Magma V2.22-2 Sun Aug 9 2020 22:19:29 on zickert [Seed = 659191793] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/12_tetrahedra/L14n39098__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39098 geometric_solution 12.00659664 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 -1 1 -5 0 5 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 0.558949555494 0.835752352467 0 5 4 6 0132 0132 3012 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 5 0 -5 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 0.609446472527 0.754831903081 7 0 9 8 0132 0132 0132 0132 0 0 1 1 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 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558949555494 0.835752352467 9 10 8 0 0132 0132 0132 0132 0 0 1 1 0 0 0 0 1 0 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 -1 0 1 4 0 1 -5 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558949555494 0.835752352467 6 1 0 9 0132 1230 0132 0132 0 0 1 1 0 1 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 0 0 0 0 5 -1 -4 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.377772034475 0.914235654291 11 1 7 11 0132 0132 2310 3201 1 1 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 0 0 0 0 0 0 0 3 0 0 -3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847968263251 0.857926402952 4 11 1 9 0132 1230 0132 2031 1 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 0 0 0 0 0 0 0 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352476699939 0.801992081187 2 5 8 10 0132 3201 3012 3012 1 0 1 1 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 1 -1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609446472527 0.754831903081 10 7 2 3 3012 1230 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 0 0 0 1 0 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 0.377772034475 0.914235654291 3 6 4 2 0132 1302 0132 0132 0 0 1 1 0 -1 1 0 -1 0 1 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 -4 4 0 -4 0 4 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558949555494 0.835752352467 11 3 7 8 3120 0132 1230 1230 0 1 1 1 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 0 0 0 0 0 1 0 -1 -3 0 3 0 3 -2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609446472527 0.754831903081 5 5 6 10 0132 2310 3012 3120 1 1 1 1 0 0 0 0 1 0 0 -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 -1 0 1 -3 0 0 3 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417239144087 0.589604524794 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1100_5' : d['c_0011_0'], '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_0011_7' : d['c_0011_0'], 'c_0011_11' : - d['c_0011_0'], 'c_0110_4' : d['c_0101_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_9' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_1010_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1001_9' : d['c_0101_1'], 'c_1100_7' : - d['c_1001_0'], '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_1100_1' : - d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1100_6' : - d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_1100_0'], 'c_1001_1' : - d['c_0011_4'], 'c_1010_5' : - d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : - d['c_0011_4'], 'c_1001_11' : d['c_0011_4'], 'c_1010_1' : d['c_0101_10'], 'c_1001_5' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1010_7' : - d['c_0101_10'], 'c_1100_11' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_1100_10' : d['c_0101_2'], 'c_0110_2' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 'c_1001_3' : d['c_0101_7'], 'c_1010_10' : d['c_0101_7'], 'c_1010_8' : d['c_0101_7'], 'c_1010_6' : d['c_0011_10'], 'c_0110_5' : d['c_0011_10'], 'c_0101_11' : d['c_0011_10'], 'c_1010_11' : - 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_0101_5' : d['c_0011_8'], 'c_0110_11' : d['c_0011_8'], 'c_1001_7' : - d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0110_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_8' : d['1'], 's_3_7' : d['1'], 's_2_7' : d['1'], 's_3_6' : d['1'], 's_1_6' : d['1'], 's_3_5' : d['1'], 's_2_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_5' : d['1'], 's_1_4' : d['1'], 's_2_6' : d['1'], 's_0_7' : d['1'], 's_3_9' : d['1'], 's_2_8' : d['1'], 's_0_9' : d['1'], 's_1_10' : d['1'], 's_3_8' : d['1'], 's_0_6' : d['1'], 's_2_9' : d['1'], 's_0_11' : d['1'], 's_1_7' : d['1'], 's_1_11' : d['1'], 's_2_11' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 's_2_10' : d['1'], 's_3_10' : d['1'], 's_3_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.110 Status: Saturating ideal ( 1 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 12 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 4 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 5 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 7 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 8 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 12 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 12 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 12 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.010 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 2 DECOMPOSITION=TYPE: RadicalDecomposition Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.060 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.010 IDEAL=DECOMPOSITION=TIME: 0.780 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 13*c_1100_0^7 - 93/2*c_1100_0^6 - 370*c_1100_0^5 - 1661/2*c_1100_0^4 - 875*c_1100_0^3 - 997/2*c_1100_0^2 - 168*c_1100_0 - 28, c_0011_4 + 55/4*c_1100_0^7 + 195/4*c_1100_0^6 + 781/2*c_1100_0^5 + 3471/4*c_1100_0^4 + 1831/2*c_1100_0^3 + 2083/4*c_1100_0^2 + 695/4*c_1100_0 + 29, c_0011_8 - 21/4*c_1100_0^7 - 75/4*c_1100_0^6 - 299/2*c_1100_0^5 - 1341/4*c_1100_0^4 - 713/2*c_1100_0^3 - 845/4*c_1100_0^2 - 297/4*c_1100_0 - 27/2, c_0101_0 - 1, c_0101_1 - 9/4*c_1100_0^7 - 9*c_1100_0^6 - 267/4*c_1100_0^5 - 675/4*c_1100_0^4 - 775/4*c_1100_0^3 - 467/4*c_1100_0^2 - 79/2*c_1100_0 - 27/4, c_0101_10 - 13*c_1100_0^7 - 93/2*c_1100_0^6 - 370*c_1100_0^5 - 1661/2*c_1100_0^4 - 875*c_1100_0^3 - 997/2*c_1100_0^2 - 168*c_1100_0 - 29, c_0101_2 - 3*c_1100_0^7 - 11*c_1100_0^6 - 173/2*c_1100_0^5 - 399/2*c_1100_0^4 - 445/2*c_1100_0^3 - 267/2*c_1100_0^2 - 91/2*c_1100_0 - 15/2, c_0101_7 + 25/4*c_1100_0^7 + 22*c_1100_0^6 + 709/4*c_1100_0^5 + 1563/4*c_1100_0^4 + 1657/4*c_1100_0^3 + 955/4*c_1100_0^2 + 82*c_1100_0 + 55/4, c_1001_0 + 51/4*c_1100_0^7 + 87/2*c_1100_0^6 + 1427/4*c_1100_0^5 + 3035/4*c_1100_0^4 + 3043/4*c_1100_0^3 + 1655/4*c_1100_0^2 + 134*c_1100_0 + 85/4, c_1001_2 + 13/4*c_1100_0^7 + 12*c_1100_0^6 + 375/4*c_1100_0^5 + 871/4*c_1100_0^4 + 959/4*c_1100_0^3 + 555/4*c_1100_0^2 + 93/2*c_1100_0 + 31/4, c_1100_0^8 + 4*c_1100_0^7 + 30*c_1100_0^6 + 76*c_1100_0^5 + 95*c_1100_0^4 + 68*c_1100_0^3 + 30*c_1100_0^2 + 8*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 1, c_0011_4 - 2*c_1100_0^3 + 9*c_1100_0^2 - 13*c_1100_0 + 4, c_0011_8 + c_1100_0^2 - c_1100_0, c_0101_0 - 1, c_0101_1 - c_1100_0^3 + 4*c_1100_0^2 - 5*c_1100_0 + 1, c_0101_10 + c_1100_0^3 - 4*c_1100_0^2 + 6*c_1100_0 - 1, c_0101_2 - c_1100_0^2 + 2*c_1100_0 - 1, c_0101_7 - c_1100_0^3 + 3*c_1100_0^2 - 3*c_1100_0 + 1, c_1001_0 - c_1100_0^2 + 2*c_1100_0 - 1, c_1001_2 - 1, c_1100_0^4 - 5*c_1100_0^3 + 9*c_1100_0^2 - 6*c_1100_0 + 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=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.780 seconds, Total memory usage: 32.09MB