K13n3830
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Polynomial invariants
| Jones polynomial | Data:K13n3830/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3830/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} -z^8+a^2 z^6+7 z^6 a^{-2} -z^6 a^{-4} -8 z^6+5 a^2 z^4+18 z^4 a^{-2} -4 z^4 a^{-4} -22 z^4+8 a^2 z^2+20 z^2 a^{-2} -5 z^2 a^{-4} -25 z^2+4 a^2+8 a^{-2} -2 a^{-4} -9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+2 z^{10} a^{-2} +z^{10} a^{-4} +3 z^{10}+2 a^3 z^9-5 a z^9-7 z^9 a^{-1} +3 z^9 a^{-3} +3 z^9 a^{-5} +a^4 z^8-12 a^2 z^8-16 z^8 a^{-2} -z^8 a^{-4} +3 z^8 a^{-6} -25 z^8-12 a^3 z^7+10 z^7 a^{-1} -15 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} -6 a^4 z^6+19 a^2 z^6+45 z^6 a^{-2} -7 z^6 a^{-4} -13 z^6 a^{-6} +64 z^6+20 a^3 z^5+16 a z^5+5 z^5 a^{-1} +25 z^5 a^{-3} +12 z^5 a^{-5} -4 z^5 a^{-7} +10 a^4 z^4-13 a^2 z^4-62 z^4 a^{-2} +4 z^4 a^{-4} +15 z^4 a^{-6} -74 z^4-12 a^3 z^3-15 a z^3-18 z^3 a^{-1} -25 z^3 a^{-3} -6 z^3 a^{-5} +4 z^3 a^{-7} -5 a^4 z^2+10 a^2 z^2+36 z^2 a^{-2} +3 z^2 a^{-4} -4 z^2 a^{-6} +44 z^2+3 a^3 z+6 a z+8 z a^{-1} +8 z a^{-3} +3 z a^{-5} -4 a^2-8 a^{-2} -2 a^{-4} -9 }[/math] |
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