Magma V2.19-8 Tue Aug 20 2013 20:38:24 on localhost [Seed = 2496842443] Type ? for help. Type -D to quit. Loading file "11_433__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_433 geometric_solution 13.72756285 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 15 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -3 0 3 0 0 -3 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823233513160 0.999242523305 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757732627159 0.694619815803 8 0 5 9 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.765285024073 0.941907666188 10 11 8 0 0132 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 3 -3 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060689077061 1.165114342800 6 7 0 10 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 4 0 0 -4 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757732627159 0.694619815803 11 1 12 2 0213 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.539210254225 0.385856474657 4 12 1 7 0132 0132 0132 3120 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 0 4 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601129317632 0.540463523794 6 4 13 1 3120 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -4 0 1 3 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601129317632 0.540463523794 2 3 14 11 0132 0213 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776639593988 0.566575251988 12 10 2 13 0321 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.267815169304 1.974945575804 3 9 4 11 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395652046538 0.750870424479 5 3 10 8 0213 0132 0132 0213 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301631158307 0.350125912807 9 6 14 5 0321 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.182842831890 1.007391915059 14 9 14 7 2031 0321 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776639593988 0.566575251988 12 13 13 8 2310 1230 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159641550219 0.613059524818 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : d['c_0101_7'], 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0011_14']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_13'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_13'], 'c_1010_13' : d['c_1001_10'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0101_13'], 'c_1010_10' : d['c_1001_0'], 'c_1010_14' : d['c_0101_13'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_0'], 'c_0101_10' : d['c_0101_0'], 'c_0101_14' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_0011_14']), 'c_1100_8' : d['c_0101_13'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_14']), 'c_1100_4' : d['c_1010_8'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_1010_8'], 'c_1100_3' : d['c_1010_8'], 'c_1100_2' : negation(d['c_0011_14']), 'c_1100_14' : d['c_0101_13'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_8'], 'c_1100_10' : d['c_1010_8'], 'c_1100_13' : negation(d['c_0101_7']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1010_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_14']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0011_0'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0011_10'], 'c_0110_14' : negation(d['c_0101_12']), 'c_0101_12' : d['c_0101_12'], 's_3_12' : d['1'], 's_0_8' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0101_12']), 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_14, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_10, c_1001_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 252080244660722/512860369125*c_1001_5^9 + 886268188652489/512860369125*c_1001_5^8 + 1120775586332011/512860369125*c_1001_5^7 - 3613234506956/661755315*c_1001_5^6 - 13796542743859838/512860369125*c_1001_5^5 - 6086385033487818/170953456375*c_1001_5^4 - 5423916503789351/170953456375*c_1001_5^3 - 5350882027775156/512860369125*c_1001_5^2 + 1741434958344824/512860369125*c_1001_5 + 1437309739668727/512860369125, c_0011_0 - 1, c_0011_10 + 180795/658463*c_1001_5^9 - 703292/658463*c_1001_5^8 - 499899/658463*c_1001_5^7 + 2018700/658463*c_1001_5^6 + 9090812/658463*c_1001_5^5 + 10270531/658463*c_1001_5^4 + 9588491/658463*c_1001_5^3 + 1377148/658463*c_1001_5^2 - 394907/658463*c_1001_5 - 569666/658463, c_0011_12 - 213613/1975389*c_1001_5^9 + 652177/1975389*c_1001_5^8 + 1451423/1975389*c_1001_5^7 - 2653645/1975389*c_1001_5^6 - 12752182/1975389*c_1001_5^5 - 6232363/658463*c_1001_5^4 - 5015318/658463*c_1001_5^3 - 7707598/1975389*c_1001_5^2 + 1183483/1975389*c_1001_5 + 345230/1975389, c_0011_14 + 433819/658463*c_1001_5^9 - 1520709/658463*c_1001_5^8 - 1910704/658463*c_1001_5^7 + 4712882/658463*c_1001_5^6 + 23523081/658463*c_1001_5^5 + 31930823/658463*c_1001_5^4 + 30495176/658463*c_1001_5^3 + 13610331/658463*c_1001_5^2 + 1703318/658463*c_1001_5 + 111325/658463, c_0101_0 - 87520/151953*c_1001_5^9 + 313105/151953*c_1001_5^8 + 358991/151953*c_1001_5^7 - 961630/151953*c_1001_5^6 - 4666981/151953*c_1001_5^5 - 2042253/50651*c_1001_5^4 - 1984262/50651*c_1001_5^3 - 2609290/151953*c_1001_5^2 - 325031/151953*c_1001_5 + 16268/151953, c_0101_1 + 1597802/1975389*c_1001_5^9 - 5617265/1975389*c_1001_5^8 - 6697972/1975389*c_1001_5^7 + 16324499/1975389*c_1001_5^6 + 85599974/1975389*c_1001_5^5 + 40115591/658463*c_1001_5^4 + 41831068/658463*c_1001_5^3 + 63006434/1975389*c_1001_5^2 + 17019850/1975389*c_1001_5 + 2110904/1975389, c_0101_12 + 45613/151953*c_1001_5^9 - 126157/151953*c_1001_5^8 - 339794/151953*c_1001_5^7 + 432994/151953*c_1001_5^6 + 2871352/151953*c_1001_5^5 + 1649133/50651*c_1001_5^4 + 1576519/50651*c_1001_5^3 + 2903362/151953*c_1001_5^2 + 332165/151953*c_1001_5 + 134356/151953, c_0101_13 + 1597802/1975389*c_1001_5^9 - 5617265/1975389*c_1001_5^8 - 6697972/1975389*c_1001_5^7 + 16324499/1975389*c_1001_5^6 + 85599974/1975389*c_1001_5^5 + 40115591/658463*c_1001_5^4 + 41831068/658463*c_1001_5^3 + 63006434/1975389*c_1001_5^2 + 15044461/1975389*c_1001_5 + 2110904/1975389, c_0101_2 - 51403/1975389*c_1001_5^9 + 762409/1975389*c_1001_5^8 - 2084320/1975389*c_1001_5^7 - 2052637/1975389*c_1001_5^6 + 4299746/1975389*c_1001_5^5 + 8085140/658463*c_1001_5^4 + 8653661/658463*c_1001_5^3 + 26820110/1975389*c_1001_5^2 + 8221624/1975389*c_1001_5 + 2550413/1975389, c_0101_7 - 213613/1975389*c_1001_5^9 + 652177/1975389*c_1001_5^8 + 1451423/1975389*c_1001_5^7 - 2653645/1975389*c_1001_5^6 - 12752182/1975389*c_1001_5^5 - 6232363/658463*c_1001_5^4 - 5015318/658463*c_1001_5^3 - 7707598/1975389*c_1001_5^2 + 1183483/1975389*c_1001_5 + 345230/1975389, c_1001_0 + 166103/1975389*c_1001_5^9 - 812210/1975389*c_1001_5^8 + 184907/1975389*c_1001_5^7 + 2453624/1975389*c_1001_5^6 + 5969231/1975389*c_1001_5^5 + 221563/658463*c_1001_5^4 + 411938/658463*c_1001_5^3 - 1044157/1975389*c_1001_5^2 + 1976530/1975389*c_1001_5 + 2271734/1975389, c_1001_1 - 87520/151953*c_1001_5^9 + 313105/151953*c_1001_5^8 + 358991/151953*c_1001_5^7 - 961630/151953*c_1001_5^6 - 4666981/151953*c_1001_5^5 - 2042253/50651*c_1001_5^4 - 1984262/50651*c_1001_5^3 - 2609290/151953*c_1001_5^2 - 325031/151953*c_1001_5 + 16268/151953, c_1001_10 - c_1001_5, c_1001_5^10 - 3*c_1001_5^9 - 6*c_1001_5^8 + 8*c_1001_5^7 + 59*c_1001_5^6 + 103*c_1001_5^5 + 117*c_1001_5^4 + 79*c_1001_5^3 + 30*c_1001_5^2 + 6*c_1001_5 + 1, c_1010_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 70.190 Total time: 70.400 seconds, Total memory usage: 613.94MB