Magma V2.19-8 Wed Aug 21 2013 01:07:38 on localhost [Seed = 189600273] Type ? for help. Type -D to quit. Loading file "L14n33576__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33576 geometric_solution 11.96417904 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 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 1 0 -1 1 0 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.009753578563 0.519140638068 0 4 6 5 0132 3120 0132 0132 1 0 0 1 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 -1 1 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.036177675616 1.925580593957 5 0 8 7 3120 0132 0132 0132 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 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 0.777161814391 1.143858992772 9 6 4 0 0132 2031 3201 0132 1 0 0 0 0 0 0 0 -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 0 0 0 2 0 -3 1 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.864148204242 0.852480706558 3 1 0 5 2310 3120 0132 0321 1 0 0 1 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 1 -1 0 0 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 1.135263673040 1.108363370002 10 4 1 2 0132 0321 0132 3120 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 0 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 0.182307584920 1.143994438474 3 7 8 1 1302 2103 2103 0132 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 0 0 0 0 0 -1 0 1 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 0.164084431737 0.842267909797 11 6 2 8 0132 2103 0132 0321 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 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 0.980548079733 0.622340842685 6 7 12 2 2103 0321 0132 0132 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 0 0 0 0 0 0 1 -1 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 0.980548079733 0.622340842685 3 11 11 10 0132 3201 3012 0321 1 0 0 0 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 4 -3 -1 -2 0 0 2 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 5 9 12 12 0132 0321 0213 0132 1 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 -1 0 -1 0 1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184164254743 1.012390822383 7 9 9 12 0132 1230 2310 1230 0 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 2 0 -2 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 11 10 10 8 3012 0213 0132 0132 1 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 1 0 -1 0 0 0 0 0 -1 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482593657383 0.598862445676 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_1001_10'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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' : 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_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_8'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_1001_8'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_1001_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_1001_1']), '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' : negation(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' : d['c_1001_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_1, c_1001_10, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 241939896097/247061672*c_1001_8^5 + 667303784965/11611898584*c_1001_8^4 + 2244613835969/5805949292*c_1001_8^3 + 166182984679/527813572*c_1001_8^2 - 1956242943961/11611898584*c_1001_8 + 1023476439625/11611898584, c_0011_0 - 1, c_0011_10 + 29845/2708*c_1001_8^5 + 13069/2708*c_1001_8^4 + 9163/1354*c_1001_8^3 + 803/677*c_1001_8^2 + 2417/2708*c_1001_8 + 4895/2708, c_0011_11 - 22043/2708*c_1001_8^5 - 91/1354*c_1001_8^4 - 3282/677*c_1001_8^3 - 1301/677*c_1001_8^2 - 203/2708*c_1001_8 + 97/677, c_0011_12 + 52217/2708*c_1001_8^5 + 17053/2708*c_1001_8^4 + 3997/677*c_1001_8^3 + 7551/1354*c_1001_8^2 + 299/2708*c_1001_8 - 935/2708, c_0011_3 + 5593/677*c_1001_8^5 + 996/677*c_1001_8^4 - 1169/1354*c_1001_8^3 + 5945/1354*c_1001_8^2 - 1059/1354*c_1001_8 - 207/1354, c_0011_4 - 2914/677*c_1001_8^5 - 11969/2708*c_1001_8^4 - 2284/677*c_1001_8^3 - 1897/1354*c_1001_8^2 - 569/1354*c_1001_8 + 1985/2708, c_0011_6 - 18189/2708*c_1001_8^5 - 275/677*c_1001_8^4 - 4595/1354*c_1001_8^3 + 291/1354*c_1001_8^2 - 1279/2708*c_1001_8 + 311/677, c_0101_0 - 1, c_0101_1 + 20915/2708*c_1001_8^5 + 3605/677*c_1001_8^4 + 2999/1354*c_1001_8^3 + 3423/1354*c_1001_8^2 + 617/2708*c_1001_8 - 655/677, c_0101_2 - 7755/1354*c_1001_8^5 - 11051/2708*c_1001_8^4 - 6537/1354*c_1001_8^3 - 2395/677*c_1001_8^2 - 1385/1354*c_1001_8 + 1129/2708, c_1001_1 - 3995/5416*c_1001_8^5 - 5257/5416*c_1001_8^4 + 1055/2708*c_1001_8^3 - 211/677*c_1001_8^2 + 1297/5416*c_1001_8 + 1573/5416, c_1001_10 + 22043/2708*c_1001_8^5 + 91/1354*c_1001_8^4 + 3282/677*c_1001_8^3 + 1301/677*c_1001_8^2 - 2505/2708*c_1001_8 - 97/677, c_1001_8^6 + 6/47*c_1001_8^5 + 25/47*c_1001_8^4 + 10/47*c_1001_8^3 - 1/47*c_1001_8^2 + 1/47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.520 seconds, Total memory usage: 32.09MB