BiodiversityR CAPdiscrim error
Hi Kendra, I assume you already have figured that out, but if not: ?capscale indicates this might be your friend: capscale(..., add=TRUE). See also: https://stat.ethz.ch/pipermail/r-help/2004-December/062595.html and: https://stat.ethz.ch/pipermail/r-help/2013-December/364510.html Cheers, arne
On 20.02.2014 19:22, Mitchell, Kendra wrote:
Ah, I thought z.om was a factor but it was a character. Now it works though I'm still getting the negative eigenvalues warning. Thanks for your help Kendra p.s. Sorry I thought I had copied the list.
________________________________________
From: Arne Erpenbach [arne.erpenbach at gmx.de]
Sent: Thursday, February 20, 2014 5:19 AM
To: Mitchell, Kendra
Cc: r-sig-ecology
Subject: Re: [R-sig-eco] BiodiversityR CAPdiscrim error
Hi Kendra, (sorry I got your name wrong, missed the comma.)
[cc'ing the list: better to keep stuff there, so others could comment.]
Ah, that's the trouble: your matrix is a matrix, not a dist object.
Assuming you do know which distance metric is applied, and you chose the
right one, you could simply use:
MD.2.tyc <- as.dist(MD.2.tyc)
# As you did not provide the environmental data: random factors.
MD.2.env <- as.data.frame(c(rep("a", 10), rep("b", 3), rep("c", 21) ))
names(MD.2.env) <- "z.om"
# And there you go:
CAPdiscrim(MD.2.tyc~z.om, data=MD.2.env, axes=2, m=0)
HTH.
Regards,
arne
On 19.02.2014 19:30, Mitchell, Kendra wrote:
Pretty much the same error just different number of negative eigenvalues
CAPdiscrim(MD.2.tyc~MD.2.env$z.om, data=MD.2.env$z.om, axes=2, m=0)
Error in y[, group] : incorrect number of dimensions
In addition: Warning message:
In cmdscale(distmatrix, k = nrow(x) - 1, eig = T, add = F) :
only 29 of the first 33 eigenvalues are > 0
dput(MD.2.tyc)
structure(c(0, 0.530104, 0.856862, 0.962188, 0.763469, 0.847752,
0.784871, 0.981281, 0.994992, 0.852796, 0.885253, 0.892708, 0.801034,
0.896041, 0.790542, 0.905549, 0.91111, 0.89411, 0.976961, 0.997093,
0.784175, 0.903232, 0.93154, 0.801226, 0.792943, 0.647447, 0.895218,
0.943309, 0.668771, 0.764815, 0.739676, 0.882644, 0.870289, 0.944295,
0.530104, 0, 0.848909, 0.96033, 0.714506, 0.800896, 0.741563,
0.980028, 0.997491, 0.846717, 0.878128, 0.857846, 0.725213, 0.870564,
0.765767, 0.877561, 0.878336, 0.852742, 0.986353, 0.999126, 0.822573,
0.897483, 0.955899, 0.828633, 0.780688, 0.745419, 0.823416, 0.943878,
0.708038, 0.723605, 0.774255, 0.873241, 0.838629, 0.944567, 0.856862,
0.848909, 0, 0.982097, 0.508784, 0.92577, 0.909307, 0.973827,
0.996873, 0.942398, 0.837959, 0.964803, 0.942049, 0.970062, 0.921683,
0.965747, 0.865674, 0.96621, 0.970599, 0.998697, 0.95216, 0.857683,
0.946018, 0.930482, 0.927475, 0.913383, 0.792996, 0.982603, 0.910284,
0.917016, 0.920965, 0.962759, 0.94806, 0.981199, 0.962188, 0.96033,
0.982097, 0, 0.967646, 0.887319, 0.88916, 0.992741, 0.998424,
0.949568, 0.986832, 0.969923, 0.966289, 0.952887, 0.958222, 0.914256,
0.970642, 0.949878, 0.997484, 0.99922, 0.972913, 0.987636, 0.991347,
0.970548, 0.958918, 0.969111, 0.987843, 0.991885, 0.948502, 0.950591,
0.959468, 0.972857, 0.960665, 0.984128, 0.763469, 0.714506, 0.508784,
0.967646, 0, 0.830261, 0.747783, 0.962011, 0.997433, 0.86467,
0.7221, 0.926794, 0.850157, 0.898435, 0.884836, 0.914703, 0.767928,
0.895792, 0.974094, 0.998723, 0.780709, 0.75797, 0.911907, 0.887166,
0.884969, 0.845558, 0.717217, 0.951557, 0.746902, 0.729877, 0.811324,
0.893765, 0.888216, 0.949748, 0.847752, 0.800896, 0.92577, 0.887319,
0.830261, 0, 0.163985, 0.97472, 0.998901, 0.725018, 0.92645,
0.87806, 0.86715, 0.780106, 0.792507, 0.490193, 0.819201, 0.651105,
0.996154, 0.998477, 0.908053, 0.934804, 0.9861, 0.866673, 0.79856,
0.857432, 0.940762, 0.930323, 0.697156, 0.752768, 0.816972, 0.894443,
0.812859, 0.838411, 0.784871, 0.741563, 0.909307, 0.88916, 0.747783,
0.163985, 0, 0.970635, 0.998712, 0.743737, 0.902507, 0.895685,
0.849876, 0.794102, 0.82606, 0.572111, 0.804792, 0.704899, 0.997323,
0.999367, 0.757292, 0.912523, 0.988927, 0.849474, 0.833946, 0.84092,
0.932403, 0.908419, 0.617524, 0.643687, 0.752857, 0.873461, 0.839341,
0.806423, 0.981281, 0.980028, 0.973827, 0.992741, 0.962011, 0.97472,
0.970635, 0, 0.997652, 0.963377, 0.967037, 0.987938, 0.977347,
0.990068, 0.983188, 0.987835, 0.975008, 0.987181, 0.996529, 0.999108,
0.978355, 0.970359, 0.991946, 0.98055, 0.983813, 0.985231, 0.965446,
0.995442, 0.977301, 0.975595, 0.981167, 0.987265, 0.97235, 0.983309,
0.994992, 0.997491, 0.996873, 0.998424, 0.997433, 0.998901, 0.998712,
0.997652, 0, 0.997626, 0.996517, 0.995838, 0.993279, 0.998833,
0.995305, 0.998685, 0.999235, 0.999336, 0.996906, 0.509494, 0.997247,
0.998252, 0.996533, 0.9975, 0.99536, 0.996573, 0.998077, 0.999231,
0.998941, 0.998811, 0.999415, 0.998226, 0.997303, 0.999218, 0.852796,
0.846717, 0.942398, 0.949568, 0.86467, 0.725018, 0.743737, 0.963377,
0.997626, 0, 0.89808, 0.848579, 0.746469, 0.805586, 0.750345,
0.847075, 0.905, 0.773444, 0.994976, 0.99613, 0.824557, 0.884519,
0.964639, 0.805678, 0.735651, 0.794916, 0.928207, 0.957893, 0.78041,
0.740277, 0.787443, 0.848252, 0.707056, 0.927436, 0.885253, 0.878128,
0.837959, 0.986832, 0.7221, 0.92645, 0.902507, 0.967037, 0.996517,
0.89808, 0, 0.897717, 0.831794, 0.848827, 0.890467, 0.919391,
0.624457, 0.833627, 0.958429, 0.997872, 0.858585, 0.648805, 0.954671,
0.902101, 0.880482, 0.819793, 0.769834, 0.958542, 0.821093, 0.828221,
0.8213, 0.887611, 0.86665, 0.948375, 0.892708, 0.857846, 0.964803,
0.969923, 0.926794, 0.87806, 0.895685, 0.987938, 0.995838, 0.848579,
0.897717, 0, 0.696383, 0.449336, 0.753916, 0.873609, 0.915059,
0.747178, 0.990016, 0.997983, 0.894964, 0.917055, 0.971518, 0.862614,
0.745737, 0.787584, 0.92082, 0.957279, 0.837768, 0.838932, 0.806603,
0.867847, 0.773707, 0.94201, 0.801034, 0.725213, 0.942049, 0.966289,
0.850157, 0.86715, 0.849876, 0.977347, 0.993279, 0.746469, 0.831794,
0.696383, 0, 0.737609, 0.659008, 0.848877, 0.852335, 0.757383,
0.982736, 0.996557, 0.655259, 0.867918, 0.91404, 0.711859, 0.620603,
0.657876, 0.751447, 0.933596, 0.701745, 0.693941, 0.72905, 0.744661,
0.66299, 0.901174, 0.896041, 0.870564, 0.970062, 0.952887, 0.898435,
0.780106, 0.794102, 0.990068, 0.998833, 0.805586, 0.848827, 0.449336,
0.737609, 0, 0.757593, 0.681598, 0.815115, 0.420796, 0.988456,
0.999433, 0.81008, 0.854343, 0.978752, 0.842183, 0.720653, 0.649232,
