Equation477 => Equation1519 dual to Equation3150 => Equation2128 (explicit_conjecture_false) Equation477 => Equation2128 dual to Equation3150 => Equation1519 (explicit_conjecture_false) Equation477 => Equation3150 dual to Equation3150 => Equation477 (explicit_conjecture_false) Equation481 => Equation1488 dual to Equation3161 => Equation2041 (explicit_conjecture_false) Equation481 => Equation2124 dual to Equation3161 => Equation1429 (explicit_conjecture_false) Equation481 => Equation2132 dual to Equation3161 => Equation1523 (explicit_conjecture_false) Equation481 => Equation3139 dual to Equation3161 => Equation414 (explicit_conjecture_false) Equation481 => Equation3161 dual to Equation3161 => Equation481 (explicit_conjecture_false) Equation504 => Equation1925 dual to Equation3143 => Equation1722 (explicit_conjecture_false) Equation680 => Equation2947 dual to Equation2947 => Equation680 (explicit_conjecture_false) Equation1086 => Equation2710 dual to Equation2541 => Equation917 (explicit_conjecture_false) Equation1443 => Equation3055 dual to Equation2093 => Equation416 (explicit_conjecture_false) Equation1486 => Equation2089 dual to Equation2126 => Equation1480 (explicit_conjecture_false) Equation1486 => Equation2126 dual to Equation2126 => Equation1486 (explicit_conjecture_false) Equation1519 => Equation2128 dual to Equation2128 => Equation1519 (explicit_conjecture_false) Equation1523 => Equation2124 dual to Equation2132 => Equation1429 (explicit_conjecture_false) Equation1523 => Equation2132 dual to Equation2132 => Equation1523 (explicit_conjecture_false) Equation2712 => Equation205 dual to Equation854 => Equation104 (implicit_proof_false) Equation2712 => Equation1647 dual to Equation854 => Equation1850 (explicit_proof_false) Equation2712 => Equation2240 dual to Equation854 => Equation1238 (explicit_proof_false) Equation2712 => Equation2459 dual to Equation854 => Equation1038 (explicit_proof_false) Equation2712 => Equation2462 dual to Equation854 => Equation1041 (implicit_proof_false) Equation2712 => Equation3068 dual to Equation854 => Equation429 (explicit_proof_false) Equation3545 => Equation3862 dual to Equation3964 => Equation3456 (explicit_proof_false) Equation3555 => Equation3862 dual to Equation3961 => Equation3456 (explicit_proof_false) Equation3588 => Equation3994 dual to Equation3994 => Equation3588 (explicit_conjecture_false)