Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,4,Mod(361,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.361");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | |||
Weight: | |||
Character orbit: | 882.g (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: | |
Coefficient field: | |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
|
Coefficient ring: | |
Coefficient ring index: | |
Twist minimal: | no (minimal twist has level 14) |
Sato-Tate group: |
Embedding invariants
Embedding label | 667.1 | ||
Root | of defining polynomial | ||
Character | 882.667 | ||
Dual form | 882.4.g.d.361.1 |
-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 | |||||
−3.50000 | + | 6.06218i | −0.313050 | + | 0.542218i | −0.979021 | − | 0.203760i | ||
0.665971 | + | 0.745977i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8.00000 | 0.353553 | |||||||||
0 | 0 | |||||||||
−7.00000 | − | 12.1244i | −0.221359 | − | 0.383406i | |||||
17.5000 | + | 30.3109i | 0.479677 | + | 0.830825i | 0.999728 | − | 0.0233099i | ||
−0.520051 | + | 0.854135i | ||||||||
0 | 0 | |||||||||
−66.0000 | −1.40809 | −0.704043 | − | 0.710158i | ||||||
−0.704043 | + | 0.710158i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8.00000 | + | 13.8564i | −0.125000 | + | 0.216506i | |||||
−29.5000 | − | 51.0955i | −0.420871 | − | 0.728969i | 0.575154 | − | 0.818045i | ||
−0.996025 | + | 0.0890757i | ||||||||
0 | 0 | |||||||||
68.5000 | − | 118.645i | 0.827104 | − | 1.43259i | −0.0731965 | − | 0.997318i | ||
0.900301 | − | 0.435269i | ||||||||
28.0000 | 0.313050 | |||||||||
0 | 0 | |||||||||
−70.0000 | −0.678366 | |||||||||
−3.50000 | + | 6.06218i | −0.0317305 | + | 0.0549588i | −0.881455 | − | 0.472269i | ||
0.849724 | + | 0.527228i | ||||||||
0 | 0 | |||||||||
38.0000 | + | 65.8179i | 0.304000 | + | 0.526543i | |||||
66.0000 | − | 114.315i | 0.497833 | − | 0.862273i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−106.000 | −0.678748 | −0.339374 | − | 0.940651i | ||||||
−0.339374 | + | 0.940651i | ||||||||
0 | 0 | |||||||||
37.5000 | + | 64.9519i | 0.217264 | + | 0.376313i | 0.953971 | − | 0.299900i | ||
−0.736706 | + | 0.676213i | ||||||||
−16.0000 | − | 27.7128i | −0.0883883 | − | 0.153093i | |||||
0 | 0 | |||||||||
118.000 | 0.595201 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5.50000 | + | 9.52628i | −0.0244377 | + | 0.0423273i | −0.877986 | − | 0.478687i | ||
0.853548 | + | 0.521014i | ||||||||
137.000 | + | 237.291i | 0.584851 | + | 1.01299i | |||||
0 | 0 | |||||||||
−28.0000 | + | 48.4974i | −0.110680 | + | 0.191703i | |||||
−498.000 | −1.89694 | −0.948470 | − | 0.316867i | ||||||
−0.948470 | + | 0.316867i | ||||||||
0 | 0 | |||||||||
260.000 | 0.922084 | 0.461042 | − | 0.887378i | ||||||
0.461042 | + | 0.887378i | ||||||||
70.0000 | − | 121.244i | 0.239839 | − | 0.415413i | |||||
0 | 0 | |||||||||
−7.00000 | − | 12.1244i | −0.0224368 | − | 0.0388617i | |||||
85.5000 | − | 148.090i | 0.265350 | − | 0.459600i | −0.702305 | − | 0.711876i | ||
0.967655 | + | 0.252276i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−152.000 | −0.429921 | |||||||||
0 | 0 | |||||||||
132.000 | + | 228.631i | 0.352021 | + | 0.609719i | |||||
−208.500 | − | 361.133i | −0.540371 | − | 0.935951i | −0.998883 | − | 0.0472619i | ||
0.458511 | − | 0.888689i | ||||||||
0 | 0 | |||||||||
−245.000 | −0.600651 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
106.000 | − | 183.597i | 0.239974 | − | 0.415647i | |||||
8.50000 | + | 14.7224i | 0.0187560 | + | 0.0324864i | 0.875251 | − | 0.483669i | ||
−0.856495 | + | 0.516155i | ||||||||
0 | 0 | |||||||||
25.5000 | − | 44.1673i | 0.0535236 | − | 0.0927056i | −0.838022 | − | 0.545636i | ||
0.891546 | + | 0.452930i | ||||||||
−150.000 | −0.307258 | |||||||||
0 | 0 | |||||||||
64.0000 | 0.125000 | |||||||||
231.000 | − | 400.104i | 0.440800 | − | 0.763489i | |||||
0 | 0 | |||||||||
−219.500 | − | 380.185i | −0.400242 | − | 0.693239i | 0.593513 | − | 0.804824i | ||
−0.993755 | + | 0.111585i | ||||||||
−118.000 | + | 204.382i | −0.210435 | + | 0.364485i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
784.000 | 1.31047 | 0.655237 | − | 0.755423i | ||||||
0.655237 | + | 0.755423i | ||||||||
0 | 0 | |||||||||
147.500 | + | 255.477i | 0.236487 | + | 0.409608i | 0.959704 | − | 0.281013i | ||
−0.723217 | + | 0.690621i | ||||||||
−11.0000 | − | 19.0526i | −0.0172801 | − | 0.0299299i | |||||
0 | 0 | |||||||||
−548.000 | −0.827104 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
247.500 | − | 428.683i | 0.352480 | − | 0.610513i | −0.634203 | − | 0.773166i | ||
0.986683 | + | 0.162653i | ||||||||
−56.0000 | − | 96.9948i | −0.0782624 | − | 0.135554i | |||||
0 | 0 | |||||||||
498.000 | − | 862.561i | 0.670670 | − | 1.16163i | |||||
932.000 | 1.23253 | 0.616267 | − | 0.787537i | ||||||
0.616267 | + | 0.787537i | ||||||||
0 | 0 | |||||||||
413.000 | 0.527013 | |||||||||
−260.000 | + | 450.333i | −0.326006 | + | 0.564659i | |||||
0 | 0 | |||||||||
140.000 | + | 242.487i | 0.169591 | + | 0.293741i | |||||
436.500 | − | 756.040i | 0.519875 | − | 0.900451i | −0.479858 | − | 0.877346i | ||
0.999733 | − | 0.0231042i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
28.0000 | 0.0317305 | |||||||||
0 | 0 | |||||||||
171.000 | + | 296.181i | 0.187631 | + | 0.324986i | |||||
479.500 | + | 830.518i | 0.517849 | + | 0.896941i | |||||
0 | 0 | |||||||||
290.000 | 0.303557 | 0.151779 | − | 0.988415i | ||||||
0.151779 | + | 0.988415i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
152.000 | − | 263.272i | 0.152000 | − | 0.263272i | |||||
542.500 | + | 939.638i | 0.534463 | + | 0.925717i | 0.999189 | + | 0.0402627i | ||
−0.464726 | + | 0.885454i | ||||||||
0 | 0 | |||||||||
776.500 | − | 1344.94i | 0.742823 | − | 1.28661i | −0.208381 | − | 0.978048i | ||
0.951205 | − | 0.308560i | ||||||||
−528.000 | −0.497833 | |||||||||
0 | 0 | |||||||||
834.000 | 0.764200 | |||||||||
64.5000 | − | 111.717i | 0.0582752 | − | 0.100936i | −0.835416 | − | 0.549618i | ||
0.893691 | + | 0.448682i | ||||||||
0 | 0 | |||||||||
482.500 | + | 835.715i | 0.423992 | + | 0.734376i | 0.996326 | − | 0.0856452i | ||
−0.572334 | + | 0.820021i | ||||||||
245.000 | − | 424.352i | 0.212362 | − | 0.367822i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