0.895893, 0.920209, 0.685464, 0.689573, 0.579617, 0.763143, 0.658577,
0.905485, 0.790542, 0.765767, 0.921683, 0.958222, 0.884836, 0.792507,
0.82606, 0.983188, 0.995305, 0.750345, 0.890467, 0.753916, 0.659008,
0.757593, 0, 0.826689, 0.873181, 0.642655, 0.989563, 0.998322,
0.861947, 0.899871, 0.949883, 0.445683, 0.040769, 0.565352, 0.867132,
0.934416, 0.64492, 0.632297, 0.609824, 0.795227, 0.498515, 0.924442,
0.905549, 0.877561, 0.965747, 0.914256, 0.914703, 0.490193, 0.572111,
0.987835, 0.998685, 0.847075, 0.919391, 0.873609, 0.848877, 0.681598,
0.826689, 0, 0.798056, 0.620021, 0.988816, 0.998962, 0.903879,
0.933739, 0.985677, 0.875208, 0.824536, 0.818329, 0.940517, 0.949869,
0.716765, 0.788392, 0.78357, 0.855355, 0.802877, 0.941102, 0.91111,
0.878336, 0.865674, 0.970642, 0.767928, 0.819201, 0.804792, 0.975008,
0.999235, 0.905, 0.624457, 0.915059, 0.852335, 0.815115, 0.873181,
0.798056, 0, 0.7712, 0.990297, 0.999562, 0.856043, 0.75589, 0.985678,
0.86189, 0.865602, 0.829791, 0.7582, 0.955982, 0.76228, 0.791676,
0.776135, 0.873062, 0.859092, 0.943876, 0.89411, 0.852742, 0.96621,
0.949878, 0.895792, 0.651105, 0.704899, 0.987181, 0.999336, 0.773444,
0.833627, 0.747178, 0.757383, 0.420796, 0.642655, 0.620021, 0.7712,
0, 0.992988, 0.999441, 0.829653, 0.848124, 0.995715, 0.754955,
0.606968, 0.584805, 0.903398, 0.882185, 0.59874, 0.624462, 0.503697,
0.736325, 0.58863, 0.793747, 0.976961, 0.986353, 0.970599, 0.997484,
0.974094, 0.996154, 0.997323, 0.996529, 0.996906, 0.994976, 0.958429,
0.990016, 0.982736, 0.988456, 0.989563, 0.988816, 0.990297, 0.992988,
0, 0.998649, 0.988867, 0.979585, 0.957237, 0.99242, 0.989853,
0.983864, 0.99005, 0.996718, 0.991281, 0.990061, 0.992383, 0.990933,
0.987206, 0.99723, 0.997093, 0.999126, 0.998697, 0.99922, 0.998723,
0.998477, 0.999367, 0.999108, 0.509494, 0.99613, 0.997872, 0.997983,
0.996557, 0.999433, 0.998322, 0.998962, 0.999562, 0.999441, 0.998649,
0, 0.999075, 0.999247, 0.997395, 0.999052, 0.998487, 0.99804,
0.999145, 0.999725, 0.99957, 0.999534, 0.999693, 0.999424, 0.998965,
0.999566, 0.784175, 0.822573, 0.95216, 0.972913, 0.780709, 0.908053,
0.757292, 0.978355, 0.997247, 0.824557, 0.858585, 0.894964, 0.655259,
0.81008, 0.861947, 0.903879, 0.856043, 0.829653, 0.988867, 0.999075,
0, 0.856517, 0.960289, 0.750404, 0.838999, 0.696738, 0.891203,
0.899058, 0.47569, 0.516966, 0.618473, 0.733062, 0.822884, 0.843149,
0.903232, 0.897483, 0.857683, 0.987636, 0.75797, 0.934804, 0.912523,
0.970359, 0.998252, 0.884519, 0.648805, 0.917055, 0.867918, 0.854343,
0.899871, 0.933739, 0.75589, 0.848124, 0.979585, 0.999247, 0.856517,
0, 0.954535, 0.889698, 0.883625, 0.838877, 0.780406, 0.958845,
0.831865, 0.830672, 0.819342, 0.881014, 0.864899, 0.943907, 0.93154,
0.955899, 0.946018, 0.991347, 0.911907, 0.9861, 0.988927, 0.991946,
0.996533, 0.964639, 0.954671, 0.971518, 0.91404, 0.978752, 0.949883,
0.985677, 0.985678, 0.995715, 0.957237, 0.997395, 0.960289, 0.954535,
0, 0.957146, 0.934858, 0.951871, 0.949761, 0.993348, 0.983026,
0.962962, 0.982212, 0.963042, 0.93416, 0.989472, 0.801226, 0.828633,
0.930482, 0.970548, 0.887166, 0.866673, 0.849474, 0.98055, 0.9975,
0.805678, 0.902101, 0.862614, 0.711859, 0.842183, 0.445683, 0.875208,
0.86189, 0.754955, 0.99242, 0.999052, 0.750404, 0.889698, 0.957146,
0, 0.433885, 0.49908, 0.824472, 0.913046, 0.576643, 0.503168,
0.455107, 0.661285, 0.634186, 0.859977, 0.792943, 0.780688, 0.927475,
0.958918, 0.884969, 0.79856, 0.833946, 0.983813, 0.99536, 0.735651,
0.880482, 0.745737, 0.620603, 0.720653, 0.040769, 0.824536, 0.865602,
0.606968, 0.989853, 0.998487, 0.838999, 0.883625, 0.934858, 0.433885,
0, 0.540768, 0.858399, 0.929136, 0.631118, 0.608543, 0.59167,
0.760623, 0.439831, 0.914263, 0.647447, 0.745419, 0.913383, 0.969111,
0.845558, 0.857432, 0.84092, 0.985231, 0.996573, 0.794916, 0.819793,
0.787584, 0.657876, 0.649232, 0.565352, 0.818329, 0.829791, 0.584805,
0.983864, 0.99804, 0.696738, 0.838877, 0.951871, 0.49908, 0.540768,
0, 0.83757, 0.880395, 0.439041, 0.520271, 0.295918, 0.609658,
0.615631, 0.795808, 0.895218, 0.823416, 0.792996, 0.987843, 0.717217,
0.940762, 0.932403, 0.965446, 0.998077, 0.928207, 0.769834, 0.92082,
0.751447, 0.895893, 0.867132, 0.940517, 0.7582, 0.903398, 0.99005,
0.999145, 0.891203, 0.780406, 0.949761, 0.824472, 0.858399, 0.83757,
0, 0.956328, 0.840251, 0.853711, 0.842117, 0.863831, 0.875323,
0.93327, 0.943309, 0.943878, 0.982603, 0.991885, 0.951557, 0.930323,
0.908419, 0.995442, 0.999231, 0.957893, 0.958542, 0.957279, 0.933596,
0.920209, 0.934416, 0.949869, 0.955982, 0.882185, 0.996718, 0.999725,
0.899058, 0.958845, 0.993348, 0.913046, 0.929136, 0.880395, 0.956328,
0, 0.896541, 0.896806, 0.892812, 0.90976, 0.925998, 0.812763,
0.668771, 0.708038, 0.910284, 0.948502, 0.746902, 0.697156, 0.617524,
0.977301, 0.998941, 0.78041, 0.821093, 0.837768, 0.701745, 0.685464,
0.64492, 0.716765, 0.76228, 0.59874, 0.991281, 0.99957, 0.47569,
0.831865, 0.983026, 0.576643, 0.631118, 0.439041, 0.840251, 0.896541,
0, 0.332259, 0.366013, 0.670988, 0.660053, 0.865374, 0.764815,
0.723605, 0.917016, 0.950591, 0.729877, 0.752768, 0.643687, 0.975595,
0.998811, 0.740277, 0.828221, 0.838932, 0.693941, 0.689573, 0.632297,
0.788392, 0.791676, 0.624462, 0.990061, 0.999534, 0.516966, 0.830672,
0.962962, 0.503168, 0.608543, 0.520271, 0.853711, 0.896806, 0.332259,
0, 0.344601, 0.620052, 0.597656, 0.851265, 0.739676, 0.774255,
0.920965, 0.959468, 0.811324, 0.816972, 0.752857, 0.981167, 0.999415,
0.787443, 0.8213, 0.806603, 0.72905, 0.579617, 0.609824, 0.78357,
0.776135, 0.503697, 0.992383, 0.999693, 0.618473, 0.819342, 0.982212,
0.455107, 0.59167, 0.295918, 0.842117, 0.892812, 0.366013, 0.344601,
0, 0.627952, 0.635738, 0.839837, 0.882644, 0.873241, 0.962759,
0.972857, 0.893765, 0.894443, 0.873461, 0.987265, 0.998226, 0.848252,
0.887611, 0.867847, 0.744661, 0.763143, 0.795227, 0.855355, 0.873062,
0.736325, 0.990933, 0.999424, 0.733062, 0.881014, 0.963042, 0.661285,
0.760623, 0.609658, 0.863831, 0.90976, 0.670988, 0.620052, 0.627952,
0, 0.715052, 0.780646, 0.870289, 0.838629, 0.94806, 0.960665,
0.888216, 0.812859, 0.839341, 0.97235, 0.997303, 0.707056, 0.86665,
0.773707, 0.66299, 0.658577, 0.498515, 0.802877, 0.859092, 0.58863,
0.987206, 0.998965, 0.822884, 0.864899, 0.93416, 0.634186, 0.439831,
0.615631, 0.875323, 0.925998, 0.660053, 0.597656, 0.635738, 0.715052,
0, 0.868732, 0.944295, 0.944567, 0.981199, 0.984128, 0.949748,
0.838411, 0.806423, 0.983309, 0.999218, 0.927436, 0.948375, 0.94201,
0.901174, 0.905485, 0.924442, 0.941102, 0.943876, 0.793747, 0.99723,
0.999566, 0.843149, 0.943907, 0.989472, 0.859977, 0.914263, 0.795808,
0.93327, 0.812763, 0.865374, 0.851265, 0.839837, 0.780646, 0.868732,
0), .Dim = c(34L, 34L))
________________________________________
From: r-sig-ecology-bounces at r-project.org [r-sig-ecology-bounces at r-project.org] on behalf of Arne Erpenbach [arne.erpenbach at gmx.de]
Sent: Wednesday, February 19, 2014 2:56 AM
To: r-sig-ecology at r-project.org
Subject: Re: [R-sig-eco] BiodiversityR CAPdiscrim error
Mitchell,
I suspect that the indexing is not working.
I just ran it on one of my datasets, having a distance matrix on the
left hand side of the formula, and a variable on the right hand side
(and define data=envir).
So: just split up your matrix in a distance matrix and an environmental
matrix, perhaps?
env <- MD.2.tyc.om[,35]
MD.2.tyc.om <- MD.2.tyc.om[,-35]
CAPdiscrim(MD.2.tyc.om~V35, data=env, axes=2)
If not working, please provide your matrix dput(){base}. Makes it much
easier to copy-paste it.
Cheers,
arne
On 19.02.2014 02:06, Mitchell, Kendra wrote:
I'm trying to run CAPdiscrim on a dissimilarity matrix with a catagorical variable attached on the right with cbind
str(MD2.tyc.om)
num [1:34, 1:35] 0 0.53 0.857 0.962 0.763 ...
- attr(*, "dimnames")=List of 2
..$ : NULL
..$ : chr [1:35] "" "" "" "" ...
CAPdiscrim(MD.2.tyc.om~MD.2.tyc.om[,35], data=MD.2.tyc.om, axes=2)
I keep getting this error, even if I set m=10 (as in much smaller than 24).
Error in y[, group] : no 'dimnames' attribute for array
In addition: Warning message:
In cmdscale(distmatrix, k = nrow(x) - 1, eig = T, add = F) :
only 24 of the first 33 eigenvalues are > 0
I can't find any examples using CAPdiscrim on previously calculated distance matrices even though that's an option in the manual. Any guidance on this error would be appreciated.
Thanks, Kendra
Here is the full matrix
"","V1","V2","V3","V4","V5","V6","V7","V8","V9","V10","V11","V12","V13","V14","V15","V16","V17","V18","V19","V20","V21","V22","V23","V24","V25","V26","V27","V28","V29","V30","V31","V32","V33","V34","V35"
"1",0,0.530104,0.856862,0.962188,0.763469,0.847752,0.784871,0.981281,0.994992,0.852796,0.885253,0.892708,0.801034,0.896041,0.790542,0.905549,0.91111,0.89411,0.976961,0.997093,0.784175,0.903232,0.93154,0.801226,0.792943,0.647447,0.895218,0.943309,0.668771,0.764815,0.739676,0.882644,0.870289,0.944295,2
"2",0.530104,0,0.848909,0.96033,0.714506,0.800896,0.741563,0.980028,0.997491,0.846717,0.878128,0.857846,0.725213,0.870564,0.765767,0.877561,0.878336,0.852742,0.986353,0.999126,0.822573,0.897483,0.955899,0.828633,0.780688,0.745419,0.823416,0.943878,0.708038,0.723605,0.774255,0.873241,0.838629,0.944567,2
"3",0.856862,0.848909,0,0.982097,0.508784,0.92577,0.909307,0.973827,0.996873,0.942398,0.837959,0.964803,0.942049,0.970062,0.921683,0.965747,0.865674,0.96621,0.970599,0.998697,0.95216,0.857683,0.946018,0.930482,0.927475,0.913383,0.792996,0.982603,0.910284,0.917016,0.920965,0.962759,0.94806,0.981199,2
