KnotTableData

KnotsUpTo12={Knot[3,1],Knot[4,1],Knot[5,1],Knot[5,2],Knot[6,1],Knot[6,2],Knot[6,3],Knot[7,1],Knot[7,2],Knot[7,3],Knot[7,4],Knot[7,5],Knot[7,6],Knot[7,7],Knot[8,1],Knot[8,2],Knot[8,3],Knot[8,4],Knot[8,5],Knot[8,6],Knot[8,7],Knot[8,8],Knot[8,9],Knot[8,10],Knot[8,11],Knot[8,12],Knot[8,13],Knot[8,14],Knot[8,15],Knot[8,16],Knot[8,17],Knot[8,18],Knot[8,19],Knot[8,20],Knot[8,21],Knot[9,1],Knot[9,2],Knot[9,3],Knot[9,4],Knot[9,5],Knot[9,6],Knot[9,7],Knot[9,8],Knot[9,9],Knot[9,10],Knot[9,11],Knot[9,12],Knot[9,13],Knot[9,14],Knot[9,15],Knot[9,16],Knot[9,17],Knot[9,18],Knot[9,19],Knot[9,20],Knot[9,21],Knot[9,22],Knot[9,23],Knot[9,24],Knot[9,25],Knot[9,26],Knot[9,27],Knot[9,28],Knot[9,29],Knot[9,30],Knot[9,31],Knot[9,32],Knot[9,33],Knot[9,34],Knot[9,35],Knot[9,36],Knot[9,37],Knot[9,38],Knot[9,39],Knot[9,40],Knot[9,41],Knot[9,42],Knot[9,43],Knot[9,44],Knot[9,45],Knot[9,46],Knot[9,47],Knot[9,48],Knot[9,49],Knot[10,1],Knot[10,2],Knot[10,3],Knot[10,4],Knot[10,5],Knot[10,6],Knot[10,7],Knot[10,8],Knot[10,9],Knot[10,10],Knot[10,11],Knot[10,12],Knot[10,13],Knot[10,14],Knot[10,15],Knot[10,16],Knot[10,17],Knot[10,18],Knot[10,19],Knot[10,20],Knot[10,21],Knot[10,22],Knot[10,23],Knot[10,24],Knot[10,25],Knot[10,26],Knot[10,27],Knot[10,28],Knot[10,29],Knot[10,30],Knot[10,31],Knot[10,32],Knot[10,33],Knot[10,34],Knot[10,35],Knot[10,36],Knot[10,37],Knot[10,38],Knot[10,39],Knot[10,40],Knot[10,41],Knot[10,42],Knot[10,43],Knot[10,44],Knot[10,45],Knot[10,46],Knot[10,47],Knot[10,48],Knot[10,49],Knot[10,50],Knot[10,51],Knot[10,52],Knot[10,53],Knot[10,54],Knot[10,55],Knot[10,56],Knot[10,57],Knot[10,58],Knot[10,59],Knot[10,60],Knot[10,61],Knot[10,62],Knot[10,63],Knot[10,64],Knot[10,65],Knot[10,66],Knot[10,67],Knot[10,68],Knot[10,69],Knot[10,70],Knot[10,71],Knot[10,72],Knot[10,73],Knot[10,74],Knot[10,75],Knot[10,76],Knot[10,77],Knot[10,78],Knot[10,79],Knot[10,80],Knot[10,81],Knot[10,82],Knot[10,83],Knot[10,84],Knot[10,85],Knot[10,86],Knot[10,87],Knot[10,88],Knot[10,89],Knot[10,90],Knot[10,91],Knot[10,92],Knot[10,93],Knot[10,94],Knot[10,95],Knot[10,96],Knot[10,97],Knot[10,98],Knot[10,99],Knot[10,100],Knot[10,101],Knot[10,102],Knot[10,103],Knot[10,104],Knot[10,105],Knot[10,106],Knot[10,107],Knot[10,108],Knot[10,109],Knot[10,110],Knot[10,111],Knot[10,112],Knot[10,113],Knot[10,114],Knot[10,115],Knot[10,116],Knot[10,117],Knot[10,118],Knot[10,119],Knot[10,120],Knot[10,121],Knot[10,122],Knot[10,123],Knot[10,124],Knot[10,125],Knot[10,126],Knot[10,127],Knot[10,128],Knot[10,129],Knot[10,130],Knot[10,131],Knot[10,132],Knot[10,133],Knot[10,134],Knot[10,135],Knot[10,136],Knot[10,137],Knot[10,138],Knot[10,139],Knot[10,140],Knot[10,141],Knot[10,142],Knot[10,143],Knot[10,144],Knot[10,145],Knot[10,146],Knot[10,147],Knot[10,148],Knot[10,149],Knot[10,150],Knot[10,151],Knot[10,152],Knot[10,153],Knot[10,154],Knot[10,155],Knot[10,156],Knot[10,157],Knot[10,158],Knot[10,159],Knot[10,160],Knot[10,161],Knot[10,162],Knot[10,163],Knot[10,164],Knot[10,165],Knot[11,Alternating,1],Knot[11,Alternating,2],Knot[11,Alternating,3],Knot[11,Alternating,4],Knot[11,Alternating,5],Knot[11,Alternating,6],Knot[11,Alternating,7],Knot[11,Alternating,8],Knot[11,Alternating,9],Knot[11,Alternating,10],Knot[11,Alternating,11],Knot[11,Alternating,12],Knot[11,Alternating,13],Knot[11,Alternating,14],Knot[11,Alternating,15],Knot[11,Alternating,16],Knot[11,Alternating,17],Knot[11,Alternating,18],Knot[11,Alternating,19],Knot[11,Alternating,20],Knot[11,Alternating,21],Knot[11,Alternating,22],Knot[11,Alternating,23],Knot[11,Alternating,24],Knot[11,Alternating,25],Knot[11,Alternating,26],Knot[11,Alternating,27],Knot[11,Alternating,28],Knot[11,Alternating,29],Knot[11,Alternating,30],Knot[11,Alternating,31],Knot[11,Alternating,32],Knot[11,Alternating,33],Knot[11,Alternating,34],Knot[11,Alternating,35],Knot[11,Alternating,36],Knot[11,Alternating,37],Knot[11,Alternating,38],Knot[11,Alternating,39],Knot[11,Alternating,40],Knot[11,Alternating,41],Knot[11,Alternating,42],Knot[11,Alternating,43],Knot[11,Alternating,44],Knot[11,Alternating,45],Knot[11,Alternating,46],Knot[11,Alternating,47],Knot[11,Alternating,48],Knot[11,Alternating,49],Knot[11,Alternating,50],Knot[11,Alternating,51],Knot[11,Alternating,52],Knot[11,Alternating,53],Knot[11,Alternating,54],Knot[11,Alternating,55],Knot[11,Alternating,56],Knot[11,Alternating,57],Knot[11,Alternating,58],Knot[11,Alternating,59],Knot[11,Alternating,60],Knot[11,Alternating,61],Knot[11,Alternating,62],Knot[11,Alternating,63],Knot[11,Alternating,64],Knot[11,Alternating,65],Knot[11,Alternating,66],Knot[11,Alternating,67],Knot[11,Alternating,68],Knot[11,Alternating,69],Knot[11,Alternating,70],Knot[11,Alternating,71],Knot[11,Alternating,72],Knot[11,Alternating,73],Knot[11,Alternating,74],Knot[11,Alternating,75],Knot[11,Alternating,76],Knot[11,Alternating,77],Knot[11,Alternating,78],Knot[11,Alternating,79],Knot[11,Alternating,80],Knot[11,Alternating,81],Knot[11,Alternating,82],Knot[11,Alternating,83],Knot[11,Alternating,84],Knot[11,Alternating,85],Knot[11,Alternating,86],Knot[11,Alternating,87],Knot[11,Alternating,88],Knot[11,Alternating,89],Knot[11,Alternating,90],Knot[11,Alternating,91],Knot[11,Alternating,92],Knot[11,Alternating,93],Knot[11,Alternating,94],Knot[11,Alternating,95],Knot[11,Alternating,96],Knot[11,Alternating,97],Knot[11,Alternating,98],Knot[11,Alternating,99],Knot[11,Alternating,100],Knot[11,Alternating,101],Knot[11,Alternating,102],Knot[11,Alternating,103],Knot[11,Alternating,104],Knot[11,Alternating,105],Knot[11,Alternating,106],Knot[11,Alternating,107],Knot[11,Alternating,108],Knot[11,Alternating,109],Knot[11,Alternating,110],Knot[11,Alternating,111],Knot[11,Alternating,112],Knot[11,Alternating,113],Knot[11,Alternating,114],Knot[11,Alternating,115],Knot[11,Alternating,116],Knot[11,Alternating,117],Knot[11,Alternating,118],Knot[11,Alternating,119],Knot[11,Alternating,120],Knot[11,Alternating,121],Knot[11,Alternating,122],Knot[11,Alternating,123],Knot[11,Alternating,124],Knot[11,Alternating,125],Knot[11,Alternating,126],Knot[11,Alternating,127],Knot[11,Alternating,128],Knot[11,Alternating,129],Knot[11,Alternating,130],Knot[11,Alternating,131],Knot[11,Alternating,132],Knot[11,Alternating,133],Knot[11,Alternating,134],Knot[11,Alternating,135],Knot[11,Alternating,136],Knot[11,Alternating,137],Knot[11,Alternating,138],Knot[11,Alternating,139],Knot[11,Alternating,140],Knot[11,Alternating,141],Knot[11,Alternating,142],Knot[11,Alternating,143],Knot[11,Alternating,144],Knot[11,Alternating,145],Knot[11,Alternating,146],Knot[11,Alternating,147],Knot[11,Alternating,148],Knot[11,Alternating,149],Knot[11,Alternating,150],Knot[11,Alternating,151],Knot[11,Alternating,152],Knot[11,Alternating,153],Knot[11,Alternating,154],Knot[11,Alternating,155],Knot[11,Alternating,156],Knot[11,Alternating,157],Knot[11,Alternating,158],Knot[11,Alternating,159],Knot[11,Alternating,160],Knot[11,Alternating,161],Knot[11,Alternating,162],Knot[11,Alternating,163],Knot[11,Alternating,164],Knot[11,Alternating,165],Knot[11,Alternating,166],Knot[11,Alternating,167],Knot[11,Alternating,168],Knot[11,Alternating,169],Knot[11,Alternating,170],Knot[11,Alternating,171],Knot[11,Alternating,172],Knot[11,Alternating,173],Knot[11,Alternating,174],Knot[11,Alternating,175],Knot[11,Alternating,176],Knot[11,Alternating,177],Knot[11,Alternating,178],Knot[11,Alternating,179],Knot[11,Alternating,180],Knot[11,Alternating,181],Knot[11,Alternating,182],Knot[11,Alternating,183],Knot[11,Alternating,184],Knot[11,Alternating,185],Knot[11,Alternating,186],Knot[11,Alternating,187],Knot[11,Alternating,188],Knot[11,Alternating,189],Knot[11,Alternating,190],Knot[11,Alternating,191],Knot[11,Alternating,192],Knot[11,Alternating,193],Knot[11,Alternating,194],Knot[11,Alternating,195],Knot[11,Alternating,196],Knot[11,Alternating,197],Knot[11,Alternating,198],Knot[11,Alternating,199],Knot[11,Alternating,200],Knot[11,Alternating,201],Knot[11,Alternating,202],Knot[11,Alternating,203],Knot[11,Alternating,204],Knot[11,Alternating,205],Knot[11,Alternating,206],Knot[11,Alternating,207],Knot[11,Alternating,208],Knot[11,Alternating,209],Knot[11,Alternating,210],Knot[11,Alternating,211],Knot[11,Alternating,212],Knot[11,Alternating,213],Knot[11,Alternating,214],Knot[11,Alternating,215],Knot[11,Alternating,216],Knot[11,Alternating,217],Knot[11,Alternating,218],Knot[11,Alternating,219],Knot[11,Alternating,220],Knot[11,Alternating,221],Knot[11,Alternating,222],Knot[11,Alternating,223],Knot[11,Alternating,224],Knot[11,Alternating,225],Knot[11,Alternating,226],Knot[11,Alternating,227],Knot[11,Alternating,228],Knot[11,Alternating,229],Knot[11,Alternating,230],Knot[11,Alternating,231],Knot[11,Alternating,232],Knot[11,Alternating,233],Knot[11,Alternating,234],Knot[11,Alternating,235],Knot[11,Alternating,236],Knot[11,Alternating,237],Knot[11,Alternating,238],Knot[11,Alternating,239],Knot[11,Alternating,240],Knot[11,Alternating,241],Knot[11,Alternating,242],Knot[11,Alternating,243],Knot[11,Alternating,244],Knot[11,Alternating,245],Knot[11,Alternating,246],Knot[11,Alternating,247],Knot[11,Alternating,248],Knot[11,Alternating,249],Knot[11,Alternating,250],Knot[11,Alternating,251],Knot[11,Alternating,252],Knot[11,Alternating,253],Knot[11,Alternating,254],Knot[11,Alternating,255],Knot[11,Alternating,256],Knot[11,Alternating,257],Knot[11,Alternating,258],Knot[11,Alternating,259],Knot[11,Alternating,260],Knot[11,Alternating,261],Knot[11,Alternating,262],Knot[11,Alternating,263],Knot[11,Alternating,264],Knot[11,Alternating,265],Knot[11,Alternating,266],Knot[11,Alternating,267],Knot[11,Alternating,268],Knot[11,Alternating,269],Knot[11,Alternating,270],Knot[11,Alternating,271],Knot[11,Alternating,272],Knot[11,Alternating,273],Knot[11,Alternating,274],Knot[11,Alternating,275],Knot[11,Alternating,276],Knot[11,Alternating,277],Knot[11,Alternating,278],Knot[11,Alternating,279],Knot[11,Alternating,280],Knot[11,Alternating,281],Knot[11,Alternating,282],Knot[11,Alternating,283],Knot[11,Alternating,284],Knot[11,Alternating,285],Knot[11,Alternating,286],Knot[11,Alternating,287],Knot[11,Alternating,288],Knot[11,Alternating,289],Knot[11,Alternating,290],Knot[11,Alternating,291],Knot[11,Alternating,292],Knot[11,Alternating,293],Knot[11,Alternating,294],Knot[11,Alternating,295],Knot[11,Alternating,296],Knot[11,Alternating,297],Knot[11,Alternating,298],Knot[11,Alternating,299],Knot[11,Alternating,300],Knot[11,Alternating,301],Knot[11,Alternating,302],Knot[11,Alternating,303],Knot[11,Alternating,304],Knot[11,Alternating,305],Knot[11,Alternating,306],Knot[11,Alternating,307],Knot[11,Alternating,308],Knot[11,Alternating,309],Knot[11,Alternating,310],Knot[11,Alternating,311],Knot[11,Alternating,312],Knot[11,Alternating,313],Knot[11,Alternating,314],Knot[11,Alternating,315],Knot[11,Alternating,316],Knot[11,Alternating,317],Knot[11,Alternating,318],Knot[11,Alternating,319],Knot[11,Alternating,320],Knot[11,Alternating,321],Knot[11,Alternating,322],Knot[11,Alternating,323],Knot[11,Alternating,324],Knot[11,Alternating,325],Knot[11,Alternating,326],Knot[11,Alternating,327],Knot[11,Alternating,328],Knot[11,Alternating,329],Knot[11,Alternating,330],Knot[11,Alternating,331],Knot[11,Alternating,332],Knot[11,Alternating,333],Knot[11,Alternating,334],Knot[11,Alternating,335],Knot[11,Alternating,336],Knot[11,Alternating,337],Knot[11,Alternating,338],Knot[11,Alternating,339],Knot[11,Alternating,340],Knot[11,Alternating,341],Knot[11,Alternating,342],Knot[11,Alternating,343],Knot[11,Alternating,344],Knot[11,Alternating,345],Knot[11,Alternating,346],Knot[11,Alternating,347],Knot[11,Alternating,348],Knot[11,Alternating,349],Knot[11,Alternating,350],Knot[11,Alternating,351],Knot[11,Alternating,352],Knot[11,Alternating,353],Knot[11,Alternating,354],Knot[11,Alternating,355],Knot[11,Alternating,356],Knot[11,Alternating,357],Knot[11,Alternating,358],Knot[11,Alternating,359],Knot[11,Alternating,360],Knot[11,Alternating,361],Knot[11,Alternating,362],Knot[11,Alternating,363],Knot[11,Alternating,364],Knot[11,Alternating,365],Knot[11,Alternating,366],Knot[11,Alternating,367],Knot[11,NonAlternating,1],Knot[11,NonAlternating,2],Knot[11,NonAlternating,3],Knot[11,NonAlternating,4],Knot[11,NonAlternating,5],Knot[11,NonAlternating,6],Knot[11,NonAlternating,7],Knot[11,NonAlternating,8],Knot[11,NonAlternating,9],Knot[11,NonAlternating,10],Knot[11,NonAlternating,11],Knot[11,NonAlternating,12],Knot[11,NonAlternating,13],Knot[11,NonAlternating,14],Knot[11,NonAlternating,15],Knot[11,NonAlternating,16],Knot[11,NonAlternating,17],Knot[11,NonAlternating,18],Knot[11,NonAlternating,19],Knot[11,NonAlternating,20],Knot[11,NonAlternating,21],Knot[11,NonAlternating,22],Knot[11,NonAlternating,23],Knot[11,NonAlternating,24],Knot[11,NonAlternating,25],Knot[11,NonAlternating,26],Knot[11,NonAlternating,27],Knot[11,NonAlternating,28],Knot[11,NonAlternating,29],Knot[11,NonAlternating,30],Knot[11,NonAlternating,31],Knot[11