Magma V2.19-8 Tue Aug 20 2013 23:53:10 on localhost [Seed = 1899436693] Type ? for help. Type -D to quit. Loading file "L13n4844__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4844 geometric_solution 11.16464398 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 1 -1 0 -1 0 2 -1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971165508899 0.628378261282 0 5 7 6 0132 0132 0132 0132 1 0 1 1 0 0 0 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 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 0.782963657274 0.842795021803 8 0 7 9 0132 0132 2310 0132 1 0 1 1 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 -1 1 0 -2 0 0 2 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259627719349 0.682112536569 10 4 11 0 0132 0321 0132 0132 1 0 1 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 -1 1 2 0 0 -2 6 0 0 -6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884206663462 0.527637606787 11 5 0 3 2103 2310 0132 0321 1 0 1 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 0 0 0 0 1 -1 -5 5 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.137183626117 1.126044952700 9 1 6 4 1302 0132 2310 3201 1 1 1 1 0 0 0 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 0 1 0 -1 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230793228248 1.310490797851 10 5 1 9 2103 3201 0132 3120 1 0 1 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 0 0 0 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 0.527155012353 1.068039690710 11 2 8 1 0132 3201 3120 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 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 0.494235277226 0.585642868777 2 9 7 10 0132 1302 3120 2103 0 0 1 1 0 0 0 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 0 -1 0 1 2 0 0 -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 0.503419979615 0.933081375629 6 5 2 8 3120 2031 0132 2031 1 0 1 1 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 1 0 -2 1 0 0 0 0 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512604682004 1.280519882482 3 11 6 8 0132 3120 2103 2103 1 0 0 1 0 0 0 0 1 0 0 -1 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 -2 0 0 2 1 0 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884206663462 0.527637606787 7 10 4 3 0132 3120 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -6 5 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 0.619213316153 0.405443768842 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_0'], '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_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_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_2']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_3']), '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1437/184*c_1001_1^6 - 487/92*c_1001_1^5 + 12227/184*c_1001_1^4 + 7777/92*c_1001_1^3 - 9965/184*c_1001_1^2 - 11875/92*c_1001_1 + 29545/184, c_0011_0 - 1, c_0011_10 + 7/23*c_1001_1^6 - 17/46*c_1001_1^5 - 34/23*c_1001_1^4 - 31/23*c_1001_1^3 + 54/23*c_1001_1^2 - 47/46*c_1001_1 - 25/23, c_0011_11 - 1/92*c_1001_1^6 + 4/23*c_1001_1^5 - 5/92*c_1001_1^4 - 29/46*c_1001_1^3 - 57/92*c_1001_1^2 + 30/23*c_1001_1 - 3/92, c_0011_4 - 1/46*c_1001_1^6 - 7/46*c_1001_1^5 + 9/23*c_1001_1^4 + 17/23*c_1001_1^3 + 35/46*c_1001_1^2 - 41/46*c_1001_1 + 10/23, c_0011_9 + c_1001_1, c_0101_0 - 1, c_0101_1 + 3/92*c_1001_1^6 - 1/46*c_1001_1^5 - 31/92*c_1001_1^4 - 5/46*c_1001_1^3 + 79/92*c_1001_1^2 + 27/46*c_1001_1 - 37/92, c_0101_2 - 7/92*c_1001_1^6 + 5/23*c_1001_1^5 + 11/92*c_1001_1^4 - 19/46*c_1001_1^3 - 123/92*c_1001_1^2 + 26/23*c_1001_1 + 25/92, c_0101_3 + 1/23*c_1001_1^6 - 9/46*c_1001_1^5 - 13/46*c_1001_1^4 + 1/46*c_1001_1^3 + 45/46*c_1001_1^2 - 5/23*c_1001_1 + 3/23, c_0101_8 - 1/92*c_1001_1^6 + 4/23*c_1001_1^5 - 5/92*c_1001_1^4 - 29/46*c_1001_1^3 - 57/92*c_1001_1^2 + 30/23*c_1001_1 - 3/92, c_0110_5 - 10/23*c_1001_1^6 + 21/46*c_1001_1^5 + 107/46*c_1001_1^4 + 41/23*c_1001_1^3 - 87/23*c_1001_1^2 + 31/46*c_1001_1 + 101/46, c_1001_1^7 - c_1001_1^6 - 5*c_1001_1^5 - 5*c_1001_1^4 + 7*c_1001_1^3 - c_1001_1^2 - 3*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB