Magma V2.28-2 Wed Oct 4 2023 11:23:23 on stavros-pc [Seed = 2314221108] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s435 geometric_solution 4.74594484 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.644083684025 0.315559475742 3 2 4 0 0132 3012 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 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 0.851807951824 0.911292162005 1 3 0 5 1230 3201 0132 0132 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 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 0.699615873205 0.162820091158 1 5 2 4 0132 2031 2310 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.895123382260 1.552491820062 5 5 3 1 3201 0132 2031 0132 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 1 -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 0.447561691130 0.776245910031 3 4 2 4 1302 0132 0132 2310 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 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 1.442547176846 0.966839840372 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0110_0' : d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_1001_0' : - d['c_0011_0'], 'c_1010_1' : - d['c_0011_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_1010_0' : - d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1001_2' : - d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_1010_3' : - d['c_0011_4'], 'c_0011_5' : - d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_5' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_3' : - d['c_0011_1'], 'c_0110_2' : d['c_0011_1'], 'c_0101_5' : d['c_0011_1'], 'c_0101_1' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_1001_4' : - d['c_0101_1'], 'c_1010_5' : - d['c_0101_1'], 'c_1001_1' : - d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1010_4' : - d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_0101_4' : d['c_0011_2'], 'c_1010_2' : - d['c_0011_2'], 'c_1001_3' : d['c_0011_2'], 'c_1001_5' : - d['c_0011_2'], 'c_0110_5' : - d['c_0011_2'], 's_1_4' : - d['1'], 's_0_4' : d['1'], 's_3_3' : d['1'], 's_1_3' : d['1'], 's_3_2' : - d['1'], 's_1_2' : d['1'], 's_2_1' : - d['1'], 's_1_1' : d['1'], 's_0_1' : d['1'], 's_3_0' : - d['1'], 's_2_0' : - d['1'], 's_0_0' : d['1'], 's_1_0' : d['1'], 's_3_1' : - d['1'], 's_2_2' : - d['1'], 's_0_3' : d['1'], 's_0_2' : d['1'], 's_3_4' : - d['1'], 's_2_3' : d['1'], 's_2_5' : - d['1'], 's_0_5' : d['1'], 's_2_4' : d['1'], 's_3_5' : d['1'], 's_1_5' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 6 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 6 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 6 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 6 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 6 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 6 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.010 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: 0.000 IDEAL=DECOMPOSITION=TIME: 0.070 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_1, c_0011_2, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_1 - 253/2572*c_0101_1^7 + 3755/2572*c_0101_1^5 - 9177/643*c_0101_1^3 + 1818/643*c_0101_1, c_0011_2 - 175/2572*c_0101_0*c_0101_1^7 + 2577/2572*c_0101_0*c_0101_1^5 - 12637/1286*c_0101_0*c_0101_1^3 + 2177/1286*c_0101_0*c_0101_1, c_0011_4 + 29/1286*c_0101_1^6 - 405/1286*c_0101_1^4 + 1870/643*c_0101_1^2 - 155/643, c_0101_0^2 + 29/1286*c_0101_1^6 - 405/1286*c_0101_1^4 + 1870/643*c_0101_1^2 - 798/643, c_0101_1^8 - 15*c_0101_1^6 + 148*c_0101_1^4 - 60*c_0101_1^2 + 8 ] ] 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: 0.060 seconds, Total memory usage: 32.09MB