Magma V2.22-2 Sun Aug 9 2020 22:19:44 on zickert [Seed = 3669485440] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L12n1263__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1263 geometric_solution 12.45769009 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 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 -1 0 1 -1 0 1 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 0.351225157736 0.471257992298 0 5 7 6 0132 0132 0132 0132 1 0 1 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 1 0 -1 0 1 5 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104706546053 1.308265735794 8 0 5 9 0132 0132 0132 0132 1 0 1 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 1 -1 0 0 0 -2 2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714946111135 0.683607694923 10 6 11 0 0132 0321 0132 0132 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 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 0.714946111135 0.683607694923 12 9 0 10 0132 2031 0132 0132 1 0 1 0 0 1 0 -1 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 6 -1 -5 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104706546053 1.308265735794 10 1 11 2 3120 0132 3120 0132 1 0 0 1 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 -1 1 0 0 -2 2 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664957443354 0.911020048344 12 9 1 3 2103 0132 0132 0321 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391007153281 1.454697136342 12 9 11 1 3120 2310 0213 0132 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 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 0.318969961760 0.572924944351 2 10 12 11 0132 3120 0213 3120 1 0 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 0 0 0 0 0 0 0 -1 0 1 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 0.664957443354 0.911020048344 4 6 2 7 1302 0132 0132 3201 1 0 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 0 0 2 0 -2 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827676543477 0.641109597677 3 8 4 5 0132 3120 0132 3120 1 0 0 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 5 -5 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 0.664957443354 0.911020048344 8 7 5 3 3120 0213 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 2 -1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664957443354 0.911020048344 4 8 6 7 0132 0213 2103 3120 1 0 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318969961760 0.572924944351 ==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_8' : d['c_0011_0'], 'c_1010_10' : - d['c_0011_0'], 'c_0110_4' : d['c_0101_0'], 'c_0101_12' : 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_0101_6' : d['c_0101_0'], 'c_0101_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_7' : d['c_0101_1'], 'c_0110_12' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1001_9' : d['c_1001_0'], 'c_1010_6' : d['c_1001_0'], 'c_1010_0' : - d['c_0110_9'], 'c_1001_2' : - d['c_0110_9'], 'c_1001_4' : - d['c_0110_9'], 'c_1001_1' : - d['c_0110_9'], 'c_1010_5' : - d['c_0110_9'], 'c_1010_7' : - d['c_0110_9'], 'c_0110_9' : d['c_0110_9'], 'c_0101_5' : d['c_0101_5'], 'c_1100_0' : - d['c_0101_5'], 'c_1100_3' : - d['c_0101_5'], 'c_1100_4' : - d['c_0101_5'], 'c_1100_11' : - d['c_0101_5'], 'c_1100_10' : - d['c_0101_5'], 'c_1001_7' : d['c_1001_11'], 'c_1010_1' : - d['c_1001_11'], 'c_1001_5' : - d['c_1001_11'], 'c_1001_6' : - d['c_1001_11'], 'c_1001_11' : d['c_1001_11'], 'c_1010_9' : - d['c_1001_11'], 'c_1001_3' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1010_11' : d['c_1001_3'], 'c_0101_2' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_0101_3' : d['c_0101_2'], 'c_0110_10' : d['c_0101_2'], 'c_0110_11' : d['c_0101_2'], 'c_0011_4' : - d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_0110_2' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 'c_0101_9' : d['c_0011_12'], 'c_1100_8' : - d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_1010_12' : - d['c_0011_7'], 'c_1100_2' : - d['c_0011_7'], 'c_1100_5' : - d['c_0011_7'], 