K13a1078
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Polynomial invariants
| Jones polynomial | Data:K13a1078/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-10 t^3+36 t^2-73 t+93-73 t^{-1} +36 t^{-2} -10 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13a1078/Conway Polynomial |
| Determinant | 333 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-2 a^2 z^6-3 z^6 a^{-2} +3 z^6+a^4 z^4-5 a^2 z^4-8 z^4 a^{-2} +3 z^4 a^{-4} +5 z^4+2 a^4 z^2-5 a^2 z^2-9 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +4 z^2+a^4-a^2-4 a^{-2} +4 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+8 a z^{11}+14 z^{11} a^{-1} +6 z^{11} a^{-3} +14 a^2 z^{10}+18 z^{10} a^{-2} +8 z^{10} a^{-4} +24 z^{10}+14 a^3 z^9+8 a z^9-9 z^9 a^{-1} +4 z^9 a^{-3} +7 z^9 a^{-5} +9 a^4 z^8-20 a^2 z^8-39 z^8 a^{-2} -8 z^8 a^{-4} +4 z^8 a^{-6} -56 z^8+4 a^5 z^7-27 a^3 z^7-45 a z^7-28 z^7 a^{-1} -30 z^7 a^{-3} -15 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-16 a^4 z^6+7 a^2 z^6+9 z^6 a^{-2} -19 z^6 a^{-4} -12 z^6 a^{-6} +40 z^6-7 a^5 z^5+25 a^3 z^5+51 a z^5+32 z^5 a^{-1} +22 z^5 a^{-3} +6 z^5 a^{-5} -3 z^5 a^{-7} -2 a^6 z^4+11 a^4 z^4+7 a^2 z^4+22 z^4 a^{-2} +34 z^4 a^{-4} +13 z^4 a^{-6} -5 z^4+3 a^5 z^3-13 a^3 z^3-21 a z^3-10 z^3 a^{-1} -4 z^3 a^{-3} +4 z^3 a^{-5} +3 z^3 a^{-7} +a^6 z^2-5 a^4 z^2-7 a^2 z^2-19 z^2 a^{-2} -21 z^2 a^{-4} -6 z^2 a^{-6} -5 z^2+2 a^3 z+2 a z+z a^{-1} -2 z a^{-5} -z a^{-7} +a^4+a^2+4 a^{-2} +4 a^{-4} + a^{-6} +2 }[/math] |
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