Table 1:
Integral over angles of each term in the sum-amplitude-squared.
A large off-diagonal value indicates a pair of waves that are
indistinguishable within the acceptance of the experiment.
| wave index 1 |
wave index 2 |
normalized integral |
1 |
1 |
1.00000 |
| 1 |
2 |
0 |
| 1 |
3 |
0 |
| 1 |
4 |
0 |
| 1 |
5 |
0 |
| 1 |
6 |
0 |
| 1 |
7 |
0 |
| 1 |
8 |
0 |
| 1 |
9 |
1.00844E-01 ± 4.69247E-04 |
| 1 |
10 |
-9.66350E-02 ± 5.14990E-04 |
| 1 |
11 |
0 |
| 1 |
12 |
0 |
| 1 |
13 |
0 |
| 1 |
14 |
0 |
| 1 |
15 |
0 |
| 1 |
16 |
0 |
| 1 |
17 |
-6.67288E-02 ± 4.44387E-04 |
| 1 |
18 |
0 |
| 1 |
19 |
0 |
| 1 |
20 |
0 |
| 1 |
21 |
0 |
| 1 |
22 |
0 |
| 1 |
23 |
0 |
| 2 |
2 |
1.00000 |
| 2 |
3 |
3.95757E-02 ± 4.04354E-04 |
| 2 |
4 |
0 |
| 2 |
5 |
-2.15508E-02 ± 2.48372E-04 |
| 2 |
6 |
8.29215E-02 ± 3.64286E-04 |
| 2 |
7 |
-4.72701E-02 ± 2.93157E-04 |
| 2 |
8 |
-3.69123E-03 ± 2.35604E-04 |
| 2 |
9 |
0 |
| 2 |
10 |
0 |
| 2 |
11 |
2.64025E-02 ± 3.04289E-04 |
| 2 |
12 |
-9.79360E-02 ± 4.30249E-04 |
| 2 |
13 |
5.56849E-02 ± 3.45345E-04 |
| 2 |
14 |
4.60345E-03 ± 2.93831E-04 |
| 2 |
15 |
0 |
| 2 |
16 |
0 |
| 2 |
17 |
0 |
| 2 |
18 |
-6.08572E-03 ± 2.58304E-04 |
| 2 |
19 |
-3.71200E-02 ± 3.35714E-04 |
| 2 |
20 |
2.18666E-02 ± 2.74772E-04 |
| 2 |
21 |
6.81802E-03 ± 2.89384E-04 |
| 2 |
22 |
4.18264E-02 ± 3.78278E-04 |
| 2 |
23 |
-2.45352E-02 ± 3.08307E-04 |
| 3 |
3 |
1.00000 |
| 3 |
4 |
0 |
| 3 |
5 |
-2.06156E-03 ± 2.26100E-04 |
| 3 |
6 |
2.49536E-02 ± 2.82047E-04 |
| 3 |
7 |
-5.41936E-02 ± 3.02682E-04 |
| 3 |
8 |
5.53708E-02 ± 3.07121E-04 |
| 3 |
9 |
0 |
| 3 |
10 |
0 |
| 3 |
11 |
2.52564E-03 ± 2.77004E-04 |
| 3 |
12 |
-2.94722E-02 ± 3.33117E-04 |
| 3 |
13 |
6.38405E-02 ± 3.56561E-04 |
| 3 |
14 |
-6.90540E-02 ± 3.83021E-04 |
| 3 |
15 |
0 |
| 3 |
16 |
0 |
| 3 |
17 |
0 |
| 3 |
18 |
-6.95746E-03 ± 2.55662E-04 |
| 3 |
19 |
-1.28254E-02 ± 2.55988E-04 |
| 3 |
20 |
2.43140E-02 ± 2.88076E-04 |
| 3 |
21 |
7.79462E-03 ± 2.86425E-04 |
| 3 |
22 |
1.44514E-02 ± 2.88447E-04 |
| 3 |
23 |
-2.72813E-02 ± 3.23239E-04 |
| 4 |
4 |
1.00000 |
| 4 |
5 |
3.29527E-02 ± 2.45018E-04 |
| 4 |
6 |
-1.53443E-02 ± 2.45012E-04 |
| 4 |
7 |
-2.81020E-02 ± 1.75556E-04 |
| 4 |
8 |
-5.17836E-02 ± 3.61090E-04 |
| 4 |
