k3.1.1	Labelled peer code: [-5 -9^ -7 -1 -3]/+ + * + + 	shortcut_crossing: 0 -1 0 0 0 
k3.1.2	Labelled peer code: [-7 -5 -9^ -1 -3]/+ * + + + 	shortcut_crossing: 0 0 -1 0 0 
k3.1.3	Labelled peer code: [-7 -5 -9^ -1 -3]/+ * + + - 	shortcut_crossing: 0 0 -1 0 0 
k3.1.4	Labelled peer code: [-5 -9^ -7 -1 -3]/+ + * + - 	shortcut_crossing: 0 -1 0 0 0 
k3.1.5	Labelled peer code: [-3 -7 -9^ -1 -5]/+ * + + + 	shortcut_crossing: 0 0 -1 0 0 
k3.1.6	Labelled peer code: [-3 -7 -9^ -1 -5]/+ * + + - 	shortcut_crossing: 0 0 -1 0 0 
k3.1.7	Labelled peer code: [-3 -7 -9^ -1 -5]/+ * + - + 	shortcut_crossing: 0 0 -1 0 0 
k3.1.8	Labelled peer code: [-5 -7 -9^ -1 -3]/+ + + * + 	shortcut_crossing: 0 0 -1 0 0 
k3.1.9	Labelled peer code: [5 -9 -7 11^ -3 -1]/+ * * + + + 	shortcut_crossing: 0 0 0 1 0 0 
k3.1.10	Labelled peer code: [5 -9 -7 11^ -3 -1]/- * * + + + 	shortcut_crossing: 0 0 0 1 0 0 
k3.1.11	Labelled peer code: [-3 7 -9 -11^ 1 -5]/+ * * + + + 	shortcut_crossing: 0 0 0 -1 0 0 
k3.1.12	Labelled peer code: [-3 7 -9 -11^ 1 -5]/+ * * + + - 	shortcut_crossing: 0 0 0 -1 0 0 
k3.1.13	Labelled peer code: [-3 7 -9 -11^ 1 -5]/+ * * + - + 	shortcut_crossing: 0 0 0 -1 0 0 
k3.1.14	Labelled peer code: [-3 7 -9 -11^ 1 -5]/+ * * + - - 	shortcut_crossing: 0 0 0 -1 0 0 
k3.1.15	Labelled peer code: [5 -9 -7 11 -1 -3^]/+ + + + * - 	shortcut_crossing: 0 0 0 1 0 1 
k3.1.16	Labelled peer code: [5 -9 -7 11 -1 -3^]/+ - + + * - 	shortcut_crossing: 0 0 0 1 0 1 
k3.1.17	Labelled peer code: [5 -9 -7 11 -1 -3^]/- + + + * - 	shortcut_crossing: 0 0 0 1 0 1 
k3.1.18	Labelled peer code: [5 -9 -7 11 -1 -3^]/- - + + * - 	shortcut_crossing: 0 0 0 1 0 1 
k3.1.19	Labelled peer code: [-3 -7 9 -1 11^ 5]/+ + * * + + 	shortcut_crossing: 0 0 0 0 1 0 
k3.1.20	Labelled peer code: [-3 -7 9 -1 11^ 5]/+ + * * + - 	shortcut_crossing: 0 0 0 0 1 0 
k3.1.21	Labelled peer code: [-3 -7 9 -1 11^ 5]/+ - * * + + 	shortcut_crossing: 0 0 0 0 1 0 
k3.1.22	Labelled peer code: [-3 -7 9 -1 11^ 5]/+ - * * + - 	shortcut_crossing: 0 0 0 0 1 0 
k3.1.23	Labelled peer code: [5 9 13 3 -11 1 -7^]/+ + + * + * - 	shortcut_crossing: 0 0 1 0 0 0 1 
k3.1.24	Labelled peer code: [5 9 13 3 -11 1 -7^]/+ - + * + * - 	shortcut_crossing: 0 0 1 0 0 0 1 
k3.1.25	Labelled peer code: [5 9 13 3 -11 1 -7^]/- + + * + * - 	shortcut_crossing: 0 0 1 0 0 0 1 
k3.1.26	Labelled peer code: [5 9 13 3 -11 1 -7^]/- - + * + * - 	shortcut_crossing: 0 0 1 0 0 0 1 
k3.1.27	Labelled peer code: [7 -9 1 -11 -3 13^ -5]/+ - * * * + - 	shortcut_crossing: 0 0 0 0 0 1 0 
k3.1.28	Labelled peer code: [7 5 11^ -9 13 3 -1]/+ + + * + + - 	shortcut_crossing: 0 0 1 0 1 0 1 
k3.1.29	Labelled peer code: [7 5 11^ -9 13 3 -1]/+ - + * + + - 	shortcut_crossing: 0 0 1 0 1 0 1 
k3.1.30	Labelled peer code: [7 5 11^ -9 13 3 -1]/- + + * + + - 	shortcut_crossing: 0 0 1 0 1 0 1 
