7₅

mathematical knot with crossing number 7
Intangible prime_knot Q30929603
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7₅

Summary

7₅ is a prime knot[1].

Key Facts

  • 7₅'s image is recorded as Blue 7 5 Knot.png[2].
  • 7₅'s instance of is recorded as prime knot[3].
  • 7₅'s instance of is recorded as alternating knot[4].
  • 7₅'s instance of is recorded as hyperbolic link[5].
  • 7₅'s Commons category is recorded as 7 5 knots[6].
  • 7₅'s Google Knowledge Graph ID is recorded as /g/11g6hswj0s[7].
  • 7₅'s Alexander polynomial is recorded as 2t^2+2t^{-2}-4t-4t^{-1}+5[8].
  • 7₅'s Conway polynomial is recorded as 2z^4+4z^2+1[9].
  • 7₅'s Jones polynomial is recorded as -q^{-9}+2q^{-8}-3q^{-7}+3q^{-6}-3q^{-5}+3q^{-4}-q^{-3}+q^{-2}[10].
  • 7₅'s maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • 7₅'s Alexander–Briggs notation is recorded as 7_5[12].
  • 7₅'s Dowker-Thistlethwaite notation is recorded as 4, 10, 12, 14, 2, 8, 6[13].
  • 7₅'s Dowker-Thistlethwaite name is recorded as 7a_{3}[14].
  • 7₅'s Knot Atlas ID is recorded as 7_5[15].
  • 7₅'s Knotinfo ID is recorded as 7_5[16].
  • 7₅'s Gauss notation is recorded as {-1, 2, -3, 1, -4, 5, -6, 7, -2, 3, -7, 4, -5, 6}[17].
  • 7₅'s crossing number is recorded as {'unit': '1', 'amount': '+7'}[18].

References

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

Direct Wikidata claims

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

Class ancestry

  1. [1] . Wikidata. wikidata.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). 7₅. Retrieved May 3, 2026, from https://4ort.xyz/entity/7--q30929603
MLA “7₅.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/7--q30929603.
BibTeX @misc{4ortxyz_7--q30929603_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{7₅}}, year = {2026}, url = {https://4ort.xyz/entity/7--q30929603}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): 7₅ — https://4ort.xyz/entity/7--q30929603 (retrieved 2026-05-03)

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