i1 : load "mcstable.m2"; i2 : R=QQ[a..l]; i3 : I = ideal({-k^2+j*l,-i*k+h*l,-i*j+h*k,-h*k+g*l,-h*j+g*k,-h^2+g*i,-g*k+f*l,-g*j+f*k,-g*h+f*i,-g^2+f*h,-f*k+e*l,-f*j+e*k,-f*h+e*i,-f*g+e*h,-f^2+e*g,-e*k+d*l,-e*j+d*k,-e*h+d*i,-e*g+d*h,-e*f+d*g,-e^2+d*f,-d*k+c*l,-d*j+c*k,-d*h+c*i,-d*g+c*h,-d*f+c*g,-d*e+c*f,-d^2+c*e,-c*k+b*l,-c*j+b*k,-c*h+b*i,-c*g+b*h,-c*f+b*g,-c*e+b*f,-c*d+b*e,-c^2+b*d,-b*k+a*l,-b*j+a*k,-b*h+a*i,-b*g+a*h,-b*f+a*g,-b*e+a*f,-b*d+a*e,-b*c+a*d,-b^2+a*c, j^2-d*i+a^2, j*k -e*i+a*b, k^2-f*i+a*c, k*l - g*i + a*d, l^2 - h*i +a*e}); o3 : Ideal of R i4 : mcStable(8,I,10); VERTICES 1 50316 49990 50382 50384 50388 50378 50388 50119 50214 50372 50346 50387 1 50357 50388 50388 50346 50086 50388 50205 50387 50352 50176 50378 50213 1 50379 50378 50388 50388 50388 50186 50388 50089 50317 50063 50313 50387 1 50254 50380 50246 50178 50361 50387 50386 50387 50334 50386 50386 49979 1 50380 50156 50371 50388 50131 50388 50222 50262 50317 50323 50339 50387 1 50156 50388 50388 50079 50388 50360 50388 50387 50329 50351 50386 50064 1 50105 50387 50193 50370 50386 50387 50374 50347 50352 50384 50387 49992 1 50387 49979 50388 50384 50385 50383 50362 50380 50093 50298 50242 50383 1 50292 50386 50388 50384 50384 50162 50387 50229 50351 50011 50387 50303 1 50317 50273 50080 50349 50311 50388 50385 50387 50071 50387 50331 50385 1 50302 50386 50056 50356 50360 50388 50371 50386 50096 50387 50189 50387 1 50384 50268 50388 50388 50386 50174 50383 50306 50352 50001 50386 50248 1 50212 50308 50388 50388 49994 50382 50386 50388 50311 50325 50388 50194 1 50386 50388 50112 50317 50388 50388 50384 50121 50317 50310 50166 50387 1 50386 50372 50386 50388 50306 50388 50386 50093 50344 50248 50353 50014 1 50219 50380 50372 49982 50388 50358 50352 50387 50121 50352 50366 50387 1 50387 50331 50388 50388 50373 50119 50372 50253 50352 50014 50385 50302 1 50245 50387 50098 50223 50387 50388 50386 50386 50065 50386 50330 50383 1 50367 50338 50386 50073 50388 50387 50387 50386 50303 50019 50379 50251 1 50320 50388 50239 50388 50226 50218 50388 50215 50317 50380 50200 50385 1 50219 50358 50388 50073 50358 50388 50134 50386 50255 50387 50366 50352 1 50380 50380 50066 50387 50387 50372 50379 50363 50271 49987 50380 50312 1 50267 50380 50003 50383 50388 50387 50246 50387 50326 50373 50378 50146 1 50380 50367 50387 50386 49972 50386 50387 50313 50205 50194 50303 50384 1 50380 50380 50046 50387 50360 50360 50388 50387 50351 50113 50377 50135 1 50238 50107 50388 50358 50388 50380 50386 50001 50313 50387 50331 50387 1 50040 50387 50386 50387 50270 50382 50388 50384 50349 50386 50121 50184 1 50387 50116 50365 50369 50388 50373 50008 50370 50275 50253 50387 50373 1 50296 50388 50388 50370 50388 50078 50346 50387 50352 50380 50200 50091 1 50378 50020 50313 50388 50388 50388 50388 50266 50086 50275 50387 50387 1 50309 50379 50388 50388 50091 50388 50388 50254 50352 50360 50058 50309 1 50373 50366 50113 50387 50388 50087 50344 50387 50212 50248 50386 50373 1 50378 50388 50197 50388 50213 50388 50387 50367 50329 49998 50378 50253 1 50322 50096 50388 50358 50388 50055 50386 50373 50193 50380 50353 50372 1 50240 50380 50388 50365 50386 50353 50353 50120 50352 50380 50379 49968 1 50385 50334 50144 50385 50384 50384 50386 50386 49993 50124 50372 50387 1 50380 50380 50098 50340 50387 50384 50083 50380 50261 50206 50378 50387 1 50023 50340 50388 50380 50366 50384 50388 50371 50277 50387 50378 49982 1 50128 50386 50332 50388 50386 50105 50186 50373 50275 50347 50385 50373 1 50387 50254 50388 50122 50388 50388 50388 50386 50348 50317 50098 50200 1 50386 50002 50373 50380 50388 50346 50372 50347 50343 50303 50388 50036 1 50127 50388 50376 50380 50109 50386 50383 50373 50289 50379 50099 50375 1 50111 50381 50388 50373 50373 50380 50327 50239 50305 50013 50388 50386 1 50324 50383 50052 50388 50384 50376 50387 50386 50313 50380 50120 50171 1 50020 50387 50360 50340 50388 50388 50332 50358 50352 50368 50387 49984 1 50387 50374 50387 50388 50201 50323 50383 50387 50123 50313 50012 50386 1 50324 50183 50346 50388 50043 50345 50387 50373 50170 50379 50340 50386 1 50100 50388 50388 50384 50388 50388 50349 50288 50352 50037 50386 50216 VERTICES 1 50316 49990 50382 50384 50388 50378 50388 50119 50214 50372 50346 50387 1 50357 50388 50388 50346 50086 50388 50205 