50.0000 | 0.0416248 | 0.0208124 | − | 0.999783i | ||||||
0.0208124 | + | 0.999783i | ||||||||
0 | 0 | |||||||||
−24.5000 | − | 42.4352i | −0.0198664 | − | 0.0344096i | |||||
212.000 | + | 367.195i | 0.169687 | + | 0.293907i | |||||
0 | 0 | |||||||||
−34.0000 | −0.0265250 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
53.0000 | − | 91.7987i | 0.0398197 | − | 0.0689697i | |||||
51.0000 | + | 88.3346i | 0.0378469 | + | 0.0655528i | |||||
0 | 0 | |||||||||
150.000 | − | 259.808i | 0.108632 | − | 0.188157i | |||||
−1407.00 | −1.00677 | |||||||||
0 | 0 | |||||||||
936.000 | 0.653989 | 0.326994 | − | 0.945026i | ||||||
0.326994 | + | 0.945026i | ||||||||
−64.0000 | + | 110.851i | −0.0441942 | + | 0.0765466i | |||||
0 | 0 | |||||||||
462.000 | + | 800.207i | 0.311693 | + | 0.539868i | |||||
377.500 | − | 653.849i | 0.251773 | − | 0.436084i | −0.712241 | − | 0.701935i | ||
0.964014 | + | 0.265851i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
878.000 | 0.566027 | |||||||||
0 | 0 | |||||||||
−236.000 | − | 408.764i | −0.148800 | − | 0.257730i | |||||
−1178.50 | − | 2041.22i | −0.734935 | − | 1.27294i | −0.954752 | − | 0.297403i | ||
0.219817 | − | 0.975541i | ||||||||
0 | 0 | |||||||||
−28.0000 | −0.0170858 | −0.00854291 | − | 0.999964i | ||||||
−0.00854291 | + | 0.999964i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−784.000 | + | 1357.93i | −0.463323 | + | 0.802498i | |||||
−1155.00 | − | 2000.52i | −0.675426 | − | 1.16987i | |||||
0 | 0 | |||||||||
371.000 | − | 642.591i | 0.212482 | − | 0.368029i | |||||
−590.000 | −0.334443 | |||||||||
0 | 0 | |||||||||
44.0000 | 0.0244377 | |||||||||
1147.50 | − | 1987.53i | 0.630919 | − | 1.09278i | −0.356446 | − | 0.934316i | ||
0.987364 | − | 0.158467i | ||||||||
0 | 0 | |||||||||
554.500 | + | 960.422i | 0.298838 | + | 0.517603i | 0.975870 | − | 0.218350i | ||
−0.677032 | + | 0.735953i | ||||||||
548.000 | − | 949.164i | 0.292425 | − | 0.506496i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−525.000 | −0.272058 | |||||||||
0 | 0 | |||||||||
779.500 | + | 1350.13i | 0.396248 | + | 0.686321i | 0.993260 | − | 0.115911i | ||
−0.597012 | + | 0.802232i | ||||||||
495.000 | + | 857.365i | 0.249241 | + | 0.431698i | |||||
0 | 0 | |||||||||
224.000 | 0.110680 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1125.50 | − | 1949.42i | 0.540834 | − | 0.936752i | −0.458022 | − | 0.888941i | ||
0.998856 | − | 0.0478115i | ||||||||
996.000 | + | 1725.12i | 0.474235 | + | 0.821399i | |||||
0 | 0 | |||||||||
−932.000 | + | 1614.27i | −0.435766 | + | 0.754770i | |||||
2788.00 | 1.29187 | 0.645934 | − | 0.763393i | ||||||
0.645934 | + | 0.763393i | ||||||||
0 | 0 | |||||||||
2159.00 | 0.982704 | |||||||||
−413.000 | + | 715.337i | −0.186327 | + | 0.322728i | |||||
0 | 0 | |||||||||
−520.000 | − | 900.666i | −0.230521 | − | 0.399274i | |||||
−789.500 | + | 1367.45i | −0.346963 | + | 0.600957i | −0.985708 | − | 0.168461i | ||
0.638746 | + | 0.769418i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−560.000 | −0.239839 | |||||||||
0 | 0 | |||||||||
873.000 | + | 1512.08i | 0.367607 | + | 0.636715i | |||||
1225.50 | + | 2122.63i | 0.511722 | + | 0.886328i | 0.999908 | + | 0.0135883i | ||
−0.488186 | + | 0.872740i | ||||||||
0 | 0 | |||||||||
1170.00 | 0.480472 | 0.240236 | − | 0.970715i | ||||||
0.240236 | + | 0.970715i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−28.0000 | + | 48.4974i | −0.0112184 | + | 0.0194309i | |||||
−38.5000 | − | 66.6840i | −0.0153004 | − | 0.0265011i | |||||
0 | 0 | |||||||||
1032.50 | − | 1788.34i | 0.403764 | − | 0.699340i | |||||
−684.000 | −0.265350 | |||||||||
0 | 0 | |||||||||
−1918.00 | −0.732349 | |||||||||
−637.500 | + | 1104.18i | −0.241507 | + | 0.418303i | −0.961144 | − | 0.276048i | ||
0.719637 | + | 0.694351i | ||||||||
0 | 0 | |||||||||
−17.5000 | − | 30.3109i | −0.00652683 | − | 0.0113048i | 0.862744 | − | 0.505642i | ||
−0.869270 | + | 0.494337i | ||||||||
−290.000 | + | 502.295i | −0.107324 | + | 0.185890i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2734.00 | 0.988779 | 0.494389 | − | 0.869241i | ||||||
0.494389 | + | 0.869241i | ||||||||
0 | 0 | |||||||||
1121.50 | + | 1942.49i | 0.399503 | + | 0.691959i | 0.993665 | − | 0.112387i | ||
−0.594162 | + | 0.804345i | ||||||||
304.000 | + | 526.543i | 0.107480 | + | 0.186161i | |||||
0 | 0 | |||||||||
−2170.00 | −0.755845 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1743.00 | − | 3018.96i | 0.593836 | − | 1.02855i | |||||
1553.00 | + | 2689.87i | 0.525256 | + | 0.909769i | |||||
0 | 0 | |||||||||
528.000 | − | 914.523i | 0.176011 | − | 0.304859i | |||||
4795.00 | 1.58697 | |||||||||
0 | 0 | |||||||||
1172.00 | 0.382388 | 0.191194 | − | 0.981552i | ||||||
0.191194 | + | 0.981552i | ||||||||
−834.000 | + | 1444.53i | −0.270186 | + | 0.467975i | |||||
0 | 0 | |||||||||
129.000 | + | 223.435i | 0.0412068 | + | 0.0713723i | |||||
−910.000 | + | 1576.17i | −0.288658 | + | 0.499970i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1930.00 | −0.599615 | |||||||||
0 | 0 | |||||||||
490.000 | + | 848.705i | 0.150163 | + | 0.260089i | |||||
1947.00 | + | 3372.30i | 0.592622 | + | 1.02645i | |||||
0 | 0 | |||||||||
−2024.00 | −0.607790 | −0.303895 | − | 0.952706i | ||||||
−0.303895 | + | 0.952706i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−50.0000 | + | 86.6025i | −0.0147166 | + | 0.0254899i | |||||
−1285.50 | − | 2226.55i | −0.375866 | − | 0.651019i | 0.614590 | − | 0.788847i | ||
−0.990456 | + | 0.137827i | ||||||||
0 | 0 | |||||||||
447.500 | − | 775.093i | 0.129134 | − | 0.223666i | −0.794207 | − | 0.607647i | ||
0.923341 | + | 0.383980i | ||||||||
98.0000 | 0.0280953 | |||||||||
0 | 0 | |||||||||
−848.000 | −0.239974 | |||||||||
893.500 | − | 1547.59i | 0.251224 | − | 0.435132i | −0.712639 | − | 0.701531i | ||
0.963863 | + | 0.266398i | ||||||||
0 | 0 | |||||||||
598.500 | + | 1036.63i | 0.166135 | + | 0.287755i | |||||
34.0000 | − | 58.8897i | 0.00937801 | − | 0.0162432i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5100.00 | 1.38030 | 0.690150 | − | 0.723667i | ||||||
0.690150 | + | 0.723667i | ||||||||
0 | 0 | |||||||||
−2088.50 | − | 3617.39i | −0.558225 | − | 0.966873i | −0.997645 | − | 0.0685917i | ||
0.439420 | − | 0.898282i | ||||||||
106.000 | + | 183.597i | 0.0281568 | + | 0.0487690i | |||||
