K13n4021
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Polynomial invariants
| Jones polynomial | Data:K13n4021/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-22 t+31-22 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n4021/Conway Polynomial |
| Determinant | 93 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +3 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +z^4-a^2 z^2+5 z^2 a^{-2} -4 z^2 a^{-4} +z^2 a^{-6} +2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +12 z^{10} a^{-4} +6 z^{10} a^{-6} +4 z^9 a^{-1} -7 z^9 a^{-3} -7 z^9 a^{-5} +4 z^9 a^{-7} -29 z^8 a^{-2} -61 z^8 a^{-4} -30 z^8 a^{-6} +z^8 a^{-8} +z^8-15 z^7 a^{-1} -14 z^7 a^{-3} -18 z^7 a^{-5} -19 z^7 a^{-7} +49 z^6 a^{-2} +94 z^6 a^{-4} +43 z^6 a^{-6} -4 z^6 a^{-8} +2 z^6+5 a z^5+20 z^5 a^{-1} +35 z^5 a^{-3} +44 z^5 a^{-5} +24 z^5 a^{-7} +3 a^2 z^4-42 z^4 a^{-2} -57 z^4 a^{-4} -22 z^4 a^{-6} +3 z^4 a^{-8} -7 z^4+a^3 z^3-6 a z^3-14 z^3 a^{-1} -20 z^3 a^{-3} -22 z^3 a^{-5} -9 z^3 a^{-7} -2 a^2 z^2+16 z^2 a^{-2} +14 z^2 a^{-4} +3 z^2 a^{-6} +3 z^2+a z+3 z a^{-1} +4 z a^{-3} +2 z a^{-5} -2 a^{-2} - a^{-4} }[/math] |
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