50387 50352 50176 50378 50213 1 50379 50378 50388 50388 50388 50186 50388 50089 50317 50063 50313 50387 1 50254 50380 50246 50178 50361 50387 50386 50387 50334 50386 50386 49979 1 50380 50156 50371 50388 50131 50388 50222 50262 50317 50323 50339 50387 1 50156 50388 50388 50079 50388 50360 50388 50387 50329 50351 50386 50064 1 50105 50387 50193 50370 50386 50387 50374 50347 50352 50384 50387 49992 1 50387 49979 50388 50384 50385 50383 50362 50380 50093 50298 50242 50383 1 50292 50386 50388 50384 50384 50162 50387 50229 50351 50011 50387 50303 1 50317 50273 50080 50349 50311 50388 50385 50387 50071 50387 50331 50385 1 50302 50386 50056 50356 50360 50388 50371 50386 50096 50387 50189 50387 1 50384 50268 50388 50388 50386 50174 50383 50306 50352 50001 50386 50248 1 50212 50308 50388 50388 49994 50382 50386 50388 50311 50325 50388 50194 1 50386 50388 50112 50317 50388 50388 50384 50121 50317 50310 50166 50387 1 50386 50372 50386 50388 50306 50388 50386 50093 50344 50248 50353 50014 1 50219 50380 50372 49982 50388 50358 50352 50387 50121 50352 50366 50387 1 50387 50331 50388 50388 50373 50119 50372 50253 50352 50014 50385 50302 1 50245 50387 50098 50223 50387 50388 50386 50386 50065 50386 50330 50383 1 50367 50338 50386 50073 50388 50387 50387 50386 50303 50019 50379 50251 1 50320 50388 50239 50388 50226 50218 50388 50215 50317 50380 50200 50385 1 50219 50358 50388 50073 50358 50388 50134 50386 50255 50387 50366 50352 1 50380 50380 50066 50387 50387 50372 50379 50363 50271 49987 50380 50312 1 50267 50380 50003 50383 50388 50387 50246 50387 50326 50373 50378 50146 1 50380 50367 50387 50386 49972 50386 50387 50313 50205 50194 50303 50384 1 50380 50380 50046 50387 50360 50360 50388 50387 50351 50113 50377 50135 1 50238 50107 50388 50358 50388 50380 50386 50001 50313 50387 50331 50387 1 50040 50387 50386 50387 50270 50382 50388 50384 50349 50386 50121 50184 1 50387 50116 50365 50369 50388 50373 50008 50370 50275 50253 50387 50373 1 50296 50388 50388 50370 50388 50078 50346 50387 50352 50380 50200 50091 1 50378 50020 50313 50388 50388 50388 50388 50266 50086 50275 50387 50387 1 50309 50379 50388 50388 50091 50388 50388 50254 50352 50360 50058 50309 1 50373 50366 50113 50387 50388 50087 50344 50387 50212 50248 50386 50373 1 50378 50388 50197 50388 50213 50388 50387 50367 50329 49998 50378 50253 1 50322 50096 50388 50358 50388 50055 50386 50373 50193 50380 50353 50372 1 50240 50380 50388 50365 50386 50353 50353 50120 50352 50380 50379 49968 1 50385 50334 50144 50385 50384 50384 50386 50386 49993 50124 50372 50387 1 50380 50380 50098 50340 50387 50384 50083 50380 50261 50206 50378 50387 1 50023 50340 50388 50380 50366 50384 50388 50371 50277 50387 50378 49982 1 50128 50386 50332 50388 50386 50105 50186 50373 50275 50347 50385 50373 1 50387 50254 50388 50122 50388 50388 50388 50386 50348 50317 50098 50200 1 50386 50002 50373 50380 50388 50346 50372 50347 50343 50303 50388 50036 1 50127 50388 50376 50380 50109 50386 50383 50373 50289 50379 50099 50375 1 50111 50381 50388 50373 50373 50380 50327 50239 50305 50013 50388 50386 1 50324 50383 50052 50388 50384 50376 50387 50386 50313 50380 50120 50171 1 50020 50387 50360 50340 50388 50388 50332 50358 50352 50368 50387 49984 1 50387 50374 50387 50388 50201 50323 50383 50387 50123 50313 50012 50386 1 50324 50183 50346 50388 50043 50345 50387 50373 50170 50379 50340 50386 1 50100 50388 50388 50384 50388 50388 50349 50288 50352 50037 50386 50216 barycenter is 150916/3 i5 : print toString oo; (true,{{50316, 49990, 50382, 50384, 50388, 50378, 50388, 50119, 50214, 50372, 50346, 50387}, {50357, 50388, 50388, 50346, 50086, 50388, 50205, 50387, 50352, 50176, 50378, 50213}, {50379, 50378, 50388, 50388, 50388, 50186, 50388, 50089, 50317, 50063, 50313, 50387}, {50254, 50380, 50246, 50178, 50361, 50387, 50386, 50387, 50334, 50386, 50386, 49979}, {50380, 50156, 50371, 50388, 50131, 50388, 50222, 50262, 50317, 50323, 50339, 50387}, {50156, 50388, 50388, 50079, 50388, 50360, 50388, 50387, 50329, 50351, 50386, 50064}, {50105, 50387, 50193, 50370, 50386, 50387, 50374, 50347, 50352, 50384, 50387, 49992}, {50387, 49979, 50388, 50384, 50385, 50383, 50362, 50380, 50093, 50298, 50242, 50383}, {50292, 50386, 50388, 50384, 50384, 50162, 50387, 50229, 50351, 50011, 50387, 50303}, {50317, 50273, 50080, 50349, 50311, 50388, 50385, 50387, 50071, 50387, 50331, 50385}, {50302, 50386, 50056, 50356, 50360, 50388, 50371, 50386, 50096, 50387, 50189, 50387}, {50384, 50268, 50388, 50388, 50386, 50174, 50383, 50306, 50352, 50001, 50386, 50248}, {50212, 50308, 50388, 50388, 49994, 50382, 50386, 50388, 50311, 50325, 50388, 50194}, {50386, 50388, 50112, 50317, 50388, 50388, 50384, 50121, 50317, 50310, 50166, 50387}, {50386, 50372, 50386, 50388, 50306, 50388, 50386, 50093, 50344, 50248, 50353, 50014}, {50219, 50380, 50372, 49982, 50388, 50358, 50352, 50387, 50121, 50352, 50366, 50387}, {50387, 50331, 50388, 50388, 50373, 50119, 50372, 50253, 50352, 50014, 50385, 50302}, {50245, 50387, 50098, 50223, 50387, 50388, 50386, 50386, 50065, 50386, 50330, 50383}, {50367, 50338, 50386, 50073, 50388, 50387, 50387, 50386, 50303, 50019, 50379, 50251}, {50320, 50388, 50239, 50388, 50226, 50218, 50388, 50215, 50317, 50380, 50200, 50385}, {50219, 50358, 50388, 50073, 50358, 50388, 50134, 50386, 50255, 50387, 50366, 50352}, {50380, 50380, 50066, 50387, 50387, 50372, 50379, 50363, 50271, 49987, 50380, 50312}, {50267, 50380, 50003, 50383, 50388, 50387, 50246, 50387, 50326, 50373, 50378, 50146}, {50380, 50367, 50387, 50386, 49972, 50386, 50387, 50313, 50205, 50194, 50303, 50384}, {50380, 50380, 50046, 50387, 50360, 50360, 50388, 50387, 50351, 50113, 50377, 50135}, {50238, 50107, 50388, 50358, 50388, 50380, 50386, 50001, 50313, 50387, 50331, 50387}, {50040, 50387, 50386, 50387, 50270, 50382, 50388, 50384, 50349, 50386, 50121, 50184}, {50387, 50116, 50365, 50369, 50388, 50373, 50008, 50370, 50275, 50253, 50387, 50373}, {50296, 50388, 50388, 50370, 50388, 50078, 50346, 50387, 50352, 50380, 50200, 50091}, {50378, 50020, 50313, 50388, 50388, 50388, 50388, 50266, 50086, 50275, 50387, 50387}, {50309, 50379, 50388, 50388, 50091, 50388, 50388, 50254, 50352, 50360, 50058, 50309}, {50373, 50366, 50113, 50387, 50388, 50087, 50344, 50387, 50212, 50248, 50386, 50373}, {50378, 50388, 50197, 50388, 50213, 50388, 50387, 50367, 50329, 49998, 50378, 50253}, {50322, 50096, 50388, 50358, 50388, 50055, 50386, 50373, 50193, 50380, 50353, 50372}, {50240, 50380, 50388, 50365, 50386, 50353, 50353, 50120, 50352, 50380, 50379, 49968}, {50385, 50334, 50144, 50385, 50384, 50384, 50386, 50386, 49993, 50124, 50372, 50387}, {50380, 50380, 50098, 50340, 50387, 50384, 50083, 50380, 50261, 50206, 50378, 50387}, {50023, 50340, 50388, 50380, 50366, 50384, 50388, 50371, 50277, 50387, 50378, 49982}, {50128, 50386, 50332, 50388, 50386, 50105, 50186, 50373, 50275, 50347, 50385, 50373}, {50387, 50254, 50388, 50122, 50388, 50388, 50388, 50386, 50348, 50317, 50098, 50200}, {50386, 50002, 50373, 50380, 50388, 50346, 50372, 50347, 50343, 50303, 50388, 50036}, {50127, 50388, 50376, 50380, 50109, 50386, 50383, 50373, 50289, 50379, 50099, 50375}, {50111, 50381, 50388, 50373, 50373, 50380, 50327, 50239, 50305, 50013, 50388, 50386}, {50324, 50383, 50052, 50388, 50384, 50376, 50387, 50386, 50313, 50380, 50120, 50171}, {50020, 50387, 50360, 50340, 50388, 50388, 50332, 50358, 50352, 50368, 50387, 49984}, {50387, 50374, 50387, 50388, 50201, 50323, 50383, 50387, 50123, 50313, 50012, 50386}, {50324, 50183, 50346, 50388, 50043, 50345, 50387, 50373, 50170, 50379, 50340, 50386}, {50100, 50388, 50388, 50384, 50388, 50388, 50349, 50288, 50352, 50037, 50386, 50216}},{{25, -3, 17, 22, 47, 9, 49, -41, -39, 29, 4, 35}, {-25, 3, -17, -22, -47, -9, -49, 41, 39, -29, -4, -35}, {4, -3, 35, 34, 28, -29, 9, -34, 17, -20, -16, 49}, {-4, 3, -35, -34, -28, 29, -9, 34, -17, 20, 16, -49}, {44, -22, 2, 45, -27, 30, -13, 4, 22, 32, 1, 37}, {-44, 22, -2, -45, 27, -30, 13, -4, -22, -32, -1, -37}, {-44, 34, -36, -23, -8, 0, -7, -8, 22, -2, 17, -15}, {44, -34, 36, 23, 8, 0, 7, 8, -22, 2, -17, 15}, {-31, 5, 13, 14, 17, -39, 1, -19, 26, -50, -2, -7}, {31, -5, -13, -14, -17, 39, -1, 19, -26, 50, 2, 7}, {-21, 22, -43, -17, -30, 23, -27, 19, -42, 42, -32, 33}, {21, -22, 43, 17, 30, -23, 27, -19, 42, -42, 32, -33}, {-33, -31, 38, 30, -26, -2, 17, 33, 13, -3, 30, 4}, {33, 31, -38, -30, 26, 2, -17, -33, -13, 3, -30, -4}, {35, 7, 14, 45, -26, 24, 16, -44, 1, 0, -10, -38}, {-35, -7, -14, -45, 26, -24, -16, 44, -1, 0, 10, 38}, {24, -31, 40, 38, -11, -48, -30, -28, 31, -48, 10, -19}, {-24, 31, -40, -38, 11, 48, 30, 28, -31, 48, -10, 19}, {6, -30, 36, -49, 46, 46, 22, 28, 1, -41, 25, -10}, {-6, 30, -36, 49, -46, -46, -22, -28, -1, 41, -25, 10}, {-47, -42, 44, -45, -38, 6, -40, -2, -25, 49, -15, -12}, {47, 42, -44, 45, 38, -6, 40, 2, 25, -49, 15, 12}, {-24, -13, -47, -22, 37, 2, -21, 7, -1, -3, 1, -18}, {24, 13, 47, 22, -37, -2, 21, -7, 1, 3, -1, 18}, {19, 30, -38, 22, -19, 17, 10, 42, 22, -26, 22, -11}, {-19, -30, 38, -22, 19, -17, -10, -42, -22, 26, -22, 11}, {-16, 48, 28, 30, -5, 16, 50, 24, 12, 33, 1, 4}, {16, -48, -28, -30, 5, -16, -50, -24, -12, -33, -1, -4}, {-2, 42, 31, -23, -4, -43, -25, 40, 46, 0, -26, -36}, {2, -42, -31, 23, 4, 43, 25, -40, -46, 0, 26, 36}, {-15, -1, 50, 6, -41, 50, 18, -26, 37, -7, -40, -11}, {15, 1, -50, -6, 41, -50, -18, 26, -37, 7, 40, 11}, {-26, 42, -46, 31, -48, 43, -5, -4, 13, -46, 14, -10}, {26, -42, 46, -31, 48, -43, 5, 4, -13, 46, -14, 10}, {-16, 10, 33, -24, -7, -26, -34, -50, 45, 25, -7, -49}, {16, -10, -33, 24, 7, 26, 34, 50, -45, -25, 7, 49}, {48, 21, -49, -20, 11, -10, -41, 5, 28, -27, 3, 44}, {-48, -21, 49, 20, -11, 10, 41, -5, -28, 27, -3, -44}, {-26, 41, -23, 46, -20, -47, -45, 11, 26, 31, 45, 47}, {26, -41, 23, -46, 20, 47, 45, -11, -26, -31, -45, -47}, {41, -42, -16, -11, 37, -21, -21, -25, -19, -14, 25, -32}, {-41, 42, 16, 11, -37, 21, 21, 25, 19, 14, -25, 32}, {-46, -21, 13, -21, -14, -12, -36, -27, -2, -49, 23, 24}, {46, 21, -13, 21, 14, 12, 36, 27, 2, 49, -23, -24}, {-46, 9, -16, -33, 39, 38, -25, -14, 39, -4, 46, -42}, {46, -9, 16, 33, -39, -38, 25, 14, -39, 4, -46, 42}, {46, -15, -18, 18, -46, -16, 33, 37, 7, 47, 3, 39}, {-46, 15, 18, -18, 46, 16, -33, -37, -7, -47, -3, -39}}) i6 : mcStable(9,I,10); VERTICES 1 125961 125535 125964 125970 125942 125970 125611 125775 125881 125879 125923 125969 1 125681 125970 125970 125605 125967 125955 125970 125969 125922 125930 125950 125491 1 125625 125960 125970 125968 125797 125559 125970 125962 125726 125969 125906 125968 1 125969 125969 125679 125966 125970 125970 125743 125960 125923 125520 125968 125743 1 125809 125953 125633 125970 125947 125558 125970 125970 125773 125969 125913 125915 1 125961 125960 125961 125502 125969 125970 125882 125660 125888 125716 125961 125950 1 125881 125953 125969 125953 125969 125959 125511 125970 125802 125961 125529 125923 1 125929 125945 125620 125968 125915 125969 125970 125780 125881 125482 125969 125952 1 125969 125602 125950 125718 125970 125956 125970 125968 125524 125822 125964 125967 1 125636 125969 125968 125969 125604 125968 125696 125938 125917 125968 125945 125802 1 125961 125961 125961 125581 125961 125953 125937 125953 125765 125425 125961 125961 1 125496 125968 125872 125970 125970 125964 125970 125708 125925 125969 125960 125608 1 125968 125913 125960 125953 125953 125969 125562 125967 125832 125866 125468 125969 1 125516 125961 125863 125935 125969 125968 125970 125914 125921 125960 125969 125434 1 125945 125952 125936 125945 125945 125970 125968 125944 125554 125809 125970 125442 1 125858 125936 125961 125952 125969 125582 125961 125969 125861 125946 125440 125945 1 125671 125643 125970 125968 125942 125968 125964 125969 125442 125962 125969 125912 1 125961 125970 125905 125956 125970 125652 125970 125798 125925 125884 125501 125888 1 125539 125946 125970 125970 125967 125829 125961 125969 125920 125885 125968 125456 1 125959 125953 125827 125936 125968 125968 125966 125503 125881 125889 125561 125969 1 125961 125969 125961 125960 125668 125949 125784 125959 125844 125889 125468 125968 1 125770 125684 125970 125970 125970 125970 125970 125970 125873 125504 125970 125759 1 125625 125969 125970 125907 125923 125548 125970 125748 125879 125968 125905 125968 1 125969 125891 125509 125969 125970 125970 125948 125970 125909 125724 125965 125586 1 125945 125953 125951 125953 125969 125453 125969 125924 125916 125632 125969 125746 1 125886 125955 125969 125969 125696 125970 125927 125960 125693 125961 125430 125964 1 125873 125505 125960 125970 125929 125961 125969 125482 125888 125945 125953 125945 1 125961 125970 125970 125589 125969 125958 125893 125970 125897 125879 125487 125837 1 125808 125935 125969 125961 125961 125952 125970 125582 125895 125961 125953 125433 1 125934 125969 125938 125937 125584 125969 125718 125969 125801 125633 125959 