Magma V2.19-8 Tue Aug 20 2013 16:18:28 on localhost [Seed = 1494795369] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2656 geometric_solution 5.92402190 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165862179823 0.764272757086 0 2 0 4 0132 2031 1023 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.446146893200 1.183904536400 1 0 4 5 1302 0132 2310 0132 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850606492508 0.485209817755 6 6 0 4 0132 3201 0132 1023 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 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 -0.077693167508 0.507184956391 5 2 1 3 0321 3201 0132 1023 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 -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 0.579613011356 1.882504322504 4 6 2 6 0321 1302 0132 2031 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 0 0 0 1 0 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.112990617919 0.505975047707 3 5 3 5 0132 1302 2310 2031 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 1 0 -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 0.185745958534 0.987875977585 ==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_2_6' : 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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_1100_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_1'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 159181/5603*c_1100_0^8 + 2825067/22412*c_1100_0^7 - 1101619/5603*c_1100_0^6 + 231895/431*c_1100_0^5 - 4317380/5603*c_1100_0^4 + 904173/1724*c_1100_0^3 - 7929257/22412*c_1100_0^2 + 291257/11206*c_1100_0 + 1267445/22412, c_0011_0 - 1, c_0011_3 - 865/1724*c_1100_0^8 + 2605/1724*c_1100_0^7 - 374/431*c_1100_0^6 + 2896/431*c_1100_0^5 - 4387/1724*c_1100_0^4 - 1049/862*c_1100_0^3 - 4889/1724*c_1100_0^2 - 9005/1724*c_1100_0 - 3693/1724, c_0011_4 + 727/862*c_1100_0^8 - 2593/862*c_1100_0^7 + 1251/431*c_1100_0^6 - 5287/431*c_1100_0^5 + 9465/862*c_1100_0^4 - 657/431*c_1100_0^3 + 4115/862*c_1100_0^2 + 3363/862*c_1100_0 + 1043/862, c_0101_0 + 276/431*c_1100_0^8 - 2203/862*c_1100_0^7 + 1436/431*c_1100_0^6 - 4606/431*c_1100_0^5 + 5360/431*c_1100_0^4 - 5747/862*c_1100_0^3 + 3527/862*c_1100_0^2 + 940/431*c_1100_0 - 175/862, c_0101_1 - 315/862*c_1100_0^8 + 1133/862*c_1100_0^7 - 529/431*c_1100_0^6 + 2174/431*c_1100_0^5 - 3775/862*c_1100_0^4 - 240/431*c_1100_0^3 - 455/862*c_1100_0^2 - 2497/862*c_1100_0 - 727/862, c_0101_6 + 977/1724*c_1100_0^8 - 3027/1724*c_1100_0^7 + 401/431*c_1100_0^6 - 2976/431*c_1100_0^5 + 4963/1724*c_1100_0^4 + 1501/431*c_1100_0^3 - 217/1724*c_1100_0^2 + 6713/1724*c_1100_0 + 2783/1724, c_1100_0^9 - 4*c_1100_0^8 + 5*c_1100_0^7 - 16*c_1100_0^6 + 19*c_1100_0^5 - 7*c_1100_0^4 + 5*c_1100_0^3 + 4*c_1100_0^2 - 2*c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB