K13n515
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Polynomial invariants
| Jones polynomial | Data:K13n515/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+27 t^2-51 t+63-51 t^{-1} +27 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n515/Conway Polynomial |
| Determinant | 237 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-z^6 a^{-2} +3 z^6+a^4 z^4-5 a^2 z^4+z^4 a^{-2} +2 z^4+2 a^4 z^2-4 a^2 z^2+8 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2+a^4-a^2+7 a^{-2} -3 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +8 a^2 z^{10}+7 z^{10} a^{-2} +15 z^{10}+12 a^3 z^9+27 a z^9+23 z^9 a^{-1} +8 z^9 a^{-3} +9 a^4 z^8+6 a^2 z^8-z^8 a^{-2} +3 z^8 a^{-4} -7 z^8+4 a^5 z^7-20 a^3 z^7-69 a z^7-59 z^7 a^{-1} -14 z^7 a^{-3} +a^6 z^6-17 a^4 z^6-43 a^2 z^6-9 z^6 a^{-2} +3 z^6 a^{-4} -37 z^6-7 a^5 z^5+13 a^3 z^5+62 a z^5+61 z^5 a^{-1} +25 z^5 a^{-3} +6 z^5 a^{-5} -2 a^6 z^4+14 a^4 z^4+45 a^2 z^4+z^4 a^{-2} -10 z^4 a^{-4} +40 z^4+4 a^5 z^3-7 a^3 z^3-32 a z^3-40 z^3 a^{-1} -30 z^3 a^{-3} -11 z^3 a^{-5} +a^6 z^2-7 a^4 z^2-18 a^2 z^2+9 z^2 a^{-2} +7 z^2 a^{-4} -8 z^2-a^5 z+2 a^3 z+10 a z+14 z a^{-1} +12 z a^{-3} +5 z a^{-5} +a^4+a^2-7 a^{-2} -3 a^{-4} -3 }[/math] |
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