125969 1 125809 125956 125462 125966 125970 125970 125970 125665 125769 125956 125918 125969 1 125941 125961 125970 125970 125756 125729 125961 125969 125920 125811 125961 125431 1 125963 125970 125912 125966 125970 125970 125471 125969 125814 125698 125708 125969 1 125862 125776 125969 125966 125698 125961 125969 125843 125925 125966 125969 125476 1 125839 125624 125920 125970 125970 125969 125472 125961 125812 125967 125915 125961 1 125968 125969 125970 125967 125899 125964 125970 125547 125923 125656 125955 125592 1 125761 125922 125967 125961 125970 125970 125970 125535 125917 125925 125969 125513 1 125961 125970 125948 125970 125806 125622 125923 125969 125752 125884 125606 125969 1 125969 125959 125970 125965 125582 125953 125970 125962 125775 125808 125506 125961 1 125609 125925 125882 125968 125969 125968 125459 125968 125903 125968 125967 125794 1 125510 125963 125970 125914 125970 125952 125970 125915 125925 125969 125527 125795 1 125969 125961 125659 125969 125598 125968 125969 125945 125659 125778 125938 125967 1 125890 125970 125665 125970 125970 125968 125970 125693 125881 125512 125922 125969 1 125867 125820 125970 125961 125930 125956 125590 125970 125859 125968 125969 125520 1 125966 125942 125968 125969 125698 125948 125970 125635 125881 125485 125969 125949 1 125801 125969 125549 125913 125970 125968 125936 125970 125831 125969 125562 125942 1 125881 125456 125961 125907 125945 125968 125969 125970 125482 125953 125953 125935 1 125949 125970 125959 125970 125970 125874 125951 125473 125889 125521 125894 125960 VERTICES 1 125865 125865 125865 125865 125865 125865 125865 125865 125865 125865 125865 125865 1 125961 125535 125964 125970 125942 125970 125611 125775 125881 125879 125923 125969 1 125681 125970 125970 125605 125967 125955 125970 125969 125922 125930 125950 125491 1 125625 125960 125970 125968 125797 125559 125970 125962 125726 125969 125906 125968 1 125969 125969 125679 125966 125970 125970 125743 125960 125923 125520 125968 125743 1 125809 125953 125633 125970 125947 125558 125970 125970 125773 125969 125913 125915 1 125961 125960 125961 125502 125969 125970 125882 125660 125888 125716 125961 125950 1 125881 125953 125969 125953 125969 125959 125511 125970 125802 125961 125529 125923 1 125929 125945 125620 125968 125915 125969 125970 125780 125881 125482 125969 125952 1 125969 125602 125950 125718 125970 125956 125970 125968 125524 125822 125964 125967 1 125636 125969 125968 125969 125604 125968 125696 125938 125917 125968 125945 125802 1 125961 125961 125961 125581 125961 125953 125937 125953 125765 125425 125961 125961 1 125496 125968 125872 125970 125970 125964 125970 125708 125925 125969 125960 125608 1 125968 125913 125960 125953 125953 125969 125562 125967 125832 125866 125468 125969 1 125516 125961 125863 125935 125969 125968 125970 125914 125921 125960 125969 125434 1 125945 125952 125936 125945 125945 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125945 125970 125966 125877 125909 125961 125969 125535 1 125869 125970 125970 125968 125968 125550 125969 125964 125715 125529 125960 125948 1 125560 125970 125970 125867 125970 125932 125970 125791 125881 125967 125533 125969 1 125968 125736 125968 125970 125640 125970 125703 125970 125840 125857 125970 125788 1 125934 125632 125970 125884 125957 125970 125916 125953 125781 125445 125969 125969 1 125817 125969 125952 125961 125970 125567 125969 125935 125895 125968 125906 125471 barycenter is 125865 i7 : print toString oo; (true,{{125961, 125535, 125964, 125970, 125942, 125970, 125611, 125775, 125881, 125879, 125923, 125969}, {125681, 125970, 125970, 125605, 125967, 125955, 125970, 125969, 125922, 125930, 125950, 125491}, {125625, 125960, 125970, 125968, 125797, 125559, 125970, 125962, 125726, 125969, 125906, 125968}, {125969, 125969, 125679, 125966, 125970, 125970, 125743, 125960, 125923, 125520, 125968, 125743}, {125809, 125953, 125633, 125970, 125947, 125558, 125970, 125970, 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125970, 125442}, {125858, 125936, 125961, 125952, 125969, 125582, 125961, 125969, 125861, 125946, 125440, 125945}, {125671, 125643, 125970, 125968, 125942, 125968, 125964, 125969, 125442, 125962, 125969, 125912}, {125961, 125970, 125905, 125956, 125970, 125652, 125970, 125798, 125925, 125884, 125501, 125888}, {125539, 125946, 125970, 125970, 125967, 125829, 125961, 125969, 125920, 125885, 125968, 125456}, {125959, 125953, 125827, 125936, 125968, 125968, 125966, 125503, 125881, 125889, 125561, 125969}, {125961, 125969, 125961, 125960, 125668, 125949, 125784, 125959, 125844, 125889, 125468, 125968}, {125770, 125684, 125970, 125970, 125970, 125970, 125970, 125970, 125873, 125504, 125970, 125759}, {125625, 125969, 125970, 125907, 125923, 125548, 125970, 125748, 125879, 125968, 125905, 125968}, {125969, 125891, 125509, 125969, 125970, 125970, 125948, 125970, 125909, 125724, 125965, 125586}, {125945, 125953, 125951, 125953, 125969, 125453, 125969, 125924, 125916, 125632, 125969, 125746}, {125886, 125955, 125969, 125969, 125696, 125970, 125927, 125960, 125693, 125961, 125430, 125964}, {125873, 125505, 125960, 125970, 125929, 125961, 125969, 125482, 125888, 125945, 125953, 125945}, {125961, 125970, 125970, 125589, 125969, 125958, 125893, 125970, 125897, 125879, 125487, 125837}, {125808, 125935, 125969, 125961, 125961, 125952, 125970, 125582, 125895, 125961, 125953, 125433}, {125934, 125969, 125938, 125937, 125584, 125969, 125718, 125969, 125801, 125633, 125959, 125969}, {125809, 125956, 125462, 125966, 125970, 125970, 125970, 125665, 125769, 125956, 125918, 125969}, {125941, 125961, 125970, 125970, 125756, 125729, 125961, 125969, 125920, 125811, 125961, 125431}, {125963, 125970, 125912, 125966, 125970, 125970, 125471, 125969, 125814, 125698, 125708, 125969}, {125862, 125776, 125969, 125966, 125698, 125961, 125969, 125843, 125925, 125966, 125969, 125476}, {125839, 125624, 125920, 125970, 125970, 125969, 125472, 125961, 125812, 125967, 125915, 125961}, {125968, 125969, 125970, 125967, 125899, 125964, 125970, 125547, 125923, 125656, 125955, 125592}, {125761, 125922, 125967, 125961, 125970, 125970, 125970, 125535, 125917, 125925, 125969, 125513}, {125961, 125970, 125948, 125970, 125806, 125622, 125923, 125969, 125752, 125884, 125606, 125969}, {125969, 125959, 125970, 125965, 125582, 125953, 125970, 125962, 125775, 125808, 125506, 125961}, {125609, 125925, 125882, 125968, 125969, 125968, 125459, 125968, 125903, 125968, 125967, 125794}, {125510, 125963, 125970, 125914, 125970, 125952, 125970, 125915, 125925, 125969, 125527, 125795}, {125969, 125961, 125659, 125969, 125598, 125968, 125969, 125945, 125659, 125778, 125938, 125967}, {125890, 125970, 125665, 125970, 125970, 125968, 125970, 125693, 125881, 125512, 125922, 125969}, {125867, 125820, 125970, 125961, 125930, 125956, 125590, 125970, 125859, 125968, 125969, 125520}, {125966, 125942, 125968, 125969, 125698, 125948, 125970, 125635, 125881, 125485, 125969, 125949}, {125801, 125969, 125549, 125913, 125970, 125968, 125936, 125970, 125831, 125969, 125562, 125942}, {125881, 125456, 125961, 125907, 125945, 125968, 125969, 125970, 125482, 125953, 125953, 125935}, {125949, 125970, 125959, 125970, 125970, 125874, 125951, 125473, 125889, 125521, 125894, 125960}, {125810, 125970, 125449, 125953, 125937, 125953, 125945, 125969, 125553, 125936, 125936, 125969}, {125959, 125468, 125969, 125952, 125965, 125969, 125969, 125949, 125923, 125779, 125935, 125543}, {125961, 125589, 125894, 125970, 125970, 125940, 125508, 125970, 125809, 125872, 125969, 125928}, {125832, 125970, 125969, 125556, 125914, 125970, 125970, 125625, 125889, 125955, 125770, 125960}, {125801, 125969, 125682, 125953, 125638, 125970, 125953, 125722, 125925, 125969, 125953, 125845}, {125968, 125953, 125961, 125967, 125969, 125608, 125946, 125946, 125719, 125425, 125960, 125958}, {125858, 125958, 125938, 125961, 125850, 125970, 125970, 125524, 125888, 125969, 125534, 125960}, {125965, 125968, 125968, 125862, 125969, 125891, 125672, 125970, 125880, 125442, 125969, 125824}, {125968, 125926, 125968, 125969, 125962, 125969, 125970, 125502, 125923, 125831, 125588, 125804}, {125609, 125969, 125953, 125953, 125961, 125441, 125929, 125969, 125753, 125953, 125953, 125937}, {125881, 125961, 125832, 125753, 125970, 125662, 125944, 125969, 125925, 125969, 125770, 125744}, {125912, 125965, 125969, 125968, 125942, 125970, 125966, 125681, 125638, 125437, 125965, 125967}, {125609, 125964, 125969, 125968, 125793, 125969, 125958, 125776, 125881, 125576, 125969, 125948}, {125961, 125931, 125964, 