Data:8 3/QuantumInvariant/G2/1,0: Difference between revisions

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<math>q^{66}+q^{62}-q^{60}+q^{58}+q^{56}-q^{54}+2 q^{52}-q^{50}+2 q^{48}-q^{46}+q^{42}-2 q^{40}+4 q^{38}-3 q^{36}+q^{34}+q^{32}-2 q^{30}+3 q^{28}-2 q^{26}+q^{24}+2 q^{22}-2 q^{20}+q^{18}-2 q^{14}+4 q^{12}-4 q^{10}+q^8-3 q^4+3 q^2-5+3 q^{-2} -3 q^{-4} + q^{-8} -4 q^{-10} +4 q^{-12} -2 q^{-14} + q^{-18} -2 q^{-20} +2 q^{-22} + q^{-24} -2 q^{-26} +3 q^{-28} -2 q^{-30} + q^{-32} + q^{-34} -3 q^{-36} +4 q^{-38} -2 q^{-40} + q^{-42} - q^{-46} +2 q^{-48} - q^{-50} +2 q^{-52} - q^{-54} + q^{-56} + q^{-58} - q^{-60} + q^{-62} + q^{-66} </math>
<math>\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),1\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),2\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),3\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),4\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),5\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),6\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),7\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),8\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),9\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),10\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),11\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),12\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),13\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),14\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),15\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),16\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),17\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),18\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),19\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),20\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),21\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),22\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),23\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),24\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),25\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),26\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),27\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),28\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),29\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),30\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),31\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),32\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),33\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),34\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),35\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),36\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),37\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),38\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),39\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),40\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),41\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),42\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),43\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),44\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),45\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),46\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),47\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),48\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),49\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),50\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),51\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),52\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),53\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),54\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),55\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),56\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),57\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),58\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),59\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),60\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),61\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),62\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),63\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),64\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),65\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),66\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),67\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),68\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),69\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),70\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),71\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),72\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),73\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),74\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),75\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),76\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),77\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),78\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),79\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),80\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),81\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),82\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),83\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),84\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),85\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),86\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),87\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),88\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),89\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),90\right)+\textrm{QuantumKnotInvariantSplitPiece}\left(\textrm{Knot}(8,3),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),91\right)</math>

Latest revision as of 05:50, 6 September 2005

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