K13n1501
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Polynomial invariants
| Jones polynomial | Data:K13n1501/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2-1+2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1501/Conway Polynomial |
| Determinant | 5 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} +z^6 a^{-6} -4 z^4 a^{-2} -5 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} +z^4-4 z^2 a^{-2} -6 z^2 a^{-4} +8 z^2 a^{-6} -2 z^2 a^{-8} +3 z^2- a^{-2} -2 a^{-4} +3 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} +z^{10} a^{-8} +2 z^9 a^{-1} -2 z^9 a^{-3} -3 z^9 a^{-5} +4 z^9 a^{-7} +3 z^9 a^{-9} -9 z^8 a^{-2} -25 z^8 a^{-4} -21 z^8 a^{-6} -3 z^8 a^{-8} +3 z^8 a^{-10} +z^8-11 z^7 a^{-1} -13 z^7 a^{-3} -14 z^7 a^{-5} -28 z^7 a^{-7} -15 z^7 a^{-9} +z^7 a^{-11} +5 z^6 a^{-2} +43 z^6 a^{-4} +39 z^6 a^{-6} -7 z^6 a^{-8} -14 z^6 a^{-10} -6 z^6+17 z^5 a^{-1} +30 z^5 a^{-3} +42 z^5 a^{-5} +51 z^5 a^{-7} +18 z^5 a^{-9} -4 z^5 a^{-11} +9 z^4 a^{-2} -32 z^4 a^{-4} -32 z^4 a^{-6} +13 z^4 a^{-8} +15 z^4 a^{-10} +11 z^4-10 z^3 a^{-1} -21 z^3 a^{-3} -36 z^3 a^{-5} -37 z^3 a^{-7} -9 z^3 a^{-9} +3 z^3 a^{-11} -8 z^2 a^{-2} +13 z^2 a^{-4} +14 z^2 a^{-6} -3 z^2 a^{-8} -4 z^2 a^{-10} -8 z^2+2 z a^{-1} +6 z a^{-3} +10 z a^{-5} +9 z a^{-7} +3 z a^{-9} + a^{-2} -2 a^{-4} -3 a^{-6} - a^{-8} +2 }[/math] |
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