"4",0.962188,0.96033,0.982097,0,0.967646,0.887319,0.88916,0.992741,0.998424,0.949568,0.986832,0.969923,0.966289,0.952887,0.958222,0.914256,0.970642,0.949878,0.997484,0.99922,0.972913,0.987636,0.991347,0.970548,0.958918,0.969111,0.987843,0.991885,0.948502,0.950591,0.959468,0.972857,0.960665,0.984128,3
"5",0.763469,0.714506,0.508784,0.967646,0,0.830261,0.747783,0.962011,0.997433,0.86467,0.7221,0.926794,0.850157,0.898435,0.884836,0.914703,0.767928,0.895792,0.974094,0.998723,0.780709,0.75797,0.911907,0.887166,0.884969,0.845558,0.717217,0.951557,0.746902,0.729877,0.811324,0.893765,0.888216,0.949748,3
"6",0.847752,0.800896,0.92577,0.887319,0.830261,0,0.163985,0.97472,0.998901,0.725018,0.92645,0.87806,0.86715,0.780106,0.792507,0.490193,0.819201,0.651105,0.996154,0.998477,0.908053,0.934804,0.9861,0.866673,0.79856,0.857432,0.940762,0.930323,0.697156,0.752768,0.816972,0.894443,0.812859,0.838411,4
"7",0.784871,0.741563,0.909307,0.88916,0.747783,0.163985,0,0.970635,0.998712,0.743737,0.902507,0.895685,0.849876,0.794102,0.82606,0.572111,0.804792,0.704899,0.997323,0.999367,0.757292,0.912523,0.988927,0.849474,0.833946,0.84092,0.932403,0.908419,0.617524,0.643687,0.752857,0.873461,0.839341,0.806423,4
"8",0.981281,0.980028,0.973827,0.992741,0.962011,0.97472,0.970635,0,0.997652,0.963377,0.967037,0.987938,0.977347,0.990068,0.983188,0.987835,0.975008,0.987181,0.996529,0.999108,0.978355,0.970359,0.991946,0.98055,0.983813,0.985231,0.965446,0.995442,0.977301,0.975595,0.981167,0.987265,0.97235,0.983309,1
"9",0.994992,0.997491,0.996873,0.998424,0.997433,0.998901,0.998712,0.997652,0,0.997626,0.996517,0.995838,0.993279,0.998833,0.995305,0.998685,0.999235,0.999336,0.996906,0.509494,0.997247,0.998252,0.996533,0.9975,0.99536,0.996573,0.998077,0.999231,0.998941,0.998811,0.999415,0.998226,0.997303,0.999218,1
"10",0.852796,0.846717,0.942398,0.949568,0.86467,0.725018,0.743737,0.963377,0.997626,0,0.89808,0.848579,0.746469,0.805586,0.750345,0.847075,0.905,0.773444,0.994976,0.99613,0.824557,0.884519,0.964639,0.805678,0.735651,0.794916,0.928207,0.957893,0.78041,0.740277,0.787443,0.848252,0.707056,0.927436,1
"11",0.885253,0.878128,0.837959,0.986832,0.7221,0.92645,0.902507,0.967037,0.996517,0.89808,0,0.897717,0.831794,0.848827,0.890467,0.919391,0.624457,0.833627,0.958429,0.997872,0.858585,0.648805,0.954671,0.902101,0.880482,0.819793,0.769834,0.958542,0.821093,0.828221,0.8213,0.887611,0.86665,0.948375,2
"12",0.892708,0.857846,0.964803,0.969923,0.926794,0.87806,0.895685,0.987938,0.995838,0.848579,0.897717,0,0.696383,0.449336,0.753916,0.873609,0.915059,0.747178,0.990016,0.997983,0.894964,0.917055,0.971518,0.862614,0.745737,0.787584,0.92082,0.957279,0.837768,0.838932,0.806603,0.867847,0.773707,0.94201,2
"13",0.801034,0.725213,0.942049,0.966289,0.850157,0.86715,0.849876,0.977347,0.993279,0.746469,0.831794,0.696383,0,0.737609,0.659008,0.848877,0.852335,0.757383,0.982736,0.996557,0.655259,0.867918,0.91404,0.711859,0.620603,0.657876,0.751447,0.933596,0.701745,0.693941,0.72905,0.744661,0.66299,0.901174,2
