Data:8 1/QuantumInvariant/G2/1,0: Difference between revisions
From Knot Atlas
Jump to navigationJump to search
No edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
<math>q^{94}+q^{90}-q^{88}+2 q^{80}-2 q^{78}+q^{76}+q^{74}+q^{70}-q^{68}+q^{64}+q^{54}-q^{52}-q^{46}-q^{42}+q^{40}-q^{38}+q^{36}-q^{34}-2 q^{32}+q^{30}-q^{28}-q^{22}+q^{18}-q^{12}+q^8+ q^{-2} - q^{-6} + q^{-10} + q^{-14} + q^{-20} + q^{-24} + q^{-28} + q^{-34} + q^{-38} </math> |
|||
<math>\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),1\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),2\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),3\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),4\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),5\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),6\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),7\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),8\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),9\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),10\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),11\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),12\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),13\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),14\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),15\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),16\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),17\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),18\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),19\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),20\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),21\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),22\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),23\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),24\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),25\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),26\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),27\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),28\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),29\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),30\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),31\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),32\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),33\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),34\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),35\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),36\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),37\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),38\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),39\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),40\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),41\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),42\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),43\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),44\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),45\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),46\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),47\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),48\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),49\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),50\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),51\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),52\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),53\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),54\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),55\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),56\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),57\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),58\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),59\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),60\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),61\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),62\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),63\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),64\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),65\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),66\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),67\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),68\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),69\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),70\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),71\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),72\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),73\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),74\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),75\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),76\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),77\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),78\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),79\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),80\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),81\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),82\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),83\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),84\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),85\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),86\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),87\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),88\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),89\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),90\right)+\textrm{QuantumKnotInvariantSplit}\left(\textrm{Knot}(8,1),G_2,\textrm{Irrep}\left(G_2\right)(\{1,0\}),91\right)</math> |
|||
Latest revision as of 19:51, 5 September 2005
