P(1,1,2,3,7)[14]

Hodge numbers

Vertices of Newton Polyhedron

1. {-13, 1, 1, 1}
2. {1, -6, 1, 1}
3. {1, 0, -3, 1}
4. {1, 1, 1, -1}
5. {1, 1, 1, 1}
6. {1, 1, -3, 1}
7. {-1, 1, -3, 1}

Vertices of Polar Polyhedron

1. {-1, -2, -3, -7}
2. {1, 0, 0, 0}
3. {0, 1, 0, 0}
4. {0, 0, 1, 0}
5. {0, 0, 0, 1}
6. {0, 0, -1, -2}
7. {0, 0, 0, -1} (*)

List of possible phases

Circuits

• {7}, {4, 5, 6}
• {1, 2, 3, 5}, {6, 7}
• {1, 2, 3}, {4, 6}
• {7}, {1, 2, 3, 4, 5}

Triangulations

1. [[2, 3, 5, 6], [2, 3, 4, 6], [2, 3, 4, 5], [1, 3, 5, 6] , [1, 3, 4, 6], [1, 3, 4, 5], [1, 2, 5, 6], [1, 2, 4, 6], [1, 2, 4, 5]]
2. [[2 , 3, 5, 6], [2, 3, 4, 5], [1, 3, 5, 6], [1, 3, 4, 5], [1, 2, 5, 6], [1, 2, 3, 6 ], [1, 2, 4, 5], [1, 2, 3, 4]]
3. [[2, 3, 4, 5], [1, 3, 4, 5], [1, 2, 3, 5], [1, 2, 3, 5 , 6], [1, 2, 4, 5], [1, 2, 3, 4]]

Mori cones

1. [[2, 2, 4, -1, 0, -7, 0], [0, 0, 0, 1, 2, 1, -4]]
2. [[1 , 1, 2, 0, 1, -3, -2], [-2, -2, -4, 1, 0, 7, 0]]
3. [[-1, -1, -2, 0, -1, 3, 2], [1, 1, 2, 3, 7, 0, -14]]

Yukawa couplings

Instanton numbers

• Genus 0
• Genus 1