,NonAlternating,32],Knot[11,NonAlternating,33],Knot[11,NonAlternating,34],Knot[11,NonAlternating,35],Knot[11,NonAlternating,36],Knot[11,NonAlternating,37],Knot[11,NonAlternating,38],Knot[11,NonAlternating,39],Knot[11,NonAlternating,40],Knot[11,NonAlternating,41],Knot[11,NonAlternating,42],Knot[11,NonAlternating,43],Knot[11,NonAlternating,44],Knot[11,NonAlternating,45],Knot[11,NonAlternating,46],Knot[11,NonAlternating,47],Knot[11,NonAlternating,48],Knot[11,NonAlternating,49],Knot[11,NonAlternating,50],Knot[11,NonAlternating,51],Knot[11,NonAlternating,52],Knot[11,NonAlternating,53],Knot[11,NonAlternating,54],Knot[11,NonAlternating,55],Knot[11,NonAlternating,56],Knot[11,NonAlternating,57],Knot[11,NonAlternating,58],Knot[11,NonAlternating,59],Knot[11,NonAlternating,60],Knot[11,NonAlternating,61],Knot[11,NonAlternating,62],Knot[11,NonAlternating,63],Knot[11,NonAlternating,64],Knot[11,NonAlternating,65],Knot[11,NonAlternating,66],Knot[11,NonAlternating,67],Knot[11,NonAlternating,68],Knot[11,NonAlternating,69],Knot[11,NonAlternating,70],Knot[11,NonAlternating,71],Knot[11,NonAlternating,72],Knot[11,NonAlternating,73],Knot[11,NonAlternating,74],Knot[11,NonAlternating,75],Knot[11,NonAlternating,76],Knot[11,NonAlternating,77],Knot[11,NonAlternating,78],Knot[11,NonAlternating,79],Knot[11,NonAlternating,80],Knot[11,NonAlternating,81],Knot[11,NonAlternating,82],Knot[11,NonAlternating,83],Knot[11,NonAlternating,84],Knot[11,NonAlternating,85],Knot[11,NonAlternating,86],Knot[11,NonAlternating,87],Knot[11,NonAlternating,88],Knot[11,NonAlternating,89],Knot[11,NonAlternating,90],Knot[11,NonAlternating,91],Knot[11,NonAlternating,92],Knot[11,NonAlternating,93],Knot[11,NonAlternating,94],Knot[11,NonAlternating,95],Knot[11,NonAlternating,96],Knot[11,NonAlternating,97],Knot[11,NonAlternating,98],Knot[11,NonAlternating,99],Knot[11,NonAlternating,100],Knot[11,NonAlternating,101],Knot[11,NonAlternating,102],Knot[11,NonAlternating,103],Knot[11,NonAlternating,104],Knot[11,NonAlternating,105],Knot[11,NonAlternating,106],Knot[11,NonAlternating,107],Knot[11,NonAlternating,108],Knot[11,NonAlternating,109],Knot[11,NonAlternating,110],Knot[11,NonAlternating,111],Knot[11,NonAlternating,112],Knot[11,NonAlternating,113],Knot[11,NonAlternating,114],Knot[11,NonAlternating,115],Knot[11,NonAlternating,116],Knot[11,NonAlternating,117],Knot[11,NonAlternating,118],Knot[11,NonAlternating,119],Knot[11,NonAlternating,120],Knot[11,NonAlternating,121],Knot[11,NonAlternating,122],Knot[11,NonAlternating,123],Knot[11,NonAlternating,124],Knot[11,NonAlternating,125],Knot[11,NonAlternating,126],Knot[11,NonAlternating,127],Knot[11,NonAlternating,128],Knot[11,NonAlternating,129],Knot[11,NonAlternating,130],Knot[11,NonAlternating,131],Knot[11,NonAlternating,132],Knot[11,NonAlternating,133],Knot[11,NonAlternating,134],Knot[11,NonAlternating,135],Knot[11,NonAlternating,136],Knot[11,NonAlternating,137],Knot[11,NonAlternating,138],Knot[11,NonAlternating,139],Knot[11,NonAlternating,140],Knot[11,NonAlternating,141],Knot[11,NonAlternating,142],Knot[11,NonAlternating,143],Knot[11,NonAlternating,144],Knot[11,NonAlternating,145],Knot[11,NonAlternating,146],Knot[11,NonAlternating,147],Knot[11,NonAlternating,148],Knot[11,NonAlternating,149],Knot[11,NonAlternating,150],Knot[11,NonAlternating,151],Knot[11,NonAlternating,152],Knot[11,NonAlternating,153],Knot[11,NonAlternating,154],Knot[11,NonAlternating,155],Knot[11,NonAlternating,156],Knot[11,NonAlternating,157],Knot[11,NonAlternating,158],Knot[11,NonAlternating,159],Knot[11,NonAlternating,160],Knot[11,NonAlternating,161],Knot[11,NonAlternating,162],Knot[11,NonAlternating,163],Knot[11,NonAlternating,164],Knot[11,NonAlternating,165],Knot[11,NonAlternating,166],Knot[11,NonAlternating,167],Knot[11,NonAlternating,168],Knot[11,NonAlternating,169],Knot[11,NonAlternating,170],Knot[11,NonAlternating,171],Knot[11,NonAlternating,172],Knot[11,NonAlternating,173],Knot[11,NonAlternating,174],Knot[11,NonAlternating,175],Knot[11,NonAlternating,176],Knot[11,NonAlternating,177],Knot[11,NonAlternating,178],Knot[11,NonAlternating,179],Knot[11,NonAlternating,180],Knot[11,NonAlternating,181],Knot[11,NonAlternating,182],Knot[11,NonAlternating,183],Knot[11,NonAlternating,184],Knot[11,NonAlternating,185],Knot[12,Alternating,1],Knot[12,Alternating,2],Knot[12,Alternating,3],Knot[12,Alternating,4],Knot[12,Alternating,5],Knot[12,Alternating,6],Knot[12,Alternating,7],Knot[12,Alternating,8],Knot[12,Alternating,9],Knot[12,Alternating,10],Knot[12,Alternating,11],Knot[12,Alternating,12],Knot[12,Alternating,13],Knot[12,Alternating,14],Knot[12,Alternating,15],Knot[12,Alternating,16],Knot[12,Alternating,17],Knot[12,Alternating,18],Knot[12,Alternating,19],Knot[12,Alternating,20],Knot[12,Alternating,21],Knot[12,Alternating,22],Knot[12,Alternating,23],Knot[12,Alternating,24],Knot[12,Alternating,25],Knot[12,Alternating,26],Knot[12,Alternating,27],Knot[12,Alternating,28],Knot[12,Alternating,29],Knot[12,Alternating,30],Knot[12,Alternating,31],Knot[12,Alternating,32],Knot[12,Alternating,33],Knot[12,Alternating,34],Knot[12,Alternating,35],Knot[12,Alternating,36],Knot[12,Alternating,37],Knot[12,Alternating,38],Knot[12,Alternating,39],Knot[12,Alternating,40],Knot[12,Alternating,41],Knot[12,Alternating,42],Knot[12,Alternating,43],Knot[12,Alternating,44],Knot[12,Alternating,45],Knot[12,Alternating,46],Knot[12,Alternating,47],Knot[12,Alternating,48],Knot[12,Alternating,49],Knot[12,Alternating,50],Knot[12,Alternating,51],Knot[12,Alternating,52],Knot[12,Alternating,53],Knot[12,Alternating,54],Knot[12,Alternating,55],Knot[12,Alternating,56],Knot[12,Alternating,57],Knot[12,Alternating,58],Knot[12,Alternating,59],Knot[12,Alternating,60],Knot[12,Alternating,61],Knot[12,Alternating,62],Knot[12,Alternating,63],Knot[12,Alternating,64],Knot[12,Alternating,65],Knot[12,Alternating,66],Knot[12,Alternating,67],Knot[12,Alternating,68],Knot[12,Alternating,69],Knot[12,Alternating,70],Knot[12,Alternating,71],Knot[12,Alternating,72],Knot[12,Alternating,73],Knot[12,Alternating,74],Knot[12,Alternating,75],Knot[12,Alternating,76],Knot[12,Alternating,77],Knot[12,Alternating,78],Knot[12,Alternating,79],Knot[12,Alternating,80],Knot[12,Alternating,81],Knot[12,Alternating,82],Knot[12,Alternating,83],Knot[12,Alternating,84],Knot[12,Alternating,85],Knot[12,Alternating,86],Knot[12,Alternating,87],Knot[12,Alternating,88],Knot[12,Alternating,89],Knot[12,Alternating,90],Knot[12,Alternating,91],Knot[12,Alternating,92],Knot[12,Alternating,93],Knot[12,Alternating,94],Knot[12,Alternating,95],Knot[12,Alternating,96],Knot[12,Alternating,97],Knot[12,Alternating,98],Knot[12,Alternating,99],Knot[12,Alternating,100],Knot[12,Alternating,101],Knot[12,Alternating,102],Knot[12,Alternating,103],Knot[12,Alternating,104],Knot[12,Alternating,105],Knot[12,Alternating,106],Knot[12,Alternating,107],Knot[12,Alternating,108],Knot[12,Alternating,109],Knot[12,Alternating,110],Knot[12,Alternating,111],Knot[12,Alternating,112],Knot[12,Alternating,113],Knot[12,Alternating,114],Knot[12,Alternating,115],Knot[12,Alternating,116],Knot[12,Alternating,117],Knot[12,Alternating,118],Knot[12,Alternating,119],Knot[12,Alternating,120],Knot[12,Alternating,121],Knot[12,Alternating,122],Knot[12,Alternating,123],Knot[12,Alternating,124],Knot[12,Alternating,125],Knot[12,Alternating,126],Knot[12,Alternating,127],Knot[12,Alternating,128],Knot[12,Alternating,129],Knot[12,Alternating,130],Knot[12,Alternating,131],Knot[12,Alternating,132],Knot[12,Alternating,133],Knot[12,Alternating,134],Knot[12,Alternating,135],Knot[12,Alternating,136],Knot[12,Alternating,137],Knot[12,Alternating,138],Knot[12,Alternating,139],Knot[12,Alternating,140],Knot[12,Alternating,141],Knot[12,Alternating,142],Knot[12,Alternating,143],Knot[12,Alternating,144],Knot[12,Alternating,145],Knot[12,Alternating,146],Knot[12,Alternating,147],Knot[12,Alternating,148],Knot[12,Alternating,149],Knot[12,Alternating,150],Knot[12,Alternating,151],Knot[12,Alternating,152],Knot[12,Alternating,153],Knot[12,Alternating,154],Knot[12,Alternating,155],Knot[12,Alternating,156],Knot[12,Alternating,157],Knot[12,Alternating,158],Knot[12,Alternating,159],Knot[12,Alternating,160],Knot[12,Alternating,161],Knot[12,Alternating,162],Knot[12,Alternating,163],Knot[12,Alternating,164],Knot[12,Alternating,165],Knot[12,Alternating,166],Knot[12,Alternating,167],Knot[12,Alternating,168],Knot[12,Alternating,169],Knot[12,Alternating,170],Knot[12,Alternating,171],Knot[12,Alternating,172],Knot[12,Alternating,173],Knot[12,Alternating,174],Knot[12,Alternating,175],Knot[12,Alternating,176],Knot[12,Alternating,177],Knot[12,Alternating,178],Knot[12,Alternating,179],Knot[12,Alternating,180],Knot[12,Alternating,181],Knot[12,Alternating,182],Knot[12,Alternating,183],Knot[12,Alternating,184],Knot[12,Alternating,185],Knot[12,Alternating,186],Knot[12,Alternating,187],Knot[12,Alternating,188],Knot[12,Alternating,189],Knot[12,Alternating,190],Knot[12,Alternating,191],Knot[12,Alternating,192],Knot[12,Alternating,193],Knot[12,Alternating,194],Knot[12,Alternating,195],Knot[12,Alternating,196],Knot[12,Alternating,197],Knot[12,Alternating,198],Knot[12,Alternating,199],Knot[12,Alternating,200],Knot[12,Alternating,201],Knot[12,Alternating,202],Knot[12,Alternating,203],Knot[12,Alternating,204],Knot[12,Alternating,205],Knot[12,Alternating,206],Knot[12,Alternating,207],Knot[12,Alternating,208],Knot[12,Alternating,209],Knot[12,Alternating,210],Knot[12,Alternating,211],Knot[12,Alternating,212],Knot[12,Alternating,213],Knot[12,Alternating,214],Knot[12,Alternating,215],Knot[12,Alternating,216],Knot[12,Alternating,217],Knot[12,Alternating,218],Knot[12,Alternating,219],Knot[12,Alternating,220],Knot[12,Alternating,221],Knot[12,Alternating,222],Knot[12,Alternating,223],Knot[12,Alternating,224],Knot[12,Alternating,225],Knot[12,Alternating,226],Knot[12,Alternating,227],Knot[12,Alternating,228],Knot[12,Alternating,229],Knot[12,Alternating,230],Knot[12,Alternating,231],Knot[12,Alternating,232],Knot[12,Alternating,233],Knot[12,Alternating,234],Knot[12,Alternating,235],Knot[12,Alternating,236],Knot[12,Alternating,237],Knot[12,Alternating,238],Knot[12,Alternating,239],Knot[12,Alternating,240],Knot[12,Alternating,241],Knot[12,Alternating,242],Knot[12,Alternating,243],Knot[12,Alternating,244],Knot[12,Alternating,245],Knot[12,Alternating,246],Knot[12,Alternating,247],Knot[12,Alternating,248],Knot[12,Alternating,249],Knot[12,Alternating,250],Knot[12,Alternating,251],Knot[12,Alternating,252],Knot[12,Alternating,253],Knot[12,Alternating,254],Knot[12,Alternating,255],Knot[12,Alternating,256],Knot[12,Alternating,257],Knot[12,Alternating,258],Knot[12,Alternating,259],Knot[12,Alternating,260],Knot[12,Alternating,261],Knot[12,Alternating,262],Knot[12,Alternating,263],Knot[12,Alternating,264],Knot[12,Alternating,265],Knot[12,Alternating,266],Knot[12,Alternating,267],Knot[12,Alternating,268],Knot[12,Alternating,269],Knot[12,Alternating,270],Knot[12,Alternating,271],Knot[12,Alternating,272],Knot[12,Alternating,273],Knot[12,Alternating,274],Knot[12,Alternating,275],Knot[12,Alternating,276],Knot[12,Alternating,277],Knot[12,Alternating,278],Knot[12,Alternating,279],Knot[12,Alternating,280],Knot[12,Alternating,281],Knot[12,Alternating,282],Knot[12,Alternating,283],Knot[12,Alternating,284],Knot[12,Alternating,285],Knot[12,Alternating,286],Knot[12,Alternating,287],Knot[12,Alternating,288],Knot[12,Alternating,289],Knot[12,Alternating,290],Knot[12,Alternating,291],Knot[12,Alternating,292],Knot[12,Alternating,293],Knot[12,Alternating,294],Knot[12,Alternating,295],Knot[12,Alternating,296],Knot[12,Alternating,297],Knot[12,Alternating,298],Knot[12,Alternating,299],Knot[12,Alternating,300],Knot[12,Alternating,301],Knot[12,Alternating,302],Knot[12,Alternating,303],Knot[12,Alternating,304],Knot[12,Alternating,305],Knot[12,Alternating,306],Knot[12,Alternating,307],Knot[12,Alternating,308],Knot[12,Alternating,309],Knot[12,Alternating,310],Knot[12,Alternating,311],Knot[12,Alternating,312],Knot[12,Alternating,313],Knot[12,Alternating,314],Knot[12,Alternating,315],Knot[12,Alternating,316],Knot[12,Alternating,317],Knot[12,Alternating,318],Knot[12,Alternating,319],Knot[12,Alternating,320],Knot[12,Alternating,321],Kn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ot[12,Alternating,722],Knot[12,Alternating,723],Knot[12,Alternating,724],Knot[12,Alternating,725],Knot[12,Alternating,726],Knot[12,Alternating,727],Knot[12,Alternating,728],Knot[12,Alternating,729],Knot[12,Alternating,730],Knot[12,Alternating,731],Knot[12,Alternating,732],Knot[12,Alternating,733],Knot[12,Alternating,734],Knot[12,Alternating,735],Knot[12,Alternating,736],Knot[12,Alternating,737],Knot[12,Alternating,738],Knot[12,Alternating,739],Knot[12,Alternating,740],Knot[12,Alternating,741],Knot[12,Alternating,742],Knot[12,Alternating,743],Knot[12,Alternating,744],Knot[12,Alternating,745],Knot[12,Alternating,746],Knot[12,Alternating,747],