Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [39,3,Mod(31,39)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(39, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("39.31");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 39.g (of order , degree , minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | |
Analytic rank: | |
Dimension: | |
Relative dimension: | over |
Coefficient field: | 8.0.1579585536.10 |
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 | 34.2 | ||
Root | of defining polynomial | ||
Character | 39.34 | ||
Dual form | 39.3.g.a.31.2 |
-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 .
−0.676424 | − | 0.676424i | −0.338212 | − | 0.338212i | 0.517482 | − | 0.855694i | ||
−0.855694 | + | 0.517482i | ||||||||
1.73205 | 0.577350 | |||||||||
− | 3.08490i | − | 0.771225i | |||||||
1.58008 | + | 1.58008i | 0.316015 | + | 0.316015i | 0.847234 | − | 0.531219i | ||
−0.531219 | + | 0.847234i | ||||||||
−1.17160 | − | 1.17160i | −0.195267 | − | 0.195267i | |||||
3.96400 | − | 3.96400i | 0.566286 | − | 0.566286i | −0.364800 | − | 0.931086i | ||
0.931086 | + | 0.364800i | ||||||||
−4.79240 | + | 4.79240i | −0.599050 | + | 0.599050i | |||||
3.00000 | 0.333333 | |||||||||
− | 2.13761i | − | 0.213761i | |||||||
−10.0345 | + | 10.0345i | −0.912230 | + | 0.912230i | −0.996447 | − | 0.0842172i | ||
0.0842172 | + | 0.996447i | ||||||||
− | 5.34320i | − | 0.445267i | |||||||
−5.41846 | + | 11.8170i | −0.416804 | + | 0.908996i | |||||
−5.36270 | −0.383050 | |||||||||
2.73677 | + | 2.73677i | 0.182452 | + | 0.182452i | |||||
−5.85621 | −0.366013 | |||||||||
6.40175i | 0.376574i | 0.982114 | + | 0.188287i | ||||||
−0.982114 | + | 0.188287i | ||||||||
−2.02927 | − | 2.02927i | −0.112737 | − | 0.112737i | |||||
7.73551 | + | 7.73551i | 0.407132 | + | 0.407132i | 0.880737 | − | 0.473605i | ||
−0.473605 | + | 0.880737i | ||||||||
4.87438 | − | 4.87438i | 0.243719 | − | 0.243719i | |||||
6.86585 | − | 6.86585i | 0.326945 | − | 0.326945i | |||||
13.5752 | 0.617055 | |||||||||
− | 34.8297i | − | 1.51434i | −0.653221 | − | 0.757168i | ||||
0.653221 | − | 0.757168i | ||||||||
−8.30068 | + | 8.30068i | −0.345862 | + | 0.345862i | |||||
− | 20.0067i | − | 0.800269i | |||||||
11.6585 | − | 4.32810i | 0.448402 | − | 0.166465i | |||||
5.19615 | 0.192450 | |||||||||
−12.2285 | − | 12.2285i | −0.436734 | − | 0.436734i | |||||
8.25124 | 0.284526 | 0.142263 | − | 0.989829i | ||||||
0.142263 | + | 0.989829i | ||||||||
− | 3.70244i | − | 0.123415i | |||||||
13.8633 | + | 13.8633i | 0.447202 | + | 0.447202i | 0.894423 | − | 0.447221i | ||
−0.447221 | + | 0.894423i | ||||||||
23.1309 | + | 23.1309i | 0.722840 | + | 0.722840i | |||||
−17.3803 | + | 17.3803i | −0.526676 | + | 0.526676i | |||||
4.33030 | − | 4.33030i | 0.127362 | − | 0.127362i | |||||
12.5269 | 0.357910 | |||||||||
− | 9.25470i | − | 0.257075i | |||||||
−37.2522 | + | 37.2522i | −1.00682 | + | 1.00682i | −0.00683875 | + | 0.999977i | ||
−0.999977 | + | 0.00683875i | ||||||||
− | 10.4650i | − | 0.275394i | |||||||
−9.38504 | + | 20.4676i | −0.240642 | + | 0.524809i | |||||
−15.1447 | −0.378618 | |||||||||
−28.7020 | − | 28.7020i | −0.700050 | − | 0.700050i | 0.264371 | − | 0.964421i | ||
−0.964421 | + | 0.264371i | ||||||||
−9.28846 | −0.221154 | |||||||||
− | 42.7195i | − | 0.993477i | −0.867900 | − | 0.496739i | ||||
0.867900 | − | 0.496739i | ||||||||
30.9555 | + | 30.9555i | 0.703535 | + | 0.703535i | |||||
4.74023 | + | 4.74023i | 0.105338 | + | 0.105338i | |||||
−23.5597 | + | 23.5597i | −0.512167 | + | 0.512167i | |||||
37.5964 | − | 37.5964i | 0.799924 | − | 0.799924i | −0.183159 | − | 0.983083i | ||
0.983083 | + | 0.183159i | ||||||||
−10.1432 | −0.211318 | |||||||||
17.5734i | 0.358641i | |||||||||
−13.5330 | + | 13.5330i | −0.270661 | + | 0.270661i | |||||
11.0882i | 0.217415i | |||||||||
36.4541 | + | 16.7154i | 0.701041 | + | 0.321450i | |||||
−96.7934 | −1.82629 | −0.913145 | − | 0.407635i | ||||||
−0.913145 | + | 0.407635i | ||||||||
−3.51480 | − | 3.51480i | −0.0650890 | − | 0.0650890i | |||||
−31.7107 | −0.576558 | |||||||||
37.9942i | 0.678467i | |||||||||
13.3983 | + | 13.3983i | 0.235058 | + | 0.235058i | |||||
−5.58134 | − | 5.58134i | −0.0962300 | − | 0.0962300i | |||||
37.8935 | − | 37.8935i | 0.642262 | − | 0.642262i | −0.308849 | − | 0.951111i | ||
0.951111 | + | 0.308849i | ||||||||
8.44267 | − | 8.44267i | 0.140711 | − | 0.140711i | |||||
91.2864 | 1.49650 | 0.748249 | − | 0.663418i | ||||||
0.748249 | + | 0.663418i | ||||||||
− | 18.7549i | − | 0.302499i | |||||||
11.8920 | − | 11.8920i | 0.188762 | − | 0.188762i | |||||
− | 7.86776i | − | 0.122934i | |||||||
−27.2333 | + | 10.1101i | −0.418973 | + | 0.155540i | |||||
23.5129 | 0.356257 | |||||||||
−42.4500 | − | 42.4500i | −0.633581 | − | 0.633581i | 0.315383 | − | 0.948964i | ||
−0.948964 | + | 0.315383i | ||||||||
19.7488 | 0.290423 | |||||||||
− | 60.3268i | − | 0.874302i | |||||||
−8.47347 | − | 8.47347i | −0.121050 | − | 0.121050i | |||||
29.8579 | + | 29.8579i | 0.420534 | + | 0.420534i | 0.885388 | − | 0.464853i | ||
−0.464853 | + | 0.885388i | ||||||||
−14.3772 | + | 14.3772i | −0.199683 | + | 0.199683i | |||||
−10.9949 | + | 10.9949i | −0.150615 | + | 0.150615i | −0.778393 | − | 0.627777i | ||
0.627777 | + | 0.778393i | ||||||||
50.3966 | 0.681035 | |||||||||
− | 34.6526i | − | 0.462035i | |||||||
23.8633 | − | 23.8633i | 0.313990 | − | 0.313990i | |||||
79.5538i | 1.03317i | |||||||||
20.1930 | − | 7.49649i | 0.258885 | − | 0.0961088i | |||||
102.031 | 1.29153 | 0.645764 | − | 0.763537i | ||||||
0.645764 | + | 0.763537i | ||||||||
−9.25326 | − | 9.25326i | −0.115666 | − | 0.115666i | |||||
9.00000 | 0.111111 | |||||||||
38.8295i | 0.473531i | |||||||||
−85.2758 | − | 85.2758i | −1.02742 | − | 1.02742i | −0.999613 | − | 0.0278064i | ||
−0.0278064 | − | 0.999613i | ||||||||
−21.1805 | − | 21.1805i | −0.252148 | − | 0.252148i | |||||
−10.1153 | + | 10.1153i | −0.119003 | + | 0.119003i | |||||
−28.8965 | + | 28.8965i | −0.336006 | + | 0.336006i | |||||
14.2916 | 0.164271 | |||||||||
− | 96.1790i | − | 1.09294i | |||||||
−63.8510 | + | 63.8510i | −0.717427 | + | 0.717427i | −0.968078 | − | 0.250651i | ||
0.250651 | + | 0.968078i | ||||||||
− | 6.41282i | − | 0.0712535i | |||||||
25.3636 | + | 68.3212i | 0.278721 | + | 0.750782i | |||||
−107.446 | −1.16789 | |||||||||
24.0119 | + | 24.0119i | 0.258192 | + | 0.258192i | |||||
−50.8623 | −0.541088 | |||||||||
24.4454i | 0.257320i | |||||||||
40.0639 | + | 40.0639i | 0.417332 | + | 0.417332i | |||||
−58.7023 | − | 58.7023i | −0.605178 | − | 0.605178i | 0.336504 | − | 0.941682i | ||
−0.941682 | + | 0.336504i | ||||||||
11.8871 | − | 11.8871i | 0.121297 | − | 0.121297i | |||||
−30.1036 | + | 30.1036i | −0.304077 | + | 0.304077i | |||||
−61.7187 | −0.617187 | |||||||||
130.126i | 1.28837i | 0.764869 | + | 0.644186i | ||||||
−0.764869 | + | 0.644186i | ||||||||
7.50030 | − | 7.50030i | 0.0735324 | − | 0.0735324i | |||||
27.9217i | 0.271085i | 0.990772 | + | 0.135542i | ||||||
−0.990772 | + | 0.135542i | ||||||||
−30.6641 | − | 82.5990i | −0.294847 | − | 0.794221i | |||||
21.6971 | 0.206640 | |||||||||
65.4734 | + | 65.4734i | 0.617674 | + | 0.617674i | |||||
166.168 | 1.55297 | 0.776486 | − | 0.630134i | ||||||
0.776486 | + | 0.630134i | ||||||||
− | 16.0296i | − | 0.148422i | |||||||
−4.56393 | − | 4.56393i | −0.0418709 | − | 0.0418709i | 0.685861 | − | 0.727732i | ||
−0.727732 | + | 0.685861i | ||||||||
21.4499 | + | 21.4499i | 0.194999 | + | 0.194999i | |||||
−64.5226 | + | 64.5226i | −0.581285 | + | 0.581285i | |||||
−23.2140 | + | 23.2140i | −0.207268 | + | 0.207268i | |||||
−60.7525 | −0.537633 | −0.268817 | − | 0.963191i | ||||||
−0.268817 | + | 0.963191i | ||||||||
− | 18.1259i | − | 0.158999i | |||||||
55.0336 | − | 55.0336i | 0.478553 | − | 0.478553i | |||||
− | 25.4543i | − | 0.219433i | |||||||
−16.2554 | + | 35.4509i | −0.138935 | + | 0.302999i | |||||
−51.2641 | −0.434442 | |||||||||
25.3765 | + | 25.3765i | 0.213248 | + | 0.213248i | |||||
−26.2314 | −0.218595 | |||||||||
− | 80.3837i | − | 0.664328i | |||||||
−61.7484 | − | 61.7484i | −0.506134 | − | 0.506134i | |||||
−49.7134 | − | 49.7134i | −0.404174 | − | 0.404174i | |||||
42.7668 | − | 42.7668i | 0.344893 | − | 0.344893i | |||||
71.1141 | − | 71.1141i | 0.568913 | − | 0.568913i | |||||
−16.0881 | −0.127683 | |||||||||
130.207i | 1.02525i | 0.858613 | + | 0.512624i | ||||||
−0.858613 | + | 0.512624i | ||||||||
87.2016 | − | 87.2016i | 0.681262 | − | 0.681262i | |||||
− | 73.9924i | − | 0.573584i | |||||||
25.2600 | + | 11.5825i | 0.194308 | + | 0.0890963i | |||||
135.531 | 1.03459 | 0.517293 | − | 0.855809i | ||||||
0.517293 | + | 0.855809i | ||||||||
53.6165 | + | 53.6165i | 0.406186 | + | 0.406186i | |||||
61.3271 | 0.461106 | |||||||||
57.4284i | 0.428570i | |||||||||
8.21032 | + | 8.21032i | 0.0608172 | + | 0.0608172i | |||||
−30.6797 | − | 30.6797i | −0.225586 | − | 0.225586i | |||||
135.519 | − | 135.519i | 0.989190 | − | 0.989190i | −0.0107526 | − | 0.999942i | ||
0.999942 | + | 0.0107526i | ||||||||
−40.8065 | + | 40.8065i | −0.295700 | + | 0.295700i | |||||
−244.006 | −1.75544 | −0.877720 | − | 0.479174i | ||||||
−0.877720 | + | 0.479174i | ||||||||
− | 38.6441i | − | 0.276029i | |||||||
65.1189 | − | 65.1189i | 0.461836 | − | 0.461836i | |||||
− | 40.3933i | − | 0.284460i | |||||||
−64.2059 | − | 172.949i | −0.448992 | − | 1.20944i | |||||
−17.5686 | −0.122004 | |||||||||
13.0376 | + | 13.0376i | 0.0899145 | + | 0.0899145i | |||||
14.8745 | 0.101880 | |||||||||
30.4380i | 0.207061i | |||||||||
114.919 | + | 114.919i | 0.776481 | + | 0.776481i | |||||
174.887 | + | 174.887i | 1.17374 | + | 1.17374i | 0.981312 | + | 0.192425i | ||
0.192425 | + | 0.981312i | ||||||||
−23.4399 | + | 23.4399i | −0.156266 | + | 0.156266i | |||||
−38.1095 | + | 38.1095i | −0.252381 | + | 0.252381i | −0.821946 | − | 0.569565i | ||
0.569565 | + | 0.821946i | ||||||||
−74.1433 | −0.487785 | |||||||||
19.2053i | 0.125525i | |||||||||
53.8121 | − | 53.8121i | 0.349429 | − | 0.349429i | |||||
43.8101i | 0.282646i | |||||||||
63.1404 | + | 28.9519i | 0.404746 | + | 0.185589i | |||||
150.359 | 0.957699 | 0.478849 | − | 0.877897i | ||||||
0.478849 | + | 0.877897i | ||||||||
−69.0161 | − | 69.0161i | −0.436810 | − | 0.436810i | |||||
−167.651 | −1.05441 | |||||||||
73.0971i | 0.456857i | |||||||||
−138.065 | − | 138.065i | −0.857547 | − | 0.857547i | |||||
−6.08782 | − | 6.08782i | −0.0375791 | − | 0.0375791i | |||||
−167.544 | + | 167.544i | −1.02788 | + | 1.02788i | −0.0282759 | + | 0.999600i | ||
−0.999600 | + | 0.0282759i | ||||||||
−88.5429 | + | 88.5429i | −0.539896 | + | 0.539896i | |||||
−54.9245 | −0.332876 | |||||||||
115.365i | 0.694972i | |||||||||
−33.7608 | + | 33.7608i | −0.202160 | + | 0.202160i | −0.800925 | − | 0.598765i | ||
0.598765 | + | 0.800925i | ||||||||
65.8078i | 0.391713i | |||||||||
−110.281 | − | 128.059i | −0.652548 | − | 0.757747i | |||||
13.6844 | 0.0804966 | |||||||||
23.2065 | + | 23.2065i | 0.135711 | + | 0.135711i | |||||
−131.785 | −0.766195 | |||||||||
150.230i | 0.868383i | 0.900821 | + | 0.434191i | ||||||
−0.900821 | + | 0.434191i | ||||||||
−9.66717 | − | 9.66717i | −0.0555584 | − | 0.0555584i | |||||
−79.3066 | − | 79.3066i | −0.453181 | − | 0.453181i | |||||
58.7643 | − | 58.7643i | 0.333888 | − | 0.333888i | |||||
65.6334 | − | 65.6334i | 0.370810 | − | 0.370810i | |||||
86.3808 | 0.485285 | |||||||||
247.106i | 1.38048i | 0.723582 | + | 0.690239i | ||||||
−0.723582 | + | 0.690239i | ||||||||
14.6231 | − | 14.6231i | 0.0812396 | − | 0.0812396i | |||||
− | 111.674i | − | 0.616986i | −0.951227 | − | 0.308493i | ||||
0.951227 | − | 0.308493i | ||||||||
29.0575 | − | 63.3707i | 0.159657 | − | 0.348191i | |||||
158.113 | 0.864004 | |||||||||
166.918 | + | 166.918i | 0.907162 | + | 0.907162i | |||||
−117.723 | −0.636338 | |||||||||
− | 32.4845i | − | 0.174648i | |||||||
−64.2386 | − | 64.2386i | −0.343522 | − | 0.343522i | |||||
−115.981 | − | 115.981i | −0.616921 | − | 0.616921i | |||||
20.5976 | − | 20.5976i | 0.108982 | − | 0.108982i | |||||
16.5355 | − | 16.5355i | 0.0870288 | − | 0.0870288i | |||||
−64.6991 | −0.338739 | −0.169369 | − | 0.985553i | ||||||
−0.169369 | + | 0.985553i | ||||||||
− | 13.6274i | − | 0.0709759i | |||||||
97.0986 | − | 97.0986i | 0.503102 | − | 0.503102i | −0.409299 | − | 0.912400i | ||
0.912400 | + | 0.409299i | ||||||||
79.4153i | 0.409357i | |||||||||
−47.1694 | + | 17.5112i | −0.241894 | + | 0.0898012i | |||||
54.2121 | 0.276593 | |||||||||
48.8725 | + | 48.8725i | 0.248084 | + | 0.248084i | 0.820184 | − | 0.572100i | ||
−0.572100 | + | 0.820184i | ||||||||
40.7256 | 0.205685 | |||||||||
− | 139.570i | − | 0.701358i | −0.936496 | − | 0.350679i | ||||
0.936496 | − | 0.350679i | ||||||||
95.8802 | + | 95.8802i | 0.479401 | + | 0.479401i | |||||
−73.5255 | − | 73.5255i | −0.365798 | − | 0.365798i | |||||
88.0201 | − | 88.0201i | 0.435743 | − | 0.435743i | |||||
32.7079 | − | 32.7079i | 0.161123 | − | 0.161123i | |||||
34.2059 | 0.167676 | |||||||||
− | 90.7029i | − | 0.442453i | |||||||
18.8869 | − | 18.8869i | 0.0916842 | − | 0.0916842i | |||||
− | 104.489i | − | 0.504778i | |||||||
31.7316 | − | 69.2025i | 0.152556 | − | 0.332704i | |||||
−155.244 | −0.742796 | |||||||||
−14.6765 | − | 14.6765i | −0.0698880 | − | 0.0698880i | |||||
52.9556 | 0.250975 | 0.125487 | − | 0.992095i | ||||||
0.125487 | + | 0.992095i | ||||||||
298.598i | 1.40848i | |||||||||
51.7154 | + | 51.7154i | 0.242796 | + | 0.242796i | |||||
−112.400 | − | 112.400i | −0.525234 | − | 0.525234i | |||||
67.5001 | − | 67.5001i | 0.313954 | − | 0.313954i | |||||
−24.9020 | + | 24.9020i | −0.115287 | + | 0.115287i | |||||
109.908 | 0.506489 | |||||||||
6.17430i | 0.0283225i | |||||||||
−19.0438 | + | 19.0438i | −0.0869578 | + | 0.0869578i | |||||
97.8242i | 0.444656i | |||||||||
−75.6492 | − | 34.6876i | −0.342304 | − | 0.156958i | |||||
87.2894 | 0.393195 | |||||||||
70.4483 | + | 70.4483i | 0.315912 | + | 0.315912i | 0.847195 | − | 0.531283i | ||
−0.531283 | + | 0.847195i | ||||||||
183.382 | 0.818668 | |||||||||
− | 60.0201i | − | 0.266756i | |||||||
41.0945 | + | 41.0945i | 0.181834 | + | 0.181834i | |||||
−95.0195 | − | 95.0195i | −0.418588 | − | 0.418588i | 0.466129 | − | 0.884717i | ||
−0.884717 | + | 0.466129i | ||||||||
41.3324 | − | 41.3324i | 0.181282 | − | 0.181282i | |||||
66.9011 | − | 66.9011i | 0.292144 | − | 0.292144i | −0.545782 | − | 0.837927i | ||
0.837927 | + | 0.545782i | ||||||||
−74.4522 | −0.323705 | |||||||||
137.791i | 0.596499i | |||||||||
−39.5433 | + | 39.5433i | −0.170445 | + | 0.170445i | |||||
81.9200i | 0.351588i | 0.984427 | + | 0.175794i | ||||||
−0.984427 | + | 0.175794i | ||||||||
34.9754 | − | 12.9843i | 0.149467 | − | 0.0554884i | |||||
