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sequence HR% full HR%HR%HR%HR%HR%HR%RHRR run 6 percent 0.8181818 percent^3 0.5477084789752603
sequence HR^ full HR^HR^HR^HR^HR^HR^RHR^R^ run 6 percent 0.75 percent^3 0.421875
sequence D5& full DD5&D5&D5&D5&D5& run 5 percent 0.9375 percent^3 0.823974609375
sequence <c_ full <c_<c_<c_<c_< run 4 percent 0.9230769 percent^3 0.7865270941052375
sequence WdS full dWdSWdSWdSWdSdS run 4 percent 0.8 percent^3 0.5120000228881839
sequence ^5& full ^^5&^5&^5&^5&^5^&^ run 4 percent 0.6666667 percent^3 0.2962963227872503
sequence %DM full %DM%DM%DM%DMMD%D%MM run 4 percent 0.6315789 percent^3 0.25193173844676425
sequence dDM full dDMdDMdDMdDMMDDMMdd run 4 percent 0.6315789 percent^3 0.25193173844676425
sequence kD5 full kDkD5kD5kD5kD5Dk5kkk run 4 percent 0.6 percent^3 0.21600002574920757
sequence pTN full pTNTpTTNpNTpTNpTpTNpTNNpNTpTNpTNpTNpTNpTNpT run 5 percent 0.3488372 percent^3 0.04244908797843958
sequence 1O9 full 1OO19O1O91O91O91O99O run 4 percent 0.6 percent^3 0.21600002574920757
sequence %HM full H%HM%HM%HM%HMM%H%MMH run 4 percent 0.6 percent^3 0.21600002574920757
sequence dHM full HdHMdHMdHMdHMMHMMHdd run 4 percent 0.6 percent^3 0.21600002574920757
sequence HR7 full HRHR7HR7HR7HR7HRRHRR7 run 4 percent 0.5714286 percent^3 0.18658894630632428
sequence %Dk full k%Dk%Dk%Dk%DkD%Dk%kkk run 4 percent 0.5714286 percent^3 0.18658894630632428
sequence k1D full k1Dk1Dk1Dk1D11kDDkkkk run 4 percent 0.5714286 percent^3 0.18658894630632428
sequence kdD full kdDkdDkdDkdDkDDkdkkkd run 4 percent 0.5714286 percent^3 0.18658894630632428
sequence R^z full R^R^zR^zR^zR^zzR^RR^R^ run 4 percent 0.54545456 percent^3 0.16228401150406122
sequence HRd full HRdHRdHRdHRdHRHRRHdRRd run 4 percent 0.54545456 percent^3 0.16228401150406122
sequence 1O^ full ^1O^O1O1O^1O^1O^1O^^O^ run 4 percent 0.54545456 percent^3 0.16228401150406122
sequence O|Y full |OY|O|YO|YO|YO|Y||OO|YO|Y run 4 percent 0.48 percent^3 0.11059199258422868
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sequence EL3 full EL3EL3EL3EE run 3 percent 0.8181818 percent^3 0.5477084789752603
sequence VL3 full VL3VL3VL3VV run 3 percent 0.8181818 percent^3 0.5477084789752603
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sequence TN+ full TN+TTTN+NTTNTTNTNN+NT+TN+TN+TN+TNTN+T run 4 percent 0.3243243 percent^3 0.03411446051087105
sequence VL8 full VL8VL8VL8VV8 run 3 percent 0.75 percent^3 0.421875
sequence RpT full RpTTpRTTRpTpTpTpRTpTpTRpTRpTRpTRpTpRTpT run 4 percent 0.30769232 percent^3 0.02913063593653056
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sequence EVL full EVLEVLEVLEVEV run 3 percent 0.6923077 percent^3 0.3318161392515777
sequence c_5 full c_5c_5c_555c_ run 3 percent 0.6923077 percent^3 0.3318161392515777
sequence Dc_ full Dc_Dc_Dc_DDDc_ run 3 percent 0.64285713 percent^3 0.2656705433790609
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sequence c%5 full %c%5c%5c%55%%5c run 3 percent 0.6 percent^3 0.21600002574920757
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sequence cP5 full PcP5cP5cP55P5PcP run 3 percent 0.5625 percent^3 0.177978515625
sequence W:7 full W:7W:7W:7::7:W7: run 3 percent 0.5625 percent^3 0.177978515625
sequence HW7 full HHW7HW7HW7H7HWH7 run 3 percent 0.5625 percent^3 0.177978515625
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sequence D1_ full 1D1_D1_D1_D11DD_ run 3 percent 0.5625 percent^3 0.177978515625
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sequence dDc full dDcdDcdDcdDDDdcd run 3 percent 0.5625 percent^3 0.177978515625
