K13n316
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Polynomial invariants
| Jones polynomial | Data:K13n316/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+34 t-45+34 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n316/Conway Polynomial |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2+z^2 a^{-2} +z^2 a^{-6} -3 z^2+a^2+ a^{-2} - a^{-4} +2 a^{-6} - a^{-8} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +4 z^9 a^{-1} +7 z^9 a^{-3} +6 z^9 a^{-5} +3 z^9 a^{-7} -9 z^8 a^{-4} -4 z^8 a^{-6} +z^8 a^{-8} +4 z^8+3 a z^7-3 z^7 a^{-1} -19 z^7 a^{-3} -17 z^7 a^{-5} -4 z^7 a^{-7} +a^2 z^6-6 z^6 a^{-2} +4 z^6 a^{-4} +7 z^6 a^{-6} +4 z^6 a^{-8} -6 z^6-8 a z^5-6 z^5 a^{-1} +22 z^5 a^{-3} +22 z^5 a^{-5} +5 z^5 a^{-7} +3 z^5 a^{-9} -3 a^2 z^4+3 z^4 a^{-2} +4 z^4 a^{-4} -11 z^4 a^{-6} -12 z^4 a^{-8} -3 z^4+6 a z^3+3 z^3 a^{-1} -11 z^3 a^{-3} -11 z^3 a^{-5} -9 z^3 a^{-7} -6 z^3 a^{-9} +3 a^2 z^2+8 z^2 a^{-6} +6 z^2 a^{-8} +5 z^2-a z+2 z a^{-3} +2 z a^{-5} +3 z a^{-7} +2 z a^{-9} -a^2- a^{-2} - a^{-4} -2 a^{-6} - a^{-8} -1 }[/math] |
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