Magma V2.22-2 Sun Aug 9 2020 22:19:02 on zickert [Seed = 3218253782] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/10_tetrahedra/L14n38404__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38404 degenerate_solution 3.66386255 oriented_manifold CS_unknown 2 0 torus 0.000000000000 -0.000000000000 torus 0.000000000000 0.000000000000 10 1 1 2 2 0132 1230 0132 0321 1 1 1 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 0 0 0 0 -1 0 1 3 0 -1 -2 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999996498 1.999999996434 0 2 0 3 0132 1230 3012 0132 1 1 1 1 0 0 0 0 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 1 -1 0 -3 0 1 2 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799999997390 0.399999999434 3 0 1 0 3201 0321 3012 0132 1 1 1 1 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 -1 1 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.800000002309 0.400000002542 4 5 1 2 0132 0132 0132 2310 1 1 1 1 0 0 0 0 -1 0 1 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 2 0 -2 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499999999250 0.375000001466 3 6 7 5 0132 0132 0132 1302 0 1 1 1 0 0 0 0 1 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 0 -1 1 -2 0 2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.199999998765 0.400000004064 6 3 4 7 0132 0132 2031 2310 1 0 1 1 0 0 0 0 -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 0 0 0 4 0 -1 -3 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.199999998765 0.400000004064 5 4 7 8 0132 0132 3012 0132 0 0 1 1 0 0 0 0 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 0 0 0 -4 0 1 3 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.999999999234 0.000000004834 5 6 9 4 3201 1230 0132 0132 0 1 1 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 -1 0 1 2 0 0 -2 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5522016.470312250778 361148461.266391992569 9 9 6 9 2031 2031 0132 0321 0 0 0 1 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 0 0 0 0 0 -3 3 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.999999999989 -0.000000001178 8 8 8 7 1302 0321 1302 0132 0 1 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 -3 0 3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999999999989 0.000000001178 ==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_1001_1' : - d['c_0011_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_1001_2' : 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_3' : d['c_0101_0'], 'c_1010_3' : - d['c_0101_0'], 'c_0110_4' : d['c_0101_0'], 'c_1001_5' : - d['c_0101_0'], 'c_1010_0' : - d['c_0011_2'], 'c_0110_0' : - d['c_0011_2'], 'c_0101_1' : - d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_0' : - d['c_0011_2'], 'c_1100_1' : d['c_0011_2'], 'c_1010_2' : - d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1010_1' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_0110_3' : - d['c_0101_2'], 'c_0101_4' : - d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_0110_7' : - d['c_0101_2'], 'c_0011_3' : d['c_0011_3'], 'c_0011_4' : - d['c_0011_3'], 'c_0011_5' : - d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_7' : - d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1010_6' : d['c_0101_6'], 'c_1010_7' : d['c_0101_6'], 'c_1001_8' : d['c_0101_6'], 'c_0110_9' : - d['c_0101_6'], 'c_1010_4' : - d['c_0011_7'], 'c_1001_6' : - d['c_0011_7'], 'c_1100_5' : d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0110_6' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 'c_1100_9' : d['c_0101_5'], 'c_0110_8' : - d['c_0011_9'], 'c_1001_9' : - d['c_0011_9'], 'c_1010_8' : d['c_0011_9'], 'c_0011_9' : d['c_0011_9'], 'c_1100_6' : - d['c_0011_9'], 'c_1001_7' : d['c_0011_9'], 'c_1100_8' : - d['c_0011_9'], 'c_1010_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0101_9' : - d['c_0011_8'], 's_3_8' : - d['1'], 's_1_8' : d['1'], 's_0_8' : d['1'], 's_2_7' : - d['1'], 's_3_6' : - d['1'], 's_2_6' : d['1'], 's_3_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_2_4' : - d['1'], 's_1_4' : - d['1'], 's_1_3' : d['1'], 's_0_3' : 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_1_2' : - d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_3_3' : d['1'], 's_0_4' : d['1'], 's_1_5' : d['1'], 's_1_6' : - d['1'], 's_3_7' : - d['1'], 's_2_5' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_1_7' : d['1'], 's_2_8' : - d['1'], 's_3_9' : - d['1'], 's_2_9' : d['1'], 's_0_9' : d['1'], 's_1_9' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.020 Status: Saturating ideal ( 1 / 10 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 10 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 10 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 4 / 10 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 10 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 7 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 8 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 6 ] Status: Computing RadicalDecomposition Time: 0.000 Status: Number of components: 1 DECOMPOSITION=TYPE: RadicalDecomposition IDEAL=DECOMPOSITION=TIME: 0.440 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_2, c_0011_3, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_5^4 + c_0011_7*c_0011_9^2 + c_0011_9^2*c_0101_5 + 2*c_0011_9*c_0101_0*c_0101_5 + c_0011_2*c_0011_9 + 2*c_0011_9^2 - 3*c_0011_2*c_0101_5 - 2*c_0011_7*c_0101_5 - c_0101_0*c_0101_5 - c_0101_5^2 - c_0011_2 - c_0011_7 - c_0101_5 + 1, c_0011_2*c_0101_5^2 - c_0011_2*c_0011_9 - c_0011_9*c_0101_0 + 2*c_0011_2*c_0101_5 + c_0011_7*c_0101_5 + c_0101_0*c_0101_5 + c_0101_5^2 + c_0011_2 + c_0101_5, c_0011_7*c_0101_5^2 + c_0101_5^3 + c_0011_9*c_0101_0 + c_0011_2*c_0101_5 + c_0011_7*c_0101_5 + c_0101_5^2 + c_0011_7, c_0101_0*c_0101_5^2 + c_0011_2*c_0011_9 - c_0011_7*c_0011_9 - c_0011_2*c_0101_5 - c_0011_9*c_0101_5 + c_0101_2*c_0101_5 - c_0011_9 + c_0101_0, c_0101_2*c_0101_5^2 + c_0011_7*c_0011_9 + c_0011_9*c_0101_5 + c_0101_0*c_0101_5 + 2*c_0011_9 + c_0101_2, c_0011_2^2 + c_0011_2 + c_0011_7 + c_0101_0 + c_0101_2 + c_0101_5, c_0011_2*c_0011_7 + c_0011_2*c_0101_5 + 2*c_0011_2 + c_0011_7 + c_0101_0 + c_0101_5 + 1, c_0011_7^2 + 2*c_0011_7*c_0101_5 + c_0101_5^2 + c_0011_2 + c_0011_7 + c_0101_5 - 1, c_0011_2*c_0101_0 - c_0011_2 - c_0011_7 - c_0101_0 - c_0101_2 - c_0101_5 - 1, c_0011_7*c_0101_0 + c_0101_0*c_0101_5 - c_0011_2 + c_0101_2, c_0101_0^2 + c_0011_2 + c_0011_7 + c_0101_0 + c_0101_5 + 2, c_0011_2*c_0101_2 - c_0011_2 - c_0101_0, c_0011_7*c_0101_2 + c_0101_2*c_0101_5 + c_0101_0, c_0011_9*c_0101_2 + c_0011_7*c_0101_5 - 1, c_0101_0*c_0101_2 + c_0011_2 - c_0011_7 - c_0101_5 - 1, c_0101_2^2 + c_0011_7 + c_0101_5 + 2, c_0011_0 - 1, c_0011_3 - c_0101_2, c_0011_8 - c_0101_5 - 1, c_0101_6 - 1 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_0011_9" ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE Status: Finding witnesses for non-zero dimensional ideals... Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 10 )... Time: 0.010 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: 0.030 ==WITNESSES=FOR=COMPONENTS=BEGINS== ==WITNESSES=BEGINS== ==WITNESS=BEGINS== Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_2, c_0011_3, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_2 + 12/47*c_0101_5^9 + 409/517*c_0101_5^8 + 543/517*c_0101_5^7 + 480/517*c_0101_5^6 + 826/517*c_0101_5^5 + 2120/517*c_0101_5^4 + 2987/517*c_0101_5^3 + 3988/517*c_0101_5^2 + 1767/517*c_0101_5 + 1037/517, c_0011_3 + 32/517*c_0101_5^9 + 5/47*c_0101_5^8 - 35/517*c_0101_5^7 - 93/517*c_0101_5^6 + 92/517*c_0101_5^5 + 259/517*c_0101_5^4 - 16/47*c_0101_5^3 - 466/517*c_0101_5^2 - 768/517*c_0101_5 - 38/47, c_0011_7 + 3/47*c_0101_5^9 + 67/517*c_0101_5^8 + 7/47*c_0101_5^7 + 167/517*c_0101_5^6 + 324/517*c_0101_5^5 + 436/517*c_0101_5^4 + 500/517*c_0101_5^3 + 112/47*c_0101_5^2 + 994/517*c_0101_5 + 1164/517, c_0011_8 - c_0101_5 - 1, c_0011_9 - 1, c_0101_0 - 5/47*c_0101_5^9 - 190/517*c_0101_5^8 - 285/517*c_0101_5^7 - 294/517*c_0101_5^6 - 493/517*c_0101_5^5 - 1040/517*c_0101_5^4 - 1413/517*c_0101_5^3 - 2116/517*c_0101_5^2 - 1500/517*c_0101_5 - 765/517, c_0101_2 + 32/517*c_0101_5^9 + 5/47*c_0101_5^8 - 35/517*c_0101_5^7 - 93/517*c_0101_5^6 + 92/517*c_0101_5^5 + 259/517*c_0101_5^4 - 16/47*c_0101_5^3 - 466/517*c_0101_5^2 - 768/517*c_0101_5 - 38/47, c_0101_5^10 + 3*c_0101_5^9 + 4*c_0101_5^8 + 4*c_0101_5^7 + 7*c_0101_5^6 + 16*c_0101_5^5 + 23*c_0101_5^4 + 32*c_0101_5^3 + 16*c_0101_5^2 + 12*c_0101_5 + 3, c_0101_6 - 1 ] ==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: 2.450 seconds, Total memory usage: 32.09MB