User:Contribution/Successive superparticular complementary pair: Difference between revisions
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Contribution (talk | contribs) No edit summary |
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| Line 14: | Line 14: | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! | |||
! | |||
!1 | !1 | ||
!2 | !2 | ||
| Line 24: | Line 26: | ||
!9 | !9 | ||
|- | |- | ||
| rowspan="9" |3/1 | |||
| rowspan="9" |2/1, 3/2 | |||
| rowspan="3" |Alpha 3/1 | | rowspan="3" |Alpha 3/1 | ||
| rowspan="3" |3ed3/1 | | rowspan="3" |3ed3/1 | ||
| Line 78: | Line 82: | ||
|optimization error: 11.969 | |optimization error: 11.969 | ||
|- | |- | ||
| rowspan="9" |2/1 | |||
| rowspan="9" |3/2, 4/3 | |||
| rowspan="3" |Alpha 2/1 | | rowspan="3" |Alpha 2/1 | ||
| rowspan="3" |5ed2/1 | | rowspan="3" |5ed2/1 | ||
| Line 132: | Line 138: | ||
|optimization error: 2.045 | |optimization error: 2.045 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 5/3 | | rowspan="3" |Alpha 5/3 | ||
| rowspan="3" |7ed5/3 | | rowspan="3" |7ed5/3 | ||
| Line 142: | Line 150: | ||
|optimization error: -0.691 | |optimization error: -0.691 | ||
|- | |- | ||
| | |||
| | |||
|4/3 mapping: 4\7<5/3> | |4/3 mapping: 4\7<5/3> | ||
|equal division error: 7.303 | |equal division error: 7.303 | ||
|optimization error: 6.908 | |optimization error: 6.908 | ||
|- | |- | ||
| | |||
| | |||
|5/4 mapping: 3\7<5/3> | |5/4 mapping: 3\7<5/3> | ||
|equal division error: -7.303 | |equal division error: -7.303 | ||
|optimization error: -7.599 | |optimization error: -7.599 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 5/3 | | rowspan="3" |Beta 5/3 | ||
| rowspan="3" |9ed5/3 | | rowspan="3" |9ed5/3 | ||
| Line 160: | Line 174: | ||
|optimization error: 0.497 | |optimization error: 0.497 | ||
|- | |- | ||
| | |||
| | |||
|4/3 mapping: 5\9<5/3> | |4/3 mapping: 5\9<5/3> | ||
|equal division error: -6.735 | |equal division error: -6.735 | ||
|optimization error: -6.459 | |optimization error: -6.459 | ||
|- | |- | ||
| | |||
| | |||
|5/4 mapping: 4\9<5/3> | |5/4 mapping: 4\9<5/3> | ||
|equal division error: 6.735 | |equal division error: 6.735 | ||
|optimization error: 6.955 | |optimization error: 6.955 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 5/3 | | rowspan="3" |Gamma 5/3 | ||
| rowspan="3" |16ed5/3 | | rowspan="3" |16ed5/3 | ||
| Line 178: | Line 198: | ||
|optimization error: 0.049 | |optimization error: 0.049 | ||
|- | |- | ||
| | |||
| | |||
|4/3 mapping: 9\16<5/3> | |4/3 mapping: 9\16<5/3> | ||
|equal division error: -0.593 | |equal division error: -0.593 | ||
|optimization error: -0.566 | |optimization error: -0.566 | ||
|- | |- | ||
| | |||
| | |||
|5/4 mapping: 7\16<5/3> | |5/4 mapping: 7\16<5/3> | ||
|equal division error: 0.593 | |equal division error: 0.593 | ||
|optimization error: 0.615 | |optimization error: 0.615 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 3/2 | | rowspan="3" |Alpha 3/2 | ||
| rowspan="3" |9ed3/2 | | rowspan="3" |9ed3/2 | ||
| Line 196: | Line 222: | ||
|optimization error: -0.270 | |optimization error: -0.270 | ||
|- | |- | ||
| | |||
| | |||
|5/4 mapping: 5\9<3/2> | |5/4 mapping: 5\9<3/2> | ||
|equal division error: 3.661 | |equal division error: 3.661 | ||
|optimization error: 3.511 | |optimization error: 3.511 | ||
|- | |- | ||
| | |||
| | |||
|6/5 mapping: 4\9<3/2> | |6/5 mapping: 4\9<3/2> | ||
|equal division error: -3.661 | |equal division error: -3.661 | ||
|optimization error: -3.781 | |optimization error: -3.781 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 3/2 | | rowspan="3" |Beta 3/2 | ||
| rowspan="3" |11ed3/2 | | rowspan="3" |11ed3/2 | ||
| Line 214: | Line 246: | ||
|optimization error: 0.207 | |optimization error: 0.207 | ||
|- | |- | ||
| | |||
| | |||
|5/4 mapping: 6\11<3/2> | |5/4 mapping: 6\11<3/2> | ||
|equal division error: -3.429 | |equal division error: -3.429 | ||
|optimization error: -3.316 | |optimization error: -3.316 | ||
|- | |- | ||
| | |||
| | |||
|6/5 mapping: 5\11<3/2> | |6/5 mapping: 5\11<3/2> | ||
|equal division error: 3.429 | |equal division error: 3.429 | ||
|optimization error: 3.523 | |optimization error: 3.523 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 3/2 | | rowspan="3" |Gamma 3/2 | ||
| rowspan="3" |20ed3/2 | | rowspan="3" |20ed3/2 | ||
| Line 232: | Line 270: | ||
|optimization error: 0.016 | |optimization error: 0.016 | ||
|- | |- | ||
| | |||
| | |||
|5/4 mapping: 11\20<3/2> | |5/4 mapping: 11\20<3/2> | ||
|equal division error: -0.238 | |equal division error: -0.238 | ||
|optimization error: -0.230 | |optimization error: -0.230 | ||
|- | |- | ||
| | |||
| | |||
|6/5 mapping: 9\20<3/2> | |6/5 mapping: 9\20<3/2> | ||
|equal division error: 0.238 | |equal division error: 0.238 | ||
|optimization error: 0.246 | |optimization error: 0.246 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 7/5 | | rowspan="3" |Alpha 7/5 | ||
| rowspan="3" |11ed7/5 | | rowspan="3" |11ed7/5 | ||
| Line 250: | Line 294: | ||
|optimization error: -0.126 | |optimization error: -0.126 | ||
|- | |- | ||
| | |||
| | |||
|6/5 mapping: 6\11<7/5> | |6/5 mapping: 6\11<7/5> | ||
|equal division error: 2.093 | |equal division error: 2.093 | ||
|optimization error: 2.024 | |optimization error: 2.024 | ||
|- | |- | ||
| | |||
| | |||
|7/6 mapping: 5\11<7/5> | |7/6 mapping: 5\11<7/5> | ||
|equal division error: -2.093 | |equal division error: -2.093 | ||
|optimization error: -2.150 | |optimization error: -2.150 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 7/5 | | rowspan="3" |Beta 7/5 | ||
| rowspan="3" |13ed7/5 | | rowspan="3" |13ed7/5 | ||
| Line 268: | Line 318: | ||
|optimization error: 0.101 | |optimization error: 0.101 | ||
|- | |- | ||
| | |||
| | |||
|6/5 mapping: 7\13<7/5> | |6/5 mapping: 7\13<7/5> | ||
|equal division error: -1.981 | |equal division error: -1.981 | ||
|optimization error: -1.926 | |optimization error: -1.926 | ||
|- | |- | ||
| | |||
| | |||
|7/6 mapping: 6\13<7/5> | |7/6 mapping: 6\13<7/5> | ||
|equal division error: 1.981 | |equal division error: 1.981 | ||
|optimization error: 2.028 | |optimization error: 2.028 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 7/5 | | rowspan="3" |Gamma 7/5 | ||
