// list of morphisms fib 01 0 h1 01 1 h2 001 01 h3 0001 001 h4 00001 0001 h5 000001 00001 cuf 001001010010011 00101001010011 four 01 02 32 31 three 012 02 1 aabaacbaab 00011010001011100101100111 00010111001011000110100111 00010110001101000101100111 //size=26 aabaccb 00010100011101011100101100011010011 00010100011010011100101100111010111 00010100011001011000110100111001011 //size=35 aabba 000100101110001110110100011100010110111 000100101110001110100100011101101000111 000100101110001011011100011101001000111 //size=39 aabbcabba 000100010110111011100010110001000101101110110001011011100010110111011100010110111011000101101110001011 000100010110111011000101101110111000101100010001011011100010110111011100010110111011000101101110001011 000100010110111000101101110111000101100010001011011101100010110111011100010110111011000101101110001011 //size=102 aabbcac 000101011001010011010110010101110100010111010100110101100101011101000101011001010011010100010111010100110101100101001101010001011101 000101011001010011010110010101110100010101100101001101010001011101010011010110010101110100010111010100110101100101001101010001011101 000101011001010011010100010111010100110101100101011101000101011001010011010110010101110100010111010100110101100101001101010001011101 //size=132 aabbcbc 0001010100011101011100011101010111 0001010100011100010100011101010111 0001010001110001010111000111010111 //size=34 aabbcc 0001011000111001011101001110010110001101001110001101 0001011000111001011000110100111001011101001110001101 0001011000110100111001011000111001011101001110001101 //size=52 aabcbc 0001100101100011100110100111001011000110100111 0001100101100011010011100101100011100110100111 0001100101100011010011000111001011000110100111 //size=46 aabccab 0000101111101000011111101000101111 0000101110100001111010001011111100 0000101110100000011110100010111111 //size=34 aabccba 00010110001110010111010011100011010001011000111001011101 00010110001101001110010110001101000101110100111001011101 00010110001101000101110100111001011000110100111001011101 //size=56 abaab 000010111000111101000011100010111101 000010111000111101000010111100011101 000010111000011110001011110100001111 //size=36 abaacbc 01110000110000111 01011100110011101 01000110011000101 00011110011110001 //size=17 abaaccb 0000010110011101011100110100000111110100110101100101111100000101100111010011010110010111001101000001111101001100010100011001011111 0000010110011101011100110100000111110100110001011001010011010001100101111100000101100101001101000001111101001100010100011001011111 0000010110010100110100011001011111000001011001110101110011010000011111010011000101000110010111110000010110011101001101011001011111 //size=130 abacacb 001010011111 000110100111 000001101011 //size=12 abacbc 00011010110000111100101001110 00011010110000011100101001111 00001101011000111101110011110 00001101011000011110011101111 00001101001100001110110011110 //size=29 abaccab 0101110010100000111 0101100000010011100 0100010111010100011 //size=19 abaccba 0001101011110010100001110100111100011100101001111 0001101011110010100001110001101011000011101001111 0001011000011101011000101001111000111010110000111 //size=49 0001101010000110101111 0001011000011101001111 0001010011101010000111 //size=22 10101100001110 01010111100011 01010000111110 //size=14 abbacca 000111001011 000101111010 000100111011 //size=12 00111001011000111001101 00111000110010110001101 00001110001101001110100 //size=23 abbaccb 000010111100010111010001111010000111010111 000010111100010101100101001101011001010111 000010111100010100011110100001110100010111 //size=42 abbcacb 0010000001101111 0000111010001111 0000100111111011 0000001001101011 //size=16 abbcbac 00101010101011 00010001110111 00000101011111 00000010111111 //size=14 abbcbca 0001101011001010100111 0001101010110010100111 0001101010011100101011 //size=22 abbccab 00010100100101011111 00010010001110110111 00000101011011010111 //size=20 abcaacb 000001011111001000110111 000001011111000100111011 000001010111110010011011 //size=24 0000010110101011000100110111001000111011 0000010110101001011111000001010100111011 0000010101111100010011111010100000110111 //size=40 abcacab 0001110101 0001011101 0001010111 //size=10 abcacb 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000001001111011000101111000001011010000111110110000100111100000101101000011111010010111100001001111101100000100111010000111110100101111000001001111011000011111010010111100001001111101100000100111010000111110100101111000001011010000111110110000100111010000111110100101111000001001111011000101111000001011010000111110110000100111100000101101000011110110000010011111011000101111000001011010000111110100101111000001001111011000011111010010111100000101101000011110110000010011111011000101111000001011010000111110110000100111010000111110100101111000001001111011000011111010010111100001001111101100000100111010000111110100101111000001011010000111110110000100111010000111110100101111000001001111011000011111010010111100000101101000011110110000010011111011000101111000001011010000111110110000100111010000111110100101111 