k3.1.31	Labelled peer code: [7 5 11^ -9 13 3 -1]/- - + * + + - 	shortcut_crossing: 0 0 1 0 1 0 1 
k3.1.32	Labelled peer code: [9 7 11 3 13 1 5^]/- - - * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.33	Labelled peer code: [9 7 11 3 13 1 5^]/- - + * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.34	Labelled peer code: [9 7 11 3 13 1 5^]/+ - - * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.35	Labelled peer code: [9 7 11 3 13 1 5^]/+ - + * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.36	Labelled peer code: [7 9 11 1 13 3 5^]/- + + * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.37	Labelled peer code: [7 9 11 1 13 5 3^]/- - - * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.38	Labelled peer code: [7 9 11 1 13 5 3^]/- - + * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.39	Labelled peer code: [7 9 11 1 13 5 3^]/- + - * + * - 	shortcut_crossing: 0 0 0 0 1 0 -1 
k3.1.40	Labelled peer code: [-5 -11 -15 -1 13 7 -3 9^]/- - + * - * * - 	shortcut_crossing: 0 0 -1 0 0 0 0 -1 
k3.1.41	Labelled peer code: [-5 -11 -15 -1 13 7 -3 9^]/+ - + * - * * - 	shortcut_crossing: 0 0 -1 0 0 0 0 -1 
k3.1.42	Labelled peer code: [-5 -11 -15 -1 13 7 -3 9^]/- - + * + * * - 	shortcut_crossing: 0 0 -1 0 0 0 0 -1 
k3.1.43	Labelled peer code: [5 15 -11 1 -13 -3 -7 -9^]/- + * * - - * - 	shortcut_crossing: 0 1 0 0 0 0 0 1 
k3.1.44	Labelled peer code: [5 15 -11 1 -13 -3 -7 -9^]/- + * * + - * - 	shortcut_crossing: 0 1 0 0 0 0 0 1 
k3.1.45	Labelled peer code: [5 15 -11 1 -13 -3 -7 -9^]/+ + * * - - * - 	shortcut_crossing: 0 1 0 0 0 0 0 1 
k3.1.46	Labelled peer code: [5 11 15 3 13 7 1 9^]/- - + * - * * - 	shortcut_crossing: 0 0 1 0 0 0 0 -1 
k3.1.47	Labelled peer code: [5 11 15 3 13 7 1 9^]/+ - + * - * * - 	shortcut_crossing: 0 0 1 0 0 0 0 -1 
k3.1.48	Labelled peer code: [5 11 15 3 13 7 1 9^]/+ - + * + * * - 	shortcut_crossing: 0 0 1 0 0 0 0 -1 
k3.1.49	Labelled peer code: [11 7 1 13 3 15 9 5^]/- * * - - + * - 	shortcut_crossing: 0 0 0 0 0 1 0 -1 
k3.1.50	Labelled peer code: [11 7 1 13 3 15 9 5^]/- * * + - + * - 	shortcut_crossing: 0 0 0 0 0 1 0 -1 
k3.1.51	Labelled peer code: [9 7 -13^ 3 -11 15 -5 -1]/+ - + * * + + - 	shortcut_crossing: 0 0 -1 0 0 1 0 1 
k3.1.52	Labelled peer code: [9 7 -13^ 3 -11 15 -5 -1]/- + + * * + + - 	shortcut_crossing: 0 0 -1 0 0 1 0 1 
k3.1.53	Labelled peer code: [9 11 -13^ 3 15 7 -5 1]/- * + - + * - - 	shortcut_crossing: 0 0 -1 0 1 0 0 -1 
k3.1.54	Labelled peer code: [9 11 -13^ 3 15 7 -5 1]/- * + - + * + - 	shortcut_crossing: 0 0 -1 0 1 0 0 -1 
k3.1.55	Labelled peer code: [7 -13^ -11 -9 15 -1 -3 -5]/+ + * + + * + - 	shortcut_crossing: 0 -1 0 0 1 0 0 1 
k3.1.56	Labelled peer code: [7 -13^ -11 -9 15 -1 -3 -5]/- + * + + * + - 	shortcut_crossing: 0 -1 0 0 1 0 0 1 

normalized knotoid bracket polynomials calculated during processing:

knotoid 3.1.1: -A^16u+A^12+A^8u-A^8+A^4

knotoid 3.1.2: -A^12u^2+A^12u-A^10u^2+A^8u-A^8+A^6u^2+A^4

knotoid 3.1.3: A^8u-A^4u^2+A^4u-A^4+A^-2u^2-A^2u^2+1

knotoid 3.1.4: -A^8u+A^8+u

knotoid 3.1.5: -A^12u^2+A^12u-A^10+A^8u-A^8+A^6+A^4

knotoid 3.1.6: -A^4u^2+A^4u+u

knotoid 3.1.7: A^8u-A^4u^2+A^4u-A^4+A^-2-A^2+1

knotoid 3.1.8: -A^16u^2+A^12u^2-A^8u^2+A^8u+A^4u

knotoid 3.1.9: A^8-A^4+A^-2u^-2-A^2u^-2+1

knotoid 3.1.10: -A^10u^-2+A^6u^-2+A^4

knotoid 3.1.11: A^8u^2-2A^4u^2+A^4u+A^-2u-A^2u^2+A^2u-A^2+u

knotoid 3.1.12: -A^-6u^2+A^-6u-A^-4u^2+A^-4u+A^-2u-A^-2+u

knotoid 3.1.13: -A^10u^2+A^10u-A^10-A^8u^2+A^8u+A^6u+A^4u

knotoid 3.1.14: A^6u-A^6-A^4u^2+A^4u-A^2u^2+A^2u+u

knotoid 3.1.15: A^8u^-2-2A^4u^-2+A^4u^-1+A^-2u^-3-A^2u^-4+A^2u^-3-A^2u^-2+u^-1

knotoid 3.1.16: -A^-6u^-4+A^-6u^-3-A^-4u^-2+A^-4u^-1+A^-2u^-3-A^-2u^-2+u^-1

knotoid 3.1.17: -A^10u^-4+A^10u^-3-A^10u^-2-A^8u^-2+A^8u^-1+A^6u^-3+A^4u^-1

knotoid 3.1.18: A^6u^-3-A^6u^-2-A^4u^-2+A^4u^-1-A^2u^-4+A^2u^-3+u^-1

knotoid 3.1.19: A^6u^-1-A^6-A^4u^-2+2A^4u^-1-A^4-A^2u^-2+A^2u^-1-u^-2+2u^-1

knotoid 3.1.20: A^12u^-1-A^12-A^10u^-2+A^10u^-1-A^10-2A^8u^-2+2A^8u^-1+A^6u^-1+A^4u^-1

knotoid 3.1.21: -A^-6u^-2+A^-6u^-1-A^-4u^-2+2A^-4u^-1-A^-4+A^-2u^-1-A^-2-u^-2+2u^-1

knotoid 3.1.22: A^8u^-1-2A^4u^-2+2A^4u^-1-A^4+A^-2u^-1-A^2u^-2+A^2u^-1-A^2+u^-1

knotoid 3.1.23: -A^-6u^-2+A^-6u^-1-A^-4u^-4+A^-4u^-3-A^-4u^-2+A^-4u^-1+A^-2u^-1-A^-2+u^-3-u^-2+u^-1

knotoid 3.1.24: A^6u^-1-A^6-A^4u^-4+A^4u^-3-A^4u^-2+A^4u^-1-A^2u^-2+A^2u^-1+u^-3-u^-2+u^-1

knotoid 3.1.25: A^8u^-3-A^4u^-4+A^4u^-3-2A^4u^-2+A^4u^-1+A^-2u^-1-A^2u^-2+A^2u^-1-A^2+u^-1

knotoid 3.1.26: -A^12u^-4+A^12u^-3-A^10u^-2+A^10u^-1-A^10+A^8u^-3-2A^8u^-2+A^8u^-1+A^6u^-1+A^4u^-1

knotoid 3.1.27: -A^-16u^-1+A^-12u^-2-2A^-8u^-2+2A^-8u^-1+A^-4u^-1

knotoid 3.1.28: -A^-12u^-4+A^-12u^-3-A^-10u^-4+A^-10u^-3-A^-10u^-2+A^-8u^-3-2A^-8u^-2+A^-8u^-1+A^-6u^-3+A^-4u^-1

