TFPT scientific source excerpt Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/independent-seam-graph-results.json Original file SHA-256: e7cb292768c5432840f188c865c81924350fbbc2eb14defacb100be3d82ece6f Inclusive original lines: 1-190 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000001 | { 000002 | "branch_mark_counts_on_dividing_forms": { 000003 | "new_S_and_hS": [ 000004 | 4, 000005 | 4 000006 | ], 000007 | "old_two": [ 000008 | 0, 000009 | 0 000010 | ] 000011 | }, 000012 | "checks": { 000013 | "S_and_hS_each_fix_all_four_branch_marks": true, 000014 | "S_is_conjugation_plus_i_over_2": true, 000015 | "algebraic_r_preserves_curve_and_squares_to_h": true, 000016 | "full_holomorphic_group_order_16": true, 000017 | "full_holomorphic_is_central_deck_extension_of_base_D4": true, 000018 | "full_real_census_computed": true, 000019 | "full_total_group_order_32_with_16_anti": true, 000020 | "graph_vertices_are_h_branch_points": true, 000021 | "hS_is_minus_conjugation_plus_1_over_2": true, 000022 | "new_coset_census_computed": true, 000023 | "new_dividing_forms_are_exactly_S_and_hS": true, 000024 | "old_dividing_OS_forms_fix_no_branch_marks": true, 000025 | "old_holomorphic_group_is_C4_times_C2_not_D4": true, 000026 | "old_holomorphic_group_order_8": true, 000027 | "old_real_census_computed": true, 000028 | "old_total_group_order_16_with_8_anti": true, 000029 | "r_affine_square_is_h": true, 000030 | "seam_graph_F4_on_torus": true, 000031 | "seam_graph_V4_E8": true, 000032 | "seam_graph_b1_5_from_incidence_rank": true, 000033 | "seam_graph_is_connected": true 000034 | }, 000035 | "group_sizes": { 000036 | "full_holomorphic": 16, 000037 | "full_total": 32, 000038 | "old_holomorphic": 8, 000039 | "old_total": 16 000040 | }, 000041 | "new_real_maps": [ 000042 | { 000043 | "linear": [ 000044 | [ 000045 | -1, 000046 | 0 000047 | ], 000048 | [ 000049 | 0, 000050 | 1 000051 | ] 000052 | ], 000053 | "order": 2, 000054 | "shift": [ 000055 | "0", 000056 | "1/2" 000057 | ], 000058 | "type": "empty" 000059 | }, 000060 | { 000061 | "linear": [ 000062 | [ 000063 | -1, 000064 | 0 000065 | ], 000066 | [ 000067 | 0, 000068 | 1 000069 | ] 000070 | ], 000071 | "order": 2, 000072 | "shift": [ 000073 | "1/2", 000074 | "0" 000075 | ], 000076 | "type": "dividing" 000077 | }, 000078 | { 000079 | "linear": [ 000080 | [ 000081 | 0, 000082 | -1 000083 | ], 000084 | [ 000085 | -1, 000086 | 0 000087 | ] 000088 | ], 000089 | "order": 4, 000090 | "shift": [ 000091 | "0", 000092 | "1/2" 000093 | ], 000094 | "type": "anti_order_4" 000095 | }, 000096 | { 000097 | "linear": [ 000098 | [ 000099 | 0, 000100 | -1 000101 | ], 000102 | [ 000103 | -1, 000104 | 0 000105 | ] 000106 | ], 000107 | "order": 4, 000108 | "shift": [ 000109 | "1/2", 000110 | "0" 000111 | ], 000112 | "type": "anti_order_4" 000113 | }, 000114 | { 000115 | "linear": [ 000116 | [ 000117 | 0, 000118 | 1 000119 | ], 000120 | [ 000121 | 1, 000122 | 0 000123 | ] 000124 | ], 000125 | "order": 4, 000126 | "shift": [ 000127 | "0", 000128 | "1/2" 000129 | ], 000130 | "type": "anti_order_4" 000131 | }, 000132 | { 000133 | "linear": [ 000134 | [ 000135 | 0, 000136 | 1 000137 | ], 000138 | [ 000139 | 1, 000140 | 0 000141 | ] 000142 | ], 000143 | "order": 4, 000144 | "shift": [ 000145 | "1/2", 000146 | "0" 000147 | ], 000148 | "type": "anti_order_4" 000149 | }, 000150 | { 000151 | "linear": [ 000152 | [ 000153 | 1, 000154 | 0 000155 | ], 000156 | [ 000157 | 0, 000158 | -1 000159 | ] 000160 | ], 000161 | "order": 2, 000162 | "shift": [ 000163 | "0", 000164 | "1/2" 000165 | ], 000166 | "type": "dividing" 000167 | }, 000168 | { 000169 | "linear": [ 000170 | [ 000171 | 1, 000172 | 0 000173 | ], 000174 | [ 000175 | 0, 000176 | -1 000177 | ] 000178 | ], 000179 | "order": 2, 000180 | "shift": [ 000181 | "1/2", 000182 | "0" 000183 | ], 000184 | "type": "empty" 000185 | } 000186 | ], 000187 | "old_real_maps": [ 000188 | { 000189 | "linear": [ 000190 | [