Magma V2.19-8 Tue Aug 20 2013 16:14:10 on localhost [Seed = 2951623561] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s132 geometric_solution 4.15712331 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.337214272346 4.039257394225 0 1 0 1 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310865554538 0.160156758682 3 0 4 3 3201 0132 0132 3120 0 0 0 0 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 -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 0.287939041764 0.518882196579 2 4 0 2 3120 0132 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.287939041764 0.518882196579 5 3 5 2 0132 0132 1023 0132 0 0 0 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 1 -1 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.214109896737 0.494146804930 4 5 4 5 0132 1302 1023 2031 0 0 0 0 0 1 0 -1 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598432187672 0.261705702084 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), '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_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_3, c_0101_0, c_0101_2, c_0101_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 65263460505/52658145104*c_1001_2^10 - 178927322183/26329072552*c_1001_2^9 - 98076148881/26329072552*c_1001_2^8 + 3498401631619/52658145104*c_1001_2^7 + 6842036116923/52658145104*c_1001_2^6 - 10468466927567/52658145104*c_1001_2^5 - 3743622516501/13164536276*c_1001_2^4 + 512265056424/3291134069*c_1001_2^3 + 12071231102359/52658145104*c_1001_2^2 - 674931443917/26329072552*c_1001_2 - 313121828815/6582268138, c_0011_0 - 1, c_0011_3 - 971449679/13164536276*c_1001_2^10 - 1420272210/3291134069*c_1001_2^9 - 2533778971/6582268138*c_1001_2^8 + 49572040613/13164536276*c_1001_2^7 + 118373949503/13164536276*c_1001_2^6 - 109714821111/13164536276*c_1001_2^5 - 121916008915/6582268138*c_1001_2^4 + 11612932098/3291134069*c_1001_2^3 + 159816861693/13164536276*c_1001_2^2 + 3929467627/3291134069*c_1001_2 - 4406150272/3291134069, c_0101_0 - 126511785/6582268138*c_1001_2^10 - 619336485/6582268138*c_1001_2^9 + 41026977/3291134069*c_1001_2^8 + 7326159431/6582268138*c_1001_2^7 + 4797175741/3291134069*c_1001_2^6 - 15319889580/3291134069*c_1001_2^5 - 23195871943/6582268138*c_1001_2^4 + 19190266772/3291134069*c_1001_2^3 + 22118494375/6582268138*c_1001_2^2 - 21060399701/6582268138*c_1001_2 - 2618577441/3291134069, c_0101_2 - 606950685/6582268138*c_1001_2^10 - 1579134666/3291134069*c_1001_2^9 - 454666921/3291134069*c_1001_2^8 + 33049796429/6582268138*c_1001_2^7 + 55114488131/6582268138*c_1001_2^6 - 113357538443/6582268138*c_1001_2^5 - 57317276371/3291134069*c_1001_2^4 + 48871239602/3291134069*c_1001_2^3 + 89522228379/6582268138*c_1001_2^2 - 8586705621/3291134069*c_1001_2 - 6706843643/3291134069, c_0101_4 - 273184254/3291134069*c_1001_2^10 - 2999487445/6582268138*c_1001_2^9 - 925696350/3291134069*c_1001_2^8 + 14129675064/3291134069*c_1001_2^7 + 56864597649/6582268138*c_1001_2^6 - 77984536559/6582268138*c_1001_2^5 - 108030202365/6582268138*c_1001_2^4 + 21397389925/3291134069*c_1001_2^3 + 40317063859/3291134069*c_1001_2^2 + 3787540185/6582268138*c_1001_2 - 5942548053/3291134069, c_1001_2^11 + 6*c_1001_2^10 + 6*c_1001_2^9 - 51*c_1001_2^8 - 131*c_1001_2^7 + 99*c_1001_2^6 + 288*c_1001_2^5 - 4*c_1001_2^4 - 207*c_1001_2^3 - 62*c_1001_2^2 + 28*c_1001_2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB