Magma V2.22-2 Sun Aug 9 2020 22:20:18 on zickert [Seed = 1513559970] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L14n58211__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58211 geometric_solution 12.18044752 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 1 1 2 0 0 0 -1 1 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 -1 2 -1 1 0 -1 0 0 1 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920422307225 0.868437094957 0 4 0 5 0132 0132 3012 0132 0 1 0 2 0 1 -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 0 0 0 0 -3 3 0 -1 0 1 0 -3 2 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425224692986 0.542312147324 6 7 8 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 2 -2 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 0.043089777758 0.733147102884 4 4 0 7 0132 1302 0132 1023 1 1 0 2 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 -2 1 1 0 0 0 0 0 0 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920422307225 0.868437094957 3 1 9 3 0132 0132 0132 2031 0 1 2 0 0 -1 1 0 0 0 1 -1 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 3 -3 0 0 0 -2 2 -4 -1 0 5 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104636503288 1.141905699614 6 9 1 10 2103 2103 0132 0132 0 1 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 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.079890361982 1.359287294647 2 11 5 12 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849154681862 1.234048868269 12 2 10 3 3120 0132 1230 1023 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 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 0.043089777758 0.733147102884 10 9 10 2 1230 1023 2103 0132 1 1 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 2 0 -2 -1 0 0 1 2 -2 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691239004255 0.824610285858 8 5 12 4 1023 2103 2103 0132 0 1 0 0 0 1 0 -1 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 -3 0 3 -2 0 0 2 2 0 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358312214757 0.451017305258 8 8 5 7 2103 3012 0132 3012 0 1 1 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 1 0 -1 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398239175263 1.063580324842 12 6 11 11 1302 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.202805490091 0.800968612762 9 11 6 7 2103 2031 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621578752209 0.549947285860 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_3' : - d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_1001_1' : - d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_1010_4' : - d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_1010_0' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_1001_3' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1100_1' : - d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1100_5' : - d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1100_10' : - d['c_1001_0'], 'c_1100_0' : - d['c_0110_10'], 'c_1100_2' : - d['c_0110_10'], 'c_1100_3' : - d['c_0110_10'], 'c_1100_8' : - d['c_0110_10'], 'c_1100_7' : d['c_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0011_8' : d['c_0011_8'], 'c_1010_5' : - d['c_0011_8'], 'c_1010_1' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_5' : d['c_0011_8'], 'c_1010_9' : d['c_0011_8'], 'c_0011_9' : d['c_0011_8'], 'c_1001_10' : - d['c_0011_8'], 'c_0011_2' : d['c_0011_11'], 'c_0011_6' : - d['c_0011_11'], 'c_0011_7' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_1010_12' : d['c_0011_11'], 'c_1001_8' : d['c_0011_10'], 'c_0101_9' : d['c_0011_10'], 'c_0101_2' : d['c_0011_10'], 'c_0110_6' : d['c_0011_10'], 'c_0110_8' : d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0110_3' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_1010_7' : d['c_0101_4'], 'c_1010_8' : d['c_0101_4'], 'c_0110_9' : d['c_0101_4'], 'c_1010_3' : d['c_0110_12'], 'c_1100_4' : - d['c_0110_12'], 'c_0110_7' : d['c_0110_12'], 'c_1100_9' : - d['c_0110_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_11' : - d['c_0011_12'], 'c_0011_5' : d['c_0011_12'], 'c_1001_6' : d['c_0011_12'], 'c_1001_9' : d['c_0011_12'], 'c_1010_11' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0101_8' : d['c_0101_10'], 'c_0101_7' : d['c_0101_10'], 'c_0110_5' : d['c_0101_10'], 'c_1100_6' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1100_12' : - d['c_0101_10'], 'c_1010_10' : - d['c_0101_10'], 'c_0110_11' : d['c_0110_11'], 'c_1010_6' : - d['c_0110_11'], 'c_1001_11' : - d['c_0110_11'], 'c_1001_12' : - d['c_0110_11'], 'c_1100_11' : d['c_0110_11'], 's_2_11' : d['1'], 's_0_11' : d['1'], 's_2_9' : d['1'], 's_2_8' : - d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_2_7' : d['1'], 's_0_7' : d['1'], 's_3_6' : d['1'], 's_1_6' : d['1'], 's_3_5' : - d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_2_4' : d['1'], 's_3_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : d['1'], 's_2_2' : - d['1'], 's_1_2' : d['1'], 's_0_2' : d['1'], 's_3_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_2_1' : d['1'], 's_3_2' : - d['1'], 's_2_3' : d['1'], 's_1_4' : d['1'], 's_2_5' : - d['1'], 's_0_6' : d['1'], 's_1_7' : d['1'], 's_3_8' : - d['1'], 's_0_4' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_9' : d['1'], 's_2_6' : d['1'], 's_1_9' : d['1'], 's_2_10' : - d['1'], 's_1_11' : d['1'], 's_2_12' : d['1'], 's_3_12' : d['1'], 's_3_10' : d['1'], 's_1_10' : d['1'], 's_0_9' : d['1'], 's_0_10' : - d['1'], 's_0_12' : d['1'], 's_1_12' : d['1'], 's_3_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.070 Status: Saturating ideal ( 1 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 13 )... Time: 0.000 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.000 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: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.000 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: 0.030 IDEAL=DECOMPOSITION=TIME: 0.460 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_12, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0110_10, c_0110_11, c_0110_12, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 961/10*c_1001_0^5 - 2697/10*c_1001_0^4 - 3957/10*c_1001_0^3 - 1483/5*c_1001_0^2 - 213/2*c_1001_0 - 76/5, c_0011_11 + 744/5*c_1001_0^5 + 2213/5*c_1001_0^4 + 3353/5*c_1001_0^3 + 2669/5*c_1001_0^2 + 205*c_1001_0 + 158/5, c_0011_12 - 589/20*c_1001_0^5 - 1513/20*c_1001_0^4 - 2163/20*c_1001_0^3 - 386/5*c_1001_0^2 - 121/4*c_1001_0 - 69/10, c_0011_8 - c_1001_0 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 961/10*c_1001_0^5 - 2697/10*c_1001_0^4 - 3957/10*c_1001_0^3 - 1483/5*c_1001_0^2 - 213/2*c_1001_0 - 76/5, c_0101_4 + c_1001_0, c_0110_10 - c_1001_0 - 1, c_0110_11 - 4371/20*c_1001_0^5 - 13447/20*c_1001_0^4 - 20917/20*c_1001_0^3 - 4329/5*c_1001_0^2 - 1419/4*c_1001_0 - 571/10, c_0110_12 - 1, c_1001_0^6 + 109/31*c_1001_0^5 + 191/31*c_1001_0^4 + 190/31*c_1001_0^3 + 107/31*c_1001_0^2 + 32/31*c_1001_0 + 4/31 ] ] 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: 0.460 seconds, Total memory usage: 32.09MB