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          "name": "(1) printed: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 41 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 42 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 43 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 43 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 44 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 44 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 45 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 45 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 46 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 46 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 47 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 48 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 49 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 50 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 50 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(1) printed: cover 51 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 51 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 52 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 53 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 53 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 54 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 54 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 55 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 55 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 56 has no gap",
          "passed": true
        },
        {
          "name": "(1) printed: cover 56 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 57 has no gap",
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        {
          "name": "(1) printed: cover 57 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 58 has no gap",
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        {
          "name": "(1) printed: cover 58 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 59 has no gap",
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        {
          "name": "(1) printed: cover 59 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 60 has no gap",
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        {
          "name": "(1) printed: cover 60 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 61 has no gap",
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        {
          "name": "(1) printed: cover 61 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 62 has no gap",
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        {
          "name": "(1) printed: cover 62 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 63 has no gap",
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        {
          "name": "(1) printed: cover 63 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 64 has no gap",
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        {
          "name": "(1) printed: cover 64 energy exceeds reference",
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        {
          "name": "(1) printed: cover 65 has no gap",
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        {
          "name": "(1) printed: cover 65 energy exceeds reference",
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        {
          "name": "(1) printed: cover 66 has no gap",
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        {
          "name": "(1) printed: cover 66 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 67 has no gap",
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        {
          "name": "(1) printed: cover 67 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 68 has no gap",
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        },
        {
          "name": "(1) printed: cover 68 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 69 has no gap",
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        },
        {
          "name": "(1) printed: cover 69 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 70 has no gap",
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        },
        {
          "name": "(1) printed: cover 70 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 71 has no gap",
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        },
        {
          "name": "(1) printed: cover 71 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 72 has no gap",
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        {
          "name": "(1) printed: cover 72 energy exceeds reference",
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        },
        {
          "name": "(1) printed: cover 73 has no gap",
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        },
        {
          "name": "(1) printed: cover 73 energy exceeds reference",
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        },
        {
          "name": "(1) printed: whole domain covered",
          "passed": true
        },
        {
          "name": "(1) candidate: derivative signs isolate a stationary point",
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        {
          "name": "(1) candidate: strictly convex basin contains the root bracket",
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        {
          "name": "(1) candidate: positive conditional mass enclosures",
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        {
          "name": "(1) candidate: cover 0 has no gap",
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        {
          "name": "(1) candidate: cover 0 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 1 has no gap",
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        {
          "name": "(1) candidate: cover 1 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 2 has no gap",
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        {
          "name": "(1) candidate: cover 2 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 3 has no gap",
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        {
          "name": "(1) candidate: cover 3 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 4 has no gap",
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        },
        {
          "name": "(1) candidate: cover 4 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 5 has no gap",
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        {
          "name": "(1) candidate: cover 5 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 6 has no gap",
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        {
          "name": "(1) candidate: cover 6 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 7 has no gap",
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        {
          "name": "(1) candidate: cover 7 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 8 has no gap",
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        {
          "name": "(1) candidate: cover 8 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 9 has no gap",
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        {
          "name": "(1) candidate: cover 9 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 10 has no gap",
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        {
          "name": "(1) candidate: cover 10 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 11 has no gap",
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        {
          "name": "(1) candidate: cover 11 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 12 has no gap",
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        {
          "name": "(1) candidate: cover 12 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 13 has no gap",
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        {
          "name": "(1) candidate: cover 13 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 14 has no gap",
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        {
          "name": "(1) candidate: cover 14 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 15 has no gap",
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        {
          "name": "(1) candidate: cover 15 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 16 has no gap",
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        {
          "name": "(1) candidate: cover 16 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 17 has no gap",
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        {
          "name": "(1) candidate: cover 17 energy exceeds reference",
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        {
          "name": "(1) candidate: cover 18 has no gap",
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        },
        {
          "name": "(1) candidate: cover 18 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 19 has no gap",
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        {
          "name": "(1) candidate: cover 19 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 20 has no gap",
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        },
        {
          "name": "(1) candidate: cover 20 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 21 has no gap",
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        {
          "name": "(1) candidate: cover 21 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 22 has no gap",
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        },
        {
          "name": "(1) candidate: cover 22 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 23 has no gap",
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        },
        {
          "name": "(1) candidate: cover 23 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 24 has no gap",
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        },
        {
          "name": "(1) candidate: cover 24 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 25 has no gap",
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        },
        {
          "name": "(1) candidate: cover 25 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 26 has no gap",
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        },
        {
          "name": "(1) candidate: cover 26 within convex basin",
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        },
        {
          "name": "(1) candidate: cover 27 has no gap",
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        },
        {
          "name": "(1) candidate: cover 27 within convex basin",
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        },
        {
          "name": "(1) candidate: cover 28 has no gap",
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        },
        {
          "name": "(1) candidate: cover 28 within convex basin",
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        },
        {
          "name": "(1) candidate: cover 29 has no gap",
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        },
        {
          "name": "(1) candidate: cover 29 within convex basin",
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        },
        {
          "name": "(1) candidate: cover 30 has no gap",
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        },
        {
          "name": "(1) candidate: cover 30 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 31 has no gap",
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        },
        {
          "name": "(1) candidate: cover 31 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 32 has no gap",
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        },
        {
          "name": "(1) candidate: cover 32 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 33 has no gap",
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        },
        {
          "name": "(1) candidate: cover 33 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 34 has no gap",
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        },
        {
          "name": "(1) candidate: cover 34 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 35 has no gap",
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        },
        {
          "name": "(1) candidate: cover 35 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 36 has no gap",
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        },
        {
          "name": "(1) candidate: cover 36 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 37 has no gap",
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        },
        {
          "name": "(1) candidate: cover 37 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 38 has no gap",
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        },
        {
          "name": "(1) candidate: cover 38 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 39 has no gap",
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        },
        {
          "name": "(1) candidate: cover 39 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 40 has no gap",
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        },
        {
          "name": "(1) candidate: cover 40 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 41 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 42 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 43 has no gap",
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        },
        {
          "name": "(1) candidate: cover 43 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 44 has no gap",
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        },
        {
          "name": "(1) candidate: cover 44 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 45 has no gap",
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        },
        {
          "name": "(1) candidate: cover 45 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 46 has no gap",
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        },
        {
          "name": "(1) candidate: cover 46 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 47 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 48 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 49 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 50 has no gap",
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        },
        {
          "name": "(1) candidate: cover 50 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 51 has no gap",
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        },
        {
          "name": "(1) candidate: cover 51 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 52 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 53 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 53 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 54 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 54 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 55 has no gap",
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        },
        {
          "name": "(1) candidate: cover 55 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 56 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 56 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 57 has no gap",
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        },
        {
          "name": "(1) candidate: cover 57 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 58 has no gap",
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        },
        {
          "name": "(1) candidate: cover 58 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 59 has no gap",
          "passed": true
        },
        {
          "name": "(1) candidate: cover 59 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 60 has no gap",
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        },
        {
          "name": "(1) candidate: cover 60 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 61 has no gap",
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        },
        {
          "name": "(1) candidate: cover 61 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: cover 62 has no gap",
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        },
        {
          "name": "(1) candidate: cover 62 energy exceeds reference",
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        },
        {
          "name": "(1) candidate: whole domain covered",
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        },
        {
          "name": "(2) printed: derivative signs isolate a stationary point",
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        },
        {
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        },
        {
          "name": "(2) printed: positive conditional mass enclosures",
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        },
        {
          "name": "(2) printed: cover 0 has no gap",
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        },
        {
          "name": "(2) printed: cover 0 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 1 has no gap",
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        },
        {
          "name": "(2) printed: cover 1 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 2 has no gap",
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        },
        {
          "name": "(2) printed: cover 2 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 3 has no gap",
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        },
        {
          "name": "(2) printed: cover 3 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 4 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 4 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 5 has no gap",
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        },
        {
          "name": "(2) printed: cover 5 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 6 has no gap",
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        },
        {
          "name": "(2) printed: cover 6 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 7 has no gap",
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        },
        {
          "name": "(2) printed: cover 7 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 8 has no gap",
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        },
        {
          "name": "(2) printed: cover 8 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 9 has no gap",
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        },
        {
          "name": "(2) printed: cover 9 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 10 has no gap",
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        },
        {
          "name": "(2) printed: cover 10 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 11 has no gap",
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        },
        {
          "name": "(2) printed: cover 11 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 12 has no gap",
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        },
        {
          "name": "(2) printed: cover 12 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 13 has no gap",
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        },
        {
          "name": "(2) printed: cover 13 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 14 has no gap",
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        },
        {
          "name": "(2) printed: cover 14 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 15 has no gap",
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        },
        {
          "name": "(2) printed: cover 15 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 16 has no gap",
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        },
        {
          "name": "(2) printed: cover 16 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 17 has no gap",
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        },
        {
          "name": "(2) printed: cover 17 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 18 has no gap",
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        },
        {
          "name": "(2) printed: cover 18 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 19 has no gap",
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        },
        {
          "name": "(2) printed: cover 19 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 20 has no gap",
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        },
        {
          "name": "(2) printed: cover 20 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 21 has no gap",
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        },
        {
          "name": "(2) printed: cover 21 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 22 has no gap",
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        },
        {
          "name": "(2) printed: cover 22 energy exceeds reference",
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        },
        {
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        },
        {
          "name": "(2) printed: cover 23 energy exceeds reference",
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        },
        {
          "name": "(2) printed: cover 24 has no gap",
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        },
        {
          "name": "(2) printed: cover 24 within convex basin",
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        },
        {
          "name": "(2) printed: cover 25 has no gap",
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        },
        {
          "name": "(2) printed: cover 25 within convex basin",
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        },
        {
          "name": "(2) printed: cover 26 has no gap",
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        },
        {
          "name": "(2) printed: cover 26 within convex basin",
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        },
        {
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        },
        {
          "name": "(2) printed: cover 27 within convex basin",
          "passed": true
        },
        {
          "name": "(2) printed: cover 28 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 28 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 29 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 29 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 30 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 30 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 31 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 31 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 32 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 32 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 33 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 33 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 34 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 34 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 35 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 35 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 36 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 36 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 37 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 37 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 38 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 38 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 39 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 39 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 40 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 40 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 41 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 42 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 43 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 43 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 44 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 44 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 45 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 45 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 46 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 46 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 47 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 48 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 49 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 50 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 50 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 51 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 51 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 52 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 53 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 53 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 54 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 54 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 55 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 55 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 56 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 56 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 57 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 57 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: cover 58 has no gap",
          "passed": true
        },
        {
          "name": "(2) printed: cover 58 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) printed: whole domain covered",
          "passed": true
        },
        {
          "name": "(2) candidate: derivative signs isolate a stationary point",
          "passed": true
        },
        {
          "name": "(2) candidate: strictly convex basin contains the root bracket",
          "passed": true
        },
        {
          "name": "(2) candidate: positive conditional mass enclosures",
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        },
        {
          "name": "(2) candidate: cover 0 has no gap",
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        },
        {
          "name": "(2) candidate: cover 0 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 1 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 1 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 2 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 2 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 3 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 3 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 4 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 4 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 5 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 5 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 6 has no gap",
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        },
        {
          "name": "(2) candidate: cover 6 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 7 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 7 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 8 has no gap",
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        },
        {
          "name": "(2) candidate: cover 8 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 9 has no gap",
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        },
        {
          "name": "(2) candidate: cover 9 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 10 has no gap",
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        },
        {
          "name": "(2) candidate: cover 10 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 11 has no gap",
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        },
        {
          "name": "(2) candidate: cover 11 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 12 has no gap",
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        },
        {
          "name": "(2) candidate: cover 12 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 13 has no gap",
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        },
        {
          "name": "(2) candidate: cover 13 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 14 has no gap",
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        },
        {
          "name": "(2) candidate: cover 14 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 15 has no gap",
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        },
        {
          "name": "(2) candidate: cover 15 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 16 has no gap",
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        },
        {
          "name": "(2) candidate: cover 16 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 17 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 17 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 18 has no gap",
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        },
        {
          "name": "(2) candidate: cover 18 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 19 has no gap",
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        },
        {
          "name": "(2) candidate: cover 19 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 20 has no gap",
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        },
        {
          "name": "(2) candidate: cover 20 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 21 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 21 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 22 has no gap",
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        },
        {
          "name": "(2) candidate: cover 22 within convex basin",
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        },
        {
          "name": "(2) candidate: cover 23 has no gap",
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        },
        {
          "name": "(2) candidate: cover 23 within convex basin",
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        },
        {
          "name": "(2) candidate: cover 24 has no gap",
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        },
        {
          "name": "(2) candidate: cover 24 within convex basin",
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        },
        {
          "name": "(2) candidate: cover 25 has no gap",
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        },
        {
          "name": "(2) candidate: cover 25 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 26 has no gap",
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        },
        {
          "name": "(2) candidate: cover 26 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 27 has no gap",
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        },
        {
          "name": "(2) candidate: cover 27 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 28 has no gap",
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        },
        {
          "name": "(2) candidate: cover 28 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 29 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 29 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 30 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 30 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 31 has no gap",
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        },
        {
          "name": "(2) candidate: cover 31 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 32 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 32 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 33 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 33 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 34 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 34 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 35 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 35 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 36 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 36 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: cover 37 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 37 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 38 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 38 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 39 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 39 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 40 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 40 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 41 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 42 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 43 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 43 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 44 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 44 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 45 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 45 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 46 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 46 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 47 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 48 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 49 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 50 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 50 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 51 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 51 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(2) candidate: cover 52 energy exceeds reference",
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        },
        {
          "name": "(2) candidate: whole domain covered",
          "passed": true
        },
        {
          "name": "(3) printed: derivative signs isolate a stationary point",
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        },
        {
          "name": "(3) printed: strictly convex basin contains the root bracket",
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        },
        {
          "name": "(3) printed: positive conditional mass enclosures",
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        },
        {
          "name": "(3) printed: cover 0 has no gap",
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        },
        {
          "name": "(3) printed: cover 0 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 1 has no gap",
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        },
        {
          "name": "(3) printed: cover 1 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 2 has no gap",
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        },
        {
          "name": "(3) printed: cover 2 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 3 has no gap",
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        },
        {
          "name": "(3) printed: cover 3 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 4 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 4 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 5 has no gap",
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        },
        {
          "name": "(3) printed: cover 5 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 6 has no gap",
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        },
        {
          "name": "(3) printed: cover 6 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 7 has no gap",
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        },
        {
          "name": "(3) printed: cover 7 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 8 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 8 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 9 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 9 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 10 has no gap",
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        },
        {
          "name": "(3) printed: cover 10 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 11 has no gap",
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        },
        {
          "name": "(3) printed: cover 11 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 12 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 12 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 13 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 13 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 14 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 14 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 15 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 15 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 16 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 16 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 17 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 17 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 18 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 18 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 19 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 19 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 20 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 20 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 21 has no gap",
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        },
        {
          "name": "(3) printed: cover 21 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 22 has no gap",
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        },
        {
          "name": "(3) printed: cover 22 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 23 has no gap",
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        },
        {
          "name": "(3) printed: cover 23 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 24 has no gap",
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        },
        {
          "name": "(3) printed: cover 24 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 25 has no gap",
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        },
        {
          "name": "(3) printed: cover 25 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 26 has no gap",
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        },
        {
          "name": "(3) printed: cover 26 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 27 has no gap",
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        },
        {
          "name": "(3) printed: cover 27 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 28 has no gap",
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        },
        {
          "name": "(3) printed: cover 28 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 29 has no gap",
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        },
        {
          "name": "(3) printed: cover 29 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 30 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 30 within convex basin",
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        },
        {
          "name": "(3) printed: cover 31 has no gap",
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        },
        {
          "name": "(3) printed: cover 31 within convex basin",
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        },
        {
          "name": "(3) printed: cover 32 has no gap",
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        },
        {
          "name": "(3) printed: cover 32 within convex basin",
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        },
        {
          "name": "(3) printed: cover 33 has no gap",
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        },
        {
          "name": "(3) printed: cover 33 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 34 has no gap",
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        },
        {
          "name": "(3) printed: cover 34 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 35 has no gap",
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        },
        {
          "name": "(3) printed: cover 35 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 36 has no gap",
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        },
        {
          "name": "(3) printed: cover 36 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 37 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 37 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 38 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 38 energy exceeds reference",
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        },
        {
          "name": "(3) printed: cover 39 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 39 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 40 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 40 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 41 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 42 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 43 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 43 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 44 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 44 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 45 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 45 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 46 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 46 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 47 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 48 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 49 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 50 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 50 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 51 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 51 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 52 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 53 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 53 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 54 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 54 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 55 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 55 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 56 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 56 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 57 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 57 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 58 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 58 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 59 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 59 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 60 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 60 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 61 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 61 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 62 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 62 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 63 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 63 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 64 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 64 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 65 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 65 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 66 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 66 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 67 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 67 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 68 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 68 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 69 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 69 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 70 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 70 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: cover 71 has no gap",
          "passed": true
        },
        {
          "name": "(3) printed: cover 71 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) printed: whole domain covered",
          "passed": true
        },
        {
          "name": "(3) candidate: derivative signs isolate a stationary point",
          "passed": true
        },
        {
          "name": "(3) candidate: strictly convex basin contains the root bracket",
          "passed": true
        },
        {
          "name": "(3) candidate: positive conditional mass enclosures",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 0 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 0 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 1 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 1 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 2 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 2 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 3 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 3 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 4 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 4 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 5 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 5 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 6 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 6 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 7 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 7 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 8 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 8 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 9 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 9 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 10 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 10 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 11 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 11 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 12 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 12 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 13 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 13 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 14 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 14 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 15 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 15 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 16 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 16 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 17 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 17 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 18 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 18 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 19 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 19 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 20 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 20 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 21 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 21 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 22 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 22 within convex basin",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 23 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 23 within convex basin",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 24 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 24 within convex basin",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 25 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 25 within convex basin",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 26 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 26 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 27 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 27 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 28 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 28 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 29 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 29 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 30 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 30 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 31 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 31 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 32 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 32 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 33 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 33 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 34 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 34 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 35 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 35 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 36 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 36 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 37 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 37 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 38 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 38 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 39 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 39 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 40 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 40 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 41 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 42 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 43 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 43 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 44 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 44 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 45 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 45 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 46 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 46 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 47 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 48 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 49 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 50 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 50 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 51 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 51 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 52 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 53 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 53 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 54 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 54 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 55 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 55 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 56 has no gap",
