1. | 2. | 3. | ||

r = √3/6 = .288+ Trivial. | r = √3/4 = .433+ Found by Erich Friedman in 1997. | r = (38√3 - 9) / 109 = .521+ Found by Maurizio Morandi in June 2009. |

4. | 5. | 6. | ||

r = (9√3 - 2√22) / 10 = .620+ Found by Trevor Green in July 1999. | r = (79√3 - 3√79) / 152 = .724+ Found by Maurizio Morandi in June 2009. | r = √3/2 = .866+ Trivial. |

7. | 8. | 9. | ||

r = .892+ Found by Maurizio Morandi in July 2009. | r = (453√3 - 3√347) / 752 = .969+ Found by Maurizio Morandi in June 2009. | r = (81√3 - 6√30) / 106 = 1.013+ Found by David Cantrell in July 2005. |

10. | 11. | 12. | ||

r = (31√3 - √103) / 40 = 1.088+ Found by David Cantrell in July 2005. | r = (177√3 - 2√586) / 226 = 1.142+ Found by David Cantrell in July 2005. | r = (7√3 - √7) / 8 = 1.184+ Found by David Cantrell in July 2005. |

13. | 14. | 15. | ||

r = (40√3 - √165) / 45 = 1.254+ Found by Maurizio Morandi in August 2009. | r = 1.290+ Found by Maurizio Morandi in August 2009. | r = 1.343+ Found by Maurizio Morandi in August 2009. |

16. | 17. | 18. | ||

r = 1.392+ Found by Maurizio Morandi in August 2009. | r = 1.434+ Found by Maurizio Morandi in August 2009. | r = 1.475+ Found by Maurizio Morandi in August 2009. |