User:Contribution/Successive superparticular complementary pair: Difference between revisions
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| Line 19: | Line 19: | ||
| [[2ed3/1]] || 249.02 || [[2ed2/1]] || 101.96 || [[2ed5/3]] || 55.87 || [[2ed3/2]] || 35.34 || [[2ed7/5]] || 24.39 || [[2ed4/3]] || 17.85 || [[2ed9/7]] || 13.63 || [[2ed5/4]] || 10.75 || [[2ed11/9]] || 8.70 || [[2ed6/5]] || 7.18 | | [[2ed3/1]] || 249.02 || [[2ed2/1]] || 101.96 || [[2ed5/3]] || 55.87 || [[2ed3/2]] || 35.34 || [[2ed7/5]] || 24.39 || [[2ed4/3]] || 17.85 || [[2ed9/7]] || 13.63 || [[2ed5/4]] || 10.75 || [[2ed11/9]] || 8.70 || [[2ed6/5]] || 7.18 | ||
|- | |- | ||
| [[3ed3/1]] || '''67.97''' ||[[3ed2/1]] || 98.04 || [[3ed5/3]] || 91.53 || [[3ed3/2]] || 81.66 || [[3ed7/5]] || 72.70 || [[3ed4/3]] || 65.16 || [[3ed9/7]] || 58.88 || [[3ed5/4]] || 53.63 || [[3ed11/9]] || 49.20 || [[3ed6/5]] || 45.42 | | '''[[3ed3/1]]''' ||'''67.97''' ||[[3ed2/1]] || 98.04 || [[3ed5/3]] || 91.53 || [[3ed3/2]] || 81.66 || [[3ed7/5]] || 72.70 || [[3ed4/3]] || 65.16 || [[3ed9/7]] || 58.88 || [[3ed5/4]] || 53.63 || [[3ed11/9]] || 49.20 || [[3ed6/5]] || 45.42 | ||
|- | |- | ||
| [[4ed3/1]] || 226.47 || [[4ed2/1]] || 101.96 || [[4ed5/3]] || 55.87 || [[4ed3/2]] || 35.34 || [[4ed7/5]] || 24.39 || [[4ed4/3]] || 17.85 || [[4ed9/7]] || 13.63 || [[4ed5/4]] || 10.75 || [[4ed11/9]] || 8.70 || [[4ed6/5]] || 7.18 | | [[4ed3/1]] || 226.47 || [[4ed2/1]] || 101.96 || [[4ed5/3]] || 55.87 || [[4ed3/2]] || 35.34 || [[4ed7/5]] || 24.39 || [[4ed4/3]] || 17.85 || [[4ed9/7]] || 13.63 || [[4ed5/4]] || 10.75 || [[4ed11/9]] || 8.70 || [[4ed6/5]] || 7.18 | ||
|- | |- | ||
| [[5ed3/1]] || '''58.83''' ||[[5ed2/1]] || '''18.04''' ||[[5ed5/3]] || 32.57 || [[5ed3/2]] || 34.86 || [[5ed7/5]] || 33.87 || [[5ed4/3]] || 31.96 || [[5ed9/7]] || 29.88 || [[5ed5/4]] || 27.88 || [[5ed11/9]] || 26.04 || [[5ed6/5]] || 24.38 | | '''[[5ed3/1]]''' ||'''58.83''' ||'''[[5ed2/1]]''' ||'''18.04''' ||[[5ed5/3]] || 32.57 || [[5ed3/2]] || 34.86 || [[5ed7/5]] || 33.87 || [[5ed4/3]] || 31.96 || [[5ed9/7]] || 29.88 || [[5ed5/4]] || 27.88 || [[5ed11/9]] || 26.04 || [[5ed6/5]] || 24.38 | ||
|- | |- | ||
| [[6ed3/1]] || 67.97 || [[6ed2/1]] || 98.04 || [[6ed5/3]] || 55.87 || [[6ed3/2]] || 35.34 || [[6ed7/5]] || 24.39 || [[6ed4/3]] || 17.85 || [[6ed9/7]] || 13.63 || [[6ed5/4]] || 10.75 || [[6ed11/9]] || 8.70 || [[6ed6/5]] || 7.18 | | [[6ed3/1]] || 67.97 || [[6ed2/1]] || 98.04 || [[6ed5/3]] || 55.87 || [[6ed3/2]] || 35.34 || [[6ed7/5]] || 24.39 || [[6ed4/3]] || 17.85 || [[6ed9/7]] || 13.63 || [[6ed5/4]] || 10.75 || [[6ed11/9]] || 8.70 || [[6ed6/5]] || 7.18 | ||
|- | |- | ||
