K13n4107
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Polynomial invariants
| Jones polynomial | Data:K13n4107/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+23 t-25+23 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4107/Conway Polynomial |
| Determinant | 115 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6+2 z^6 a^{-2} -5 z^6+3 a^2 z^4+8 z^4 a^{-2} -z^4 a^{-4} -9 z^4+2 a^2 z^2+10 z^2 a^{-2} -3 z^2 a^{-4} -8 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+4 z^{10} a^{-2} +9 z^{10}+4 a^3 z^9+a z^9+3 z^9 a^{-3} +a^4 z^8-20 a^2 z^8-11 z^8 a^{-2} +z^8 a^{-4} -33 z^8-18 a^3 z^7-29 a z^7-14 z^7 a^{-1} -3 z^7 a^{-3} -4 a^4 z^6+19 a^2 z^6+19 z^6 a^{-2} +7 z^6 a^{-4} +35 z^6+24 a^3 z^5+43 a z^5+15 z^5 a^{-1} +3 z^5 a^{-3} +7 z^5 a^{-5} +5 a^4 z^4+a^2 z^4-34 z^4 a^{-2} -14 z^4 a^{-4} +3 z^4 a^{-6} -21 z^4-9 a^3 z^3-18 a z^3-14 z^3 a^{-1} -12 z^3 a^{-3} -6 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2-a^2 z^2+21 z^2 a^{-2} +10 z^2 a^{-4} +12 z^2+a^3 z+3 a z+5 z a^{-1} +6 z a^{-3} +3 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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