F4 # point representatives from the cells that are positive # semi-definite in the reflection representation face {1, 2, 3, 4} [0, 0, 0, 0, 0] face {2, 3, 4} [1, 0, 0, 0] {} {1} {23} [0, 0, 0, 0, 1] face {1, 3, 4} [0, 1, 0, 0] {} {2} {13} [0, 0, 0, 0, 1] face {3, 4} [1, 1, 0, 0] {} {1, 2} {5} [1/4, 1, 0, 0] {1} {2} {5} [1/4, 3/4, 0, 0] {1, 2} {5} {13} [0, 1/2, 0, 0] {5} {13} {21} [0, 0, 0, 3, 1] face {1, 2, 4} [0, 0, 1/2, 0] {3} {6} {22} [0, 0, 0, 0, 1] face {2, 4} [1, 0, 1, 0] {} {1, 3} {6, 11} [1, 0, 1/2, 0] {3} {1, 6} {11} [1/4, 0, 3/8, 0] {6, 11} {9} {22} [0, 0, 0, 1, 2] face {1, 4} [0, 1, 1, 0] {} {2, 3} {7} [0, 0, 0, 0, 1] face {4} [1, 1, 1, 0] {} {1, 2, 3} {5, 7} [1/4, 1, 1, 0] {1} {2, 3} {5, 7} [1, 1/4, 1, 0] {2} {1, 3} {5, 7} [1/2, 3/4, 1, 0] {1, 2} {3} {5, 7} [1/4, 3/4, 1, 0] {1, 2} {3, 5} {7} [1, 1/2, 1/4, 0] {7} {1, 6} {5} [3/4, 1/2, 1/4, 0] {1, 7} {6} {5} [1/2, 1/2, 1/4, 0] {1, 7} {5, 6} {11} [1/4, 1/2, 1/4, 0] {5, 7} {6, 11} {9} [1/2, 1/4, 1/4, 0] {5, 6} {11} {9} [0, 1/8, 1/4, 0] {13} {22} {19} [0, 0, 4, 6, 1] face {1, 2, 3} [0, 0, 0, 1] {} {4} {10} [0, 0, 0, 1/2] {4} {10} {} [0, 0, 0, 0, 2] face {2, 3} [1, 0, 0, 1] {} {1, 4} {10, 15} [1/4, 0, 0, 1] {1} {4} {10, 15} [1, 0, 0, 1/2] {4} {1, 10} {15} [1, 0, 0, 1/4] {10} {1} {15} [1/4, 0, 0, 3/8] {10, 15} {14} {23} [1/2, 0, 0, 1/2] {1, 4} {10, 15} {14} [5/8, 0, 0, 3/8] {1, 10} {15} {14} [0, 0, 0, 4, 3] face {1, 3} [0, 1, 0, 1] {} {2, 4} {12, 13} [0, 1/2, 0, 1/2] {2, 4} {12, 13} {10, 20} [0, 1/4, 0, 3/4] {4, 13} {12} {10, 20} [0, 1/3, 0, 1/3] {12, 13} {10, 20} {17} [0, 0, 0, 1, 3] face {3} [1, 1, 0, 1] {} {1, 2, 4} {5, 12} [1/4, 1, 0, 1] {1} {2, 4} {5, 12} [1, 1/4, 0, 1] {2} {1, 4} {5, 12} [1/2, 3/4, 0, 1] {1, 2} {4} {5, 12} [1/4, 3/4, 0, 1] {1, 2} {4, 5} {12, 13} [1/2, 1/2, 0, 1/4] {1, 12} {5, 10} {13, 15} [3/4, 1/4, 0, 1/4] {1, 10} {5} {13, 15} [1, 1/4, 0, 3/4] {2, 4} {1, 12} {5, 10} [1/2, 3/4, 0, 1/4] {1, 2, 4} {12} {5, 10} [1/4, 3/4, 0, 1/4] {1, 2, 4} {5, 12} {10, 13, 15} [0, 1/2, 0, 1] {5} {4, 13} {12} [0, 1/4, 0, 1] {13} {4} {12} [1/4, 3/8, 0, 5/8] {4, 5} {12, 13} {10, 15} [1/4, 1/4, 0, 3/4] {4, 13} {12} {10, 15} [1/3, 1/3, 0, 1/3] {5, 12} {10, 13, 15} {14, 20} [1/2, 1/4, 0, 1/4] {5, 10} {13, 15} {14, 20} [3/8, 1/4, 0, 3/8] {12, 13} {10, 15} {14, 20} [11/24, 5/24, 0, 1/3] {10, 13} {15} {14, 20} [0, 1/4, 0, 1/4] {14, 20} {17} {21} [1/8, 1/4, 0, 3/8] {13, 15} {10, 20} {14} [1/4, 5/24, 0, 1/3] {10, 13, 15} {20} {14} [1/4, 1/4, 0, 1/4] {10, 13, 15} {14, 20} {17} [0, 0, 8, 12, 2] face {1, 2} [0, 0, 1/2, 1] {3} {4, 6} {8} [0, 0, 1/2, 3/4] {3, 4} {6} {8} [0, 0, 1/2, 1/2] {3, 4} {6, 8} {16} [0, 0, 1/4, 3/4] {4, 6} {8} {16} [0, 0, 1/4, 0] {24} {19} {} [0, 0, 1/4, 1/4] {16} {10, 22} {24} [0, 0, 1/8, 3/8] {22} {10} {24} [0, 0, 0, 4, 3] face {2} [1, 0, 1, 1] {} {1, 3, 4} {6, 8, 11} [1, 0, 1, 1/4] {4} {1, 3} {6, 8, 11} [1, 0, 1/2, 1] {3} {1, 4, 6} {8, 11} [1, 0, 1/2, 3/4] {3, 4} {1, 6} {8, 11} [1, 0, 1/4, 1] {6} {1, 4} {8, 11} [1, 0, 1/4, 7/8] {4, 6} {1} {8, 11} [1, 0, 1/2, 1/2] {3, 4} {1, 6, 8} {11, 16} [1, 0, 1/4, 3/4] {4, 6} {1, 8} {11, 16} [1, 0, 1/2, 1/4] {8} {1, 6} {11, 16} [1, 0, 1/4, 5/8] {6, 8} {1} {11, 16} [1/4, 0, 3/8, 1] {6, 11} {4, 9} {8} [1/8, 0, 7/16, 11/16] {4, 6, 11} {9} {8} [1/4, 0, 3/8, 5/8] {4, 6, 11} {8, 9} {15, 16} [1/4, 0, 3/8, 1/2] {6, 8, 11} {9} {15, 16} [1/4, 0, 1/4, 3/4] {4, 9} {8} {15, 16} [1, 0, 1/4, 1/4] {16} {1, 10} {11} [1, 0, 1/4, 0] {10} {1} {11} [5/8, 0, 3/16, 5/16] {11, 16} {9, 10} {15} [11/16, 0, 5/32, 9/32] {10, 11} {9} {15} [1/2, 0, 1/4, 1/4] {11, 16} {9, 10, 15} {18} [9/16, 0, 7/32, 7/32] {10, 11} {9, 15} {18} [1/2, 0, 1/2, 1/2] {1, 3, 4} {6, 8, 11} {9, 15, 16} [5/8, 0, 3/8, 5/8] {1, 4, 6} {8, 11} {9, 15, 16} [1/4, 0, 1/2, 1/2] {4, 11} {6, 8} {9, 15, 16} [1/4, 0, 7/16, 9/16] {4, 6, 11} {8} {9, 15, 16} [1/8, 0, 7/16, 7/16] {6, 8, 11} {9, 15} {16} [1, 0, 1/4, 1/2] {6, 8} {1, 16} {10, 11} [1/2, 0, 1/4, 1/2] {6, 8, 11} {9, 16} {10, 15} [1/3, 0, 1/3, 1/3] {6, 8, 11} {9, 15, 16} {10, 18} [1/4, 0, 1/4, 1/4] {9, 15, 16} {10, 18} {14, 22} [1/4, 0, 5/16, 1/8] {9, 10, 15} {18} {14, 22} [1/8, 0, 7/32, 0] {24} {19} {23} [1/8, 0, 7/32, 7/32] {10, 18} {14, 22} {24} [1/8, 0, 5/32, 9/32] {10, 22} {14} {24} [0, 0, 11, 17, 6] face {1} [0, 1, 1, 1] {} {2, 3, 4} {7, 8} [0, 1, 1/4, 1] {3} {2, 4} {7, 8} [0, 1, 1, 1/4] {4} {2, 3} {7, 8} [0, 1, 3/4, 1/2] {3, 4} {2} {7, 