| rowspan="3" |24ed7/5 | | rowspan="3" |24ed7/5 | ||
| Line 286: | Line 342: | ||
|optimization error: 0.006 | |optimization error: 0.006 | ||
|- | |- | ||
| | |||
| | |||
|6/5 mapping: 13\24<7/5> | |6/5 mapping: 13\24<7/5> | ||
|equal division error: -0.114 | |equal division error: -0.114 | ||
|optimization error: -0.110 | |optimization error: -0.110 | ||
|- | |- | ||
| | |||
| | |||
|7/6 mapping: 11\24<7/5> | |7/6 mapping: 11\24<7/5> | ||
|equal division error: 0.114 | |equal division error: 0.114 | ||
|optimization error: 0.117 | |optimization error: 0.117 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 4/3 | | rowspan="3" |Alpha 4/3 | ||
| rowspan="3" |13ed4/3 | | rowspan="3" |13ed4/3 | ||
| Line 304: | Line 366: | ||
|optimization error: -0.067 | |optimization error: -0.067 | ||
|- | |- | ||
| | |||
| | |||
|7/6 mapping: 7\13<4/3> | |7/6 mapping: 7\13<4/3> | ||
|equal division error: 1.307 | |equal division error: 1.307 | ||
|optimization error: 1.271 | |optimization error: 1.271 | ||
|- | |- | ||
| | |||
| | |||
|8/7 mapping: 6\13<4/3> | |8/7 mapping: 6\13<4/3> | ||
|equal division error: -1.307 | |equal division error: -1.307 | ||
|optimization error: -1.338 | |optimization error: -1.338 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 4/3 | | rowspan="3" |Beta 4/3 | ||
| rowspan="3" |15ed4/3 | | rowspan="3" |15ed4/3 | ||
| Line 322: | Line 390: | ||
|optimization error: 0.055 | |optimization error: 0.055 | ||
|- | |- | ||
| | |||
| | |||
|7/6 mapping: 8\15<4/3> | |7/6 mapping: 8\15<4/3> | ||
|equal division error: -1.247 | |equal division error: -1.247 | ||
|optimization error: -1.217 | |optimization error: -1.217 | ||
|- | |- | ||
| | |||
| | |||
|8/7 mapping: 7\15<4/3> | |8/7 mapping: 7\15<4/3> | ||
|equal division error: 1.247 | |equal division error: 1.247 | ||
|optimization error: 1.273 | |optimization error: 1.273 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 4/3 | | rowspan="3" |Gamma 4/3 | ||
| rowspan="3" |28ed4/3 | | rowspan="3" |28ed4/3 | ||
| Line 340: | Line 414: | ||
|optimization error: 0.003 | |optimization error: 0.003 | ||
|- | |- | ||
| | |||
| | |||
|7/6 mapping: 15\28<4/3> | |7/6 mapping: 15\28<4/3> | ||
|equal division error: -0.061 | |equal division error: -0.061 | ||
|optimization error: -0.060 | |optimization error: -0.060 | ||
|- | |- | ||
| | |||
| | |||
|8/7 mapping: 13\28<4/3> | |8/7 mapping: 13\28<4/3> | ||
|equal division error: 0.061 | |equal division error: 0.061 | ||
|optimization error: 0.062 | |optimization error: 0.062 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 9/7 | | rowspan="3" |Alpha 9/7 | ||
| rowspan="3" |15ed9/7 | | rowspan="3" |15ed9/7 | ||
| Line 358: | Line 438: | ||
|optimization error: -0.039 | |optimization error: -0.039 | ||
|- | |- | ||
| | |||
| | |||
|8/7 mapping: 8\15<9/7> | |8/7 mapping: 8\15<9/7> | ||
|equal division error: 0.871 | |equal division error: 0.871 | ||
|optimization error: 0.850 | |optimization error: 0.850 | ||
|- | |- | ||
| | |||
| | |||
|9/8 mapping: 7\15<9/7> | |9/8 mapping: 7\15<9/7> | ||
|equal division error: -0.871 | |equal division error: -0.871 | ||
|optimization error: -0.889 | |optimization error: -0.889 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 9/7 | | rowspan="3" |Beta 9/7 | ||
| rowspan="3" |17ed9/7 | | rowspan="3" |17ed9/7 | ||
| Line 376: | Line 462: | ||
|optimization error: 0.033 | |optimization error: 0.033 | ||
|- | |- | ||
| | |||
| | |||
|8/7 mapping: 9\17<9/7> | |8/7 mapping: 9\17<9/7> | ||
|equal division error: -0.835 | |equal division error: -0.835 | ||
|optimization error: -0.818 | |optimization error: -0.818 | ||
|- | |- | ||
| | |||
| | |||
|9/8 mapping: 8\17<9/7> | |9/8 mapping: 8\17<9/7> | ||
|equal division error: 0.835 | |equal division error: 0.835 | ||
|optimization error: 0.851 | |optimization error: 0.851 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 9/7 | | rowspan="3" |Gamma 9/7 | ||
| rowspan="3" |32ed9/7 | | rowspan="3" |32ed9/7 | ||
| Line 394: | Line 486: | ||
|optimization error: 0.001 | |optimization error: 0.001 | ||
|- | |- | ||
| | |||
| | |||
|8/7 mapping: 17\32<9/7> | |8/7 mapping: 17\32<9/7> | ||
|equal division error: -0.036 | |equal division error: -0.036 | ||
|optimization error: -0.035 | |optimization error: -0.035 | ||
|- | |- | ||
| | |||
| | |||
|9/8 mapping: 15\32<9/7> | |9/8 mapping: 15\32<9/7> | ||
|equal division error: 0.036 | |equal division error: 0.036 | ||
|optimization error: 0.036 | |optimization error: 0.036 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 5/4 | | rowspan="3" |Alpha 5/4 | ||
| rowspan="3" |17ed5/4 | | rowspan="3" |17ed5/4 | ||
| Line 412: | Line 510: | ||
|optimization error: -0.024 | |optimization error: -0.024 | ||
|- | |- | ||
| | |||
| | |||
|9/8 mapping: 9\17<5/4> | |9/8 mapping: 9\17<5/4> | ||
|equal division error: 0.609 | |equal division error: 0.609 | ||
|optimization error: 0.596 | |optimization error: 0.596 | ||
|- | |- | ||
| | |||
| | |||
|10/9 mapping: 8\17<5/4> | |10/9 mapping: 8\17<5/4> | ||
|equal division error: -0.609 | |equal division error: -0.609 | ||
|optimization error: -0.620 | |optimization error: -0.620 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 5/4 | | rowspan="3" |Beta 5/4 | ||
| rowspan="3" |19ed5/4 | | rowspan="3" |19ed5/4 | ||
| Line 430: | Line 534: | ||
|optimization error: 0.021 | |optimization error: 0.021 | ||
|- | |- | ||
| | |||
| | |||
|9/8 mapping: 10\19<5/4> | |9/8 mapping: 10\19<5/4> | ||
|equal division error: -0.587 | |equal division error: -0.587 | ||
|optimization error: -0.576 | |optimization error: -0.576 | ||
|- | |- | ||
| | |||
| | |||
|10/9 mapping: 9\19<5/4> | |10/9 mapping: 9\19<5/4> | ||
|equal division error: 0.587 | |equal division error: 0.587 | ||
|optimization error: 0.597 | |optimization error: 0.597 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 5/4 | | rowspan="3" |Gamma 5/4 | ||
| rowspan="3" |36ed5/4 | | rowspan="3" |36ed5/4 | ||
| Line 448: | Line 558: | ||
|optimization error: 0.001 | |optimization error: 0.001 | ||
|- | |- | ||
| | |||
| | |||
|9/8 mapping: 19\36<5/4> | |9/8 mapping: 19\36<5/4> | ||
