Magma V2.22-2 Sun Aug 9 2020 22:20:42 on zickert [Seed = 2764580794] Type ? for help. Type -D to quit. Loading file "ptolemy_data_link/14_tetrahedra/9^2_38__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_38 geometric_solution 13.04040137 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 0 4 6 5 0132 2103 0132 0132 0 1 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 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 0.750000000000 0.661437827766 7 0 5 8 0132 0132 3012 0132 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 0 0 0 -1 0 1 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 0.897215284800 0.665456951153 9 10 6 0 0132 0132 1302 0132 1 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 0 0 0 0 1 0 -1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.250000000000 0.661437827766 10 1 0 6 3012 2103 0132 1302 1 1 0 0 0 0 -1 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 1 0 -1 0 0 1 -2 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.500000000000 1.322875655532 7 2 1 8 1023 1230 0132 1023 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 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 0.897215284800 0.665456951153 3 10 4 1 2031 1023 2031 0132 0 1 0 1 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 3 -2 -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 1.250000000000 0.661437827766 2 5 9 11 0132 1023 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 0 0 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945720298119 0.934419393744 12 13 2 5 0132 0132 0132 1023 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945720298119 0.934419393744 3 12 7 12 0132 1302 1023 3201 0 1 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 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 0.329483540958 0.802254557557 6 3 13 4 1023 0132 0132 1230 1 0 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 0 0 0 0 -1 0 1 -3 0 1 2 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 12 13 7 13 2103 0213 0132 2310 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 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329483540958 0.802254557557 8 9 11 9 0132 2310 2103 2031 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 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 0.329483540958 0.802254557557 11 8 11 10 3201 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 1 -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 0.329483540958 0.802254557557 ==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_1010_0' : - d['c_0011_0'], 'c_1001_2' : - d['c_0011_0'], 'c_1001_4' : - d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_5' : 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_5' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_3' : d['c_0101_1'], 'c_1010_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1010_13' : d['c_1001_0'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_4' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1001_1' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_1010_6' : d['c_0011_4'], 'c_0110_10' : d['c_0011_4'], 'c_1100_2' : - d['c_1001_5'], 'c_1010_1' : d['c_1001_5'], 'c_1010_4' : - d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_1100_8' : - d['c_1001_5'], 'c_1100_1' : d['c_1001_5'], 'c_1100_6' : d['c_1001_5'], 'c_1100_5' : d['c_1001_5'], 'c_0101_2' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_1010_5' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], 'c_0110_2' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 'c_1001_9' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 'c_0101_3' : - d['c_0011_10'], 'c_0110_9' : - d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], 'c_0011_3' : - d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : - d['c_0101_10'], 'c_0110_4' : - d['c_0101_10'], 'c_1100_10' : - d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0110_13' : d['c_0101_10'], 'c_1100_13' : - d['c_0101_10'], 'c_0110_5' : d['c_0110_5'], 'c_1010_7' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], 'c_1001_11' : d['c_0110_5'], 'c_1001_13' : d['c_0110_5'], 'c_1100_7' : d['c_0011_12'], 'c_1100_9' : - d['c_0011_12'], 'c_1100_11' : d['c_0011_12'], 'c_0011_8' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0011_13' : d['c_0011_12'], 'c_0110_11' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_9' : - d['c_0011_11'], 'c_1100_12' : d['c_0011_11'], 'c_1001_12' : d['c_0011_11'], 'c_0101_13' : d['c_0011_11'], 's_3_11' : d['1'], 's_1_11' : d['1'], 's_0_11' : d['1'], 's_2_10' : d['1'], 's_3_9' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_3_7' : d['1'], 's_2_7' : d['1'], 's_1_6' : - d['1'], 's_3_5' : d['1'], 's_0_5' : d['1'], 's_3_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_2_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_4' : d['1'], 's_3_6' : - d['1'], 's_2_5' : d['1'], 's_0_7' : d['1'], 's_1_5' : d['1'], 's_2_8' : d['1'], 's_0_9' : d['1'], 's_1_10' : - d['1'], 's_0_6' : d['1'], 's_3_10' : d['1'], 's_2_6' : d['1'], 's_1_7' : d['1'], 's_3_8' : d['1'], 's_0_10' : - d['1'], 's_2_9' : d['1'], 's_2_11' : d['1'], 's_0_12' : d['1'], 's_1_13' : d['1'], 's_3_12' : d['1'], 's_1_12' : d['1'], 's_3_13' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_0_13' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.150 Status: Saturating ideal ( 1 / 14 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 14 )... Time: 0.060 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 14 )... Time: 0.080 Status: Recomputing Groebner basis... Time: 0.040 Status: Saturating ideal ( 4 / 14 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 5 / 14 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 6 / 14 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 14 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 14 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 14 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 14 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 11 / 14 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 12 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 14 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 13 ] Status: Computing RadicalDecomposition Time: 0.050 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 1.070 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0110_5, c_1001_0, c_1001_5 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_4^3 - c_0011_11*c_0101_11^2 - c_0011_4*c_0101_11^2, c_0101_11^2*c_0110_5 + c_0011_4^2*c_1001_5 + c_0101_11^2, c_0101_10*c_0110_5*c_1001_0 + c_0101_6*c_0101_7 + c_0101_10*c_1001_0 + c_0101_7*c_1001_0 - c_0101_10 - c_0101_7, c_0011_11*c_1001_0*c_1001_5 + c_0101_10*c_0110_5 - c_0101_1 + c_0101_10 + 1, c_0011_11*c_1001_5^2 + c_0011_11*c_0101_11 + c_0011_4*c_0101_11, c_0011_4*c_1001_5^2 - c_0011_11*c_0101_11, c_0101_11*c_1001_5^2 - c_0011_4^2 + c_0101_11^2, c_1001_0*c_1001_5^2 - 1, c_1001_5^3 + c_0101_11*c_0110_5 + c_0101_11*c_1001_5 + c_0101_11, c_0011_11^2 + c_0011_4^2 - c_0101_11^2, c_0011_11*c_0011_4 + c_0101_11^2, c_0011_11*c_0101_1 - c_0101_11*c_0110_5 - c_0011_11 - c_0101_11, c_0011_4*c_0101_1 + c_0101_11*c_0110_5 + c_0101_11*c_1001_5 - c_0011_4 + c_0101_11, c_0101_1^2 + c_1001_5^2 - 2*c_0101_1 + 1, c_0011_11*c_0101_10 - c_1001_5^2 - c_0101_11, c_0011_4*c_0101_10 + c_1001_5^2, c_0101_1*c_0101_10 - c_0101_10 - c_1001_5, c_0101_10^2 + 1, c_0101_1*c_0101_11 - c_0011_11*c_1001_5 - c_0011_4*c_1001_5 - c_0101_11, c_0101_10*c_0101_11 + c_0011_11 + c_0011_4, c_0011_11*c_0101_6 + c_0011_11*c_1001_0 - c_0011_11 - c_0110_5 - c_1001_5 - 1, c_0011_4*c_0101_6 - c_0011_4 + c_0101_10 + c_1001_5, c_0101_1*c_0101_6 - c_0101_1 - 2*c_0101_6 - c_1001_0 + 1, c_0101_10*c_0101_6 + c_0101_10*c_1001_0 + c_1001_0*c_1001_5 - c_0101_10, c_0101_11*c_0101_6 - c_0101_10*c_0110_5 - c_0101_10 - c_0101_11 - c_0101_7 + c_1001_5, c_0101_6^2 + 2*c_0101_6*c_1001_0 + c_1001_0^2 - 2*c_0101_6 - c_1001_0 + 1, c_0011_11*c_0101_7 - c_0011_11*c_1001_5 + c_0011_4, c_0011_4*c_0101_7 - c_0011_4*c_1001_5 - c_0011_11 - c_0011_4, c_0101_1*c_0101_7 - c_0101_10*c_0110_5 + c_0011_4 - c_0101_10 - c_0101_7, c_0101_10*c_0101_7 - c_0011_11*c_1001_0 + c_0101_1 - c_0101_10 - 1, c_0101_11*c_0101_7 - c_0101_11*c_1001_5 - c_1001_5^2 - c_0101_11, c_0101_7^2 - c_1001_5^2 - c_0101_7 + 2*c_0110_5 + c_1001_5 + 3, c_0011_11*c_0110_5 - c_0011_4*c_1001_5 + c_0011_11, c_0011_4*c_0110_5 + c_0011_11*c_1001_5 + c_0011_4*c_1001_5 + c_0011_4, c_0101_1*c_0110_5 - c_0011_11 - c_0011_4 + c_0101_1 - c_0110_5 - 1, c_0101_6*c_0110_5 + c_0011_11*c_1001_0 + c_0110_5*c_1001_0 + c_0101_10 + c_0101_6 - c_0110_5 + c_1001_0 - 1, c_0101_7*c_0110_5 - c_0101_11 + c_0101_7 - c_0110_5 - c_1001_5 - 1, c_0110_5^2 + c_1001_5^2 + c_0101_11 + 2*c_0110_5 + 1, c_0011_4*c_1001_0 - c_0101_10, c_0101_1*c_1001_0 + c_0101_6 - 1, c_0101_11*c_1001_0 + c_0101_7 - c_1001_5, c_0101_1*c_1001_5 + c_0011_4 - c_1001_5, c_0101_10*c_1001_5 + c_0101_1 - 1, c_0101_6*c_1001_5 + c_1001_0*c_1001_5 - c_0101_10 - c_1001_5, c_0101_7*c_1001_5 - c_1001_5^2 + c_0110_5 + 1, c_0110_5*c_1001_5 - c_0101_11 + c_1001_5, c_0011_0 - 1, c_0011_10 - c_0101_1 + 1, c_0011_12 + c_0101_7 - c_0110_5 - c_1001_5 - 1, c_0101_0 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_0" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 14 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 14 / 14 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 1 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.010 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0110_5, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + c_0101_6, c_0011_11 + c_0101_6*c_0110_5 + 2*c_0101_6, c_0011_12 - 2*c_0110_5 - 2, c_0011_4 - c_0101_6, c_0101_0 - 1, c_0101_1 + c_0101_6 - 1, c_0101_10 - c_0101_6, c_0101_11 - c_0110_5 - 1, c_0101_6^2 + 1, c_0101_7 + c_0110_5, c_0110_5^2 + 3*c_0110_5 + 3, c_1001_0 - 1, c_1001_5 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 2.250 seconds, Total memory usage: 32.09MB