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
-- 9(1) -s1-s1-s1-s1-s1-s1-s1-s1-s1 Alexander polynomial = -t^8+t^7-t^6+t^5-t^4+t^3-t^2+t-1 -- 9(2) s1-s2s3s4-s3s2-s3-s2-s1s2-s4-s3-s2-s2-s2-s3 Alexander polynomial = 4t^2-7t+4 -- 9(3) s1s1s1s1s1s1s1s2-s1s2 Alexander polynomial = 2t^6-3t^5+3t^4-3t^3+3t^2-3t+2 -- 9(4) s1s2-s3-s2-s2-s2-s2-s2-s1-s3-s2s3-s2 Alexander polynomial = -3t^4+5t^3-5t^2+5t-3 -- 9(5) s1s2s3s3s4-s3-s2-s1s3s3s2s3-s4s3-s2s4-s3s4 Alexander polynomial = 6t^2-11t+6 -- 9(6) s1-s2-s1-s1-s1-s1-s1-s1-s2-s2 Alexander polynomial = 2t^6-4t^5+5t^4-5t^3+5t^2-4t+2 -- 9(7) -s1-s2-s2-s2-s2-s3-s3s2s1-s2s3-s2-s3 Alexander polynomial = -3t^4+7t^3-9t^2+7t-3 -- 9(8) s1s2s3-s4s3-s2-s1s4-s3-s3-s2-s3s4-s3s2-s3 Alexander polynomial = -2t^4+8t^3-11t^2+8t-2 -- 9(9) s1-s2-s1-s1-s1-s1-s1-s2-s2-s2 Alexander polynomial = 2t^6-4t^5+6t^4-7t^3+6t^2-4t+2 -- 9(10) s1s2-s3s2-s1s3s2s2s3-s2s3s3s3 Alexander polynomial = -4t^4+8t^3-9t^2+8t-4 -- 9(11) -s1s2s2s2s2-s3s2s1s2-s3s2 Alexander polynomial = t^6-5t^5+7t^4-7t^3+7t^2-5t+1 -- 9(12) s1-s2s3s4-s3s2-s3-s2-s1-s2-s4s3-s2-s2 Alexander polynomial = -2t^4+9t^3-13t^2+9t-2 -- 9(13) s1s2-s3s2-s1s3-s2s3s2s2s2s2s3 Alexander polynomial = -4t^4+9t^3-11t^2+9t-4 -- 9(14) -s1s2-s3s2s1s2-s3s4s3-s2s3s2-s4-s3 Alexander polynomial = 2t^4-9t^3+15t^2-9t+2 -- 9(15) -s1s2-s3s2s1s2s2-s3s4s3-s2s3s2-s4 Alexander polynomial = -2t^4+10t^3-15t^2+10t-2 -- 9(16) s1s1s1s1s2s2-s1s2s2s2 Alexander polynomial = 2t^6-5t^5+8t^4-9t^3+8t^2-5t+2 -- 9(17) -s1s2-s3s2s1-s3-s3-s3s2-s3s2 Alexander polynomial = -t^6+5t^5-9t^4+9t^3-9t^2+5t-1 -- 9(18) -s1-s3-s3s2-s3-s2-s2-s2s1-s2s3-s2-s3 Alexander polynomial = -4t^4+10t^3-13t^2+10t-4 -- 9(19) -s1s2-s3s4-s3-s2s1-s4s3s2-s4s3-s4s3-s2s3 Alexander polynomial = 2t^4-10t^3+17t^2-10t+2 -- 9(20) s1-s2s3-s2-s2-s1-s2-s2-s2s3-s2 Alexander polynomial = t^6-5t^5+9t^4-11t^3+9t^2-5t+1 -- 9(21) -s1-s2s3s2s2-s4-s3s2s1s2-s3s2s4s3 Alexander polynomial = -2t^4+11t^3-17t^2+11t-2 -- 9(22) s1-s2s3s3s3-s2-s1-s2s3-s2s3 Alexander polynomial = -t^6+5t^5-10t^4+11t^3-10t^2+5t-1 -- 9(23) s1-s2-s1-s1-s1-s2-s2-s3-s3s2-s3 Alexander polynomial = -4t^4+11t^3-15t^2+11t-4 -- 9(24) -s1-s2-s2s3s3s3-s2s1-s2s3-s2 Alexander polynomial = t^6-5t^5+10t^4-13t^3+10t^2-5t+1 -- 