|equal division error: -0.022 | |equal division error: -0.022 | ||
|optimization error: -0.022 | |optimization error: -0.022 | ||
|- | |- | ||
| | |||
| | |||
|10/9 mapping: 17\36<5/4> | |10/9 mapping: 17\36<5/4> | ||
|equal division error: 0.022 | |equal division error: 0.022 | ||
|optimization error: 0.023 | |optimization error: 0.023 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 11/9 | | rowspan="3" |Alpha 11/9 | ||
| rowspan="3" |19ed11/9 | | rowspan="3" |19ed11/9 | ||
| Line 466: | Line 582: | ||
|optimization error: -0.016 | |optimization error: -0.016 | ||
|- | |- | ||
| | |||
| | |||
|10/9 mapping: 10\19<11/9> | |10/9 mapping: 10\19<11/9> | ||
|equal division error: 0.443 | |equal division error: 0.443 | ||
|optimization error: 0.434 | |optimization error: 0.434 | ||
|- | |- | ||
| | |||
| | |||
|11/10 mapping: 9\19<11/9> | |11/10 mapping: 9\19<11/9> | ||
|equal division error: -0.443 | |equal division error: -0.443 | ||
|optimization error: -0.450 | |optimization error: -0.450 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 11/9 | | rowspan="3" |Beta 11/9 | ||
| rowspan="3" |21ed11/9 | | rowspan="3" |21ed11/9 | ||
| Line 484: | Line 606: | ||
|optimization error: 0.014 | |optimization error: 0.014 | ||
|- | |- | ||
| | |||
| | |||
|10/9 mapping: 11\21<11/9> | |10/9 mapping: 11\21<11/9> | ||
|equal division error: -0.428 | |equal division error: -0.428 | ||
|optimization error: -0.421 | |optimization error: -0.421 | ||
|- | |- | ||
| | |||
| | |||
|11/10 mapping: 10\21<11/9> | |11/10 mapping: 10\21<11/9> | ||
|equal division error: 0.428 | |equal division error: 0.428 | ||
|optimization error: 0.435 | |optimization error: 0.435 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 11/9 | | rowspan="3" |Gamma 11/9 | ||
| rowspan="3" |40ed11/9 | | rowspan="3" |40ed11/9 | ||
| Line 502: | Line 630: | ||
|optimization error: 0.000 | |optimization error: 0.000 | ||
|- | |- | ||
| | |||
| | |||
|10/9 mapping: 21\40<11/9> | |10/9 mapping: 21\40<11/9> | ||
|equal division error: -0.015 | |equal division error: -0.015 | ||
|optimization error: -0.014 | |optimization error: -0.014 | ||
|- | |- | ||
| | |||
| | |||
|11/10 mapping: 19\40<11/9> | |11/10 mapping: 19\40<11/9> | ||
|equal division error: 0.015 | |equal division error: 0.015 | ||
|optimization error: 0.015 | |optimization error: 0.015 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 6/5 | | rowspan="3" |Alpha 6/5 | ||
| rowspan="3" |21ed6/5 | | rowspan="3" |21ed6/5 | ||
| Line 520: | Line 654: | ||
|optimization error: -0.011 | |optimization error: -0.011 | ||
|- | |- | ||
| | |||
| | |||
|11/10 mapping: 11\21<6/5> | |11/10 mapping: 11\21<6/5> | ||
|equal division error: 0.332 | |equal division error: 0.332 | ||
|optimization error: 0.326 | |optimization error: 0.326 | ||
|- | |- | ||
| | |||
| | |||
|12/11 mapping: 10\21<6/5> | |12/11 mapping: 10\21<6/5> | ||
|equal division error: -0.332 | |equal division error: -0.332 | ||
|optimization error: -0.337 | |optimization error: -0.337 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 6/5 | | rowspan="3" |Beta 6/5 | ||
| rowspan="3" |23ed6/5 | | rowspan="3" |23ed6/5 | ||
| Line 538: | Line 678: | ||
|optimization error: 0.009 | |optimization error: 0.009 | ||
|- | |- | ||
| | |||
| | |||
|11/10 mapping: 12\23<6/5> | |11/10 mapping: 12\23<6/5> | ||
|equal division error: -0.322 | |equal division error: -0.322 | ||
|optimization error: -0.317 | |optimization error: -0.317 | ||
|- | |- | ||
| | |||
| | |||
|12/11 mapping: 11\23<6/5> | |12/11 mapping: 11\23<6/5> | ||
|equal division error: 0.322 | |equal division error: 0.322 | ||
|optimization error: 0.326 | |optimization error: 0.326 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 6/5 | | rowspan="3" |Gamma 6/5 | ||
| rowspan="3" |44ed6/5 | | rowspan="3" |44ed6/5 | ||
| Line 556: | Line 702: | ||
|optimization error: 0.000 | |optimization error: 0.000 | ||
|- | |- | ||
| | |||
| | |||
|11/10 mapping: 23\44<6/5> | |11/10 mapping: 23\44<6/5> | ||
|equal division error: -0.010 | |equal division error: -0.010 | ||
|optimization error: -0.010 | |optimization error: -0.010 | ||
|- | |- | ||
| | |||
| | |||
|12/11 mapping: 21\44<6/5> | |12/11 mapping: 21\44<6/5> | ||
|equal division error: 0.010 | |equal division error: 0.010 | ||
|optimization error: 0.010 | |optimization error: 0.010 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 13/11 | | rowspan="3" |Alpha 13/11 | ||
| rowspan="3" |23ed13/11 | | rowspan="3" |23ed13/11 | ||
| Line 574: | Line 726: | ||
|optimization error: -0.007 | |optimization error: -0.007 | ||
|- | |- | ||
| | |||
| | |||
|12/11 mapping: 12\23<13/11> | |12/11 mapping: 12\23<13/11> | ||
|equal division error: 0.255 | |equal division error: 0.255 | ||
|optimization error: 0.251 | |optimization error: 0.251 | ||
|- | |- | ||
| | |||
| | |||
|13/12 mapping: 11\23<13/11> | |13/12 mapping: 11\23<13/11> | ||
|equal division error: -0.255 | |equal division error: -0.255 | ||
|optimization error: -0.259 | |optimization error: -0.259 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 13/11 | | rowspan="3" |Beta 13/11 | ||
| rowspan="3" |25ed13/11 | | rowspan="3" |25ed13/11 | ||
| Line 592: | Line 750: | ||
|optimization error: 0.007 | |optimization error: 0.007 | ||
|- | |- | ||
| | |||
| | |||
|12/11 mapping: 13\25<13/11> | |12/11 mapping: 13\25<13/11> | ||
|equal division error: -0.248 | |equal division error: -0.248 | ||
|optimization error: -0.245 | |optimization error: -0.245 | ||
|- | |- | ||
| | |||
| | |||
|13/12 mapping: 12\25<13/11> | |13/12 mapping: 12\25<13/11> | ||
|equal division error: 0.248 | |equal division error: 0.248 | ||
|optimization error: 0.251 | |optimization error: 0.251 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 13/11 | | rowspan="3" |Gamma 13/11 | ||
| rowspan="3" |48ed13/11 | | rowspan="3" |48ed13/11 | ||
| Line 610: | Line 774: | ||
|optimization error: 0.000 | |optimization error: 0.000 | ||
|- | |- | ||
| | |||
| | |||
|12/11 mapping: 25\48<13/11> | |12/11 mapping: 25\48<13/11> | ||
|equal division error: -0.007 | |equal division error: -0.007 | ||
|optimization error: -0.007 | |optimization error: -0.007 | ||
|- | |- | ||
| | |||
