K13a1076
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Polynomial invariants
| Jones polynomial | Data:K13a1076/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-24 t^3+53 t^2-84 t+99-84 t^{-1} +53 t^{-2} -24 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a1076/Conway Polynomial |
| Determinant | 437 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+2 z^8 a^{-2} -6 z^8+4 a^2 z^6+9 z^6 a^{-2} -z^6 a^{-4} -15 z^6+6 a^2 z^4+15 z^4 a^{-2} -3 z^4 a^{-4} -19 z^4+4 a^2 z^2+11 z^2 a^{-2} -3 z^2 a^{-4} -13 z^2+2 a^2+4 a^{-2} - a^{-4} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{12} a^{-2} +4 z^{12}+15 a z^{11}+28 z^{11} a^{-1} +13 z^{11} a^{-3} +23 a^2 z^{10}+37 z^{10} a^{-2} +17 z^{10} a^{-4} +43 z^{10}+21 a^3 z^9+4 a z^9-33 z^9 a^{-1} -4 z^9 a^{-3} +12 z^9 a^{-5} +13 a^4 z^8-33 a^2 z^8-118 z^8 a^{-2} -36 z^8 a^{-4} +5 z^8 a^{-6} -123 z^8+5 a^5 z^7-34 a^3 z^7-56 a z^7-40 z^7 a^{-1} -52 z^7 a^{-3} -28 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-20 a^4 z^6+16 a^2 z^6+123 z^6 a^{-2} +22 z^6 a^{-4} -11 z^6 a^{-6} +127 z^6-6 a^5 z^5+22 a^3 z^5+60 a z^5+78 z^5 a^{-1} +70 z^5 a^{-3} +22 z^5 a^{-5} -2 z^5 a^{-7} -a^6 z^4+12 a^4 z^4-9 a^2 z^4-63 z^4 a^{-2} -6 z^4 a^{-4} +7 z^4 a^{-6} -72 z^4+2 a^5 z^3-8 a^3 z^3-29 a z^3-41 z^3 a^{-1} -33 z^3 a^{-3} -10 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2+6 a^2 z^2+21 z^2 a^{-2} +3 z^2 a^{-4} -2 z^2 a^{-6} +24 z^2+2 a^3 z+5 a z+7 z a^{-1} +6 z a^{-3} +2 z a^{-5} -2 a^2-4 a^{-2} - a^{-4} -4 }[/math] |
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