K13n3278
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Polynomial invariants
| Jones polynomial | Data:K13n3278/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+23 t-25+23 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3278/Conway Polynomial |
| Determinant | 115 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -5 z^6-a^4 z^4+8 a^2 z^4+3 z^4 a^{-2} -9 z^4-3 a^4 z^2+10 a^2 z^2+2 z^2 a^{-2} -8 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+5 z^{10} a^{-2} +10 z^{10}+5 a^3 z^9+3 a z^9+2 z^9 a^{-1} +4 z^9 a^{-3} +3 a^4 z^8-15 a^2 z^8-20 z^8 a^{-2} +z^8 a^{-4} -39 z^8+a^5 z^7-14 a^3 z^7-33 a z^7-36 z^7 a^{-1} -18 z^7 a^{-3} -5 a^4 z^6+16 a^2 z^6+19 z^6 a^{-2} -4 z^6 a^{-4} +44 z^6+a^5 z^5+15 a^3 z^5+48 a z^5+58 z^5 a^{-1} +24 z^5 a^{-3} +3 a^6 z^4+3 a^4 z^4-19 a^2 z^4+5 z^4 a^{-4} -24 z^4+a^7 z^3+a^5 z^3-10 a^3 z^3-32 a z^3-32 z^3 a^{-1} -10 z^3 a^{-3} -2 a^6 z^2+4 a^4 z^2+15 a^2 z^2-z^2 a^{-2} -2 z^2 a^{-4} +10 z^2-a^7 z+4 a^3 z+7 a z+6 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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