| [[7ed3/1]] || 113.17 || [[7ed2/1]] || '''16.24''' ||[[7ed5/3]] || '''7.30''' ||[[7ed3/2]] || 14.80 || [[7ed7/5]] || 17.22 || [[7ed4/3]] || 17.73 || [[7ed9/7]] || 17.45 || [[7ed5/4]] || 16.84 || [[7ed11/9]] || 16.12 || [[7ed6/5]] || 15.36 | | [[7ed3/1]] || 113.17 || '''[[7ed2/1]]''' ||'''16.24''' ||'''[[7ed5/3]]''' ||'''7.30''' ||[[7ed3/2]] || 14.80 || [[7ed7/5]] || 17.22 || [[7ed4/3]] || 17.73 || [[7ed9/7]] || 17.45 || [[7ed5/4]] || 16.84 || [[7ed11/9]] || 16.12 || [[7ed6/5]] || 15.36 | ||
|- | |- | ||
| [[8ed3/1]] || '''11.28''' ||[[8ed2/1]] || 48.04 || [[8ed5/3]] || 54.68 || [[8ed3/2]] || 35.34 || [[8ed7/5]] || 24.39 || [[8ed4/3]] || 17.85 || [[8ed9/7]] || 13.63 || [[8ed5/4]] || 10.75 || [[8ed11/9]] || 8.70 || [[8ed6/5]] || 7.18 | | '''[[8ed3/1]]''' ||'''11.28''' ||[[8ed2/1]] || 48.04 || [[8ed5/3]] || 54.68 || [[8ed3/2]] || 35.34 || [[8ed7/5]] || 24.39 || [[8ed4/3]] || 17.85 || [[8ed9/7]] || 13.63 || [[8ed5/4]] || 10.75 || [[8ed11/9]] || 8.70 || [[8ed6/5]] || 7.18 | ||
|- | |- | ||
| [[9ed3/1]] || 67.97 || [[9ed2/1]] || 35.29 || [[9ed5/3]] || '''6.73''' ||[[9ed3/2]] || '''3.66''' ||[[9ed7/5]] || 7.98 || [[9ed4/3]] || 9.82 || [[9ed9/7]] || 10.54 || [[9ed5/4]] || 10.71 || [[9ed11/9]] || 10.60 || [[9ed6/5]] || 10.35 | | [[9ed3/1]] || 67.97 || [[9ed2/1]] || 35.29 || '''[[9ed5/3]]''' ||'''6.73''' ||'''[[9ed3/2]]''' ||'''3.66''' ||[[9ed7/5]] || 7.98 || [[9ed4/3]] || 9.82 || [[9ed9/7]] || 10.54 || [[9ed5/4]] || 10.71 || [[9ed11/9]] || 10.60 || [[9ed6/5]] || 10.35 | ||
|- | |- | ||
| [[10ed3/1]] || 58.83 || [[10ed2/1]] || 18.04 || [[10ed5/3]] || 32.57 || [[10ed3/2]] || 34.86 || [[10ed7/5]] || 24.39 || [[10ed4/3]] || 17.85 || [[10ed9/7]] || 13.63 || [[10ed5/4]] || 10.75 || [[10ed11/9]] || 8.70 || [[10ed6/5]] || 7.18 | | [[10ed3/1]] || 58.83 || [[10ed2/1]] || 18.04 || [[10ed5/3]] || 32.57 || [[10ed3/2]] || 34.86 || [[10ed7/5]] || 24.39 || [[10ed4/3]] || 17.85 || [[10ed9/7]] || 13.63 || [[10ed5/4]] || 10.75 || [[10ed11/9]] || 8.70 || [[10ed6/5]] || 7.18 | ||
|- | |- | ||
| [[11ed3/1]] || 10.34 || [[11ed2/1]] || 47.41 || [[11ed5/3]] || 15.67 || [[11ed3/2]] || '''3.43''' ||[[11ed7/5]] || '''2.09''' ||[[11ed4/3]] || 4.79 || [[11ed9/7]] || 6.14 || [[11ed5/4]] || 6.81 || [[11ed11/9]] || 7.09 || [[11ed6/5]] || 7.16 | | [[11ed3/1]] || 10.34 || [[11ed2/1]] || 47.41 || [[11ed5/3]] || 15.67 || '''[[11ed3/2]]''' ||'''3.43''' ||'''[[11ed7/5]]''' ||'''2.09''' ||[[11ed4/3]] || 4.79 || [[11ed9/7]] || 6.14 || [[11ed5/4]] || 6.81 || [[11ed11/9]] || 7.09 || [[11ed6/5]] || 7.16 | ||
|- | |- | ||
| [[12ed3/1]] || 67.97 || [[12ed2/1]] || '''1.96''' ||[[12ed5/3]] || 17.83 || [[12ed3/2]] || 23.16 || [[12ed7/5]] || 24.16 || [[12ed4/3]] || 17.85 || [[12ed9/7]] || 13.63 || [[12ed5/4]] || 10.75 || [[12ed11/9]] || 8.70 || [[12ed6/5]] || 7.18 | | [[12ed3/1]] || 67.97 || '''[[12ed2/1]]''' ||'''1.96''' ||[[12ed5/3]] || 17.83 || [[12ed3/2]] || 23.16 || [[12ed7/5]] || 24.16 || [[12ed4/3]] || 17.85 || [[12ed9/7]] || 13.63 || [[12ed5/4]] || 10.75 || [[12ed11/9]] || 8.70 || [[12ed6/5]] || 7.18 | ||
|- | |- | ||
| [[13ed3/1]] || 29.57 || [[13ed2/1]] || 36.51 || [[13ed5/3]] || 21.85 || [[13ed3/2]] || 8.34 || [[13ed7/5]] || '''1.98''' ||[[13ed4/3]] || '''1.31''' ||[[13ed9/7]] || 3.10 || [[13ed5/4]] || 4.11 || [[13ed11/9]] || 4.66 || [[13ed6/5]] || 4.96 | | [[13ed3/1]] || 29.57 || [[13ed2/1]] || 36.51 || [[13ed5/3]] || 21.85 || [[13ed3/2]] || 8.34 || '''[[13ed7/5]]''' ||'''1.98''' ||'''[[13ed4/3]]''' ||'''1.31''' ||[[13ed9/7]] || 3.10 || [[13ed5/4]] || 4.11 || [[13ed11/9]] || 4.66 || [[13ed6/5]] || 4.96 | ||
|- | |- | ||
| [[14ed3/1]] || 22.69 || [[14ed2/1]] || 16.24 || [[14ed5/3]] || 7.30 || [[14ed3/2]] || 14.80 || [[14ed7/5]] || 17.22 || [[14ed4/3]] || 17.73 || [[14ed9/7]] || 13.63 || [[14ed5/4]] || 10.75 || [[14ed11/9]] || 8.70 || [[14ed6/5]] || 7.18 | | [[14ed3/1]] || 22.69 || [[14ed2/1]] || 16.24 || [[14ed5/3]] || 7.30 || [[14ed3/2]] || 14.80 || [[14ed7/5]] || 17.22 || [[14ed4/3]] || 17.73 || [[14ed9/7]] || 13.63 || [[14ed5/4]] || 10.75 || [[14ed11/9]] || 8.70 || [[14ed6/5]] || 7.18 | ||
|- | |- | ||
| [[15ed3/1]] || 58.83 || [[15ed2/1]] || 18.04 || [[15ed5/3]] || 26.39 || [[15ed3/2]] || 11.94 || [[15ed7/5]] || 4.97 || [[15ed4/3]] || '''1.25''' ||[[15ed9/7]] || '''0.87''' ||[[15ed5/4]] || 2.12 || [[15ed11/9]] || 2.88 || [[15ed6/5]] || 3.34 | | [[15ed3/1]] || 58.83 || [[15ed2/1]] || 18.04 || [[15ed5/3]] || 26.39 || [[15ed3/2]] || 11.94 || [[15ed7/5]] || 4.97 || '''[[15ed4/3]]''' ||'''1.25''' ||'''[[15ed9/7]]''' ||'''0.87''' ||[[15ed5/4]] || 2.12 || [[15ed11/9]] || 2.88 || [[15ed6/5]] || 3.34 | ||
|- | |- | ||
| [[16ed3/1]] || 11.28 || [[16ed2/1]] || 26.96 || [[16ed5/3]] || '''0.59''' ||[[16ed3/2]] || 8.54 || [[16ed7/5]] || 12.02 || [[16ed4/3]] || 13.28 || [[16ed9/7]] || 13.56 || [[16ed5/4]] || 10.75 || [[16ed11/9]] || 8.70 || [[16ed6/5]] || 7.18 | | [[16ed3/1]] || 11.28 || [[16ed2/1]] || 26.96 || '''[[16ed5/3]]''' ||'''0.59''' ||[[16ed3/2]] || 8.54 || [[16ed7/5]] || 12.02 || [[16ed4/3]] || 13.28 || [[16ed9/7]] || 13.56 || [[16ed5/4]] || 10.75 || [[16ed11/9]] || 8.70 || [[16ed6/5]] || 7.18 | ||
|- | |- | ||