9 |
0 |
| 4 |
10 |
0 |
| 4 |
11 |
2.69145E-02 ± 2.00121E-04 |
| 4 |
12 |
-1.20817E-02 ± 1.92916E-04 |
| 4 |
13 |
-2.20696E-02 ± 1.37872E-04 |
| 4 |
14 |
-4.30543E-02 ± 3.00219E-04 |
| 4 |
15 |
2.75029E-02 ± 2.14032E-04 |
| 4 |
16 |
-5.97299E-02 ± 2.85188E-04 |
| 4 |
17 |
0 |
| 4 |
18 |
-2.40540E-02 ± 3.24341E-04 |
| 4 |
19 |
1.79023E-02 ± 2.72653E-04 |
| 4 |
20 |
1.62052E-02 ± 2.12921E-04 |
| 4 |
21 |
-2.15586E-02 ± 2.90694E-04 |
| 4 |
22 |
1.61379E-02 ± 2.45779E-04 |
| 4 |
23 |
1.45465E-02 ± 1.91126E-04 |
| 5 |
5 |
1.00000 |
| 5 |
6 |
-2.09805E-02 ± 2.08357E-04 |
| 5 |
7 |
6.61731E-02 ± 2.86112E-04 |
| 5 |
8 |
-6.69228E-03 ± 2.34265E-04 |
| 5 |
9 |
0 |
| 5 |
10 |
0 |
| 5 |
11 |
2.11599E-04 ± 2.88799E-04 |
| 5 |
12 |
9.14838E-03 ± 2.29597E-04 |
| 5 |
13 |
-2.32601E-02 ± 2.40945E-04 |
| 5 |
14 |
-1.44007E-02 ± 2.23685E-04 |
| 5 |
15 |
-6.05329E-02 ± 2.74789E-04 |
| 5 |
16 |
-1.50335E-02 ± 2.62213E-04 |
| 5 |
17 |
0 |
| 5 |
18 |
-8.69355E-02 ± 3.35119E-04 |
| 5 |
19 |
1.48172E-02 ± 2.06092E-04 |
| 5 |
20 |
-2.23716E-02 ± 2.35363E-04 |
| 5 |
21 |
2.59368E-03 ± 2.74676E-04 |
| 5 |
22 |
-1.37919E-03 ± 2.15395E-04 |
| 5 |
23 |
1.58216E-02 ± 2.08822E-04 |
| 6 |
6 |
1.00000 |
| 6 |
7 |
-4.33672E-02 ± 2.98723E-04 |
| 6 |
8 |
2.04019E-02 ± 2.83652E-04 |
| 6 |
9 |
0 |
| 6 |
10 |
0 |
| 6 |
11 |
9.48973E-03 ± 2.38164E-04 |
| 6 |
12 |
-2.37933E-02 ± 3.70259E-04 |
| 6 |
13 |
2.75486E-02 ± 2.50693E-04 |
| 6 |
14 |
1.31444E-02 ± 2.72914E-04 |
| 6 |
15 |
-2.53648E-02 ± 2.12707E-04 |
| 6 |
16 |
-1.66298E-02 ± 1.61363E-04 |
| 6 |
17 |
0 |
| 6 |
18 |
1.23236E-02 ± 2.78216E-04 |
| 6 |
19 |
-1.04623E-01 ± 4.41242E-04 |
| 6 |
20 |
5.46856E-02 ± 3.46822E-04 |
| 6 |
21 |
5.32481E-03 ± 2.68442E-04 |
| 6 |
22 |
-8.45090E-03 ± 3.83199E-04 |
| 6 |
23 |
-6.97050E-04 ± 2.94258E-04 |
| 7 |
7 |
1.00000 |
| 7 |
8 |
9.24359E-03 ± 2.08147E-04 |
| 7 |
9 |
0 |
| 7 |
10 |
0 |
| 7 |
11 |
-2.41906E-02 ± 2.50584E-04 |
| 7 |
12 |
2.76201E-02 ± 2.51343E-04 |
| 7 |
13 |
-2.54893E-02 ± 3.06946E-04 |
| 7 |
14 |
2.10641E-02 ± 2.25152E-04 |
| 7 |
15 |
-3.36546E-02 ± 2.74719E-04 |
| 7 |
16 |
-1.82434E-02 ± 2.16630E-04 |
| 7 |
17 |
0 |
| 7 |
18 |
-1.75524E-02 ± 2.00012E-04 |
| 7 |
19 |
2.41383E-02 ± 2.43122E-04 |
| 7 |
20 |
-8.64643E-02 ± 3.54406E-04 |
| 7 |
21 |
1.20703E-02 ± 2.01321E-04 |
| 7 |
22 |
-7.99559E-03 ± 2.45272E-04 |
| 7 |
23 |
6.70512E-03 ± 3.01177E-04 |
| 8 |
8 |
1.00000 |
| 8 |
9 |
0 |
| 8 |
10 |
0 |
| 8 |
11 |
-1.41467E-02 ± 2.19739E-04 |
| 8 |
12 |
1.24481E-02 ± 2.58456E-04 |
| 8 |
13 |
1.98966E-02 ± 2.12672E-04 |
| 8 |
14 |
1.18698E-02 ± 3.27411E-04 |
| 8 |
15 |
-1.46548E-02 ± 1.90192E-04 |
| 8 |
16 |
-2.87571E-02 ± 2.13425E-04 |
| 8 |
17 |
0 |
| 8 |
18 |
1.31481E-02 ± 3.12845E-04 |
| 8 |
19 |
-2.60620E-02 ± 2.78612E-04 |
| 8 |
20 |
1.34420E-02 ± 2.47050E-04 |
| 8 |
21 |
2.54368E-03 ± 2.93829E-04 |
| 8 |
22 |
-9.22222E-03 ± 2.63654E-04 |
| 8 |
23 |
7.66288E-04 ± 2.33711E-04 |
| 9 |
9 |
1.00000 |
| 9 |
10 |
-3.80983E-02 ± 4.72986E-04 |
| 9 |
11 |
0 |
| 9 |
12 |
0 |
| 9 |
13 |
0 |
| 9 |
14 |
0 |
| 9 |
15 |
0 |
| 9 |
16 |
0 |
| 9 |
17 |
-0.110379 ± 5.13441E-04 |
| 9 |
18 |
0 |
| 9 |
19 |
0 |
| 9 |
20 |
0 |
| 9 |
21 |
0 |
| 9 |
22 |
0 |
| 9 |
23 |
0 |
| 10 |
10 |
1.00000 |
| 10 |
11 |
0 |
| 10 |
12 |
0 |
| 10 |
13 |
0 |
| 10 |
14 |
0 |
| 10 |
15 |
0 |
| 10 |
16 |
0 |
| 10 |
17 |
2.31569E-02 ± 4.72219E-04 |
| 10 |
18 |
0 |
| 10 |
19 |
0 |
| 10 |
20 |
0 |
| 10 |
21 |
0 |
| 10 |
22 |
0 |
| 10 |
23 |
0 |
| 11 |
11 |
1.00000 |
| 11 |
12 |
-2.39747E-02 ± 2.60822E-04 |
| 11 |
13 |
7.31667E-02 ± 3.13276E-04 |
| 11 |
14 |
-9.35891E-04 ± 2.64554E-04 |
| 11 |
15 |
-4.94408E-02 ± 2.24436E-04 |
| 11 |
16 |
-1.22786E-02 ± 2.14165E-04 |
| 11 |
17 |
0 |
| 11 |
18 |
1.05158E-02 ± 2.83432E-04 |
| 11 |
19 |
-2.73317E-03 ± 2.22366E-04 |
| 11 |
20 |
1.80257E-02 ± 2.21284E-04 |
| 11 |
21 |
-8.92120E-02 ± 3.61840E-04 |
| 11 |
22 |
1.55900E-02 ± 2.37634E-04 |
| 11 |
23 |
-2.78057E-02 ± 2.75181E-04 |
| 12 |
12 |
1.00000 |
| 12 |
13 |
-5.10706E-02 ± 3.41154E-04 |
| 12 |
14 |
1.48592E-02 ± 2.91926E-04 |
| 12 |
15 |
-1.99717E-02 ± 1.67482E-04 |
| 12 |
16 |
-1.30941E-02 ± 1.27054E-04 |
| 12 |
17 |
0 |
| 12 |
18 |
4.11963E-03 ± 2.64477E-04 |
| 12 |
19 |
9.51562E-04 ± 3.69192E-04 |
| 12 |
20 |
-5.46365E-03 ± 2.87039E-04 |
| 12 |
21 |
1.04482E-02 ± 2.89057E-04 |
| 12 |
22 |
-1.00550E-01 ± 4.36496E-04 |
| 12 |
23 |
5.38952E-02 ± 3.48250E-04 |
| 13 |
13 |
1.00000 |
| 13 |
