synthetic data B	Factor_0	Factor_1	Factor_2	Factor_3
p1	0.0032690367	2.2204e-16	0.046704052	0.00016463126
p1	5.0218863e-11	3.0496637e-12	0.048768453	0.0097824158
p1	2.2204e-16	2.2204e-16	0.062818678	2.2204e-16
p1	0.0028337316	2.2204e-16	0.037036804	0.0039785897
p1	2.2204e-16	0.0063661491	0.048177178	0.0046707807
p1	2.2204e-16	2.2204e-16	0.072025182	2.9696922e-05
p1	2.2204e-16	2.2204e-16	0.056589784	0.00010260967
p1	2.2204e-16	2.2204e-16	0.068241295	0.001269464
p1	2.2204e-16	2.2204e-16	0.057946184	1.1259639e-08
p1	2.2204e-16	2.2204e-16	0.051853926	2.2204e-16
random 1	0.0032286818	0.0050837402	0.0082681379	0.0058382622
random 2	0.0043917522	0.003729213	0.0095285706	0.0068198943
random 3	0.0019043949	0.0033029004	0.0069262892	0.013509137
random 4	0.004055481	0.0039750332	0.014461143	0.012107333
random 5	0.0024471611	0.0029465279	0.012436885	0.0061570479
random 6	0.0039778864	0.0027422058	0.0075417792	0.011210258
random 7	0.0053493254	0.0072486911	0.0069620667	0.0052272966
random 8	0.010425478	0.0045270574	0.0046190476	0.0080489317
random 9	0.0049286142	0.0054128192	0.0090538163	0.0048108644
random 10	9.4840627e-07	0.0098946009	0.0048559397	0.01406149
random 11	0.0010619831	0.0051042557	0.014368358	0.0053292937
random 12	0.0034360265	0.001747346	0.0094486955	0.011653436
random 13	0.0074378525	0.0011153491	0.0060923215	0.016342778
random 14	0.0051784854	0.0016786022	0.0069562108	0.014431865
random 15	0.0058999661	0.0023481943	0.012500573	0.0085947114
p2	0.059176882	0.0034550543	5.6315844e-07	2.2204e-16
p2	0.061542442	2.2204e-16	0.0028277891	6.2406648e-16
p2	0.052763148	6.672315e-14	0.0023315518	2.2204e-16
p2	0.050785547	2.2204e-16	1.9311964e-08	2.8065189e-13
p2	0.068434824	2.2204e-16	2.2204e-16	2.2204e-16
p2	0.051968738	2.7938159e-13	0.0017015274	2.616761e-05
p2	0.037792137	0.0023004024	0.0090151462	2.2204e-16
p2	0.048611859	2.2204e-16	0.0034113215	5.4998579e-12
p2	0.043129688	5.4871712e-07	0.015847743	8.2214441e-06
p2	0.049467944	0.00033113543	0.0080108717	1.7387008e-11
p2	0.061264962	2.2204e-16	2.2204e-16	0.001289308
p2	0.05555008	0.0029823342	0.0048227325	2.2204e-16
p2	0.042497027	0.00568243	0.0091659992	5.1187949e-16
p2	0.045983482	2.2204e-16	0.0070185056	2.7319119e-16
p2	0.043214825	2.2204e-16	0.0015924535	1.464152e-06
random 16	0.0070359197	0.0018877128	0.0043340549	0.0088412806
random 17	0.0017009068	0.0039259618	0.0040580158	0.016764484
random 18	0.0067952619	0.0063915536	0.0063870378	0.0067086406
random 19	0.00010096042	0.004691515	0.011081988	0.016613191
random 20	0.002221002	0.012074936	0.007769485	0.0067136873
random 21	0.0042042944	0.005204229	0.0066834905	0.0049504813
random 22	0.0036729808	0.0073081306	0.004670375	0.013477181
random 23	0.0048620995	0.0065822536	0.0056212272	0.010665211
random 24	0.0063009713	0.00089311531	0.0046824063	0.0096430991
random 25	0.0049798461	0.0049728816	0.0052906819	0.0093816891
random 26	0.0032195974	0.0088854979	0.0058859577	0.012951053
random 27	0.006924552	0.00081811426	0.0083682935	0.012419775
random 28	0.0075184844	0.0054164602	0.0029960422	0.015178814
random 29	0.0051449964	0.0030671386	0.010623032	0.0043670714
random 30	0.0035371612	0.011107692	0.0085349937	0.001504417
random 31	0.0047457689	0.00060878984	0.010253488	0.0094578632
random 32	0.0023782236	0.0035182971	0.0077053018	0.0082424464
p3	4.5046084e-12	0.044948019	2.2204e-16	0.0025040053
p3	2.2204e-16	0.035109214	2.2204e-16	0.011941128
p3	1.1283524e-11	0.051640479	5.148547e-08	2.2204e-16
p3	2.2588153e-07	0.037999165	4.3510747e-07	0.0044416883
p3	6.7994585e-11	0.036316686	2.0616258e-06	0.0016026542
p3	0.0021236653	0.03754891	0.0058690429	0.00065084287
p3	2.2204e-16	0.037726252	2.2204e-16	2.2204e-16
p3	9.0526455e-10	0.041381815	0.0012132277	0.00056837474
p3	0.00080105378	0.043731305	4.412668e-07	0.0038404594
p3	0.0019802621	0.039866152	0.004231882	0.0069033425
p3	2.2204e-16	0.044705742	0.0014349165	1.9528717e-14
p3	0.00057056498	0.029996237	0.0016643518	0.0060940417
p3	2.2204e-16	0.05124033	2.2204e-16	0.0031618237
p3	2.2204e-16	0.041001642	0.00061898747	0.0058807064
p3	0.0058264071	0.023588067	0.0057430623	0.0051853221
p3	0.0034889663	0.035394983	0.0013026399	0.0035114613
p3	0.0017270731	0.028891751	1.487175e-08	0.013780669
p3	0.005165257	0.031263765	0.00052359676	0.0039233064
p3	2.2204e-16	0.04626989	0.00041860447	0.00066025478
p3	0.0037143432	0.042360676	2.2204e-16	0.0041636819
random 33	0.0031983369	0.0067947294	0.0068953852	0.0084697557
random 34	0.0070321776	0.0014640679	0.0068820985	0.014490809
random 35	0.00029939904	0.0024589997	0.006010089	0.0159628
random 36	0.0018432964	0.0047471224	0.008240789	0.01027552
random 37	8.3424769e-08	0.0086808905	0.0099977245	0.012513143
random 38	0.0057253285	0.0027980926	0.0088366141	0.0094853641
random 39	0.0017982589	0.0029768715	0.0099336988	0.010351094
random 40	0.0033953459	0.0044118214	0.0058031192	0.0098117807
p4	2.2204e-16	2.2204e-16	2.2204e-16	0.043773291
p4	3.4344697e-08	2.5851739e-12	0.0039284336	0.033925123
p4	2.2204e-16	2.2204e-16	2.2204e-16	0.048608717
p4	2.2204e-16	2.2204e-16	2.2204e-16	0.048554906
p4	0.0016961684	1.5286744e-10	0.00011179294	0.038707367
p4	2.2204e-16	2.2204e-16	0.0012859266	0.05438085
p4	5.1805355e-05	0.00055160622	9.0409499e-14	0.049602335
p4	0.0034669583	2.2204e-16	0.0077583396	0.031329425
p4	2.2204e-16	2.2204e-16	2.2204e-16	0.052162181
p4	2.2204e-16	1.0242615e-12	2.2204e-16	0.050328303
random 41	0.005859946	0.0035201632	0.010832258	0.003957559
random 42	0.0064817001	0.0016543113	0.0068426677	0.010993823
random 43	0.005122806	0.0038993988	0.0051882835	0.00642934
random 44	0.0043858373	0.0047939687	0.0066602158	0.012300998
random 45	0.0068912803	0.00093800569	0.0068957821	0.011425407