0 | 0 | |||||||||
−204.000 | −0.0535236 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4521.00 | + | 7830.60i | −1.16463 | + | 2.01720i | |||||
300.000 | + | 519.615i | 0.0768146 | + | 0.133047i | |||||
0 | 0 | |||||||||
1407.00 | − | 2437.00i | 0.355946 | − | 0.616517i | |||||
−4680.00 | −1.17689 | −0.588444 | − | 0.808538i | ||||||
−0.588444 | + | 0.808538i | ||||||||
0 | 0 | |||||||||
−245.000 | −0.0608815 | |||||||||
−936.000 | + | 1621.20i | −0.231220 | + | 0.400485i | |||||
0 | 0 | |||||||||
−128.000 | − | 221.703i | −0.0312500 | − | 0.0541266i | |||||
874.500 | − | 1514.68i | 0.212256 | − | 0.367638i | −0.740164 | − | 0.672426i | ||
0.952420 | + | 0.304788i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1848.00 | −0.440800 | |||||||||
0 | 0 | |||||||||
755.000 | + | 1307.70i | 0.178031 | + | 0.308358i | |||||
−2236.50 | − | 3873.73i | −0.524367 | − | 0.908230i | −0.999598 | − | 0.0283689i | ||
0.475231 | − | 0.879861i | ||||||||
0 | 0 | |||||||||
2919.00 | 0.676652 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−878.000 | + | 1520.74i | −0.200121 | + | 0.346619i | |||||
−987.500 | − | 1710.40i | −0.223825 | − | 0.387676i | 0.732141 | − | 0.681153i | ||
−0.955966 | + | 0.293476i | ||||||||
0 | 0 | |||||||||
−4219.50 | + | 7308.39i | −0.945817 | + | 1.63820i | −0.191710 | + | 0.981452i | ||
−0.754107 | + | 0.656751i | ||||||||
944.000 | 0.210435 | |||||||||
0 | 0 | |||||||||
4714.00 | 1.03935 | |||||||||
−1330.00 | + | 2303.63i | −0.291644 | + | 0.505142i | |||||
0 | 0 | |||||||||
−263.500 | − | 456.395i | −0.0571559 | − | 0.0989969i | 0.836032 | − | 0.548681i | ||
−0.893188 | + | 0.449684i | ||||||||
28.0000 | − | 48.4974i | 0.00604075 | − | 0.0104629i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
202.000 | 0.0428837 | 0.0214418 | − | 0.999770i | ||||||
0.0214418 | + | 0.999770i | ||||||||
0 | 0 | |||||||||
−3974.50 | − | 6884.04i | −0.834839 | − | 1.44598i | −0.894161 | − | 0.447745i | ||
0.0593220 | − | 0.998239i | ||||||||
−1568.00 | − | 2715.86i | −0.327619 | − | 0.567452i | |||||
0 | 0 | |||||||||
4620.00 | 0.955197 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
716.000 | − | 1240.15i | 0.145736 | − | 0.252422i | |||||
742.000 | + | 1285.18i | 0.150247 | + | 0.260236i | |||||
0 | 0 | |||||||||
590.000 | − | 1021.91i | 0.118244 | − | 0.204804i | |||||
318.000 | 0.0634053 | 0.0317027 | − | 0.999497i | ||||||
0.0317027 | + | 0.999497i | ||||||||
0 | 0 | |||||||||
−119.000 | −0.0234863 | |||||||||
−44.0000 | + | 76.2102i | −0.00864003 | + | 0.0149650i | |||||
0 | 0 | |||||||||
2295.00 | + | 3975.06i | 0.446127 | + | 0.772714i | |||||
231.000 | − | 400.104i | 0.0446792 | − | 0.0773866i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2218.00 | −0.422621 | |||||||||
0 | 0 | |||||||||
1096.00 | + | 1898.33i | 0.206776 | + | 0.358147i | |||||
178.500 | + | 309.171i | 0.0335111 | + | 0.0580429i | |||||
0 | 0 | |||||||||
8132.00 | 1.51178 | 0.755892 | − | 0.654696i | ||||||
0.755892 | + | 0.654696i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
525.000 | − | 909.327i | 0.0961871 | − | 0.166601i | |||||
464.500 | + | 804.538i | 0.0846925 | + | 0.146692i | 0.905260 | − | 0.424858i | ||
−0.820568 | + | 0.571549i | ||||||||
0 | 0 | |||||||||
−104.500 | + | 180.999i | −0.0188712 | + | 0.0326859i | −0.875307 | − | 0.483568i | ||
0.856436 | + | 0.516254i | ||||||||
−3118.00 | −0.560379 | |||||||||
0 | 0 | |||||||||
−1980.00 | −0.352480 | |||||||||
3565.50 | − | 6175.63i | 0.631730 | − | 1.09419i | −0.355468 | − | 0.934689i | ||
0.987198 | − | 0.159500i | ||||||||
0 | 0 | |||||||||
−1855.00 | − | 3212.95i | −0.325580 | − | 0.563921i | |||||
−224.000 | + | 387.979i | −0.0391312 | + | 0.0677772i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−8083.00 | −1.39242 | |||||||||
0 | 0 | |||||||||
−2508.00 | − | 4343.98i | −0.428058 | − | 0.741418i | |||||
2251.00 | + | 3898.85i | 0.382427 | + | 0.662384i | |||||
0 | 0 | |||||||||
−3984.00 | −0.670670 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3285.50 | − | 5690.65i | 0.545581 | − | 0.944975i | −0.452989 | − | 0.891516i | ||
0.998570 | − | 0.0534583i | ||||||||
−1864.00 | − | 3228.54i | −0.308133 | − | 0.533703i | |||||
0 | 0 | |||||||||
−2788.00 | + | 4828.96i | −0.456744 | + | 0.791104i | |||||
3073.00 | 0.501182 | |||||||||
0 | 0 | |||||||||
−11466.0 | −1.85339 | −0.926696 | − | 0.375813i | ||||||
−0.926696 | + | 0.375813i | ||||||||
−2159.00 | + | 3739.50i | −0.347438 | + | 0.601781i | |||||
0 | 0 | |||||||||
−826.000 | − | 1430.67i | −0.131753 | − | 0.228203i | |||||
−1312.50 | + | 2273.32i | −0.208434 | + | 0.361018i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2080.00 | 0.326006 | |||||||||
0 | 0 | |||||||||
−1579.00 | − | 2734.91i | −0.245340 | − | 0.424941i | |||||
−4888.50 | − | 8467.13i | −0.756278 | − | 1.30991i | −0.944737 | − | 0.327831i | ||
0.188459 | − | 0.982081i | ||||||||
0 | 0 | |||||||||
−11914.0 | −1.82734 | −0.913670 | − | 0.406456i | ||||||
−0.913670 | + | 0.406456i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
560.000 | − | 969.948i | 0.0847957 | − | 0.146871i | |||||
−4561.50 | − | 7900.75i | −0.687774 | − | 1.19126i | −0.972556 | − | 0.232667i | ||
0.284783 | − | 0.958592i | ||||||||
0 | 0 | |||||||||
−2744.00 | + | 4752.75i | −0.410243 | + | 0.710562i | |||||
−3492.00 | −0.519875 | |||||||||
0 | 0 | |||||||||
−4902.00 | −0.723684 | |||||||||
4074.50 | − | 7057.24i | 0.599008 | − | 1.03751i | −0.393960 | − | 0.919128i | ||
0.992968 | − | 0.118385i | ||||||||
0 | 0 | |||||||||
−5955.00 | − | 10314.4i | −0.868202 | − | 1.50377i | |||||
−1170.00 | + | 2026.50i | −0.169872 | + | 0.294228i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2065.00 | −0.296129 | |||||||||
0 | 0 | |||||||||
4835.50 | + | 8375.33i | 0.687769 | + | 1.19125i | 0.972558 | + | 0.232660i | ||
−0.284790 | + | 0.958590i | ||||||||
−56.0000 | − | 96.9948i | −0.00793261 | − | 0.0137397i | |||||
0 | 0 | |||||||||
154.000 | 0.0216381 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2054.50 | − | 3558.50i | 0.285196 | − | 0.493973i | −0.687461 | − | 0.726221i | ||
0.972657 | + | 0.232248i | ||||||||
2065.00 | + | 3576.68i | 0.285504 | + | 0.494508i | |||||
0 | 0 | |||||||||
684.000 | − | 1184.72i | 0.0938154 | − | 0.162493i | |||||
6996.00 | 0.955736 | |||||||||
0 | 0 | |||||||||
−3488.00 | −0.472735 | −0.236367 | − | 0.971664i | ||||||
−0.236367 | + | 0.971664i | ||||||||
1918.00 | − | 3322.07i | 0.258925 | − | 0.448470i | |||||
0 | 0 | |||||||||
−1275.00 | − | 2208.36i | −0.170771 | − | 0.295785i | |||||
−4358.50 | + | 7549.14i | −0.581485 | + | 1.00716i | 0.413818 | + | 0.910360i | ||
−0.995304 | + | 0.0968028i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
70.0000 | 0.00923033 | |||||||||
0 | 0 | |||||||||
−580.000 | − | 1004.59i | −0.0758893 | − | 0.131444i | |||||
81.5000 | + | 141.162i | 0.0106227 | + | 0.0183990i | 0.871288 | − | 0.490772i | ||
−0.860665 | + | 0.509171i | ||||||||
0 | 0 | |||||||||
413.000 | 0.0534177 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2734.00 | + | 4735.43i | −0.349586 | + | 0.605501i | |||||
1732.50 | + | 3000.78i | 0.220687 | + | 0.382242i | |||||
0 | 0 | |||||||||
499.500 | − | 865.159i | 0.0631466 | − | 0.109373i | −0.832724 | − | 0.553689i | ||
0.895870 | + | 0.444316i | ||||||||
−4486.00 | −0.564982 | |||||||||
0 | 0 | |||||||||
−1216.00 | −0.152000 | |||||||||
−7378.50 | + | 12779.9i | −0.918865 | + | 1.59152i | −0.117722 | + | 0.993047i | ||
−0.801143 | + | 0.598474i | ||||||||
0 | 0 | |||||||||
−2475.00 | − | 4286.83i | −0.305927 | − | 0.529881i | |||||
2170.00 | − | 3758.55i | 0.267232 | − | 0.462859i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−385.000 | −0.0468888 | |||||||||
0 | 0 | |||||||||
−66.5000 | − | 115.181i | −0.00803964 | − | 0.0139251i | 0.861978 | − | 0.506946i | ||
−0.870017 | + | 0.493021i | ||||||||
3486.00 | + | 6037.93i | 0.419906 | + | 0.727298i | |||||
0 | 0 | |||||||||
−6212.00 | −0.742823 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3262.00 | + | 5649.95i | −0.385844 | + | 0.668302i | |||||
1056.00 | + | 1829.05i | 0.124458 | + | 0.215568i | |||||
0 | 0 | |||||||||
−4795.00 | + | 8305.18i | −0.561079 | + | 0.971818i | |||||
−6420.00 | −0.748538 | −0.374269 | − | 0.927320i | ||||||
−0.374269 | + | 0.927320i | ||||||||
0 | 0 | |||||||||
10266.0 | 1.18844 | 0.594221 | − | 0.804302i | ||||||
0.594221 | + | 0.804302i | ||||||||
−1172.00 | + | 2029.96i | −0.135194 | + | 0.234164i | |||||
0 | 0 | |||||||||
−1668.00 | − | 2889.06i | −0.191050 | − | 0.330908i | |||||
2242.00 | − | 3883.26i | 0.255889 | − | 0.443213i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−516.000 | −0.0582752 | |||||||||
0 | 0 | |||||||||
−1820.00 | − | 3152.33i | −0.204112 | − | 0.353532i | |||||
−7606.50 | − | 13174.8i | −0.850098 | − | 1.47241i | −0.881119 | − | 0.472894i | ||
0.0310213 | − | 0.999519i | ||||||||
0 | 0 | |||||||||
1378.00 | 0.152939 | 0.0764693 | − | 0.997072i | ||||||
0.0764693 | + | 0.997072i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1930.00 | − | 3342.86i | 0.211996 | − | 0.367188i | |||||
479.500 | + | 830.518i | 0.0524888 | + | 0.0909132i | |||||
0 | 0 | |||||||||
−1381.50 | + | 2392.83i | −0.150195 | + | 0.260145i | −0.931299 | − | 0.364256i | ||
0.781104 | + | 0.624401i | ||||||||
−1960.00 | −0.212362 | |||||||||
0 | 0 | |||||||||
−7788.00 | −0.838094 | |||||||||
2924.50 | − | 5065.38i | 0.313651 | − | 0.543259i | −0.665499 | − | 0.746399i | ||
0.979150 | + | 0.203140i | ||||||||
0 | 0 | |||||||||
3055.50 | + | 5292.28i | 0.325493 | + | 0.563771i | |||||
2024.00 | − | 3505.67i | 0.214886 | − | 0.372194i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4582.00 | −0.481599 | −0.240799 | − | 0.970575i | ||||||
−0.240799 | + | 0.970575i | ||||||||
0 | 0 | |||||||||
−8715.00 | − | 15094.8i | −0.909919 | − | 1.57603i | |||||
−100.000 | − | 173.205i | −0.0104062 | − | 0.0180241i | |||||
0 | 0 | |||||||||
5142.00 | 0.531555 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5775.50 | + | 10003.5i | −0.591174 | + | 1.02394i | 0.402901 | + | 0.915244i | ||
−0.994075 | + | 0.108700i | ||||||||
895.000 | + | 1550.19i | 0.0913114 | + | 0.158156i | |||||
0 | 0 | |||||||||
−98.0000 | + | 169.741i | −0.00993320 | + | 0.0172048i | |||||
−9494.00 | −0.959175 | −0.479587 | − | 0.877494i | ||||||
−0.479587 | + | 0.877494i | ||||||||
0 | 0 | |||||||||
−10160.0 | −1.01982 | −0.509908 | − | 0.860229i | ||||||
−0.509908 | + | 0.860229i | ||||||||
848.000 | − | 1468.78i | 0.0848436 | − | 0.146953i | |||||
0 | 0 | |||||||||
1787.00 | + | 3095.17i | 0.177642 | + | 0.307685i | |||||
653.500 | − | 1131.90i | 0.0647545 | − | 0.112158i | −0.831831 | − | 0.555030i | ||
0.896585 | + | 0.442872i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2394.00 | −0.234951 | |||||||||
0 | 0 | |||||||||
68.0000 | + | 117.779i | 0.00663126 | + | 0.0114857i | |||||
4550.00 | + | 7880.83i | 0.442303 | + | 0.766091i | |||||
0 | 0 | |||||||||
10412.0 | 1.00576 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5100.00 | + | 8833.46i | −0.488010 | + | 0.845257i | |||||
−9143.50 | − | 15837.0i | −0.872186 | − | 1.51067i | −0.859730 | − | 0.510748i | ||
−0.0124559 | − | 0.999922i | ||||||||
0 | 0 | |||||||||
363.000 | − | 628.734i | 0.0344103 | − | 0.0596005i | |||||
8354.00 | 0.789449 | |||||||||
0 | 0 | |||||||||
−424.000 | −0.0398197 | |||||||||
−1015.00 | + | 1758.03i | −0.0950284 | + | 0.164594i | |||||
0 | 0 | |||||||||
7476.50 | + | 12949.7i | 0.695673 | + | 1.20494i | 0.969953 | + | 0.243291i | ||
−0.274281 | + | 0.961650i | ||||||||
204.000 | − | 353.338i | 0.0189235 | − | 0.0327764i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−14352.0 | −1.31914 | −0.659569 | − | 0.751644i | ||||||
−0.659569 | + | 0.751644i | ||||||||
0 | 0 | |||||||||
3127.00 | + | 5416.12i | 0.285665 | + | 0.494787i | |||||
−9042.00 | − | 15661.2i | −0.823520 | − | 1.42638i | |||||
0 | 0 | |||||||||
−1200.00 | −0.108632 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2765.50 | − | 4789.99i | 0.248098 | − | 0.429718i | −0.714900 | − | 0.699226i | ||
0.962998 | + | 0.269509i | ||||||||
2814.00 | + | 4873.99i | 0.251692 | + | 0.435943i | |||||
0 | 0 | |||||||||
4680.00 | − | 8106.00i | 0.416093 | − | 0.720694i | |||||
8400.00 | 0.744607 | 0.372304 | − | 0.928111i | ||||||
0.372304 | + | 0.928111i | ||||||||
0 | 0 | |||||||||
−7595.00 | −0.669254 | |||||||||
245.000 | − | 424.352i | 0.0215249 | − | 0.0372821i | |||||
0 | 0 | |||||||||
−1872.00 | − | 3242.40i | −0.163497 | − | 0.283185i | |||||
