K13n388
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Polynomial invariants
| Jones polynomial | Data:K13n388/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-t^2-6 t+11-6 t^{-1} - t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n388/Conway Polynomial |
| Determinant | 13 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 z^6 a^{-2} -7 z^6+a^4 z^4+a^2 z^4+11 z^4 a^{-2} -z^4 a^{-4} -15 z^4+2 a^4 z^2+16 z^2 a^{-2} -4 z^2 a^{-4} -13 z^2+a^4-a^2+7 a^{-2} -3 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +4 z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10}+a^3 z^9+a z^9-5 z^9 a^{-1} -4 z^9 a^{-3} +z^9 a^{-5} +2 a^4 z^8+2 a^2 z^8-30 z^8 a^{-2} -14 z^8 a^{-4} -16 z^8+2 a^5 z^7-2 a^3 z^7-7 a z^7-3 z^7 a^{-1} -7 z^7 a^{-3} -7 z^7 a^{-5} +a^6 z^6-7 a^4 z^6-8 a^2 z^6+69 z^6 a^{-2} +31 z^6 a^{-4} +38 z^6-8 a^5 z^5-4 a^3 z^5+13 a z^5+30 z^5 a^{-1} +37 z^5 a^{-3} +16 z^5 a^{-5} -4 a^6 z^4+5 a^4 z^4+8 a^2 z^4-64 z^4 a^{-2} -28 z^4 a^{-4} -37 z^4+8 a^5 z^3+8 a^3 z^3-8 a z^3-30 z^3 a^{-1} -37 z^3 a^{-3} -15 z^3 a^{-5} +3 a^6 z^2-2 a^4 z^2-4 a^2 z^2+29 z^2 a^{-2} +12 z^2 a^{-4} +18 z^2-3 a^5 z-5 a^3 z+a z+9 z a^{-1} +11 z a^{-3} +5 z a^{-5} +a^4+a^2-7 a^{-2} -3 a^{-4} -3 }[/math] |
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