| [[17ed3/1]] || 30.68 || [[17ed2/1]] || 3.93 || [[17ed5/3]] || 22.17 || [[17ed3/2]] || 14.69 || [[17ed7/5]] || 7.25 || [[17ed4/3]] || 3.20 || [[17ed9/7]] || '''0.84''' ||[[17ed5/4]] || '''0.61''' ||[[17ed11/9]] || 1.52 || [[17ed6/5]] || 2.10 | | [[17ed3/1]] || 30.68 || [[17ed2/1]] || 3.93 || [[17ed5/3]] || 22.17 || [[17ed3/2]] || 14.69 || [[17ed7/5]] || 7.25 || [[17ed4/3]] || 3.20 || '''[[17ed9/7]]''' ||'''0.84''' ||'''[[17ed5/4]]''' ||'''0.61''' ||[[17ed11/9]] || 1.52 || [[17ed6/5]] || 2.10 | ||
|- | |- | ||
| [[18ed3/1]] || 37.69 || [[18ed2/1]] || 31.38 || [[18ed5/3]] || 6.73 || [[18ed3/2]] || 3.66 || [[18ed7/5]] || 7.98 || [[18ed4/3]] || 9.82 || [[18ed9/7]] || 10.54 || [[18ed5/4]] || 10.71 || [[18ed11/9]] || 8.70 || [[18ed6/5]] || 7.18 | | [[18ed3/1]] || 37.69 || [[18ed2/1]] || 31.38 || [[18ed5/3]] || 6.73 || [[18ed3/2]] || 3.66 || [[18ed7/5]] || 7.98 || [[18ed4/3]] || 9.82 || [[18ed9/7]] || 10.54 || [[18ed5/4]] || 10.71 || [[18ed11/9]] || 8.70 || [[18ed6/5]] || 7.18 | ||
|- | |- | ||
| [[19ed3/1]] || 1.23 || [[19ed2/1]] || 7.22 || [[19ed5/3]] || 13.95 || [[19ed3/2]] || 16.86 || [[19ed7/5]] || 9.06 || [[19ed4/3]] || 4.74 || [[19ed9/7]] || 2.18 || [[19ed5/4]] || '''0.59''' ||[[19ed11/9]] || '''0.44''' ||[[19ed6/5]] || 1.12 | | [[19ed3/1]] || 1.23 || [[19ed2/1]] || 7.22 || [[19ed5/3]] || 13.95 || [[19ed3/2]] || 16.86 || [[19ed7/5]] || 9.06 || [[19ed4/3]] || 4.74 || [[19ed9/7]] || 2.18 || '''[[19ed5/4]]''' ||'''0.59''' ||'''[[19ed11/9]]''' ||'''0.44''' ||[[19ed6/5]] || 1.12 | ||
|- | |- | ||
| [[20ed3/1]] || 36.27 || [[20ed2/1]] || 18.04 || [[20ed5/3]] || 11.65 || [[20ed3/2]] || '''0.24''' ||[[20ed7/5]] || 4.74 || [[20ed4/3]] || 7.05 || [[20ed9/7]] || 8.12 || [[20ed5/4]] || 8.56 || [[20ed11/9]] || 8.67 || [[20ed6/5]] || 7.18 | | [[20ed3/1]] || 36.27 || [[20ed2/1]] || 18.04 || [[20ed5/3]] || 11.65 || '''[[20ed3/2]]''' ||'''0.24''' ||[[20ed7/5]] || 4.74 || [[20ed4/3]] || 7.05 || [[20ed9/7]] || 8.12 || [[20ed5/4]] || 8.56 || [[20ed11/9]] || 8.67 || [[20ed6/5]] || 7.18 | ||
|- | |- | ||
| [[21ed3/1]] || 22.60 || [[21ed2/1]] || 16.24 || [[21ed5/3]] || 7.30 || [[21ed3/2]] || 14.80 || [[21ed7/5]] || 10.52 || [[21ed4/3]] || 5.99 || [[21ed9/7]] || 3.27 || [[21ed5/4]] || 1.56 || [[21ed11/9]] || '''0.43''' ||[[21ed6/5]] || '''0.33''' | | [[21ed3/1]] || 22.60 || [[21ed2/1]] || 16.24 || [[21ed5/3]] || 7.30 || [[21ed3/2]] || 14.80 || [[21ed7/5]] || 10.52 || [[21ed4/3]] || 5.99 || [[21ed9/7]] || 3.27 || [[21ed5/4]] || 1.56 || '''[[21ed11/9]]''' ||'''0.43''' ||'''[[21ed6/5]]''' ||'''0.33''' | ||
|- | |- | ||
| [[22ed3/1]] || 10.34 || [[22ed2/1]] || 7.14 || [[22ed5/3]] || 15.67 || [[22ed3/2]] || 3.43 || [[22ed7/5]] || 2.09 || [[22ed4/3]] || 4.79 || [[22ed9/7]] || 6.14 || [[22ed5/4]] || 6.81 || [[22ed11/9]] || 7.09 || [[22ed6/5]] || 7.16 | | [[22ed3/1]] || 10.34 || [[22ed2/1]] || 7.14 || [[22ed5/3]] || 15.67 || [[22ed3/2]] || 3.43 || [[22ed7/5]] || 2.09 || [[22ed4/3]] || 4.79 || [[22ed9/7]] || 6.14 || [[22ed5/4]] || 6.81 || [[22ed11/9]] || 7.09 || [[22ed6/5]] || 7.16 | ||
