K13n3907
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Polynomial invariants
| Jones polynomial | Data:K13n3907/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-16 t^2+25 t-27+25 t^{-1} -16 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3907/Conway Polynomial |
| Determinant | 123 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+3 z^6 a^{-2} -6 z^6+4 a^2 z^4+13 z^4 a^{-2} -2 z^4 a^{-4} -15 z^4+5 a^2 z^2+17 z^2 a^{-2} -5 z^2 a^{-4} -18 z^2+3 a^2+7 a^{-2} -2 a^{-4} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+5 z^{10} a^{-2} +9 z^{10}+3 a^3 z^9-3 a z^9+6 z^9 a^{-3} +a^4 z^8-19 a^2 z^8-13 z^8 a^{-2} +6 z^8 a^{-4} -39 z^8-15 a^3 z^7-12 a z^7-9 z^7 a^{-1} -8 z^7 a^{-3} +4 z^7 a^{-5} -5 a^4 z^6+30 a^2 z^6+26 z^6 a^{-2} -6 z^6 a^{-4} +z^6 a^{-6} +68 z^6+23 a^3 z^5+26 a z^5+3 z^5 a^{-1} -z^5 a^{-3} -z^5 a^{-5} +7 a^4 z^4-21 a^2 z^4-50 z^4 a^{-2} -z^4 a^{-4} +6 z^4 a^{-6} -71 z^4-11 a^3 z^3-16 a z^3-3 z^3 a^{-1} +z^3 a^{-3} +2 z^3 a^{-5} +3 z^3 a^{-7} -2 a^4 z^2+10 a^2 z^2+34 z^2 a^{-2} +5 z^2 a^{-4} -4 z^2 a^{-6} +37 z^2+2 a^3 z+3 a z+2 z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} -3 a^2-7 a^{-2} -2 a^{-4} -7 }[/math] |
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