9(25) s1-s2-s3-s3-s3-s2-s1s3s4-s3-s2s3-s2s4 Alexander polynomial = -3t^4+12t^3-17t^2+12t-3 -- 9(26) -s1s2s2s2-s3s2s1-s3s2-s3s2 Alexander polynomial = -t^6+5t^5-11t^4+13t^3-11t^2+5t-1 -- 9(27) s1-s2s3-s2-s2-s1-s2s3-s2s3s3 Alexander polynomial = t^6-5t^5+11t^4-15t^3+11t^2-5t+1 -- 9(28) s1-s2s3-s2-s2-s1-s2-s2s3s3-s2 Alexander polynomial = -t^6+5t^5-12t^4+15t^3-12t^2+5t-1 -- 9(29) s1-s2s3-s2-s2s1-s2s3-s2 Alexander polynomial = -t^6+5t^5-12t^4+15t^3-12t^2+5t-1 -- 9(30) -s1s2-s3s2-s1s2s2-s1-s3 Alexander polynomial = t^6-5t^5+12t^4-17t^3+12t^2-5t+1 -- 9(31) s1-s2s3-s2-s2-s1-s2-s2s3-s2s3 Alexander polynomial = -t^6+5t^5-13t^4+17t^3-13t^2+5t-1 -- 9(32) -s1s2-s1-s3s2-s3s2-s3-s3 Alexander polynomial = -t^6+6t^5-14t^4+17t^3-14t^2+6t-1 -- 9(33) -s1-s2s3-s2s3s3-s2s1-s2s3-s2 Alexander polynomial = t^6-6t^5+14t^4-19t^3+14t^2-6t+1 -- 9(34) -s1s2-s3s2-s1s2-s1-s3s2 Alexander polynomial = t^6-6t^5+16t^4-23t^3+16t^2-6t+1 -- 9(35) -s1-s2-s3-s3-s4s3s2s1-s3-s3-s4s3s2-s3s4-s3-s2-s4 Alexander polynomial = 7t^2-13t+7 -- 9(36) -s1s2-s3s2s1s2s2s2-s3s2s2 Alexander polynomial = t^6-5t^5+8t^4-9t^3+8t^2-5t+1 -- 9(37) -s1-s2s3-s4s3s2s1s3-s4s3s2-s3s4-s3-s2-s4 Alexander polynomial = 2t^4-11t^3+19t^2-11t+2 -- 9(38) -s1s2s3-s2s3s2s2s1s1s2s2s3-s2 Alexander polynomial = -5t^4+14t^3-19t^2+14t-5 -- 9(39) -s1s2-s3s2s1s2s3-s4s3s3s2-s3-s4s3 Alexander polynomial = -3t^4+14t^3-21t^2+14t-3 -- 9(40) -s1s2-s1-s3s2-s1-s3s2-s3 Alexander polynomial = -t^6+7t^5-18t^4+23t^3-18t^2+7t-1 -- 9(41) -s1s2-s3s2s4-s3s2s1-s2-s2-s3-s4-s3s2 Alexander polynomial = 3t^4-12t^3+19t^2-12t+3 -- 9(42) -s1s2-s3s2s1s2s2s2-s3-s2-s2 Alexander polynomial = t^4-2t^3+t^2-2t+1 -- 9(43) s1s2s3s3s3s2-s1-s2s3-s2s3 Alexander polynomial = t^6-3t^5+2t^4-t^3+2t^2-3t+1 -- 9(44) s1s2-s3-s3-s3s2-s1s3s4-s3-s2s3-s2s4 Alexander polynomial = t^4-4t^3+7t^2-4t+1 -- 9(45) -s1s2-s3s2-s1-s2-s2-s1-s3 Alexander polynomial = t^4-6t^3+9t^2-6t+1 -- 9(46) -s1-s2-s3s4s3s3s2s1-s3-s3-s4s3s2-s3s4-s3-s2-s4 Alexander polynomial = -2t^2+5t-2 -- 9(47) -s1s2-s1s3s2-s1s2s3s2 Alexander polynomial = -t^6+4t^5-6t^4+5t^3-6t^2+4t-1 -- 9(48) -s1-s2s3-s4s3s2s1s3-s4s3s2s3-s4s3-s2s4 Alexander polynomial = -t^4+7t^3-11t^2+7t-1 -- 9(49) s1s2s2s3-s4s3-s2-s1s2s3s2s4s3s2 Alexander polynomial = 3t^4-6t^3+7t^2-6t+3