K13n4013
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Polynomial invariants
| Jones polynomial | Data:K13n4013/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-4 t^4+6 t^3-2 t^2-5 t+9-5 t^{-1} -2 t^{-2} +6 t^{-3} -4 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n4013/Conway Polynomial |
| Determinant | 7 |
| 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} +22 z^6 a^{-6} -7 z^6 a^{-8} -9 z^4 a^{-4} +26 z^4 a^{-6} -14 z^4 a^{-8} +z^4 a^{-10} -z^2 a^{-4} +11 z^2 a^{-6} -10 z^2 a^{-8} +2 z^2 a^{-10} +3 a^{-4} - a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^{10} a^{-8} +z^9 a^{-3} -12 z^9 a^{-5} -12 z^9 a^{-7} +z^9 a^{-9} -21 z^8 a^{-4} -43 z^8 a^{-6} -22 z^8 a^{-8} -6 z^7 a^{-3} +17 z^7 a^{-5} +16 z^7 a^{-7} -7 z^7 a^{-9} +46 z^6 a^{-4} +94 z^6 a^{-6} +49 z^6 a^{-8} +z^6 a^{-10} +10 z^5 a^{-3} -z^5 a^{-5} -z^5 a^{-7} +12 z^5 a^{-9} +2 z^5 a^{-11} -37 z^4 a^{-4} -76 z^4 a^{-6} -45 z^4 a^{-8} -5 z^4 a^{-10} +z^4 a^{-12} -5 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -8 z^3 a^{-9} -6 z^3 a^{-11} +6 z^2 a^{-4} +20 z^2 a^{-6} +19 z^2 a^{-8} +3 z^2 a^{-10} -2 z^2 a^{-12} -4 z a^{-5} -4 z a^{-7} +2 z a^{-9} +2 z a^{-11} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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