Figure 5

Loop series number (a)	Magnitude of singular values
0
1	79442.74
2	12320.86
3	7748.204
4	6817.117
5	5540.862
6	4716.953
7	3919.291
8	3397.838
9	3256.642
10	2977.29
11	2914.472
12	2538.567
13	2447.279
14	2358.797
15	2309.747
16	2232.824
17	2109.478
18	2056.974
19	1971.842
20	1722.047
21	1678.478
22	1557.084
23	1474.94
24	1433.754
25	1408.797
26	1342.153
27	1328.932
28	1278.044
29	1256.229
30	1181.518
31	1157.561
32	1142.65
33	1121.191
34	1113.956
35	1088.085
36	1059.364
37	1042.875
38	1024.634
39	1013.6
40	960.1147
41	944.7723
42	922.0092
43	912.7206
44	896.8745
45	892.286
46	870.8314
47	852.8103
48	840.7379
49	812.3578
50	807.6624
51	795.2051
52	758.5638
53	749.1906
54	746.2953
55	730.7232
56	721.8488
57	707.1547
58	701.7336
59	696.924
60	678.532
61	680.7853
62	648.1777
63	645.4009
64	643.7629
65	639.7305
66	630.8721
67	612.996
68	610.2778
69	596.5994
70	588.8912
71	574.7113
72	561.6852
73	558.8229
74	545.3717
75	533.5893
76	526.9988
77	526.2065
78	514.309
79	511.199
80	498.8909
81	496.3836
82	481.943
83	473.5387
84	476.0542
85	467.2283
86	459.7238
87	446.5666
88	441.764
89	437.1505
90	426.2608
91	425.3937
92	413.4783
93	398.0497
94	390.8227
95	383.7106
96	377.6401
97	372.2737
98	362.7793
99	350.1313
100	347.9223
101	338.9658
102	328.8875
103	314.3647
104	309.1429
105	304.2401
106	294.5285
107	274.2823
108	258.3182
109	251.8729
110	240.4169
111	213.0245
112	208.474
113	97.6565
114	194.777
115	189.0877
116	183.9658
117	175.7166
118	168.4219
119	140.3959
120	146.7325
121	151.2975
122	155.7527
123	32.9814
124	28.0729
125	0.0004
126	0
127	0.0003
128	0.0003
129	0.0003
130	0.0003
131	0.0002
132	0.0002
133	0.0002
134	0.0002
135	0
136	0
137	0
138	0
139	0
140	0

Loop series number (b)	Magnitude of singular values
0
1	20729.02
2	8909.411
3	6975.909
4	5787.996
5	5284.255
6	4019.494
7	3455.397
8	3357.891
9	3105.076
10	2947.564
11	2606.581
12	2523.49
13	2447.281
14	2343.193
15	2281.702
16	2111.805
17	2056.995
18	2025.494
19	1971.783
20	1720.397
21	1601.564
22	1503.18
23	1456.085
24	1431.99
25	1400.993
26	1341.538
27	1293.288
28	1270.938
29	1214.724
30	1176.479
31	1149.927
32	1128.491
33	1114.077
34	1104.054
35	1071.085
36	1044.783
37	1029.179
38	1014.545
39	989.155
40	958.1417
41	926.818
42	912.7291
43	907.4307
44	892.5302
45	886.7136
46	867.9759
47	848.8979
48	834.5947
49	807.7316
50	795.5096
51	785.9382
52	755.7258
53	746.6984
54	746.2502
55	722.1213
56	716.6988
57	702.7028
58	699.3942
59	687.6507
60	678.6982
61	651.7621
62	645.6656
63	644.6705
64	640.136
65	632.4484
66	625.3667
67	610.765
68	597.2072
69	589.1842
70	585.446
71	562.7137
72	558.8239
73	547.7568
74	542.9495
75	532.6989
76	527.1804
77	519.8269
78	513.4039
79	505.9354
80	498.8014
81	487.2735
82	476.4615
83	474.799
84	472.3143
85	460.4364
86	447.011
87	443.6352
88	438.4449
89	429.6008
90	425.4366
91	413.5876
92	398.4172
93	390.8604
94	384.4738
95	379.8363
96	375.8014
97	366.3428
98	351.4637
99	349.8708
100	340.3724
101	331.6433
102	317.8886
103	309.2007
104	304.7057
105	294.7873
106	274.7745
107	258.4182
108	253.9065
109	240.9429
110	214.1654
111	209.5773
112	204.4926
113	194.8099
114	188.33
115	183.0337
116	175.6898
117	168.7256
118	155.7145
119	151.1342
120	146.4415
121	138.737
122	98.20903
123	35.17688
124	28.6341
125	0.000385
126	0
127	0
128	0
129	0
130	0
131	0
132	0
133	0
134	0
135	0
136	0
137	0
138	0
139	0
140	0

Bureau of Transportation Statistics