K13n4221
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Polynomial invariants
| Jones polynomial | Data:K13n4221/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-16 t^2+45 t-61+45 t^{-1} -16 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4221/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} -z^4 a^{-4} -3 z^4 a^{-6} -z^4+3 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2 a^{-6} +2 z^2 a^{-8} +3 a^{-2} -2 a^{-4} - a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +8 z^{10} a^{-4} +11 z^{10} a^{-6} +3 z^{10} a^{-8} +14 z^9 a^{-3} +15 z^9 a^{-5} +2 z^9 a^{-7} +z^9 a^{-9} +15 z^8 a^{-2} -3 z^8 a^{-4} -24 z^8 a^{-6} -6 z^8 a^{-8} +11 z^7 a^{-1} -21 z^7 a^{-3} -46 z^7 a^{-5} -11 z^7 a^{-7} +3 z^7 a^{-9} -21 z^6 a^{-2} -15 z^6 a^{-4} +15 z^6 a^{-6} +7 z^6 a^{-8} +3 z^6 a^{-10} +5 z^6+a z^5-13 z^5 a^{-1} +9 z^5 a^{-3} +45 z^5 a^{-5} +8 z^5 a^{-7} -14 z^5 a^{-9} +3 z^4 a^{-2} +11 z^4 a^{-4} +3 z^4 a^{-6} -10 z^4 a^{-8} -9 z^4 a^{-10} -4 z^4+z^3 a^{-1} -3 z^3 a^{-3} -15 z^3 a^{-5} +11 z^3 a^{-9} +5 z^2 a^{-2} +4 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} +6 z^2 a^{-10} +2 z a^{-3} +2 z a^{-5} -3 z a^{-7} -3 z a^{-9} -3 a^{-2} -2 a^{-4} + a^{-6} + a^{-8} }[/math] |
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