Magma V2.19-8 Tue Aug 20 2013 23:53:38 on localhost [Seed = 54880384] Type ? for help. Type -D to quit. Loading file "L13n6765__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6765 geometric_solution 10.07007854 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 0 2 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381926019727 0.864974182822 0 5 6 2 0132 0132 0132 3120 0 2 2 0 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 0 0 0 1 1 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569534262507 0.195608467851 1 0 5 3 3120 0132 3120 3120 2 2 2 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 -1 0 1 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278137050026 0.782433871404 2 7 8 0 3120 0132 0132 0132 2 2 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 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 0.478789416838 0.371731929001 7 5 0 8 3201 3012 0132 2310 2 2 2 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 1 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 -0.218358402671 2.106110212520 4 1 2 9 1230 0132 3120 0132 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.559603415946 0.455670222137 10 9 10 1 0132 0132 3012 0132 0 2 0 1 0 0 -1 1 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 -1 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429442677925 0.539413221763 10 3 11 4 2310 0132 0132 2310 2 0 2 2 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 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 0.858885355850 1.078826443527 4 8 8 3 3201 3201 2310 0132 2 2 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 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 0.157015038183 0.894067922043 11 6 5 11 2031 0132 0132 1230 0 2 1 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 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 1.096647358689 1.134680793704 6 6 7 11 0132 1230 3201 2031 2 2 1 0 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 -1 1 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 0.925474794037 0.874957381139 9 10 9 7 3012 1302 1302 0132 2 0 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.074525205963 0.874957381139 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_1'], '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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0011_4'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : d['c_0011_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0101_2']), 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_3'], '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_0011_4'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_2']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_8']), 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5032807673117/3391821362364160*c_1001_1^5 + 3062563515937/308347396578560*c_1001_1^4 - 591836227/26498604393470*c_1001_1^3 - 7514923100041/308347396578560*c_1001_1^2 + 600704004678981/3391821362364160*c_1001_1 + 394137771367999/678364272472832, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1812157/1903530010*c_1001_1^5 + 1028797/1903530010*c_1001_1^4 + 621456/190353001*c_1001_1^3 + 29511099/1903530010*c_1001_1^2 - 53120093/1903530010*c_1001_1 - 299971493/1903530010, c_0011_3 - 112093/951765005*c_1001_1^5 + 2630029/951765005*c_1001_1^4 - 3179464/951765005*c_1001_1^3 - 3844317/951765005*c_1001_1^2 - 14141872/190353001*c_1001_1 + 52304941/951765005, c_0011_4 + 79491/15602705*c_1001_1^5 + 165531/15602705*c_1001_1^4 + 385122/15602705*c_1001_1^3 + 171267/15602705*c_1001_1^2 + 12379288/15602705*c_1001_1 + 5436471/3120541, c_0011_8 - 1154151/951765005*c_1001_1^5 + 340459/190353001*c_1001_1^4 - 2482336/951765005*c_1001_1^3 + 7410164/190353001*c_1001_1^2 - 40771351/951765005*c_1001_1 - 788546972/951765005, c_0101_0 - 1, c_0101_1 + 26497/15602705*c_1001_1^5 + 55177/15602705*c_1001_1^4 + 128374/15602705*c_1001_1^3 + 57089/15602705*c_1001_1^2 - 6275374/15602705*c_1001_1 + 1812157/3120541, c_0101_2 - 26497/15602705*c_1001_1^5 - 55177/15602705*c_1001_1^4 - 128374/15602705*c_1001_1^3 - 57089/15602705*c_1001_1^2 - 9327331/15602705*c_1001_1 - 1812157/3120541, c_0101_3 + 1812157/951765005*c_1001_1^5 - 1028797/951765005*c_1001_1^4 - 1242912/190353001*c_1001_1^3 - 29511099/951765005*c_1001_1^2 + 53120093/951765005*c_1001_1 - 651793512/951765005, c_0101_8 + 1748892/951765005*c_1001_1^5 + 808804/951765005*c_1001_1^4 + 5836141/951765005*c_1001_1^3 + 27374748/951765005*c_1001_1^2 + 12753628/190353001*c_1001_1 + 593547556/951765005, c_1001_1^6 + 3*c_1001_1^5 + 4*c_1001_1^4 + c_1001_1^3 + 37*c_1001_1^2 + 371*c_1001_1 + 1220 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB