For each orbit of faces of codimension k we give a canonical representative face f_i. The face fk_i is defined by a set of k inequalities of rank k satisfied with equality. A triangular inequality Tr of met_n is represented by a {-1,0,1}-valued vector V of length n with 3 nonzero entries with: Tr_ij = V_i x V_j. The left hand side of Tr is 2 if V is a {0,1}-valued vector and 0 otherwise. +++++ remark ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ the set of all inequalities satisfied with equality by f_i might be larger than k but we show only k facets. This way the codimension is directly readable and the presentation is homogeneous) +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ -------------- canonical representatives -------------------------- f5_1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 f5_2 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 f5_3 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 f5_4 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 f5_5 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 f5_6 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 f5_7 1 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 -1 f5_8 1 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 1 0 -1 0 0 -1 1 1 f5_9 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 f5_10 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 f5_11 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 f5_12 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 0 f5_13 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 -1 1 0 1 1 0 0 0 1 1 f5_14 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 -1 0 0 1 1 -1 0 0 0 1 1 f5_15 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 1 f5_16 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 -1 0 0 1 1 f5_17 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 f5_18 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 f5_19 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 1 f5_20 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 f5_21 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 f5_22 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 1 f5_23 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 f5_24 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 1 f5_25 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 -1 1 0 1 1 1 0 1 0 0 f5_26 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 -1 1 0 1 1 1 0 0 1 0 f5_27 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 -1 1 0 1 1 0 1 0 1 0 f5_28 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 f5_29 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 f5_30 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 f5_31 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 -1 0 0 0 1 1 f5_32 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 f5_33 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 f5_34 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 f5_35 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 f5_36 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 -1 0 0 1 1 f5_37 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 f5_38 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 0 0 0 1 1 0 1 f5_39 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 f5_40 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 -1 0 0 0 1 1 f5_41 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 -1 1 0 1 1 0 1 0 0 -1 f5_42 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 -1 0 0 1 1 0 1 0 1 0 -1 f5_43 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 -1 0 0 1 1 1 1 0 0 0 -1 f5_44 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 -1 0 0 1 1 0 0 0 1 1 1 f5_45 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 -1 f5_46 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 f5_47 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 -1 0 1 1 f5_48 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 f5_49 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 -1 0 1 1 0 1 1 0 0 -1 f5_50 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 f5_51 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 f5_52 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 -1 0 1 1 f5_53 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 f5_54 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 -1 0 1 0 0 1 0 1 f5_55 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 -1 0 -1 0 0 0 1 1 f5_56 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 f5_57 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 -1 0 0 0 1 1 0 1 f5_58 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 1 f5_59 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 0 1 0 1 0 0 1 f5_60 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 0 0 0 -1 0 1 1 f5_61 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 0 0 0 -1 1 0 1 f5_62 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 -1 0 0 1 1 f5_63 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 f5_64 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 -1 f5_65 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 -1 f5_66 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 f5_67 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 -1 0 0 1 1 f5_68 1 1 1 0 0 0 1 0 0 1 1 0 0 -1 0 0 1 1 0 0 1 -1 0 1 0 -1 0 1 1 0 f5_69 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 -1 0 1 1 1 0 1 0 0 -1 f5_70 1 1 1 0 0 0 1 1 0 1 0 0 0 0 -1 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 f5_71 1 1 1 0 0 0 1 1 0 1 0 0 0 0 -1 1 1 0 1 0 0 0 1 1 0 0 1 -1 0 1 f5_72 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 f5_73 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 f5_74 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 f5_75 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 -1 0 0 0 1 0 1 1 f5_76 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 f5_77 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 -1 0 0 1 1 f5_78 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 0 1 0 0 0 1 1 f5_79 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 0 1 0 0 1 0 1 f5_80 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 -1 0 1 1 0 0 0 1 f5_81 1 1 1 0 0 0 1 1 0 1 0 0 0 0 -1 1 1 0 0 0 -1 0 1 1 1 1 0 0 0 1 f5_82 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 -1 0 1 1 0 0 0 1 f5_83 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 f5_84 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 f5_85 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 f5_86 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 1 f5_87 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 f5_88 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 1 0 1 0 1 0 0 0 0 1 1 f5_89 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 -1 0 0 1 1 f5_90 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 f5_91 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 1 0 1 0 0 0 -1 0 1 0 1 f5_92 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 1 1 f5_93 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 1 1 f5_94 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 f5_95 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 f5_96 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 f5_97 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 -1 0 1 1 f5_98 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 f5_99 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 1 0 1 0 -1 0 0 0 0 1 1 f5_100 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 1 0 1 0 1 0 0 0 1 0 1 f5_101 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 1 0 1 0 1 1 0 0 0 0 1 f5_102 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 -1 0 0 1 1 0 -1 0 0 0 1 0 1 f5_103 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 -1 0 0 1 1 0 0 0 1 0 0 1 1 f5_104 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 f5_105 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 f5_106 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 f5_107 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 f5_108 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 -1 f5_109 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 0 0 1 1 1 0 0 1 0 0 -1 f5_110 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 0 0 1 1 0 1 1 1 0 0 0 f5_111 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 0 0 1 1 0 -1 0 1 0 0 1 f5_112 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 f5_113 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 f5_114 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 f5_115 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 1 0 1 0 1 0 1 0 0 0 1 f5_116 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 f5_117 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 -1 0 0 1 1 0 1 0 0 1 0 0 1 f5_118 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 -1 0 0 0 1 0 1 f5_119 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 -1 0 0 1 1 0 0 0 -1 0 0 1 1 f5_120 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 -1 0 0 1 1 0 0 0 1 1 0 0 1 f5_121 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 f5_122 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 -1 1 1 f5_123 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 1 f5_124 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 -1 0 0 1 1 f5_125 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 1 f5_126 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 f5_127 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 1 f5_128 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 0 -1 0 1 1 0 0 -1 0 0 0 1 1 f5_129 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 -1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 1 f5_130 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 -1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 f5_131 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 -1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 1 f5_132 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 0 1 f5_133 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 -1 0 0 1 1 0 0 -1 1 0 0 1 f5_134 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 -1 0 1 f5_135 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 -1 1 1 f5_136 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 f5_137 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 f5_138 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 f5_139 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 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