | − | 0.232269i | ||
0.285175 | − | 0.958475i | ||||||||
0 | 0 | |||||||||
−2118.51 | + | 3669.37i | −0.0767935 | + | 0.133010i | |||||
2183.20 | − | 3781.41i | 0.0790086 | − | 0.136847i | |||||
0 | 0 | |||||||||
−8598.08 | − | 14892.3i | −0.310140 | − | 0.537179i | |||||
35299.9 | 1.27122 | |||||||||
0 | 0 | |||||||||
30674.2 | 1.10103 | 0.550515 | − | 0.834825i | ||||||
0.550515 | + | 0.834825i | ||||||||
−3099.78 | − | 5368.98i | −0.111084 | − | 0.192402i | |||||
0 | 0 | |||||||||
−3250.26 | + | 5629.62i | −0.116097 | + | 0.201086i | |||||
−17899.6 | + | 31003.0i | −0.638322 | + | 1.10561i | |||||
0 | 0 | |||||||||
36.5519 | + | 63.3098i | 0.00129926 | + | 0.00225039i | |||||
37982.3 | 1.34792 | |||||||||
0 | 0 | |||||||||
6347.94 | 0.224549 | |||||||||
−14058.7 | − | 24350.4i | −0.496502 | − | 0.859967i | 0.503490 | − | 0.864001i | ||
−0.999992 | + | 0.00403418i | ||||||||
0 | 0 | |||||||||
260.516 | − | 451.228i | 0.00917087 | − | 0.0158844i | |||||
−2673.56 | + | 4630.74i | −0.0939650 | + | 0.162752i | |||||
0 | 0 | |||||||||
−6906.52 | − | 11962.4i | −0.241957 | − | 0.419083i | |||||
−30916.1 | −1.08135 | |||||||||
0 | 0 | |||||||||
31859.0 | 1.11077 | 0.555384 | − | 0.831594i | ||||||
0.555384 | + | 0.831594i | ||||||||
−12232.2 | − | 21186.7i | −0.425793 | − | 0.737495i | |||||
0 | 0 | |||||||||
8488.06 | − | 14701.8i | 0.294521 | − | 0.510126i | |||||
1131.57 | − | 1959.93i | 0.0392009 | − | 0.0678980i | −0.845759 | − | 0.533565i | ||
0.884960 | + | 0.465667i | ||||||||
0 | 0 | |||||||||
4590.04 | + | 7950.19i | 0.158507 | + | 0.274543i | |||||
−5403.57 | −0.186304 | |||||||||
0 | 0 | |||||||||
15799.7 | 0.543016 | |||||||||
3492.67 | + | 6049.48i | 0.119848 | + | 0.207583i | 0.919707 | − | 0.392604i | ||
−0.799859 | + | 0.600188i | ||||||||
0 | 0 | |||||||||
−2500.87 | + | 4331.63i | −0.0855444 | + | 0.148167i | |||||
−39.0328 | + | 67.6068i | −0.00133304 | + | 0.00230890i | |||||
0 | 0 | |||||||||
−8619.20 | − | 14928.9i | −0.293435 | − | 0.508244i | |||||
26436.8 | 0.898608 | 0.449304 | − | 0.893379i | ||||||
0.449304 | + | 0.893379i | ||||||||
0 | 0 | |||||||||
8646.53 | 0.292979 | |||||||||
13757.3 | + | 23828.3i | 0.465420 | + | 0.806131i | |||||
0 | 0 | |||||||||
−7380.27 | + | 12783.0i | −0.248900 | + | 0.431107i | |||||
−24120.2 | + | 41777.4i | −0.812181 | + | 1.40674i | |||||
0 | 0 | |||||||||
−33484.1 | − | 57996.2i | −1.12397 | − | 1.94677i | |||||
27993.7 | 0.938206 | |||||||||
0 | 0 | |||||||||
6125.17 | 0.204646 | |||||||||