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sequence zD5 full DzD5D5zzD5zD5zD5 run 3 percent 0.5625 percent^3 0.177978515625
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sequence dSE full EddSdSEdSEdSEEdS run 3 percent 0.5625 percent^3 0.177978515625
sequence EVd full EVdddEVdEVdEVEVd run 3 percent 0.5625 percent^3 0.177978515625
sequence dSV full VddSdSVdSVdSVVdS run 3 percent 0.5625 percent^3 0.177978515625
sequence W^5 full ^W^5W^5W^5^5W^5^^ run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence f_5 full ff_5f_5f_5ff5f5f_ run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence W^7 full ^W^7W^7W^77^W^^7^ run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence <cj full <cj<cj<cjjjjj<c<j run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence %W: full %W:%W:%W:%::%:W%: run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence %HW full H%HW%HW%HW%H%HW%H run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence %Hc full H%Hc%Hc%Hc%H%H%Hc run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence W:9 full W:9W:9W:9::9:W99: run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence DW: full DW:DW:DW::D:D:WD: run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence dW: full dW:dW:dW:d:::Wdd: run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence dHW full HdHWdHWdHWdHHWHdd run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence dHc full HdHcdHcdHcdHHHdcd run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence :5& full :5&:5&::5&:5&:5&: run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence P5& full PP5&P5&P5&5&P5PP& run 3 percent 0.5294118 percent^3 0.14838186767177602
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sequence :z& full :z&:&:z:z&:z&:z&: run 3 percent 0.5294118 percent^3 0.14838186767177602
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sequence EVP full EVPPEVPPEVPEVPEVP run 3 percent 0.5294118 percent^3 0.14838186767177602
sequence k_5 full kk_5k_5k_5k5k5kk_k run 3 percent 0.5 percent^3 0.125
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sequence %D< full %D<%D<%D<%DD%D%<< run 3 percent 0.5294118 percent^3 0.14838186767177602
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sequence dD& full dDdD&dD&dD&D&Dd&d run 3 percent 0.5294118 percent^3 0.14838186767177602
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sequence dD< full dD<dD<dD<dDDDd<<d run 3 percent 0.5294118 percent^3 0.14838186767177602
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sequence HW: full HHW:HW:HW::H::HWH: run 3 percent 0.5 percent^3 0.125
sequence PW: full PW:PW:PW:P:::WPPP: run 3 percent 0.5 percent^3 0.125
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sequence Md7 full dMd7Md7Md77MMMMd7d run 3 percent 0.5 percent^3 0.125
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sequence Dk_ full kDk_Dk_Dk_DkDDkkk_k run 3 percent 0.47368422 percent^3 0.10628372221807138
sequence dkW full kdWkdkWdkWdkWkdkkkd run 3 percent 0.47368422 percent^3 0.10628372221807138
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sequence ^HW full H^HW^HW^HW^H^HW^H^^ run 3 percent 0.47368422 percent^3 0.10628372221807138
sequence ^PW full ^PW^PW^PWP^^W^P^PP^ run 3 percent 0.47368422 percent^3 0.10628372221807138
sequence ^W: full ^W:^W:^W:^::^:W^^^: run 3 percent 0.47368422 percent^3 0.10628372221807138
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sequence 7&R full RR7R&7&R7&R7&RRRR&7 run 3 percent 0.47368422 percent^3 0.10628372221807138
sequence R7z full RRz7R7zR7zR7zzRRRR7 run 3 percent 0.47368422 percent^3 0.10628372221807138
sequence f%5 full %ff%5f%5f%5ff5%f%5f run 3 percent 0.47368422 percent^3 0.10628372221807138
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sequence H:% full H%H:%H:%H:%:H:%:H%H: run 3 percent 0.45 percent^3 0.09112499275803584
sequence dH: full HdH:dH:dH:d:H::HHdd: run 3 percent 0.45 percent^3 0.09112499275803584
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sequence %9k full k%k%9k%9k9%9k%9k%9kkk run 3 percent 0.42857143 percent^3 0.07871720351213618
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sequence :|5 full ||:|5|:|5:|:|5:|5:|5|: run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence zMG full GGMzMGGGGzMzMGzMGzMGMG run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence ^&R full R^R^R&^&R^&R^&R^RR^R&^ run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence R+& full R+RR+&&R+&R+&R++RR+R&+ run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence 5R+ full R+RR5+5R+5R+5R++R5R+R+ run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence 5k+ full k+k5+k5k+5k+5k++5k+k+k run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence 5R^ full R^R^R5^5R^5R^5R^R5R^R^ run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence ^k5 full ^k^k5k^5k^5^k5^k5^kk^k run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence R^7 full R^R^7R^7R^7R7^R^RR^R7^ run 3 percent 0.4090909 percent^3 0.06846355987190754
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sequence G91 full 1GG19G1GG91G91G91G9G9G run 3 percent 0.4090909 percent^3 0.06846355987190754
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sequence Hkd full HkdHkdHkdkHdHkHkHdkkkd run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence O9+ full +OO9+OO9O9+O9+O9++9+O+ run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence (:z full (:z((:((:z:z(:z(:z((((: run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence Z:z full :ZzZZ:ZZ:zZ:zZ:z:zZZZZ: run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence H:^ full H^H:^H:^H:^:H:^:H^H^^: run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence ^P: full ^P:^P:^P:P^::^:^P^PP^: run 3 percent 0.4090909 percent^3 0.06846355987190754
sequence HM^ full H^H^MHM^HM^HM^MH^MMH^^ run 3 percent 0.4090909 percent^3 0.06846355987190754
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sequence G^& full ^G^G&GGG^&G^&G^&G^G^&^G run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence G^5 full ^G^G5GGG^5G^5G^5G^G5^^G run 3 percent 0.39130434 percent^3 0.059916164894724025
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sequence HG% full HG%HG%HG%GGHG%HGG%H%GHG run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence HGd full HGdHGdHGdGGHGdHGGHGHdGd run 3 percent 0.39130434 percent^3 0.059916164894724025
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sequence ^1R full R^1R^1R1^1R^1R^1R^RR^R^ run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence j9k full kk9jkj9k9jjj9kj9kj9kkkj run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence R^% full R^%R^%R%^R^%R^%R^%RR^R^ run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence k1O full k1OOk1Ok1Ok1O1O1kOkkOkk run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence k1j full k1k1jk1jk1jj1j1kjkjkkkj run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence +(& full +((+(&((&+(&+(&++((+(&+( run 3 percent 0.375 percent^3 0.052734375
sequence &^( full ^(^((&((^&^(&^(&^((^(&^( run 3 percent 0.375 percent^3 0.052734375
sequence zf( full (fzf((f((fzzf(zf(zf((f(( run 3 percent 0.375 percent^3 0.052734375
sequence Hf^ full H^Hf^fHf^Hf^Hf^fHf^Hf^^ run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence YO^ full ^OY^OYOYO^YO^YO^O^^YO^Y run 3 percent 0.39130434 percent^3 0.059916164894724025
sequence %HZ full H%HZZ%HZZ%ZHZ%HZ%HZ%ZHZZ run 3 percent 0.375 percent^3 0.052734375
sequence D(: full (D:(D(:((D::D(:D(:D((((: run 3 percent 0.375 percent^3 0.052734375
sequence ^1G full ^1G^G1G1GG^1G^1G^1G^G^^G run 3 percent 0.375 percent^3 0.052734375
sequence 1O| full |1O|O|1O|1O|1O||1|O1O|O| run 3 percent 0.375 percent^3 0.052734375
sequence 9fG full GfGf9fGGG9fG9fG9fGf9G9fG run 3 percent 0.375 percent^3 0.052734375
sequence DTz full TTDTzTDTTDTzTTzDTzDTzDTTTTT run 3 percent 0.33333334 percent^3 0.03703704034840629
sequence G9+ full G+G9+GGG9G9+G9+G9++G9+G+ run 3 percent 0.375 percent^3 0.052734375
sequence Rk% full Rk%Rk%Rk%kR%Rk%Rk%RRkkRk run 3 percent 0.375 percent^3 0.052734375
sequence k1. full k1.k1.k1..k11..1kkk.k..k run 3 percent 0.375 percent^3 0.052734375
sequence Rk1 full Rk1Rk1Rk1k1R1R1kRkRRkkRk run 3 percent 0.375 percent^3 0.052734375
sequence dRk full RkdRkdRkdkRdRkRkRdRkkRkd run 3 percent 0.375 percent^3 0.052734375
sequence EpP full EpPpPppEPppPppppEpPEpPEpPp run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence R(& full R(R(R(&((&R(&R(&RR((R(R&( run 3 percent 0.36 percent^3 0.046656005561828834
sequence OY. full OY.O.YOY.OY.OY.O.O.YO.Y. run 3 percent 0.375 percent^3 0.052734375
sequence HRO full HROHROHROOHORHROOHRRHROR run 3 percent 0.375 percent^3 0.052734375
sequence ^kH full H^kH^kHk^kH^H^kH^kH^kk^k run 3 percent 0.375 percent^3 0.052734375
sequence R^P full R^PR^PR^PRP^R^R^RPR^PRP^ run 3 percent 0.375 percent^3 0.052734375
sequence ^+O full ^+O^O+OO^O^+O^+O^++^+O^+ run 3 percent 0.375 percent^3 0.052734375
sequence RG% full RG%RG%RG%GGGR%RGG%R%GRRRG run 3 percent 0.36 percent^3 0.046656005561828834
sequence %Jk full k%Jk%JkJ%Jk%Jk%Jk%JJJkkJk run 3 percent 0.36 percent^3 0.046656005561828834
sequence 9kG full kGGk9kGGG9kG9G9kG9kG9kkGk run 3 percent 0.36 percent^3 0.046656005561828834
sequence RGd full RGdRGdRGdGGGRdRGGRGRdRRGd run 3 percent 0.36 percent^3 0.046656005561828834
sequence :|j full ||:|j|:j|:|j:|j:|jj:j||:j run 3 percent 0.36 percent^3 0.046656005561828834
sequence T:z full TT:TzTT:TT:zTT:zT:zT:zTTTTT: run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence ^MG full ^G^GMMGGG^GM^MG^MG^MGM^^G run 3 percent 0.36 percent^3 0.046656005561828834
sequence YOG full GOYOGYOGYOGGYOGYGOOGGYOGY run 3 percent 0.36 percent^3 0.046656005561828834
sequence HRk full HRkHRkHRkkHRHRkHRkRHRkkRk run 3 percent 0.36 percent^3 0.046656005561828834
sequence R^+ full R^+R^R+^R^+R^+R^++RR^+R^+ run 3 percent 0.36 percent^3 0.046656005561828834
sequence ROf full ROfROfROfOOfRfROfOfRRRfOR run 3 percent 0.36 percent^3 0.046656005561828834
sequence j^k full ^k^kjkj^k^jjj^kj^kj^kk^kj run 3 percent 0.36 percent^3 0.046656005561828834
sequence Z9k full kZZkZ9kZ9kZ9ZZ9k9ZkZZ9kkZk run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence GJD full GDGJDJGJGJDGGDGJDGJDGJJJGJ run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence Z:j full :ZZZj:ZjZ:jZ:jZ:jj:ZjZZZ:j run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence :f( full (f:f((f:((f::f(:f(:f((f((: run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence YO( full (OYO(YO(YO((YOY(OO(((Y(O(Y run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence kp< full pkp<kp<kp<kppppkppkppk<pk<pk run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence HRG full HRGHRGHRGGGHGRHRGGHRGRHRRG run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence kYJ full kYJkYJkYJJYkYJkJkJJJkYkJYk run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence G^+ full ^G+^G+GGG^G^+G^+G^++G^+^G+ run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence G^f full ^Gf^GffGGG^fG^fG^fGf^Gf^^G run 3 percent 0.34615386 percent^3 0.041477017406447214
sequence Tzf full TTfTzfTTfTTfzTTzfTzfTzfTTfTTT run 3 percent 0.31034482 percent^3 0.029890520853517216
sequence (JD full (DJ(DJ(J((JDD(JD(JD(J(JJ(J( run 3 percent 0.33333334 percent^3 0.03703704034840629
sequence DT: full TTD:TTDT:TDT:TT:DT:DT:DTTTTT: run 3 percent 0.31034482 percent^3 0.029890520853517216
sequence Jk+ full k+Jk+JkJJk+Jk+Jk++JJJk+kJ+k run 3 percent 0.33333334 percent^3 0.03703704034840629
sequence .OG full GO.OG.OG.OGG.OG.GO.OGG.O.G. run 3 percent 0.33333334 percent^3 0.03703704034840629
sequence |.O full |O.|O|.O|.O|.O|||.O.O|.O|.. run 3 percent 0.33333334 percent^3 0.03703704034840629
sequence ^kG full ^kG^GkkGGG^kG^G^kG^kG^kk^Gk run 3 percent 0.33333334 percent^3 0.03703704034840629
sequence Tj9 full TTTT9jTTj9T9TjTjTj9Tj9Tj9TTTTj run 3 percent 0.3 percent^3 0.027000003218650946
sequence (YJ full (YJ(YJ(YJ((JYY(J(J(J(JJY(J(Y run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence :|( full |(|:|((|:(|(:|:|(:|(:|(((|(: run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence |Z: full ||:ZZ|Z|:Z|Z:|Z:|Z:|:Z|ZZ|Z: run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence OpY full pOpYOpYOpYOYpOppYpOpOpppYpOpY run 3 percent 0.31034482 percent^3 0.029890520853517216
sequence (R+ full R+(R(R+(((R+(R+(R++R((R+(R+( run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence +(k full k+(k(+(k((k+(k+(k++((k+(k+(k run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence .O( full (O.O(.O(.O((.O(.O.O(((.(O.(. run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence kZO full kOOZZkZOkZOkZOZZOkOZkZZkOkZk run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence kZj full kZZkZjkZjkZjZjZjkjZkjZZkkZkj run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence TGz full TGTGTzTTGTGGTGzTTzTGzTGzTGTTTGT run 3 percent 0.29032257 percent^3 0.02447047547320744
sequence JO| full |O|OJ|JO|JO|JO|||OJOJ|JJJO|J run 3 percent 0.32142857 percent^3 0.03320881792238261
sequence NkP full PkNkPNNkPNkPNNNNkNkNPNkPNkPNk run 3 percent 0.31034482 percent^3 0.029890520853517216
sequence +(J full +(J(+J(J((J+(J+(J++(J(JJ+(J+( run 3 percent 0.31034482 percent^3 0.029890520853517216
sequence ZO| full |O|OZZ|ZO|ZO|ZO|Z|Z|OOZ|ZZO|Z run 3 percent 0.31034482 percent^3 0.029890520853517216
sequence Z|j full ||ZZ|Zj|Zj|Z|jZ|jZ|jjZj|ZZ|Zj run 3 percent 0.31034482 percent^3 0.029890520853517216
sequence Ppk full pPkpkPpkpPkppPppkppkpPpkPpkPpk run 3 percent 0.3 percent^3 0.027000003218650946
sequence kpY full pkpYkpYkpYYkpppYpkppkppkYpkpYk run 3 percent 0.3 percent^3 0.027000003218650946
sequence +T: full T+T:TT+T:TT:TT:+T:+T:+T+T+TT+T: run 3 percent 0.29032257 percent^3 0.02447047547320744
sequence Tf: full TTf:TfTTf:TTf:TT:fT:fT:fTTfTTT: run 3 percent 0.29032257 percent^3 0.02447047547320744
sequence DTG full TGTDGTTDTGTGDGTGTTDTGDTGDTGTTTGT run 3 percent 0.28125 percent^3 0.022247314453125
sequence DTJ full TTDTJTDJTJTJDTTTDTJDTJDTJJTJTTJT run 3 percent 0.28125 percent^3 0.022247314453125
sequence G9T full TGTGTT9TGTGG9TG9TTTG9TG9TG9TTTGT run 3 percent 0.28125 percent^3 0.022247314453125
sequence :|p full p|p|:|p|p:|pp:|p:|p:|p:p|ppp|p: run 3 percent 0.29032257 percent^3 0.02447047547320744
sequence JpY full ppYJpYJpYJJYpppYpJpJpJpJJpYpJpY run 3 percent 0.29032257 percent^3 0.02447047547320744
sequence k(J full k(Jk(J(kJ((Jk(Jk(Jk(J(JJk(kJ(k run 3 percent 0.3 percent^3 0.027000003218650946
sequence kpO full pkOpOkpOkpOkpOpppOkpOpkppkpOkpk run 3 percent 0.29032257 percent^3 0.02447047547320744
sequence RPT full RPTTRTPTRTTPTRPTTTRTRTRPTRPTRPTT run 3 percent 0.28125 percent^3 0.022247314453125
sequence fTj full TTfTfTjTfTjTfTjTjfTjfTjfTjTfTTTj run 3 percent 0.28125 percent^3 0.022247314453125
sequence (pY full p(pY(pY(pY((YpppYp(p(p(p(pY(pp(Y run 3 percent 0.28125 percent^3 0.022247314453125
sequence :p( full p(p:(p(p:((pp:p:p(:p(:p(p(p(pp(: run 3 percent 0.28125 percent^3 0.022247314453125
sequence jJp full ppJjpJpJjJppjppjjJpjJpjJpJJppJpj run 3 percent 0.28125 percent^3 0.022247314453125
sequence O|p full p|Op|O|pO|pO|pOp|p|p|OpOp|pppO|p run 3 percent 0.28125 percent^3 0.022247314453125
sequence YT| full |TTY|T|TYT|YT|YT|TTY|T|TT|TTY|TYT run 3 percent 0.27272728 percent^3 0.020285501438007652
sequence pO( full p(OpO(pO(pO((pOppp(OpO(p(p(p(pOp( run 3 percent 0.27272728 percent^3 0.020285501438007652
sequence Jkp full pkpJkpJkpJJkppppJkpJpkJpJJpkpkJpk run 3 percent 0.27272728 percent^3 0.020285501438007652
sequence pPN full pPNpPNpNpPNppPNpNNpNpNpNpPNpPNpPNp run 3 percent 0.2647059 percent^3 0.018547733458972003
sequence NpY full pNpYNpYNpYYNppNpYNNpNpNpNpNpNYpNpY run 3 percent 0.2647059 percent^3 0.018547733458972003
sequence GTf full TGTfGTfTTfGTGGTfGTTfTGfTGfTGTfTTGT run 3 percent 0.2647059 percent^3 0.018547733458972003
sequence TjJ full TTTJTjJTJTjJTTjTjTjJTjJTjJJTJTTJTj run 3 percent 0.2647059 percent^3 0.018547733458972003
sequence pGJ full pGpGJpJpGJGJGppGppGJpGJpGJpJJppGJp run 3 percent 0.2647059 percent^3 0.018547733458972003
sequence PTN full PTNTTPTNNTTPNTPTNTNNNTTNTNPTNPTNPTNT run 3 percent 0.25 percent^3 0.015625
sequence |pZ full p|p|ZZ|Zp|pZ|Zpp|pZ|pZ|pZp|ZpZpp|Zp run 3 percent 0.25714287 percent^3 0.017002918323344624
sequence pT: full pTTp:TTpTp:TpTp:TpT:pT:pT:pTpTpTpTpT: run 3 percent 0.24324325 percent^3 0.014392040673006975
sequence pPT full pPTTpTPTpTpTPpTpPTpTpTpTpTpPTpPTpPTpT run 3 percent 0.24324325 percent^3 0.014392040673006975
sequence TGJ full TGTGTJTJTGJTGJGTGTTTGJTGJTGJJTJTTGJT run 3 percent 0.25 percent^3 0.015625
sequence JT| full |TT|TJ|TJT|JT|JT|TT|T|JTJT|JJTJT|TJT run 3 percent 0.25 percent^3 0.015625
sequence Np. full pNp.N.pNp..NppNpNNpN..pNpNpNp.Np.Np. run 3 percent 0.25 percent^3 0.015625
sequence RNp full RpNpRRNpNpNppRNpNNpNRpNRpNRpRNpNpRNp run 3 percent 0.25 percent^3 0.015625
sequence pkN full pkNpkNpNkpNkppNpNNpNkpNpkNpNpkNpkNpk run 3 percent 0.25 percent^3 0.015625
sequence ZT| full |TT|TZZ|TZT|ZT|ZT|TZT|ZT|TZT|ZZTT|TZT run 3 percent 0.24324325 percent^3 0.014392040673006975
sequence Tjp full pTTpTTjpTpTjpTpTjpTpjTjpTjpTjpTpTpTpTj run 3 percent 0.23684211 percent^3 0.013285465277258922
sequence NZp full pNpZZZNpNpZNZppNpZNNpNZpNZpNZpZNpNpZNp run 3 percent 0.23684211 percent^3 0.013285465277258922
sequence TJp full pTTpTJTpJTpJTJpTpTpTpTJpTJpTJpJTJpTpTJpT run 3 percent 0.225 percent^3 0.01139062409475448
sequence pTG full pTGTpGTTpTpGTGGpTpGTpTpTGpTGpTGpTpTpTGpT run 3 percent 0.225 percent^3 0.01139062409475448
run 3 val 32.31180516359732 add 64.62361032719464 exp 1
run 4 val 4.410035138740331 add 17.640140554961324 exp 2
run 5 val 0.8664236973534396 add 6.931389578827517 exp 3
run 6 val 0.9695834789752603 add 15.513335663604165 exp 4
104.70847612458765


Although semi mentally unable to work hard on the 340 right now, I have been watching and wondering how the cycles and pivots relate to each other. Below are some spreadsheets showing where cycles start and stop depending on the count of consecutive alternations. Pivots are outlined in blue.

I count ABABA as 4 consecutive alternations for example. So I start with 4 consecutive alternations, and go to 10. Some of the cycles stop on pivot positions. Meaning that if I have ABABAA, the second to last A is where the stop position is, not the last A because that is not part of the cycle.







Some of the longest cycles end on the horizontal pivot positions, meaning that the cycles continued to and including the pivots. Then after the pivots, there was no more cycle. Scroll up and down the spreadsheets to see.

The numbers in the cells show how many cycles at the designated count of consecutive alternations start or stop at that position, and the cells are shaded conditioned on count.

Also, position 234, the axis of the rightmost pivot, is the last position for quite a few cycles. 234 is a multiplier of 13, a number discussed in the coincidence count thread because there are some period 26 and 39 bigram repeats that repeat at a spacing of 78. All multipliers of 13. The axis of the leftmost pivot is of course also a multiplier of 13 because the pivots are on a period of 39. Very strange!

EDIT: The count of cycle stop and starts shown is for the designated count of consecutive alternations and higher. So, if the designated count of consecutive alternations is 4, then the numbers show 4 and above. If the count is 5, then the numbers show 5 and above. So, the one cycle with 10 consecutive alternations that stops at position EDIT: 192 is shown on all of the spreadsheets.