Knot[12,Alternating,748],Knot[12,Alternating,749],Knot[12,Alternating,750],Knot[12,Alternating,751],Knot[12,Alternating,752],Knot[12,Alternating,753],Knot[12,Alternating,754],Knot[12,Alternating,755],Knot[12,Alternating,756],Knot[12,Alternating,757],Knot[12,Alternating,758],Knot[12,Alternating,759],Knot[12,Alternating,760],Knot[12,Alternating,761],Knot[12,Alternating,762],Knot[12,Alternating,763],Knot[12,Alternating,764],Knot[12,Alternating,765],Knot[12,Alternating,766],Knot[12,Alternating,767],Knot[12,Alternating,768],Knot[12,Alternating,769],Knot[12,Alternating,770],Knot[12,Alternating,771],Knot[12,Alternating,772],Knot[12,Alternating,773],Knot[12,Alternating,774],Knot[12,Alternating,775],Knot[12,Alternating,776],Knot[12,Alternating,777],Knot[12,Alternating,778],Knot[12,Alternating,779],Knot[12,Alternating,780],Knot[12,Alternating,781],Knot[12,Alternating,782],Knot[12,Alternating,783],Knot[12,Alternating,784],Knot[12,Alternating,785],Knot[12,Alternating,786],Knot[12,Alternating,787],Knot[12,Alternating,788],Knot[12,Alternating,789],Knot[12,Alternating,790],Knot[12,Alternating,791],Knot[12,Alternating,792],Knot[12,Alternating,793],Knot[12,Alternating,794],Knot[12,Alternating,795],Knot[12,Alternating,796],Knot[12,Alternating,797],Knot[12,Alternating,798],Knot[12,Alternating,799],Knot[12,Alternating,800],Knot[12,Alternating,801],Knot[12,Alternating,802],Knot[12,Alternating,803],Knot[12,Alternating,804],Knot[12,Alternating,805],Knot[12,Alternating,806],Knot[12,Alternating,807],Knot[12,Alternating,808],Knot[12,Alternating,809],Knot[12,Alternating,810],Knot[12,Alternating,811],Knot[12,Alternating,812],Knot[12,Alternating,813],Knot[12,Alternating,814],Knot[12,Alternating,815],Knot[12,Alternating,816],Knot[12,Alternating,817],Knot[12,Alternating,818],Knot[12,Alternating,819],Knot[12,Alternating,820],Knot[12,Alternating,821],Knot[12,Alternating,822],Knot[12,Alternating,823],Knot[12,Alternating,824],Knot[12,Alternating,825],Knot[12,Alternating,826],Knot[12,Alternating,827],Knot[12,Alternating,828],Knot[12,Alternating,829],Knot[12,Alternating,830],Knot[12,Alternating,831],Knot[12,Alternating,832],Knot[12,Alternating,833],Knot[12,Alternating,834],Knot[12,Alternating,835],Knot[12,Alternating,836],Knot[12,Alternating,837],Knot[12,Alternating,838],Knot[12,Alternating,839],Knot[12,Alternating,840],Knot[12,Alternating,841],Knot[12,Alternating,842],Knot[12,Alternating,843],Knot[12,Alternating,844],Knot[12,Alternating,845],Knot[12,Alternating,846],Knot[12,Alternating,847],Knot[12,Alternating,848],Knot[12,Alternating,849],Knot[12,Alternating,850],Knot[12,Alternating,851],Knot[12,Alternating,852],Knot[12,Alternating,853],Knot[12,Alternating,854],Knot[12,Alternating,855],Knot[12,Alternating,856],Knot[12,Alternating,857],Knot[12,Alternating,858],Knot[12,Alternating,859],Knot[12,Alternating,860],Knot[12,Alternating,861],Knot[12,Alternating,862],Knot[12,Alternating,863],Knot[12,Alternating,864],Knot[12,Alternating,865],Knot[12,Alternating,866],Knot[12,Alternating,867],Knot[12,Alternating,868],Knot[12,Alternating,869],Knot[12,Alternating,870],Knot[12,Alternating,871],Knot[12,Alternating,872],Knot[12,Alternating,873],Knot[12,Alternating,874],Knot[12,Alternating,875],Knot[12,Alternating,876],Knot[12,Alternating,877],Knot[12,Alternating,878],Knot[12,Alternating,879],Knot[12,Alternating,880],Knot[12,Alternating,881],Knot[12,Alternating,882],Knot[12,Alternating,883],Knot[12,Alternating,884],Knot[12,Alternating,885],Knot[12,Alternating,886],Knot[12,Alternating,887],Knot[12,Alternating,888],Knot[12,Alternating,889],Knot[12,Alternating,890],Knot[12,Alternating,891],Knot[12,Alternating,892],Knot[12,Alternating,893],Knot[12,Alternating,894],Knot[12,Alternating,895],Knot[12,Alternating,896],Knot[12,Alternating,897],Knot[12,Alternating,898],Knot[12,Alternating,899],Knot[12,Alternating,900],Knot[12,Alternating,901],Knot[12,Alternating,902],Knot[12,Alternating,903],Knot[12,Alternating,904],Knot[12,Alternating,905],Knot[12,Alternating,906],Knot[12,Alternating,907],Knot[12,Alternating,908],Knot[12,Alternating,909],Knot[12,Alternating,910],Knot[12,Alternating,911],Knot[12,Alternating,912],Knot[12,Alternating,913],Knot[12,Alternating,914],Knot[12,Alternating,915],Knot[12,Alternating,916],Knot[12,Alternating,917],Knot[12,Alternating,918],Knot[12,Alternating,919],Knot[12,Alternating,920],Knot[12,Alternating,921],Knot[12,Alternating,922],Knot[12,Alternating,923],Knot[12,Alternating,924],Knot[12,Alternating,925],Knot[12,Alternating,926],Knot[12,Alternating,927],Knot[12,Alternating,928],Knot[12,Alternating,929],Knot[12,Alternating,930],Knot[12,Alternating,931],Knot[12,Alternating,932],Knot[12,Alternating,933],Knot[12,Alternating,934],Knot[12,Alternating,935],Knot[12,Alternating,936],Knot[12,Alternating,937],Knot[12,Alternating,938],Knot[12,Alternating,939],Knot[12,Alternating,940],Knot[12,Alternating,941],Knot[12,Alternating,942],Knot[12,Alternating,943],Knot[12,Alternating,944],Knot[12,Alternating,945],Knot[12,Alternating,946],Knot[12,Alternating,947],Knot[12,Alternating,948],Knot[12,Alternating,949],Knot[12,Alternating,950],Knot[12,Alternating,951],Knot[12,Alternating,952],Knot[12,Alternating,953],Knot[12,Alternating,954],Knot[12,Alternating,955],Knot[12,Alternating,956],Knot[12,Alternating,957],Knot[12,Alternating,958],Knot[12,Alternating,959],Knot[12,Alternating,960],Knot[12,Alternating,961],Knot[12,Alternating,962],Knot[12,Alternating,963],Knot[12,Alternating,964],Knot[12,Alternating,965],Knot[12,Alternating,966],Knot[12,Alternating,967],Knot[12,Alternating,968],Knot[12,Alternating,969],Knot[12,Alternating,970],Knot[12,Alternating,971],Knot[12,Alternating,972],Knot[12,Alternating,973],Knot[12,Alternating,974],Knot[12,Alternating,975],Knot[12,Alternating,976],Knot[12,Alternating,977],Knot[12,Alternating,978],Knot[12,Alternating,979],Knot[12,Alternating,980],Knot[12,Alternating,981],Knot[12,Alternating,982],Knot[12,Alternating,983],Knot[12,Alternating,984],Knot[12,Alternating,985],Knot[12,Alternating,986],Knot[12,Alternating,987],Knot[12,Alternating,988],Knot[12,Alternating,989],Knot[12,Alternating,990],Knot[12,Alternating,991],Knot[12,Alternating,992],Knot[12,Alternating,993],Knot[12,Alternating,994],Knot[12,Alternating,995],Knot[12,Alternating,996],Knot[12,Alternating,997],Knot[12,Alternating,998],Knot[12,Alternating,999],Knot[12,Alternating,1000],Knot[12,Alternating,1001],Knot[12,Alternating,1002],Knot[12,Alternating,1003],Knot[12,Alternating,1004],Knot[12,Alternating,1005],Knot[12,Alternating,1006],Knot[12,Alternating,1007],Knot[12,Alternating,1008],Knot[12,Alternating,1009],Knot[12,Alternating,1010],Knot[12,Alternating,1011],Knot[12,Alternating,1012],Knot[12,Alternating,1013],Knot[12,Alternating,1014],Knot[12,Alternating,1015],Knot[12,Alternating,1016],Knot[12,Alternating,1017],Knot[12,Alternating,1018],Knot[12,Alternating,1019],Knot[12,Alternating,1020],Knot[12,Alternating,1021],Knot[12,Alternating,1022],Knot[12,Alternating,1023],Knot[12,Alternating,1024],Knot[12,Alternating,1025],Knot[12,Alternating,1026],Knot[12,Alternating,1027],Knot[12,Alternating,1028],Knot[12,Alternating,1029],Knot[12,Alternating,1030],Knot[12,Alternating,1031],Knot[12,Alternating,1032],Knot[12,Alternating,1033],Knot[12,Alternating,1034],Knot[12,Alternating,1035],Knot[12,Alternating,1036],Knot[12,Alternating,1037],Knot[12,Alternating,1038],Knot[12,Alternating,1039],Knot[12,Alternating,1040],Knot[12,Alternating,1041],Knot[12,Alternating,1042],Knot[12,Alternating,1043],Knot[12,Alternating,1044],Knot[12,Alternating,1045],Knot[12,Alternating,1046],Knot[12,Alternating,1047],Knot[12,Alternating,1048],Knot[12,Alternating,1049],Knot[12,Alternating,1050],Knot[12,Alternating,1051],Knot[12,Alternating,1052],Knot[12,Alternating,1053],Knot[12,Alternating,1054],Knot[12,Alternating,1055],Knot[12,Alternating,1056],Knot[12,Alternating,1057],Knot[12,Alternating,1058],Knot[12,Alternating,1059],Knot[12,Alternating,1060],Knot[12,Alternating,1061],Knot[12,Alternating,1062],Knot[12,Alternating,1063],Knot[12,Alternating,1064],Knot[12,Alternating,1065],Knot[12,Alternating,1066],Knot[12,Alternating,1067],Knot[12,Alternating,1068],Knot[12,Alternating,1069],Knot[12,Alternating,1070],Knot[12,Alternating,1071],Knot[12,Alternating,1072],Knot[12,Alternating,1073],Knot[12,Alternating,1074],Knot[12,Alternating,1075],Knot[12,Alternating,1076],Knot[12,Alternating,1077],Knot[12,Alternating,1078],Knot[12,Alternating,1079],Knot[12,Alternating,1080],Knot[12,Alternating,1081],Knot[12,Alternating,1082],Knot[12,Alternating,1083],Knot[12,Alternating,1084],Knot[12,Alternating,1085],Knot[12,Alternating,1086],Knot[12,Alternating,1087],Knot[12,Alternating,1088],Knot[12,Alternating,1089],Knot[12,Alternating,1090],Knot[12,Alternating,1091],Knot[12,Alternating,1092],Knot[12,Alternating,1093],Knot[12,Alternating,1094],Knot[12,Alternating,1095],Knot[12,Alternating,1096],Knot[12,Alternating,1097],Knot[12,Alternating,1098],Knot[12,Alternating,1099],Knot[12,Alternating,1100],Knot[12,Alternating,1101],Knot[12,Alternating,1102],Knot[12,Alternating,1103],Knot[12,Alternating,1104],Knot[12,Alternating,1105],Knot[12,Alternating,1106],Knot[12,Alternating,1107],Knot[12,Alternating,1108],Knot[12,Alternating,1109],Knot[12,Alternating,1110],Knot[12,Alternating,1111],Knot[12,Alternating,1112],Knot[12,Alternating,1113],Knot[12,Alternating,1114],Knot[12,Alternating,1115],Knot[12,Alternating,1116],Knot[12,Alternating,1117],Knot[12,Alternating,1118],Knot[12,Alternating,1119],Knot[12,Alternating,1120],Knot[12,Alternating,1121],Knot[12,Alternating,1122],Knot[12,Alternating,1123],Knot[12,Alternating,1124],Knot[12,Alternating,1125],Knot[12,Alternating,1126],Knot[12,Alternating,1127],Knot[12,Alternating,1128],Knot[12,Alternating,1129],Knot[12,Alternating,1130],Knot[12,Alternating,1131],Knot[12,Alternating,1132],Knot[12,Alternating,1133],Knot[12,Alternating,1134],Knot[12,Alternating,1135],Knot[12,Alternating,1136],Knot[12,Alternating,1137],Knot[12,Alternating,1138],Knot[12,Alternating,1139],Knot[12,Alternating,1140],Knot[12,Alternating,1141],Knot[12,Alternating,1142],Knot[12,Alternating,1143],Knot[12,Alternating,1144],Knot[12,Alternating,1145],Knot[12,Alternating,1146],Knot[12,Alternating,1147],Knot[12,Alternating,1148],Knot[12,Alternating,1149],Knot[12,Alternating,1150],Knot[12,Alternating,1151],Knot[12,Alternating,1152],Knot[12,Alternating,1153],Knot[12,Alternating,1154],Knot[12,Alternating,1155],Knot[12,Alternating,1156],Knot[12,Alternating,1157],Knot[12,Alternating,1158],Knot[12,Alternating,1159],Knot[12,Alternating,1160],Knot[12,Alternating,1161],Knot[12,Alternating,1162],Knot[12,Alternating,1163],Knot[12,Alternating,1164],Knot[12,Alternating,1165],Knot[12,Alternating,1166],Knot[12,Alternating,1167],Knot[12,Alternating,1168],Knot[12,Alternating,1169],Knot[12,Alternating,1170],Knot[12,Alternating,1171],Knot[12,Alternating,1172],Knot[12,Alternating,1173],Knot[12,Alternating,1174],Knot[12,Alternating,1175],Knot[12,Alternating,1176],Knot[12,Alternating,1177],Knot[12,Alternating,1178],Knot[12,Alternating,1179],Knot[12,Alternating,1180],Knot[12,Alternating,1181],Knot[12,Alternating,1182],Knot[12,Alternating,1183],Knot[12,Alternating,1184],Knot[12,Alternating,1185],Knot[12,Alternating,1186],Knot[12,Alternating,1187],Knot[12,Alternating,1188],Knot[12,Alternating,1189],Knot[12,Alternating,1190],Knot[12,Alternating,1191],Knot[12,Alternating,1192],Knot[12,Alternating,1193],Knot[12,Alternating,1194],Knot[12,Alternating,1195],Knot[12,Alternating,1196],Knot[12,Alternating,1197],Knot[12,Alternating,1198],Knot[12,Alternating,1199],Knot[12,Alternating,1200],Knot[12,Alternating,1201],Knot[12,Alternating,1202],Knot[12,Alternating,1203],Knot[12,Alternating,1204],Knot[12,Alternating,1205],Knot[12,Alternating,1206],Knot[12,Alternating,1207],Knot[12,Alternating,1208],Knot[12,Alternating,1209],Knot[12,Alternating,1210],Knot[12,Alternating,1211],Knot[12,Alternating,1212],Knot[12,Alternating,1213],Knot[12,Alternating,1214],Knot[12,Alternating,1215],Knot[12,Alternating,1216],Knot[12,Alternating,1217],Knot[12,Alternating,1218],Knot[12,Alternating,1219],Knot[12,Alternating,1220],Knot[12,Alternating,1221],Knot[12,Alternating,1222],Knot[12,Alternating,1223],Knot[12,Alternating,1224],Knot[12,Alternating,1225],Knot[12,Alternating,1226],Knot[12,Alternating,1227],Knot[12,Alternating,1228],Knot[12,Alternating,1229],Knot[12,Alternating,1230],Knot[12,Alternating,1231],Knot[12,Alternating,1232],Knot[12,Alternating,1233],Knot[12,Alternating,1234],Knot[12,Alternating,1235],Knot[12,Alternating,1236],Knot[12,Alternating,1237],Knot[12,Alternating,1238],Knot[12,Alternating,1239],Knot[12,Alternating,1240],Knot[12,Alternating,1241],Knot[12,Alternating,1242],Knot[12,Alternating,1243],Knot[12,Alternating,1244],Knot[12,Alternating,1245],Knot[12,Alternating,1246],Knot[12,Alternating,1247],Knot[12,Alternating,1248],Knot[12,Alternating,1249],Knot[12,Alternating,1250],Knot[12,Alternating,1251],Knot[