K13n3436
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Polynomial invariants
| Jones polynomial | Data:K13n3436/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-28 t+37-28 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3436/Conway Polynomial |
| Determinant | 121 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +2 z^4-a^2 z^2+z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +3 z^2-a^2+ a^{-2} - a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +6 z^{10} a^{-2} +11 z^{10} a^{-4} +5 z^{10} a^{-6} +7 z^9 a^{-1} +7 z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -17 z^8 a^{-2} -41 z^8 a^{-4} -19 z^8 a^{-6} +z^8 a^{-8} +4 z^8+a z^7-25 z^7 a^{-1} -53 z^7 a^{-3} -45 z^7 a^{-5} -18 z^7 a^{-7} +7 z^6 a^{-2} +38 z^6 a^{-4} +16 z^6 a^{-6} -4 z^6 a^{-8} -11 z^6+a z^5+34 z^5 a^{-1} +79 z^5 a^{-3} +71 z^5 a^{-5} +25 z^5 a^{-7} +3 a^2 z^4+6 z^4 a^{-2} -9 z^4 a^{-4} +2 z^4 a^{-6} +5 z^4 a^{-8} +15 z^4+a^3 z^3-22 z^3 a^{-1} -50 z^3 a^{-3} -41 z^3 a^{-5} -12 z^3 a^{-7} -3 a^2 z^2-3 z^2 a^{-2} -3 z^2 a^{-6} -2 z^2 a^{-8} -7 z^2-a^3 z+6 z a^{-1} +12 z a^{-3} +9 z a^{-5} +2 z a^{-7} +a^2- a^{-2} - a^{-4} +2 }[/math] |
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