−20448.0 | − | 35416.9i | −0.682117 | − | 1.18146i | |||||
0 | 0 | |||||||||
50.0781 | − | 86.7379i | 0.00166536 | − | 0.00288449i | −0.865192 | − | 0.501442i | ||
0.866857 | + | 0.498557i | ||||||||
3101.97 | − | 5372.77i | 0.102997 | − | 0.178396i | |||||
0 | 0 | |||||||||
7534.84 | + | 13050.7i | 0.249411 | + | 0.431993i | |||||
678.145 | 0.0224127 | 0.0112063 | − | 0.999937i | ||||||
0.0112063 | + | 0.999937i | ||||||||
0 | 0 | |||||||||
−11560.8 | −0.380908 | |||||||||
8756.51 | + | 15166.7i | 0.288066 | + | 0.498945i | |||||
0 | 0 | |||||||||
−2219.75 | + | 3844.73i | −0.0727998 | + | 0.126093i | |||||
4874.13 | − | 8442.24i | 0.159608 | − | 0.276449i | −0.775119 | − | 0.631815i | ||
0.934727 | + | 0.355366i | ||||||||
0 | 0 | |||||||||
9975.17 | + | 17277.5i | 0.325646 | + | 0.564036i | |||||
−211.523 | −0.00689476 | |||||||||
0 | 0 | |||||||||
23675.9 | 0.769376 | |||||||||
1757.84 | + | 3044.67i | 0.0570361 | + | 0.0987894i | 0.893134 | − | 0.449791i | ||
−0.836098 | + | 0.548581i | ||||||||
0 | 0 | |||||||||
−14820.4 | + | 25669.6i | −0.479407 | + | 0.830358i | |||||
−23240.9 | + | 40254.5i | −0.750651 | + | 1.30017i | |||||
0 | 0 | |||||||||
14946.9 | + | 25888.8i | 0.481299 | + | 0.833635i | |||||
−23199.4 | −0.745903 | |||||||||
0 | 0 | |||||||||
−612.517 | −0.0196339 | −0.00981697 | − | 0.999952i | ||||||
−0.00981697 | + | 0.999952i | ||||||||
4976.98 | + | 8620.39i | 0.159294 | + | 0.275905i | |||||
0 | 0 | |||||||||
9719.06 | − | 16833.9i | 0.310131 | − | 0.537162i | |||||
−8230.38 | + | 14255.4i | −0.262232 | + | 0.454198i | |||||
0 | 0 | |||||||||
−11478.2 | − | 19880.8i | −0.364611 | − | 0.631525i | 0.624102 | − | 0.781343i | ||
−0.988714 | + | 0.149817i | ||||||||
17156.8 | 0.544176 | |||||||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 162.4.c.i.109.1 | 4 | ||
3.2 | odd | 2 | 162.4.c.j.109.2 | 4 | |||
9.2 | odd | 6 | 162.4.c.j.55.2 | 4 | |||
9.4 | even | 3 | 162.4.a.h.1.2 | yes | 2 | ||
9.5 | odd | 6 | 162.4.a.e.1.1 | ✓ | 2 | ||
9.7 | even | 3 | inner | 162.4.c.i.55.1 | 4 | ||
36.23 | even | 6 | 1296.4.a.j.1.1 | 2 | |||
36.31 | odd | 6 | 1296.4.a.s.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.4.a.e.1.1 | ✓ | 2 | 9.5 | odd | 6 | ||
162.4.a.h.1.2 | yes | 2 | 9.4 | even | 3 | ||
162.4.c.i.55.1 | 4 | 9.7 | even | 3 | inner | ||
162.4.c.i.109.1 | 4 | 1.1 | even | 1 | trivial | ||
162.4.c.j.55.2 | 4 | 9.2 | odd | 6 | |||
162.4.c.j.109.2 | 4 | 3.2 | odd | 2 | |||
1296.4.a.j.1.1 | 2 | 36.23 | even | 6 | |||
1296.4.a.s.1.2 | 2 | 36.31 | odd | 6 |