K13n305
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Polynomial invariants
| Jones polynomial | Data:K13n305/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+4 t^3+t^2-10 t+15-10 t^{-1} + t^{-2} +4 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n305/Conway Polynomial |
| Determinant | 21 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{10}+5 z^2 a^{10}+4 a^{10}-z^8 a^8-9 z^6 a^8-26 z^4 a^8-33 z^2 a^8-16 a^8+z^{10} a^6+9 z^8 a^6+31 z^6 a^6+55 z^4 a^6+50 z^2 a^6+18 a^6-z^8 a^4-7 z^6 a^4-16 z^4 a^4-15 z^2 a^4-5 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+2 z^2 a^{14}+3 z^7 a^{13}-10 z^5 a^{13}+8 z^3 a^{13}-2 z a^{13}+3 z^8 a^{12}-8 z^6 a^{12}+z^4 a^{12}+2 z^2 a^{12}+z^9 a^{11}+z^7 a^{11}-11 z^5 a^{11}+7 z^3 a^{11}-z a^{11}+2 z^8 a^{10}-4 z^6 a^{10}-5 z^4 a^{10}+8 z^2 a^{10}-4 a^{10}+2 z^9 a^9-16 z^7 a^9+41 z^5 a^9-45 z^3 a^9+19 z a^9+3 z^{10} a^8-25 z^8 a^8+64 z^6 a^8-73 z^4 a^8+49 z^2 a^8-16 a^8+z^{11} a^7-3 z^9 a^7-21 z^7 a^7+79 z^5 a^7-83 z^3 a^7+31 z a^7+5 z^{10} a^6-38 z^8 a^6+91 z^6 a^6-97 z^4 a^6+59 z^2 a^6-18 a^6+z^{11} a^5-3 z^9 a^5-14 z^7 a^5+53 z^5 a^5-54 z^3 a^5+18 z a^5+2 z^{10} a^4-14 z^8 a^4+32 z^6 a^4-33 z^4 a^4+18 z^2 a^4-5 a^4+z^9 a^3-7 z^7 a^3+16 z^5 a^3-15 z^3 a^3+5 z a^3 }[/math] |
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