118.811 | 0.505577 | |||||||||
−116.898 | − | 116.898i | −0.495329 | − | 0.495329i | |||||
176.722 | 0.745664 | |||||||||
− | 34.3306i | − | 0.144246i | |||||||
5.12005 | + | 5.12005i | 0.0214228 | + | 0.0214228i | 0.717737 | − | 0.696314i | ||
−0.696314 | + | 0.717737i | ||||||||
−16.0271 | − | 16.0271i | −0.0667796 | − | 0.0667796i | |||||
−152.203 | + | 152.203i | −0.631546 | + | 0.631546i | −0.948456 | − | 0.316910i | ||
0.316910 | + | 0.948456i | ||||||||
−54.3735 | + | 54.3735i | −0.224684 | + | 0.224684i | |||||
15.5885 | 0.0641500 | |||||||||
− | 281.609i | − | 1.15414i | |||||||
−27.7673 | + | 27.7673i | −0.113336 | + | 0.113336i | |||||
67.2547i | 0.273393i | |||||||||
−133.325 | + | 49.4956i | −0.539776 | + | 0.200387i | |||||
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−147.702 | − | 147.702i | −0.593181 | − | 0.593181i | |||||
−96.2066 | −0.384826 | |||||||||
− | 221.877i | − | 0.883974i | −0.897022 | − | 0.441987i | ||||
0.897022 | − | 0.441987i | ||||||||
−36.6856 | − | 36.6856i | −0.145578 | − | 0.145578i | |||||
349.500 | + | 349.500i | 1.38142 | + | 1.38142i | |||||
88.0749 | − | 88.0749i | 0.346751 | − | 0.346751i | |||||
−17.5201 | + | 17.5201i | −0.0687064 | + | 0.0687064i | |||||
−149.442 | −0.583756 | |||||||||
− | 15.0363i | − | 0.0585068i | −0.999572 | − | 0.0292534i | ||||
0.999572 | − | 0.0292534i | ||||||||
−50.0503 | + | 50.0503i | −0.193993 | + | 0.193993i | |||||
295.335i | 1.14029i | |||||||||
31.1887 | + | 84.0119i | 0.119956 | + | 0.323123i | |||||
24.7537 | 0.0948419 | |||||||||
−91.6763 | − | 91.6763i | −0.349909 | − | 0.349909i | |||||
−105.723 | −0.401990 | −0.200995 | − | 0.979592i | ||||||
−0.200995 | + | 0.979592i | ||||||||
− | 166.587i | − | 0.631011i | |||||||
−152.941 | − | 152.941i | −0.577136 | − | 0.577136i | |||||
−41.4832 | − | 41.4832i | −0.155952 | − | 0.155952i | |||||
−110.593 | + | 110.593i | −0.414207 | + | 0.414207i | |||||
−130.954 | + | 130.954i | −0.488634 | + | 0.488634i | |||||
168.740 | 0.627286 | 0.313643 | − | 0.949541i | ||||||
0.313643 | + | 0.949541i | ||||||||
− | 11.1073i | − | 0.0411382i | |||||||
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0.603622 | + | 0.797271i | ||||||||
− | 37.4900i | − | 0.137831i | |||||||
43.9311 | + | 118.336i | 0.160920 | + | 0.433464i | |||||
−183.337 | −0.669112 | |||||||||
200.758 | + | 200.758i | 0.730029 | + | 0.730029i | |||||
−186.102 | −0.674283 | |||||||||
153.018i | 0.552412i | 0.961098 | + | 0.276206i | ||||||
−0.961098 | + | 0.276206i | ||||||||
165.052 | + | 165.052i | 0.593711 | + | 0.593711i | |||||
41.5898 | + | 41.5898i | 0.149067 | + | 0.149067i | |||||
−60.0337 | + | 60.0337i | −0.214406 | + | 0.214406i | |||||
37.8887 | − | 37.8887i | 0.134835 | − | 0.134835i | −0.636468 | − | 0.771303i | ||
0.771303 | + | 0.636468i | ||||||||
−88.0961 | −0.312397 | |||||||||
− | 34.7222i | − | 0.122693i | −0.998117 | − | 0.0613467i | ||||
0.998117 | − | 0.0613467i | ||||||||
92.1087 | − | 92.1087i | 0.324326 | − | 0.324326i | |||||
42.3407i | 0.148564i | |||||||||
−73.5567 | + | 160.418i | −0.257191 | + | 0.560901i | |||||
−227.550 | −0.792857 | |||||||||
69.3926 | + | 69.3926i | 0.240947 | + | 0.240947i | |||||
248.018 | 0.858192 | |||||||||
− | 17.6379i | − | 0.0608203i | |||||||
−101.675 | − | 101.675i | −0.349400 | − | 0.349400i | |||||
33.9182 | + | 33.9182i | 0.116158 | + | 0.116158i | |||||
54.4668 | − | 54.4668i | 0.185894 | − | 0.185894i | −0.608025 | − | 0.793918i | ||
0.793918 | + | 0.608025i | ||||||||
20.5890 | − | 20.5890i | 0.0700306 | − | 0.0700306i | |||||
119.749 | 0.405929 | |||||||||
− | 357.055i | − | 1.20627i | |||||||
−52.1410 | + | 52.1410i | −0.175559 | + | 0.175559i | |||||
− | 236.595i | − | 0.793944i | |||||||
411.581 | + | 188.723i | 1.37652 | + | 0.631182i | |||||
−106.900 | −0.356333 | |||||||||
−169.340 | − | 169.340i | −0.562592 | − | 0.562592i | |||||
51.5565 | 0.170717 | |||||||||
225.384i | 0.743842i | |||||||||
−45.3007 | − | 45.3007i | −0.149016 | − | 0.149016i | |||||
144.240 | + | 144.240i | 0.472916 | + | 0.472916i | |||||
12.9909 | − | 12.9909i | 0.0424539 | − | 0.0424539i | |||||
223.385 | − | 223.385i | 0.727639 | − | 0.727639i | −0.242510 | − | 0.970149i | ||
0.970149 | + | 0.242510i | ||||||||
245.416 | 0.796804 | |||||||||
48.3619i | 0.156511i | |||||||||
29.6342 | − | 29.6342i | 0.0955942 | − | 0.0955942i | |||||
− | 516.479i | − | 1.66070i | −0.557240 | − | 0.830352i | ||||
0.557240 | − | 0.830352i | ||||||||
−53.1118 | − | 143.066i | −0.170230 | − | 0.458544i | |||||
−149.235 | −0.476788 | −0.238394 | − | 0.971169i | ||||||
−0.238394 | + | 0.971169i | ||||||||
−101.706 | − | 101.706i | −0.323905 | − | 0.323905i | |||||
37.5806 | 0.119303 | |||||||||
− | 314.754i | − | 0.996058i | |||||||
−188.163 | − | 188.163i | −0.593574 | − | 0.593574i | 0.345021 | − | 0.938595i | ||
−0.938595 | + | 0.345021i | ||||||||
113.403 | + | 113.403i | 0.356614 | + | 0.356614i | |||||
−82.7974 | + | 82.7974i | −0.259553 | + | 0.259553i | |||||
12.4317 | − | 12.4317i | 0.0388490 | − | 0.0388490i | |||||
287.811 | 0.896609 | |||||||||
186.781i | 0.580066i | |||||||||
−49.5208 | + | 49.5208i | −0.153315 | + | 0.153315i | |||||
− | 27.7641i | − | 0.0856917i | |||||||
236.418 | + | 108.406i | 0.727441 | + | 0.333555i | |||||
226.661 | 0.695281 | |||||||||
−7.90495 | − | 7.90495i | −0.0241742 | − | 0.0241742i | |||||
275.103 | 0.838730 | |||||||||
− | 298.065i | − | 0.905972i | |||||||
37.1523 | + | 37.1523i | 0.112583 | + | 0.112583i | |||||
−133.749 | − | 133.749i | −0.404074 | − | 0.404074i | 0.475592 | − | 0.879666i | ||
−0.879666 | + | 0.475592i | ||||||||
−263.067 | + | 263.067i | −0.792372 | + | 0.792372i | |||||
−111.757 | + | 111.757i | −0.335605 | + | 0.335605i | |||||
45.6732 | 0.136746 | |||||||||
− | 134.148i | − | 0.400443i | |||||||
−40.2078 | + | 40.2078i | −0.119666 | + | 0.119666i | |||||
− | 202.419i | − | 0.600651i | −0.953837 | − | 0.300325i | ||||
0.953837 | − | 0.300325i | ||||||||
−12.0259 | + | 161.219i | −0.0355796 | + | 0.476979i | |||||
−105.226 | −0.310403 | |||||||||
31.2046 | + | 31.2046i | 0.0917781 | + | 0.0917781i | |||||
−278.223 | −0.815903 | |||||||||
− | 31.3949i | − | 0.0917980i | |||||||
263.897 | + | 263.897i | 0.769379 | + | 0.769379i | |||||
204.729 | + | 204.729i | 0.595143 | + | 0.595143i | |||||
95.3210 | − | 95.3210i | 0.276293 | − | 0.276293i | |||||
101.619 | − | 101.619i | 0.293698 | − | 0.293698i | |||||
190.870 | 0.550059 | 0.275029 | − | 0.961436i | ||||||
0.275029 | + | 0.961436i | ||||||||
− | 44.0881i | − | 0.126690i | |||||||
−472.034 | + | 472.034i | −1.35253 | + | 1.35253i | −0.469713 | + | 0.882819i | ||
−0.882819 | + | 0.469713i | ||||||||
107.290i | 0.306543i | |||||||||
−28.1551 | + | 61.4027i | −0.0802140 | + | 0.174936i | |||||
−464.215 | −1.31879 | |||||||||
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−0.989581 | + | 0.143975i | ||||||||
−88.7921 | −0.250825 | |||||||||
94.3556i | 0.265791i | |||||||||
196.974 | + | 196.974i | 0.553298 | + | 0.553298i | |||||
43.9535 | + | 43.9535i | 0.123119 | + | 0.123119i | |||||
167.148 | − | 167.148i | 0.466894 | − | 0.466894i | |||||
−86.3614 | + | 86.3614i | −0.240561 | + | 0.240561i | −0.817082 | − | 0.576521i | ||
0.576521 | + | 0.817082i | ||||||||
−45.4342 | −0.126206 | |||||||||
− | 241.324i | − | 0.668487i | |||||||
−75.5394 | + | 75.5394i | −0.208672 | + | 0.208672i | |||||