"14",0.896041,0.870564,0.970062,0.952887,0.898435,0.780106,0.794102,0.990068,0.998833,0.805586,0.848827,0.449336,0.737609,0,0.757593,0.681598,0.815115,0.420796,0.988456,0.999433,0.81008,0.854343,0.978752,0.842183,0.720653,0.649232,0.895893,0.920209,0.685464,0.689573,0.579617,0.763143,0.658577,0.905485,3
"15",0.790542,0.765767,0.921683,0.958222,0.884836,0.792507,0.82606,0.983188,0.995305,0.750345,0.890467,0.753916,0.659008,0.757593,0,0.826689,0.873181,0.642655,0.989563,0.998322,0.861947,0.899871,0.949883,0.445683,0.040769,0.565352,0.867132,0.934416,0.64492,0.632297,0.609824,0.795227,0.498515,0.924442,3
"16",0.905549,0.877561,0.965747,0.914256,0.914703,0.490193,0.572111,0.987835,0.998685,0.847075,0.919391,0.873609,0.848877,0.681598,0.826689,0,0.798056,0.620021,0.988816,0.998962,0.903879,0.933739,0.985677,0.875208,0.824536,0.818329,0.940517,0.949869,0.716765,0.788392,0.78357,0.855355,0.802877,0.941102,3
"17",0.91111,0.878336,0.865674,0.970642,0.767928,0.819201,0.804792,0.975008,0.999235,0.905,0.624457,0.915059,0.852335,0.815115,0.873181,0.798056,0,0.7712,0.990297,0.999562,0.856043,0.75589,0.985678,0.86189,0.865602,0.829791,0.7582,0.955982,0.76228,0.791676,0.776135,0.873062,0.859092,0.943876,4
"18",0.89411,0.852742,0.96621,0.949878,0.895792,0.651105,0.704899,0.987181,0.999336,0.773444,0.833627,0.747178,0.757383,0.420796,0.642655,0.620021,0.7712,0,0.992988,0.999441,0.829653,0.848124,0.995715,0.754955,0.606968,0.584805,0.903398,0.882185,0.59874,0.624462,0.503697,0.736325,0.58863,0.793747,4
"19",0.976961,0.986353,0.970599,0.997484,0.974094,0.996154,0.997323,0.996529,0.996906,0.994976,0.958429,0.990016,0.982736,0.988456,0.989563,0.988816,0.990297,0.992988,0,0.998649,0.988867,0.979585,0.957237,0.99242,0.989853,0.983864,0.99005,0.996718,0.991281,0.990061,0.992383,0.990933,0.987206,0.99723,4
"20",0.997093,0.999126,0.998697,0.99922,0.998723,0.998477,0.999367,0.999108,0.509494,0.99613,0.997872,0.997983,0.996557,0.999433,0.998322,0.998962,0.999562,0.999441,0.998649,0,0.999075,0.999247,0.997395,0.999052,0.998487,0.99804,0.999145,0.999725,0.99957,0.999534,0.999693,0.999424,0.998965,0.999566,1
"21",0.784175,0.822573,0.95216,0.972913,0.780709,0.908053,0.757292,0.978355,0.997247,0.824557,0.858585,0.894964,0.655259,0.81008,0.861947,0.903879,0.856043,0.829653,0.988867,0.999075,0,0.856517,0.960289,0.750404,0.838999,0.696738,0.891203,0.899058,0.47569,0.516966,0.618473,0.733062,0.822884,0.843149,1
"22",0.903232,0.897483,0.857683,0.987636,0.75797,0.934804,0.912523,0.970359,0.998252,0.884519,0.648805,0.917055,0.867918,0.854343,0.899871,0.933739,0.75589,0.848124,0.979585,0.999247,0.856517,0,0.954535,0.889698,0.883625,0.838877,0.780406,0.958845,0.831865,0.830672,0.819342,0.881014,0.864899,0.943907,1
"23",0.93154,0.955899,0.946018,0.991347,0.911907,0.9861,0.988927,0.991946,0.996533,0.964639,0.954671,0.971518,0.91404,0.978752,0.949883,0.985677,0.985678,0.995715,0.957237,0.997395,0.960289,0.954535,0,0.957146,0.934858,0.951871,0.949761,0.993348,0.983026,0.962962,0.982212,0.963042,0.93416,0.989472,2
"24",0.801226,0.828633,0.930482,0.970548,0.887166,0.866673,0.849474,0.98055,0.9975,0.805678,0.902101,0.862614,0.711859,0.842183,0.445683,0.875208,0.86189,0.754955,0.99242,0.999052,0.750404,0.889698,0.957146,0,0.433885,0.49908,0.824472,0.913046,0.576643,0.503168,0.455107,0.661285,0.634186,0.859977,2
