Magma V2.22-2 Sun Aug 9 2020 22:19:44 on zickert [Seed = 2697766784] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L11n81__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n81 geometric_solution 11.47162836 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 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 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 0.257065864122 1.529085513636 0 5 2 6 0132 0132 1023 0132 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 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 6 0 1 7 3012 0132 1023 0132 0 1 0 1 0 0 0 0 -1 0 1 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 10 0 -11 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257065864122 1.529085513636 5 8 9 0 2310 0132 0132 0132 0 0 0 1 0 0 1 -1 0 0 0 0 -1 0 0 1 -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 1 0 0 -1 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893075688879 0.636009824757 8 10 0 11 0321 0132 0132 0132 0 0 1 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 0 1 0 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500000000000 1.322875655532 6 1 3 9 0321 0132 3201 2031 1 0 1 0 0 -1 1 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 11 -11 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 1.000000000000 1.000000000000 5 9 1 2 0321 2031 0132 1230 1 0 1 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 10 0 -10 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 0.786151377757 0.272019649514 10 8 2 10 3120 0213 0132 0132 0 1 1 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 1 0 -1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 4 3 7 12 0321 0132 0213 0132 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 -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 0.375000000000 0.330718913883 6 5 11 3 1302 1302 0132 0132 0 0 1 1 0 1 0 -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 -1 0 1 0 0 0 0 -10 0 0 10 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257065864122 0.529085513636 12 4 7 7 0213 0132 0132 3120 0 1 1 1 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 1 0 0 -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 0.250000000000 0.661437827766 12 12 4 9 1023 0321 0132 0132 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 -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 0.250000000000 0.661437827766 10 11 8 11 0213 1023 0132 0321 0 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 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 0 0 0 0.500000000000 1.322875655532 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0110_6' : - d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : - d['c_0101_0'], 'c_0011_7' : d['c_0011_7'], 'c_0110_0' : - d['c_0011_7'], 'c_0101_1' : - d['c_0011_7'], 'c_0101_4' : - d['c_0011_7'], 'c_1010_0' : - d['c_0011_7'], 'c_1001_2' : - d['c_0011_7'], 'c_1001_4' : - d['c_0011_7'], 'c_0101_8' : d['c_0011_7'], 'c_1010_10' : - d['c_0011_7'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1001_1' : d['c_0011_9'], 'c_1010_5' : d['c_0011_9'], 'c_0101_2' : d['c_0011_9'], 'c_1010_6' : d['c_0011_9'], 'c_0011_9' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_1010_1' : - d['c_0101_3'], 'c_1001_5' : - d['c_0101_3'], 'c_1001_6' : - d['c_0101_3'], 'c_0110_9' : d['c_0101_3'], 'c_0110_2' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_2' : - d['c_0101_7'], 'c_1100_6' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_1100_7' : - d['c_0101_7'], 'c_1100_10' : - d['c_0101_7'], 'c_0110_4' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1100_5' : - d['c_0011_3'], 'c_0011_8' : - d['c_0011_3'], 'c_0101_11' : d['c_0011_3'], 'c_1001_3' : d['c_0011_3'], 'c_1010_8' : d['c_0011_3'], 'c_1010_9' : d['c_0011_3'], 'c_1001_12' : d['c_0011_3'], 'c_0011_4' : - d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_1010_7' : d['c_1001_10'], 'c_1100_8' : d['c_1001_10'], 'c_1010_4' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_11' : d['c_1001_10'], 'c_1100_12' : d['c_1001_10'], 'c_0110_5' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1001_9' : - d['c_0011_6'], 'c_0101_9' : - d['c_0011_6'], 'c_0110_11' : - d['c_0011_6'], 'c_1010_11' : - d['c_0011_6'], 'c_1010_12' : - d['c_0011_6'], 'c_0011_11' : d['c_0011_11'], 'c_0110_7' : d['c_0011_11'], 'c_0110_10' : d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], 'c_0011_12' : d['c_0011_11'], 'c_0110_12' : - d['c_0011_11'], 's_1_11' : d['1'], 's_0_11' : d['1'], 's_0_10' : d['1'], 's_2_9' : d['1'], 's_3_8' : d['1'], 's_3_7' : d['1'], 's_1_7' : d['1'], 's_0_7' : - d['1'], 's_1_6' : d['1'], 's_3_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : - d['1'], 's_0_4' : d['1'], 's_2_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_3_2' : - d['1'], 's_0_2' : d['1'], 's_3_1' : d['1'], 's_2_1' : d['1'], 's_1_1' : d['1'], 's_3_0' : - d['1'], 's_2_0' : d['1'], 's_1_0' : - d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 's_1_2' : - d['1'], 's_3_3' : d['1'], 's_2_4' : - d['1'], 's_1_5' : d['1'], 's_2_2' : d['1'], 's_2_6' : d['1'], 's_3_6' : d['1'], 's_2_7' : - d['1'], 's_2_5' : d['1'], 's_1_8' : d['1'], 's_3_9' : d['1'], 's_0_8' : d['1'], 's_1_10' : - d['1'], 's_2_11' : d['1'], 's_0_6' : d['1'], 's_1_9' : d['1'], 's_0_9' : d['1'], 's_3_10' : - d['1'], 's_2_8' : d['1'], 's_2_10' : d['1'], 's_2_12' : d['1'], 's_3_11' : d['1'], 's_0_12' : d['1'], 's_1_12' : d['1'], 's_3_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.140 Status: Saturating ideal ( 1 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 3 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 13 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.040 IDEAL=DECOMPOSITION=TIME: 0.680 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_3, c_0101_7, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 2*c_1001_10*c_1100_0^3 + 2*c_1001_10*c_1100_0^2 + 2*c_1001_10*c_1100_0 - 2*c_1100_0^3 - 4*c_1100_0^2 - 2*c_1100_0 - 2, c_0011_11 + 2*c_1001_10*c_1100_0^3 + 2*c_1001_10*c_1100_0^2 - 2*c_1100_0^3, c_0011_3 - 2*c_1100_0^3 - 2*c_1100_0^2 - 2*c_1100_0 - 1, c_0011_6 - 2*c_1100_0^3 - 4*c_1100_0^2 - 2*c_1100_0 - 1, c_0011_7 - 2*c_1100_0^3 - 2*c_1100_0^2 - 2*c_1100_0 - 1, c_0011_9 + 2*c_1100_0^2, c_0101_0 - 1, c_0101_3 - 1, c_0101_7 + 2*c_1100_0^3 + 4*c_1100_0^2 + 2*c_1100_0 + 1, c_1001_0 - c_1100_0, c_1001_10^2 - 2*c_1001_10*c_1100_0^3 - 2*c_1001_10*c_1100_0^2 - 2*c_1001_10*c_1100_0 - c_1001_10 - 4*c_1100_0^2 - 2, c_1100_0^4 + 2*c_1100_0^3 + 2*c_1100_0^2 + c_1100_0 + 1/2 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.680 seconds, Total memory usage: 32.09MB