Magma V2.22-2 Sun Aug 9 2020 22:01:58 on zickert [Seed = 3316245462] Type ? for help. Type -D to quit. Loading file "v3305__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation v3305 geometric_solution 6.43488078 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2103 0132 0 0 0 0 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 -1 1 0 -1 0 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 0.486267742388 0.971993845289 0 2 5 4 0132 1302 0132 0132 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 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 -0.466036884304 0.683594292404 0 0 3 1 2103 0132 1302 2031 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588337224271 0.822867012273 2 6 0 6 2031 0132 0132 1023 0 0 0 0 0 0 -1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561600380278 0.456031575477 5 6 1 5 1302 3201 0132 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 -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 0.486267742388 0.971993845289 6 4 4 1 0132 2031 1230 0132 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 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 0.486267742388 0.971993845289 5 3 4 3 0132 0132 2310 1023 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 0 0 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 0.561600380278 0.456031575477 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1001_0' : - d['c_0011_0'], 'c_1010_2' : - 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_0101_0' : - d['c_0011_3'], 'c_0110_1' : - d['c_0011_3'], 'c_0101_2' : - d['c_0011_3'], 'c_0101_4' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0011_6' : - d['c_0011_3'], 'c_0011_5' : d['c_0011_3'], 'c_1010_1' : - d['c_0101_1'], 'c_1100_2' : d['c_0101_1'], 'c_1001_4' : - 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_0110_5' : d['c_0101_1'], 'c_0101_6' : d['c_0101_1'], 'c_1010_0' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_1001_3' : d['c_0110_3'], 'c_0110_3' : d['c_0110_3'], 'c_1010_6' : d['c_0110_3'], 'c_0011_4' : d['c_0011_4'], 'c_1001_1' : d['c_0011_4'], 'c_1100_0' : - d['c_0011_4'], 'c_0110_2' : d['c_0011_4'], 'c_1100_3' : - d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_1001_5' : - d['c_0110_4'], 'c_1100_1' : d['c_0110_4'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_0110_4'], 'c_1010_4' : - d['c_0101_5'], 'c_1010_3' : d['c_0101_5'], 'c_1001_6' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : d['1'], 's_0_4' : d['1'], 's_3_3' : d['1'], 's_1_3' : d['1'], 's_2_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_0_2' : d['1'], 's_2_3' : d['1'], 's_3_2' : - d['1'], 's_3_5' : d['1'], 's_2_4' : d['1'], 's_0_3' : d['1'], 's_1_6' : d['1'], 's_3_6' : d['1'], 's_1_5' : d['1'], 's_2_6' : d['1'], 's_2_5' : d['1'], 's_0_6' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.020 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: 0.010 Status: Saturating ideal ( 3 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 7 )... Time: 0.010 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: 0.030 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: 0.010 IDEAL=DECOMPOSITION=TIME: 0.350 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_5, c_0110_3, c_0110_4 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0011_4^2 - c_0011_4*c_0110_4 + c_0110_4^2 + c_0011_4 - c_0110_4 + 1, c_0011_0 - 1, c_0011_3 + c_0011_4 - c_0110_4 + 1, c_0101_1 - c_0110_4 + 1, c_0101_5 + c_0110_4, c_0110_3 - 1 ], 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_5, c_0110_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + 1/2*c_0110_3^7 + 3/2*c_0110_3^6 - 3*c_0110_3^4 - 5/2*c_0110_3^3 + 1/2*c_0110_3^2 + 3/2*c_0110_3 + 1/2, c_0011_4 + 1/2*c_0110_3^7 + 3/2*c_0110_3^6 - 3*c_0110_3^4 - 5/2*c_0110_3^3 + 1/2*c_0110_3^2 + 3/2*c_0110_3 + 1/2, c_0101_1 - c_0110_3^5 - 2*c_0110_3^4 + c_0110_3^3 + 2*c_0110_3^2 + 2*c_0110_3, c_0101_5 - c_0110_3, c_0110_3^8 + 4*c_0110_3^7 + 3*c_0110_3^6 - 4*c_0110_3^5 - 7*c_0110_3^4 - 6*c_0110_3^3 + 1, c_0110_4 + 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0110_4" ], [] ] 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: 0.000 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: 0.000 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: 0.010 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: 0.000 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: 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_4, c_0101_1, c_0101_5, c_0110_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + c_0011_4 - 1, c_0011_4^2 - c_0011_4 + 3, c_0101_1 - 1, c_0101_5 + 2, c_0110_3 - 1, c_0110_4 - 2 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 0 ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.380 seconds, Total memory usage: 32.09MB