− | 139.229i | − | 0.383550i | |||||||
210.764 | − | 78.2443i | 0.579022 | − | 0.214957i | |||||
−34.7456 | −0.0951935 | |||||||||
−106.951 | − | 106.951i | −0.292217 | − | 0.292217i | |||||
−54.1950 | −0.147670 | −0.0738352 | − | 0.997270i | ||||||
−0.0738352 | + | 0.997270i | ||||||||
203.970i | 0.554266i | |||||||||
−86.1061 | − | 86.1061i | −0.233350 | − | 0.233350i | |||||
79.6304 | + | 79.6304i | 0.215217 | + | 0.215217i | |||||
−383.689 | + | 383.689i | −1.03420 | + | 1.03420i | |||||
74.0743 | − | 74.0743i | 0.199124 | − | 0.199124i | |||||
−17.9362 | −0.0480862 | −0.0240431 | − | 0.999711i | ||||||
−0.0240431 | + | 0.999711i | ||||||||
86.9051i | 0.232367i | |||||||||
123.173 | − | 123.173i | 0.328462 | − | 0.328462i | |||||
360.354i | 0.958389i | |||||||||
−44.7090 | + | 97.5045i | −0.118592 | + | 0.258633i | |||||
−27.8654 | −0.0737179 | |||||||||
−281.565 | − | 281.565i | −0.742916 | − | 0.742916i | 0.230222 | − | 0.973138i | ||
−0.973138 | + | 0.230222i | ||||||||
75.4116 | 0.198452 | |||||||||
225.524i | 0.591927i | |||||||||
43.7641 | + | 43.7641i | 0.114566 | + | 0.114566i | |||||
−244.827 | − | 244.827i | −0.639236 | − | 0.639236i | 0.311131 | − | 0.950367i | ||
−0.950367 | + | 0.311131i | ||||||||
151.038 | − | 151.038i | 0.393327 | − | 0.393327i | |||||
−125.701 | + | 125.701i | −0.326496 | + | 0.326496i | |||||
−131.360 | −0.340310 | |||||||||
− | 128.159i | − | 0.331159i | |||||||
−181.091 | + | 181.091i | −0.466728 | + | 0.466728i | |||||
582.261i | 1.49681i | 0.663240 | + | 0.748407i | ||||||
−0.663240 | + | 0.748407i | ||||||||
43.7516 | + | 20.0615i | 0.112184 | + | 0.0514398i | |||||
222.971 | 0.570259 | |||||||||
−84.2187 | − | 84.2187i | −0.214844 | − | 0.214844i | |||||
234.746 | 0.597318 | |||||||||
− | 66.1171i | − | 0.167810i | |||||||
161.216 | + | 161.216i | 0.408143 | + | 0.408143i | |||||
92.8666 | + | 92.8666i | 0.234512 | + | 0.234512i | |||||
372.060 | − | 372.060i | 0.937179 | − | 0.937179i | −0.0609613 | − | 0.998140i | ||
0.998140 | + | 0.0609613i | ||||||||
−94.4087 | + | 94.4087i | −0.237208 | + | 0.237208i | |||||
106.222 | 0.266220 | |||||||||
117.163i | 0.292909i | |||||||||
−380.251 | + | 380.251i | −0.948258 | + | 0.948258i | −0.998726 | − | 0.0504677i | ||
0.0504677 | + | 0.998726i | ||||||||
99.4689i | 0.247435i | |||||||||
−238.939 | + | 88.7040i | −0.592901 | + | 0.220109i | |||||
401.424 | 0.993625 | |||||||||
14.2207 | + | 14.2207i | 0.0351128 | + | 0.0351128i | |||||
−44.2489 | −0.108987 | |||||||||
− | 747.616i | − | 1.83689i | |||||||
−53.1389 | − | 53.1389i | −0.130242 | − | 0.130242i | |||||
58.5825 | + | 58.5825i | 0.143233 | + | 0.143233i | 0.775087 | − | 0.631854i | ||
−0.631854 | + | 0.775087i | ||||||||
−61.3537 | + | 61.3537i | −0.149643 | + | 0.149643i | |||||
234.726 | − | 234.726i | 0.571109 | − | 0.571109i | |||||
86.1358 | 0.209067 | |||||||||
− | 300.420i | − | 0.727408i | |||||||
−70.6790 | + | 70.6790i | −0.170722 | + | 0.170722i | |||||
− | 269.485i | − | 0.649361i | |||||||
−398.670 | + | 148.003i | −0.958342 | + | 0.355776i | |||||
−422.631 | −1.01350 | |||||||||
105.011 | + | 105.011i | 0.251223 | + | 0.251223i | |||||
−451.990 | −1.07874 | −0.539368 | − | 0.842070i | ||||||
−0.539368 | + | 0.842070i | ||||||||
− | 66.9335i | − | 0.159366i | |||||||
54.5548 | + | 54.5548i | 0.129584 | + | 0.129584i | 0.768924 | − | 0.639340i | ||
−0.639340 | + | 0.768924i | ||||||||
−35.8205 | − | 35.8205i | −0.0848827 | − | 0.0848827i | |||||
112.789 | − | 112.789i | 0.266641 | − | 0.266641i | |||||
463.872 | − | 463.872i | 1.09404 | − | 1.09404i | |||||
128.078 | 0.301360 | |||||||||
− | 69.9632i | − | 0.164233i | |||||||
361.859 | − | 361.859i | 0.847446 | − | 0.847446i | |||||
− | 512.612i | − | 1.19769i | |||||||
−111.208 | − | 299.557i | −0.259226 | − | 0.698268i | |||||
−91.3175 | −0.212366 | |||||||||
422.858 | + | 422.858i | 0.981110 | + | 0.981110i | 0.999825 | − | 0.0187153i | ||
−0.0187153 | + | 0.999825i | ||||||||
−30.4297 | −0.0704392 | |||||||||
621.635i | 1.43565i | 0.696225 | + | 0.717824i | ||||||
−0.696225 | + | 0.717824i | ||||||||
−74.3445 | − | 74.3445i | −0.171301 | − | 0.171301i | |||||
22.5818 | + | 22.5818i | 0.0519121 | + | 0.0519121i | |||||
−14.0793 | + | 14.0793i | −0.0322919 | + | 0.0322919i | |||||
269.425 | − | 269.425i | 0.616534 | − | 0.616534i | |||||
25.7633 | 0.0588204 | |||||||||
− | 416.992i | − | 0.949868i | −0.880021 | − | 0.474934i | ||||
0.880021 | − | 0.474934i | ||||||||
151.970 | − | 151.970i | 0.345387 | − | 0.345387i | |||||
52.7202i | 0.119547i | |||||||||
27.7074 | + | 74.6345i | 0.0626864 | + | 0.168856i | |||||
581.904 | 1.31355 | 0.656776 | − | 0.754086i | ||||||
0.656776 | + | 0.754086i | ||||||||
199.046 | + | 199.046i | 0.448302 | + | 0.448302i | |||||
−201.779 | −0.453436 | |||||||||
− | 95.3060i | − | 0.213690i | |||||||
302.913 | + | 302.913i | 0.677657 | + | 0.677657i | |||||
−31.1878 | − | 31.1878i | −0.0696157 | − | 0.0696157i | |||||
−66.7587 | + | 66.7587i | −0.148683 | + | 0.148683i | −0.777530 | − | 0.628846i | ||
0.628846 | + | 0.777530i | ||||||||
−40.5991 | + | 40.5991i | −0.0902202 | + | 0.0902202i | |||||
576.023 | 1.27721 | |||||||||
187.415i | 0.414636i | |||||||||
−66.0077 | + | 66.0077i | −0.145712 | + | 0.145712i | |||||
128.547i | 0.283143i | |||||||||
−67.8762 | + | 148.029i | −0.149179 | + | 0.325339i | |||||
−128.420 | −0.281623 | |||||||||
−103.815 | − | 103.815i | −0.227167 | − | 0.227167i | 0.584341 | − | 0.811508i | ||
−0.811508 | + | 0.584341i | ||||||||
−90.5071 | −0.197614 | |||||||||
33.2645i | 0.0724716i | |||||||||
−169.773 | − | 169.773i | −0.369072 | − | 0.369072i | |||||
−203.938 | − | 203.938i | −0.442381 | − | 0.442381i | 0.450430 | − | 0.892812i | ||
−0.892812 | + | 0.450430i | ||||||||
93.2054 | − | 93.2054i | 0.201743 | − | 0.201743i | |||||
−481.370 | + | 481.370i | −1.03968 | + | 1.03968i | −0.0404953 | + | 0.999180i | ||
−0.999180 | + | 0.0404953i | ||||||||
−48.3210 | −0.104140 | |||||||||
75.8812i | 0.163185i | |||||||||
55.4127 | − | 55.4127i | 0.118911 | − | 0.118911i | |||||
7.71730i | 0.0165253i | 0.999966 | + | 0.00826263i | ||||||
−0.999966 | + | 0.00826263i | ||||||||
109.362 | + | 50.1462i | 0.233680 | + | 0.107150i | |||||
−336.543 | −0.717576 | |||||||||
−80.3663 | − | 80.3663i | −0.170992 | − | 0.170992i | |||||
260.429 | 0.552928 | |||||||||
363.201i | 0.769494i | |||||||||
428.670 | + | 428.670i | 0.906280 | + | 0.906280i | |||||
−119.539 | − | 119.539i | −0.252193 | − | 0.252193i | |||||
154.762 | − | 154.762i | 0.325815 | − | 0.325815i | |||||
78.2841 | − | 78.2841i | 0.164462 | − | 0.164462i | |||||
−290.380 | −0.608763 | |||||||||
− | 6.92665i | − | 0.0144909i | |||||||
24.7867 | − | 24.7867i | 0.0517467 | − | 0.0517467i | −0.680760 | − | 0.732507i | ||
0.732507 | + | 0.680760i | ||||||||
126.608i | 0.263767i | |||||||||
−238.358 | − | 642.056i | −0.495546 | − | 1.33484i | |||||
205.907 | 0.427193 | |||||||||
−239.136 | − | 239.136i | −0.495105 | − | 0.495105i | |||||
−247.976 | −0.512346 | |||||||||
− | 185.508i | − | 0.382491i | |||||||
−10.5444 | − | 10.5444i | −0.0216963 | − | 0.0216963i | |||||
245.469 | + | 245.469i | 0.504044 | + | 0.504044i | 0.912692 | − | 0.408648i | ||
−0.408648 | + | 0.912692i | ||||||||
−437.481 | + | 437.481i | −0.896477 | + | 0.896477i | |||||
−290.194 | + | 290.194i | −0.593444 | + | 0.593444i | |||||
37.5650 | 0.0766632 | |||||||||
