K13n3658
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Polynomial invariants
| Jones polynomial | Data:K13n3658/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-10 t+13-10 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3658/Conway Polynomial |
| Determinant | 45 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+7 z^6 a^{-2} -z^6 a^{-4} -8 z^6+5 a^2 z^4+19 z^4 a^{-2} -4 z^4 a^{-4} -21 z^4+7 a^2 z^2+23 z^2 a^{-2} -6 z^2 a^{-4} -23 z^2+3 a^2+11 a^{-2} -4 a^{-4} -9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +a^2 z^{10}+5 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+2 a^3 z^9+2 a z^9-3 z^9 a^{-1} +2 z^9 a^{-3} +5 z^9 a^{-5} +a^4 z^8-6 a^2 z^8-30 z^8 a^{-2} -18 z^8 a^{-4} +3 z^8 a^{-6} -16 z^8-13 a^3 z^7-18 a z^7-12 z^7 a^{-1} -31 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6+6 a^2 z^6+60 z^6 a^{-2} +23 z^6 a^{-4} -12 z^6 a^{-6} +37 z^6+24 a^3 z^5+40 a z^5+44 z^5 a^{-1} +62 z^5 a^{-3} +30 z^5 a^{-5} -4 z^5 a^{-7} +10 a^4 z^4+2 a^2 z^4-60 z^4 a^{-2} -18 z^4 a^{-4} +10 z^4 a^{-6} -40 z^4-16 a^3 z^3-33 a z^3-44 z^3 a^{-1} -49 z^3 a^{-3} -19 z^3 a^{-5} +3 z^3 a^{-7} -5 a^4 z^2+a^2 z^2+35 z^2 a^{-2} +11 z^2 a^{-4} -2 z^2 a^{-6} +28 z^2+4 a^3 z+11 a z+15 z a^{-1} +14 z a^{-3} +6 z a^{-5} -3 a^2-11 a^{-2} -4 a^{-4} -9 }[/math] |
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