          "passed": true
        },
        {
          "name": "(3) candidate: cover 56 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(3) candidate: whole domain covered",
          "passed": true
        },
        {
          "name": "(4) printed: derivative signs isolate a stationary point",
          "passed": true
        },
        {
          "name": "(4) printed: strictly convex basin contains the root bracket",
          "passed": true
        },
        {
          "name": "(4) printed: positive conditional mass enclosures",
          "passed": true
        },
        {
          "name": "(4) printed: cover 0 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 0 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 1 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 1 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 2 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 2 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 3 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 3 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 4 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 4 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 5 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 5 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 6 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 6 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 7 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 7 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 8 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 8 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 9 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 9 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 10 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 10 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 11 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 11 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 12 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 12 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 13 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 13 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 14 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 14 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 15 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 15 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 16 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 16 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 17 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 17 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 18 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 18 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 19 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 19 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 20 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 20 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 21 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 21 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 22 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 22 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 23 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 23 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 24 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 24 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 25 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 25 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 26 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 26 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 27 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 27 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 28 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 28 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 29 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 29 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 30 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 30 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 31 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 31 within convex basin",
          "passed": true
        },
        {
          "name": "(4) printed: cover 32 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 32 within convex basin",
          "passed": true
        },
        {
          "name": "(4) printed: cover 33 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 33 within convex basin",
          "passed": true
        },
        {
          "name": "(4) printed: cover 34 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 34 within convex basin",
          "passed": true
        },
        {
          "name": "(4) printed: cover 35 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 35 within convex basin",
          "passed": true
        },
        {
          "name": "(4) printed: cover 36 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 36 within convex basin",
          "passed": true
        },
        {
          "name": "(4) printed: cover 37 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 37 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 38 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 38 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 39 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 39 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 40 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 40 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 41 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 42 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 43 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 43 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 44 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 44 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 45 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 45 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 46 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 46 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 47 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 48 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 49 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 50 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 50 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 51 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 51 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 52 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 53 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 53 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 54 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 54 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 55 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 55 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 56 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 56 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 57 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 57 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 58 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 58 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 59 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 59 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 60 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 60 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 61 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 61 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 62 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 62 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 63 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 63 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 64 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 64 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 65 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 65 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 66 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 66 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 67 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 67 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 68 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 68 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 69 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 69 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 70 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 70 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 71 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 71 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 72 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 72 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 73 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 73 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 74 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 74 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) printed: cover 75 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 75 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 76 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 76 energy exceeds reference",
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        },
        {
          "name": "(4) printed: cover 77 has no gap",
          "passed": true
        },
        {
          "name": "(4) printed: cover 77 energy exceeds reference",
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        },
        {
          "name": "(4) printed: whole domain covered",
          "passed": true
        },
        {
          "name": "(4) candidate: derivative signs isolate a stationary point",
          "passed": true
        },
        {
          "name": "(4) candidate: strictly convex basin contains the root bracket",
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        },
        {
          "name": "(4) candidate: positive conditional mass enclosures",
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        },
        {
          "name": "(4) candidate: cover 0 has no gap",
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        },
        {
          "name": "(4) candidate: cover 0 energy exceeds reference",
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        },
        {
          "name": "(4) candidate: cover 1 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 1 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 2 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 2 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 3 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 3 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 4 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 4 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 5 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 5 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 6 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 6 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 7 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 7 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 8 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 8 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 9 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 9 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 10 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 10 energy exceeds reference",