− | 25.3996i | − | 0.0517304i | −0.999665 | − | 0.0258652i | ||||
0.999665 | − | 0.0258652i | ||||||||
−153.361 | + | 153.361i | −0.311709 | + | 0.311709i | |||||
52.8224i | 0.107145i | |||||||||
123.664 | + | 56.7040i | 0.250332 | + | 0.114785i | |||||
−95.1320 | −0.192186 | |||||||||
−81.1861 | − | 81.1861i | −0.163682 | − | 0.163682i | |||||
236.714 | 0.476285 | |||||||||
199.819i | 0.401242i | |||||||||
−328.094 | − | 328.094i | −0.657502 | − | 0.657502i | 0.297286 | − | 0.954788i | ||
−0.954788 | + | 0.297286i | ||||||||
−219.380 | − | 219.380i | −0.438760 | − | 0.438760i | |||||
−58.4753 | + | 58.4753i | −0.116717 | + | 0.116717i | |||||
−150.083 | + | 150.083i | −0.298971 | + | 0.298971i | |||||
−399.152 | −0.793543 | −0.396771 | − | 0.917918i | ||||||
−0.396771 | + | 0.917918i | ||||||||
113.982i | 0.226156i | |||||||||
−205.608 | + | 205.608i | −0.407145 | + | 0.407145i | |||||
− | 472.820i | − | 0.934428i | |||||||
−191.012 | − | 221.805i | −0.376749 | − | 0.437486i | |||||
401.674 | 0.790697 | |||||||||
655.020 | + | 655.020i | 1.28688 | + | 1.28688i | 0.936674 | + | 0.350203i | ||
0.350203 | + | 0.936674i | ||||||||
23.7021 | 0.0464747 | |||||||||
87.1678i | 0.170583i | |||||||||
−247.720 | − | 247.720i | −0.483829 | − | 0.483829i | |||||
40.1949 | + | 40.1949i | 0.0783526 | + | 0.0783526i | |||||
−10.1709 | + | 10.1709i | −0.0197877 | + | 0.0197877i | |||||
−44.1185 | + | 44.1185i | −0.0856670 | + | 0.0856670i | |||||
−228.259 | −0.442363 | |||||||||
754.525i | 1.45943i | |||||||||
199.772 | − | 199.772i | 0.385660 | − | 0.385660i | |||||
260.206i | 0.501361i | |||||||||
82.0610 | − | 178.964i | 0.157810 | − | 0.344162i | |||||
287.758 | 0.552318 | 0.276159 | − | 0.961112i | ||||||
0.276159 | + | 0.961112i | ||||||||
−16.7440 | − | 16.7440i | −0.0320767 | − | 0.0320767i | |||||
−148.325 | −0.283604 | −0.141802 | − | 0.989895i | ||||||
−0.141802 | + | 0.989895i | ||||||||
− | 418.099i | − | 0.797898i | |||||||
−137.363 | − | 137.363i | −0.261644 | − | 0.261644i | |||||
71.5139 | + | 71.5139i | 0.135958 | + | 0.135958i | |||||
−88.7492 | + | 88.7492i | −0.168405 | + | 0.168405i | |||||
101.783 | − | 101.783i | 0.192770 | − | 0.192770i | |||||
−684.108 | −1.29321 | |||||||||
206.906i | 0.390389i | |||||||||
113.680 | − | 113.680i | 0.214087 | − | 0.214087i | |||||
− | 189.188i | − | 0.355617i | |||||||
494.692 | − | 183.650i | 0.928127 | − | 0.344559i | |||||
149.616 | 0.280180 | |||||||||
262.558 | + | 262.558i | 0.490763 | + | 0.490763i | |||||
406.874 | 0.759094 | |||||||||
427.999i | 0.797019i | |||||||||
−114.140 | − | 114.140i | −0.212156 | − | 0.212156i | |||||
−176.341 | − | 176.341i | −0.327163 | − | 0.327163i | |||||
25.3280 | − | 25.3280i | 0.0469037 | − | 0.0469037i | |||||
−378.819 | + | 378.819i | −0.700221 | + | 0.700221i | −0.964458 | − | 0.264237i | ||
0.264237 | + | 0.964458i | ||||||||
70.9958 | 0.130989 | |||||||||
− | 193.426i | − | 0.356217i | |||||||
−148.078 | + | 148.078i | −0.272202 | + | 0.272202i | |||||
− | 14.4227i | − | 0.0264637i | |||||||
50.3291 | − | 109.761i | 0.0921779 | − | 0.201028i | |||||
63.2197 | 0.115575 | 0.0577876 | − | 0.998329i | ||||||
0.0577876 | + | 0.998329i | ||||||||
−418.062 | − | 418.062i | −0.762888 | − | 0.762888i | |||||
273.859 | 0.498833 | |||||||||
− | 271.595i | − | 0.493810i | |||||||
63.8276 | + | 63.8276i | 0.115839 | + | 0.115839i | |||||
289.110 | + | 289.110i | 0.523750 | + | 0.523750i | |||||
404.450 | − | 404.450i | 0.731374 | − | 0.731374i | |||||
103.505 | − | 103.505i | 0.186832 | − | 0.186832i | |||||
−203.901 | −0.367390 | |||||||||
752.735i | 1.35384i | |||||||||
599.495 | − | 599.495i | 1.07629 | − | 1.07629i | 0.0794543 | − | 0.996839i | ||
0.996839 | − | 0.0794543i | ||||||||
− | 56.2647i | − | 0.100833i | |||||||
504.815 | + | 231.474i | 0.903067 | + | 0.414086i | |||||
−73.3598 | −0.131000 | |||||||||
−111.264 | − | 111.264i | −0.198332 | − | 0.198332i | |||||
−51.2578 | −0.0912060 | |||||||||
79.3967i | 0.141024i | 0.997511 | + | 0.0705122i | ||||||
−0.997511 | + | 0.0705122i | ||||||||
−200.885 | − | 200.885i | −0.356180 | − | 0.356180i | |||||
−95.9937 | − | 95.9937i | −0.169900 | − | 0.169900i | |||||
−23.4870 | + | 23.4870i | −0.0414964 | + | 0.0414964i | |||||
35.6760 | − | 35.6760i | 0.0629207 | − | 0.0629207i | |||||
−286.182 | −0.503842 | |||||||||
− | 27.2834i | − | 0.0479497i | −0.999713 | − | 0.0239748i | ||||
0.999713 | − | 0.0239748i | ||||||||
28.6403 | − | 28.6403i | 0.0502461 | − | 0.0502461i | |||||
73.0650i | 0.127960i | 0.997951 | + | 0.0639799i | ||||||
−0.997951 | + | 0.0639799i | ||||||||
−533.531 | + | 198.069i | −0.932747 | + | 0.346274i | |||||
−112.062 | −0.195571 | |||||||||
153.920 | + | 153.920i | 0.268154 | + | 0.268154i | |||||
−696.828 | −1.21187 | |||||||||
− | 23.6033i | − | 0.0409779i | |||||||
172.432 | + | 172.432i | 0.298841 | + | 0.298841i | 0.840560 | − | 0.541719i | ||
−0.541719 | + | 0.840560i | ||||||||
−167.765 | − | 167.765i | −0.290251 | − | 0.290251i | |||||
168.180 | − | 168.180i | 0.290466 | − | 0.290466i | |||||
40.2197 | − | 40.2197i | 0.0693443 | − | 0.0693443i | |||||
−676.067 | −1.16363 | |||||||||
137.551i | 0.236343i | |||||||||
971.276 | − | 971.276i | 1.66600 | − | 1.66600i | |||||
− | 105.384i | − | 0.180452i | |||||||
−81.6998 | + | 30.3303i | −0.139658 | + | 0.0518467i | |||||
−73.6854 | −0.125743 | |||||||||
766.322 | + | 766.322i | 1.30549 | + | 1.30549i | 0.924635 | + | 0.380854i | ||
0.380854 | + | 0.924635i | ||||||||
93.8982 | 0.159691 | |||||||||
214.479i | 0.364141i | |||||||||
−81.0013 | − | 81.0013i | −0.137290 | − | 0.137290i | |||||
84.6496 | + | 84.6496i | 0.143231 | + | 0.143231i | |||||
218.156 | − | 218.156i | 0.368507 | − | 0.368507i | |||||
120.360 | − | 120.360i | 0.202969 | − | 0.202969i | −0.598302 | − | 0.801271i | ||
0.801271 | + | 0.598302i | ||||||||
70.5388 | 0.118752 | |||||||||
80.1938i | 0.134779i | |||||||||
539.508 | − | 539.508i | 0.905215 | − | 0.905215i | |||||
− | 241.743i | − | 0.404929i | |||||||
−150.746 | − | 406.060i | −0.252084 | − | 0.679031i | |||||
323.635 | 0.540292 | 0.270146 | − | 0.962819i | ||||||
0.270146 | + | 0.962819i | ||||||||
166.069 | + | 166.069i | 0.276782 | + | 0.276782i | |||||
1108.97 | 1.84521 | 0.922607 | − | 0.385742i | ||||||
0.922607 | + | 0.385742i | ||||||||
229.092i | 0.380551i | |||||||||
−127.350 | − | 127.350i | −0.211194 | − | 0.211194i | |||||
117.564 | + | 117.564i | 0.194643 | + | 0.194643i | |||||
127.012 | − | 127.012i | 0.209938 | − | 0.209938i | |||||
152.455 | − | 152.455i | 0.251576 | − | 0.251576i | |||||
−196.769 | −0.324167 | −0.162084 | − | 0.986777i | ||||||
−0.162084 | + | 0.986777i | ||||||||
357.858i | 0.588583i | |||||||||
56.6518 | − | 56.6518i | 0.0930243 | − | 0.0930243i | |||||
− | 195.134i | − | 0.319892i | |||||||
240.561 | + | 647.990i | 0.393716 | + | 1.06054i | |||||
59.2463 | 0.0968076 | |||||||||
−702.697 | − | 702.697i | −1.14633 | − | 1.14633i | −0.987270 | − | 0.159055i | ||
−0.159055 | − | 0.987270i | ||||||||
−302.206 | −0.492193 | |||||||||
− | 157.102i | − | 0.255450i | |||||||
−381.254 | − | 381.254i | −0.618918 | − | 0.618918i | |||||
−305.273 | − | 305.273i | −0.494771 | − | 0.494771i | 0.415035 | − | 0.909805i | ||
−0.909805 | + | 0.415035i | ||||||||
32.7132 | − | 32.7132i | 0.0529339 | − | 0.0529339i | |||||
97.1707 | − | 97.1707i | 0.156980 | − | 0.156980i | −0.624247 | − | 0.781227i | ||
