K14a15311
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Polynomial invariants
| Jones polynomial | Data:K14a15311/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-21 t^3+63 t^2-117 t+145-117 t^{-1} +63 t^{-2} -21 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K14a15311/Conway Polynomial |
| Determinant | Data:K14a15311/Determinant |
| Signature | Data:K14a15311/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-2} +z^8-2 a^2 z^6+7 z^6 a^{-2} -3 z^6 a^{-4} +z^6+a^4 z^4-5 a^2 z^4+10 z^4 a^{-2} -8 z^4 a^{-4} +z^4 a^{-6} -2 z^4+2 a^4 z^2-4 a^2 z^2+6 z^2 a^{-2} -8 z^2 a^{-4} +2 z^2 a^{-6} -4 z^2+a^4+2 a^{-2} -3 a^{-4} +2 a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{13} a^{-1} +4 z^{13} a^{-3} +26 z^{12} a^{-2} +13 z^{12} a^{-4} +13 z^{12}+20 a z^{11}+32 z^{11} a^{-1} +30 z^{11} a^{-3} +18 z^{11} a^{-5} +20 a^2 z^{10}-46 z^{10} a^{-2} -12 z^{10} a^{-4} +13 z^{10} a^{-6} -z^{10}+15 a^3 z^9-34 a z^9-108 z^9 a^{-1} -114 z^9 a^{-3} -50 z^9 a^{-5} +5 z^9 a^{-7} +9 a^4 z^8-38 a^2 z^8-19 z^8 a^{-2} -51 z^8 a^{-4} -40 z^8 a^{-6} +z^8 a^{-8} -56 z^8+4 a^5 z^7-26 a^3 z^7+17 a z^7+107 z^7 a^{-1} +115 z^7 a^{-3} +41 z^7 a^{-5} -14 z^7 a^{-7} +a^6 z^6-15 a^4 z^6+33 a^2 z^6+69 z^6 a^{-2} +82 z^6 a^{-4} +43 z^6 a^{-6} -3 z^6 a^{-8} +82 z^6-7 a^5 z^5+20 a^3 z^5+11 a z^5-35 z^5 a^{-1} -52 z^5 a^{-3} -21 z^5 a^{-5} +12 z^5 a^{-7} -2 a^6 z^4+9 a^4 z^4-10 a^2 z^4-44 z^4 a^{-2} -58 z^4 a^{-4} -28 z^4 a^{-6} +3 z^4 a^{-8} -38 z^4+3 a^5 z^3-9 a^3 z^3-7 a z^3+2 z^3 a^{-1} +12 z^3 a^{-3} +12 z^3 a^{-5} -3 z^3 a^{-7} +a^6 z^2-4 a^4 z^2-a^2 z^2+12 z^2 a^{-2} +22 z^2 a^{-4} +14 z^2 a^{-6} -z^2 a^{-8} +9 z^2+a^3 z+a z+z a^{-1} -3 z a^{-3} -4 z a^{-5} +a^4-2 a^{-2} -3 a^{-4} -2 a^{-6} -1 }[/math] |
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