|- | |- | ||
| [[23ed3/1]] || 40.41 || [[23ed2/1]] || 23.69 || [[23ed5/3]] || 1.81 || [[23ed3/2]] || 10.44 || [[23ed7/5]] || 11.72 || [[23ed4/3]] || 7.02 || [[23ed9/7]] || 4.17 || [[23ed5/4]] || 2.36 || [[23ed11/9]] || 1.15 || [[23ed6/5]] || '''0.32''' | | [[23ed3/1]] || 40.41 || [[23ed2/1]] || 23.69 || [[23ed5/3]] || 1.81 || [[23ed3/2]] || 10.44 || [[23ed7/5]] || 11.72 || [[23ed4/3]] || 7.02 || [[23ed9/7]] || 4.17 || [[23ed5/4]] || 2.36 || [[23ed11/9]] || 1.15 || '''[[23ed6/5]]''' ||'''0.32''' | ||
|- | |- | ||
| [[24ed3/1]] || 11.28 || [[24ed2/1]] || 1.96 || [[24ed5/3]] || 17.83 || [[24ed3/2]] || 6.09 || [[24ed7/5]] || '''0.11''' ||[[24ed4/3]] || 2.90 || [[24ed9/7]] || 4.50 || [[24ed5/4]] || 5.34 || [[24ed11/9]] || 5.78 || [[24ed6/5]] || 5.97 | | [[24ed3/1]] || 11.28 || [[24ed2/1]] || 1.96 || [[24ed5/3]] || 17.83 || [[24ed3/2]] || 6.09 || '''[[24ed7/5]]''' ||'''0.11''' ||[[24ed4/3]] || 2.90 || [[24ed9/7]] || 4.50 || [[24ed5/4]] || 5.34 || [[24ed11/9]] || 5.78 || [[24ed6/5]] || 5.97 | ||
|- | |- | ||
| [[25ed3/1]] || 17.25 || [[25ed2/1]] || 18.04 || [[25ed5/3]] || 2.80 || [[25ed3/2]] || 6.78 || [[25ed7/5]] || 10.57 || [[25ed4/3]] || 7.89 || [[25ed9/7]] || 4.93 || [[25ed5/4]] || 3.03 || [[25ed11/9]] || 1.75 || [[25ed6/5]] || 0.87 | | [[25ed3/1]] || 17.25 || [[25ed2/1]] || 18.04 || [[25ed5/3]] || 2.80 || [[25ed3/2]] || 6.78 || [[25ed7/5]] || 10.57 || [[25ed4/3]] || 7.89 || [[25ed9/7]] || 4.93 || [[25ed5/4]] || 3.03 || [[25ed11/9]] || 1.75 || [[25ed6/5]] || 0.87 | ||
| Line 69: | Line 69: | ||
| [[27ed3/1]] || 2.47 || [[27ed2/1]] || 9.16 || [[27ed5/3]] || 6.73 || [[27ed3/2]] || 3.66 || [[27ed7/5]] || 7.98 || [[27ed4/3]] || 8.63 || [[27ed9/7]] || 5.57 || [[27ed5/4]] || 3.60 || [[27ed11/9]] || 2.27 || [[27ed6/5]] || 1.34 | | [[27ed3/1]] || 2.47 || [[27ed2/1]] || 9.16 || [[27ed5/3]] || 6.73 || [[27ed3/2]] || 3.66 || [[27ed7/5]] || 7.98 || [[27ed4/3]] || 8.63 || [[27ed9/7]] || 5.57 || [[27ed5/4]] || 3.60 || [[27ed11/9]] || 2.27 || [[27ed6/5]] || 1.34 | ||
|- | |- | ||
| [[28ed3/1]] || 22.69 || [[28ed2/1]] || 16.24 || [[28ed5/3]] || 7.30 || [[28ed3/2]] || 10.27 || [[28ed7/5]] || 3.58 || [[28ed4/3]] || '''0.06''' ||[[28ed9/7]] || 1.91 || [[28ed5/4]] || 3.04 || [[28ed11/9]] || 3.71 || [[28ed6/5]] || 4.09 | | [[28ed3/1]] || 22.69 || [[28ed2/1]] || 16.24 || [[28ed5/3]] || 7.30 || [[28ed3/2]] || 10.27 || [[28ed7/5]] || 3.58 || '''[[28ed4/3]]''' ||'''0.06''' ||[[28ed9/7]] || 1.91 || [[28ed5/4]] || 3.04 || [[28ed11/9]] || 3.71 || [[28ed6/5]] || 4.09 | ||
