K13n1072
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Polynomial invariants
| Jones polynomial | Data:K13n1072/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+19 t^2-30 t+35-30 t^{-1} +19 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1072/Conway Polynomial |
| Determinant | 153 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+4 z^2 a^{10}+4 a^{10}-3 z^6 a^8-15 z^4 a^8-26 z^2 a^8-15 a^8+2 z^8 a^6+13 z^6 a^6+33 z^4 a^6+38 z^2 a^6+16 a^6-2 z^6 a^4-8 z^4 a^4-10 z^2 a^4-4 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}-8 z^5 a^{13}+6 z^3 a^{13}-2 z a^{13}+5 z^8 a^{12}-11 z^6 a^{12}+6 z^4 a^{12}-z^2 a^{12}+6 z^9 a^{11}-13 z^7 a^{11}+12 z^5 a^{11}-8 z^3 a^{11}+2 z a^{11}+4 z^{10} a^{10}-2 z^8 a^{10}-8 z^6 a^{10}+9 z^4 a^{10}+z^2 a^{10}-4 a^{10}+z^{11} a^9+12 z^9 a^9-44 z^7 a^9+75 z^5 a^9-65 z^3 a^9+24 z a^9+8 z^{10} a^8-19 z^8 a^8+31 z^6 a^8-37 z^4 a^8+34 z^2 a^8-15 a^8+z^{11} a^7+10 z^9 a^7-40 z^7 a^7+82 z^5 a^7-83 z^3 a^7+32 z a^7+4 z^{10} a^6-11 z^8 a^6+31 z^6 a^6-50 z^4 a^6+41 z^2 a^6-16 a^6+4 z^9 a^5-12 z^7 a^5+30 z^5 a^5-39 z^3 a^5+16 z a^5+z^8 a^4+4 z^6 a^4-13 z^4 a^4+11 z^2 a^4-4 a^4+3 z^5 a^3-7 z^3 a^3+4 z a^3 }[/math] |
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