0.781227 | + | 0.624247i | ||||||||
135.150 | 0.217983 | |||||||||
− | 180.980i | − | 0.291434i | |||||||
−349.359 | + | 349.359i | −0.561670 | + | 0.561670i | |||||
506.211i | 0.812538i | |||||||||
54.9607 | − | 119.862i | 0.0880781 | − | 0.192087i | |||||
−275.436 | −0.440698 | |||||||||
100.946 | + | 100.946i | 0.161255 | + | 0.161255i | |||||
−268.891 | −0.428854 | |||||||||
− | 463.842i | − | 0.738601i | |||||||
−238.479 | − | 238.479i | −0.379140 | − | 0.379140i | |||||
−25.4204 | − | 25.4204i | −0.0403499 | − | 0.0403499i | |||||
−368.719 | + | 368.719i | −0.584341 | + | 0.584341i | −0.936093 | − | 0.351752i | ||
0.351752 | + | 0.936093i | ||||||||
−488.972 | + | 488.972i | −0.773690 | + | 0.773690i | |||||
91.7219 | 0.144900 | |||||||||
254.556i | 0.401508i | |||||||||
−205.736 | + | 205.736i | −0.323994 | + | 0.323994i | |||||
517.187i | 0.813186i | |||||||||
−207.664 | − | 95.2206i | −0.326003 | − | 0.149483i | |||||
112.012 | 0.175568 | |||||||||
89.5738 | + | 89.5738i | 0.140178 | + | 0.140178i | |||||
275.570 | 0.430579 | |||||||||
779.737i | 1.21644i | 0.793769 | + | 0.608219i | ||||||
−0.793769 | + | 0.608219i | ||||||||
−194.683 | − | 194.683i | −0.303244 | − | 0.303244i | |||||
−719.483 | − | 719.483i | −1.11895 | − | 1.11895i | −0.991896 | − | 0.127051i | ||
−0.127051 | − | 0.991896i | ||||||||
−425.917 | + | 425.917i | −0.661361 | + | 0.661361i | |||||
116.914 | − | 116.914i | 0.181262 | − | 0.181262i | |||||
66.9942 | 0.103706 | |||||||||
− | 313.980i | − | 0.485286i | −0.970116 | − | 0.242643i | ||||
0.970116 | − | 0.242643i | ||||||||
−43.1316 | + | 43.1316i | −0.0665611 | + | 0.0665611i | |||||
760.487i | 1.17178i | |||||||||
−86.5910 | − | 233.247i | −0.133217 | − | 0.358842i | |||||
190.366 | 0.292421 | |||||||||
516.856 | + | 516.856i | 0.792724 | + | 0.792724i | |||||
−280.037 | −0.428847 | −0.214424 | − | 0.976741i | ||||||
−0.214424 | + | 0.976741i | ||||||||
10.6942i | 0.0163520i | |||||||||
214.149 | + | 214.149i | 0.326945 | + | 0.326945i | |||||
168.085 | + | 168.085i | 0.256227 | + | 0.256227i | |||||
−32.9848 | + | 32.9848i | −0.0502051 | + | 0.0502051i | |||||
−201.618 | + | 201.618i | −0.306411 | + | 0.306411i | |||||
−1021.28 | −1.54974 | −0.774871 | − | 0.632119i | ||||||
−0.774871 | + | 0.632119i | ||||||||
169.437i | 0.256722i | |||||||||
638.747 | − | 638.747i | 0.966334 | − | 0.966334i | −0.0331178 | − | 0.999451i | ||
0.999451 | + | 0.0331178i | ||||||||
180.942i | 0.273326i | |||||||||
−131.028 | − | 60.0807i | −0.197629 | − | 0.0906195i | |||||
817.352 | 1.23095 | |||||||||
96.9016 | + | 96.9016i | 0.145717 | + | 0.145717i | |||||
151.190 | 0.227012 | |||||||||
− | 287.388i | − | 0.430867i | |||||||
104.149 | + | 104.149i | 0.155911 | + | 0.155911i | |||||
122.020 | + | 122.020i | 0.182392 | + | 0.182392i | |||||
−90.7413 | + | 90.7413i | −0.135435 | + | 0.135435i | |||||
−916.016 | + | 916.016i | −1.36515 | + | 1.36515i | |||||
317.626 | 0.472658 | |||||||||
236.547i | 0.351482i | 0.984436 | + | 0.175741i | ||||||
−0.984436 | + | 0.175741i | ||||||||
−136.921 | + | 136.921i | −0.203147 | + | 0.203147i | |||||
− | 103.958i | − | 0.154012i | |||||||
−395.050 | + | 340.205i | −0.584394 | + | 0.503261i | |||||
−788.423 | −1.16458 | −0.582292 | − | 0.812980i | ||||||
−0.582292 | + | 0.812980i | ||||||||
71.1778 | + | 71.1778i | 0.104982 | + | 0.104982i | |||||
−465.392 | −0.685408 | |||||||||
− | 96.9527i | − | 0.142578i | |||||||
−164.579 | − | 164.579i | −0.241672 | − | 0.241672i | |||||
188.197 | + | 188.197i | 0.275948 | + | 0.275948i | |||||
−278.551 | + | 278.551i | −0.407834 | + | 0.407834i | −0.880983 | − | 0.473149i | ||
0.473149 | + | 0.880983i | ||||||||
71.5898 | − | 71.5898i | 0.104663 | − | 0.104663i | |||||
428.261 | 0.625198 | |||||||||
− | 357.013i | − | 0.520427i | |||||||
115.876 | − | 115.876i | 0.168670 | − | 0.168670i | |||||
250.174i | 0.363626i | |||||||||
524.471 | − | 1143.80i | 0.761206 | − | 1.66009i | |||||
−128.955 | −0.186891 | |||||||||
−64.4993 | − | 64.4993i | −0.0933420 | − | 0.0933420i | 0.658894 | − | 0.752236i | ||
−0.752236 | + | 0.658894i | ||||||||
463.445 | 0.669718 | |||||||||
238.661i | 0.344389i | |||||||||
−129.109 | − | 129.109i | −0.186037 | − | 0.186037i | |||||
−385.549 | − | 385.549i | −0.554746 | − | 0.554746i | |||||
−68.4909 | + | 68.4909i | −0.0984065 | + | 0.0984065i | |||||
183.743 | − | 183.743i | 0.263620 | − | 0.263620i | |||||
638.590 | 0.914886 | |||||||||
141.890i | 0.202989i | |||||||||
−244.653 | + | 244.653i | −0.349504 | + | 0.349504i | |||||
136.339i | 0.194493i | 0.995260 | + | 0.0972463i | ||||||
−0.995260 | + | 0.0972463i | ||||||||
60.5791 | − | 22.4895i | 0.0862950 | − | 0.0320363i | |||||
−576.329 | −0.819814 | |||||||||
78.9493 | + | 78.9493i | 0.112144 | + | 0.112144i | |||||
205.786 | 0.291895 | |||||||||
403.824i | 0.571989i | |||||||||
515.818 | + | 515.818i | 0.729587 | + | 0.729587i | |||||
−202.473 | − | 202.473i | −0.285978 | − | 0.285978i | |||||
789.276 | − | 789.276i | 1.11322 | − | 1.11322i | 0.120513 | − | 0.992712i | ||
0.992712 | − | 0.120513i | ||||||||
63.8245 | − | 63.8245i | 0.0898936 | − | 0.0898936i | |||||
306.092 | 0.430509 | |||||||||
− | 611.999i | − | 0.859549i | |||||||
482.854 | − | 482.854i | 0.677214 | − | 0.677214i | |||||
− | 59.4624i | − | 0.0832807i | |||||||
171.823 | − | 374.723i | 0.240312 | − | 0.524089i | |||||
762.296 | 1.06466 | |||||||||
8.86818 | + | 8.86818i | 0.0123685 | + | 0.0123685i | |||||
116.834 | 0.162721 | |||||||||
− | 949.863i | − | 1.32109i | −0.750787 | − | 0.660544i | ||||
0.750787 | − | 0.660544i | ||||||||
−27.7598 | − | 27.7598i | −0.0385552 | − | 0.0385552i | |||||
110.682 | + | 110.682i | 0.153512 | + | 0.153512i | |||||
−163.237 | + | 163.237i | −0.226091 | + | 0.226091i | |||||
−263.623 | + | 263.623i | −0.364623 | + | 0.364623i | |||||
−344.505 | −0.475835 | |||||||||
− | 165.080i | − | 0.227697i | |||||||
−94.1777 | + | 94.1777i | −0.129721 | + | 0.129721i | |||||
− | 195.690i | − | 0.269175i | −0.990902 | − | 0.134588i | ||||
0.990902 | − | 0.134588i | ||||||||
−448.975 | − | 205.870i | −0.616724 | − | 0.282788i | |||||
27.0000 | 0.0370370 | |||||||||
23.5028 | + | 23.5028i | 0.0321956 | + | 0.0321956i | |||||
273.480 | 0.374117 | |||||||||
− | 487.762i | − | 0.666341i | |||||||
−373.535 | − | 373.535i | −0.509597 | − | 0.509597i | 0.404806 | − | 0.914403i | ||
−0.914403 | + | 0.404806i | ||||||||
36.6588 | + | 36.6588i | 0.0499439 | + | 0.0499439i | |||||
−48.0944 | + | 48.0944i | −0.0654345 | + | 0.0654345i | |||||
805.642 | − | 805.642i | 1.09462 | − | 1.09462i | |||||
851.931 | 1.15594 | |||||||||
116.489i | 0.157844i | |||||||||
−868.098 | + | 868.098i | −1.17469 | + | 1.17469i | −0.193615 | + | 0.981078i | ||
−0.981078 | + | 0.193615i | ||||||||
363.162i | 0.490760i | |||||||||
−230.925 | + | 85.7289i | −0.311640 | + | 0.115694i | |||||
519.073 | 0.699560 | |||||||||
−744.696 | − | 744.696i | −1.00228 | − | 1.00228i | −0.999997 | − | 0.00228459i | ||
−0.00228459 | − | 0.999997i | ||||||||
−230.149 | −0.309340 | |||||||||
552.669i | 0.741837i | |||||||||
12.1325 | + | 12.1325i | 0.0162633 | + | 0.0162633i | |||||
−255.828 | − | 255.828i | −0.342473 | − | 0.342473i | |||||
−198.170 | + | 198.170i | −0.264933 | + | 0.264933i | |||||
658.690 | − | 658.690i | 0.879426 | − | 0.879426i | |||||
−166.635 | −0.222180 | |||||||||
