The Multivariable Alexander Polynomial: Difference between revisions
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<!--$$?MultivariableAlexander$$--> |
<!--$$?MultivariableAlexander$$--> |
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n = 2 | |
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in = <nowiki>MultivariableAlexander</nowiki> | |
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out= <nowiki>MultivariableAlexander[L][t] returns the multivariable alexander polynomial of a link L as a function of the variable t[1], t[2], ..., t[c], where c is the number of components of L.</nowiki>}} |
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<!--$$Select[AllLinks[], (MultivariableAlexander[#][t] == 0) &]$$--> |
<!--$$Select[AllLinks[], (MultivariableAlexander[#][t] == 0) &]$$--> |
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n = 3 | |
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in = <nowiki>Select[AllLinks[], (MultivariableAlexander[#][t] == 0) &]</nowiki> | |
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out= <nowiki>{Link[9, NonAlternating, 27], Link[10, NonAlternating, 32], |
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Link[10, NonAlternating, 36], Link[10, NonAlternating, 107], |
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Link[11, NonAlternating, 244], Link[11, NonAlternating, 247], |
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Link[11, NonAlternating, 334], Link[11, NonAlternating, 381], |
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Link[11, NonAlternating, 396], Link[11, NonAlternating, 404], |
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Link[11, NonAlternating, 406]}</nowiki>}} |
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Revision as of 14:27, 5 September 2005
(For In[1] see Setup)
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There are 11 links with up to 11 crossings whose multivariable Alexander polynomial is . Here they are:
In[3]:=
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Select[AllLinks[], (MultivariableAlexander[#][t] == 0) &]
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Out[3]=
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{Link[9, NonAlternating, 27], Link[10, NonAlternating, 32],
Link[10, NonAlternating, 36], Link[10, NonAlternating, 107],
Link[11, NonAlternating, 244], Link[11, NonAlternating, 247],
Link[11, NonAlternating, 334], Link[11, NonAlternating, 381],
Link[11, NonAlternating, 396], Link[11, NonAlternating, 404],
Link[11, NonAlternating, 406]}
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