|- | |- | ||
| [[29ed3/1]] || 19.48 || [[29ed2/1]] || 1.49 || [[29ed5/3]] || 10.12 || [[29ed3/2]] || 0.97 || [[29ed7/5]] || 5.74 || [[29ed4/3]] || 7.91 || [[29ed9/7]] || 6.13 || [[29ed5/4]] || 4.09 || [[29ed11/9]] || 2.71 || [[29ed6/5]] || 1.74 | | [[29ed3/1]] || 19.48 || [[29ed2/1]] || 1.49 || [[29ed5/3]] || 10.12 || [[29ed3/2]] || 0.97 || [[29ed7/5]] || 5.74 || [[29ed4/3]] || 7.91 || [[29ed9/7]] || 6.13 || [[29ed5/4]] || 4.09 || [[29ed11/9]] || 2.71 || [[29ed6/5]] || 1.74 | ||
| Line 77: | Line 77: | ||
| [[31ed3/1]] || 27.07 || [[31ed2/1]] || 5.18 || [[31ed5/3]] || 13.07 || [[31ed3/2]] || 1.37 || [[31ed7/5]] || 3.80 || [[31ed4/3]] || 6.25 || [[31ed9/7]] || 6.61 || [[31ed5/4]] || 4.52 || [[31ed11/9]] || 3.10 || [[31ed6/5]] || 2.09 | | [[31ed3/1]] || 27.07 || [[31ed2/1]] || 5.18 || [[31ed5/3]] || 13.07 || [[31ed3/2]] || 1.37 || [[31ed7/5]] || 3.80 || [[31ed4/3]] || 6.25 || [[31ed9/7]] || 6.61 || [[31ed5/4]] || 4.52 || [[31ed11/9]] || 3.10 || [[31ed6/5]] || 2.09 | ||
|- | |- | ||
| [[32ed3/1]] || 11.28 || [[32ed2/1]] || 10.54 || [[32ed5/3]] || 0.59 || [[32ed3/2]] || 8.54 || [[32ed7/5]] || 6.18 || [[32ed4/3]] || 2.28 || [[32ed9/7]] || '''0.04''' ||[[32ed5/4]] || 1.32 || [[32ed11/9]] || 2.16 || [[32ed6/5]] || 2.68 | | [[32ed3/1]] || 11.28 || [[32ed2/1]] || 10.54 || [[32ed5/3]] || 0.59 || [[32ed3/2]] || 8.54 || [[32ed7/5]] || 6.18 || [[32ed4/3]] || 2.28 || '''[[32ed9/7]]''' ||'''0.04''' ||[[32ed5/4]] || 1.32 || [[32ed11/9]] || 2.16 || [[32ed6/5]] || 2.68 | ||
|- | |- | ||
| [[33ed3/1]] || 10.34 || [[33ed2/1]] || 11.05 || [[33ed5/3]] || 11.13 || [[33ed3/2]] || 3.43 || [[33ed7/5]] || 2.09 || [[33ed4/3]] || 4.79 || [[33ed9/7]] || 6.14 || [[33ed5/4]] || 4.90 || [[33ed11/9]] || 3.44 || [[33ed6/5]] || 2.40 | | [[33ed3/1]] || 10.34 || [[33ed2/1]] || 11.05 || [[33ed5/3]] || 11.13 || [[33ed3/2]] || 3.43 || [[33ed7/5]] || 2.09 || [[33ed4/3]] || 4.79 || [[33ed9/7]] || 6.14 || [[33ed5/4]] || 4.90 || [[33ed11/9]] || 3.44 || [[33ed6/5]] || 2.40 | ||
| Line 85: | Line 85: | ||
| [[35ed3/1]] || 4.49 || [[35ed2/1]] || 16.24 || [[35ed5/3]] || 7.30 || [[35ed3/2]] || 5.25 || [[35ed7/5]] || 0.58 || [[35ed4/3]] || 3.50 || [[35ed9/7]] || 5.01 || [[35ed5/4]] || 5.23 || [[35ed11/9]] || 3.74 || [[35ed6/5]] || 2.67 | | [[35ed3/1]] || 4.49 || [[35ed2/1]] || 16.24 || [[35ed5/3]] || 7.30 || [[35ed3/2]] || 5.25 || [[35ed7/5]] || 0.58 || [[35ed4/3]] || 3.50 || [[35ed9/7]] || 5.01 || [[35ed5/4]] || 5.23 || [[35ed11/9]] || 3.74 || [[35ed6/5]] || 2.67 | ||
|- | |- | ||