12,Alternating,1252],Knot[12,Alternating,1253],Knot[12,Alternating,1254],Knot[12,Alternating,1255],Knot[12,Alternating,1256],Knot[12,Alternating,1257],Knot[12,Alternating,1258],Knot[12,Alternating,1259],Knot[12,Alternating,1260],Knot[12,Alternating,1261],Knot[12,Alternating,1262],Knot[12,Alternating,1263],Knot[12,Alternating,1264],Knot[12,Alternating,1265],Knot[12,Alternating,1266],Knot[12,Alternating,1267],Knot[12,Alternating,1268],Knot[12,Alternating,1269],Knot[12,Alternating,1270],Knot[12,Alternating,1271],Knot[12,Alternating,1272],Knot[12,Alternating,1273],Knot[12,Alternating,1274],Knot[12,Alternating,1275],Knot[12,Alternating,1276],Knot[12,Alternating,1277],Knot[12,Alternating,1278],Knot[12,Alternating,1279],Knot[12,Alternating,1280],Knot[12,Alternating,1281],Knot[12,Alternating,1282],Knot[12,Alternating,1283],Knot[12,Alternating,1284],Knot[12,Alternating,1285],Knot[12,Alternating,1286],Knot[12,Alternating,1287],Knot[12,Alternating,1288],Knot[12,NonAlternating,1],Knot[12,NonAlternating,2],Knot[12,NonAlternating,3],Knot[12,NonAlternating,4],Knot[12,NonAlternating,5],Knot[12,NonAlternating,6],Knot[12,NonAlternating,7],Knot[12,NonAlternating,8],Knot[12,NonAlternating,9],Knot[12,NonAlternating,10],Knot[12,NonAlternating,11],Knot[12,NonAlternating,12],Knot[12,NonAlternating,13],Knot[12,NonAlternating,14],Knot[12,NonAlternating,15],Knot[12,NonAlternating,16],Knot[12,NonAlternating,17],Knot[12,NonAlternating,18],Knot[12,NonAlternating,19],Knot[12,NonAlternating,20],Knot[12,NonAlternating,21],Knot[12,NonAlternating,22],Knot[12,NonAlternating,23],Knot[12,NonAlternating,24],Knot[12,NonAlternating,25],Knot[12,NonAlternating,26],Knot[12,NonAlternating,27],Knot[12,NonAlternating,28],Knot[12,NonAlternating,29],Knot[12,NonAlternating,30],Knot[12,NonAlternating,31],Knot[12,NonAlternating,32],Knot[12,NonAlternating,33],Knot[12,NonAlternating,34],Knot[12,NonAlternating,35],Knot[12,NonAlternating,36],Knot[12,NonAlternating,37],Knot[12,NonAlternating,38],Knot[12,NonAlternating,39],Knot[12,NonAlternating,40],Knot[12,NonAlternating,41],Knot[12,NonAlternating,42],Knot[12,NonAlternating,43],Knot[12,NonAlternating,44],Knot[12,NonAlternating,45],Knot[12,NonAlternating,46],Knot[12,NonAlternating,47],Knot[12,NonAlternating,48],Knot[12,NonAlternating,49],Knot[12,NonAlternating,50],Knot[12,NonAlternating,51],Knot[12,NonAlternating,52],Knot[12,NonAlternating,53],Knot[12,NonAlternating,54],Knot[12,NonAlternating,55],Knot[12,NonAlternating,56],Knot[12,NonAlternating,57],Knot[12,NonAlternating,58],Knot[12,NonAlternating,59],Knot[12,NonAlternating,60],Knot[12,NonAlternating,61],Knot[12,NonAlternating,62],Knot[12,NonAlternating,63],Knot[12,NonAlternating,64],Knot[12,NonAlternating,65],Knot[12,NonAlternating,66],Knot[12,NonAlternating,67],Knot[12,NonAlternating,68],Knot[12,NonAlternating,69],Knot[12,NonAlternating,70],Knot[12,NonAlternating,71],Knot[12,NonAlternating,72],Knot[12,NonAlternating,73],Knot[12,NonAlternating,74],Knot[12,NonAlternating,75],Knot[12,NonAlternating,76],Knot[12,NonAlternating,77],Knot[12,NonAlternating,78],Knot[12,NonAlternating,79],Knot[12,NonAlternating,80],Knot[12,NonAlternating,81],Knot[12,NonAlternating,82],Knot[12,NonAlternating,83],Knot[12,NonAlternating,84],Knot[12,NonAlternating,85],Knot[12,NonAlternating,86],Knot[12,NonAlternating,87],Knot[12,NonAlternating,88],Knot[12,NonAlternating,89],Knot[12,NonAlternating,90],Knot[12,NonAlternating,91],Knot[12,NonAlternating,92],Knot[12,NonAlternating,93],Knot[12,NonAlternating,94],Knot[12,NonAlternating,95],Knot[12,NonAlternating,96],Knot[12,NonAlternating,97],Knot[12,NonAlternating,98],Knot[12,NonAlternating,99],Knot[12,NonAlternating,100],Knot[12,NonAlternating,101],Knot[12,NonAlternating,102],Knot[12,NonAlternating,103],Knot[12,NonAlternating,104],Knot[12,NonAlternating,105],Knot[12,NonAlternating,106],Knot[12,NonAlternating,107],Knot[12,NonAlternating,108],Knot[12,NonAlternating,109],Knot[12,NonAlternating,110],Knot[12,NonAlternating,111],Knot[12,NonAlternating,112],Knot[12,NonAlternating,113],Knot[12,NonAlternating,114],Knot[12,NonAlternating,115],Knot[12,NonAlternating,116],Knot[12,NonAlternating,117],Knot[12,NonAlternating,118],Knot[12,NonAlternating,119],Knot[12,NonAlternating,120],Knot[12,NonAlternating,121],Knot[12,NonAlternating,122],Knot[12,NonAlternating,123],Knot[12,NonAlternating,124],Knot[12,NonAlternating,125],Knot[12,NonAlternating,126],Knot[12,NonAlternating,127],Knot[12,NonAlternating,128],Knot[12,NonAlternating,129],Knot[12,NonAlternating,130],Knot[12,NonAlternating,131],Knot[12,NonAlternating,132],Knot[12,NonAlternating,133],Knot[12,NonAlternating,134],Knot[12,NonAlternating,135],Knot[12,NonAlternating,136],Knot[12,NonAlternating,137],Knot[12,NonAlternating,138],Knot[12,NonAlternating,139],Knot[12,NonAlternating,140],Knot[12,NonAlternating,141],Knot[12,NonAlternating,142],Knot[12,NonAlternating,143],Knot[12,NonAlternating,144],Knot[12,NonAlternating,145],Knot[12,NonAlternating,146],Knot[12,NonAlternating,147],Knot[12,NonAlternating,148],Knot[12,NonAlternating,149],Knot[12,NonAlternating,150],Knot[12,NonAlternating,151],Knot[12,NonAlternating,152],Knot[12,NonAlternating,153],Knot[12,NonAlternating,154],Knot[12,NonAlternating,155],Knot[12,NonAlternating,156],Knot[12,NonAlternating,157],Knot[12,NonAlternating,158],Knot[12,NonAlternating,159],Knot[12,NonAlternating,160],Knot[12,NonAlternating,161],Knot[12,NonAlternating,162],Knot[12,NonAlternating,163],Knot[12,NonAlternating,164],Knot[12,NonAlternating,165],Knot[12,NonAlternating,166],Knot[12,NonAlternating,167],Knot[12,NonAlternating,168],Knot[12,NonAlternating,169],Knot[12,NonAlternating,170],Knot[12,NonAlternating,171],Knot[12,NonAlternating,172],Knot[12,NonAlternating,173],Knot[12,NonAlternating,174],Knot[12,NonAlternating,175],Knot[12,NonAlternating,176],Knot[12,NonAlternating,177],Knot[12,NonAlternating,178],Knot[12,NonAlternating,179],Knot[12,NonAlternating,180],Knot[12,NonAlternating,181],Knot[12,NonAlternating,182],Knot[12,NonAlternating,183],Knot[12,NonAlternating,184],Knot[12,NonAlternating,185],Knot[12,NonAlternating,186],Knot[12,NonAlternating,187],Knot[12,NonAlternating,188],Knot[12,NonAlternating,189],Knot[12,NonAlternating,190],Knot[12,NonAlternating,191],Knot[12,NonAlternating,192],Knot[12,NonAlternating,193],Knot[12,NonAlternating,194],Knot[12,NonAlternating,195],Knot[12,NonAlternating,196],Knot[12,NonAlternating,197],Knot[12,NonAlternating,198],Knot[12,NonAlternating,199],Knot[12,NonAlternating,200],Knot[12,NonAlternating,201],Knot[12,NonAlternating,202],Knot[12,NonAlternating,203],Knot[12,NonAlternating,204],Knot[12,NonAlternating,205],Knot[12,NonAlternating,206],Knot[12,NonAlternating,207],Knot[12,NonAlternating,208],Knot[12,NonAlternating,209],Knot[12,NonAlternating,210],Knot[12,NonAlternating,211],Knot[12,NonAlternating,212],Knot[12,NonAlternating,213],Knot[12,NonAlternating,214],Knot[12,NonAlternating,215],Knot[12,NonAlternating,216],Knot[12,NonAlternating,217],Knot[12,NonAlternating,218],Knot[12,NonAlternating,219],Knot[12,NonAlternating,220],Knot[12,NonAlternating,221],Knot[12,NonAlternating,222],Knot[12,NonAlternating,223],Knot[12,NonAlternating,224],Knot[12,NonAlternating,225],Knot[12,NonAlternating,226],Knot[12,NonAlternating,227],Knot[12,NonAlternating,228],Knot[12,NonAlternating,229],Knot[12,NonAlternating,230],Knot[12,NonAlternating,231],Knot[12,NonAlternating,232],Knot[12,NonAlternating,233],Knot[12,NonAlternating,234],Knot[12,NonAlternating,235],Knot[12,NonAlternating,236],Knot[12,NonAlternating,237],Knot[12,NonAlternating,238],Knot[12,NonAlternating,239],Knot[12,NonAlternating,240],Knot[12,NonAlternating,241],Knot[12,NonAlternating,242],Knot[12,NonAlternating,243],Knot[12,NonAlternating,244],Knot[12,NonAlternating,245],Knot[12,NonAlternating,246],Knot[12,NonAlternating,247],Knot[12,NonAlternating,248],Knot[12,NonAlternating,249],Knot[12,NonAlternating,250],Knot[12,NonAlternating,251],Knot[12,NonAlternating,252],Knot[12,NonAlternating,253],Knot[12,NonAlternating,254],Knot[12,NonAlternating,255],Knot[12,NonAlternating,256],Knot[12,NonAlternating,257],Knot[12,NonAlternating,258],Knot[12,NonAlternating,259],Knot[12,NonAlternating,260],Knot[12,NonAlternating,261],Knot[12,NonAlternating,262],Knot[12,NonAlternating,263],Knot[12,NonAlternating,264],Knot[12,NonAlternating,265],Knot[12,NonAlternating,266],Knot[12,NonAlternating,267],Knot[12,NonAlternating,268],Knot[12,NonAlternating,269],Knot[12,NonAlternating,270],Knot[12,NonAlternating,271],Knot[12,NonAlternating,272],Knot[12,NonAlternating,273],Knot[12,NonAlternating,274],Knot[12,NonAlternating,275],Knot[12,NonAlternating,276],Knot[12,NonAlternating,277],Knot[12,NonAlternating,278],Knot[12,NonAlternating,279],Knot[12,NonAlternating,280],Knot[12,NonAlternating,281],Knot[12,NonAlternating,282],Knot[12,NonAlternating,283],Knot[12,NonAlternating,284],Knot[12,NonAlternating,285],Knot[12,NonAlternating,286],Knot[12,NonAlternating,287],Knot[12,NonAlternating,288],Knot[12,NonAlternating,289],Knot[12,NonAlternating,290],Knot[12,NonAlternating,291],Knot[12,NonAlternating,292],Knot[12,NonAlternating,293],Knot[12,NonAlternating,294],Knot[12,NonAlternating,295],Knot[12,NonAlternating,296],Knot[12,NonAlternating,297],Knot[12,NonAlternating,298],Knot[12,NonAlternating,299],Knot[12,NonAlternating,300],Knot[12,NonAlternating,301],Knot[12,NonAlternating,302],Knot[12,NonAlternating,303],Knot[12,NonAlternating,304],Knot[12,NonAlternating,305],Knot[12,NonAlternating,306],Knot[12,NonAlternating,307],Knot[12,NonAlternating,308],Knot[12,NonAlternating,309],Knot[12,NonAlternating,310],Knot[12,NonAlternating,311],Knot[12,NonAlternating,312],Knot[12,NonAlternating,313],Knot[12,NonAlternating,314],Knot[12,NonAlternating,315],Knot[12,NonAlternating,316],Knot[12,NonAlternating,317],Knot[12,NonAlternating,318],Knot[12,NonAlternating,319],Knot[12,NonAlternating,320],Knot[12,NonAlternating,321],Knot[12,NonAlternating,322],Knot[12,NonAlternating,323],Knot[12,NonAlternating,324],Knot[12,NonAlternating,325],Knot[12,NonAlternating,326],Knot[12,NonAlternating,327],Knot[12,NonAlternating,328],Knot[12,NonAlternating,329],Knot[12,NonAlternating,330],Knot[12,NonAlternating,331],Knot[12,NonAlternating,332],Knot[12,NonAlternating,333],Knot[12,NonAlternating,334],Knot[12,NonAlternating,335],Knot[12,NonAlternating,336],Knot[12,NonAlternating,337],Knot[12,NonAlternating,338],Knot[12,NonAlternating,339],Knot[12,NonAlternating,340],Knot[12,NonAlternating,341],Knot[12,NonAlternating,342],Knot[12,NonAlternating,343],Knot[12,NonAlternating,344],Knot[12,NonAlternating,345],Knot[12,NonAlternating,346],Knot[12,NonAlternating,347],Knot[12,NonAlternating,348],Knot[12,NonAlternating,349],Knot[12,NonAlternating,350],Knot[12,NonAlternating,351],Knot[12,NonAlternating,352],Knot[12,NonAlternating,353],Knot[12,NonAlternating,354],Knot[12,NonAlternating,355],Knot[12,NonAlternating,356],Knot[12,NonAlternating,357],Knot[12,NonAlternating,358],Knot[12,NonAlternating,359],Knot[12,NonAlternating,360],Knot[12,NonAlternating,361],Knot[12,NonAlternating,362],Knot[12,NonAlternating,363],Knot[12,NonAlternating,364],Knot[12,NonAlternating,365],Knot[12,NonAlternating,366],Knot[12,NonAlternating,367],Knot[12,NonAlternating,368],Knot[12,NonAlternating,369],Knot[12,NonAlternating,370],Knot[12,NonAlternating,371],Knot[12,NonAlternating,372],Knot[12,NonAlternating,373],Knot[12,NonAlternating,374],Knot[12,NonAlternating,375],Knot[12,NonAlternating,376],Knot[12,NonAlternating,377],Knot[12,NonAlternating,378],Knot[12,NonAlternating,379],Knot[12,NonAlternating,380],Knot[12,NonAlternating,381],Knot[12,NonAlternating,382],Knot[12,NonAlternating,383],Knot[12,NonAlternating,384],Knot[12,NonAlternating,385],Knot[12,NonAlternating,386],Knot[12,NonAlternating,387],Knot[12,NonAlternating,388],Knot[12,NonAlternating,389],Knot[12,NonAlternating,390],Knot[12,NonAlternating,391],Knot[12,NonAlternating,392],Knot[12,NonAlternating,393],Knot[12,NonAlternating,394],Knot[12,NonAlternating,395],Knot[12,NonAlternating,396],Knot[12,NonAlternating,397],Knot[12,NonAlternating,398],Knot[12,NonAlternating,399],Knot[12,NonAlternating,400],Knot[12,NonAlternating,401],Knot[12,NonAlternating,402],Knot[12,NonAlternating,403],Knot[12,NonAlternating,404],Knot[12,NonAlternating,405],Knot[12,NonAlternating,406],Knot[12,NonAlternating,407],Knot[12,NonAlternating,408],Knot[12,NonAlternating,409],Knot[12,NonAlternating,410],Knot[12,NonAlternating,411],Knot[12,NonAlternating,412],Knot[12,NonAlternating,413],Knot[12,NonAlternating,414],Knot[12,NonAlternating,415],Knot[12,NonAlternating,416],Knot[12,NonAlternating,417],Knot[12,NonAlternating,418],Knot[12,NonAlternating,419],Knot[12,NonAlternating,420],Knot[12,NonAlternating,421],Knot[12,NonAlternating,422],Knot[12,NonAlternating,423],Knot[12,NonAlternating,424],Knot[12,NonAlternating,425],Knot[12,NonAlternating,426],Knot[12,NonAlternating,427],Knot[12,NonAlternating,428],Knot[12,NonAlternating,429],Knot[12,NonAlternating,430],Knot[12,NonAlternating,431],Knot[12,NonAlternating,432],Knot[12,NonAlternating,433],Knot[12,NonAlternating,434],Knot[12,NonAlternating,435],Knot[12,NonAlternating,436],Knot[12,NonAlternating,437],Knot[12,NonAlternating,438],Knot[12,NonAlternating,439],Knot[12,NonAlternating,440],Knot[12,NonAlternating,441],Knot[12,NonAlternating,442],Knot[12,NonAlternating,443],Knot[12,NonAlternating,444],Knot[12,NonAlternating,445],Knot[12,NonAlternating,446],Knot[12,NonAlternating,447],Knot[12,NonAlternating,448],Knot[12,NonAlternating,449],Knot[12,NonAlternating,450],Knot[12,NonAlternating,451],Knot[12,NonAlternating,452],Knot[12,NonAlternating,453],Knot[12,NonAlternating,454],Knot[12,NonAlternating,455],Knot[12,NonAlternating,456],Knot[12,NonAlternating,457],Knot[12,NonAlternating,458],Knot[12,NonAlternating,459],Knot[12,NonAlternating,460],Knot[12,NonAlternating,461],Knot[12,NonAlternating,462],Knot[12,NonAlternating,463],Knot[12,NonAlternating,464],Knot[12,NonAlternating,465],Knot[12,NonAlternating,466],Knot[12,NonAlternating,467],Knot[12,NonAlternating,468],Knot[12,NonAlternating,469],Knot[12,NonAlternating,470],Knot[12,NonAlternating,471],Knot[12,NonAlternating,472],Knot[12,NonAlternating,473],Knot[12,NonAlternating,474],Knot[12,NonAlternating,475],Knot[12,NonAlternating,476],Knot[12,NonAlternating,477],Knot[12,NonAlternating,478],Knot[12,NonAlternating,479],Knot[12,NonAlternating,480],Knot[12,NonAlternating,481],Knot[12,NonAlternating,482],Knot[12,NonAlternating,483],Knot[12,NonAlternating,484],Knot[12,NonAlternating,485],Knot[12,NonAlternating,486],Knot[12,NonAlternating,487],Knot[12,NonAlternating,488],Knot[12,NonAlternating,489],Knot[12,NonAlternating,490],Knot[12,NonAlternating,491],Knot[12,NonAlternating,492],Knot[12,NonAlternating,493],Knot[12,NonAlternating,494],Knot[12,NonAlternating,495],Knot[12,NonAlternating,496],Knot[12,NonAlternating,497],Knot[12,NonAlternating,498],Knot[12,NonAlternating,499],Knot[12,NonAlternating,500],Knot[12,NonAlternating,501],Knot[12,NonAlternating,502],Knot[12,NonAlternating,503],Knot[12,NonAlternating,504],Knot[12,NonAlternating,505],Knot[12,NonAlternating,506],Knot[12,NonAlternating,507],Knot[12,NonAlternating,508],Knot[12,NonAlternating,509],Knot[12,NonAlternating,510],Knot[12,NonAlternating,511],Knot[12,NonAlternating,512],Knot[12,NonAlternating,513],Knot[12,NonAlternating,514],Knot[12,NonAlternating,515],Knot[12,NonAlternating,516],Knot[12,NonAlternating,517],Knot[12,NonAlternating,518],Knot[12,NonAlternating,519],Knot[12,NonAlternating,520],Knot[12,NonAlternating,521],Knot[12,NonAlternating,522],Knot[12,NonAlternating,523],Knot[12,NonAlternating,524],Knot[12,NonAlternating,525],Knot[12,NonAlternating,526],Knot[12,NonAlternating,527],Knot[12,NonAlternating,528],Knot[12,NonAlternating,529],Knot[12,NonAlternating,530],Knot[12,NonAlternating,531],Knot[12,NonAlternating,532],Knot[12,NonAlternating,533],Knot[12,NonAlternating,534],Knot[12,NonAlternating,535],Knot[12,NonAlternating,536],Knot[12,NonAlternating,537],Knot[12,NonAlternating,538],Knot[12,NonAlternating,539],Knot[12,NonAlternating,540],Knot[12,NonAlternating,541],Knot[12,NonAlternating,542],Knot[12,NonAlternating,543],Knot[12,NonAlternating,544],Knot[12,NonAlternating,545],Knot[12,NonAlternating,546],Knot[12,NonAlternating,547],Knot[12,NonAlternating,548],Knot[12,NonAlternating,549],Knot[12,NonAlternating,550],Knot[12,NonAlternating,551],Knot[12,NonAlternating,552],Knot[12,NonAlternating,553],Knot[12,NonAlternating,554],Knot[12,NonAlternating,555],Knot[12,NonAlternating,556],Knot[12,NonAlternating,557],Knot[12,NonAlternating,558],Knot[12,NonAlternating,559],Knot[12,NonAlternating,560],Knot[12,NonAlternating,561],Knot[12,NonAlternating,562],Knot[12,NonAlternating,563],Knot[12,NonAlternating,564],Knot[12,NonAlternating,565],Knot[12,NonAlternating,566],Knot[12,NonAlternating,567],Knot[12,NonAlternating,568],Knot[12,NonAlternating,569],Knot[12,NonAlternating,570],Knot[12,NonAlternating,571],Knot[12,NonAlternating,572],Knot[12,NonAlternating,573],Knot[12,NonAlternating,574],Knot[12,NonAlternating,575],Knot[12,NonAlternating,576],Knot[12,NonAlternating,577],Knot[12,NonAlternating,578],Knot[12,NonAlternating,579],Knot[12,NonAlternating,580],Knot[12,NonAlternating,581],Knot[12,NonAlternating,582],Knot[12,NonAlternating,583],Knot[12,NonAlternating,584],Knot[12,NonAlternating,585],Knot[12,NonAlternating,586],Knot[12,NonAlternating,587],Knot[12,NonAlternating,588],Knot[12,NonAlternating,589],Knot[12,NonAlternating,590],Knot[12,NonAlternating,591],Knot[12,NonAlternating,592],Knot[12,NonAlternating,593],Knot[12,NonAlternating,594],Knot[12,NonAlternating,595],Knot[12,NonAlternating,596],Knot[12,NonAlternating,597],Knot[12,NonAlternating,598],Knot[12,NonAlternating,599],Knot[12,NonAlternating,600],Knot[12,NonAlternating,601],Knot[12,NonAlternating,602],Knot[12,NonAlternating,603],Knot[12,NonAlternating,604],Knot[12,NonAlternating,605],Knot[12,NonAlternating,606],Knot[12,NonAlternating,607],Knot[12,NonAlternating,608],Knot[12,NonAlternating,609],Knot[12,NonAlternating,610],Knot[12,NonAlternating,611],Knot[12,NonAlternating,612],Knot[12,NonAlternating,613],Knot[12,NonAlternating,614],Knot[12,NonAlternating,615],Knot[12,NonAlternating,616],Knot[12,NonAlternating,617],Knot[12,NonAlternating,618],Knot[12,NonAlternating,619],Knot[12,NonAlternating,620],Knot[12,NonAlternating,621],Knot[12,NonAlternating,622],Knot[12,NonAlternating,623],Knot[12,NonAlternating,624],Knot[12,NonAlternating,625],Knot[12,NonAlternating,626],Knot[12,NonAlternating,627],Knot[12,NonAlternating,628],Knot[12,NonAlternating,629],Knot[12,NonAlternating,630],Knot[12,NonAlternating,631],Knot[12,NonAlternating,632],Knot[12,NonAlternating,633],Knot[12,NonAlternating,634],Knot[12,NonAlternating,635],Knot[12,NonAlternating,636],Knot[12,NonAlternating,637],Knot[12,NonAlternating,638],Knot[12,NonAlternating,639],Knot[12,NonAlternating,640],Knot[12,NonAlternating,641],Knot[12,NonAlternating,642],Knot[12,NonAlternating,643],Knot[12,NonAlternating,644],Knot[12,NonAlternating,645],Knot[12,NonAlternating,646],Knot[12,NonAlternating,647],Knot[12,NonAlternating,648],Knot[12,NonAlternating,649],Knot[12,NonAlternating,650],Knot[12,NonAlternating,651],Knot[12,NonAlternating,652],Knot[12,NonAlternating,653],Knot[12,NonAlternating,654],Knot[12,NonAlternating,655],Knot[12,NonAlternating,656],Knot[12,NonAlternating,657],Knot[12,NonAlternating,658],Knot[12,NonAlternating,659],Knot[12,NonAlternating,660],Knot[12,NonAlternating,661],Knot[12,NonAlternating,662],Knot[12,NonAlternating,663],Knot[12,NonAlternating,664],Knot[12,NonAlternating,665],Knot[12,NonAlternating,666],Knot[12,NonAlternating,667],Knot[12,NonAlternating,668],Knot[12,NonAlternating,669],Knot[12,NonAlternating,670],Knot[12,NonAlternating,671],Knot[12,NonAlternating,672],Knot[12,NonAlternating,673],Knot[12,NonAlternating,674],Knot[12,NonAlternating,675],Knot[12,NonAlternating,676],Knot[12,NonAlternating,677],Knot[12,NonAlternating,678],Knot[12,NonAlternating,679],Knot[12,NonAlternating,680],Knot[12,NonAlternating,681],Knot[12,NonAlternating,682],Knot[12,NonAlternating,683],Knot[12,NonAlternating,684],Knot[12,NonAlternating,685],Knot[12,NonAlternating,686],Knot[12,NonAlternating,687],Knot[12,NonAlternating,688],Knot[12,NonAlternating,689],Knot[12,NonAlternating,690],Knot[12,NonAlternating,691],Knot[12,NonAlternating,692],Knot[12,NonAlternating,693],Knot[12,NonAlternating,694],Knot[12,NonAlternating,695],Knot[12,NonAlternating,696],Knot[12,NonAlternating,697],Knot[12,NonAlternating,698],Knot[12,NonAlternating,699],Knot[12,NonAlternating,700],Knot[12,NonAlternating,701],Knot[12,NonAlternating,702],Knot[12,NonAlternating,703],Knot[12,NonAlternating,704],Knot[12,NonAlternating,705],Knot[12,NonAlternating,706],Knot[12,NonAlternating,707],Knot[12,NonAlternating,708],Knot[12,NonAlternating,709],Knot[12,NonAlternating,710],Knot[12,NonAlternating,711],Knot[12,NonAlternating,712],Knot[12,NonAlternating,713],Knot[12,NonAlternating,714],Knot[12,NonAlternating,715],Knot[12,NonAlternating,716],Knot[12,NonAlternating,717],Knot[12,NonAlternating,718],Knot[12,NonAlternating,719],Knot[12,NonAlternating,720],Knot[12,NonAlternating,721],Knot[12,NonAlternating,722],Knot[12,NonAlternating,723],Knot[12,NonAlternating,724],Knot[12,NonAlternating,725],Knot[12,NonAlternating,726],Knot[12,NonAlternating,727],Knot[12,NonAlternating,728],Knot[12,NonAlternating,729],Knot[12,NonAlternating,730],Knot[12,NonAlternating,731],Knot[12,NonAlternating,732],Knot[12,NonAlternating,733],Knot[12,NonAlternating,734],Knot[12,NonAlternating,735],Knot[12,NonAlternating,736],Knot[12,NonAlternating,737],Knot[12,NonAlternating,738],Knot[12,NonAlternating,739],Knot[12,NonAlternating,740],Knot[12,NonAlternating,741],Knot[12,NonAlternating,742],Knot[12,NonAlternating,743],Knot[12,NonAlternating,744],Knot[12,NonAlternating,745],Knot[12,NonAlternating,746],Knot[12,NonAlternating,747],Knot[12,NonAlternating,748],Knot[12,NonAlternating,749],Knot[12,NonAlternating,750],Knot[12,NonAlternating,751],Knot[12,NonAlternating,752],Knot[12,NonAlternating,753],Knot[12,NonAlternating,754],Knot[12,NonAlternating,755],Knot[12,NonAlternating,756],Knot[12,NonAlternating,757],Knot[12,NonAlternating,758],Knot[12,NonAlternating,759],Knot[12,NonAlternating,760],Knot[12,NonAlternating,761],Knot[12,NonAlternating,762],Knot[12,NonAlternating,763],Knot[12,NonAlternating,764],Knot[12,NonAlternating,765],Knot[12,NonAlternating,766],Knot[12,NonAlternating,767],Knot[12,NonAlternating,768],Knot[12,NonAlternating,769],Knot[12,NonAlternating,770],Knot[12,NonAlternating,771],Knot[12,NonAlternating,772],Knot[12,NonAlternating,773],Knot[12,NonAlternating,774],Knot[12,NonAlternating,775],Knot[12,NonAlternating,776],Knot[12,NonAlternating,777],Knot[12,NonAlternating,778],Knot[12,NonAlternating,779],Knot[12,NonAlternating,780],Knot[12,NonAlternating,781],Knot[12,NonAlternating,782],Knot[12,NonAlternating,783],Knot[12,NonAlternating,784],Knot[12,NonAlternating,785],Knot[12,NonAlternating,786],Knot[12,NonAlternating,787],Knot[12,NonAlternating,788],Knot[12,NonAlternating,789],Knot[12,NonAlternating,790],Knot[12,NonAlternating,791],Knot[12,NonAlternating,792],Knot[12,NonAlternating,793],Knot[12,NonAlternating,794],Knot[12,NonAlternating,795],Knot[12,NonAlternating,796],Knot[12,NonAlternating,797],Knot[12,NonAlternating,798],Knot[12,NonAlternating,799],Knot[12,NonAlternating,800],Knot[12,NonAlternating,801],Knot[12,NonAlternating,802],Knot[12,NonAlternating,803],Knot[12,NonAlternating,804],Knot[12,NonAlternating,805],Knot[12,NonAlternating,806],Knot[12,NonAlternating,807],Knot[12,NonAlternating,808],Knot[12,NonAlternating,809],Knot[12,NonAlternating,810],Knot[12,NonAlternating,811],Knot[12,NonAlternating,812],Knot[12,NonAlternating,813],Knot[12,NonAlternating,814],Knot[12,NonAlternating,815],Knot[12,NonAlternating,816],Knot[12,NonAlternating,817],Knot[12,NonAlternating,818],Knot[12,NonAlternating,819],Knot[12,NonAlternating,820],Knot[12,NonAlternating,821],Knot[12,NonAlternating,822],Knot[12,NonAlternating,823],Knot[12,NonAlternating,824],Knot[12,NonAlternating,825],Knot[12,NonAlternating,826],Knot[12,NonAlternating,827],Knot[12,NonAlternating,828],Knot[12,NonAlternating,829],Knot[12,NonAlternating,830],Knot[12,NonAlternating,831],Knot[12,NonAlternating,832],Knot[12,NonAlternating,833],Knot[12,NonAlternating,834],Knot[12,NonAlternating,835],Knot[12,NonAlternating,836],Knot[12,NonAlternating,837],Knot[12,NonAlternating,838],Knot[12,NonAlternating,839],Knot[12,NonAlternating,840],Knot[12,NonAlternating,841],Knot[12,NonAlternating,842],Knot[12,NonAlternating,843],Knot[12,NonAlternating,844],Knot[12,NonAlternating,845],Knot[12,NonAlternating,846],Knot[12,NonAlternating,847],Knot[12,NonAlternating,848],Knot[12,NonAlternating,849],Knot[12,NonAlternating,850],Knot[12,NonAlternating,851],Knot[12,NonAlternating,852],Knot[12,NonAlternating,853],Knot[12,NonAlternating,854],Knot[12,NonAlternating,855],Knot[12,NonAlternating,856],Knot[12,NonAlternating,857],Knot[12,NonAlternating,858],Knot[12,NonAlternating,859],Knot[12,NonAlternating,860],Knot[12,NonAlternating,861],Knot[12,NonAlternating,862],Knot[12,NonAlternating,863],Knot[12,NonAlternating,864],Knot[12,NonAlternating,865],Knot[12,NonAlternating,866],Knot[12,NonAlternating,867],Knot[12,NonAlternating,868],Knot[12,NonAlternating,869],Knot[12,NonAlternating,870],Knot[12,NonAlternating,871],Knot[12,NonAlternating,872],Knot[12,NonAlternating,873],Knot[12,NonAlternating,874],Knot[12,NonAlternating,875],Knot[12,NonAlternating,876],Knot[12,NonAlternating,877],Knot[12,NonAlternating,878],Knot[12,NonAlternating,879],Knot[12,NonAlternating,880],Knot[12,NonAlternating,881],Knot[12,NonAlternating,882],Knot[12,NonAlternating,883],Knot[12,NonAlternating,884],Knot[12,NonAlternating,885],Knot[12,NonAlternating,886],Knot[12,NonAlternating,887],Knot[12,NonAlternating,888]};

PDCodesUpTo12={PD[X[1,4,2,5],X[3,6,4,1],X[5,2,6,3]],PD[X[4,2,5,1],X[8,6,1,5],X[6,3,7,4],X[2,7,3,8]],PD[X[1,6,2,7],X[3,8,4,9],X[5,10,6,1],X[7,2,8,3],X[9,4,10,5]],PD[X[1,4,2,5],X[3,8,4,9],X[5,10,6,1],X[9,6,10,7],X[7,2,8,3]],PD[X[1,4,2,5],X[7,10,8,11],X[3,9,4,8],X[9,3,10,2],X[5,12,6,1],X[11,6,12,7]],PD[X[1,4,2,5],X[5,10,6,11],X[3,9,4,8],X[9,3,10,2],X[7,12,8,1],X[11,6,12,7]],PD[X[4,2,5,1],X[8,4,9,3],X[12,9,1,10],X[10,5,11,6],X[6,11,7,12],X[2,8,3,7]],PD[X[1,8,2,9],X[3,10,4,11],X[5,12,6,13],X[7,14,8,1],X[9,2,10,3],X[11,4,12,5],X[13,6,14,7]],PD[X[1,4,2,5],X[3,10,4,11],X[5,14,6,1],X[7,12,8,13],X[11,8,12,9],X[13,6,14,7],X[9,2,10,3]],PD[X[6,2,7,1],X[10,4,11,3],X[14,8,1,7],X[8,14,9,13],X[12,6,13,5],X[2,10,3,9],X[4,12,5,11]],PD[X[6,2,7,1],X[12,6,13,5],X[14,8,1,7],X[8,14,9,13],X[2,12,3,11],X[10,4,11,3],X[4,10,5,9]],PD[X[1,4,2,5],X[3,10,4,11],X[5,12,6,13],X[7,14,8,1],X[13,6,14,7],X[11,8,12,9],X[9,2,10,3]],PD[X[1,4,2,5],X[3,8,4,9],X[5,12,6,13],X[9,1,10,14],X[13,11,14,10],X[11,6,12,7],X[7,2,8,3]],PD[X[1,4,2,5],X[5,10,6,11],X[3,9,4,8],X[9,3,10,2],X[11,14,12,1],X[7,13,8,12],X[13,7,14,6]],PD[X[1,4,2,5],X[9,12,10,13],X[3,11,4,10],X[11,3,12,2],X[5,16,6,1],X[7,14,8,15],X[13,8,14,9],X[15,6,16,7]],PD[X[1,4,2,5],X[5,12,6,13],X[3,11,4,10],X[11,3,12,2],X[7,14,8,15],X[9,16,10,1],X[13,6,14,7],X[15,8,16,9]],PD[X[6,2,7,1],X[14,10,15,9],X[10,5,11,6],X[12,3,13,4],X[4,11,5,12],X[2,13,3,14],X[16,8,1,7],X[8,16,9,15]],PD[X[6,2,7,1],X[14,10,15,9],X[10,3,11,4],X[2,13,3,14],X[12,5,13,6],X[16,8,1,7],X[4,11,5,12],X[8,16,9,15]],PD[X[6,2,7,1],X[8,4,9,3],X[2,8,3,7],X[14,10,15,9],X[12,5,13,6],X[4,13,5,14],X[16,12,1,11],X[10,16,11,15]],PD[X[1,4,2,5],X[9,12,10,13],X[3,11,4,10],X[11,3,12,2],X[5,14,6,15],X[7,16,8,1],X[15,6,16,7],X[13,8,14,9]],PD[X[1,4,2,5],X[3,10,4,11],X[11,1,12,16],X[5,13,6,12],X[7,15,8,14],X[13,7,14,6],X[15,9,16,8],X[9,2,10,3]],PD[X[1,4,2,5],X[3,8,4,9],X[11,15,12,14],X[5,13,6,12],X[13,7,14,6],X[9,1,10,16],X[15,11,16,10],X[7,2,8,3]],PD[X[6,2,7,1],X[14,8,15,7],X[10,3,11,4],X[2,13,3,14],X[12,5,13,6],X[4,11,5,12],X[16,10,1,9],X[8,16,9,15]],PD[X[1,4,2,5],X[3,8,4,9],X[9,15,10,14],X[5,13,6,12],X[13,7,14,6],X[11,1,12,16],X[15,11,16,10],X[7,2,8,3]],PD[X[1,4,2,5],X[5,12,6,13],X[3,11,4,10],X[11,3,12,2],X[9,16,10,1],X[15,6,16,7],X[7,14,8,15],X[13,8,14,9]],PD[X[4,2,5,1],X[10,8,11,7],X[8,3,9,4],X[2,9,3,10],X[14,6,15,5],X[16,11,1,12],X[12,15,13,16],X[6,14,7,13]],PD[X[1,4,2,5],X[3,10,4,11],X[11,1,12,16],X[5,13,6,12],X[15,7,16,6],X[7,15,8,14],X[13,9,14,8],X[9,2,10,3]],PD[X[1,4,2,5],X[5,10,6,11],X[3,9,4,8],X[9,3,10,2],X[7,14,8,15],X[11,16,12,1],X[15,12,16,13],X[13,6,14,7]],PD[X[1,4,2,5],X[3,8,4,9],X[5,12,6,13],X[13,16,14,1],X[9,14,10,15],X[15,10,16,11],X[11,6,12,7],X[7,2,8,3]],PD[X[6,2,7,1],X[14,6,15,5],X[16,11,1,12],X[12,7,13,8],X[8,3,9,4],X[4,9,5,10],X[10,15,11,16],X[2,14,3,13]],PD[X[6,2,7,1],X[14,8,15,7],X[8,3,9,4],X[2,13,3,14],X[12,5,13,6],X[4,9,5,10],X[16,12,1,11],X[10,16,11,15]],PD[X[6,2,7,1],X[8,3,9,4],X[16,11,1,12],X[2,14,3,13],X[4,15,5,16],X[10,6,11,5],X[12,7,13,8],X[14,10,15,9]],PD[X[4,2,5,1],X[8,4,9,3],X[9,15,10,14],X[5,13,6,12],X[13,7,14,6],X[11,1,12,16],X[15,11,16,10],X[2,8,3,7]],PD[X[4,2,5,1],X[8,4,9,3],X[5,12,6,13],X[13,16,14,1],X[9,14,10,15],X[15,10,16,11],X[11,6,12,7],X[2,8,3,7]],PD[X[1,4,2,5],X[3,8,4,9],X[12,6,13,5],X[13,16,14,1],X[9,14,10,15],X[15,10,16,11],X[6,12,7,11],X[7,2,8,3]],PD[X[1,10,2,11],X[3,12,4,13],X[5,14,6,15],X[7,16,8,17],X[9,18,10,1],X[11,2,12,3],X[13,4,14,5],X[15,6,16,7],X[17,8,18,9]],PD[X[1,4,2,5],X[3,12,4,13],X[5,18,6,1],X[7,16,8,17],X[9,14,10,15],X[13,10,14,11],X[15,8,16,9],X[17,6,18,7],X[11,2,12,3]],PD[X[8,2,9,1],X[12,4,13,3],X[18,10,1,9],X[10,18,11,17],X[14,6,15,5],X[16,8,17,7],X[2,12,3,11],X[4,14,5,13],X[6,16,7,15]],PD[X[1,6,2,7],X[3,12,4,13],X[7,18,8,1],X[9,16,10,17],X[15,10,16,11],X[17,8,18,9],X[5,14,6,15],X[11,2,12,3],X[13,4,14,5]],PD[X[6,2,7,1],X[14,6,15,5],X[18,8,1,7],X[16,10,17,9],X[10,16,11,15],X[8,18,9,17],X[2,14,3,13],X[12,4,13,3],X[4,12,5,11]],PD[X[1,4,2,5],X[3,12,4,13],X[5,14,6,15],X[7,16,8,17],X[9,18,10,1],X[15,6,16,7],X[17,8,18,9],X[13,10,14,11],X[11,2,12,3]],PD[X[1,4,2,5],X[3,12,4,13],X[5,16,6,17],X[7,18,8,1],X[17,6,18,7],X[9,14,10,15],X[13,10,14,11],X[15,8,16,9],X[11,2,12,3]],PD[X[1,4,2,5],X[3,8,4,9],X[5,14,6,15],X[9,1,10,18],X[11,17,12,16],X[15,13,16,12],X[17,11,18,10],X[13,6,14,7],X[7,2,8,3]],PD[X[1,6,2,7],X[3,12,4,13],X[7,16,8,17],X[9,18,10,1],X[17,8,18,9],X[15,10,16,11],X[5,14,6,15],X[11,2,12,3],X[13,4,14,5]],PD[X[8,2,9,1],X[12,4,13,3],X[18,10,1,9],X[10,18,11,17],X[16,8,17,7],X[2,12,3,11],X[4,16,5,15],X[14,6,15,5],X[6,14,7,13]],PD[X[1,4,2,5],X[9,12,10,13],X[3,11,4,10],X[11,3,12,2],X[13,1,14,18],X[5,15,6,14],X[7,17,8,16],X[15,7,16,6],X[17,9,18,8]],PD[X[1,4,2,5],X[3,10,4,11],X[5,16,6,17],X[11,1,12,18],X[17,13,18,12],X[7,14,8,15],X[13,8,14,9],X[15,6,16,7],X[9,2,10,3]],PD[X[6,2,7,1],X[14,6,15,5],X[16,8,17,7],X[18,10,1,9],X[8,18,9,17],X[10,16,11,15],X[2,14,3,13],X[12,4,13,3],X[4,12,5,11]],PD[X[1,4,2,5],X[5,12,6,13],X[3,11,4,10],X[11,3,12,2],X[13,18,14,1],X[9,15,10,14],X[7,17,8,16],X[15,9,16,8],X[17,7,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10,21,9],X[22,12,23,11],X[13,3,14,2],X[24,16,1,15],X[17,5,18,4],X[10,20,11,19],X[8,22,9,21],X[18,24,19,23]],PD[X[6,2,7,1],X[12,4,13,3],X[16,6,17,5],X[18,7,19,8],X[22,9,23,10],X[4,12,5,11],X[13,21,14,20],X[2,16,3,15],X[24,17,1,18],X[19,15,20,14],X[8,21,9,22],X[10,23,11,24]],PD[X[6,2,7,1],X[12,3,13,4],X[16,5,17,6],X[18,8,19,7],X[24,10,1,9],X[20,12,21,11],X[4,13,5,14],X[15,22,16,23],X[2,17,3,18],X[8,20,9,19],X[21,14,22,15],X[10,24,11,23]],PD[X[6,2,7,1],X[12,4,13,3],X[16,6,17,5],X[20,7,21,8],X[18,10,19,9],X[4,12,5,11],X[13,23,14,22],X[2,16,3,15],X[10,18,11,17],X[24,19,1,20],X[21,15,22,14],X[8,23,9,24]],PD[X[6,2,7,1],X[12,3,13,4],X[16,5,17,6],X[20,8,21,7],X[22,10,23,9],X[18,12,19,11],X[4,13,5,14],X[15,24,16,1],X[2,17,3,18],X[10,20,11,19],X[8,22,9,21],X[23,14,24,15]],PD[X[6,2,7,1],X[12,3,13,4],X[16,5,17,6],X[22,8,23,7],X[20,10,21,9],X[18,12,19,11],X[4,13,5,14],X[15,24,16,1],X[2,17,3,18],X[10,20,11,19],X[8,22,9,21],X[23,14,24,15]],PD[X[6,2,7,1],X[3,12,4,13],X[16,5,17,6],X[24,8,1,7],X[14,10,15,9],X[11,4,12,5],X[22,14,23,13],X[20,15,21,16],X[2,17,3,18],X[8,19,9,20],X[10,22,11,21],X[18,23,19,24]],PD[X[6,2,7,1],X[3,12,4,13],X[16,5,17,6],X[24,8,1,7],X[9,20,10,21],X[11,4,12,5],X[13,22,14,23],X[15,9,16,8],X[2,17,3,18],X[19,14,20,15],X[21,10,22,11],X[23,19,24,18]],PD[X[6,2,7,1],X[3,12,4,13],X[16,5,17,6],X[24,8,1,7],X[20,10,21,9],X[11,4,12,5],X[22,14,23,13],X[8,15,9,16],X[2,17,3,18],X[14,20,15,19],X[10,22,11,21],X[18,23,19,24]],PD[X[6,2,7,1],X[12,3,13,4],X[18,5,19,6],X[16,8,17,7],X[9,20,10,21],X[11,22,12,23],X[4,13,5,14],X[8,16,9,15],X[24,18,1,17],X[2,19,3,20],X[21,10,22,11],X[14,24,15,23]],PD[X[6,2,7,1],X[12,4,13,3],X[18,6,19,5],X[7,21,8,20],X[2,10,3,9],X[16,12,17,11],X[22,13,23,14],X[4,16,5,15],X[10,18,11,17],X[24,19,1,20],X[21,9,22,8],X[14,23,15,24]],PD[X[6,2,7,1],X[12,4,13,3],X[18,6,19,5],X[20,7,21,8],X[2,10,3,9],X[16,12,17,11],X[13,23,14,22],X[4,16,5,15],X[10,18,11,17],X[24,19,1,20],X[8,21,9,22],X[23,15,24,14]],PD[X[6,2,7,1],X[3,13,4,12],X[18,5,19,6],X[20,8,21,7],X[16,10,17,9],X[22,12,23,11],X[13,5,14,4],X[10,16,11,15],X[24,18,1,17],X[2,19,3,20],X[8,22,9,21],X[14,24,15,23]],PD[X[6,2,7,1],X[3,13,4,12],X[5,18,6,19],X[24,8,1,7],X[9,16,10,17],X[11,23,12,22],X[13,3,14,2],X[15,21,16,20],X[17,4,18,5],X[19,8,20,9],X[21,11,22,10],X[23,15,24,14]],PD[X[6,2,7,1],X[3,13,4,12],X[5,18,6,19],X[24,8,1,7],X[9,20,10,21],X[11,16,12,17],X[13,3,14,2],X[15,23,16,22],X[17,4,18,5],X[19,8,20,9],X[21,10,22,11],X[23,15,24,14]],PD[X[6,2,7,1],X[3,13,4,12],X[5,18,6,19],X[24,8,1,7],X[9,20,10,21],X[11,23,12,22],X[13,3,14,2],X[15,11,16,10],X[17,4,18,5],X[19,8,20,9],X[21,16,22,17],X[23,15,24,14]],PD[X[6,2,7,1],X[3,12,4,13],X[5,20,6,21],X[16,7,17,8],X[22,9,23,10],X[11,2,12,3],X[13,19,14,18],X[24,15,1,16],X[10,17,11,18],X[19,4,20,5],X[14,21,15,22],X[8,23,9,24]],PD[X[6,2,7,1],X[3,12,4,13],X[22,6,23,5],X[20,7,21,8],X[14,10,15,9],X[11,4,12,5],X[18,14,19,13],X[15,24,16,1],X[10,18,11,17],X[8,19,9,20],X[2,22,3,21],X[23,16,24,17]],PD[X[6,2,7,1],X[3,12,4,13],X[22,6,23,5],X[20,7,21,8],X[14,10,15,9],X[11,4,12,5],X[18,14,19,13],X[24,16,1,15],X[10,18,11,17],X[8,19,9,20],X[2,22,3,21],X[16,24,17,23]],PD[X[6,2,7,1],X[3,15,4,14],X[10,6,11,5],X[7,20,8,21],X[2,10,3,9],X[24,11,1,12],X[18,13,19,14],X[15,5,16,4],X[22,18,23,17],X[19,8,20,9],X[12,21,13,22],X[16,24,17,23]],PD[X[6,2,7,1],X[3,15,4,14],X[10,6,11,5],X[20,8,21,7],X[2,10,3,9],X[24,11,1,12],X[18,13,19,14],X[15,5,16,4],X[22,18,23,17],X[8,20,9,19],X[12,21,13,22],X[16,24,17,23]],PD[X[6,2,7,1],X[14,3,15,4],X[10,6,11,5],X[7,20,8,21],X[2,10,3,9],X[24,11,1,12],X[18,13,19,14],X[4,15,5,16],X[22,18,23,17],X[19,8,20,9],X[12,21,13,22],X[16,24,17,23]],PD[X[6,2,7,1],X[14,3,15,4],X[10,5,11,6],X[20,8,21,7],X[24,10,1,9],X[2,11,3,12],X[13,19,14,18],X[4,15,5,16],X[17,22,18,23],X[19,13,20,12],X[8,22,9,21],X[23,16,24,17]],PD[X[6,2,7,1],X[14,3,15,4],X[10,5,11,6],X[20,8,21,7],X[24,10,1,9],X[2,11,3,12],X[13,19,14,18],X[4,15,5,16],X[22,18,23,17],X[19,13,20,12],X[8,22,9,21],X[16,24,17,23]],PD[X[6,2,7,1],X[14,3,15,4],X[18,5,19,6],X[24,8,1,7],X[9,17,10,16],X[20,12,21,11],X[22,14,23,13],X[4,15,5,16],X[17,9,18,8],X[2,19,3,20],X[12,22,13,21],X[10,24,11,23]],PD[X[6,2,7,1],X[14,3,15,4],X[18,5,19,6],X[24,8,1,7],X[9,17,10,16],X[22,12,23,11],X[20,14,21,13],X[4,15,5,16],X[17,9,18,8],X[2,19,3,20],X[12,22,13,21],X[10,24,11,23]],PD[X[6,2,7,1],X[3,16,4,17],X[10,5,11,6],X[20,7,21,8],X[24,10,1,9],X[2,11,3,12],X[18,14,19,13],X[15,4,16,5],X[22,17,23,18],X[8,19,9,20],X[12,22,13,21],X[14,23,15,24]],PD[X[6,2,7,1],X[16,4,17,3],X[12,6,13,5],X[18,8,19,7],X[22,9,23,10],X[2,12,3,11],X[13,20,14,21],X[4,16,5,15],X[10,18,11,17],X[24,20,1,19],X[21,14,22,15],X[8,23,9,24]],PD[X[6,2,7,1],X[16,3,17,4],X[18,6,19,5],X[7,22,8,23],X[2,10,3,9],X[4,11,5,12],X[24,13,1,14],X[20,15,21,16],X[10,18,11,17],X[12,19,13,20],X[21,8,22,9],X[14,23,15,24]],PD[X[6,2,7,1],X[18,3,19,4],X[20,6,21,5],X[7,15,8,14],X[2,10,3,9],X[4,11,5,12],X[24,13,1,14],X[15,9,16,8],X[22,17,23,18],X[10,20,11,19],X[12,21,13,22],X[16,23,17,24]],PD[X[6,2,7,1],X[3,21,4,20],X[5,11,6,10],X[24,8,1,7],X[14,10,15,9],X[11,5,12,4],X[13,19,14,18],X[8,16,9,15],X[22,18,23,17],X[19,13,20,12],X[21,3,22,2],X[16,24,17,23]],PD[X[6,2,7,1],X[3,20,4,21],X[5,12,6,13],X[16,7,17,8],X[18,9,19,10],X[11,4,12,5],X[22,13,23,14],X[24,15,1,16],X[8,17,9,18],X[19,2,20,3],X[21,11,22,10],X[14,23,15,24]],PD[X[6,2,7,1],X[20,4,21,3],X[18,5,19,6],X[7,16,8,17],X[2,10,3,9],X[4,11,5,12],X[22,14,23,13],X[15,8,16,9],X[24,18,1,17],X[10,19,11,20],X[12,22,13,21],X[14,24,15,23]],PD[X[6,2,7,1],X[20,4,21,3],X[18,5,19,6],X[7,16,8,17],X[2,10,3,9],X[4,11,5,12],X[22,14,23,13],X[15,8,16,9],X[24,18,1,17],X[10,19,11,20],X[14,22,15,21],X[12,24,13,23]],PD[X[6,2,7,1],X[20,4,21,3],X[18,5,19,6],X[16,8,17,7],X[2,10,3,9],X[4,11,5,12],X[13,22,14,23],X[8,16,9,15],X[24,18,1,17],X[10,19,11,20],X[21,14,22,15],X[23,12,24,13]],PD[X[8,2,9,1],X[10,3,11,4],X[12,6,13,5],X[18,8,19,7],X[16,9,17,10],X[20,12,21,11],X[13,1,14,24],X[15,23,16,22],X[2,18,3,17],X[6,20,7,19],X[4,21,5,22],X[23,15,24,14]],PD[X[8,2,9,1],X[10,3,11,4],X[12,6,13,5],X[24,8,1,7],X[18,10,19,9],X[20,11,21,12],X[6,14,7,13],X[15,23,16,22],X[2,17,3,18],X[4,20,5,19],X[21,15,22,14],X[23,17,24,16]],PD[X[10,2,11,1],X[12,4,13,3],X[5,21,6,20],X[7,17,8,16],X[9,19,10,18],X[2,12,3,11],X[22,14,23,13],X[24,16,1,15],X[17,9,18,8],X[19,5,20,4],X[21,7,22,6],X[14,24,15,23]]};