8} [0, 1/2, 1/4, 1] {7} {4, 6} {8, 13} [0, 1/8, 7/16, 11/16] {4, 7} {6} {8, 13} [0, 1/4, 3/8, 5/8] {4, 7} {6, 8} {12, 13} [0, 1, 3/4, 1/4] {3, 4} {2, 8} {7} [0, 1/2, 0, 1/4] {16} {10, 13} {20} [0, 3/8, 1/16, 1/4] {13, 16} {10} {20} [0, 1/2, 1/4, 1/4] {7, 8} {6, 12} {13, 16} [0, 1/4, 1/4, 1/2] {6, 8} {12, 13} {16} [0, 1/8, 5/16, 9/16] {8, 13} {12} {16} [0, 1/8, 5/16, 1/8] {13, 16} {10, 20} {17, 22} [0, 1/4, 0, 1/8] {19} {21} {} [0, 1/8, 5/32, 9/32] {20} {10, 22} {17} [0, 1/8, 3/32, 11/32] {22} {10} {17} [0, 0, 6, 10, 1] face {} [1, 1, 1, 1] {} {1, 2, 3, 4} {5, 7, 8} [1/4, 1, 1, 1] {1} {2, 3, 4} {5, 7, 8} [1, 1/4, 1, 1] {2} {1, 3, 4} {5, 7, 8} [1/2, 3/4, 1, 1] {1, 2} {3, 4} {5, 7, 8} [1, 1, 1/4, 1] {3} {1, 2, 4} {5, 7, 8} [1/4, 1, 1/4, 1] {1, 3} {2, 4} {5, 7, 8} [1, 3/4, 1/2, 1] {2, 3} {1, 4} {5, 7, 8} [1/2, 3/4, 1/2, 1] {1, 2, 3} {4} {5, 7, 8} [1, 1, 1, 1/4] {4} {1, 2, 3} {5, 7, 8} [1/4, 1, 1, 1/4] {1, 4} {2, 3} {5, 7, 8} [1, 1/4, 1, 1/4] {2, 4} {1, 3} {5, 7, 8} [1/2, 3/4, 1, 1/4] {1, 2, 4} {3} {5, 7, 8} [1, 1, 1/2, 3/4] {3, 4} {1, 2} {5, 7, 8} [1/4, 1, 1/2, 3/4] {1, 3, 4} {2} {5, 7, 8} [1, 3/4, 1/2, 3/4] {2, 3, 4} {1} {5, 7, 8} [1/2, 3/4, 1/2, 3/4] {1, 2, 3, 4} {} {5, 7, 8} [1/4, 3/4, 1, 1] {1, 2} {3, 4, 5} {7, 8} [1/4, 3/4, 1/2, 1] {1, 2, 3} {4, 5} {7, 8} [1/4, 3/4, 1, 1/4] {1, 2, 4} {3, 5} {7, 8} [1/4, 3/4, 1/2, 3/4] {1, 2, 3, 4} {5} {7, 8} [1, 1/2, 1/4, 1] {7} {1, 4, 6} {5, 8} [3/4, 1/2, 1/4, 1] {1, 7} {4, 6} {5, 8} [1, 1/2, 1/4, 7/8] {4, 7} {1, 6} {5, 8} [5/8, 1/2, 1/4, 7/8] {1, 4, 7} {6} {5, 8} [1, 1/4, 1/4, 1] {6} {1, 4} {5, 8} [1/2, 5/8, 1/8, 1] {1, 6} {4} {5, 8} [1, 1/8, 1/4, 7/8] {4, 6} {1} {5, 8} [3/4, 3/8, 1/4, 7/8] {1, 4, 6} {} {5, 8} [1/2, 1/2, 1/4, 1] {1, 7} {4, 5, 6} {8, 11} [1/2, 1/2, 1/4, 7/8] {1, 4, 7} {5, 6} {8, 11} [3/4, 1/4, 1/4, 1] {1, 6} {4, 5} {8, 11} [5/8, 3/8, 1/4, 7/8] {1, 4, 6} {5} {8, 11} [1, 1/2, 1/4, 3/4] {4, 7} {1, 6, 8} {5, 12} [3/4, 1/2, 1/4, 3/4] {1, 4, 7} {6, 8} {5, 12} [1, 1/4, 1/4, 3/4] {4, 6} {1, 8} {5, 12} [1/2, 5/8, 1/8, 7/8] {1, 4, 6} {8} {5, 12} [1/2, 1/2, 1/4, 3/4] {1, 4, 7} {5, 6, 8} {11, 12} [3/4, 1/4, 1/4, 3/4] {1, 4, 6} {5, 8} {11, 12} [1, 3/4, 1/4, 1] {2, 3} {1, 4, 7} {5, 6, 8} [1/2, 3/4, 1/4, 1] {1, 2, 3} {4, 7} {5, 6, 8} [1, 1/2, 1/2, 3/4] {2, 3, 4} {1, 7} {5, 6, 8} [3/4, 1/2, 1/2, 3/4] {1, 2, 3, 4} {7} {5, 6, 8} [1/4, 3/4, 1/4, 1] {1, 2, 3} {4, 5, 7} {6, 8, 11} [1/2, 1/2, 1/2, 3/4] {1, 2, 3, 4} {5, 7} {6, 8, 11} [1, 1, 1/4, 3/4] {3, 4} {1, 2, 8} {5, 7} [1/4, 1, 1/4, 3/4] {1, 3, 4} {2, 8} {5, 7} [1, 3/4, 1/2, 1/2] {2, 3, 4} {1, 8} {5, 7} [1/2, 3/4, 1/2, 1/2] {1, 2, 3, 4} {8} {5, 7} [1/4, 3/4, 1/2, 1/2] {1, 2, 3, 4} {5, 8} {7} [1, 3/4, 1/4, 3/4] {2, 3, 4} {1, 7, 8} {5, 6, 12} [1/2, 3/4, 1/4, 3/4] {1, 2, 3, 4} {7, 8} {5, 6, 12} [1/4, 3/4, 1/4, 3/4] {1, 2, 3, 4} {5, 7, 8} {6, 11, 12} [1/4, 1/4, 1/4, 1] {6, 11} {4, 9} {8, 13} [1/8, 3/8, 1/4, 7/8] {4, 6, 11} {9} {8, 13} [1/4, 1/4, 1/4, 3/4] {4, 6, 11} {8, 9} {12, 13} [1/4, 1/4, 1/4, 1/2] {6, 8, 11} {9, 12} {13, 15, 16} [1/4, 1/4, 1/4, 3/8] {6, 11, 12} {9} {13, 15, 16} [1, 1/2, 0, 1/4] {16} {1, 10} {5} [3/4, 1/2, 0, 1/4] {1, 16} {10} {5} [1, 1/4, 0, 0] {10} {1} {5} [1/2, 3/4, 0, 0] {1, 10} {} {5} [1/2, 1/2, 1/8, 1/8] {1, 16} {5, 10} {11} [3/4, 1/4, 1/4, 0] {1, 10} {5} {11} [1/2, 1/4, 1/8, 1/4] {11, 16} {9, 10} {13, 15} [5/8, 1/8, 1/8, 1/4] {10, 11} {9} {13, 15} [3/4, 0, 1/4, 1/4] {5, 16} {10, 11} {9, 15} [1/2, 3/8, 1/8, 1/8] {5, 10} {11} {9, 15} [5/8, 0, 1/4, 1/4] {11, 16} {10} {9, 15} [3/8, 7/16, 1/8, 1/8] {10, 11} {} {9, 15} [3/8, 1/4, 1/4, 1/8] {11, 16} {10, 15} {9} [1/2, 1/8, 1/4, 1/8] {10, 11} {15} {9} [1/4, 1/2, 1/8, 1/8] {11, 16} {9, 10, 15} {13, 18} [3/8, 3/8, 1/8, 1/8] {10, 11} {9, 15} {13, 18} [1/4, 1/2, 1/4, 1] {5, 7} {4, 6, 11} {8, 9} [1/2, 0, 1/2, 3/4] {4, 5, 7} {6, 11} {8, 9} [1/2, 1/4, 1/4, 1] {5, 6} {4, 11} {8, 9} [3/8, 3/8, 1/4, 7/8] {4, 5, 6} {11} {8, 9} [1/4, 0, 1/2, 1] {11} {4, 6} {8, 9} [1/4, 0, 1/2, 3/4] {4, 11} {6} {8, 9} [1/4, 3/8, 1/4, 1] {6, 11} {4} {8, 9} [1/4, 3/8, 1/4, 7/8] {4, 6, 11} {} {8, 9} [1/4, 1/2, 1/4, 3/4] {4, 5, 7} {6, 8, 11} {9, 12} [1/2, 1/4, 1/4, 3/4] {4, 5, 6} {8, 11} {9, 12} [1/8, 1/2, 1/4, 3/4] {4, 11} {6, 8} {9, 12} [1/4, 1/8, 3/8, 5/8] {4, 6, 11} {8} {9, 12} [1, 1/2, 1/4, 1/4] {7, 8} {1, 6, 12} {5, 16} [3/4, 1/2, 1/4, 1/4] {1, 7, 8} {6, 12} {5, 16} [1, 1/4, 1/4, 1/2] {6, 8} {1, 12} {5, 16} [1/2, 5/8, 1/8, 1/4] {1, 6, 8} {12} {5, 16} [1, 1/2, 1/4, 1/8] {12} {1, 6} {5, 16} [5/8, 1/2, 1/4, 1/8] {1, 12} {6} {5, 16} [1, 3/8, 1/4, 1/4] {6, 12} {1} {5, 16} [3/4, 3/8, 1/4, 1/4] {1, 6, 12} {} {5, 16} [1/2, 1/2, 1/4, 1/4] {1, 7, 8} {5, 6, 12} {11, 16} [3/4, 1/4, 1/4, 1/2] {1, 6, 8} {5, 12} {11, 16} [1/2, 1/2, 1/4, 1/8] {1, 12} {5, 6} {11, 16} [5/8, 3/8, 1/4, 1/4] {1, 6, 12} {5} {11, 16} [1/4, 1/2, 1/4, 1/4] {5, 7, 8} {6, 11, 12} {9, 15, 16} [1/2, 1/4, 1/4, 1/2] {5, 6, 8} {11, 12} {9, 15, 16} [1/8, 1/2, 1/4, 1/4] {8, 11} {6, 12} {9, 15, 16} [1/4, 3/8, 1/4, 3/8] {6, 8, 11} {12} {9, 15, 16} [1/2, 0, 1/2, 1/4] {5, 12} {6, 11} {9, 15, 16} [3/8, 3/8, 1/4, 1/4] {5, 6, 12} {11} {9, 15, 16} [1/4, 1/4, 3/8, 1/4] {11, 12} {6} {9, 15, 16} [1/4, 3/8, 1/4, 1/4] {6, 11, 12} {} {9, 15, 16} [0, 1/4, 1/4, 1] {9} {4, 13} {8} [0, 1/4, 1/4, 7/8] {4, 9} {13} {8} [0, 0, 1/4, 1] {13} {4} {8} [0, 0, 1/4, 7/8] {4, 13} {} {8} [0, 1/4, 1/4, 3/4] {4, 9} {8, 13} {12} [0, 1/8, 1/8, 7/8] {4, 13} {8} {12} [1/2, 1/4, 0, 3/8] {9, 16} {10, 13} {15} [7/12, 5/24, 0, 1/3] {9, 10} {13} {15} [3/4, 0, 0, 1/2] {13, 16} {10} {15} [5/8, 1/8, 0, 3/8] {10, 13} {} {15} [5/12, 1/6, 1/8, 7/24] {9, 16} {10, 13, 15} {18} [1/2, 1/8, 1/8, 1/4] {9, 10} {13, 15} {18} [11/24, 1/12, 1/8, 1/3] {13, 16} {10, 15} {18} [13/24, 1/24, 1/8, 7/24] {10, 13} {15} {18} [1/8, 5/16, 1/8, 9/16] {8, 9} {12, 13} {15, 16} [1/4, 1/8, 1/4, 1/2] {9, 12} {13} {15, 16} [1/8, 1/4, 1/8, 5/8] {8, 13} {12} {15, 16} [1/4, 1/16, 1/4, 9/16] {12, 13} {} {15, 16} [1/8, 3/16, 1/4, 7/16] {9, 12} {13, 15} {16} [1/8, 1/8, 1/4, 1/2] {12, 13} {15} {16} [1/4, 1/4, 1/8, 1/2] {9, 12} {13, 16} {10, 15} [1/4, 3/16, 1/8, 9/16] {12, 13} {16} {10, 15} [1/8, 5/16, 1/8, 7/16] {9, 12} {13, 15, 16} {10, 18} [1/4, 0, 1/4, 1/2] {12, 13} {15, 16} {10, 18} [1/8, 1/4, 3/16, 1/8] {10, 18} {13, 14} {20} [1/8, 3/8, 0, 1/4] {10, 13, 18} {14} {20} [1/4, 0, 1/2, 1/4] {11, 12} {6, 15} {9, 16} [1/4, 1/8, 3/8, 1/4] {6, 11, 12} {15} {9, 16} [1/8, 3/8, 1/4, 1/4] {6, 11, 12} {9, 15} {13, 16} [1, 1/4, 1/4, 1/4] {6, 12} {1, 16} {5, 10} [1/2, 5/8, 1/8, 1/8] {1, 6, 12} {16} {5, 10} [3/4, 1/4, 1/4, 1/4] {1, 6, 12} {5, 16} {10, 11} [1/4, 1/2, 