{
  "id": "dots",
  "version": "5935faed3d6f",
  "status": "published",
  "name": "DOTS Calculator",
  "question": "What is my DOTS score?",
  "summary": "Computes the DOTS powerlifting score from your total, bodyweight and sex, with Tim Konertz’s coefficients, so lifters of different bodyweights can be compared.",
  "category": "sports",
  "subcategory": "lifting",
  "url": "https://www.acalculator.org/sports/dots-calculator",
  "markdown": "https://www.acalculator.org/sports/dots-calculator.md",
  "kind": "function",
  "method": "DOTS = total (kg) × 500 ÷ (A w⁴ + B w³ + C w² + D w + E), w the bodyweight in kg held to 40–210 (men) or 40–150 (women).",
  "assumptions": [
    "Men: A = −0.0000010930, B = 0.0007391293, C = −0.1918759221, D = 24.0900756, E = −307.75076.",
    "Women: A = −0.0000010706, B = 0.0005158568, C = −0.1126655495, D = 13.6175032, E = −57.96288.",
    "Pounds are converted with 1 lb = 0.45359237 kg exactly."
  ],
  "inputs": {
    "$schema": "https://json-schema.org/draft/2020-12/schema",
    "type": "object",
    "properties": {
      "sex": {
        "title": "Sex",
        "description": "DOTS has one set of coefficients for men and one for women.",
        "type": "string",
        "enum": [
          "male",
          "female"
        ]
      },
      "bw": {
        "title": "Bodyweight",
        "description": "Your bodyweight at weigh-in.",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 500
      },
      "total": {
        "title": "Total lifted",
        "description": "Your total: best squat + best bench press + best deadlift (or one lift, for a single-lift score).",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 2000
      }
    }
  },
  "outputs": {
    "dots": {
      "label": "DOTS score",
      "description": "Total in kilograms × the DOTS coefficient.",
      "format": "number"
    },
    "coefficient": {
      "label": "DOTS coefficient",
      "description": "500 ÷ the bodyweight polynomial; the score is the total in kilograms times this.",
      "format": "number"
    },
    "used": {
      "label": "Bodyweight used",
      "description": "Your bodyweight, held to 40–210 kg (men) or 40–150 kg (women) as the formula requires.",
      "format": "quantity",
      "unit": "kg"
    },
    "totalKg": {
      "label": "Total in kilograms",
      "description": "The total converted to kilograms (1 lb = 0.45359237 kg).",
      "format": "quantity",
      "unit": "kg"
    }
  },
  "defaultAnswer": {
    "inputs": {
      "sex": "male",
      "bw": "198 lb",
      "total": "1300 lb"
    },
    "outputs": {
      "dots": 381.68492151933975,
      "coefficient": 0.6472855480000854,
      "used": 89.81128926000001,
      "totalKg": 589.670081
    },
    "text": "Your DOTS score is 381.68."
  },
  "examples": [
    {
      "given": {
        "sex": "male",
        "bw": 74,
        "total": 100
      },
      "expect": {
        "dots": 72.36519530138496,
        "coefficient": 0.7236519530138495
      },
      "source": "Wikipedia (German), DOTS-Relativwertung (example: 100 kg at 74 kg bodyweight gives 72.365 points; 115 kg at 93 kg gives 73.169; 125 kg at 120 kg gives 71.788), https://de.wikipedia.org/wiki/DOTS-Relativwertung (retrieved 2026-10-02); Tim Konertz, DOTS – Kraftsport Colonia (the author’s page: DOTS coefficient = 500 ÷ (−0.0000010930 Bw⁴ + 0.0007391293 Bw³ − 0.1918759221 Bw² + 24.0900756 Bw − 307.75076) for men, 500 ÷ (−0.0000010706 Bw⁴ + 0.0005158568 Bw³ − 0.1126655495 Bw² + 13.6175032 Bw − 57.96288) for women; valid 40–210 kg (men) and 40–150 kg (women), outside it the coefficient at the limit), https://kraftsport-colonia.de/dots (retrieved 2026-10-02); Python 3"
