K13n3376
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Polynomial invariants
| Jones polynomial | Data:K13n3376/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-28 t^2+60 t-77+60 t^{-1} -28 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3376/Conway Polynomial |
| Determinant | 271 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +3 z^6 a^{-4} +z^6-8 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} +2 z^4-5 z^2 a^{-2} +8 z^2 a^{-4} -z^2 a^{-6} +2 z^2+2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +11 z^{10} a^{-2} +20 z^{10} a^{-4} +9 z^{10} a^{-6} +16 z^9 a^{-1} +32 z^9 a^{-3} +25 z^9 a^{-5} +9 z^9 a^{-7} +5 z^8 a^{-2} -12 z^8 a^{-4} -2 z^8 a^{-6} +3 z^8 a^{-8} +12 z^8+5 a z^7-25 z^7 a^{-1} -75 z^7 a^{-3} -55 z^7 a^{-5} -10 z^7 a^{-7} +a^2 z^6-46 z^6 a^{-2} -40 z^6 a^{-4} -10 z^6 a^{-6} +6 z^6 a^{-8} -21 z^6-7 a z^5+11 z^5 a^{-1} +45 z^5 a^{-3} +33 z^5 a^{-5} +12 z^5 a^{-7} +6 z^5 a^{-9} -a^2 z^4+38 z^4 a^{-2} +39 z^4 a^{-4} +5 z^4 a^{-6} -11 z^4 a^{-8} +14 z^4+3 a z^3-2 z^3 a^{-1} -7 z^3 a^{-3} -7 z^3 a^{-5} -14 z^3 a^{-7} -9 z^3 a^{-9} -9 z^2 a^{-2} -10 z^2 a^{-4} -z^2 a^{-6} +4 z^2 a^{-8} -4 z^2+4 z a^{-7} +4 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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