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Loading file "K12n850__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n850 geometric_solution 8.93345643 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085328207133 0.908458399548 0 5 6 5 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135111795873 0.490944339490 7 0 6 8 0132 0132 1302 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 1 0 -1 0 1 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 1.393170625171 1.020346769478 6 7 8 0 1023 0321 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364701571696 0.748974717137 9 9 0 7 0132 1302 0132 3012 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 1 -1 0 0 0 0 0 -1 0 1 13 -14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.085328207133 0.908458399548 8 1 9 1 0132 0132 0321 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239535004648 1.344778759026 2 3 9 1 2031 1023 3012 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 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 -0.808065841508 1.352701916933 2 8 4 3 0132 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658635723034 0.776487840010 5 7 2 3 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.734621248714 0.513233523611 4 6 5 4 0132 1230 0321 2031 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 -13 -1 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550370149365 0.546631468195 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['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' : 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' : d['c_0101_7'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : d['c_1001_9'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : d['c_1001_0'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_1001_7'], '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' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : 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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_5']), 'c_0101_8' : d['c_0101_7'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_1001_0, c_1001_7, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 139914038936004/556756163875*c_1001_9^6 + 551074788903341/556756163875*c_1001_9^5 + 5841561556027593/556756163875*c_1001_9^4 + 43151359722318019/556756163875*c_1001_9^3 + 141143568658564437/556756163875*c_1001_9^2 + 158380296150277634/556756163875*c_1001_9 + 44218981377157268/556756163875, c_0011_0 - 1, c_0011_3 - 35515469/4454049311*c_1001_9^6 - 110210641/4454049311*c_1001_9^5 - 1413005329/4454049311*c_1001_9^4 - 9783181600/4454049311*c_1001_9^3 - 28311580613/4454049311*c_1001_9^2 - 20638502734/4454049311*c_1001_9 - 486523503/4454049311, c_0011_4 + 4343887/4454049311*c_1001_9^6 + 34591484/4454049311*c_1001_9^5 + 228265711/4454049311*c_1001_9^4 + 1989447936/4454049311*c_1001_9^3 + 8971246127/4454049311*c_1001_9^2 + 13561215688/4454049311*c_1001_9 + 1815234615/4454049311, c_0101_0 - 8888053/4454049311*c_1001_9^6 - 29397375/4454049311*c_1001_9^5 - 340023939/4454049311*c_1001_9^4 - 2510370451/4454049311*c_1001_9^3 - 7181775156/4454049311*c_1001_9^2 - 3074948513/4454049311*c_1001_9 + 1890445832/4454049311, c_0101_1 + 33024866/4454049311*c_1001_9^6 + 108502626/4454049311*c_1001_9^5 + 1310067367/4454049311*c_1001_9^4 + 9412898353/4454049311*c_1001_9^3 + 27230000161/4454049311*c_1001_9^2 + 22466902515/4454049311*c_1001_9 + 4317008267/4454049311, c_0101_5 - 24136813/4454049311*c_1001_9^6 - 79105251/4454049311*c_1001_9^5 - 970043428/4454049311*c_1001_9^4 - 6902527902/4454049311*c_1001_9^3 - 20048225005/4454049311*c_1001_9^2 - 19391954002/4454049311*c_1001_9 - 1753404788/4454049311, c_0101_7 - 35515469/4454049311*c_1001_9^6 - 110210641/4454049311*c_1001_9^5 - 1413005329/4454049311*c_1001_9^4 - 9783181600/4454049311*c_1001_9^3 - 28311580613/4454049311*c_1001_9^2 - 20638502734/4454049311*c_1001_9 - 486523503/4454049311, c_1001_0 - 75444664/4454049311*c_1001_9^6 - 255461249/4454049311*c_1001_9^5 - 3036866962/4454049311*c_1001_9^4 - 21666622156/4454049311*c_1001_9^3 - 65334545313/4454049311*c_1001_9^2 - 57089789718/4454049311*c_1001_9 - 10113762937/4454049311, c_1001_7 + 36092187/4454049311*c_1001_9^6 + 119717746/4454049311*c_1001_9^5 + 1472304211/4454049311*c_1001_9^4 + 10224447619/4454049311*c_1001_9^3 + 31744488408/4454049311*c_1001_9^2 + 27517058160/4454049311*c_1001_9 + 6728147743/4454049311, c_1001_9^7 + 4*c_1001_9^6 + 42*c_1001_9^5 + 311*c_1001_9^4 + 1028*c_1001_9^3 + 1196*c_1001_9^2 + 392*c_1001_9 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB