Magma V2.22-2 Sun Aug 9 2020 22:01:58 on zickert [Seed = 3282568150] Type ? for help. Type -D to quit. Loading file "v3382__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation v3382 geometric_solution 6.55174329 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.550919524185 0.595835397802 0 1 1 4 0132 3201 2310 1230 0 0 0 0 0 1 0 -1 1 0 -1 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 -1 0 1 -1 0 1 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 0.694199761856 0.761354385046 5 0 3 6 0132 0132 1023 0132 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 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 0.101839048370 1.191670795605 6 5 2 0 0321 0321 1023 0132 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 -1 0 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 0.581706428681 0.452396594283 1 6 0 5 3012 0132 0132 0321 0 0 0 0 0 1 -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 0 0 0 0 -1 0 1 -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 0.806693095032 1.070312175810 2 4 6 3 0132 0321 1230 0321 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 -1 1 0 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 0.101839048370 1.191670795605 3 4 2 5 0321 0132 0132 3012 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 1 0 -1 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 -0.071193690391 0.833073786806 ==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_1100_1' : - d['c_0011_0'], 'c_0110_4' : - d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0101_0' : d['c_0011_4'], 'c_0110_1' : d['c_0011_4'], 'c_0110_3' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : - d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1001_1' : - 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_1010_4' : 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_6' : d['c_1001_0'], 'c_1010_5' : d['c_1001_0'], 'c_1010_0' : d['c_0101_3'], 'c_1001_2' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0110_2' : - d['c_0101_3'], 'c_0101_5' : - d['c_0101_3'], 'c_0101_6' : - d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_1100_2' : - d['c_1001_5'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_4' : d['c_1001_5'], 'c_1100_6' : - d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_0011_3' : d['c_0011_3'], 'c_0110_6' : - d['c_0011_3'], 'c_0101_2' : - d['c_0011_3'], 'c_0110_5' : - d['c_0011_3'], 'c_1001_3' : - d['c_0011_3'], 'c_1100_5' : - d['c_0011_3'], 's_2_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : 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_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_2_1' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_2_3' : d['1'], 's_2_6' : d['1'], 's_0_6' : d['1'], 's_3_5' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_3_6' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 7 )... Time: 0.010 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: 0.010 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.270 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_4, c_0101_1, c_0101_3, c_1001_0, c_1001_5 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_3^2*c_0101_3 - c_0011_3*c_1001_5^2 - c_0011_3^2 + 2*c_0011_3*c_0101_1 + 2*c_0011_3*c_0101_3 + c_1001_0^2 + c_0101_3*c_1001_5 - 2*c_1001_0*c_1001_5 - c_0011_3 + c_1001_5, c_1001_0^3 - c_0011_3*c_0101_3*c_1001_5 - 2*c_1001_0^2*c_1001_5 - c_0011_3*c_1001_5^2 + 2*c_0101_3*c_1001_5^2 + c_1001_5^3 - c_0011_3*c_0101_3 - c_1001_0^2 + 2*c_0101_3*c_1001_5 + c_1001_0*c_1001_5 + 2*c_1001_5^2 + c_0011_3 + c_1001_5, c_0011_3^2*c_1001_5 + c_0011_3*c_0101_3*c_1001_5 + c_1001_0^2*c_1001_5 - c_0101_3*c_1001_5^2 - c_1001_0*c_1001_5^2 - c_1001_5^3 + c_0011_3^2 + c_0011_3*c_0101_3 - c_1001_0^2 + c_0011_3*c_1001_5 + 3*c_0101_3*c_1001_5 + c_1001_0*c_1001_5 + 2*c_1001_5^2 + c_0011_3 + c_1001_5, c_0011_3*c_0101_1*c_1001_5 + c_0011_3*c_0101_1 + c_1001_0^2 - c_0011_3*c_1001_5 - c_0101_3*c_1001_5 - c_1001_0*c_1001_5 - c_1001_5^2 - c_0011_3, c_0101_1*c_1001_5^2 + c_0011_3*c_0101_3 + c_1001_0^2 - c_0011_3*c_1001_5 - c_0101_1*c_1001_5 - 2*c_0101_3*c_1001_5 - 2*c_1001_5^2 - 2*c_0011_3, c_0101_1^2 - c_0101_1 - 1, c_0101_1*c_0101_3 + c_0101_1*c_1001_5 - c_0101_3 + c_1001_0 - c_1001_5, c_0101_3^2 - c_1001_0^2 + c_0011_3*c_1001_5 + 2*c_0101_3*c_1001_5 + c_1001_0*c_1001_5 + c_1001_5^2 + c_0011_3, c_0011_3*c_1001_0 - c_1001_0^2 + c_0011_3*c_1001_5 + 2*c_0101_3*c_1001_5 + c_1001_0*c_1001_5 + c_1001_5^2 + c_0011_3 + c_1001_5, c_0101_1*c_1001_0 + c_0101_3 + c_1001_5, c_0101_3*c_1001_0 - c_0011_3*c_1001_5 - c_0011_3, c_0011_0 - 1, c_0011_4 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_5" ] ] 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: 0.010 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 7 )... Time: 0.010 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: 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: 0.000 ==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_4, c_0101_1, c_0101_3, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - 1/6*c_1001_0^3 + 1/6*c_1001_0^2 - 1/6*c_1001_0, c_0011_4 + 1, c_0101_1 - 1/12*c_1001_0^3 - 1/12*c_1001_0^2 + 7/12*c_1001_0 - 2/3, c_0101_3 - 1/3*c_1001_0^2 + 1/3*c_1001_0 - 1/3, c_1001_0^4 + c_1001_0^3 - 3*c_1001_0^2 + 4*c_1001_0 + 16, c_1001_5 - 1 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 1 ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.410 seconds, Total memory usage: 32.09MB