1192.50 | − | 2065.47i | 0.103844 | − | 0.179863i | −0.809421 | − | 0.587228i | ||
0.913265 | + | 0.407365i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
512.000 | 0.0441942 | |||||||||
0 | 0 | |||||||||
1749.00 | + | 3029.36i | 0.150088 | + | 0.259960i | |||||
5435.50 | + | 9414.56i | 0.465081 | + | 0.805544i | |||||
0 | 0 | |||||||||
5985.00 | 0.509130 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1848.00 | − | 3200.83i | 0.155846 | − | 0.269934i | |||||
4576.50 | + | 7926.73i | 0.384837 | + | 0.666557i | 0.991747 | − | 0.128214i | ||
−0.606910 | + | 0.794771i | ||||||||
0 | 0 | |||||||||
−6903.50 | + | 11957.2i | −0.577187 | + | 0.999718i | 0.418613 | + | 0.908165i | ||
−0.995800 | + | 0.0915530i | ||||||||
−3020.00 | −0.251773 | |||||||||
0 | 0 | |||||||||
8946.00 | 0.741567 | |||||||||
2212.50 | − | 3832.16i | 0.182880 | − | 0.316758i | |||||
0 | 0 | |||||||||
6059.00 | + | 10494.5i | 0.497986 | + | 0.862538i | |||||
−2919.00 | + | 5055.86i | −0.239233 | + | 0.414363i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
32868.0 | 2.67105 | |||||||||
0 | 0 | |||||||||
451.500 | + | 782.021i | 0.0364861 | + | 0.0631957i | |||||
−1756.00 | − | 3041.48i | −0.141507 | − | 0.245097i | |||||
0 | 0 | |||||||||
3950.00 | 0.316536 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−4087.50 | + | 7079.76i | −0.324834 | + | 0.562629i | −0.981479 | − | 0.191571i | ||
0.656645 | + | 0.754200i | ||||||||
−8439.00 | − | 14616.8i | −0.668794 | − | 1.15838i | |||||
0 | 0 | |||||||||
−944.000 | + | 1635.06i | −0.0744001 | + | 0.128865i | |||||
−6755.00 | −0.530922 | |||||||||
0 | 0 | |||||||||
4656.00 | 0.363942 | 0.181971 | − | 0.983304i | ||||||
0.181971 | + | 0.983304i | ||||||||
−4714.00 | + | 8164.89i | −0.367467 | + | 0.636472i | |||||
0 | 0 | |||||||||
−2660.00 | − | 4607.26i | −0.206223 | − | 0.357189i | |||||
−7261.00 | + | 12576.4i | −0.561396 | + | 0.972366i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
1054.00 | 0.0808306 | |||||||||
0 | 0 | |||||||||
56.0000 | + | 96.9948i | 0.00427146 | + | 0.00739838i | |||||
3501.50 | + | 6064.78i | 0.266361 | + | 0.461352i | 0.967919 | − | 0.251261i | ||
−0.701558 | + | 0.712612i | ||||||||
0 | 0 | |||||||||
−17160.0 | −1.29837 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−202.000 | + | 349.874i | −0.0151617 | + | 0.0262608i | |||||
9876.50 | + | 17106.6i | 0.739334 | + | 1.28056i | 0.952796 | + | 0.303612i | ||
−0.213462 | + | 0.976951i | ||||||||
0 | 0 | |||||||||
−175.000 | + | 303.109i | −0.0130306 | + | 0.0225697i | |||||
15898.0 | 1.18064 | |||||||||
0 | 0 | |||||||||
6272.00 | 0.463323 | |||||||||
−3448.50 | + | 5972.98i | −0.254075 | + | 0.440071i | −0.964644 | − | 0.263557i | ||
0.710569 | + | 0.703628i | ||||||||
0 | 0 | |||||||||
−12457.5 | − | 21577.0i | −0.913013 | − | 1.58138i | −0.809785 | − | 0.586726i | ||
−0.103227 | − | 0.994658i | ||||||||
−4620.00 | + | 8002.07i | −0.337713 | + | 0.584936i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−532.000 | −0.0385842 | |||||||||
0 | 0 | |||||||||
63.5000 | + | 109.985i | 0.00458152 | + | 0.00793543i | 0.868307 | − | 0.496027i | ||
−0.863726 | + | 0.503962i | ||||||||
1432.00 | + | 2480.30i | 0.103051 | + | 0.178489i | |||||
0 | 0 | |||||||||
−2968.00 | −0.212482 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7297.50 | − | 12639.6i | 0.518407 | − | 0.897908i | |||||
1180.00 | + | 2043.82i | 0.0836109 | + | 0.144818i | |||||
0 | 0 | |||||||||
−318.000 | + | 550.792i | −0.0224172 | + | 0.0388277i | |||||
9044.00 | 0.635921 | 0.317961 | − | 0.948104i | ||||||
0.317961 | + | 0.948104i | ||||||||
0 | 0 | |||||||||
10275.0 | 0.718801 | |||||||||
119.000 | − | 206.114i | 0.00830365 | − | 0.0143823i | |||||
0 | 0 | |||||||||
−88.0000 | − | 152.420i | −0.00610942 | − | 0.0105818i | |||||
5350.50 | − | 9267.34i | 0.370521 | − | 0.641760i | −0.619125 | − | 0.785292i | ||
0.989646 | + | 0.143532i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9180.00 | −0.630919 | |||||||||
0 | 0 | |||||||||
462.000 | + | 800.207i | 0.0315930 | + | 0.0547206i | |||||
10399.5 | + | 18012.5i | 0.709369 | + | 1.22866i | 0.965091 | + | 0.261913i | ||
−0.255722 | + | 0.966750i | ||||||||
0 | 0 | |||||||||
1402.00 | 0.0951560 | 0.0475780 | − | 0.998868i | ||||||
0.0475780 | + | 0.998868i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2218.00 | − | 3841.69i | 0.149419 | − | 0.258801i | |||||
371.000 | + | 642.591i | 0.0249311 | + | 0.0431819i | |||||
0 | 0 | |||||||||
3262.50 | − | 5650.82i | 0.218156 | − | 0.377858i | −0.736088 | − | 0.676886i | ||
0.954244 | + | 0.299028i | ||||||||
−4384.00 | −0.292425 | |||||||||
0 | 0 | |||||||||
−714.000 | −0.0473918 | |||||||||
−5643.00 | + | 9773.96i | −0.373636 | + | 0.647156i | |||||
0 | 0 | |||||||||
−7525.50 | − | 13034.5i | −0.495844 | − | 0.858826i | 0.504145 | − | 0.863619i | ||
−0.999989 | + | 0.00479285i | ||||||||
−8132.00 | + | 14085.0i | −0.534496 | + | 0.925775i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−11150.0 | −0.727524 | −0.363762 | − | 0.931492i | ||||||
−0.363762 | + | 0.931492i | ||||||||
0 | 0 | |||||||||
1707.50 | + | 2957.48i | 0.110873 | + | 0.192037i | 0.916122 | − | 0.400899i | ||
−0.805250 | + | 0.592936i | ||||||||
1050.00 | + | 1818.65i | 0.0680145 | + | 0.117805i | |||||
0 | 0 | |||||||||
−1858.00 | −0.119773 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
174.500 | − | 302.243i | 0.0111680 | − | 0.0193435i | |||||
−209.000 | − | 361.999i | −0.0133440 | − | 0.0231124i | |||||
0 | 0 | |||||||||
3118.00 | − | 5400.53i | 0.198124 | − | 0.343160i | |||||
649.000 | 0.0411404 | |||||||||
0 | 0 | |||||||||
−21184.0 | −1.33648 | −0.668242 | − | 0.743944i | ||||||
−0.668242 | + | 0.743944i | ||||||||
1980.00 | − | 3429.46i | 0.124621 | − | 0.215849i | |||||
0 | 0 | |||||||||
7131.00 | + | 12351.3i | 0.446701 | + | 0.773708i | |||||
−3276.00 | + | 5674.20i | −0.204731 | + | 0.354604i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
7420.00 | 0.460440 | |||||||||
0 | 0 | |||||||||
−448.000 | − | 775.959i | −0.0276699 | − | 0.0479257i | |||||
−5352.50 | − | 9270.80i | −0.329814 | − | 0.571255i | 0.652660 | − | 0.757651i | ||
−0.982475 | + | 0.186395i | ||||||||
0 | 0 | |||||||||
−6860.00 | −0.420734 | −0.210367 | − | 0.977622i | ||||||
−0.210367 | + | 0.977622i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
