K13n3903
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Polynomial invariants
| Jones polynomial | Data:K13n3903/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+22 t^2-39 t+47-39 t^{-1} +22 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n3903/Conway Polynomial |
| Determinant | 185 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-2 z^6 a^8-6 z^4 a^8-6 z^2 a^8-2 a^8+z^8 a^6+4 z^6 a^6+6 z^4 a^6+3 z^2 a^6-a^6-z^6 a^4-z^4 a^4+3 z^2 a^4+3 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+4 z^7 a^{13}-8 z^5 a^{13}+2 z^3 a^{13}+9 z^8 a^{12}-22 z^6 a^{12}+17 z^4 a^{12}-6 z^2 a^{12}+12 z^9 a^{11}-32 z^7 a^{11}+34 z^5 a^{11}-19 z^3 a^{11}+4 z a^{11}+8 z^{10} a^{10}-10 z^8 a^{10}-8 z^6 a^{10}+17 z^4 a^{10}-5 z^2 a^{10}-a^{10}+2 z^{11} a^9+16 z^9 a^9-56 z^7 a^9+70 z^5 a^9-37 z^3 a^9+8 z a^9+12 z^{10} a^8-26 z^8 a^8+27 z^6 a^8-15 z^4 a^8+7 z^2 a^8-2 a^8+2 z^{11} a^7+6 z^9 a^7-18 z^7 a^7+25 z^5 a^7-16 z^3 a^7+2 z a^7+4 z^{10} a^6-7 z^8 a^6+18 z^6 a^6-20 z^4 a^6+4 z^2 a^6+a^6+2 z^9 a^5+2 z^7 a^5-2 z^5 a^5-z^3 a^5-2 z a^5+6 z^6 a^4-7 z^4 a^4-2 z^2 a^4+3 a^4+z^5 a^3-z^3 a^3 }[/math] |
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