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by Fredkin
11 days ago
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Lots of other point collisions too:
{{{-1, 3/2, 13/2}, {1, -3/2, 13/2}, {0, 0, -1/4}},
{{0, 7/8, -(3479/1152)}, {48/7, 0, 49/1152}, {-(48/7), 7/16, 539/2304}},
{{-1, 7/8, -(40523/648)}, {160/7, 0, 49/5184}},
{{-2, 7/8, 2989/1296}, {32/21, 0, -(49/192)}},
{{1/63 (-120 - 16 Sqrt[3]), 7/8, 0}, {4/7 (-1 + 3 Sqrt[3]), 0, 49/288 (5 + 3 Sqrt[3])}}
};
Next steps would be a simpler counterexample or family of polynomials where the conjecture breaks. |
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