000001001111011000101111000001011010000111110110000100111100000101101000011111010010111100001001111101100000100111010000111110100101111000001001111011000101111000001011010000111110110000100111100000101101000011110110000010011111011000101111000001011010000111110100101111000001001111011000011111010010111100000101101000011110110000010011111011000101111000001011010000111110110000100111010000111110100101111000001001111011000011111010010111100001001111101100000100111010000111110100101111000001011010000111110110000100111010000111110100101111000001001111011000101111000001011010000111110110000100111100000101101000011110110000010011111011000101111000001011010000111110100101111000001001111011000011111010010111100001001111101100000100111010000111110100101111000001011010000111110110000100111010000111110100101111 000001001111011000101111000001011010000111110110000100111100000101101000011111010010111100001001111101100000100111010000111110100101111000001001111011000101111000001011010000111110110000100111100000101101000011110110000010011111011000101111000001011010000111110100101111000001001111011000011111010010111100001001111101100000100111010000111110100101111000001011010000111110110000100111010000111110100101111000001001111011000011111010010111100000101101000011110110000010011111011000101111000001011010000111110110000100111010000111110100101111000001001111011000101111000001011010000111110110000100111100000101101000011110110000010011111011000101111000001011010000111110100101111000001001111011000011111010010111100000101101000011110110000010011111011000101111000001011010000111110110000100111010000111110100101111 //size=810 = 6*135 lim=6 rt4 !!!!!!!!!!!!!!!!!!! abcacb = (m64)o(m42) see below !!!!!!!!!!!!!!!!!!!!!!! abcbbac 010000011011011011 001001001001111101 001000000111111011 000000101010111111 //size=18 m42 000001001111011000101111000001011010000111110110000100111100000101101000011111010010111100001001111101100000100111010000111110100101111 000001001111011000101111000001011010000111110110000100111100000101101000011110110000010011111011000101111000001011010000111110100101111 000001001111011000011111010010111100001001111101100000100111010000111110100101111000001011010000111110110000100111010000111110100101111 000001001111011000011111010010111100000101101000011110110000010011111011000101111000001011010000111110110000100111010000111110100101111 size=135 m64 032131 031232 023121 021323 013212 012313 size=6 fs 00011001011000111001011001110001011100101100010111 00011001011000101110010110011100010110001110010111 00011001011000101110010110001110010111000101100111 //fs size=50 sim3 01101011 00111010 00101110 //size=8 sim4 0010011010010110010011011001010011010110010011011001011010011011001001101011001010011011001011010011011 0010011010010110010011011001010011010110010011011001011010011011001001101001011001001101011001010011011 0010011010010110010011011001010011010110010011010010110010011011001011010011011001001101011001010011011 //size=103 sim7 001011001011010011011001001101 001011001011010011001011001101 001011001001101100101101001101 100110100101100100110110010110 100110100101100101101001100101 100110100101100101101001101100 //size=30 grt23 00001010111100001110101000111100001010111101000011110001010111000011110100001011110000111010100011110000101111010100001111000101011100001111010100001011110000111010100011110000101011110100001111000101011100001111010000101011110000111010100011110000101111010100001111000101011100001111010000101111000011101010001111000010111101000011110001010111000011110101000010111100001110101000111100001010111101000011110001010111000011110100001011110000111010100011110000101111010100001111000101011100001111010000101011110000111010100011110000101111010000111100010101110000111101000010111100001110101000111100001010111101000011110001010111000011110101000010111100001110101000111100001011110100001111000101011100001111010000101011110000111010100011110000101111010100001111000101011100001111010100001011110000111010100011110000101011110100001111000101011100001111010000101011110000111010100011110000101111010000111100010101110000111101010000101111000011101010001111000010111101010000111100010101110000111101 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00001010111100001110101000111100001010111101000011110001010111000011110100001011110000111010100011110000101111010000111100010101110000111101010000101111000011101010001111000010101111010000111100010101110000111101000010101111000011101010001111000010111101010000111100010101110000111101000010111100001110101000111100001011110100001111000101011100001111010000101011110000111010100011110000101011110100001111000101011100001111010100001011110000111010100011110000101111010100001111000101011100001111010000101111000011101010001111000010101111010000111100010101110000111101000010101111000011101010001111000010111101010000111100010101110000111101010000101111000011101010001111000010101111010000111100010101110000111101000010111100001110101000111100001011110101000011110001010111000011110100001010111100001110101000111100001011110100001111000101011100001111010000101111000011101010001111000010101111010000111100010101110000111101010000101111000011101010001111000010111101010000111100010101110000111101 //size=992 (8/5^+,3)-free 101011000 101000011 010111100 010100111 //size=9 (5/3^+,3)-free grt24 0000110100100111110 0000011011001010111 0000011010100111111 0000010110111110010 //size=19 (3/2^+,4)-free grt25 000000101011111001000000011010101001111111011 000000101010111100010011011101000001111111011 000000010101011111100100101101100010001110111 000000010101011001100111111010001000101110111 000000010011110101010000001100111111101010011 //size=45 (7/5^+,5)-free grt26 00000001010101111111100001000101110111101000000001101101010010011110111 00000000101011111110001100101001011110110000100011111111010101001100111 00000000101011011111111000110011010101000000111111100100010110101100111 00000000101010111111000110010100101110111100001000110110101001001110111 00000000100101011011111111001100101000000001111110101101000010011110111 //size=71 (4/3^+,6)-free grt32 201 122 100 021 //size=3 grt33 10100222112020 10002212102020 01012111102120 00101112202021 00011112122220 //size=14 grt34 010000211122222 002021011111202 001101102212112 001001022211212 000010102122122 //size=15 (79/60^+,4)-free grt42 0012331002113301220311022133 0012231100322011330023110332 0012231002113220311230021332 0011233100321130023311032213 0011223310022113200331102213 //size=28 (21/16^+,2)-free dejean 0120212012102120210 1201020120210201021 2012101201021012102 rt3p 01020121021201210120102101202102012102120210120102101210212 01020120210201210212012101201021202102012021201210201021012 01020120210201210120102101202120121021202102012021201021012 01020120210201021201210201202101201021012102120210201021012 01020120210121020102120121012021020120212012102010212021012 //size=59 lim=11 rt4 exp(m, i, 7, 4, 1) && exp(m, i, 3, 2, 1, 10) && exp(m, i, 10, 7, 1, 300); rt4p 012031021320123021032013023120321301231021320312301321031201302103201231021301203210231201321031230132031021301231032013023120321023 012031021320123021032013023103213012310213203123013210231201302103201230213203102301203210231201321031230213201231032130231201321023 012031021320123021032013023103213012031023013210312013023103201230213203102301203210231201321031230132031021301231032130231201321023 012031021320123021031201321023120321302310320123021320310230132103120130210320123102132031230132102312032130231032013021031201321023 012031021320123021031201302310321301231021320312301321031201302103201230213203102301203213023120132103123021320123103213023120321023 012031021320123021031201302310321301203102301321031201302103201230213203102301203210231201302103123013203102130123103213023120321023 //size=132 lim=10 rt4- 010323 010313 010232 010212 rt4 0120310213201231032130231203210230132031021301231032013023120321023 0120310213201231032130231201321023012032130231032013021031201321023 0120310213201230210320130231203213012310213203123021032013023103213 0120310213201230210312013023103201230213203123013210312013023103213 rt4+ 0120310213201231032130231201321031230213201231021301203210230132031021301231032013023120321023 0120310213201231032130231201321023012031021301231032013021031230132031023012032130231201321023 0120310213201230210312013023103213012310213203123021032012310213012031023013210312013023103213 0120310213201230210312013023103201230213203123013210231203213012310213203123021032013023103213 0120310213201231032130231201321031230132031021301231032013023120321023013203123021320123103213 0120310213201230210312013210230120321302310320130210312301321023120321301231032013023120321023 0120310213201230210312013023103213012310213203123021032012310213012031023013210312013023103213 0120310213201230210312013023103201230213203123013210231203213012310213203123021032013023103213 //aabbcc : f(0) = 50/104 = 25/52 = 0.48076923076923076923 0011100101110100111000110100010110 00111001011101001110001101001110010110 00111001011101001110010110001101 17/34 18/38 15/32 50/104 = 25/52 = 0.48076923076923076923