Magma V2.22-2 Sun Aug 9 2020 22:19:48 on zickert [Seed = 1177180036] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L12n893__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n893 geometric_solution 11.96423008 oriented_manifold CS_unknown 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 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 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 0.459162051503 0.860751249285 0 5 6 3 0132 0132 0132 2031 1 1 1 1 0 -1 1 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 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 0.243368154222 2.354071395964 7 0 8 6 0132 0132 0132 1302 1 1 1 1 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 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 0.485177137440 1.645235720166 9 1 10 0 0132 1302 0132 0132 1 1 1 1 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 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 0.506814563786 1.516298457930 10 6 0 9 1023 2103 0132 0132 1 1 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 1 -1 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 0.320202202425 0.553255546095 11 1 8 10 0132 0132 3201 1230 1 1 1 1 0 1 0 -1 0 0 -1 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 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 0.441182226062 0.552546315288 12 4 2 1 0132 2103 2031 0132 1 1 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 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 0.361491732247 1.054374118638 2 11 11 11 0132 0132 0321 0213 0 1 1 1 0 -1 0 1 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 -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 0.426177678798 0.418921961724 5 12 9 2 2310 3120 0213 0132 1 1 1 1 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 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 0.575381286954 1.234261122272 3 8 4 12 0132 0213 0132 1023 1 1 1 1 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 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 0.870701981458 1.594040800561 5 4 12 3 3012 1023 1023 0132 1 1 1 1 0 -1 0 1 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 -1 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 0.320202202425 0.553255546095 5 7 7 7 0132 0132 0321 0213 0 1 1 1 0 1 0 -1 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 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 0.426177678798 0.418921961724 6 8 10 9 0132 3120 1023 1023 1 1 1 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 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 0.607370671395 0.614296105027 ==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_5' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_11' : - d['c_0011_0'], 'c_0110_4' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_1001_3' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_1010_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0101_1'], 'c_0101_12' : d['c_0101_1'], 'c_1100_1' : - d['c_1001_0'], 'c_1100_6' : - 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_1010_0' : - d['c_0011_12'], 'c_1001_2' : - d['c_0011_12'], 'c_1001_4' : - d['c_0011_12'], 'c_1010_8' : - d['c_0011_12'], 'c_0011_6' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 'c_1100_9' : d['c_1100_0'], 'c_1100_12' : - d['c_1100_0'], 'c_1001_8' : - d['c_0101_10'], 'c_1001_12' : d['c_0101_10'], 'c_1010_4' : - d['c_0101_10'], 'c_1001_1' : d['c_0101_10'], 'c_1010_5' : d['c_0101_10'], 'c_1010_6' : d['c_0101_10'], 'c_1001_9' : - d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 'c_1010_1' : d['c_0011_3'], 'c_1001_5' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_0011_9' : - d['c_0011_3'], 'c_0101_8' : - d['c_0011_3'], 'c_0101_5' : - d['c_0101_2'], 'c_0110_11' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_5' : d['c_0011_10'], 'c_0101_11' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0110_2' : - d['c_0011_10'], 'c_0101_7' : - d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1100_2' : d['c_0101_6'], 'c_1100_8' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_1010_9' : d['c_0101_6'], 'c_1100_5' : - d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0101_3' : - d['c_0011_8'], 'c_0110_9' : - d['c_0011_8'], 'c_0110_10' : - d['c_0011_8'], 'c_1010_12' : - d['c_0011_8'], 'c_1100_7' : d['c_1001_11'], 'c_1010_7' : d['c_1001_11'], 'c_1001_11' : d['c_1001_11'], 