7₄

mathematical knot with crossing number 7
Intangible prime_knot Q17097722
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7₄

Summary

7₄ is a prime knot[1]. 7₄ draws 52 Wikipedia views per month (prime_knot category, ranking #3 of 10).[2]

Key Facts

  • 7₄'s image is recorded as Blue 7 4 Knot.png[3].
  • 7₄'s instance of is recorded as prime knot[4].
  • 7₄'s instance of is recorded as alternating knot[5].
  • 7₄'s instance of is recorded as Lissajous knot[6].
  • 7₄'s Commons category is recorded as 7 4 knots[7].
  • 7₄'s Freebase ID is recorded as /m/0vpjt4t[8].
  • 7₄'s Alexander polynomial is recorded as 4 t+4 t^{-1} -7[9].
  • 7₄'s Conway polynomial is recorded as 4 z^2+1[10].
  • 7₄'s Jones polynomial is recorded as -q^8+q^7-2 q^6+3 q^5-2 q^4+3 q^3-2 q^2+q[11].
  • 7₄'s maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • 7₄'s Alexander–Briggs notation is recorded as 7_4[13].
  • 7₄'s Dowker-Thistlethwaite notation is recorded as 6, 10, 12, 14, 4, 2, 8[14].
  • 7₄'s Dowker-Thistlethwaite name is recorded as 7a_{6}[15].
  • 7₄'s Knot Atlas ID is recorded as 7_4[16].
  • 7₄'s Knotinfo ID is recorded as 7_4[17].
  • 7₄'s Gauss notation is recorded as {-1, 2, -3, 4, -5, 6, -7, 3, -2, 1, -4, 7, -6, 5}[18].
  • 7₄'s crossing number is recorded as {'amount': '+7'}[19].

Why It Matters

7₄ draws 52 Wikipedia views per month (prime_knot category, ranking #3 of 10).[2]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . KnotInfo. Retrieved . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). 7₄. Retrieved May 3, 2026, from https://4ort.xyz/entity/7
MLA “7₄.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/7.
BibTeX @misc{4ortxyz_7_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{7₄}}, year = {2026}, url = {https://4ort.xyz/entity/7}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): 7₄ — https://4ort.xyz/entity/7 (retrieved 2026-05-03)

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