K13a1070
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Polynomial invariants
| Jones polynomial | Data:K13a1070/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-10 t^3+29 t^2-53 t+65-53 t^{-1} +29 t^{-2} -10 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1070/Conway Polynomial |
| Determinant | 253 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+4 z^6 a^{-2} -2 z^6 a^{-4} +5 z^6-4 a^2 z^4+7 z^4 a^{-2} -6 z^4 a^{-4} +z^4 a^{-6} +11 z^4-6 a^2 z^2+5 z^2 a^{-2} -6 z^2 a^{-4} +z^2 a^{-6} +11 z^2-3 a^2+ a^{-2} -2 a^{-4} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +6 z^{11} a^{-1} +13 z^{11} a^{-3} +7 z^{11} a^{-5} +14 z^{10} a^{-2} +14 z^{10} a^{-4} +9 z^{10} a^{-6} +9 z^{10}+10 a z^9-31 z^9 a^{-3} -16 z^9 a^{-5} +5 z^9 a^{-7} +9 a^2 z^8-54 z^8 a^{-2} -72 z^8 a^{-4} -35 z^8 a^{-6} +z^8 a^{-8} -9 z^8+6 a^3 z^7-13 a z^7-26 z^7 a^{-1} -12 z^7 a^{-5} -19 z^7 a^{-7} +3 a^4 z^6-14 a^2 z^6+55 z^6 a^{-2} +90 z^6 a^{-4} +39 z^6 a^{-6} -3 z^6 a^{-8} -10 z^6+a^5 z^5-8 a^3 z^5+3 a z^5+28 z^5 a^{-1} +34 z^5 a^{-3} +38 z^5 a^{-5} +20 z^5 a^{-7} -4 a^4 z^4+14 a^2 z^4-24 z^4 a^{-2} -43 z^4 a^{-4} -13 z^4 a^{-6} +2 z^4 a^{-8} +22 z^4-2 a^5 z^3+5 a^3 z^3+8 a z^3-10 z^3 a^{-1} -25 z^3 a^{-3} -19 z^3 a^{-5} -5 z^3 a^{-7} +a^4 z^2-9 a^2 z^2+4 z^2 a^{-2} +10 z^2 a^{-4} +z^2 a^{-6} -15 z^2+a^5 z-2 a^3 z-5 a z+6 z a^{-3} +3 z a^{-5} -z a^{-7} +3 a^2- a^{-2} -2 a^{-4} +5 }[/math] |
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