1/8, 1/4] {6, 11, 12} {9, 16} {10, 13, 15} [1/2, 1/4, 1/4, 1/4] {5, 6, 12} {11, 16} {9, 10, 15} [3/8, 1/4, 1/4, 1/4] {6, 11, 12} {16} {9, 10, 15} [1/4, 3/8, 1/4, 1/8] {6, 11, 12} {15, 16} {9, 10} [1/4, 1/4, 1/4, 1/4] {6, 11, 12} {9, 15, 16} {10, 13, 18} [1/8, 1/8, 5/16, 1/8] {9, 15, 16} {10, 13, 18} {14, 20} [1/4, 1/8, 1/4, 1/8] {9, 10, 15} {13, 18} {14, 20} [1/4, 1/8, 3/16, 1/4] {13, 15, 16} {10, 18} {14, 20} [3/8, 1/8, 1/8, 1/4] {10, 13, 15} {18} {14, 20} [1/8, 7/16, 0, 9/32] {18} {10, 13} {14, 20} [1/4, 3/8, 0, 1/4] {10, 18} {13} {14, 20} [1/8, 3/8, 0, 5/16] {13, 18} {10} {14, 20} [1/4, 1/4, 1/16, 1/4] {10, 13, 18} {} {14, 20} [0, 1/8, 1/8, 1/8] {24} {19} {21} [0, 1/4, 0, 3/16] {19} {} {21} [1/8, 1/6, 1/8, 7/24] {13, 18} {10, 20} {14, 22} [1/4, 1/8, 1/8, 1/4] {10, 13, 18} {20} {14, 22} [1/8, 1/8, 1/4, 1/8] {10, 13, 18} {14, 20} {17, 22} [1/4, 1/4, 0, 0] {19} {21} {23} [1/8, 1/12, 1/8, 1/3] {20} {10, 22} {14} [1/4, 0, 5/32, 9/32] {10, 20} {22} {14} [1/4, 0, 0, 1/2] {22} {10} {14} [1/4, 0, 0, 7/16] {10, 22} {} {14} [1/8, 1/8, 1/8, 1/4] {10, 20} {14, 22} {17} [1/8, 1/8, 0, 3/8] {10, 22} {14} {17} [0, 1/8, 3/16, 3/16] {14, 20} {17, 22} {24} [0, 0, 9/32, 5/32] {17} {22} {24} [0, 1/8, 1/8, 1/4] {14, 22} {17} {24} [0, 0, 1/8, 11/32] {17, 22} {} {24} [1/4, 1/6, 0, 0] {21} {23} {} [0, 0, 0, 0] {23} {} {} [0, 3/16, 1/8, 1/8] {17, 22} {24} {19} [15, 59, 70, 24, 1] 2 3 4 15 + 59 q + 99 q + 82 q + 29 q # representatives from the maximal psd cells # Format: fund.wt.coords co-dim J <1 =1 >1 [0, 0, 0, 0] 0 {} {23} {} {} [0, 0, 1/8, 11/32] 0 {} {17, 22} {} {24} [1/4, 0, 0, 7/16] 0 {} {10, 22} {} {14} [0, 1/4, 0, 3/16] 0 {} {19} {} {21} [1/4, 1/4, 1/16, 1/4] 0 {} {10, 13, 18} {} {14, 20} [1/4, 1/16, 1/4, 9/16] 0 {} {12, 13} {} {15, 16} [5/8, 1/8, 0, 3/8] 0 {} {10, 13} {} {15} [0, 0, 1/4, 7/8] 0 {} {4, 13} {} {8} [1/4, 3/8, 1/4, 1/4] 0 {} {6, 11, 12} {} {9, 15, 16} [3/4, 3/8, 1/4, 1/4] 0 {} {1, 6, 12} {} {5, 16} [1/4, 3/8, 1/4, 7/8] 0 {} {4, 6, 11} {} {8, 9} [3/8, 7/16, 1/8, 1/8] 0 {} {10, 11} {} {9, 15} [1/2, 3/4, 0, 0] 0 {} {1, 10} {} {5} [3/4, 3/8, 1/4, 7/8] 0 {} {1, 4, 6} {} {5, 8} [1/2, 3/4, 1/2, 3/4] 0 {} {1, 2, 3, 4} {} {5, 7, 8}