K13n4170
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Polynomial invariants
| Jones polynomial | Data:K13n4170/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+24 t^2-46 t+57-46 t^{-1} +24 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4170/Conway Polynomial |
| Determinant | 213 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}+a^{10}-2 z^6 a^8-5 z^4 a^8-5 z^2 a^8-3 a^8+z^8 a^6+4 z^6 a^6+7 z^4 a^6+5 z^2 a^6+a^6-z^6 a^4-z^4 a^4+2 z^2 a^4+2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-z^4 a^{14}+5 z^7 a^{13}-7 z^5 a^{13}+z^3 a^{13}+12 z^8 a^{12}-23 z^6 a^{12}+10 z^4 a^{12}-3 z^2 a^{12}+16 z^9 a^{11}-35 z^7 a^{11}+24 z^5 a^{11}-11 z^3 a^{11}+3 z a^{11}+11 z^{10} a^{10}-13 z^8 a^{10}-8 z^6 a^{10}+10 z^4 a^{10}-2 z^2 a^{10}-a^{10}+3 z^{11} a^9+18 z^9 a^9-58 z^7 a^9+58 z^5 a^9-26 z^3 a^9+8 z a^9+16 z^{10} a^8-35 z^8 a^8+33 z^6 a^8-15 z^4 a^8+8 z^2 a^8-3 a^8+3 z^{11} a^7+4 z^9 a^7-15 z^7 a^7+24 z^5 a^7-16 z^3 a^7+4 z a^7+5 z^{10} a^6-10 z^8 a^6+23 z^6 a^6-21 z^4 a^6+6 z^2 a^6-a^6+2 z^9 a^5+3 z^7 a^5-2 z^5 a^5-3 z^3 a^5-z a^5+6 z^6 a^4-7 z^4 a^4-z^2 a^4+2 a^4+z^5 a^3-z^3 a^3 }[/math] |
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