14 |
7.82221E-04 ± 2.25478E-04 |
| 13 |
15 |
-2.64303E-02 ± 2.15749E-04 |
| 13 |
16 |
-1.43273E-02 ± 1.70128E-04 |
| 13 |
17 |
0 |
| 13 |
18 |
1.32834E-02 ± 2.02389E-04 |
| 13 |
19 |
-9.84611E-03 ± 2.46829E-04 |
| 13 |
20 |
1.40630E-02 ± 3.07235E-04 |
| 13 |
21 |
-2.08458E-02 ± 2.23334E-04 |
| 13 |
22 |
2.61758E-02 ± 2.78101E-04 |
| 13 |
23 |
-8.67048E-02 ± 3.95071E-04 |
| 14 |
14 |
1.00000 |
| 14 |
15 |
-1.21844E-02 ± 1.58130E-04 |
| 14 |
16 |
-2.39093E-02 ± 1.77447E-04 |
| 14 |
17 |
0 |
| 14 |
18 |
1.40721E-03 ± 3.01318E-04 |
| 14 |
19 |
-7.04349E-03 ± 2.64178E-04 |
| 14 |
20 |
-4.53156E-04 ± 2.35299E-04 |
| 14 |
21 |
1.27856E-02 ± 3.28109E-04 |
| 14 |
22 |
-2.41469E-02 ± 2.78553E-04 |
| 14 |
23 |
1.36855E-02 ± 2.46352E-04 |
| 15 |
15 |
1.00000 |
| 15 |
16 |
1.53241E-02 ± 3.30958E-04 |
| 15 |
17 |
0 |
| 15 |
18 |
9.56293E-04 ± 1.71898E-04 |
| 15 |
19 |
2.06358E-02 ± 1.83468E-04 |
| 15 |
20 |
-2.07989E-02 ± 2.43413E-04 |
| 15 |
21 |
8.57092E-04 ± 1.54066E-04 |
| 15 |
22 |
1.86021E-02 ± 1.65385E-04 |
| 15 |
23 |
-1.86699E-02 ± 2.18497E-04 |
| 16 |
16 |
1.00000 |
| 16 |
17 |
0 |
| 16 |
18 |
-8.66247E-03 ± 1.89591E-04 |
| 16 |
19 |
1.33183E-02 ± 1.46049E-04 |
| 16 |
20 |
-1.44267E-02 ± 1.76007E-04 |
| 16 |
21 |
-7.76379E-03 ± 1.69923E-04 |
| 16 |
22 |
1.20056E-02 ± 1.31654E-04 |
| 16 |
23 |
-1.29500E-02 ± 1.57990E-04 |
| 17 |
17 |
1.00000 |
| 17 |
18 |
0 |
| 17 |
19 |
0 |
| 17 |
20 |
0 |
| 17 |
21 |
0 |
| 17 |
22 |
0 |
| 17 |
23 |
0 |
| 18 |
18 |
1.00000 |
| 18 |
19 |
-1.81564E-02 ± 2.73886E-04 |
| 18 |
20 |
2.72890E-02 ± 2.36504E-04 |
| 18 |
21 |
2.45587E-03 ± 3.39130E-04 |
| 18 |
22 |
8.14857E-04 ± 2.66514E-04 |
| 18 |
23 |
-2.04652E-04 ± 2.21296E-04 |
| 19 |
19 |
1.00000 |
| 19 |
20 |
-6.09279E-02 ± 3.95592E-04 |
| 19 |
21 |
8.10175E-04 ± 2.64983E-04 |
| 19 |
22 |
9.33336E-03 ± 3.74850E-04 |
| 19 |
23 |
8.34640E-04 ± 2.84504E-04 |
| 20 |
20 |
1.00000 |
| 20 |
21 |
-2.04329E-04 ± 2.20956E-04 |
| 20 |
22 |
8.38168E-04 ± 2.85707E-04 |
| 20 |
23 |
4.28482E-03 ± 3.55351E-04 |
| 21 |
21 |
1.00000 |
| 21 |
22 |
-1.85189E-02 ± 2.76454E-04 |
| 21 |
23 |
2.74893E-02 ± 2.42316E-04 |
| 22 |
22 |
1.00000 |
| 22 |
23 |
-6.18139E-02 ± 4.00949E-04 |
| 23 |
23 |
1.00000 |