'c_1001_7' : d['c_1001_11'], 'c_1010_11' : d['c_1001_11'], 'c_1100_11' : d['c_1001_11'], 's_2_10' : - d['1'], 's_3_9' : d['1'], 's_2_8' : d['1'], 's_1_8' : d['1'], 's_3_7' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_0_6' : - d['1'], 's_3_5' : d['1'], 's_2_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : d['1'], 's_0_4' : d['1'], 's_2_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_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_2_4' : d['1'], 's_1_5' : d['1'], 's_3_6' : - d['1'], 's_1_3' : d['1'], 's_0_7' : d['1'], 's_3_8' : d['1'], 's_2_6' : d['1'], 's_0_9' : d['1'], 's_3_10' : - d['1'], 's_1_10' : d['1'], 's_1_6' : d['1'], 's_2_9' : d['1'], 's_0_11' : d['1'], 's_0_8' : d['1'], 's_0_10' : d['1'], 's_0_12' : - d['1'], 's_1_11' : d['1'], 's_2_11' : d['1'], 's_3_11' : d['1'], 's_1_12' : d['1'], 's_1_9' : d['1'], 's_3_12' : d['1'], 's_2_12' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.480 Status: Saturating ideal ( 1 / 13 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.050 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 13 )... Time: 0.040 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 4 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 7 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 9 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 13 ] Status: Computing RadicalDecomposition Time: 0.110 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: 0.050 IDEAL=DECOMPOSITION=TIME: 1.340 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_6*c_1001_0 - c_1001_0*c_1100_0 + 1/2*c_0101_6 - 1/2*c_1001_0 + c_1100_0, c_1001_0^2 - 2*c_1001_0*c_1100_0 + 3*c_1100_0^2 + c_1100_0, c_0101_6*c_1100_0 - c_1100_0^2 + 1/2*c_0101_6 - 1/2*c_1001_0, c_0011_0 - 1, c_0011_10 + 2*c_1100_0, c_0011_12 - c_0101_6 + c_1001_0 + c_1100_0, c_0011_3 - c_0101_6 + 1, c_0011_8 - c_0101_6 + c_1001_0 - c_1100_0, c_0101_0 + c_1001_0 - c_1100_0, c_0101_1 - c_1001_0 + c_1100_0, c_0101_10 - c_1100_0, c_0101_2 - 2*c_1100_0 + 1, c_1001_11 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 144/29*c_1100_0^6 + 136/29*c_1100_0^5 + 136/29*c_1100_0^4 - 90/29*c_1100_0^3 - 28/29*c_1100_0^2 + 26/29*c_1100_0 - 105/116, c_0011_12 + 192/29*c_1100_0^6 - 104/29*c_1100_0^5 - 336/29*c_1100_0^4 + 120/29*c_1100_0^3 + 221/29*c_1100_0^2 - 79/58*c_1100_0 - 121/116, c_0011_3 - 16/29*c_1100_0^6 - 88/29*c_1100_0^5 + 144/29*c_1100_0^4 + 106/29*c_1100_0^3 - 132/29*c_1100_0^2 - 39/29*c_1100_0 + 143/116, c_0011_8 - 192/29*c_1100_0^6 + 104/29*c_1100_0^5 + 336/29*c_1100_0^4 - 120/29*c_1100_0^3 - 221/29*c_1100_0^2 + 79/58*c_1100_0 + 121/116, c_0101_0 - 32/29*c_1100_0^6 + 56/29*c_1100_0^5 + 56/29*c_1100_0^4 - 20/29*c_1100_0^3 - 61/29*c_1100_0^2 - 11/58*c_1100_0 + 25/116, c_0101_1 - 32/29*c_1100_0^6 + 56/29*c_1100_0^5 + 56/29*c_1100_0^4 - 20/29*c_1100_0^3 - 61/29*c_1100_0^2 - 11/58*c_1100_0 + 25/116, c_0101_10 + 64/29*c_1100_0^6 - 112/29*c_1100_0^5 - 112/29*c_1100_0^4 + 156/29*c_1100_0^3 + 64/29*c_1100_0^2 - 47/29*c_1100_0 + 2/29, c_0101_2 + 144/29*c_1100_0^6 - 136/29*c_1100_0^5 - 136/29*c_1100_0^4 + 90/29*c_1100_0^3 + 28/29*c_1100_0^2 - 26/29*c_1100_0 + 221/116, c_0101_6 + 208/29*c_1100_0^6 - 248/29*c_1100_0^5 - 248/29*c_1100_0^4 + 246/29*c_1100_0^3 + 150/29*c_1100_0^2 - 73/29*c_1100_0 - 61/116, c_1001_0 + 112/29*c_1100_0^6 - 80/29*c_1100_0^5 - 80/29*c_1100_0^4 + 70/29*c_1100_0^3 + 25/29*c_1100_0^2 - 63/58*c_1100_0 + 7/58, c_1001_11 - 1, c_1100_0^7 - c_1100_0^6 - 5/4*c_1100_0^5 + 9/8*c_1100_0^4 + 9/16*c_1100_0^3 - 7/16*c_1100_0^2 + 3/64*c_1100_0 + 3/128 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1100_0" ], [] ] 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 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 9 / 13 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 12 / 13 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 13 / 13 )... 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 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_0, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 2, c_0011_12 + 2/3*c_1001_0 + 1/3, c_0011_3 - 1/3*c_1001_0 + 1/3, c_0011_8 + 2/3*c_1001_0 - 5/3, c_0101_0 + c_1001_0 - 1, c_0101_1 - c_1001_0 + 1, c_0101_10 - 1, c_0101_2 - 1, c_0101_6 - 1/3*c_1001_0 - 2/3, c_1001_0^2 - 2*c_1001_0 + 4, c_1001_11 - 1, c_1100_0 - 1 ] ==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: 1.520 seconds, Total memory usage: 32.09MB