K13n1594
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Polynomial invariants
| Jones polynomial | Data:K13n1594/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+8 t^2-15 t+17-15 t^{-1} +8 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1594/Conway Polynomial |
| Determinant | 65 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-2 a^{12}+2 z^4 a^{10}+6 z^2 a^{10}+4 a^{10}-z^6 a^8-4 z^4 a^8-7 z^2 a^8-5 a^8+3 z^4 a^6+8 z^2 a^6+4 a^6+z^4 a^4+2 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-5 z^5 a^{15}+7 z^3 a^{15}-3 z a^{15}+2 z^8 a^{14}-9 z^6 a^{14}+10 z^4 a^{14}-2 z^2 a^{14}+2 z^9 a^{13}-7 z^7 a^{13}+3 z^5 a^{13}+3 z^3 a^{13}+2 z^{10} a^{12}-9 z^8 a^{12}+16 z^6 a^{12}-20 z^4 a^{12}+12 z^2 a^{12}-2 a^{12}+z^{11} a^{11}-3 z^9 a^{11}+z^7 a^{11}+5 z^5 a^{11}-9 z^3 a^{11}+2 z a^{11}+4 z^{10} a^{10}-23 z^8 a^{10}+54 z^6 a^{10}-57 z^4 a^{10}+23 z^2 a^{10}-4 a^{10}+z^{11} a^9-4 z^9 a^9+6 z^7 a^9+z^5 a^9-4 z^3 a^9+2 z^{10} a^8-12 z^8 a^8+33 z^6 a^8-39 z^4 a^8+24 z^2 a^8-5 a^8+z^9 a^7-3 z^7 a^7+6 z^5 a^7-2 z^3 a^7+z a^7+4 z^6 a^6-11 z^4 a^6+13 z^2 a^6-4 a^6+2 z^5 a^5-3 z^3 a^5+z^4 a^4-2 z^2 a^4 }[/math] |
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