K13n160
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Polynomial invariants
| Jones polynomial | Data:K13n160/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+42 t-57+42 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n160/Conway Polynomial |
| Determinant | 175 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +6 z^4 a^{-4} -5 z^4 a^{-6} -7 z^2 a^{-2} +11 z^2 a^{-4} -10 z^2 a^{-6} +4 z^2 a^{-8} +2 z^2-4 a^{-2} +7 a^{-4} -7 a^{-6} +4 a^{-8} - a^{-10} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +5 z^{10} a^{-4} +9 z^{10} a^{-6} +4 z^{10} a^{-8} +8 z^9 a^{-3} +19 z^9 a^{-5} +17 z^9 a^{-7} +6 z^9 a^{-9} +5 z^8 a^{-2} +2 z^8 a^{-4} -3 z^8 a^{-6} +4 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -20 z^7 a^{-3} -60 z^7 a^{-5} -55 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} -9 z^6 a^{-2} -29 z^6 a^{-4} -49 z^6 a^{-6} -42 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-1} +35 z^5 a^{-3} +69 z^5 a^{-5} +49 z^5 a^{-7} +7 z^5 a^{-9} -3 z^5 a^{-11} +20 z^4 a^{-2} +51 z^4 a^{-4} +71 z^4 a^{-6} +51 z^4 a^{-8} +14 z^4 a^{-10} +3 z^4-7 z^3 a^{-1} -24 z^3 a^{-3} -36 z^3 a^{-5} -20 z^3 a^{-7} +2 z^3 a^{-9} +3 z^3 a^{-11} -17 z^2 a^{-2} -32 z^2 a^{-4} -38 z^2 a^{-6} -24 z^2 a^{-8} -6 z^2 a^{-10} -5 z^2+2 z a^{-1} +6 z a^{-3} +7 z a^{-5} +3 z a^{-7} -z a^{-9} -z a^{-11} +4 a^{-2} +7 a^{-4} +7 a^{-6} +4 a^{-8} + a^{-10} +2 }[/math] |
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