K13n4035
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Polynomial invariants
| Jones polynomial | Data:K13n4035/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-19 t^2+32 t-37+32 t^{-1} -19 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4035/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -3 z^6 a^{-2} +z^6 a^{-4} +z^6+z^4 a^{-2} +z^4 a^{-4} +z^4+9 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2+6 a^{-2} -3 a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-2} +3 z^{10} a^{-4} +11 z^9 a^{-1} +16 z^9 a^{-3} +5 z^9 a^{-5} +19 z^8 a^{-2} +8 z^8 a^{-4} +2 z^8 a^{-6} +13 z^8+6 a z^7-14 z^7 a^{-1} -23 z^7 a^{-3} -3 z^7 a^{-5} +a^2 z^6-49 z^6 a^{-2} -15 z^6 a^{-4} +6 z^6 a^{-6} -27 z^6-8 a z^5-7 z^5 a^{-1} +3 z^5 a^{-3} +8 z^5 a^{-5} +6 z^5 a^{-7} +14 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} +10 z^4-z^3 a^{-1} -6 z^3 a^{-3} -6 z^3 a^{-5} -z^3 a^{-7} +12 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +5 z^2+2 a z+5 z a^{-1} +6 z a^{-3} +2 z a^{-5} -z a^{-7} -6 a^{-2} -3 a^{-4} -2 }[/math] |
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