267.175i | 0.355760i | 0.984052 | + | 0.177880i | ||||||
−0.984052 | + | 0.177880i | ||||||||
−220.172 | + | 220.172i | −0.292783 | + | 0.292783i | |||||
− | 384.303i | − | 0.510362i | |||||||
96.1967 | − | 35.7122i | 0.127582 | − | 0.0473636i | |||||
−120.432 | −0.159513 | |||||||||
−63.5414 | − | 63.5414i | −0.0840495 | − | 0.0840495i | |||||
−421.716 | −0.557088 | −0.278544 | − | 0.960423i | ||||||
−0.278544 | + | 0.960423i | ||||||||
380.915i | 0.502527i | |||||||||
605.351 | + | 605.351i | 0.797565 | + | 0.797565i | |||||
−117.152 | − | 117.152i | −0.154148 | − | 0.154148i | |||||
937.965 | − | 937.965i | 1.23254 | − | 1.23254i | 0.269558 | − | 0.962984i | ||
0.962984 | − | 0.269558i | ||||||||
152.550 | − | 152.550i | 0.200197 | − | 0.200197i | |||||
−36.1828 | −0.0474218 | |||||||||
199.590i | 0.261244i | |||||||||
−30.3458 | + | 30.3458i | −0.0396677 | + | 0.0396677i | |||||
331.214i | 0.432395i | |||||||||
242.461 | + | 653.109i | 0.316116 | + | 0.851512i | |||||
−258.840 | −0.337032 | |||||||||
749.082 | + | 749.082i | 0.974098 | + | 0.974098i | 0.999673 | − | 0.0255747i | ||
−0.0255747 | + | 0.999673i | ||||||||
170.055 | 0.220850 | |||||||||
− | 26.0436i | − | 0.0337789i | |||||||
−299.539 | − | 299.539i | −0.388004 | − | 0.388004i | |||||
292.773 | + | 292.773i | 0.378749 | + | 0.378749i | 0.870651 | − | 0.491902i | ||
−0.491902 | + | 0.870651i | ||||||||
−86.6896 | + | 86.6896i | −0.112002 | + | 0.112002i | |||||
277.358 | − | 277.358i | 0.357882 | − | 0.357882i | |||||
562.650 | 0.725064 | |||||||||
511.536i | 0.658347i | |||||||||
393.855 | − | 393.855i | 0.506241 | − | 0.506241i | |||||
− | 444.050i | − | 0.570025i | |||||||
54.0204 | + | 145.513i | 0.0692569 | + | 0.186555i | |||||
−599.221 | −0.767248 | |||||||||
−150.823 | − | 150.823i | −0.192868 | − | 0.192868i | |||||
42.8747 | 0.0547570 | |||||||||
− | 102.913i | − | 0.131267i | |||||||
237.578 | + | 237.578i | 0.302648 | + | 0.302648i | |||||
−158.788 | − | 158.788i | −0.202020 | − | 0.202020i | |||||
−992.205 | + | 992.205i | −1.26074 | + | 1.26074i | −0.310010 | + | 0.950733i | ||
−0.950733 | + | 0.310010i | ||||||||
150.767 | − | 150.767i | 0.191328 | − | 0.191328i | |||||
−183.118 | −0.232089 | |||||||||
− | 218.101i | − | 0.276078i | |||||||
−240.823 | + | 240.823i | −0.304454 | + | 0.304454i | |||||
− | 288.537i | − | 0.364314i | |||||||
−494.631 | + | 1078.73i | −0.623747 | + | 1.36031i | |||||
−503.341 | −0.633931 | |||||||||
−264.902 | − | 264.902i | −0.333209 | − | 0.333209i | |||||
−430.560 | −0.540905 | |||||||||
− | 96.6901i | − | 0.121318i | −0.998159 | − | 0.0606588i | ||||
0.998159 | − | 0.0606588i | ||||||||
−71.8510 | − | 71.8510i | −0.0900388 | − | 0.0900388i | |||||
240.683 | + | 240.683i | 0.301230 | + | 0.301230i | |||||
462.773 | − | 462.773i | 0.578466 | − | 0.578466i | |||||
−191.553 | + | 191.553i | −0.239142 | + | 0.239142i | |||||
514.423 | 0.641425 | |||||||||
− | 220.658i | − | 0.274792i | |||||||
−226.819 | + | 226.819i | −0.282113 | + | 0.282113i | |||||
− | 436.307i | − | 0.541996i | |||||||
221.626 | + | 101.623i | 0.274970 | + | 0.126083i | |||||
292.266 | 0.362163 | |||||||||
−623.614 | − | 623.614i | −0.771799 | − | 0.771799i | |||||
−800.289 | −0.989233 | −0.494616 | − | 0.869111i | ||||||
−0.494616 | + | 0.869111i | ||||||||
− | 19.2384i | − | 0.0237512i | |||||||
1015.91 | + | 1015.91i | 1.25267 | + | 1.25267i | 0.954520 | + | 0.298147i | ||
0.298147 | + | 0.954520i | ||||||||
−100.901 | − | 100.901i | −0.124262 | − | 0.124262i | |||||
−90.8958 | + | 90.8958i | −0.111803 | + | 0.111803i | |||||
−505.706 | + | 505.706i | −0.621260 | + | 0.621260i | |||||
−529.464 | −0.649649 | |||||||||
− | 64.9345i | − | 0.0795766i | |||||||
330.457 | − | 330.457i | 0.404476 | − | 0.404476i | |||||
− | 79.2532i | − | 0.0968866i | |||||||
76.0909 | + | 204.964i | 0.0929071 | + | 0.250261i | |||||
−279.809 | −0.341231 | |||||||||
−515.901 | − | 515.901i | −0.628381 | − | 0.628381i | 0.319280 | − | 0.947661i | ||
−0.947661 | + | 0.319280i | ||||||||
−317.548 | −0.386312 | |||||||||
563.080i | 0.684179i | 0.939667 | + | 0.342090i | ||||||
−0.939667 | + | 0.342090i | ||||||||
−133.812 | − | 133.812i | −0.162393 | − | 0.162393i | |||||
347.723 | + | 347.723i | 0.421483 | + | 0.421483i | |||||
−203.211 | + | 203.211i | −0.246018 | + | 0.246018i | |||||
−129.875 | + | 129.875i | −0.157044 | + | 0.157044i | −0.781255 | − | 0.624212i | ||
0.624212 | + | 0.781255i | ||||||||
−322.338 | −0.389298 | |||||||||
− | 1140.27i | − | 1.37548i | −0.725957 | − | 0.687740i | ||||
0.725957 | − | 0.687740i | ||||||||
−182.286 | + | 182.286i | −0.219622 | + | 0.219622i | |||||
265.035i | 0.318935i | |||||||||
92.9730 | + | 42.6311i | 0.111746 | + | 0.0512394i | |||||
−112.500 | −0.135055 | |||||||||
285.878 | + | 285.878i | 0.342779 | + | 0.342779i | |||||
−106.689 | −0.127771 | |||||||||
478.913i | 0.572863i | |||||||||
72.0356 | + | 72.0356i | 0.0860641 | + | 0.0860641i | |||||
305.737 | + | 305.737i | 0.364841 | + | 0.364841i | |||||
373.307 | − | 373.307i | 0.444942 | − | 0.444942i | −0.448727 | − | 0.893669i | ||
0.893669 | + | 0.448727i | ||||||||
−103.981 | + | 103.981i | −0.123787 | + | 0.123787i | |||||
−772.917 | −0.919045 | |||||||||
− | 73.8044i | − | 0.0876537i | |||||||
65.6252 | − | 65.6252i | 0.0778473 | − | 0.0778473i | |||||
− | 163.363i | − | 0.193558i | |||||||
28.0916 | − | 376.595i | 0.0332445 | − | 0.445675i | |||||
−152.587 | −0.180363 | |||||||||
−318.641 | − | 318.641i | −0.376200 | − | 0.376200i | |||||
566.842 | 0.668446 | |||||||||
− | 60.1406i | − | 0.0708370i | |||||||
−86.6351 | − | 86.6351i | −0.101924 | − | 0.101924i | |||||
1297.48 | + | 1297.48i | 1.52466 | + | 1.52466i | |||||
159.537 | − | 159.537i | 0.187250 | − | 0.187250i | |||||
−65.1164 | + | 65.1164i | −0.0763381 | + | 0.0763381i | −0.744245 | − | 0.667907i | ||
0.667907 | + | 0.744245i | ||||||||
−489.541 | −0.573233 | |||||||||
73.3362i | 0.0857733i | |||||||||
−796.344 | + | 796.344i | −0.930308 | + | 0.930308i | |||||
− | 98.7570i | − | 0.115236i | −0.998339 | − | 0.0576178i | ||||
0.998339 | − | 0.0576178i | ||||||||
−127.404 | + | 277.851i | −0.148489 | + | 0.323836i | |||||
959.271 | 1.11673 | 0.558365 | − | 0.829595i | ||||||
0.558365 | + | 0.829595i | ||||||||
−208.231 | − | 208.231i | −0.242129 | − | 0.242129i | |||||
−394.128 | −0.457756 | |||||||||
− | 572.063i | − | 0.663647i | |||||||
−30.4807 | − | 30.4807i | −0.0353194 | − | 0.0353194i | 0.689227 | − | 0.724546i | ||
−0.724546 | + | 0.689227i | ||||||||
120.192 | + | 120.192i | 0.139111 | + | 0.139111i | |||||
−237.375 | + | 237.375i | −0.274422 | + | 0.274422i | |||||
420.489 | − | 420.489i | 0.485554 | − | 0.485554i | |||||
429.579 | 0.495478 | |||||||||
− | 339.055i | − | 0.390617i | |||||||
−1023.83 | + | 1023.83i | −1.17817 | + | 1.17817i | |||||
− | 30.5497i | − | 0.0351146i | |||||||
731.642 | − | 271.616i | 0.840003 | − | 0.311844i | |||||
43.7443 | 0.0501655 | |||||||||
−176.107 | − | 176.107i | −0.201726 | − | 0.201726i | |||||
−364.492 | −0.417039 | |||||||||
− | 563.793i | − | 0.644334i | |||||||
58.7481 | + | 58.7481i | 0.0670640 | + | 0.0670640i | |||||
66.1101 | + | 66.1101i | 0.0753821 | + | 0.0753821i | 0.743793 | − | 0.668410i | ||
−0.668410 | + | 0.743793i | ||||||||
−282.064 | + | 282.064i | −0.321257 | + | 0.321257i | |||||
94.3393 | − | 94.3393i | 0.107326 | − | 0.107326i | |||||