    },
    {
      "given": {
        "sex": "male",
        "bw": 120,
        "total": 125
      },
      "expect": {
        "dots": 71.78825238351456
      },
      "source": "Wikipedia (German), DOTS-Relativwertung (example: 100 kg at 74 kg bodyweight gives 72.365 points; 115 kg at 93 kg gives 73.169; 125 kg at 120 kg gives 71.788), https://de.wikipedia.org/wiki/DOTS-Relativwertung (retrieved 2026-10-02); Tim Konertz, DOTS – Kraftsport Colonia (the author’s page: DOTS coefficient = 500 ÷ (−0.0000010930 Bw⁴ + 0.0007391293 Bw³ − 0.1918759221 Bw² + 24.0900756 Bw − 307.75076) for men, 500 ÷ (−0.0000010706 Bw⁴ + 0.0005158568 Bw³ − 0.1126655495 Bw² + 13.6175032 Bw − 57.96288) for women; valid 40–210 kg (men) and 40–150 kg (women), outside it the coefficient at the limit), https://kraftsport-colonia.de/dots (retrieved 2026-10-02)"
    },
    {
      "given": {
        "sex": "female",
        "bw": 60,
        "total": 400
      },
      "expect": {
        "dots": 443.41824986592036,
        "coefficient": 1.1085456246648009
      },
      "source": "hand calculation in content.mdx: the women’s polynomial at 60 kg is 451.04; Tim Konertz, DOTS – Kraftsport Colonia (the author’s page: DOTS coefficient = 500 ÷ (−0.0000010930 Bw⁴ + 0.0007391293 Bw³ − 0.1918759221 Bw² + 24.0900756 Bw − 307.75076) for men, 500 ÷ (−0.0000010706 Bw⁴ + 0.0005158568 Bw³ − 0.1126655495 Bw² + 13.6175032 Bw − 57.96288) for women; valid 40–210 kg (men) and 40–150 kg (women), outside it the coefficient at the limit), https://kraftsport-colonia.de/dots (retrieved 2026-10-02); Python 3"
    },
    {
      "given": {
        "sex": "female",
        "bw": 35,
        "total": 300
      },
      "expect": {
        "dots": 445.43897042447975,
        "used": 40
      },
      "source": "Tim Konertz, DOTS – Kraftsport Colonia (the author’s page: DOTS coefficient = 500 ÷ (−0.0000010930 Bw⁴ + 0.0007391293 Bw³ − 0.1918759221 Bw² + 24.0900756 Bw − 307.75076) for men, 500 ÷ (−0.0000010706 Bw⁴ + 0.0005158568 Bw³ − 0.1126655495 Bw² + 13.6175032 Bw − 57.96288) for women; valid 40–210 kg (men) and 40–150 kg (women), outside it the coefficient at the limit), https://kraftsport-colonia.de/dots (retrieved 2026-10-02); Python 3"
    },
    {
      "given": {
        "sex": "male",
        "bw": 89.81128926000001,
        "total": 589.670081
      },
      "expect": {
        "dots": 381.68492151933975
      },
      "source": "Tim Konertz, DOTS – Kraftsport Colonia (the author’s page: DOTS coefficient = 500 ÷ (−0.0000010930 Bw⁴ + 0.0007391293 Bw³ − 0.1918759221 Bw² + 24.0900756 Bw − 307.75076) for men, 500 ÷ (−0.0000010706 Bw⁴ + 0.0005158568 Bw³ − 0.1126655495 Bw² + 13.6175032 Bw − 57.96288) for women; valid 40–210 kg (men) and 40–150 kg (women), outside it the coefficient at the limit), https://kraftsport-colonia.de/dots (retrieved 2026-10-02); Python 3 with 1 lb = 0.45359237 kg"
    }
  ],
  "sources": [
    "Tim Konertz, DOTS (the formula’s author’s page at Kraftsport Colonia: the men’s and women’s DOTS coefficients, the 40–210 kg and 40–150 kg ranges, and the limit coefficients outside them). https://kraftsport-colonia.de/dots (retrieved 2026-10-02)",
    "Wikipedia (German), DOTS-Relativwertung (the formula, its history with the BVDK from 2020, and a worked example with three lifters). https://de.wikipedia.org/wiki/DOTS-Relativwertung (retrieved 2026-10-02)"
  ],
  "related": [
    "one-rep-max",
    "rpe"
  ],
  "changelog": []
}