K13n2829
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Polynomial invariants
| Jones polynomial | Data:K13n2829/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+32 t-41+32 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2829/Conway Polynomial |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+6 z^4 a^{-2} -2 z^4 a^{-4} +z^4-a^2 z^2+7 z^2 a^{-2} -2 z^2 a^{-4} -z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +4 z^{10} a^{-4} +6 z^{10}+7 a z^9+6 z^9 a^{-1} +z^9 a^{-3} +2 z^9 a^{-5} +4 a^2 z^8-32 z^8 a^{-2} -13 z^8 a^{-4} -15 z^8+a^3 z^7-23 a z^7-34 z^7 a^{-1} -13 z^7 a^{-3} -3 z^7 a^{-5} -13 a^2 z^6+43 z^6 a^{-2} +27 z^6 a^{-4} +3 z^6 a^{-6} +6 z^6-3 a^3 z^5+21 a z^5+39 z^5 a^{-1} +23 z^5 a^{-3} +8 z^5 a^{-5} +11 a^2 z^4-38 z^4 a^{-2} -22 z^4 a^{-4} +2 z^4 a^{-6} -3 z^4+2 a^3 z^3-8 a z^3-23 z^3 a^{-1} -17 z^3 a^{-3} +4 z^3 a^{-7} -2 a^2 z^2+16 z^2 a^{-2} +8 z^2 a^{-4} -2 z^2 a^{-6} +4 z^2+2 a z+5 z a^{-1} +4 z a^{-3} -2 z a^{-5} -3 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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