Magma V2.19-8 Tue Aug 20 2013 23:42:26 on localhost [Seed = 3052654814] Type ? for help. Type -D to quit. Loading file "L13n3119__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3119 geometric_solution 10.47112523 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 0 1 1 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 0 0 0 0 0 0 0 0 0 1 -1 -3 0 3 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 0.273916780376 0.938943420781 0 4 6 5 0132 0132 0132 0132 1 1 1 1 0 -1 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 0 -2 0 2 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222324863256 0.606590303535 5 0 7 0 1023 0132 0132 0213 0 1 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 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 0.273916780376 0.938943420781 4 8 9 0 3120 0132 0132 0132 0 1 1 1 0 -1 1 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 0 1 -1 2 0 1 -3 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491344536127 0.374905730582 5 1 9 3 0132 0132 3201 3120 1 1 1 1 0 1 0 -1 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 2 0 -2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.273916780376 0.938943420781 4 2 1 10 0132 1023 0132 0132 1 1 1 1 0 0 -1 1 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 -2 2 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595018651520 1.543560732019 10 7 8 1 1302 3120 1230 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799476530218 0.623595494083 8 6 10 2 0132 3120 2031 0132 0 1 1 1 0 1 -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 0 0 0 0 0 0 -1 1 3 0 -3 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 0.515387029157 0.666479057915 7 3 9 6 0132 0132 0321 3012 0 1 1 1 0 1 0 -1 -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 -3 0 3 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 0.273916780376 0.938943420781 4 10 8 3 2310 2031 0321 0132 0 1 1 1 0 1 0 -1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 -2 0 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515387029157 0.666479057915 9 6 5 7 1302 2031 0132 1302 1 1 0 1 0 0 -1 1 -1 0 1 0 -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 -2 3 -3 0 3 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159028900588 0.606128571416 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_0110_10'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0110_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_9']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_0'], 'c_1100_8' : negation(d['c_0110_10']), 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0101_7'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0011_9'], '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_2']), 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_9'], 'c_0110_8' : d['c_0101_7'], '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_1']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0110_10, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 12616576267/4871680*c_0110_10^6 + 7669149919/4871680*c_0110_10^5 + 90558143/55360*c_0110_10^4 - 42686530089/4871680*c_0110_10^3 - 125466098431/4871680*c_0110_10^2 + 3304294003/1217920*c_0110_10 - 20459560871/4871680, c_0011_0 - 1, c_0011_10 + 50/173*c_0110_10^6 - 9/173*c_0110_10^5 - 38/173*c_0110_10^4 + 143/173*c_0110_10^3 + 640/173*c_0110_10^2 + 377/173*c_0110_10 + 124/173, c_0011_3 + 4305/31313*c_0110_10^6 - 1588/31313*c_0110_10^5 - 3341/31313*c_0110_10^4 + 18177/31313*c_0110_10^3 + 38496/31313*c_0110_10^2 + 9987/31313*c_0110_10 - 2783/31313, c_0011_6 - 74/173*c_0110_10^6 + 41/173*c_0110_10^5 + 77/173*c_0110_10^4 - 267/173*c_0110_10^3 - 705/173*c_0110_10^2 + 51/173*c_0110_10 + 31/173, c_0011_9 - 2340/31313*c_0110_10^6 + 1736/31313*c_0110_10^5 + 3889/31313*c_0110_10^4 - 5516/31313*c_0110_10^3 - 24416/31313*c_0110_10^2 + 18029/31313*c_0110_10 + 13296/31313, c_0101_0 + 8738/31313*c_0110_10^6 + 690/31313*c_0110_10^5 - 8447/31313*c_0110_10^4 + 23060/31313*c_0110_10^3 + 110497/31313*c_0110_10^2 + 47678/31313*c_0110_10 + 5429/31313, c_0101_1 + 3868/31313*c_0110_10^6 + 1359/31313*c_0110_10^5 - 3431/31313*c_0110_10^4 + 7298/31313*c_0110_10^3 + 50583/31313*c_0110_10^2 + 46527/31313*c_0110_10 + 29889/31313, c_0101_2 - 9071/31313*c_0110_10^6 + 1484/31313*c_0110_10^5 + 8880/31313*c_0110_10^4 - 32998/31313*c_0110_10^3 - 96629/31313*c_0110_10^2 - 35598/31313*c_0110_10 - 8836/31313, c_0101_7 + 5664/31313*c_0110_10^6 - 1151/31313*c_0110_10^5 - 7647/31313*c_0110_10^4 + 22344/31313*c_0110_10^3 + 65683/31313*c_0110_10^2 + 4695/31313*c_0110_10 - 6651/31313, c_0110_10^7 - c_0110_10^5 + 3*c_0110_10^4 + 12*c_0110_10^3 + 5*c_0110_10^2 + c_0110_10 + 1, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB