This table includes the knot designation, followed by the braid representation used by the braid programme, followed by the Alexander polynomial.
Output from braid v5.0.b1
-- L(5)10(1)-a -s1-s2-s3s4s4-s3s2s1-s3s2-s3s4s4-s3-s2-s3 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-b -s1-s2s3s3-s2s1-s2-s4s3s3-s2-s4 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-c -s1-s2s3s3s4s3s3s2s1-s2s3s3-s2-s4s3s3 Alexander polynomial = -2t^6+9t^5-18t^4+22t^3-18t^2+9t-2 -- L(5)10(1)-d s1-s2s3s3-s2-s1-s2-s4s3s3-s2-s4 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-e -s1-s2s3s3-s2s1s4s3s3s2s3s3-s4s3s3-s2 Alexander polynomial = -2t^6+9t^5-18t^4+22t^3-18t^2+9t-2 -- L(5)10(1)-f -s1s2s2-s3s4s3s2s2s1s2s2-s3s2s2-s4-s3 Alexander polynomial = -2t^6+9t^5-18t^4+22t^3-18t^2+9t-2 -- L(5)10(1)-g -s1s2s2s3s2s2s1s4-s3s2s2-s3-s4-s3s2s2 Alexander polynomial = -2t^6+9t^5-18t^4+22t^3-18t^2+9t-2 -- L(5)10(1)-h s1s2-s3s4s4-s3-s2-s1-s3-s2-s3s4s4-s3s2-s3 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-i -s1-s2s3s3-s2s1-s2-s4s3s3-s2-s4 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-j s1-s2s3s3-s2-s1-s2-s4s3s3-s2-s4 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-k -s1s2s2s3s2s2s1s2s2-s3-s4-s3s2s2-s3s4 Alexander polynomial = -2t^6+9t^5-18t^4+22t^3-18t^2+9t-2 -- L(5)10(1)-l s1s2-s3s4s4-s3-s2-s1-s3-s2-s3s4s4-s3s2-s3 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-m s1-s2s3s3-s2-s1-s2-s4s3s3-s2-s4 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-n s1s2-s3s4s4-s3-s2-s1-s3-s2-s3s4s4-s3s2-s3 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-o s1s2-s3s4s4-s3-s2-s1-s3-s2-s3s4s4-s3s2-s3 Alexander polynomial = -t^6+7t^5-19t^4+26t^3-19t^2+7t-1 -- L(5)10(1)-p s1s2s3-s4-s5-s5-s4-s3-s2-s1-s4-s3-s2-s4-s3-s4s5-s4s3s2-s4s3-s4 Alexander polynomial = -5t^4+20t^3-30t^2+20t-5 -- L(5)10(2)-a -s1-s2-s3s4s4-s3s2s1-s3s2-s3-s4-s4-s3-s2-s3 Alexander polynomial = -3t^4+12t^3-18t^2+12t-3 -- L(5)10(2)-b -s1-s2s3s3-s2s1-s2s4s3s3-s2s4 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-c -s1-s2-s3-s3s4s3s3s2s1-s2s3s3-s2-s4s3s3 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-d s1-s2s3s3-s2-s1s2-s4s3s3s2-s4 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-e -s1-s2-s3-s3-s2s1s4s3s3s2s3s3-s4s3s3-s2 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-f -s1s2s2s3s4s3s2s2s1s2s2-s3s2s2-s4s3 Alexander polynomial = 2t^6-7t^5+10t^4-10t^3+10t^2-7t+2 -- L(5)10(2)-g -s1-s2-s2s3s2s2s1s4-s3s2s2-s3-s4-s3s2s2 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-h s1s2-s3s4s4-s3-s2-s1-s3-s2s3s4s4s3s2-s3 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-i -s1-s2s3s3-s2s1-s2-s4-s3-s3-s2-s4 Alexander polynomial = -3t^4+12t^3-18t^2+12t-3 -- L(5)10(2)-j s1s2s3s3s2-s1-s2-s4s3s3-s2-s4 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-k -s1-s2-s2s3s2s2s1s2s2-s3-s4-s3s2s2-s3s4 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-l s1s2-s3s4s4-s3-s2-s1s3-s2-s3s4s4-s3s2s3 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-m s1-s2-s3-s3-s2-s1-s2-s4s3s3-s2-s4 Alexander polynomial = -3t^4+12t^3-18t^2+12t-3 -- L(5)10(2)-n s1s2s3s4s4s3-s2-s1-s3-s2-s3s4s4-s3s2-s3 Alexander polynomial = t^6-5t^5+11t^4-14t^3+11t^2-5t+1 -- L(5)10(2)-o s1s2-s3-s4-s4-s3-s2-s1-s3-s2-s3s4s4-s3s2-s3 Alexander polynomial = -3t^4+12t^3-18t^2+12t-3 -- L(5)10(2)-p s1s2s3s4-s5-s5s4-s3-s2-s1-s4-s3-s2-s4-s3-s4s5-s4s3s2-s4s3-s4 Alexander polynomial = 3t^4-12t^3+18t^2-12t+3 -- L(5)10(3)-a -s1-s2-s3s4s4-s3s2s1-s3s2s3-s4-s4s3-s2-s3 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-b -s1-s2s3s3-s2s1-s2s4-s3-s3-s2s4 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-c -s1-s2-s3-s3s4-s3-s3s2s1-s2s3s3-s2-s4s3s3 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-d s1s2s3s3s2-s1s2-s4s3s3s2-s4 Alexander polynomial = -t^6+3t^5-3t^4+2t^3-3t^2+3t-1 -- L(5)10(3)-e -s1s2-s3-s3s2s1s4s3s3s2s3s3-s4s3s3-s2 Alexander polynomial = -t^6+3t^5-3t^4+2t^3-3t^2+3t-1 -- L(5)10(3)-f -s1-s2-s2s3s4s3s2s2s1s2s2-s3s2s2-s4s3 Alexander polynomial = -t^6+3t^5-3t^4+2t^3-3t^2+3t-1 -- L(5)10(3)-g -s1-s2-s2s3-s2-s2s1s4-s3s2s2-s3-s4-s3s2s2 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-h s1s2-s3s4s4-s3-s2-s1s3-s2s3s4s4s3s2s3 Alexander polynomial = -t^6+3t^5-3t^4+2t^3-3t^2+3t-1 -- L(5)10(3)-i -s1-s2s3s3-s2s1s2-s4-s3-s3s2-s4 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-j s1s2-s3-s3s2-s1-s2-s4s3s3-s2-s4 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-k -s1-s2-s2s3-s2-s2s1s2s2-s3-s4-s3s2s2-s3s4 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-l s1s2s3s4s4s3-s2-s1s3-s2-s3s4s4-s3s2s3 Alexander polynomial = -t^6+3t^5-3t^4+2t^3-3t^2+3t-1 -- L(5)10(3)-m s1-s2-s3-s3-s2-s1-s2s4s3s3-s2s4 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-n s1s2s3-s4-s4s3-s2-s1-s3-s2-s3s4s4-s3s2-s3 Alexander polynomial = t^4-4t^3+6t^2-4t+1 -- L(5)10(3)-o s1s2-s3-s4-s4-s3-s2-s1-s3-s2-s3-s4-s4-s3s2-s3 Alexander polynomial = t^6-t^5-5t^4+10t^3-5t^2-t+1 -- L(5)10(3)-p s1s2s3s4-s5-s5s4-s3-s2-s1s4-s3-s2-s4-s3-s4s5-s4s3s2-s4s3s4 Alexander polynomial = -t^4+4t^3-6t^2+4t-1