K13n3985
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Polynomial invariants
| Jones polynomial | Data:K13n3985/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-20 t^2+35 t-41+35 t^{-1} -20 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3985/Conway Polynomial |
| Determinant | 167 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +3 z^6 a^{-2} -5 z^6 a^{-4} +z^6 a^{-6} +12 z^4 a^{-2} -11 z^4 a^{-4} +3 z^4 a^{-6} -2 z^4+16 z^2 a^{-2} -12 z^2 a^{-4} +3 z^2 a^{-6} -5 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +14 z^{10} a^{-4} +8 z^{10} a^{-6} +4 z^9 a^{-1} -2 z^9 a^{-3} +4 z^9 a^{-5} +10 z^9 a^{-7} -23 z^8 a^{-2} -52 z^8 a^{-4} -20 z^8 a^{-6} +8 z^8 a^{-8} +z^8-10 z^7 a^{-1} -12 z^7 a^{-3} -33 z^7 a^{-5} -27 z^7 a^{-7} +4 z^7 a^{-9} +51 z^6 a^{-2} +88 z^6 a^{-4} +20 z^6 a^{-6} -20 z^6 a^{-8} +z^6 a^{-10} +4 z^6+3 a z^5+16 z^5 a^{-1} +38 z^5 a^{-3} +59 z^5 a^{-5} +25 z^5 a^{-7} -9 z^5 a^{-9} -56 z^4 a^{-2} -65 z^4 a^{-4} -10 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} -15 z^4-7 a z^3-17 z^3 a^{-1} -33 z^3 a^{-3} -38 z^3 a^{-5} -12 z^3 a^{-7} +3 z^3 a^{-9} +30 z^2 a^{-2} +24 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} +11 z^2+2 a z+6 z a^{-1} +10 z a^{-3} +8 z a^{-5} +2 z a^{-7} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
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