8083.00 | − | 14000.2i | 0.492293 | − | 0.852677i | |||||
−7231.50 | − | 12525.3i | −0.439412 | − | 0.761084i | 0.558232 | − | 0.829685i | ||
−0.997644 | + | 0.0686008i | ||||||||
0 | 0 | |||||||||
−297.500 | + | 515.285i | −0.0179937 | + | 0.0311660i | |||||
10032.0 | 0.605365 | |||||||||
0 | 0 | |||||||||
−9004.00 | −0.540834 | |||||||||
2989.50 | − | 5177.97i | 0.179155 | − | 0.310305i | −0.762436 | − | 0.647063i | ||
0.941591 | + | 0.336758i | ||||||||
0 | 0 | |||||||||
2642.50 | + | 4576.94i | 0.157635 | + | 0.273032i | |||||
3984.00 | − | 6900.49i | 0.237117 | − | 0.410700i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6940.00 | 0.410234 | 0.205117 | − | 0.978737i | ||||||
0.205117 | + | 0.978737i | ||||||||
0 | 0 | |||||||||
6699.50 | + | 11603.9i | 0.394221 | + | 0.682812i | 0.993001 | − | 0.118102i | ||
−0.598780 | + | 0.800914i | ||||||||
6571.00 | + | 11381.3i | 0.385784 | + | 0.668198i | |||||
0 | 0 | |||||||||
7456.00 | 0.435766 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
371.000 | − | 642.591i | 0.0215370 | − | 0.0373032i | |||||
−5576.00 | − | 9657.92i | −0.322967 | − | 0.559395i | |||||
0 | 0 | |||||||||
−3073.00 | + | 5322.59i | −0.177195 | + | 0.306910i | |||||
1785.00 | 0.102696 | |||||||||
0 | 0 | |||||||||
29510.0 | 1.69023 | 0.845117 | − | 0.534582i | ||||||
0.845117 | + | 0.534582i | ||||||||
11466.0 | − | 19859.7i | 0.655273 | − | 1.13497i | |||||
0 | 0 | |||||||||
−4318.00 | − | 7479.00i | −0.245676 | − | 0.425523i | |||||
13000.5 | − | 22517.5i | 0.738035 | − | 1.27831i | −0.215344 | − | 0.976538i | ||
0.953379 | − | 0.301776i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3304.00 | 0.186327 | |||||||||
0 | 0 | |||||||||
−2625.00 | − | 4546.63i | −0.147385 | − | 0.255278i | |||||
−4402.50 | − | 7625.35i | −0.246643 | − | 0.427198i | 0.715949 | − | 0.698152i | ||
−0.962592 | + | 0.270954i | ||||||||
0 | 0 | |||||||||
16499.0 | 0.920284 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−2080.00 | + | 3602.67i | −0.115261 | + | 0.199637i | |||||
13761.0 | + | 23834.8i | 0.760889 | + | 1.31790i | |||||
0 | 0 | |||||||||
14342.5 | − | 24841.9i | 0.789601 | − | 1.36763i | −0.136610 | − | 0.990625i | ||
0.926211 | − | 0.377004i | ||||||||
6316.00 | 0.346963 | |||||||||
0 | 0 | |||||||||
19554.0 | 1.06954 | |||||||||
98.0000 | − | 169.741i | 0.00534871 | − | 0.00926423i | |||||
0 | 0 | |||||||||
14691.0 | + | 25445.6i | 0.798366 | + | 1.38281i | |||||
11914.0 | − | 20635.7i | 0.646062 | − | 1.11901i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
3146.00 | 0.169505 | 0.0847523 | − | 0.996402i | ||||||
0.0847523 | + | 0.996402i | ||||||||
0 | 0 | |||||||||
753.500 | + | 1305.10i | 0.0404250 | + | 0.0700182i | |||||
1120.00 | + | 1939.90i | 0.0599596 | + | 0.103853i | |||||
0 | 0 | |||||||||
18246.0 | 0.972659 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−629.500 | + | 1090.33i | −0.0333447 | + | 0.0577547i | −0.882216 | − | 0.470845i | ||
0.848871 | + | 0.528599i | ||||||||
−5488.00 | − | 9505.49i | −0.290086 | − | 0.502443i | |||||
0 | 0 | |||||||||
3492.00 | − | 6048.32i | 0.183804 | − | 0.318357i | |||||
−525.000 | −0.0275756 | |||||||||
0 | 0 | |||||||||
16170.0 | 0.845767 | |||||||||
4902.00 | − | 8490.51i | 0.255861 | − | 0.443164i | |||||
0 | 0 | |||||||||
8149.00 | + | 14114.5i | 0.423563 | + | 0.733632i | |||||
−8212.50 | + | 14224.5i | −0.425973 | + | 0.737807i | −0.996511 | − | 0.0834645i | ||
0.570538 | + | 0.821271i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
23820.0 | 1.22782 | |||||||||
0 | 0 | |||||||||
−2340.00 | − | 4053.00i | −0.120118 | − | 0.208050i | |||||
−4028.00 | − | 6976.70i | −0.206340 | − | 0.357391i | |||||
0 | 0 | |||||||||
6032.00 | 0.307723 | 0.153861 | − | 0.988092i | ||||||
0.153861 | + | 0.988092i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2065.00 | − | 3576.68i | 0.104697 | − | 0.181341i | |||||
−7670.00 | − | 13284.8i | −0.388078 | − | 0.672171i | |||||
0 | 0 | |||||||||
7621.50 | − | 13200.8i | 0.384047 | − | 0.665189i | −0.607589 | − | 0.794251i | ||
0.991636 | + | 0.129062i | ||||||||
−19342.0 | −0.972652 | |||||||||
0 | 0 | |||||||||
224.000 | 0.0112184 | |||||||||
7682.50 | − | 13306.5i | 0.383974 | − | 0.665062i | |||||
0 | 0 | |||||||||
5026.50 | + | 8706.15i | 0.250207 | + | 0.433371i | 0.963583 | − | 0.267411i | ||
−0.713376 | + | 0.700782i | ||||||||
−154.000 | + | 266.736i | −0.00765021 | + | 0.0132505i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−24384.0 | −1.20399 | −0.601993 | − | 0.798501i | ||||||
−0.601993 | + | 0.798501i | ||||||||
0 | 0 | |||||||||
8032.50 | + | 13912.7i | 0.395017 | + | 0.684190i | |||||
4109.00 | + | 7117.00i | 0.201664 | + | 0.349292i | |||||
0 | 0 | |||||||||
−8260.00 | −0.403764 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−5794.50 | + | 10036.4i | −0.281550 | + | 0.487660i | −0.971767 | − | 0.235943i | ||
0.690216 | + | 0.723603i | ||||||||
1368.00 | + | 2369.45i | 0.0663375 | + | 0.114900i | |||||
0 | 0 | |||||||||
−6996.00 | + | 12117.4i | −0.337904 | + | 0.585266i | |||||
−7763.00 | −0.374205 | |||||||||
0 | 0 | |||||||||
14562.0 | 0.699161 | 0.349581 | − | 0.936906i | ||||||
0.349581 | + | 0.936906i | ||||||||
3488.00 | − | 6041.39i | 0.167137 | − | 0.289490i | |||||
0 | 0 | |||||||||
3836.00 | + | 6644.15i | 0.183087 | + | 0.317116i | |||||
11382.5 | − | 19715.1i | 0.542201 | − | 0.939120i | −0.456576 | − | 0.889684i | ||
0.998777 | − | 0.0494360i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
5100.00 | 0.241507 | |||||||||
0 | 0 | |||||||||
−8717.00 | − | 15098.3i | −0.411172 | − | 0.712171i | |||||
−561.000 | − | 971.681i | −0.0264101 | − | 0.0457436i | |||||
0 | 0 | |||||||||
−3766.00 | −0.176600 | −0.0883000 | − | 0.996094i | ||||||
−0.0883000 | + | 0.996094i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−70.0000 | + | 121.244i | −0.00326341 | + | 0.00565240i | |||||
13430.5 | + | 23262.3i | 0.624918 | + | 1.08239i | 0.988557 | + | 0.150849i | ||
−0.363639 | + | 0.931540i | ||||||||
0 | 0 | |||||||||
−2850.00 | + | 4936.34i | −0.132097 | + | 0.228798i | |||||
2320.00 | 0.107324 | |||||||||
0 | 0 | |||||||||
−326.000 | −0.0150227 | |||||||||
−34113.0 | + | 59085.4i | −1.56897 | + | 2.71753i | |||||
0 | 0 | |||||||||
