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["Additional file 3 The duplication model and calculation of Ka and Ks ratios of duplicated HrGRAS gene pairs"]
["Gene pairs(Gene ID)","Gene pairs(Gene name)","Ka","Ks","Ka/Ks","Duplication Type","Selection Type"]
["La1g1496.1 vs La3g1251.1","HrGRAS1 vs HrGRAS22",{"v":0.314616048,"d":"0.3146"},{"v":2.771540173,"d":"2.7715"},{"v":0.113516683,"d":"0.1135"},"segmental","Purifying"]
["La1g1496.1 vs La12g3046.1","HrGRAS1 vs HrGRAS60",{"v":0.100605651,"d":"0.1006"},{"v":0.468072948,"d":"0.4681"},{"v":0.214935837,"d":"0.2149"},"segmental","Purifying"]
["La2g2295.1 vs La3g1251.1","HrGRAS11 vs HrGRAS22",{"v":0.086776089,"d":"0.0868"},{"v":0.481827911,"d":"0.4818"},{"v":0.18009768,"d":"0.1801"},"segmental","Purifying"]
["La2g2295.1 vs La12g3046.1","HrGRAS11 vs HrGRAS60",{"v":0.312460352,"d":"0.3125"},{"v":2.065692516,"d":"2.0657"},{"v":0.151261792,"d":"0.1513"},"segmental","Purifying"]
["La3g0366.1 vs La12g2664.1","HrGRAS17 vs HrGRAS59",{"v":0.437102569,"d":"0.4371"},{"v":1.703164639,"d":"1.7032"},{"v":0.256641407,"d":"0.2566"},"segmental","Purifying"]
["La3g0366.1 vs La10g2447.1","HrGRAS17 vs HrGRAS43",{"v":0.426861212,"d":"0.4269"},{"v":1.899404141,"d":"1.8994"},{"v":0.224734275,"d":"0.2247"},"segmental","Purifying"]
["La1g2468.1 vs La11g2100.1","HrGRAS2 vs HrGRAS52",{"v":0.570668417,"d":"0.5707"},{"v":1.825773212,"d":"1.8258"},{"v":0.312562597,"d":"0.3126"},"segmental","Purifying"]
["La3g1251.1 vs La12g3046.1","HrGRAS22 vs HrGRAS60",{"v":0.298177242,"d":"0.2982"},{"v":2.488042068,"d":"2.4880"},{"v":0.119844132,"d":"0.1198"},"segmental","Purifying"]
["La4g0253.1 vs La12g2664.1","HrGRAS24 vs HrGRAS59",{"v":0.410444522,"d":"0.4104"},{"v":1.542580594,"d":"1.5426"},{"v":0.26607655,"d":"0.2661"},"segmental","Purifying"]
["La4g0253.1 vs La10g2447.1","HrGRAS24 vs HrGRAS43",{"v":0.416124079,"d":"0.4161"},{"v":1.626564677,"d":"1.6266"},{"v":0.255830023,"d":"0.2558"},"segmental","Purifying"]
["La5g0050.1 vs La12g1944.1","HrGRAS27 vs HrGRAS57",{"v":0.413482776,"d":"0.4135"},{"v":2.297677975,"d":"2.2977"},{"v":0.1799568,"d":"0.1800"},"segmental","Purifying"]
["La5g0050.1 vs La11g1552.1","HrGRAS27 vs HrGRAS50",{"v":0.110324137,"d":"0.1103"},{"v":0.428616782,"d":"0.4286"},{"v":0.257395749,"d":"0.2574"},"segmental","Purifying"]
["La5g0883.1 vs La12g2664.1","HrGRAS29 vs HrGRAS59",{"v":0.395168704,"d":"0.3952"},{"v":1.730885822,"d":"1.7309"},{"v":0.228304316,"d":"0.2283"},"segmental","Purifying"]
["La5g0884.1 vs La10g2447.1","HrGRAS30 vs HrGRAS43",{"v":0.417496094,"d":"0.4175"},{"v":2.059308633,"d":"2.0593"},{"v":0.202736048,"d":"0.2027"},"segmental","Purifying"]
["La5g0884.1 vs La12g2184.1","HrGRAS30 vs HrGRAS58",{"v":0.45492492,"d":"0.4549"},{"v":1.44406111,"d":"1.4441"},{"v":0.315031626,"d":"0.3150"},"segmental","Purifying"]
["La1g3295.1 vs La6g1430.1","HrGRAS4 vs HrGRAS35",{"v":0.067605436,"d":"0.0676"},{"v":0.276983256,"d":"0.2770"},{"v":0.244077701,"d":"0.2441"},"segmental","Purifying"]
["La10g2447.1 vs La12g2184.1","HrGRAS43 vs HrGRAS58",{"v":0.396056999,"d":"0.3961"},{"v":1.425039234,"d":"1.4250"},{"v":0.277927084,"d":"0.2779"},"segmental","Purifying"]
["La10g2447.1 vs La11g2678.1","HrGRAS43 vs HrGRAS53",{"v":0.411359138,"d":"0.4114"},{"v":1.892112644,"d":"1.8921"},{"v":0.217407319,"d":"0.2174"},"segmental","Purifying"]
["La10g3067.1 vs La11g0489.1","HrGRAS46 vs HrGRAS48",{"v":0.080519608,"d":"0.0805"},{"v":0.410795016,"d":"0.4108"},{"v":0.196009212,"d":"0.1960"},"segmental","Purifying"]
["La2g0219.1 vs La5g1410.1","HrGRAS5 vs HrGRAS31",{"v":0.145535813,"d":"0.1455"},{"v":0.663576381,"d":"0.6636"},{"v":0.219320363,"d":"0.2193"},"segmental","Purifying"]
["La11g2678.1 vs La12g2664.1","HrGRAS53 vs HrGRAS59",{"v":0.405490597,"d":"0.4055"},{"v":1.862794434,"d":"1.8628"},{"v":0.21767866,"d":"0.2177"},"segmental","Purifying"]
["La12g2184.1 vs La12g2664.1","HrGRAS58 vs HrGRAS59",{"v":0.369914879,"d":"0.3699"},{"v":1.408169909,"d":"1.4082"},{"v":0.262691936,"d":"0.2627"},"segmental","Purifying"]
["La2g0234.1 vs La5g1421.1","HrGRAS6 vs HrGRAS32",{"v":0.13937002,"d":"0.1394"},{"v":0.621957406,"d":"0.6220"},{"v":0.224082902,"d":"0.2241"},"segmental","Purifying"]
["La2g0986.1 vs La6g1015.1","HrGRAS10 vs HrGRAS34",{"v":0.076016462,"d":"0.0760"},{"v":0.335780024,"d":"0.3358"},{"v":0.226387682,"d":"0.2264"},"WGD","Purifying"]
["La2g2617.1 vs La10g1368.1","HrGRAS12 vs HrGRAS41",{"v":0.100169174,"d":"0.1002"},{"v":0.334645856,"d":"0.3346"},{"v":0.299328895,"d":"0.2993"},"WGD","Purifying"]
["La2g2810.1 vs La12g1580.1","HrGRAS14 vs HrGRAS56",{"v":0.077700528,"d":"0.0777"},{"v":0.437153773,"d":"0.4372"},{"v":0.177741867,"d":"0.1777"},"WGD","Purifying"]
["La3g0366.1 vs La11g2678.1","HrGRAS17 vs HrGRAS53",{"v":0.134836837,"d":"0.1348"},{"v":0.525315878,"d":"0.5253"},{"v":0.256677636,"d":"0.2567"},"WGD","Purifying"]
["La3g0366.1 vs La5g0884.1","HrGRAS17 vs HrGRAS30",{"v":0.142268194,"d":"0.1423"},{"v":0.49018436,"d":"0.4902"},{"v":0.290234054,"d":"0.2902"},"WGD","Purifying"]
["La3g0367.1 vs La5g0883.1","HrGRAS18 vs HrGRAS29",{"v":0.283805873,"d":"0.2838"},{"v":1.16910863,"d":"1.1691"},{"v":0.242754065,"d":"0.2428"},"WGD","Purifying"]
["La3g0367.1 vs La4g0253.1","HrGRAS18 vs HrGRAS24",{"v":0.070945533,"d":"0.0709"},{"v":0.299931725,"d":"0.2999"},{"v":0.236538941,"d":"0.2365"},"WGD","Purifying"]
["La3g1085.1 vs La7g1104.1","HrGRAS19 vs HrGRAS38",{"v":0.095367627,"d":"0.0954"},{"v":0.410735112,"d":"0.4107"},{"v":0.232187666,"d":"0.2322"},"WGD","Purifying"]
["La3g1093.1 vs La7g1123.1","HrGRAS20 vs HrGRAS39",{"v":0.071113614,"d":"0.0711"},{"v":0.35671186,"d":"0.3567"},{"v":0.199358703,"d":"0.1994"},"WGD","Purifying"]
["La3g1919.1 vs La10g0744.1","HrGRAS23 vs HrGRAS40",{"v":0.115206158,"d":"0.1152"},{"v":0.4959106,"d":"0.4959"},{"v":0.232312352,"d":"0.2323"},"WGD","Purifying"]
["La4g0253.1 vs La5g0883.1","HrGRAS24 vs HrGRAS29",{"v":0.300002863,"d":"0.3000"},{"v":1.09398726,"d":"1.0940"},{"v":0.274228845,"d":"0.2742"},"WGD","Purifying"]
["La1g2600.1 vs La4g1226.1","HrGRAS3 vs HrGRAS26",{"v":0.06862924,"d":"0.0686"},{"v":0.501053689,"d":"0.5011"},{"v":0.136969832,"d":"0.1370"},"WGD","Purifying"]
["La5g0884.1 vs La11g2678.1","HrGRAS30 vs HrGRAS53",{"v":0.085245121,"d":"0.0852"},{"v":0.296454989,"d":"0.2965"},{"v":0.287548276,"d":"0.2875"},"WGD","Purifying"]
["La10g2447.1 vs La12g2664.1","HrGRAS43 vs HrGRAS59",{"v":0.075609352,"d":"0.0756"},{"v":0.326886042,"d":"0.3269"},{"v":0.231301867,"d":"0.2313"},"WGD","Purifying"]
["La2g0971.1 vs La6g1001.1","HrGRAS9 vs HrGRAS33",{"v":0.096512011,"d":"0.0965"},{"v":0.42427266,"d":"0.4243"},{"v":0.227476386,"d":"0.2275"},"WGD","Purifying"]
["La5g0883.1 vs La5g0884.1","HrGRAS29 vs HrGRAS30",{"v":0.395858378,"d":"0.3959"},{"v":2.00157767,"d":"2.0016"},{"v":0.197773178,"d":"0.1978"},"tandem","Purifying"]
["La11g1553.1 vs La11g1552.1","HrGRAS51 vs HrGRAS50",{"v":0.124425942,"d":"0.1244"},{"v":0.34383182,"d":"0.3438"},{"v":0.361880243,"d":"0.3619"},"tandem","Purifying"]
["La2g0768.1 vs La2g0769.1","HrGRAS7 vs HrGRAS8","NaN","NaN","NaN","tandem","—"]

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