| [[36ed3/1]] || 15.14 || [[36ed2/1]] || 1.96 || [[36ed5/3]] || 6.73 || [[36ed3/2]] || 3.66 || [[36ed7/5]] || 7.98 || [[36ed4/3]] || 4.01 || [[36ed9/7]] || 1.55 || [[36ed5/4]] || '''0.02''' ||[[36ed11/9]] || 0.95 || [[36ed6/5]] || 1.58 | | [[36ed3/1]] || 15.14 || [[36ed2/1]] || 1.96 || [[36ed5/3]] || 6.73 || [[36ed3/2]] || 3.66 || [[36ed7/5]] || 7.98 || [[36ed4/3]] || 4.01 || [[36ed9/7]] || 1.55 || '''[[36ed5/4]]''' ||'''0.02''' ||[[36ed11/9]] || 0.95 || [[36ed6/5]] || 1.58 | ||
|- | |- | ||
| [[37ed3/1]] || 17.70 || [[37ed2/1]] || 11.56 || [[37ed5/3]] || 3.89 || [[37ed3/2]] || 6.88 || [[37ed7/5]] || 0.77 || [[37ed4/3]] || 2.34 || [[37ed9/7]] || 4.01 || [[37ed5/4]] || 4.91 || [[37ed11/9]] || 4.01 || [[37ed6/5]] || 2.92 | | [[37ed3/1]] || 17.70 || [[37ed2/1]] || 11.56 || [[37ed5/3]] || 3.89 || [[37ed3/2]] || 6.88 || [[37ed7/5]] || 0.77 || [[37ed4/3]] || 2.34 || [[37ed9/7]] || 4.01 || [[37ed5/4]] || 4.91 || [[37ed11/9]] || 4.01 || [[37ed6/5]] || 2.92 | ||
| Line 93: | Line 93: | ||
| [[39ed3/1]] || 19.20 || [[39ed2/1]] || 5.74 || [[39ed5/3]] || 0.82 || [[39ed3/2]] || 8.34 || [[39ed7/5]] || 1.98 || [[39ed4/3]] || 1.31 || [[39ed9/7]] || 3.10 || [[39ed5/4]] || 4.11 || [[39ed11/9]] || 4.25 || [[39ed6/5]] || 3.14 | | [[39ed3/1]] || 19.20 || [[39ed2/1]] || 5.74 || [[39ed5/3]] || 0.82 || [[39ed3/2]] || 8.34 || [[39ed7/5]] || 1.98 || [[39ed4/3]] || 1.31 || [[39ed9/7]] || 3.10 || [[39ed5/4]] || 4.11 || [[39ed11/9]] || 4.25 || [[39ed6/5]] || 3.14 | ||
|- | |- | ||
| [[40ed3/1]] || 11.28 || [[40ed2/1]] || 11.96 || [[40ed5/3]] || 10.46 || [[40ed3/2]] || 0.24 || [[40ed7/5]] || 4.74 || [[40ed4/3]] || 5.40 || [[40ed9/7]] || 2.75 || [[40ed5/4]] || 1.10 || [[40ed11/9]] || '''0.01''' ||[[40ed6/5]] || 0.71 | | [[40ed3/1]] || 11.28 || [[40ed2/1]] || 11.96 || [[40ed5/3]] || 10.46 || [[40ed3/2]] || 0.24 || [[40ed7/5]] || 4.74 || [[40ed4/3]] || 5.40 || [[40ed9/7]] || 2.75 || [[40ed5/4]] || 1.10 || '''[[40ed11/9]]''' ||'''0.01''' ||[[40ed6/5]] || 0.71 | ||
|- | |- | ||
| [[41ed3/1]] || 6.12 || [[41ed2/1]] || 0.48 || [[41ed5/3]] || 1.94 || [[41ed3/2]] || 7.47 || [[41ed7/5]] || 3.07 || [[41ed4/3]] || 0.37 || [[41ed9/7]] || 2.29 || [[41ed5/4]] || 3.38 || [[41ed11/9]] || 4.01 || [[41ed6/5]] || 3.33 | | [[41ed3/1]] || 6.12 || [[41ed2/1]] || 0.48 || [[41ed5/3]] || 1.94 || [[41ed3/2]] || 7.47 || [[41ed7/5]] || 3.07 || [[41ed4/3]] || 0.37 || [[41ed9/7]] || 2.29 || [[41ed5/4]] || 3.38 || [[41ed11/9]] || 4.01 || [[41ed6/5]] || 3.33 | ||
| Line 101: | Line 101: | ||
| [[43ed3/1]] || 5.75 || [[43ed2/1]] || 4.28 || [[43ed5/3]] || 4.45 || [[43ed3/2]] || 5.48 || [[43ed7/5]] || 4.06 || [[43ed4/3]] || 0.47 || [[43ed9/7]] || 1.55 || [[43ed5/4]] || 2.72 || [[43ed11/9]] || 3.42 || [[43ed6/5]] || 3.51 | | [[43ed3/1]] || 5.75 || [[43ed2/1]] || 4.28 || [[43ed5/3]] || 4.45 || [[43ed3/2]] || 5.48 || [[43ed7/5]] || 4.06 || [[43ed4/3]] || 0.47 || [[43ed9/7]] || 1.55 || [[43ed5/4]] || 2.72 || [[43ed11/9]] || 3.42 || [[43ed6/5]] || 3.51 | ||
|- | |- | ||
| [[44ed3/1]] || 10.34 || [[44ed2/1]] || 7.14 || [[44ed5/3]] || 4.43 || [[44ed3/2]] || 3.43 || [[44ed7/5]] || 2.09 || [[44ed4/3]] || 4.79 || [[44ed9/7]] || 3.74 || [[44ed5/4]] || 1.97 || [[44ed11/9]] || 0.80 || [[44ed6/5]] || '''0.01''' | | [[44ed3/1]] || 10.34 || [[44ed2/1]] || 7.14 || [[44ed5/3]] || 4.43 || [[44ed3/2]] || 3.43 || [[44ed7/5]] || 2.09 || [[44ed4/3]] || 4.79 || [[44ed9/7]] || 3.74 || [[44ed5/4]] || 1.97 || [[44ed11/9]] || 0.80 || '''[[44ed6/5]]''' ||'''0.01''' | ||
|- | |- | ||
| [[45ed3/1]] || 16.56 || [[45ed2/1]] || 8.62 || [[45ed5/3]] || 6.73 || [[45ed3/2]] || 3.66 || [[45ed7/5]] || 4.97 || [[45ed4/3]] || 1.25 || [[45ed9/7]] || 0.87 || [[45ed5/4]] || 2.12 || [[45ed11/9]] || 2.88 || [[45ed6/5]] || 3.34 | | [[45ed3/1]] || 16.56 || [[45ed2/1]] || 8.62 || [[45ed5/3]] || 6.73 || [[45ed3/2]] || 3.66 || [[45ed7/5]] || 4.97 || [[45ed4/3]] || 1.25 || [[45ed9/7]] || 0.87 || [[45ed5/4]] || 2.12 || [[45ed11/9]] || 2.88 || [[45ed6/5]] || 3.34 | ||
Revision as of 16:39, 29 August 2024
For each pair of superparticular ratios [math]\displaystyle{ {s1}/{s2} }[/math] and [math]\displaystyle{ {s2}/{s3} }[/math], there exists a ratio [math]\displaystyle{ {a}/{b} }[/math] such that [math]\displaystyle{ {s1}/{s2} }[/math] and [math]\displaystyle{ {s2}/{s3} }[/math] are [math]\displaystyle{ {a}/{b} }[/math] complementary; it is observed that [math]\displaystyle{ a−b=1 }[/math] or [math]\displaystyle{ a−b=2 }[/math]. In other words, for each ratio [math]\displaystyle{ a/b }[/math] where [math]\displaystyle{ a−b=1 }[/math] or [math]\displaystyle{ a−b=2 }[/math], there exists a pair of superparticular ratios [math]\displaystyle{ {s1}/{s2} }[/math] and [math]\displaystyle{ {s2}/{s3} }[/math] that are [math]\displaystyle{ {a}/{b} }[/math] complementary.
Bellow is a table that show for equal divisions of [math]\displaystyle{ a/b }[/math] the cent error in the mapping of superparticular ratios [math]\displaystyle{ {s1}/{s2} }[/math] and [math]\displaystyle{ {s2}/{s3} }[/math] that are [math]\displaystyle{ a/b }[/math] complementary.
We can observe a converging sequence and pattern for low errors: 5, 7, 12; then 7, 9, 16; then 9, 11, 20; then 11, 13, 24; then 13, 15, 28; then 15, 17, 32; then 17, 19, 36; then 19, 21, 40; then 21, 23, 44; etc. --
| Todo: Table
Show the table for 3/1, 2/1, 5/3, 3/2, 7/5, 4/3, 9/7, 5/4, 11/9, 6/5. Highlight the pattern in bold. |