"25",0.792943,0.780688,0.927475,0.958918,0.884969,0.79856,0.833946,0.983813,0.99536,0.735651,0.880482,0.745737,0.620603,0.720653,0.040769,0.824536,0.865602,0.606968,0.989853,0.998487,0.838999,0.883625,0.934858,0.433885,0,0.540768,0.858399,0.929136,0.631118,0.608543,0.59167,0.760623,0.439831,0.914263,2
"26",0.647447,0.745419,0.913383,0.969111,0.845558,0.857432,0.84092,0.985231,0.996573,0.794916,0.819793,0.787584,0.657876,0.649232,0.565352,0.818329,0.829791,0.584805,0.983864,0.99804,0.696738,0.838877,0.951871,0.49908,0.540768,0,0.83757,0.880395,0.439041,0.520271,0.295918,0.609658,0.615631,0.795808,3
"27",0.895218,0.823416,0.792996,0.987843,0.717217,0.940762,0.932403,0.965446,0.998077,0.928207,0.769834,0.92082,0.751447,0.895893,0.867132,0.940517,0.7582,0.903398,0.99005,0.999145,0.891203,0.780406,0.949761,0.824472,0.858399,0.83757,0,0.956328,0.840251,0.853711,0.842117,0.863831,0.875323,0.93327,3
"28",0.943309,0.943878,0.982603,0.991885,0.951557,0.930323,0.908419,0.995442,0.999231,0.957893,0.958542,0.957279,0.933596,0.920209,0.934416,0.949869,0.955982,0.882185,0.996718,0.999725,0.899058,0.958845,0.993348,0.913046,0.929136,0.880395,0.956328,0,0.896541,0.896806,0.892812,0.90976,0.925998,0.812763,3
"29",0.668771,0.708038,0.910284,0.948502,0.746902,0.697156,0.617524,0.977301,0.998941,0.78041,0.821093,0.837768,0.701745,0.685464,0.64492,0.716765,0.76228,0.59874,0.991281,0.99957,0.47569,0.831865,0.983026,0.576643,0.631118,0.439041,0.840251,0.896541,0,0.332259,0.366013,0.670988,0.660053,0.865374,4
"30",0.764815,0.723605,0.917016,0.950591,0.729877,0.752768,0.643687,0.975595,0.998811,0.740277,0.828221,0.838932,0.693941,0.689573,0.632297,0.788392,0.791676,0.624462,0.990061,0.999534,0.516966,0.830672,0.962962,0.503168,0.608543,0.520271,0.853711,0.896806,0.332259,0,0.344601,0.620052,0.597656,0.851265,4
"31",0.739676,0.774255,0.920965,0.959468,0.811324,0.816972,0.752857,0.981167,0.999415,0.787443,0.8213,0.806603,0.72905,0.579617,0.609824,0.78357,0.776135,0.503697,0.992383,0.999693,0.618473,0.819342,0.982212,0.455107,0.59167,0.295918,0.842117,0.892812,0.366013,0.344601,0,0.627952,0.635738,0.839837,4
"32",0.882644,0.873241,0.962759,0.972857,0.893765,0.894443,0.873461,0.987265,0.998226,0.848252,0.887611,0.867847,0.744661,0.763143,0.795227,0.855355,0.873062,0.736325,0.990933,0.999424,0.733062,0.881014,0.963042,0.661285,0.760623,0.609658,0.863831,0.90976,0.670988,0.620052,0.627952,0,0.715052,0.780646,1
"33",0.870289,0.838629,0.94806,0.960665,0.888216,0.812859,0.839341,0.97235,0.997303,0.707056,0.86665,0.773707,0.66299,0.658577,0.498515,0.802877,0.859092,0.58863,0.987206,0.998965,0.822884,0.864899,0.93416,0.634186,0.439831,0.615631,0.875323,0.925998,0.660053,0.597656,0.635738,0.715052,0,0.868732,1
"34",0.944295,0.944567,0.981199,0.984128,0.949748,0.838411,0.806423,0.983309,0.999218,0.927436,0.948375,0.94201,0.901174,0.905485,0.924442,0.941102,0.943876,0.793747,0.99723,0.999566,0.843149,0.943907,0.989472,0.859977,0.914263,0.795808,0.93327,0.812763,0.865374,0.851265,0.839837,0.780646,0.868732,0,1
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