K13n1290
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Polynomial invariants
| Jones polynomial | Data:K13n1290/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+6 t^3-10 t^2+15 t-17+15 t^{-1} -10 t^{-2} +6 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n1290/Conway Polynomial |
| Determinant | 87 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +9 z^8 a^{-2} -z^8 a^{-4} -z^8+32 z^6 a^{-2} -8 z^6 a^{-4} -7 z^6+57 z^4 a^{-2} -24 z^4 a^{-4} +z^4 a^{-6} -18 z^4+53 z^2 a^{-2} -31 z^2 a^{-4} +4 z^2 a^{-6} -20 z^2+21 a^{-2} -15 a^{-4} +3 a^{-6} -8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10}+2 a z^9+3 z^9 a^{-3} +5 z^9 a^{-5} +2 a^2 z^8-32 z^8 a^{-2} -21 z^8 a^{-4} +2 z^8 a^{-6} -7 z^8+a^3 z^7-5 a z^7-12 z^7 a^{-1} -34 z^7 a^{-3} -28 z^7 a^{-5} -8 a^2 z^6+76 z^6 a^{-2} +48 z^6 a^{-4} -6 z^6 a^{-6} +14 z^6-5 a^3 z^5-2 a z^5+32 z^5 a^{-1} +91 z^5 a^{-3} +66 z^5 a^{-5} +4 z^5 a^{-7} +8 a^2 z^4-96 z^4 a^{-2} -51 z^4 a^{-4} +8 z^4 a^{-6} +z^4 a^{-8} -30 z^4+8 a^3 z^3+6 a z^3-43 z^3 a^{-1} -94 z^3 a^{-3} -62 z^3 a^{-5} -9 z^3 a^{-7} -a^2 z^2+64 z^2 a^{-2} +38 z^2 a^{-4} -2 z^2 a^{-8} +27 z^2-4 a^3 z-a z+19 z a^{-1} +35 z a^{-3} +23 z a^{-5} +4 z a^{-7} -21 a^{-2} -15 a^{-4} -3 a^{-6} -8 }[/math] |
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