K13n2467
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Polynomial invariants
| Jones polynomial | Data:K13n2467/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-19 t^2+42 t-53+42 t^{-1} -19 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2467/Conway Polynomial |
| Determinant | 183 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +2 z^6 a^{-4} +5 z^4 a^{-2} +5 z^4 a^{-4} -3 z^4 a^{-6} -2 z^4+4 z^2 a^{-2} +6 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} -3 z^2+4 a^{-4} -4 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +7 z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^9 a^{-1} +10 z^9 a^{-3} +14 z^9 a^{-5} +7 z^9 a^{-7} +3 z^8 a^{-2} +5 z^8 a^{-4} +10 z^8 a^{-6} +7 z^8 a^{-8} +z^8+2 z^7 a^{-1} -10 z^7 a^{-3} -20 z^7 a^{-5} -4 z^7 a^{-7} +4 z^7 a^{-9} -4 z^6 a^{-2} -32 z^6 a^{-4} -36 z^6 a^{-6} -13 z^6 a^{-8} +z^6 a^{-10} +6 z^6+3 a z^5-8 z^5 a^{-1} -13 z^5 a^{-3} -10 z^5 a^{-5} -17 z^5 a^{-7} -9 z^5 a^{-9} -5 z^4 a^{-2} +32 z^4 a^{-4} +33 z^4 a^{-6} +7 z^4 a^{-8} -2 z^4 a^{-10} -13 z^4-4 a z^3+6 z^3 a^{-1} +21 z^3 a^{-3} +25 z^3 a^{-5} +21 z^3 a^{-7} +7 z^3 a^{-9} +4 z^2 a^{-2} -16 z^2 a^{-4} -17 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +6 z^2-2 z a^{-1} -6 z a^{-3} -10 z a^{-5} -8 z a^{-7} -2 z a^{-9} +4 a^{-4} +4 a^{-6} + a^{-8} }[/math] |
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