Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 273779753] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s058 geometric_solution 3.59712615 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 1.438633464769 0.082200079950 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 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 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 1.218408188284 0.107890122676 3 1 1 3 0132 0132 1023 1023 0 0 0 0 0 1 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 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 1.353784641236 0.510677516302 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.207552028640 0.411308753750 5 3 5 5 2310 0132 3201 2031 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 1 0 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 0.010465069028 1.021630262963 4 4 4 3 2310 1302 3201 0132 0 0 0 0 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 -1 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 0.010465069028 1.021630262963 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 15510356250232/317925546967*c_0101_3^13 - 138272785661904/317925546967*c_0101_3^12 - 195293690055511/953776640901*c_0101_3^11 + 1662378566621677/953776640901*c_0101_3^10 + 405121202313328/136253805843*c_0101_3^9 - 3618769797073415/953776640901*c_0101_3^8 - 6059708559941492/953776640901*c_0101_3^7 + 7563958039512286/953776640901*c_0101_3^6 + 262878595512651/45417935281*c_0101_3^5 - 1244576035122284/136253805843*c_0101_3^4 - 5428509823730492/953776640901*c_0101_3^3 + 1430482029884476/953776640901*c_0101_3^2 + 465980280871152/317925546967*c_0101_3 + 255757943933305/953776640901, c_0011_0 - 1, c_0011_1 + 63105407401/136253805843*c_0101_3^13 + 180577924981/45417935281*c_0101_3^12 + 92770265398/136253805843*c_0101_3^11 - 2224774583591/136253805843*c_0101_3^10 - 3086984396861/136253805843*c_0101_3^9 + 5690044052503/136253805843*c_0101_3^8 + 5976191643740/136253805843*c_0101_3^7 - 11673860201401/136253805843*c_0101_3^6 - 2897024609378/136253805843*c_0101_3^5 + 11478914479627/136253805843*c_0101_3^4 + 3081991934471/136253805843*c_0101_3^3 - 1660975126954/136253805843*c_0101_3^2 - 986184601336/136253805843*c_0101_3 - 64986740165/45417935281, c_0011_5 + 84404164165/136253805843*c_0101_3^13 + 738031919132/136253805843*c_0101_3^12 + 232731597814/136253805843*c_0101_3^11 - 1004685239999/45417935281*c_0101_3^10 - 1535573430652/45417935281*c_0101_3^9 + 2396325432564/45417935281*c_0101_3^8 + 9483780969511/136253805843*c_0101_3^7 - 5005055396053/45417935281*c_0101_3^6 - 6874136878978/136253805843*c_0101_3^5 + 5405301423732/45417935281*c_0101_3^4 + 6713805474154/136253805843*c_0101_3^3 - 955954954525/45417935281*c_0101_3^2 - 597817010130/45417935281*c_0101_3 - 257802387677/136253805843, c_0101_0 + 311036556808/136253805843*c_0101_3^13 + 2730809705468/136253805843*c_0101_3^12 + 952080204640/136253805843*c_0101_3^11 - 3704658824138/45417935281*c_0101_3^10 - 5834641728293/45417935281*c_0101_3^9 + 8654241140454/45417935281*c_0101_3^8 + 36435296994967/136253805843*c_0101_3^7 - 17894271364901/45417935281*c_0101_3^6 - 28689259367857/136253805843*c_0101_3^5 + 19561613034581/45417935281*c_0101_3^4 + 28769135977123/136253805843*c_0101_3^3 - 3425840025634/45417935281*c_0101_3^2 - 2646347175660/45417935281*c_0101_3 - 1267999370072/136253805843, c_0101_2 + 206180814208/136253805843*c_0101_3^13 + 1802369983633/136253805843*c_0101_3^12 + 569668585939/136253805843*c_0101_3^11 - 7325568501271/136253805843*c_0101_3^10 - 11286473778871/136253805843*c_0101_3^9 + 17439463407689/136253805843*c_0101_3^8 + 7712853660732/45417935281*c_0101_3^7 - 36002919457334/136253805843*c_0101_3^6 - 5681342741344/45417935281*c_0101_3^5 + 38377570571999/136253805843*c_0101_3^4 + 5780630232062/45417935281*c_0101_3^3 - 6557173597322/136253805843*c_0101_3^2 - 4922605611785/136253805843*c_0101_3 - 775019758693/136253805843, c_0101_3^14 + 9*c_0101_3^13 + 5*c_0101_3^12 - 35*c_0101_3^11 - 64*c_0101_3^10 + 71*c_0101_3^9 + 135*c_0101_3^8 - 147*c_0101_3^7 - 129*c_0101_3^6 + 168*c_0101_3^5 + 132*c_0101_3^4 - 12*c_0101_3^3 - 32*c_0101_3^2 - 10*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB