K13n3758
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Polynomial invariants
| Jones polynomial | Data:K13n3758/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+24 t-31+24 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3758/Conway Polynomial |
| Determinant | 103 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2+2 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} -4 z^2+a^2+ a^{-2} +3 a^{-4} -2 a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +3 z^{10} a^{-4} +z^{10}-4 z^9 a^{-1} +z^9 a^{-3} +5 z^9 a^{-5} -15 z^8 a^{-2} -5 z^8 a^{-4} +6 z^8 a^{-6} -4 z^8+3 a z^7+13 z^7 a^{-1} -5 z^7 a^{-3} -10 z^7 a^{-5} +5 z^7 a^{-7} +a^2 z^6+29 z^6 a^{-2} +3 z^6 a^{-4} -12 z^6 a^{-6} +3 z^6 a^{-8} +12 z^6-10 a z^5-22 z^5 a^{-1} +6 z^5 a^{-3} +9 z^5 a^{-5} -8 z^5 a^{-7} +z^5 a^{-9} -4 a^2 z^4-27 z^4 a^{-2} +7 z^4 a^{-4} +11 z^4 a^{-6} -5 z^4 a^{-8} -22 z^4+8 a z^3+14 z^3 a^{-1} +3 z^3 a^{-3} +z^3 a^{-5} +2 z^3 a^{-7} -2 z^3 a^{-9} +4 a^2 z^2+10 z^2 a^{-2} -7 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-8} +13 z^2-2 a z-4 z a^{-1} -3 z a^{-3} -3 z a^{-5} -z a^{-7} +z a^{-9} -a^2- a^{-2} +3 a^{-4} +2 a^{-6} -2 }[/math] |
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