125965, 125970, 125746, 125959, 125970, 125631, 125889, 125445, 125949}, {125545, 125970, 125968, 125968, 125960, 125957, 125661, 125970, 125780, 125677, 125968, 125956}, {125961, 125509, 125969, 125940, 125966, 125953, 125961, 125771, 125879, 125889, 125614, 125968}, {125619, 125945, 125970, 125970, 125602, 125970, 125970, 125965, 125924, 125939, 125951, 125555}, {125960, 125969, 125936, 125647, 125970, 125603, 125952, 125961, 125753, 125731, 125945, 125953}, {125961, 125961, 125961, 125565, 125969, 125969, 125848, 125968, 125923, 125532, 125956, 125767}, {125667, 125952, 125922, 125970, 125485, 125968, 125970, 125919, 125684, 125969, 125968, 125906}, {125644, 125968, 125881, 125970, 125969, 125477, 125933, 125970, 125907, 125961, 125953, 125747}, {125969, 125952, 125970, 125436, 125948, 125970, 125969, 125916, 125639, 125737, 125937, 125937}, {125952, 125967, 125960, 125660, 125970, 125970, 125970, 125692, 125898, 125808, 125970, 125563}, {125881, 125969, 125970, 125970, 125680, 125937, 125668, 125969, 125817, 125952, 125606, 125961}, {125680, 125969, 125969, 125901, 125491, 125960, 125961, 125961, 125917, 125945, 125968, 125658}, {125969, 125531, 125968, 125970, 125970, 125970, 125577, 125925, 125763, 125863, 125905, 125969}, {125870, 125631, 125970, 125916, 125970, 125967, 125955, 125809, 125925, 125969, 125509, 125889}, {125969, 125949, 125615, 125935, 125955, 125963, 125969, 125969, 125489, 125635, 125968, 125964}, {125961, 125518, 125970, 125840, 125970, 125970, 125897, 125966, 125529, 125821, 125969, 125969}, {125888, 125970, 125834, 125970, 125639, 125941, 125970, 125968, 125925, 125961, 125770, 125544}, {125968, 125672, 125969, 125856, 125963, 125970, 125895, 125970, 125880, 125444, 125969, 125824}, {125708, 125969, 125615, 125970, 125970, 125962, 125970, 125556, 125879, 125969, 125846, 125966}, {125697, 125970, 125908, 125938, 125486, 125970, 125970, 125927, 125673, 125905, 125968, 125968}, {125961, 125554, 125970, 125967, 125969, 125857, 125603, 125970, 125924, 125887, 125910, 125808}, {125961, 125962, 125970, 125970, 125751, 125948, 125970, 125630, 125889, 125878, 125501, 125950}, {125809, 125968, 125471, 125908, 125970, 125967, 125879, 125970, 125597, 125950, 125969, 125922}, {125855, 125922, 125953, 125913, 125970, 125969, 125970, 125960, 125519, 125961, 125428, 125960}, {125960, 125958, 125952, 125970, 125604, 125930, 125697, 125961, 125917, 125640, 125970, 125821}, {125969, 125969, 125949, 125968, 125966, 125781, 125967, 125861, 125591, 125432, 125960, 125967}, {125783, 125567, 125970, 125933, 125961, 125969, 125961, 125958, 125917, 125969, 125945, 125447}, {125945, 125970, 125922, 125534, 125970, 125958, 125968, 125831, 125881, 125730, 125702, 125969}, {125825, 125891, 125969, 125970, 125920, 125968, 125945, 125953, 125592, 125953, 125968, 125426}, {125889, 125461, 125961, 125937, 125945, 125970, 125966, 125877, 125909, 125961, 125969, 125535}, {125869, 125970, 125970, 125968, 125968, 125550, 125969, 125964, 125715, 125529, 125960, 125948}, {125560, 125970, 125970, 125867, 125970, 125932, 125970, 125791, 125881, 125967, 125533, 125969}, {125968, 125736, 125968, 125970, 125640, 125970, 125703, 125970, 125840, 125857, 125970, 125788}, {125934, 125632, 125970, 125884, 125957, 125970, 125916, 125953, 125781, 125445, 125969, 125969}, {125817, 125969, 125952, 125961, 125970, 125567, 125969, 125935, 125895, 125968, 125906, 125471}},{{35, -34, -16, 42, -33, 3, -47, -42, 0, 19, 4, 50}, {-35, 34, 16, -42, 33, -3, 47, 42, 0, -19, -4, -50}, {-39, -15, 49, 9, -27, -29, 46, 13, 8, 50, 3, 48}, {39, 15, -49, -9, 27, 29, -46, -13, -8, -50, -3, -48}, {-13, -19, -40, 46, -32, -46, 25, 21, -23, 12, -25, -21}, {13, 19, 40, -46, 32, 46, -25, -21, 23, -12, 25, 21}, {19, 12, 26, -7, 19, -11, -47, 17, -31, 36, -28, -19}, {-19, -12, -26, 7, -19, 11, 47, -17, 31, -36, 28, 19}, {31, -31, -18, -22, 25, -12, 20, 5, -7, -10, 4, 4}, {-31, 31, 18, 22, -25, 12, -20, -5, 7, 10, -4, -4}, {31, 17, 25, -49, 13, 14, -3, 21, 3, -47, 15, 21}, {-31, -17, -25, 49, -13, -14, 3, -21, -3, 47, -15, -21}, {13, -26, 10, 5, -3, -1, -47, 7, 1, -3, -38, 38}, {-13, 26, -10, -5, 3, 1, 47, -7, -1, 3, 38, -38}, {6, 7, -20, -13, -13, 34, 0, -23, -48, 2, 32, -31}, {-6, -7, 20, 13, 13, -34, 0, 23, 48, -2, -32, 31}, {-34, -39, 