13720.0 | + | 23763.7i | 0.628605 | + | 1.08878i | |||||
−413.000 | + | 715.337i | −0.0188860 | + | 0.0327115i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−10913.0 | −0.496180 | |||||||||
0 | 0 | |||||||||
−1048.50 | − | 1816.06i | −0.0474905 | − | 0.0822559i | 0.841303 | − | 0.540564i | ||
−0.888793 | + | 0.458308i | ||||||||
−5468.00 | − | 9470.85i | −0.247195 | − | 0.428154i | |||||
0 | 0 | |||||||||
−6930.00 | −0.312099 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−1683.00 | + | 2915.04i | −0.0753658 | + | 0.130537i | |||||
999.000 | + | 1730.32i | 0.0446514 | + | 0.0773384i | |||||
0 | 0 | |||||||||
4486.00 | − | 7769.98i | 0.199751 | − | 0.345979i | |||||
−35334.0 | −1.57038 | −0.785191 | − | 0.619254i | ||||||
−0.785191 | + | 0.619254i | ||||||||
0 | 0 | |||||||||
−10089.0 | −0.446712 | |||||||||
1216.00 | − | 2106.17i | 0.0537401 | − | 0.0930806i | |||||
0 | 0 | |||||||||
−14757.0 | − | 25559.9i | −0.649735 | − | 1.12537i | |||||
−5162.50 | + | 8941.71i | −0.226875 | + | 0.392959i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9900.00 | 0.432646 | |||||||||
0 | 0 | |||||||||
4340.00 | + | 7517.10i | 0.188961 | + | 0.327290i | |||||
21267.5 | + | 36836.4i | 0.924259 | + | 1.60086i | 0.792749 | + | 0.609549i | ||
0.131510 | + | 0.991315i | ||||||||
0 | 0 | |||||||||
−30676.0 | −1.32821 | −0.664106 | − | 0.747638i | ||||||
−0.664106 | + | 0.747638i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
385.000 | − | 666.840i | 0.0165777 | − | 0.0287134i | |||||
7878.50 | + | 13646.0i | 0.338616 | + | 0.586500i | |||||
0 | 0 | |||||||||
17810.0 | − | 30847.8i | 0.762660 | − | 1.32097i | |||||
266.000 | 0.0113698 | |||||||||
0 | 0 | |||||||||
−13944.0 | −0.593836 | |||||||||
18671.5 | − | 32340.0i | 0.793715 | − | 1.37475i | −0.129937 | − | 0.991522i | ||
0.923652 | − | 0.383232i | ||||||||
0 | 0 | |||||||||
−1407.50 | − | 2437.86i | −0.0596141 | − | 0.103255i | 0.834678 | − | 0.550738i | ||
−0.894292 | + | 0.447483i | ||||||||
6212.00 | − | 10759.5i | 0.262628 | − | 0.454885i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
9276.00 | 0.390034 | 0.195017 | − | 0.980800i | ||||||
0.195017 | + | 0.980800i | ||||||||
0 | 0 | |||||||||
9285.50 | + | 16083.0i | 0.389021 | + | 0.673805i | 0.992318 | − | 0.123712i | ||
−0.603297 | + | 0.797517i | ||||||||
−6524.00 | − | 11299.9i | −0.272833 | − | 0.472561i | |||||
0 | 0 | |||||||||
−4224.00 | −0.176011 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−9758.00 | + | 16901.4i | −0.404419 | + | 0.700474i | |||||
−9590.00 | − | 16610.4i | −0.396743 | − | 0.687179i | |||||
0 | 0 | |||||||||
6420.00 | − | 11119.8i | 0.264648 | − | 0.458384i | |||||
29048.0 | 1.19529 | 0.597645 | − | 0.801761i | ||||||
0.597645 | + | 0.801761i | ||||||||
0 | 0 | |||||||||
−13153.0 | −0.539301 | |||||||||
−10266.0 | + | 17781.2i | −0.420178 | + | 0.727769i | |||||
0 | 0 | |||||||||
−2344.00 | − | 4059.93i | −0.0955969 | − | 0.165579i | |||||
−7556.50 | + | 13088.2i | −0.307635 | + | 0.532839i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
6672.00 | 0.270186 | |||||||||
0 | 0 | |||||||||
4484.00 | + | 7766.52i | 0.180941 | + | 0.313399i | |||||
−38.5000 | − | 66.6840i | −0.00155084 | − | 0.00268613i | |||||
0 | 0 | |||||||||
−32090.0 | −1.28809 | −0.644045 | − | 0.764988i | ||||||
−0.644045 | + | 0.764988i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
516.000 | − | 893.738i | 0.0206034 | − | 0.0356861i | |||||
12268.5 | + | 21249.7i | 0.489013 | + | 0.846995i | 0.999920 | − | 0.0126408i | ||
−0.510907 | + | 0.859636i | ||||||||
0 | 0 | |||||||||
10412.5 | − | 18035.0i | 0.413585 | − | 0.716351i | −0.581693 | − | 0.813408i | ||
0.995279 | + | 0.0970571i | ||||||||
7280.00 | 0.288658 | |||||||||
0 | 0 | |||||||||
30426.0 | 1.20222 | |||||||||
−11423.5 | + | 19786.1i | −0.450591 | + | 0.780447i | −0.998423 | − | 0.0561414i | ||
0.547831 | + | 0.836589i | ||||||||
0 | 0 | |||||||||
−5526.50 | − | 9572.18i | −0.217233 | − | 0.376259i | |||||
−1378.00 | + | 2386.77i | −0.0540720 | + | 0.0936554i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
17325.0 | 0.676307 | |||||||||
0 | 0 | |||||||||
14487.0 | + | 25092.2i | 0.563574 | + | 0.976139i | |||||
3860.00 | + | 6685.72i | 0.149904 | + | 0.259641i | |||||
0 | 0 | |||||||||
−1918.00 | −0.0742303 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
21368.5 | − | 37011.3i | 0.822763 | − | 1.42507i | −0.0808543 | − | 0.996726i | ||
0.903617 | − | 0.428341i | ||||||||
−2763.00 | − | 4785.66i | −0.106204 | − | 0.183950i | |||||
0 | 0 | |||||||||
1960.00 | − | 3394.82i | 0.0750813 | − | 0.130045i | |||||
6162.00 | 0.235645 | 0.117822 | − | 0.993035i | ||||||
0.117822 | + | 0.993035i | ||||||||
0 | 0 | |||||||||
7748.00 | 0.295290 | 0.147645 | − | 0.989040i | ||||||
0.147645 | + | 0.989040i | ||||||||
7788.00 | − | 13489.2i | 0.296311 | − | 0.513225i | |||||
0 | 0 | |||||||||
5849.00 | + | 10130.8i | 0.221784 | + | 0.384142i | |||||
12961.5 | − | 22450.0i | 0.490648 | − | 0.849827i | −0.509294 | − | 0.860592i | ||
0.999942 | + | 0.0107656i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−12222.0 | −0.460317 | |||||||||
0 | 0 | |||||||||
4048.00 | + | 7011.34i | 0.151947 | + | 0.263181i | |||||
−11713.5 | − | 20288.4i | −0.438944 | − | 0.760274i | |||||
0 | 0 | |||||||||
−17157.0 | −0.640777 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
4582.00 | − | 7936.26i | 0.170271 | − | 0.294918i | |||||
−3975.00 | − | 6884.90i | −0.147468 | − | 0.255422i | |||||
0 | 0 | |||||||||
−12301.5 | + | 21306.8i | −0.454853 | + | 0.787828i | |||||
34860.0 | 1.28682 | |||||||||
0 | 0 | |||||||||
400.000 | 0.0147166 | |||||||||
−4095.00 | + | 7092.75i | −0.150411 | + | 0.260520i | |||||
0 | 0 | |||||||||
−15967.5 | − | 27656.5i | −0.584556 | − | 1.01248i | −0.994931 | − | 0.100563i | ||
0.410375 | − | 0.911917i | ||||||||
−5142.00 | + | 8906.21i | −0.187933 | + | 0.325510i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−3408.00 | −0.123943 | −0.0619715 | − | 0.998078i | ||||||
−0.0619715 | + | 0.998078i | ||||||||
0 | 0 | |||||||||
16310.0 | + | 28249.7i | 0.591218 | + | 1.02402i | |||||
−11551.0 | − | 20006.9i | −0.418023 | − | 0.724037i | |||||
0 | 0 | |||||||||
−3580.00 | −0.129134 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−6954.50 | + | 12045.5i | −0.249628 | + | 0.432368i | −0.963423 | − | 0.267987i | ||