Knots=KnotsUpTo12;
PDs=PDCodesUpTo12;
Clear[PD];
While[Length[Knots]>0,
PD[First@Knots]=First@PDs;
Knots=Rest@Knots;
PDs=Rest@PDs;
]
PD[Knot[5,2]];
PositiveQ[X[a_,b_,c_,d_]]:=Switch[b-d==1||b-d<-1,True,True,False,False,_,Print["Help!Weird Crossing Reached"]]

The program

$k=1;γ=1;ℏ=1;

CCF[ℰ_] := ExpandDenominator@ExpandNumerator@Together[
Expand[ℰ] //. (E^(x_))(E^(y_)):>(E^(x+y)) /. (E^(x_)):>(E^(CCF[x]))];
CF[ℰ_List]:=CF/@ℰ;
CF[sd_SeriesData] := MapAt[CF,sd,3];
CF[ℰ_] := Module[
{vs=Cases[ℰ,(Subscript[(y|b|t|a|w|x|η|β|τ|α|ω|ξ), _]),∞]⋃{y,b,t,a,w,x,η,β,τ,α,ω,ξ}},
Total[CoefficientRules[Expand[ℰ], vs] /. (ps_->c_) :> CCF[c](Times@@(vs^ps))]
];
CF[ℰ_𝔼]:=CF/@ℰ; CF[(Subscript[𝔼, sp___])[ℰs___]]:=CF/@(Subscript[𝔼, sp])[ℰs];

The Kronecker δ:

Kδ/:(Subscript[Kδ, i_,j_]):=If[i===j,1,0];

Equality, multiplication, and degree-adjustment of perturbed Gaussians; 𝔼[L,Q,P] stands for (e^(L+Q))P:

𝔼/:𝔼[L1_,Q1_,P1_]≡𝔼[L2_,Q2_,P2_]:=CF[L1==L2]∧CF[Q1==Q2]∧CF[Normal[P1-P2]==0];
𝔼/:𝔼[L1_,Q1_,P1_]𝔼[L2_,Q2_,P2_]:=𝔼[L1+L2,Q1+Q2,P1*P2];
(Subscript[𝔼[L_,Q_,P_], $k_]):=𝔼[L,Q,Series[Normal@P,{ϵ,0,$k}]];

Zip and Bind

Variables and their duals:

{(SuperStar[t]),(SuperStar[b]),(SuperStar[y]),(SuperStar[a]),(SuperStar[w]),(SuperStar[x]),(SuperStar[z])}={τ,β,η,α,ω,ξ,ζ}; 
{(SuperStar[τ]),(SuperStar[β]),(SuperStar[η]),(SuperStar[α]),(SuperStar[ω]),(SuperStar[ξ]),(SuperStar[ζ])}={t,b,y,a,w,x,z}; (SuperStar[((Subscript[u_, i_]))]):=(Subscript[((SuperStar[u])), i]);

(Subscript[D, b])[f_]:=(∂_b)f-ℏ γ B(∂_B)f; (Subscript[D, (Subscript[b, i_])])[f_]:=(∂_(Subscript[b, i]))f-ℏ γ (Subscript[B, i])(∂_(Subscript[B, i]))f;
(Subscript[D, t])[f_]:=(∂_t)f-ℏ T(∂_T)f; (Subscript[D, (Subscript[t, i_])])[f_]:=(∂_(Subscript[t, i]))f-ℏ (Subscript[T, i])(∂_(Subscript[T, i]))f; 
(Subscript[D, α])[f_]:=(∂_α)f+γ 𝒜 (∂_𝒜)f; (Subscript[D, (Subscript[α, i_])])[f_]:=(∂_(Subscript[α, i]))f+γ (Subscript[𝒜, i]) (∂_(Subscript[𝒜, i]))f;
(Subscript[D, ω])[f_]:=(∂_ω)f+ Ω (∂_Ω)f; (Subscript[D, (Subscript[ω, i_])])[f_]:=(∂_(Subscript[ω, i]))f+ (Subscript[Ω, i]) (∂_(Subscript[Ω, i]))f;
(Subscript[D, v_])[f_]:=(∂_v)f; (Subscript[D, {v_,0}])[f_]:=f; (Subscript[D, {}])[f_]:=f; (Subscript[D, {v_,n_Integer}])[f_]:=(Subscript[D, v])[(Subscript[D, {v,n-1}])[f]];
(Subscript[D, {l_List,ls___}])[f_]:=(Subscript[D, {ls}])[(Subscript[D, l])[f]];

Finite Zips:

collect[sd_SeriesData, ζ_] := MapAt[collect[#,ζ]&,sd,3];
collect[ℰ_,ζ_] := Collect[ℰ,ζ];
(Subscript[Zip, {}])[P_]:=P;
(Subscript[Zip, ζs_])[Ps_List]:=(Subscript[Zip, ζs])/@Ps;
(Subscript[Zip, {ζ_,ζs___}])[P_] := 
(collect[P//(Subscript[Zip, {ζs}]),ζ] /. f_.(ζ^(d_.)):>((Subscript[D, {(SuperStar[ζ]),d}])[f]))/.(SuperStar[ζ])->0/.(((SuperStar[ζ])/.{b->B,t->T,α->𝒜,ω->Ω})->1)

QZip implements the “Q-level zips” on 𝔼(L,Q,P)=(e^(L+Q))P(ϵ). Such zips regard the L variables as scalars.