27, 17, -25, 40, -8, 35, -47, 7, 49, -5}, {34, 39, -27, -17, 25, -40, 8, -35, 47, -7, -49, 5}, {-31, 0, 13, 6, -8, -25, -2, 34, 1, -26, 16, -44}, {31, 0, -13, -6, 8, 25, 2, -34, -1, 26, -16, 44}, {46, 46, -2, 0, -43, -22, -36, -3, 15, 37, -34, 24}, {-46, -46, 2, 0, 43, 22, 36, 3, -15, -37, 34, -24}, {-50, 28, 46, -45, -41, -48, 0, -33, -7, 22, -9, 17}, {50, -28, -46, 45, 41, 48, 0, 33, 7, -22, 9, -17}, {1, 15, -8, -11, 26, -49, 20, -8, 24, -15, 49, -8}, {-1, -15, 8, 11, -26, 49, -20, 8, -24, 15, -49, 8}, {-23, -39, -18, 14, -16, 2, 6, -19, 2, 16, 32, 25}, {23, 39, 18, -14, 16, -2, -6, 19, -2, -16, -32, -25}, {31, 1, 36, 25, 50, 12, 38, -27, 5, 37, 3, -48}, {-31, -1, -36, -25, -50, -12, -38, 27, -5, -37, -3, 48}, {-3, -15, -49, -5, 40, 45, -6, -42, -35, 7, -20, 41}, {3, 15, 49, 5, -40, -45, 6, 42, 35, -7, 20, -41}, {-31, 9, -40, -28, 17, -19, -50, 11, -26, -40, -42, 46}, {31, -9, 40, 28, -17, 19, 50, -11, 26, 40, 42, -46}, {-19, -31, -24, 3, 18, 12, -40, 33, -11, 28, 0, 33}, {19, 31, 24, -3, -18, -12, 40, -33, 11, -28, 0, -33}, {-11, -11, 27, -6, 42, 48, 32, -38, 18, -1, 28, -26}, {11, 11, -27, 6, -42, -48, -32, 38, -18, 1, -28, 26}, {9, -7, 16, -16, -32, -8, 35, -9, -23, -26, -37, -8}, {-9, 7, -16, 16, 32, 8, -35, 9, 23, 26, 37, 8}, {-47, -31, 46, -19, 49, -2, 21, 8, 49, 24, -13, 0}, {47, 31, -46, 19, -49, 2, -21, -8, -49, -24, 13, 0}, {-16, 12, -22, 6, 28, 16, 41, -12, 29, -37, -14, 36}, {16, -12, 22, -6, -28, -16, -41, 12, -29, 37, 14, -36}, {20, -11, 50, 25, -26, 19, 14, -28, 24, -31, 33, 7}, {-20, 11, -50, -25, 26, -19, -14, 28, -24, 31, -33, -7}, {-20, -39, -12, -29, -28, 28, 25, 49, -50, 6, 2, -11}, {20, 39, 12, 29, 28, -28, -25, -49, 50, -6, -2, 11}, {-6, 49, -37, -9, -31, -12, -34, -3, -50, 21, 6, 29}, {6, -49, 37, 9, 31, 12, 34, 3, 50, -21, -6, -29}, {6, -23, -22, 46, 24, -25, -50, 40, -28, 1, 20, -7}, {-6, 23, 22, -46, -24, 25, 50, -40, 28, -1, -20, 7}, {-43, -23, -49, -40, -47, 16, -22, -26, 1, 35, -9, -15}, {43, 23, 49, 40, 47, -16, 22, 26, -1, -35, 9, 15}, {20, -13, -4, 27, -31, 26, 30, -47, 8, 46, -28, 18}, {-20, 13, 4, -27, 31, -26, -30, 47, -8, -46, 28, -18}, {35, -16, 19, 25, 4, 45, 16, -43, 2, -30, -45, -34}, {-35, 16, -19, -25, -4, -45, -16, 43, -2, 30, 45, 34}, {30, 0, -20, -31, 28, -48, -13, 32, 33, 46, -8, -16}, {-30, 0, 20, 31, -28, 48, 13, -32, -33, -46, 8, 16}, {-34, 31, 20, 14, -28, 44, 22, -8, 48, -27, 47, 25}, {34, -31, -20, -14, 28, -44, -22, 8, -48, 27, -47, -25}, {-41, 42, -8, 8, -19, -21, -36, 17, -16, -36, 30, -5}, {41, -42, 8, -8, 19, 21, 36, -17, 16, 36, -30, 5}, {-7, 2, 19, 35, -7, 44, 29, 15, 13, 5, 1, -5}, {7, -2, -19, -35, 7, -44, -29, -15, -13, -5, -1, 5}, {47, 37, 44, -37, 48, 35, -8, 40, 44, -22, 9, 19}, {-47, -37, -44, 37, -48, -35, 8, -40, -44, 22, -9, -19}, {-45, 2, -38, 50, 22, -41, -7, 28, 35, 14, 15, 18}, {45, -2, 38, -50, -22, 41, 7, -28, -35, -14, -15, -18}, {3, -13, -8, -46, 37, 26, 47, -47, -24, -14, 15, -41}, {-3, 13, 8, 46, -37, -26, -47, 47, 24, 14, -15, 41}, {-7, 41, 17, -14, -32, 8, 43, 35, 40, 29, 38, -3}, {7, -41, -17, 14, 32, -8, -43, -35, -40, -29, -38, 3}, {-15, -30, 18, -23, 16, -16, -22, -27, 41, 10, -37, 0}, {15, 30, -18, 23, -16, 16, 22, 27, -41, -10, 37, 0}, {-29, -41, 28, -41, 41, 17, -43, -22, -47, -38, 28, 35}, {29, 41, -28, 41, -41, -17, 43, 22, 47, 38, -28, -35}, {43, -24, 47, -23, -15, 27, -23, 39, 14, -40, 32, -3}, {-43, 24, -47, 23, 15, -27, 23, -39, -14, 40, -32, 3}, {-25, 47, -22, -16, -25, 38, 50, -10, -17, -11, 21, 13}, {25, -47, 22, 16, 25, -38, -50, 10, 17, 11, -21, -13}, {33, -8, 42, 16, -35, -1, 23, -37, 20, -4, -47, -6}, {-33, 8, -42, -16, 35, 1, -23, 37, -20, 4, 47, 6}, {-9, -15, 1, -16, 44, 36, 48, 8, -31, 3, -48, 4}, {9, 15, -1, 16, -44, -36, -48, -8, 31, -3, 48, -4}, {33, 46, -9, 14, -12, -25, -16, -34, -41, -19, 10, 27}, {-33, -46, 9, -14, 12, 25, 16, 34, 41, 19, -10, -27}, {-6, 15, -31, -46, 21, -17, 1, 8, 44, -10, -1, 47}, {6, -15, 31, 46, -21, 17, -1, -8, -44, 10, 1, -47}, {39, -45, -2, -9, -8, 50, 20, 12, 39, 42, 18, 8}, {-39, 45, 2, 9, 8, -50, -20, -12, -39, -42, -18, -8}, {-20, 40, 28, -8, 50, -1, 49, -12, 47, 35, -24, 43}, {20, -40, -28, 8, -50, 1, -49, 12, -47, -35, 24, -43}, {-30, -41, 14, -35, -19, 49, -27, 17, 14, -49, 2, 46}, {30, 41, -14, 35, 19, -49, 27, -17, -14, 49, -2, -46}}) i8 : quit