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diff --git a/test/qlm-ks/BH_diagnostics.ah1.gp b/test/qlm-ks/BH_diagnostics.ah1.gp
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+# apparent horizon 1/1
+#
+# column 1 = cctk_iteration
+# column 2 = cctk_time
+# column 3 = centroid_x
+# column 4 = centroid_y
+# column 5 = centroid_z
+# column 6 = min radius
+# column 7 = max radius
+# column 8 = mean radius
+# column 9 = quadrupole_xx
+# column 10 = quadrupole_xy
+# column 11 = quadrupole_xz
+# column 12 = quadrupole_yy
+# column 13 = quadrupole_yz
+# column 14 = quadrupole_zz
+# column 15 = min x
+# column 16 = max x
+# column 17 = min y
+# column 18 = max y
+# column 19 = min z
+# column 20 = max z
+# column 21 = xy-plane circumference
+# column 22 = xz-plane circumference
+# column 23 = yz-plane circumference
+# column 24 = ratio of xz/xy-plane circumferences
+# column 25 = ratio of yz/xy-plane circumferences
+# column 26 = area
+# column 27 = m_irreducible
+# column 28 = areal radius
+# column 29 = expansion Theta_(l)
+# column 30 = inner expansion Theta_(n)
+# column 31 = product of the expansions
+# column 32 = mean curvature
+# column 33 = gradient of the areal radius
+# column 34 = gradient of the expansion Theta_(l)
+# column 35 = gradient of the inner expansion Theta_(n)
+# column 36 = gradient of the product of the expansions
+# column 37 = gradient of the mean curvature
+# column 38 = minimum of the mean curvature
+# column 39 = maximum of the mean curvature
+# column 40 = integral of the mean curvature
+0 0.000 0.000000 -0.000000 -0.000000 1.599977602 1.788831745 1.727275196 1.066638168 -2.300163114e-10 -8.607419879e-15 1.066638168 2.228665782e-14 0.8533207967 -1.788814082 1.788814082 -1.788814082 1.788814082 -1.599977602 1.599977602 12.56623786 10.65452931 10.65452932 0.8478694607 0.8478694607 40.21148572 0.8944171790 1.788834358 -3.580956194e-15 -1.529659433 5.418651154e-15 0.7648297167 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071192697 0.8021463891 30.88875381
+1 0.050 0.000000 -0.000000 -0.000000 1.599983089 1.788838047 1.727280856 1.066644769 -2.316049845e-10 -8.714852181e-15 1.066644769 1.373768134e-14 0.8533271356 -1.788815937 1.788815937 -1.788815937 1.788815937 -1.599983089 1.599983089 12.56623744 10.65456220 10.65456220 0.8478721064 0.8478721065 40.21172640 0.8944198558 1.788839712 -8.629167453e-13 -1.529656039 2.614123288e-12 0.7648280193 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071204083 0.8021093486 30.88887344
+2 0.100 0.000000 -0.000000 -0.000000 1.599987247 1.788842858 1.727285164 1.066649756 -2.334185813e-10 -2.923107323e-15 1.066649756 5.753564935e-15 0.8533320349 -1.788816405 1.788816405 -1.788816405 1.788816405 -1.599987247 1.599987247 12.56622780 10.65458615 10.65458615 0.8478746622 0.8478746622 40.21190783 0.8944218735 1.788843747 -6.924718826e-13 -1.529653829 2.109144770e-12 0.7648269144 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071218962 0.8020889490 30.88896892
+3 0.150 0.000000 -0.000000 -0.000000 1.599990328 1.788846484 1.727288379 1.066653440 -2.353090180e-10 9.867639810e-16 1.066653440 4.061824282e-15 0.8533357641 -1.788815855 1.788815855 -1.788815855 1.788815855 -1.599990328 1.599990328 12.56621147 10.65460293 10.65460293 0.8478770993 0.8478770993 40.21204134 0.8944233583 1.788846717 -8.388134754e-13 -1.529652553 2.131177385e-12 0.7648262763 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000 0.7071235608 0.8020720268 30.88904395