Magma V2.22-2 Sun Aug 9 2020 22:01:53 on zickert [Seed = 1396233169] Type ? for help. Type -D to quit. Loading file "v2469__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation v2469 geometric_solution 5.80606688 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 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 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 0.521760347331 1.541659513683 0 4 6 5 0132 0132 0132 0132 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 -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 0.809263563167 1.287432881891 6 0 6 0 2310 0132 3201 1023 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 -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 0.324039882003 0.337941933840 4 5 4 0 3201 3120 3120 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222585606139 0.924061168820 5 1 3 3 3201 0132 3120 2310 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 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 0 0 0 0 0.343706921383 0.151964658257 6 3 1 4 1230 3120 0132 2310 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789879312738 0.486825866449 2 5 2 1 2310 3012 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 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 0.521760347331 1.541659513683 ==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_4' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_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_1001_1' : - d['c_0101_0'], 'c_1010_4' : - d['c_0101_0'], 'c_1010_6' : - d['c_0101_0'], 'c_0101_2' : d['c_0011_5'], 'c_1001_6' : - d['c_0011_5'], 'c_0110_0' : - d['c_0011_5'], 'c_0101_1' : - d['c_0011_5'], 'c_1001_0' : - d['c_0011_5'], 'c_1010_2' : - d['c_0011_5'], 'c_1010_3' : - d['c_0011_5'], 'c_0110_6' : - d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_1010_0' : - d['c_0101_6'], 'c_1001_2' : - d['c_0101_6'], 'c_0110_2' : - d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_0101_4' : - d['c_0011_6'], 'c_0110_5' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1010_1' : - d['c_1001_3'], 'c_1001_4' : - d['c_1001_3'], 'c_1001_5' : - d['c_1001_3'], 'c_0101_3' : - d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1010_5' : - d['c_0011_3'], 's_0_5' : d['1'], 's_0_4' : d['1'], 's_2_3' : d['1'], 's_1_3' : d['1'], 's_0_3' : 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_3_2' : d['1'], 's_1_4' : d['1'], 's_3_6' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_0_6' : d['1'], 's_3_4' : d['1'], 's_1_5' : d['1'], 's_2_4' : d['1'], 's_3_5' : d['1'], 's_1_6' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 6 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 7 ] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.300 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_6, c_1001_3 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_3^2 + c_0011_6*c_1001_3 + c_1001_3^2 - c_0011_6 - c_1001_3 + 1, c_0011_3*c_0011_5 - c_0011_3*c_1001_3 + c_0011_3 - c_0101_6, c_0011_5^2 - c_1001_3^2 - c_0011_5 + 2*c_0011_6 + c_1001_3 - 1, c_0011_3*c_0011_6 - c_0011_3*c_1001_3 + c_0101_6*c_1001_3 + c_0011_3 - c_0101_6, c_0011_5*c_0011_6 - c_0011_6*c_1001_3 + c_0011_6 + c_1001_3 - 1, c_0011_6^2 - c_0011_6*c_1001_3 - c_1001_3^2 + c_0011_6 + 2*c_1001_3 - 1, c_0011_3*c_0101_6 - c_0011_6*c_1001_3 + c_0011_5, c_0011_5*c_0101_6 - c_0101_6*c_1001_3 - c_0011_3, c_0011_6*c_0101_6 + c_0011_3*c_1001_3 - c_0011_3, c_0101_6^2 + c_1001_3^2 + c_0011_5 - c_0011_6 - c_1001_3 + 1, c_0011_5*c_1001_3 - c_1001_3^2 - c_0011_5 + c_0011_6 + c_1001_3, c_0011_0 - 1, c_0101_0 - c_0101_6 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_3" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: -1 Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 2 ] ... Time: 0.000 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.000 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0101_0, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + 1/2*c_0101_6^3 + 5/2*c_0101_6, c_0011_5 + 1/2*c_0101_6^2 + 1/2, c_0011_6 - 1/2*c_0101_6^2 - 5/2, c_0101_0 - c_0101_6, c_0101_6^4 + 8*c_0101_6^2 + 11, c_1001_3 - 2 ] ==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: 0.370 seconds, Total memory usage: 32.09MB