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LUknTWF0cml4RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMvSSQlaWRHRiciNWVaR09gWFluVz0=

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UUBUaGlzfmxpc3R+TDF+aXN+dGhlfndob2xlfmxpc3QuNiI=

UWZuVGhpc35saXN0fkwyfmNvbnNpZGVyfm9ubHl+dGhlfnNpbXBsaWNlc35oYXZpbmd+dGhlfm9yaWdpbi42Ig==

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UVFOdW1iZXJ+b2Z+ZWxlbWVudHN+b2Z+TDEsfkwyLEwzLH5MNCx+YW5kfkw1fmFyZS42Ig==

IiRcJw==

IiRnIw==

IiQrIg==

IiNA

IiM9

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There is 0 configurations with 1 valid polytopes. There is 0 configurations with 2 valid polytopes. There is 5 configurations with 3 valid polytopes. There is 0 configurations with 4 valid polytopes. There is 10 configurations with 5 valid polytopes. There is 0 configurations with 6 valid polytopes. There is 3 configurations with 7 valid polytopes.

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NyU3JiIiIiIiIyIiJCIjNTcmRiRGJSIiKkYnRig=

NyU3JiIiIiIiIyIiJCIjNTcmRiRGJiIiKEYnRig=

NyU3JiIiIiIiIyIiJCIjNTcmRiRGJiIiKUYnRig=

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Nyc3JiIiIiIiIyIiJCIjNTcmRiRGJSIiKUYnNyZGJEYlIiIqRic3JkYkRilGK0YnNyZGJUYpRitGJw==

Nyc3JiIiIiIiIyIiJCIjNTcmRiRGJiIiKEYnNyZGJEYmIiIpRic3JkYkRilGK0YnNyZGJkYpRitGJw==

Nyc3JiIiIiIiIyIiKCIjNTcmRiRGJSIiKkYnRig3JkYkIiIkRiZGJzcmRiVGK0YmRic=

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Nyc3JiIiIiIiIyIiKiIjNTcmRiQiIiQiIihGJzcmRiRGKkYmRic3JkYlRilGJkYnNyZGKUYqRiZGJw==

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Nyc3JiIiIiIiIyIiKiIjNTcmRiQiIiQiIilGJzcmRiRGKkYmRic3JkYlRilGJkYnNyZGKUYqRiZGJw==

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Nyk3JiIiIiIiIyIiKiIjNTcmRiQiIiQiIihGJzcmRiRGKiIiKUYnNyZGJEYsRiZGJzcmRiVGKUYsRic3JkYlRixGJkYnNyZGKUYqRixGJw==

Nyk3JiIiIiIiIyIiKiIjNTcmRiQiIiQiIihGJzcmRiRGKiIiKUYnNyZGJEYsRiZGJzcmRiVGKUYmRic3JkYpRipGLEYnNyZGKUYsRiZGJw==

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

Number of solutions to try: 15.

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There are 6 maximal regions, in which there are 3 positive solutions each. The original triangulations, simplices positively decorated, regions, and a point on each one are:

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NyU3JiIiIiIiIyIiJCIjNTcmRiRGJSIiKUYnNyZGJEYlIiIqRic=

PCYsKComSSJFRzYiIiIiJkkiTUdGJjYjRidGJyEiIiomSSJGR0YmRidGKEYnRitGJUYnLCgqJkYlRicmRik2IyIiI0YnRisqJkYtRidGMEYnRitGJUYnLCgqJkkiU0dGJkYnRihGJ0YrRi1GK0Y2RicsKComRjZGJ0YwRidGK0YtRitGNkYn

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