knotoid 3.1.29: -A^-6u^-4+A^-6u^-3-A^-4u^-4+A^-4u^-3-A^-4u^-2+A^-4u^-1+A^-2u^-3-A^-2u^-2+u^-3-u^-2+u^-1

knotoid 3.1.30: A^-6u^-3-A^-6u^-2-A^-4u^-4+A^-4u^-3-A^-4u^-2+A^-4u^-1-A^-2u^-4+A^-2u^-3+u^-3-u^-2+u^-1

knotoid 3.1.31: A^8u^-3-A^4u^-4+A^4u^-3-2A^4u^-2+A^4u^-1+A^-2u^-3-A^2u^-4+A^2u^-3-A^2u^-2+u^-1

knotoid 3.1.32: A^12u^-1-A^12-A^10u^2+A^10u-A^10-2A^8u^-2+2A^8u^-1+A^6u+A^4u^-1

knotoid 3.1.33: A^8u^-1-2A^4u^-2+2A^4u^-1-A^4+A^-2u-A^2u^2+A^2u-A^2+u^-1

knotoid 3.1.34: -A^6u^2+A^6u-A^4u^-2+2A^4u^-1-A^4+A^2u-A^2-u^-2+2u^-1

knotoid 3.1.35: A^-6u-A^-6-A^-4u^-2+2A^-4u^-1-A^-4-A^-2u^2+A^-2u-u^-2+2u^-1

knotoid 3.1.36: A^-8u^2-A^-8u-A^-4u^2+A^-4u-u^2+2u

knotoid 3.1.37: -A^16+A^12u^-1+A^12u-A^12+A^8u^-1+A^8u-2A^8+A^4

knotoid 3.1.38: A^8u^-1-A^8+A^4u^-1+A^4u-2A^4+u

knotoid 3.1.39: A^4u^-1+A^4u-2A^4+u^-1+u-1

knotoid 3.1.40: -A^-4u^4+A^-4u^2+u^2

knotoid 3.1.41: A^8u^4-2A^4u^4+A^4u^2+A^-2u^2-A^2u^2+u^2

knotoid 3.1.42: -A^-10u^2-A^-8u^4+A^-8u^2+A^-6u^2+A^-4u^2

knotoid 3.1.43: -A^-4u^-4+A^-4u^-3-u^-4+u^-3+u^-2

knotoid 3.1.44: A^8u^-3-2A^4u^-4+A^4u^-3+A^-2u^-2-A^2u^-2+u^-2

knotoid 3.1.45: A^-12u^-3-A^-12u^-2-A^-10u^-2-2A^-8u^-4+A^-8u^-3+A^-8u^-2+A^-6u^-2+A^-4u^-2

knotoid 3.1.46: -A^10u^-2-A^10u^2+A^10+A^6+A^4

knotoid 3.1.47: -A^6u^2+A^6-A^2u^-2+A^2+1

knotoid 3.1.48: A^-8-A^-4-A^-2u^-2-A^-2u^2+A^-2+A^2+1

knotoid 3.1.49: -A^10u^2+A^10u-A^10-A^8u^-2+A^8u^-1+A^6u+A^4u^-1

knotoid 3.1.50: A^8u^-2-2A^4u^-2+A^4u^-1+A^-2u-A^2u^2+A^2u-A^2+u^-1

knotoid 3.1.51: -A^6u^2+A^6u-A^4u^-2+A^4u^-1+A^2u-A^2+u^-1

knotoid 3.1.52: A^6u-A^6-A^4u^-2+A^4u^-1-A^2u^2+A^2u+u^-1

knotoid 3.1.53: A^8u^-1-A^4u^-2+A^4u^-1-A^4+A^-2u^2-A^2u^2+1

knotoid 3.1.54: -A^12u^-2+A^12u^-1-A^10u^2+A^8u^-1-A^8+A^6u^2+A^4

knotoid 3.1.55: A^8u^-1-2A^4u^-2+2A^4u^-1-A^4+A^-2u^-3-A^2u^-4+A^2u^-3-A^2u^-2+u^-1

knotoid 3.1.56: A^12u^-1-A^12-A^10u^-4+A^10u^-3-A^10u^-2-2A^8u^-2+2A^8u^-1+A^6u^-3+A^4u^-1