K13n3776
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Polynomial invariants
| Jones polynomial | Data:K13n3776/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+4 t^4-7 t^3+8 t^2-5 t+3-5 t^{-1} +8 t^{-2} -7 t^{-3} +4 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3776/Conway Polynomial |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -8 z^8 a^{-4} +z^8 a^{-6} +6 z^6 a^{-2} -24 z^6 a^{-4} +8 z^6 a^{-6} +12 z^4 a^{-2} -35 z^4 a^{-4} +21 z^4 a^{-6} -2 z^4 a^{-8} +10 z^2 a^{-2} -24 z^2 a^{-4} +22 z^2 a^{-6} -5 z^2 a^{-8} +3 a^{-2} -6 a^{-4} +7 a^{-6} -3 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +9 z^{10} a^{-4} +5 z^{10} a^{-6} +3 z^9 a^{-1} -3 z^9 a^{-3} -4 z^9 a^{-5} +3 z^9 a^{-7} +z^9 a^{-9} -19 z^8 a^{-2} -50 z^8 a^{-4} -32 z^8 a^{-6} +2 z^8 a^{-10} +z^8-15 z^7 a^{-1} -23 z^7 a^{-3} -24 z^7 a^{-5} -23 z^7 a^{-7} -6 z^7 a^{-9} +z^7 a^{-11} +25 z^6 a^{-2} +87 z^6 a^{-4} +62 z^6 a^{-6} -6 z^6 a^{-8} -11 z^6 a^{-10} -5 z^6+22 z^5 a^{-1} +50 z^5 a^{-3} +61 z^5 a^{-5} +43 z^5 a^{-7} +5 z^5 a^{-9} -5 z^5 a^{-11} -16 z^4 a^{-2} -73 z^4 a^{-4} -58 z^4 a^{-6} +6 z^4 a^{-8} +14 z^4 a^{-10} +7 z^4-13 z^3 a^{-1} -35 z^3 a^{-3} -47 z^3 a^{-5} -31 z^3 a^{-7} +6 z^3 a^{-11} +9 z^2 a^{-2} +33 z^2 a^{-4} +30 z^2 a^{-6} +4 z^2 a^{-8} -5 z^2 a^{-10} -3 z^2+3 z a^{-1} +9 z a^{-3} +11 z a^{-5} +8 z a^{-7} +z a^{-9} -2 z a^{-11} -3 a^{-2} -6 a^{-4} -7 a^{-6} -3 a^{-8} }[/math] |
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