K13n4053
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Polynomial invariants
| Jones polynomial | Data:K13n4053/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+7 t^3-6 t^2+3 t-1+3 t^{-1} -6 t^{-2} +7 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n4053/Conway Polynomial |
| Determinant | 43 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-6} -z^8 a^{-4} +8 z^8 a^{-6} -z^8 a^{-8} -6 z^6 a^{-4} +23 z^6 a^{-6} -7 z^6 a^{-8} -10 z^4 a^{-4} +30 z^4 a^{-6} -15 z^4 a^{-8} +z^4 a^{-10} -3 z^2 a^{-4} +16 z^2 a^{-6} -12 z^2 a^{-8} +2 z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +7 z^{10} a^{-6} +4 z^{10} a^{-8} +z^9 a^{-3} -10 z^9 a^{-5} -8 z^9 a^{-7} +3 z^9 a^{-9} -20 z^8 a^{-4} -44 z^8 a^{-6} -23 z^8 a^{-8} +z^8 a^{-10} -6 z^7 a^{-3} +10 z^7 a^{-5} -16 z^7 a^{-9} +44 z^6 a^{-4} +88 z^6 a^{-6} +39 z^6 a^{-8} -5 z^6 a^{-10} +11 z^5 a^{-3} +6 z^5 a^{-5} +15 z^5 a^{-7} +20 z^5 a^{-9} -37 z^4 a^{-4} -71 z^4 a^{-6} -32 z^4 a^{-8} +2 z^4 a^{-10} -6 z^3 a^{-3} -5 z^3 a^{-5} -5 z^3 a^{-7} -9 z^3 a^{-9} -3 z^3 a^{-11} +8 z^2 a^{-4} +23 z^2 a^{-6} +17 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} -3 z a^{-5} -2 z a^{-7} +2 z a^{-9} +z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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