| | |||
|13/12 mapping: 23\48<13/11> | |13/12 mapping: 23\48<13/11> | ||
|equal division error: 0.007 | |equal division error: 0.007 | ||
|optimization error: 0.007 | |optimization error: 0.007 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 7/6 | | rowspan="3" |Alpha 7/6 | ||
| rowspan="3" |25ed7/6 | | rowspan="3" |25ed7/6 | ||
| Line 628: | Line 798: | ||
|optimization error: -0.005 | |optimization error: -0.005 | ||
|- | |- | ||
| | |||
| | |||
|13/12 mapping: 13\25<7/6> | |13/12 mapping: 13\25<7/6> | ||
|equal division error: 0.200 | |equal division error: 0.200 | ||
|optimization error: 0.197 | |optimization error: 0.197 | ||
|- | |- | ||
| | |||
| | |||
|14/13 mapping: 12\25<7/6> | |14/13 mapping: 12\25<7/6> | ||
|equal division error: -0.200 | |equal division error: -0.200 | ||
|optimization error: -0.203 | |optimization error: -0.203 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 7/6 | | rowspan="3" |Beta 7/6 | ||
| rowspan="3" |27ed7/6 | | rowspan="3" |27ed7/6 | ||
| Line 646: | Line 822: | ||
|optimization error: 0.005 | |optimization error: 0.005 | ||
|- | |- | ||
| | |||
| | |||
|13/12 mapping: 14\27<7/6> | |13/12 mapping: 14\27<7/6> | ||
|equal division error: -0.195 | |equal division error: -0.195 | ||
|optimization error: -0.193 | |optimization error: -0.193 | ||
|- | |- | ||
| | |||
| | |||
|14/13 mapping: 13\27<7/6> | |14/13 mapping: 13\27<7/6> | ||
|equal division error: 0.195 | |equal division error: 0.195 | ||
|optimization error: 0.197 | |optimization error: 0.197 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 7/6 | | rowspan="3" |Gamma 7/6 | ||
| rowspan="3" |52ed7/6 | | rowspan="3" |52ed7/6 | ||
| Line 664: | Line 846: | ||
|optimization error: 0.000 | |optimization error: 0.000 | ||
|- | |- | ||
| | |||
| | |||
|13/12 mapping: 27\52<7/6> | |13/12 mapping: 27\52<7/6> | ||
|equal division error: -0.005 | |equal division error: -0.005 | ||
|optimization error: -0.005 | |optimization error: -0.005 | ||
|- | |- | ||
| | |||
| | |||
|14/13 mapping: 25\52<7/6> | |14/13 mapping: 25\52<7/6> | ||
|equal division error: 0.005 | |equal division error: 0.005 | ||
|optimization error: 0.005 | |optimization error: 0.005 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 15/13 | | rowspan="3" |Alpha 15/13 | ||
| rowspan="3" |27ed15/13 | | rowspan="3" |27ed15/13 | ||
| Line 682: | Line 870: | ||
|optimization error: -0.004 | |optimization error: -0.004 | ||
|- | |- | ||
| | |||
| | |||
|14/13 mapping: 14\27<15/13> | |14/13 mapping: 14\27<15/13> | ||
|equal division error: 0.160 | |equal division error: 0.160 | ||
|optimization error: 0.158 | |optimization error: 0.158 | ||
|- | |- | ||
| | |||
| | |||
|15/14 mapping: 13\27<15/13> | |15/14 mapping: 13\27<15/13> | ||
|equal division error: -0.160 | |equal division error: -0.160 | ||
|optimization error: -0.162 | |optimization error: -0.162 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 15/13 | | rowspan="3" |Beta 15/13 | ||
| rowspan="3" |29ed15/13 | | rowspan="3" |29ed15/13 | ||
| Line 700: | Line 894: | ||
|optimization error: 0.004 | |optimization error: 0.004 | ||