0.713795 | + | 0.700355i | ||||||||
−196.000 | − | 339.482i | −0.00702384 | − | 0.0121656i | |||||
0 | 0 | |||||||||
9494.00 | − | 16444.1i | 0.339120 | − | 0.587372i | |||||
−51744.0 | −1.84526 | |||||||||
0 | 0 | |||||||||
−836.000 | −0.0297162 | |||||||||
10160.0 | − | 17597.6i | 0.360560 | − | 0.624508i | |||||
0 | 0 | |||||||||
1696.00 | + | 2937.56i | 0.0599935 | + | 0.103912i | |||||
12268.5 | − | 21249.7i | 0.433279 | − | 0.750462i | −0.563874 | − | 0.825861i | ||
0.997153 | + | 0.0753990i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−7148.00 | −0.251224 | |||||||||
0 | 0 | |||||||||
1307.00 | + | 2263.79i | 0.0457884 | + | 0.0793078i | |||||
7227.50 | + | 12518.4i | 0.252796 | + | 0.437856i | |||||
0 | 0 | |||||||||
32758.0 | 1.14211 | 0.571055 | − | 0.820912i | ||||||
0.571055 | + | 0.820912i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
2394.00 | − | 4146.53i | 0.0830677 | − | 0.143878i | |||||
19280.5 | + | 33394.8i | 0.667934 | + | 1.15690i | 0.978481 | + | 0.206338i | ||
−0.310546 | + | 0.950558i | ||||||||
0 | 0 | |||||||||
1743.00 | − | 3018.96i | 0.0601908 | − | 0.104253i | |||||
−272.000 | −0.00937801 | |||||||||
0 | 0 | |||||||||
−18200.0 | −0.625511 | |||||||||
19830.5 | − | 34347.4i | 0.680470 | − | 1.17861i | −0.294368 | − | 0.955692i | ||
0.974838 | − | 0.222916i | ||||||||
0 | 0 | |||||||||
−9735.00 | − | 16861.5i | −0.332994 | − | 0.576763i | |||||
−10412.0 | + | 18034.1i | −0.355589 | + | 0.615899i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
46618.0 | 1.58458 | 0.792290 | − | 0.610144i | ||||||
0.792290 | + | 0.610144i | ||||||||
0 | 0 | |||||||||
−4462.50 | − | 7729.28i | −0.151207 | − | 0.261899i | |||||
−10200.0 | − | 17666.9i | −0.345075 | − | 0.597687i | |||||
0 | 0 | |||||||||
36574.0 | 1.23346 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
12083.0 | − | 20928.4i | 0.405592 | − | 0.702506i | |||||
726.000 | + | 1257.47i | 0.0243318 | + | 0.0421439i | |||||
0 | 0 | |||||||||
−8354.00 | + | 14469.6i | −0.279112 | + | 0.483437i | |||||
245.000 | 0.00817288 | |||||||||
0 | 0 | |||||||||
14816.0 | 0.492710 | 0.246355 | − | 0.969180i | ||||||
0.246355 | + | 0.969180i | ||||||||
424.000 | − | 734.390i | 0.0140784 | − | 0.0243845i | |||||
0 | 0 | |||||||||
−2030.00 | − | 3516.06i | −0.0671952 | − | 0.116386i | |||||
8437.50 | − | 14614.2i | 0.278859 | − | 0.482998i | −0.692242 | − | 0.721665i | ||
0.971102 | + | 0.238667i | ||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−29906.0 | −0.983830 | |||||||||
0 | 0 | |||||||||
408.000 | + | 706.677i | 0.0133809 | + | 0.0231764i | |||||
−7918.50 | − | 13715.2i | −0.259299 | − | 0.449119i | 0.706755 | − | 0.707458i | ||
−0.966054 | + | 0.258339i | ||||||||
0 | 0 | |||||||||
30555.0 | 0.997489 | |||||||||
0 | 0 | |||||||||
0 | 0 | |||||||||
14352.0 | − | 24858.4i | 0.466386 | − | 0.807804i | |||||
−4957.50 | − | 8586.64i | −0.160854 | − | 0.278608i | 0.774321 | − | 0.632793i | ||
−0.935175 | + | 0.354185i | ||||||||
0 | 0 | |||||||||
−9569.00 | + | 16574.0i | −0.309537 | + | 0.536133i | |||||
−12508.0 | −0.403992 | |||||||||
0 | 0 | |||||||||
36168.0 | 1.16463 | |||||||||
−910.000 | + | 1576.17i | −0.0292582 | + | 0.0506766i | |||||
0 | 0 | |||||||||
21840.5 | + | 37828.9i | 0.700087 | + | 1.21259i | 0.968435 | + | 0.249265i | ||
−0.268348 | + | 0.963322i | ||||||||
1200.00 | − | 2078.46i | 0.0384073 | − | 0.0665234i | |||||
0 | 0 | |||||||||
0 | 0 | |||||||||
−15701.0 | −0.500256 | |||||||||
0 | 0 | |||||||||
−23556.5 | − | 40801.1i | −0.748287 | − | 1.29607i | −0.948643 | − | 0.316348i | ||
0.200357 | − | 0.979723i | ||||||||
5531.00 | + | 9579.97i | 0.175432 | + | 0.303856i | |||||
0 | 0 |
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 882.4.g.d.667.1 | 2 | ||
3.2 | odd | 2 | 98.4.c.e.79.1 | 2 | |||
7.2 | even | 3 | 882.4.a.p.1.1 | 1 | |||
7.3 | odd | 6 | 126.4.g.c.109.1 | 2 | |||
7.4 | even | 3 | inner | 882.4.g.d.361.1 | 2 | ||
7.5 | odd | 6 | 882.4.a.k.1.1 | 1 | |||
7.6 | odd | 2 | 126.4.g.c.37.1 | 2 | |||
21.2 | odd | 6 | 98.4.a.c.1.1 | 1 | |||
21.5 | even | 6 | 98.4.a.b.1.1 | 1 | |||
21.11 | odd | 6 | 98.4.c.e.67.1 | 2 | |||
21.17 | even | 6 | 14.4.c.b.11.1 | yes | 2 | ||
21.20 | even | 2 | 14.4.c.b.9.1 | ✓ | 2 | ||
84.23 | even | 6 | 784.4.a.j.1.1 | 1 | |||
84.47 | odd | 6 | 784.4.a.l.1.1 | 1 | |||
84.59 | odd | 6 | 112.4.i.b.81.1 | 2 | |||
84.83 | odd | 2 | 112.4.i.b.65.1 | 2 | |||
105.17 | odd | 12 | 350.4.j.d.249.1 | 4 | |||
105.38 | odd | 12 | 350.4.j.d.249.2 | 4 | |||
105.44 | odd | 6 | 2450.4.a.bf.1.1 | 1 | |||
105.59 | even | 6 | 350.4.e.b.151.1 | 2 | |||
105.62 | odd | 4 | 350.4.j.d.149.2 | 4 | |||
105.83 | odd | 4 | 350.4.j.d.149.1 | 4 | |||
105.89 | even | 6 | 2450.4.a.bh.1.1 | 1 | |||
105.104 | even | 2 | 350.4.e.b.51.1 | 2 | |||
168.59 | odd | 6 | 448.4.i.d.193.1 | 2 | |||
168.83 | odd | 2 | 448.4.i.d.65.1 | 2 | |||
168.101 | even | 6 | 448.4.i.c.193.1 | 2 | |||
168.125 | even | 2 | 448.4.i.c.65.1 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.4.c.b.9.1 | ✓ | 2 | 21.20 | even | 2 | ||
14.4.c.b.11.1 | yes | 2 | 21.17 | even | 6 | ||
98.4.a.b.1.1 | 1 | 21.5 | even | 6 | |||
98.4.a.c.1.1 | 1 | 21.2 | odd | 6 | |||
98.4.c.e.67.1 | 2 | 21.11 | odd | 6 | |||
98.4.c.e.79.1 | 2 | 3.2 | odd | 2 | |||
112.4.i.b.65.1 | 2 | 84.83 | odd | 2 | |||
112.4.i.b.81.1 | 2 | 84.59 | odd | 6 | |||
126.4.g.c.37.1 | 2 | 7.6 | odd | 2 | |||
126.4.g.c.109.1 | 2 | 7.3 | odd | 6 | |||
350.4.e.b.51.1 | 2 | 105.104 | even | 2 | |||
350.4.e.b.151.1 | 2 | 105.59 | even | 6 | |||
350.4.j.d.149.1 | 4 | 105.83 | odd | 4 | |||
350.4.j.d.149.2 | 4 | 105.62 | odd | 4 | |||
350.4.j.d.249.1 | 4 | 105.17 | odd | 12 | |||
350.4.j.d.249.2 | 4 | 105.38 | odd | 12 | |||
448.4.i.c.65.1 | 2 | 168.125 | even | 2 | |||
448.4.i.c.193.1 | 2 | 168.101 | even | 6 | |||
448.4.i.d.65.1 | 2 | 168.83 | odd | 2 | |||
448.4.i.d.193.1 | 2 | 168.59 | odd | 6 | |||
784.4.a.j.1.1 | 1 | 84.23 | even | 6 | |||
784.4.a.l.1.1 | 1 | 84.47 | odd | 6 | |||
882.4.a.k.1.1 | 1 | 7.5 | odd | 6 | |||
882.4.a.p.1.1 | 1 | 7.2 | even | 3 | |||
882.4.g.d.361.1 | 2 | 7.4 | even | 3 | inner | ||
882.4.g.d.667.1 | 2 | 1.1 | even | 1 | trivial | ||
2450.4.a.bf.1.1 | 1 | 105.44 | odd | 6 | |||
2450.4.a.bh.1.1 | 1 | 105.89 | even | 6 |