185.704 | 0.211027 | |||||||||
825.315i | 0.936794i | 0.883518 | + | 0.468397i | ||||||
−0.883518 | + | 0.468397i | ||||||||
35.6612 | − | 35.6612i | 0.0404322 | − | 0.0404322i | |||||
− | 1501.16i | − | 1.70007i | −0.526724 | − | 0.850037i | ||||
0.526724 | − | 0.850037i | ||||||||
−107.008 | + | 233.370i | −0.121050 | + | 0.263993i | |||||
207.412 | 0.234363 | |||||||||
−393.614 | − | 393.614i | −0.444260 | − | 0.444260i | |||||
−122.414 | −0.138009 | −0.0690045 | − | 0.997616i | ||||||
−0.0690045 | + | 0.997616i | ||||||||
− | 618.437i | − | 0.696438i | |||||||
516.139 | + | 516.139i | 0.580584 | + | 0.580584i | |||||
136.488 | + | 136.488i | 0.153358 | + | 0.153358i | |||||
−90.3108 | + | 90.3108i | −0.101359 | + | 0.101359i | |||||
217.326 | − | 217.326i | 0.243639 | − | 0.243639i | |||||
581.655 | 0.651349 | |||||||||
− | 409.795i | − | 0.458384i | |||||||
−390.446 | + | 390.446i | −0.436252 | + | 0.436252i | |||||
− | 691.334i | − | 0.771578i | |||||||
712.879 | + | 326.878i | 0.794737 | + | 0.364413i | |||||
90.3144 | 0.100573 | |||||||||
114.389 | + | 114.389i | 0.127240 | + | 0.127240i | |||||
−185.156 | −0.205729 | |||||||||
− | 619.647i | − | 0.687732i | |||||||
−389.636 | − | 389.636i | −0.431969 | − | 0.431969i | |||||
−293.306 | − | 293.306i | −0.324813 | − | 0.324813i | |||||
291.150 | − | 291.150i | 0.322069 | − | 0.322069i | |||||
176.454 | − | 176.454i | 0.194977 | − | 0.194977i | |||||
89.2984 | 0.0985633 | |||||||||
− | 976.517i | − | 1.07665i | −0.842739 | − | 0.538323i | ||||
0.842739 | − | 0.538323i | ||||||||
−293.126 | + | 293.126i | −0.322825 | + | 0.322825i | |||||
390.377i | 0.429457i | |||||||||
146.044 | − | 54.2174i | 0.160488 | − | 0.0595796i | |||||
−1291.48 | −1.41765 | −0.708825 | − | 0.705384i | ||||||
−0.708825 | + | 0.705384i | ||||||||
−78.4632 | − | 78.4632i | −0.0860342 | − | 0.0860342i | |||||
1711.41 | 1.87449 | |||||||||
140.446i | 0.153661i | |||||||||
249.830 | + | 249.830i | 0.273038 | + | 0.273038i | |||||
−206.383 | − | 206.383i | −0.225309 | − | 0.225309i | |||||
537.244 | − | 537.244i | 0.585871 | − | 0.585871i | |||||
22.5009 | − | 22.5009i | 0.0245108 | − | 0.0245108i | |||||
1651.58 | 1.79715 | 0.898575 | − | 0.438819i | ||||||
0.898575 | + | 0.438819i | ||||||||
527.486i | 0.573355i | |||||||||
386.914 | − | 386.914i | 0.420103 | − | 0.420103i | |||||
275.897i | 0.299238i | |||||||||
−514.614 | + | 191.046i | −0.557544 | + | 0.206983i | |||||
425.072 | 0.460035 | |||||||||
745.293 | + | 745.293i | 0.805723 | + | 0.805723i | |||||
651.220 | 0.703262 | |||||||||
83.7652i | 0.0903616i | |||||||||
190.858 | + | 190.858i | 0.205666 | + | 0.205666i | |||||
644.310 | + | 644.310i | 0.693552 | + | 0.693552i | 0.963012 | − | 0.269460i | ||
−0.269460 | + | 0.963012i | ||||||||
51.3279 | − | 51.3279i | 0.0551913 | − | 0.0551913i | |||||
−135.939 | + | 135.939i | −0.146014 | + | 0.146014i | |||||
252.715 | 0.271153 | |||||||||
− | 894.567i | − | 0.958807i | |||||||
5.22017 | − | 5.22017i | 0.00558905 | − | 0.00558905i | |||||
− | 203.004i | − | 0.217116i | |||||||
−91.9924 | − | 247.797i | −0.0982825 | − | 0.264740i | |||||
−939.846 | −1.00304 | −0.501519 | − | 0.865147i | ||||||
−0.501519 | + | 0.865147i | ||||||||
227.646 | + | 227.646i | 0.242693 | + | 0.242693i | |||||
−258.482 | −0.275273 | |||||||||
− | 366.519i | − | 0.389913i | |||||||
−767.549 | − | 767.549i | −0.815674 | − | 0.815674i | 0.169804 | − | 0.985478i | ||
−0.985478 | + | 0.169804i | ||||||||
−176.160 | − | 176.160i | −0.187007 | − | 0.187007i | |||||
−999.684 | + | 999.684i | −1.06011 | + | 1.06011i | |||||
−221.912 | + | 221.912i | −0.235076 | + | 0.235076i | |||||
65.0914 | 0.0688798 | |||||||||
− | 579.926i | − | 0.613030i | |||||||
−518.599 | + | 518.599i | −0.547623 | + | 0.547623i | −0.925753 | − | 0.378130i | ||
0.378130 | + | 0.925753i | ||||||||
− | 545.171i | − | 0.575075i | |||||||
−70.3509 | − | 189.502i | −0.0741316 | − | 0.199686i | |||||
−209.370 | −0.220389 | |||||||||
−325.908 | − | 325.908i | −0.342700 | − | 0.342700i | |||||
−243.229 | −0.255493 | |||||||||
1429.04i | 1.49952i | 0.661709 | + | 0.749761i | ||||||
−0.661709 | + | 0.749761i | ||||||||
196.420 | + | 196.420i | 0.205891 | + | 0.205891i | |||||
−102.230 | − | 102.230i | −0.107047 | − | 0.107047i | |||||
15.7948 | − | 15.7948i | 0.0165218 | − | 0.0165218i | |||||
−143.409 | + | 143.409i | −0.149853 | + | 0.149853i | |||||
−33.5326 | −0.0350027 | |||||||||
− | 1074.39i | − | 1.12033i | |||||||
21.5323 | − | 21.5323i | 0.0224295 | − | 0.0224295i | |||||
− | 576.620i | − | 0.600020i | |||||||
−273.072 | + | 595.534i | −0.283858 | + | 0.619058i | |||||
498.504 | 0.517657 | |||||||||
469.530 | + | 469.530i | 0.487064 | + | 0.487064i | |||||
306.847 | 0.317976 | |||||||||
323.514i | 0.334901i | |||||||||
507.433 | + | 507.433i | 0.524749 | + | 0.524749i | 0.919002 | − | 0.394253i | ||
−0.394253 | + | 0.919002i | ||||||||
385.231 | + | 385.231i | 0.397966 | + | 0.397966i | |||||
−85.7725 | + | 85.7725i | −0.0885165 | + | 0.0885165i | |||||
−125.482 | + | 125.482i | −0.129363 | + | 0.129363i | |||||
832.781 | 0.857652 | 0.428826 | − | 0.903387i | ||||||
0.428826 | + | 0.903387i | ||||||||
− | 48.0888i | − | 0.0494741i | |||||||
−967.241 | + | 967.241i | −0.994081 | + | 0.994081i | |||||
− | 332.083i | − | 0.340947i | |||||||
409.489 | + | 187.764i | 0.419988 | + | 0.192578i | |||||
−534.592 | −0.547738 | |||||||||
−562.185 | − | 562.185i | −0.575419 | − | 0.575419i | 0.358219 | − | 0.933638i | ||
−0.933638 | + | 0.358219i | ||||||||
392.589 | 0.401420 | |||||||||
− | 1281.43i | − | 1.30892i | |||||||
85.6593 | + | 85.6593i | 0.0874075 | + | 0.0874075i | |||||
−13.6918 | − | 13.6918i | −0.0139570 | − | 0.0139570i | |||||
−17.1809 | + | 17.1809i | −0.0174958 | + | 0.0174958i | |||||
351.787 | − | 351.787i | 0.357870 | − | 0.357870i | −0.505157 | − | 0.863027i | ||
0.863027 | + | 0.505157i | ||||||||
476.493 | 0.484241 | |||||||||
154.445i | 0.156797i | |||||||||
35.7304 | − | 35.7304i | 0.0362377 | − | 0.0362377i | |||||
− | 516.263i | − | 0.523063i | |||||||
152.689 | + | 411.293i | 0.154543 | + | 0.416289i | |||||
−1487.91 | −1.50446 | |||||||||
64.3496 | + | 64.3496i | 0.0649996 | + | 0.0649996i | |||||
96.6030 | 0.0974803 | 0.0487401 | − | 0.998811i | ||||||
0.0487401 | + | 0.998811i | ||||||||
641.339i | 0.646511i | |||||||||
−231.659 | − | 231.659i | −0.233292 | − | 0.233292i | |||||
−160.119 | − | 160.119i | −0.161085 | − | 0.161085i | |||||
220.532 | − | 220.532i | 0.221640 | − | 0.221640i | |||||
−455.646 | + | 455.646i | −0.457476 | + | 0.457476i | |||||
−1290.54 | −1.29443 | −0.647213 | − | 0.762309i | ||||||
−0.647213 | + | 0.762309i | ||||||||
443.861i | 0.444751i | |||||||||
−193.568 | + | 193.568i | −0.193762 | + | 0.193762i |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 39.3.g.a.34.2 | yes | 8 | |
3.2 | odd | 2 | 117.3.j.b.73.3 | 8 | |||
4.3 | odd | 2 | 624.3.ba.b.385.2 | 8 | |||
13.5 | odd | 4 | inner | 39.3.g.a.31.2 | ✓ | 8 | |
39.5 | even | 4 | 117.3.j.b.109.3 | 8 | |||
52.31 | even | 4 | 624.3.ba.b.577.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
39.3.g.a.31.2 | ✓ | 8 | 13.5 | odd | 4 | inner | |
39.3.g.a.34.2 | yes | 8 | 1.1 | even | 1 | trivial | |
117.3.j.b.73.3 | 8 | 3.2 | odd | 2 | |||
117.3.j.b.109.3 | 8 | 39.5 | even | 4 | |||
624.3.ba.b.385.2 | 8 | 4.3 | odd | 2 | |||
624.3.ba.b.577.2 | 8 | 52.31 | even | 4 |