|- | |- | ||
| | |||
| | |||
|14/13 mapping: 15\29<15/13> | |14/13 mapping: 15\29<15/13> | ||
|equal division error: -0.156 | |equal division error: -0.156 | ||
|optimization error: -0.154 | |optimization error: -0.154 | ||
|- | |- | ||
| | |||
| | |||
|15/14 mapping: 14\29<15/13> | |15/14 mapping: 14\29<15/13> | ||
|equal division error: 0.156 | |equal division error: 0.156 | ||
|optimization error: 0.158 | |optimization error: 0.158 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 15/13 | | rowspan="3" |Gamma 15/13 | ||
| rowspan="3" |56ed15/13 | | rowspan="3" |56ed15/13 | ||
| Line 718: | Line 918: | ||
|optimization error: 0.000 | |optimization error: 0.000 | ||
|- | |- | ||
| | |||
| | |||
|14/13 mapping: 29\56<15/13> | |14/13 mapping: 29\56<15/13> | ||
|equal division error: -0.004 | |equal division error: -0.004 | ||
|optimization error: -0.004 | |optimization error: -0.004 | ||
|- | |- | ||
| | |||
| | |||
|15/14 mapping: 27\56<15/13> | |15/14 mapping: 27\56<15/13> | ||
|equal division error: 0.004 | |equal division error: 0.004 | ||
|optimization error: 0.004 | |optimization error: 0.004 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Alpha 8/7 | | rowspan="3" |Alpha 8/7 | ||
| rowspan="3" |29ed8/7 | | rowspan="3" |29ed8/7 | ||
| Line 736: | Line 942: | ||
|optimization error: -0.003 | |optimization error: -0.003 | ||
|- | |- | ||
| | |||
| | |||
|15/14 mapping: 15\29<8/7> | |15/14 mapping: 15\29<8/7> | ||
|equal division error: 0.130 | |equal division error: 0.130 | ||
|optimization error: 0.128 | |optimization error: 0.128 | ||
|- | |- | ||
| | |||
| | |||
|16/15 mapping: 14\29<8/7> | |16/15 mapping: 14\29<8/7> | ||
|equal division error: -0.130 | |equal division error: -0.130 | ||
|optimization error: -0.131 | |optimization error: -0.131 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Beta 8/7 | | rowspan="3" |Beta 8/7 | ||
| rowspan="3" |31ed8/7 | | rowspan="3" |31ed8/7 | ||
| Line 754: | Line 966: | ||
|optimization error: 0.003 | |optimization error: 0.003 | ||
|- | |- | ||
| | |||
| | |||
|15/14 mapping: 16\31<8/7> | |15/14 mapping: 16\31<8/7> | ||
|equal division error: -0.127 | |equal division error: -0.127 | ||
|optimization error: -0.126 | |optimization error: -0.126 | ||
|- | |- | ||
| | |||
| | |||
|16/15 mapping: 15\31<8/7> | |16/15 mapping: 15\31<8/7> | ||
|equal division error: 0.127 | |equal division error: 0.127 | ||
|optimization error: 0.128 | |optimization error: 0.128 | ||
|- | |- | ||
| | |||
| | |||
| rowspan="3" |Gamma 8/7 | | rowspan="3" |Gamma 8/7 | ||
| rowspan="3" |60ed8/7 | | rowspan="3" |60ed8/7 | ||
| Line 772: | Line 990: | ||
|optimization error: 0.000 | |optimization error: 0.000 | ||
|- | |- | ||
| | |||
| | |||
|15/14 mapping: 31\60<8/7> | |15/14 mapping: 31\60<8/7> | ||
|equal division error: -0.003 | |equal division error: -0.003 | ||
|optimization error: -0.003 | |optimization error: -0.003 | ||
|- | |- | ||
| | |||
| | |||
|16/15 mapping: 29\60<8/7> | |16/15 mapping: 29\60<8/7> | ||
|equal division error: 0.003 | |equal division error: 0.003 | ||