'c_1100_9' : - d['c_0011_7'], 'c_0101_11' : d['c_0011_7'], 'c_1010_8' : - d['c_0011_10'], 'c_0101_7' : d['c_0011_10'], 'c_0011_3' : - d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0110_6' : d['c_0011_10'], 'c_1100_12' : - d['c_0011_10'], 'c_0011_11' : d['c_0011_10'], 'c_1001_8' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1001_12' : d['c_0011_6'], 'c_1010_4' : - d['c_0011_6'], 'c_0011_9' : - d['c_0011_6'], 'c_1001_10' : - d['c_0011_6'], 's_3_8' : d['1'], 's_2_8' : d['1'], 's_1_8' : - d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_0_7' : d['1'], 's_1_6' : d['1'], 's_0_6' : 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_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_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_7' : d['1'], 's_2_6' : d['1'], 's_0_8' : - d['1'], 's_3_5' : d['1'], 's_2_9' : d['1'], 's_0_10' : - d['1'], 's_3_6' : d['1'], 's_3_11' : d['1'], 's_0_12' : d['1'], 's_0_9' : d['1'], 's_2_10' : d['1'], 's_3_10' : d['1'], 's_2_11' : d['1'], 's_2_12' : d['1'], 's_1_9' : d['1'], 's_3_12' : d['1'], 's_3_9' : d['1'], 's_1_11' : d['1'], 's_1_10' : - d['1'], 's_1_12' : d['1'], 's_0_11' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.090 Status: Saturating ideal ( 1 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 4 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 8 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 9 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 11 / 13 )... Time: 0.020 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: 0.020 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: 0.120 IDEAL=DECOMPOSITION=TIME: 0.740 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_9, c_1001_0, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 + 33/368*c_1001_3^9 - 291/368*c_1001_3^8 + 127/92*c_1001_3^7 - 265/46*c_1001_3^6 + 1301/368*c_1001_3^5 - 1609/368*c_1001_3^4 - 339/368*c_1001_3^3 - 1299/368*c_1001_3^2 + 523/368*c_1001_3 - 687/368, c_0011_12 - 7/184*c_1001_3^9 + 45/184*c_1001_3^8 - 13/46*c_1001_3^7 + 36/23*c_1001_3^6 + 53/184*c_1001_3^5 + 135/184*c_1001_3^4 + 5/184*c_1001_3^3 + 309/184*c_1001_3^2 - 5/184*c_1001_3 - 55/184, c_0011_6 - 49/92*c_1001_3^9 + 31/46*c_1001_3^8 - 91/23*c_1001_3^7 + 67/23*c_1001_3^6 - 181/92*c_1001_3^5 - 57/23*c_1001_3^4 - 103/92*c_1001_3^3 + 52/23*c_1001_3^2 - 265/92*c_1001_3 + 3/46, c_0011_7 - 583/368*c_1001_3^9 + 909/368*c_1001_3^8 - 1201/92*c_1001_3^7 + 603/46*c_1001_3^6 - 5075/368*c_1001_3^5 - 217/368*c_1001_3^4 - 1739/368*c_1001_3^3 + 2525/368*c_1001_3^2 - 2861/368*c_1001_3 + 913/368, c_0101_0 - 257/368*c_1001_3^9 + 443/368*c_1001_3^8 - 543/92*c_1001_3^7 + 313/46*c_1001_3^6 - 2549/368*c_1001_3^5 + 593/368*c_1001_3^4 - 973/368*c_1001_3^3 + 1803/368*c_1001_3^2 - 1419/368*c_1001_3 + 583/368, c_0101_1 - 1, c_0101_2 + 7/46*c_1001_3^9 + 12/23*c_1001_3^8 + 29/46*c_1001_3^7 + 195/46*c_1001_3^6 - 15/23*c_1001_3^5 + 141/46*c_1001_3^4 + 179/46*c_1001_3^3 + 64/23*c_1001_3^2 - 9/23*c_1001_3 + 55/46, c_0101_5 + 55/184*c_1001_3^9 - 117/184*c_1001_3^8 + 135/46*c_1001_3^7 - 89/23*c_1001_3^6 + 1003/184*c_1001_3^5 - 167/184*c_1001_3^4 + 355/184*c_1001_3^3 - 325/184*c_1001_3^2 + 749/184*c_1001_3 - 225/184, c_0110_9 + 225/368*c_1001_3^9 - 211/368*c_1001_3^8 + 431/92*c_1001_3^7 - 109/46*c_1001_3^6 + 1477/368*c_1001_3^5 + 471/368*c_1001_3^4 + 1101/368*c_1001_3^3 - 259/368*c_1001_3^2 + 555/368*c_1001_3 + 33/368, c_1001_0 - 153/184*c_1001_3^9 + 241/184*c_1001_3^8 - 317/46*c_1001_3^7 + 156/23*c_1001_3^6 - 1365/184*c_1001_3^5 - 289/184*c_1001_3^4 - 561/184*c_1001_3^3 + 741/184*c_1001_3^2 - 1095/184*c_1001_3 + 237/184, c_1001_11 - 49/92*c_1001_3^9 + 31/46*c_1001_3^8 - 91/23*c_1001_3^7 + 67/23*c_1001_3^6 - 181/92*c_1001_3^5 - 57/23*c_1001_3^4 - 103/92*c_1001_3^3 + 52/23*c_1001_3^2 - 265/92*c_1001_3 + 3/46, c_1001_3^10 - 2*c_1001_3^9 + 9*c_1001_3^8 - 12*c_1001_3^7 + 13*c_1001_3^6 - 4*c_1001_3^5 + 4*c_1001_3^4 - 6*c_1001_3^3 + 8*c_1001_3^2 - 4*c_1001_3 + 1 ] ] 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: 0.740 seconds, Total memory usage: 32.09MB