K13n4072
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Polynomial invariants
| Jones polynomial | Data:K13n4072/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+14 t^2-14 t+13-14 t^{-1} +14 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4072/Conway Polynomial |
| Determinant | 89 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +5 z^6 a^{-4} +5 z^6 a^{-6} -z^6 a^{-8} -4 z^4 a^{-2} +8 z^4 a^{-4} +7 z^4 a^{-6} -5 z^4 a^{-8} -3 z^2 a^{-2} +7 z^2 a^{-4} +3 z^2 a^{-6} -6 z^2 a^{-8} +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} +4 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^{10} a^{-8} +4 z^9 a^{-3} -6 z^9 a^{-5} -9 z^9 a^{-7} +z^9 a^{-9} +3 z^8 a^{-2} -17 z^8 a^{-4} -36 z^8 a^{-6} -16 z^8 a^{-8} +z^7 a^{-1} -16 z^7 a^{-3} +3 z^7 a^{-5} +20 z^7 a^{-7} -13 z^6 a^{-2} +22 z^6 a^{-4} +72 z^6 a^{-6} +42 z^6 a^{-8} +5 z^6 a^{-10} -4 z^5 a^{-1} +15 z^5 a^{-3} -22 z^5 a^{-7} +3 z^5 a^{-11} +14 z^4 a^{-2} -12 z^4 a^{-4} -63 z^4 a^{-6} -46 z^4 a^{-8} -8 z^4 a^{-10} +z^4 a^{-12} +3 z^3 a^{-1} -3 z^3 a^{-3} +4 z^3 a^{-5} +16 z^3 a^{-7} +2 z^3 a^{-9} -4 z^3 a^{-11} -4 z^2 a^{-2} -z^2 a^{-4} +18 z^2 a^{-6} +21 z^2 a^{-8} +5 z^2 a^{-10} -z^2 a^{-12} -5 z a^{-5} -7 z a^{-7} -z a^{-9} +z a^{-11} +3 a^{-4} + a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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