The 6th highest scoring L=2 cycle, RKRKRKRKRKR, stops on a pivot position, below.

Very interesting examination, smokie. Makes me wonder if some operation involving the pivots, when done in reverse, would greatly improve the cycle scores.

Very interesting smokie,

I've noted a possible connection between the pivots and the encoding a couple of times before but don't know what to make of it. Below is a post of me on the matter from the other thread. I ran more tests back then and my conclusion was that when removal of fragments (various sizes) is combined with measuring the encoding (for example with my m_2s_cycles, derived from smokie's 2 symbol cycle system) it often points to the pivots as best options for removal.

Jarlve wrote:I've been looking at the encoding again and ran all combinations of removing 2 rows from the cipher and scored the encoding. The highest peak occured while removing rows 12 and 14 (pivot rows). Then ran all combinations of removing 2 columns from the cipher. The highest peak occured while removing column 8 and 13 (pivot columns). Could anyone confirm this find?

doranchak wrote:Very interesting examination, smokie. Makes me wonder if some operation involving the pivots, when done in reverse, would greatly improve the cycle scores.

I think the same but how? Could the extra physical gap between row 12 and 13 point to such an operation?

smokie treats wrote:Also, position 234, the axis of the rightmost pivot, is the last position for quite a few cycles. 234 is a multiplier of 13, a number discussed in the coincidence count thread because there are some period 26 and 39 bigram repeats that repeat at a spacing of 78. All multipliers of 13. The axis of the leftmost pivot is of course also a multiplier of 13 because the pivots are on a period of 39. Very strange!

It is very strange.

I'm not sure if it was brought up in the coincidence thread but there seems to be a relation between (untransposed) periodical unigram repeats and kasiski examination offset counts. For instance, in the 340 periodical unigram repeats peak at 26 and kasiski offsets peak at 78 and 262. In the 408 periodical unigram repeats peak at 49 and kasiski offsets peaks at 49 and 359.

The periodical unigram repeat peak seems to be the determining base factor for the kasiski offset peaks. For example smokie1a has a periodical unigram repeat peak at 20 and kasiski offsets peak very highly at 120 and 220.

Smokie,

You just gave me an idea. You said that the axis point of the rightmost pivot is a multiplier of 13. But actually the axes of both pivots are multipliers of 39. First pivot is then 195 / 39 = 5. Second pivot is 234 / 39 = 6. Based on that they follow up on eachother: 5, 6.

Could that be something or is my nose too short. Why would it be that exactly both pivot axes points are multipliers of 39, coincidence?

doranchak,

Thanks for displaying the L2 and L3 stats for my cipher. The 340 is an uncanny collection of encoding stats. Perhaps your cipher type identification project will be able to shed more light on it.

Jarlve wrote:Smokie,

You just gave me an idea. You said that the axis point of the rightmost pivot is a multiplier of 13. But actually the axes of both pivots are multipliers of 39. First pivot is then 195 / 39 = 5. Second pivot is 234 / 39 = 6. Based on that they follow up on eachother: 5, 6.

Could that be something or is my nose too short. Why would it be that exactly both pivot axes points are multipliers of 39, coincidence?

Wow that is very interesting. I counted going RLTB, LRBT and RLBT and did not find exact multipliers of 29 or 39. Maybe coincidence, maybe not. I think it is cool that we found another interesting fact about the pivots.