ST (Monthe)	
N	Valid	177	
　	Missing	6.000	
Mean	　	49.750	
Median	　	46.000	
Percentiles	10	7.000	
　	20	15.200	
　	25	22.500	
　	30	30.800	
　	40	38.200	
　	50	46.000	
　	60	53.000	
　	70	65.400	
　	75	73.500	
　	80	83.400	
　	90	96.400	

Supplementary Tabel 1：Normal Distribution of Survival Time and Median Survival Time in 180 HCC Patients.

RFS (Monthe)	
N	Valid	180.000	
　	Missing	3.000	
Mean	　	36.760	
Median	　	32.000	
Percentiles	10	3.000	
　	20	6.000	
　	25	9.250	
　	30	14.000	
　	40	23.000	
　	50	32.000	
　	60	38.600	
　	70	47.700	
　	75	51.750	
　	80	60.000	
　	90	89.900	

Supplementary Tabel 2：Normal Distribution Curve of Recurrence-Free Survival Time and Median Survival Time in 180 HCC Patients.

TLS	
　	　	Frequency	Percent	Valid Percent	Cumulative Percent	
Valid	无TLS	91	50.556	50.556	50.556	
　	有TLS	89	49.444	49.444	100.000	
　	Total	180	100.000	100.000	　	

Supplementary Tabel 3：Percentage of HCC Patients with or without TLS among 180 cases.

TLS-Maturity	
　	　	Frequency	Percent	Valid Percent	Cumulative Percent	
Valid	0	91	50.600	50.600	50.600	
　	1	80	44.400	44.400	95.000	
　	2	4	2.200	2.200	97.200	
　	3	5	2.800	2.800	100.000	
　	Total	180	100.000	100.000	　	

Supplementary Tabel 4: Percentage of Maturity in 180 HCC Patients.

TLS-Postion	
　	　	Frequency	Percent	Valid Percent	Cumulative Percent	
Valid	Non-TLS	91.000	50.556	50.556	50.556	
　	I-TLS	21.000	11.667	11.667	62.222	
　	P-TLS	29.000	16.111	16.111	78.333	
　	I+P-TLS	39.000	21.667	21.667	100.000	
　	Total	180.000	100.000	100.000	　	

Supplementary Tabel 5: Location Status of TLS in 180 HCC Patients.

    
St (Monthe)	
N	Valid	124	
　	Missing	1	
Mean	　	51.35	
Median	　	46.5	
Mode	　	12	
Percentiles	10	8	
　	20	14	
　	25	22	
　	30	29.5	
　	40	39	
　	50	46.5	
　	60	53	
　	70	69	

Supplementary Tabel 6："Normal Distribution and Median Survival Time of HCC Patients in the training set.

RFS (Monthe)	
N	Valid	125	
　	Missing	0	
Mean	　	38.23	
Median	　	32	
Mode	　	3	
Percentiles	10	3	
　	20	6	
　	25	9	
　	30	13.8	
　	40	21.4	
　	50	32	
　	60	39	
　	70	49.2	
　	75	53	
　	80	67.8	
　	90	91.6	

Supplementary Tabel 7：Normal Distribution of Recurrence-Free Survival Time and Recurrence-Free Survival Time in HCC Patients in the training set.

                          
TLS	
　	　	Frequency	Percent	Valid Percent	Cumulative Percent	
Valid	TLS-	60	48	48	48	
　	TLS+	65	52	52	100	
　	Total	125	100	100	　	

Supplementary Figure 8：Percentage of HCC Patients with or without TLS in the training set.

TLS-Maturity	
　	　	Frequency	Percent	Valid Percent	Cumulative Percent	
Valid	0	60	48.000	48.000	48.000	
　	1	59	47.200	47.200	95.200	
　	2	4	3.200	3.200	98.400	
　	3	2	1.600	1.600	100.000	
　	Total	125	100.000	100.000	　	

Supplementary Figure 9：Maturity Status of TLS in the training set of HCC patients.
 
TLS-Postion	
　	　	Frequency	Percent	Valid Percent	Cumulative Percent	
Valid	Non-TLS	61	48.8	48.8	48.8	
　	I-TLS	24	19.2	19.2	68	
　	 P-TLS 	28	22.4	22.4	90.4	
　	I+P-TLS	12	9.6	9.6	100	
　	Total	125	100	100	　	

Supplementary Tabel 10：Percentage of TLS Locations in the training set of HCC patients.

　	　	TNM	TLS	
TNM	Correlation Coefficient	1	-0.101(0.261)	
TLS	Sig. (2-tailed)	-0.101(0.261)	1	
N	　	125	125	
The correlation test between TLS and TNM using Spearman's 2-tailed r = -0.101, p = 0.261 indicates that there is no statistical significance. Therefore, it can be considered that there is no correlation between TLS and TNM.
Supplementary Tabel 11

　	　	TLS	NMR	
TLS	Correlation Coefficient	1	0.016 (0.860)	
NMR	Sig. (2-tailed)	0.016 (0.860)	1	
N	　	125	125	
The correlation test between TLS and NMR using Spearman's 2-tailed r = 0.016, p = 0.860 indicates that there is no statistical significance. Therefore, it can be considered that there is no correlation between TLS and NMR.
Supplementary Tabel 12

　	　	NMR	TNM	
NMR	Correlation Coefficient	1	0.083 (P=0,356)	
TNM	Sig. (2-tailed)	0.083 (P=0.356)	1	
N	　	125	125	
The correlation test between TNM and NMR using Spearman's 2-tailed r = 0.083, p = 0.350 indicates that there is no statistical significance. Therefore, it can be considered that there is no correlation between TNM and NMR.
Supplementary Tabel 13

　	Unstandardized Coefficients	　	Standardized Coefficients	t	Sig.	95.0% Confidence Interval for B	Collinearity Statistics	VIF	
　	B	Std. Error	Beta	t	Sig.	Lower Bound	Upper Bound	Tolerance	　	
(Constant)	0.201	0.174		1.151	0.252	-0.69	0.546			
TLS	-0.25	0.079	-0.253	-3.169	0.002	-0.407	-0.094	0.943	1.06	
TNM	0.117	0.074	0.291	1.591	0.114	-0.029	0.264	0.179	5.575	
NMR	-0.277	0.091	-0.247	-3.028	0.003	-0.458	-0.096	0.905	1.105	
Gender	0.117	0.099	0.093	1.175	0.242	-0.08	0.314	0.956	1.046	
MVI	0.123	0.097	0.122	1.272	0.206	-0.069	0.314	0.655	1.526	
PVTT	-0.207	0.183	-0.17	-1.135	0.259	-0.57	0.155	0.267	3.751	
BCLC	0.092	0.061	0.185	1.513	0.133	-0.028	0.212	0.402	2.49	
PH	0.107	0.113	0.076	0.952	0.343	-0.116	0.331	0.935	1.069	
Tumor Size(mm)	-0.051	0.101	-0.05	-0.499	0.618	-0.251	0.15	0.6	1.666	
After conducting a multicollinearity diagnosis for various factors, it was found that no VIF value exceeded 10. This indicates that there is no multicollinearity among the factors included in the multifactor model.
Supplementary Tabel 14