(Subscript[QZip, ζs_List])@𝔼[L_,Q_,P_] := Module[{ζ,z,zs,c,ys,ηs,qt,zrule,ζrule,out},
zs=Table[(SuperStar[ζ]),{ζ,ζs}];
c=CF[Q/.Alternatives@@(ζs⋃zs)->0];
ys=CF@Table[(∂_ζ)(Q/.Alternatives@@zs->0),{ζ,ζs}];
ηs=CF@Table[(∂_z)(Q/.Alternatives@@ζs->0),{z,zs}];
qt=CF@Inverse@Table[(Subscript[Kδ, z,(SuperStar[ζ])])-(∂_(z,ζ))Q,{ζ,ζs},{z,zs}];
zrule=Thread[zs->CF[qt.(zs+ys)]];
ζrule=Thread[ζs->ζs+ηs.qt];
CF /@ 𝔼[L,c+ηs.qt.ys,Det[qt](Subscript[Zip, ζs])[P/.(zrule⋃ζrule)]] ];

(Subscript[B, {}])[L_,R_]:=L R;
(Subscript[B, {is__}])[L_𝔼,R_𝔼] := Module[{n},
Times[
L/.Table[(Subscript[(v:b|B|t|T|a|w|x|y), i])->(Subscript[v, n@i]),{i,{is}}],
R/.Table[(Subscript[(v:β|τ|α|𝒜|ω|Ω|ξ|η), i])->(Subscript[v, n@i]),{i,{is}}]
] // (Subscript[QZip, Join@@Table[{(Subscript[ξ, n@i]),(Subscript[y, n@i])},{i,{is}}]]) ];(**)
(Subscript[B, is___])[L_,R_]:=(Subscript[B, {is}])[L,R];

𝔼 morphisms with domain and range.

(Subscript[B, is_List])[(Subscript[𝔼, d1_->r1_])[L1_,Q1_,P1_],(Subscript[𝔼, d2_->r2_])[L2_,Q2_,P2_]]:=(Subscript[𝔼, (d1⋃Complement[d2,is])->(r2⋃Complement[r1,is])])@@(Subscript[B, is])[𝔼[L1,Q1,P1],𝔼[L2,Q2,P2]];
(Subscript[𝔼, d1_->r1_])[L1_,Q1_,P1_]//(Subscript[𝔼, d2_->r2_])[L2_,Q2_,P2_] := (Subscript[B, r1⋂d2])[(Subscript[𝔼, d1->r1])[L1,Q1,P1],(Subscript[𝔼, d2->r2])[L2,Q2,P2]];
(Subscript[𝔼, d1_->r1_])[L1_,Q1_,P1_]≡(Subscript[𝔼, d2_->r2_])[L2_,Q2_,P2_] ^:= (d1==d2)∧(r1==r2)∧(𝔼[L1,Q1,P1]≡𝔼[L2,Q2,P2]);
(Subscript[𝔼, d1_->r1_])[L1_,Q1_,P1_](Subscript[𝔼, d2_->r2_])[L2_,Q2_,P2_] ^:= (Subscript[𝔼, (d1⋃d2)->(r1⋃r2)])@@(𝔼[L1,Q1,P1]𝔼[L2,Q2,P2]);
(Subscript[(Subscript[𝔼, dr_])[L_,Q_,P_], $k_]):=(Subscript[𝔼, dr])@@(Subscript[𝔼[L,Q,P], $k]);
(Subscript[𝔼, _])[ℰ___][i_]:={ℰ}[[i]];

“Define” Code

Define[lhs=rhs, ...] defines the lhs to be rhs, except that rhs is computed only once for each value of $k. Fancy Mathematica not for the faint of heart. Most readers should ignore.

SetAttributes[Define, HoldAll];
Define[def_,defs__] := (Define[def]; Define[defs];);
Define[(Subscript[op_, is__])=ℰ_] := Module[{SD,ii,jj,kk,isp,nis,nisp,sis},Block[{i,j,k},
ReleaseHold[Hold[
SD[(Subscript[op, nisp,$k_Integer]),Block[{i,j,k},(Subscript[op, isp,$k])=ℰ;(Subscript[op, nis,$k])]];
SD[(Subscript[op, isp]),(Subscript[op, {is},$k])]; SD[(Subscript[op, sis__]),(Subscript[op, {sis}])];
]/. {SD->SetDelayed,
isp->{is}/.{i->i_,j->j_,k->k_},
nis->{is}/.{i->ii,j->jj,k->kk},
nisp->{is}/.{i->ii_,j->jj_,k->kk_}
}]  ]]

RVK[pd_PD]:=Module[{n,xs,x,rots,front={0},k},
n=Length@pd;rots=Table[0,{2n}];
xs=Cases[pd,x_X:>(Piecewise[{{Xp[x[[4]],x[[1]]], PositiveQ@x}, {Xm[x[[2]],x[[1]]], True}}])];
For[k=0,k<2n,++k,If[k==0∨FreeQ[front,-k],
front=Flatten[front/.k->(xs/.{
Xp[k+1,l_]|Xm[l_,k+1]:>{l,k+1,1-l},
Xp[l_,k+1]|Xm[k+1,l_]:>(++rots[[l]];{1-l,k+1,l})
})],
Cases[front,k|-k]/.{k,-k}:>--rots[[k+1]];
]];
RVK[xs,rots] ];
RVK[K_]:=RVK[PD[K]];
rot[i_,0]:=(Subscript[𝔼, {}->{i}])[0,0,1];
rot[i_,n_]:=Module[{j},
rot[i,n]=If[n>0,rot[i,n-1](Subscript[C, j]),rot[i,n+1](Subscript[(OverBar[C]), j])]//(Subscript[m, i,j->i])];
Z[K_] := Z[RVK@K];
Z[rvk_RVK] := (*Z[rvk] =*)Module[{todo,n,rots,ζ,done,st,cx, ζ1, i,j,k,k1,k2,k3},
{todo,rots}=List@@rvk;
AppendTo[rots,0];
n=Length[todo];
ζ=(Subscript[𝔼, {}->{0}])[0,0,1];
done={0};
st=Range[0,2n+1];
While[{}=!=($M=todo),
{cx}=MaximalBy[todo, Length[done⋂{#[[1]], #[[2]], #[[1]]-1,#[[2]]-1}]&,1];
{i,j}=List@@cx;
ζ1=Switch[Head[cx],
 Xp, (Subscript[X, i,j]),
 Xm, (Subscript[(OverBar[X]), i,j])
];
ζ1=(rot[k,rots[[i]]]ζ1)//(Subscript[m, k,i->i]); rots[[i]]=0;
ζ1=(ζ1 rot[k, rots[[i+1]]])//(Subscript[m, i,k->i]); rots[[i+1]]=0;
ζ1=(rot[k,rots[[j]]]ζ1)//(Subscript[m, k,j->j]); rots[[j]]=0;
ζ1=(ζ1 rot[k, rots[[j+1]]])//(Subscript[m, j,k->j]); rots[[j+1]]=0;
ζ*=ζ1;
If[MemberQ[done, i], ζ=ζ//(Subscript[m, i,i+1->i]); st=st/.st[[i+2]]->st[[i+1]]];
If[MemberQ[done, i-1],  ζ=ζ//(Subscript[m, st[[i]],i->st[[i]]]); st=st/.st[[i+1]]->st[[i]]]; 
If[MemberQ[done, j],  ζ=ζ//(Subscript[m, j,j+1->j]); st=st/.st[[j+2]]->st[[j+1]]]; 
If[MemberQ[done, j-1],  ζ=ζ//(Subscript[m, st[[j]],j->st[[j]]]); st=st/.st[[j+1]]->st[[j]]];
done=done⋃{i-1,i,j-1,j};
todo=DeleteCases[todo, cx]
];
CF/@ (ζ (*/. {(Subscript[x, 0])->x,(Subscript[y, 0])->y,(Subscript[a, 0])->a}*))
]

Rho1[K_]:=Module[{Num,ZZ},ZZ=Factor@Coefficient[Z[K][[3]],ϵ];If[ZZ===0,ZZ,Num=Numerator[ZZ];Num=(Num/(-(((-1+T))^2)))//Expand;
Num*(T^(-(Exponent[Num,T]-Exponent[Num,(T^(-1))])/2))//Expand]/.(T^(u_/;u<0))->0]

Rho1AndAlex[K_]:=Module[{Num,Den,ZZ,ZZZ},ZZZ=Z[K][[3]];ZZ=Factor@Coefficient[ZZZ,ϵ];Den=Denominator[ZZZ/.ϵ->0];{If[ZZ===0,ZZ,Num=Numerator[ZZ];Num=(Num/(-(((-1+T))^2)))//Expand;
Num*(T^(-(Exponent[Num,T]-Exponent[Num,(T^(-1))])/2))//Expand],Den*(T^(-(Exponent[Den,T]-Exponent[Den,(T^(-1))])/2))//Expand}/.(T^(u_/;u<0))->0]

The building blocks

Define[
(Subscript[X, i,j])=(Subscript[𝔼, {}->{i,j}])[0,(Subscript[x, j]) ((Subscript[y, i])-(Subscript[y, j])),(1+(((2-4 T+2 (T^2)+2 (Subscript[x, i]) (Subscript[y, i])-2 T (Subscript[x, i]) (Subscript[y, i])-(Subscript[x, j]^2) (Subscript[y, i]^2)+2 T (Subscript[x, j]^2) (Subscript[y, i]^2)-(T^2) (Subscript[x, j]^2) (Subscript[y, i]^2)-2 T (Subscript[x, j]) (Subscript[y, j])+2 (T^2) (Subscript[x, j]) (Subscript[y, j])+4 T (Subscript[x, i]) (Subscript[x, j]) (Subscript[y, i]) (Subscript[y, j])+(Subscript[x, j]^2) (Subscript[y, j]^2)-2 T (Subscript[x, j]^2) (Subscript[y, j]^2)-3 (T^2) (Subscript[x, j]^2) (Subscript[y, j]^2)) ϵ)/(4 (((-1+T))^2)))+((O[ϵ])^2))],
(Subscript[(OverBar[X]), i,j])=(Subscript[𝔼, {}->{i,j}])[0,(((Subscript[x, j]) (-(Subscript[y, i])+(Subscript[y, j])))/T),(1+(((-(((-1+T))^2) (2 (T^2)+(Subscript[x, j]) (Subscript[y, i]) (-4 T+3 (Subscript[x, j]) (Subscript[y, i])))-2 (-1+T) (Subscript[x, j]) (T (-1+2 T)+2 (Subscript[x, j]) (Subscript[y, i])) (Subscript[y, j])+(1+T) (-1+3 T) (Subscript[x, j]^2) (Subscript[y, j]^2)+2 T (Subscript[x, i]) (Subscript[y, i]) ((-1+T) T-2 (Subscript[x, j]) ((-1+T) (Subscript[y, i])+(Subscript[y, j])))) ϵ)/(4 (((-1+T))^2) (T^2)))+((O[ϵ])^2))],
(Subscript[C, i])=(Subscript[𝔼, {}->{i}])[0,0,(1+ϵ((1/2)-(( (Subscript[x, i]) (Subscript[y, i]))/(-1+T))))+((O[ϵ])^2)],
(Subscript[(OverBar[C]), i])=(Subscript[𝔼, {}->{i}])[0,0,(1-ϵ((1/2)-(( (Subscript[x, i]) (Subscript[y, i]))/(-1+T))))+((O[ϵ])^2)],
(Subscript[m, i,j->k])=(Subscript[𝔼, {i,j}->{k}])[0,(Subscript[y, k]) ((Subscript[η, i])+(Subscript[η, j]))-(-1+T) (Subscript[η, j]) (Subscript[ξ, i])+(Subscript[x, k]) ((Subscript[ξ, i])+(Subscript[ξ, j])),1+(((2 (((-1+T))^2) (-1+3 T) (Subscript[x, k]) (Subscript[η, j]) (Subscript[ξ, i]) (2 (Subscript[y, k])-(-1+T) (Subscript[ξ, i]))+(((-1+T))^3) (Subscript[η, j]) (Subscript[ξ, i]) (-4 T+2 (1-3 T) (Subscript[y, k]) (Subscript[η, j])+(1-4 T+3 (T^2)) (Subscript[η, j]) (Subscript[ξ, i]))) ϵ)/(4 (((-1+T))^3)))+((O[ϵ])^2)]

]

(2-4 T+2 (T^2)+2 (Subscript[x, i]) (Subscript[y, i])-2 T (Subscript[x, i]) (Subscript[y, i])-(Subscript[x, j]^2) (Subscript[y, i]^2)+2 T (Subscript[x, j]^2) (Subscript[y, i]^2)-(T^2) (Subscript[x, j]^2) (Subscript[y, i]^2)-2 T (Subscript[x, j]) (Subscript[y, j])+2 (T^2) (Subscript[x, j]) (Subscript[y, j])+4 T (Subscript[x, i]) (Subscript[x, j]) (Subscript[y, i]) (Subscript[y, j])+(Subscript[x, j]^2) (Subscript[y, j]^2)-2 T (Subscript[x, j]^2) (Subscript[y, j]^2)-3 (T^2) (Subscript[x, j]^2) (Subscript[y, j]^2))//Simplify

The knot invariant Rho1

Both Rho1 and Alexander are palindromic f((T^(-1)))=f(T) so we only list the monomials with non-negative exponents.

Computing Rho1 of the trefoil knot or together with Alexander:

Rho1@Knot[3,1]
Rho1AndAlex@Knot[3,1]
Rho1@KnotsUpTo12[[1]]

A small table of the first 30 knots

Flatten@{#,Rho1AndAlex@#}&/@KnotsUpTo12[[;;30]]//MatrixForm

Up to 10 crossings the pair (Alexander,Rho1) distinguishes all prime knots. However as expected
the  Kinoshita-Terasaka knot and its mutant the Conway knot yield the same value.

Rho1@Knot[11,NonAlternating,42]
Rho1@Knot[11,NonAlternating,34]

More details on the knot invariant Z (computed up to first order in ϵ)

Checking Reidemeister 1: (it is satisfied up to an overall factor of T or (T^(-1)))

(Subscript[X, 1,2])(Subscript[(OverBar[C]), 3])//(Subscript[m, 1,3->1])//(Subscript[m, 1,2->1])
(Subscript[(OverBar[X]), 1,2])(Subscript[C, 3])//(Subscript[m, 1,3->1])//(Subscript[m, 1,2->1])
(Subscript[(OverBar[X]), 1,2])(Subscript[(OverBar[C]), 3])//(Subscript[m, 2,3->2])//(Subscript[m, 2,1->1])
(Subscript[X, 1,2])(Subscript[C, 3])//(Subscript[m, 2,3->2])//(Subscript[m, 2,1->1])

Checking Reidemeister 2:

(Subscript[X, 1,2])(Subscript[(OverBar[X]), 3,4])//(Subscript[m, 1,3->1])//(Subscript[m, 2,4->2])

Checking Reidemeister 3:

((Subscript[X, 1,2])(Subscript[X, 4,3])(Subscript[X, 5,6])//(Subscript[m, 1,4->1])//(Subscript[m, 2,5->2])//(Subscript[m, 3,6->3]))≡
((Subscript[X, 2,3])(Subscript[X, 1,6])(Subscript[X, 4,5])//(Subscript[m, 1,4->1])//(Subscript[m, 2,5->2])//(Subscript[m, 3,6->3]))

Trefoil knot

((Subscript[X, 5,1])(Subscript[X, 2,6])(Subscript[X, 7,3])(Subscript[C, 4])//(Subscript[m, 1,2->1])//(Subscript[m, 1,3->1])//(Subscript[m, 1,4->1])//(Subscript[m, 1,5->1])//(Subscript[m, 1,6->1])//(Subscript[m, 1,7->1]))

The same can also be computed using the knot table name of the trefoil:

Z@Knot[3,1]
Collect[#,ϵ,Factor]&/@Z@Knot[3,1]

The interesting bit Rho1 is the numerator of the coefficient of ϵ. The general form of this coefficient is ((-(((1-T))^2)Rho1)/(Alexander^3)).