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        },
        {
          "name": "(4) candidate: cover 11 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 11 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 12 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 12 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 13 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 13 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 14 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 14 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 15 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 15 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 16 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 16 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 17 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 17 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 18 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 18 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 19 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 19 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 20 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 20 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 21 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 21 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 22 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 22 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 23 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 23 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 24 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 24 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 25 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 25 within convex basin",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 26 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 26 within convex basin",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 27 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 27 within convex basin",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 28 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 28 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 29 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 29 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 30 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 30 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 31 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 31 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 32 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 32 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 33 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 33 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 34 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 34 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 35 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 35 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 36 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 36 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 37 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 37 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 38 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 38 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 39 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 39 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 40 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 40 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 41 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 41 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 42 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 42 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 43 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 43 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 44 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 44 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 45 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 45 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 46 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 46 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 47 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 47 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 48 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 48 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 49 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 49 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 50 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 50 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 51 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 51 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 52 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 52 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 53 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 53 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 54 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 54 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 55 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 55 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 56 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 56 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 57 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 57 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 58 has no gap",
          "passed": true
        },
        {
          "name": "(4) candidate: cover 58 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(4) candidate: whole domain covered",
          "passed": true
        },
        {
          "name": "(5) printed: derivative signs isolate a stationary point",
          "passed": true
        },
        {
          "name": "(5) printed: strictly convex basin contains the root bracket",
          "passed": true
        },
        {
          "name": "(5) printed: positive conditional mass enclosures",
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        },
        {
          "name": "(5) printed: cover 0 has no gap",
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        },
        {
          "name": "(5) printed: cover 0 energy exceeds reference",
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        },
        {
          "name": "(5) printed: cover 1 has no gap",
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        },
        {
          "name": "(5) printed: cover 1 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 2 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 2 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 3 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 3 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 4 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 4 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 5 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 5 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 6 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 6 energy exceeds reference",
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        },
        {
          "name": "(5) printed: cover 7 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 7 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 8 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 8 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 9 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 9 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 10 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 10 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 11 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 11 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 12 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 12 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 13 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 13 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 14 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 14 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 15 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 15 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 16 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 16 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 17 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 17 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 18 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 18 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 19 has no gap",
          "passed": true
        },
        {
          "name": "(5) printed: cover 19 energy exceeds reference",
          "passed": true
        },
        {
          "name": "(5) printed: cover 20 has no gap",
          "passed": true
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        {
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    "policy": "A theorem has explicit hypotheses and a proof. Formal verification and originality are separate statuses. No theorem here is advertised as new to the literature.",
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        "status": "formal-algebra",
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        "status": "computer-assisted-theorem",
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        "status": "computer-assisted-theorem",
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        "proof": "Exhaustive continuum cover, strict convexity at the root, positive exterior energy gaps; independently checked with Arb.",
        "status": "computer-assisted-theorem",
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        "proof": "Exact exponential bound and a uniform derivative-error enclosure.",
        "status": "computer-assisted-theorem",
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        "proof": "Exact symbolic differentiation in Sage.",
        "status": "symbolic-identity",
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        "status": "conditional-symbolic-identity",
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        "proof": "Lean: exact generator moments followed by universal integer congruence proofs.",
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        "statement": "The ten certified roots give enclosed Higgs masses and compactification scales at fixed mW=80.4 GeV and g4=0.63.",
        "proof": "Arb propagation of root and curvature intervals through the stated positive mass formulas.",
        "status": "conditional-computer-assisted-result",
        "novelty": "certified evaluation of known mass formulas"
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        "required": "An individual continuum certificate; ten benchmarks do not certify arbitrary scans."
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        "required": "Algebraic identities may be formalized; numerical diagonalization, experimental inputs and phenomenological viability require their own checks."
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        "area": "Real analysis in Lean",
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    "sources": [
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        "url": "https://arxiv.org/pdf/2503.04090v1",
        "role": "Input model and printed benchmark table; PDF equation numbering used."
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      {
        "url": "https://arxiv.org/abs/hep-ph/0401185",
        "role": "Earlier general one-loop GHU potential; no renewed missing-absolute-value allegation."
      },
      {
        "url": "https://arxiv.org/abs/hep-ph/0411250",
        "role": "Earlier Higgs-potential expansion work; relevant prior art."
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  }
}