Magma V2.22-2 Sun Aug 9 2020 22:19:43 on zickert [Seed = 4170495999] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/13_tetrahedra/L10n35__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10n35 geometric_solution 12.40477830 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 0 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 1 0 7 0 0 -7 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447469317438 0.784953654859 0 5 7 6 0132 0132 0132 0132 0 1 1 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 0 0 0 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764801100319 0.589179762238 8 0 5 4 0132 0132 1230 0321 1 0 1 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 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 1.000000000000 1.000000000000 9 10 9 0 0132 0132 3012 0132 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 0 0 0 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 0.413390714489 0.509617355766 11 2 0 12 0132 0321 0132 0132 1 1 1 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 0 0 0 -8 0 7 1 8 0 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611735083836 1.571765394095 10 1 10 2 0213 0132 1230 3012 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0.511296531293 0.646742728974 9 12 1 8 2103 2310 0132 1302 0 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 -1 0 1 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447469317438 0.784953654859 11 8 11 1 3120 2310 2310 0132 0 1 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 8 0 -8 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 0.511296531293 0.646742728974 2 12 6 7 0132 1023 2031 3201 1 0 0 1 0 0 0 0 0 0 0 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 -1 0 1 1 0 -1 0 -1 1 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 3 3 6 11 0132 1230 2103 1302 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 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 0.971496457563 0.843988440122 5 3 12 5 0213 0132 0213 3012 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 0 0 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 0.247761798844 0.951511612692 4 7 9 7 0132 3201 2031 3120 1 1 0 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 1 -1 8 0 0 -8 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511296531293 0.646742728974 8 10 4 6 1023 0213 0132 3201 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -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 1 0 -1 0 -1 0 0 1 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611735083836 1.571765394095 ==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_0101_10' : d['c_0011_0'], 'c_0011_12' : d['c_0011_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_9' : 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_11' : 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_1010_4' : d['c_1001_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_0'], 'c_1100_2' : - d['c_0110_10'], 'c_0110_5' : - d['c_0110_10'], 'c_1010_0' : - d['c_0110_10'], 'c_1001_2' : - d['c_0110_10'], 'c_1001_4' : - d['c_0110_10'], 'c_1100_5' : d['c_0110_10'], 'c_0110_10' : d['c_0110_10'], 'c_0011_6' : d['c_0011_6'], 'c_1100_0' : - d['c_0011_6'], 'c_1100_3' : - d['c_0011_6'], 'c_1100_4' : - d['c_0011_6'], 'c_1001_9' : d['c_0011_6'], 'c_1100_12' : - d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_1001_1' : - d['c_0101_2'], 'c_1010_5' : - d['c_0101_2'], 'c_1010_7' : - d['c_0101_2'], 'c_1010_1' : d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1100_10' : - d['c_1001_5'], 'c_1010_12' : - d['c_1001_5'], 'c_1100_1' : d['c_0011_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_0110_2' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 'c_0011_4' : - d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_5' : d['c_0011_10'], 'c_1001_3' : - d['c_0011_10'], 'c_1010_10' : - d['c_0011_10'], 'c_0011_3' : - d['c_0011_10'], 'c_0011_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0110_9' : d['c_0101_3'], 'c_1010_9' : d['c_0101_3'], 'c_0101_7' : d['c_0101_3'], 'c_1100_11' : - d['c_0101_3'], 'c_1001_11' : - d['c_0101_3'], 'c_0110_6' : - d['c_0101_11'], 'c_1100_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_12' : d['c_0101_11'], 'c_1001_7' : d['c_0011_7'], 'c_1010_8' : - d['c_0011_7'], 'c_0011_7' : d['c_0011_7'], 'c_1010_11' : - d['c_0011_7'], 'c_1010_6' : d['c_0011_7'], 'c_0110_12' : - d['c_0011_7'], 'c_1100_8' : - d['c_0011_7'], 's_2_10' : d['1'], 's_3_9' : d['1'], 's_1_8' : d['1'], 's_2_7' : d['1'], 's_1_7' : - d['1'], 's_0_7' : d['1'], 's_3_6' : 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_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_1_4' : d['1'], 's_0_9' : d['1'], 's_1_10' : d['1'], 's_1_9' : d['1'], 's_0_11' : d['1'], 's_2_12' : d['1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_9' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_3_11' : d['1'], 's_3_8' : - d['1'], 's_1_11' : d['1'], 's_0_12' : d['1'], 's_2_11' : d['1'], 's_1_12' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.150 Status: Saturating ideal ( 1 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 13 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 13 )... Time: 0.030 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: 0.030 Status: Saturating ideal ( 9 / 13 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 13 )... Time: 0.030 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: 0.030 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: 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: 0.070 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Confirming is prime... Time: 0.030 IDEAL=DECOMPOSITION=TIME: 0.880 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_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0110_10, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 297/1798*c_1001_5^7 + 3261/1798*c_1001_5^6 - 6118/899*c_1001_5^5 + 18689/1798*c_1001_5^4 - 12643/1798*c_1001_5^3 + 105/1798*c_1001_5^2 + 2109/899*c_1001_5 - 1267/1798, c_0011_11 + 324/899*c_1001_5^7 - 3394/899*c_1001_5^6 + 11959/899*c_1001_5^5 - 17691/899*c_1001_5^4 + 15999/899*c_1001_5^3 - 5672/899*c_1001_5^2 + 57/899*c_1001_5 + 1137/899, c_0011_6 + 393/899*c_1001_5^7 - 8167/1798*c_1001_5^6 + 14048/899*c_1001_5^5 - 19236/899*c_1001_5^4 + 15086/899*c_1001_5^3 - 7933/1798*c_1001_5^2 - 705/899*c_1001_5 + 605/899, c_0011_7 - 154/899*c_1001_5^7 + 1591/899*c_1001_5^6 - 5379/899*c_1001_5^5 + 6927/899*c_1001_5^4 - 5024/899*c_1001_5^3 + 2252/899*c_1001_5^2 - 410/899*c_1001_5 + 575/899, c_0101_0 - 1, c_0101_1 - 16/899*c_1001_5^7 + 212/899*c_1001_5^6 - 1201/899*c_1001_5^5 + 3837/899*c_1001_5^4 - 6850/899*c_1001_5^3 + 5663/899*c_1001_5^2 - 2833/899*c_1001_5 - 489/899, c_0101_11 + 398/899*c_1001_5^7 - 3925/899*c_1001_5^6 + 12232/899*c_1001_5^5 - 27947/1798*c_1001_5^4 + 11945/899*c_1001_5^3 - 4781/899*c_1001_5^2 + 1585/899*c_1001_5 - 1069/1798, c_0101_2 - 272/899*c_1001_5^7 + 2705/899*c_1001_5^6 - 8730/899*c_1001_5^5 + 11289/899*c_1001_5^4 - 10368/899*c_1001_5^3 + 2775/899*c_1001_5^2 - 514/899*c_1001_5 - 1121/899, c_0101_3 + 259/899*c_1001_5^7 - 5515/1798*c_1001_5^6 + 19891/1798*c_1001_5^5 - 30165/1798*c_1001_5^4 + 13680/899*c_1001_5^3 - 13541/1798*c_1001_5^2 + 2605/1798*c_1001_5 + 1335/1798, c_0110_10 + 182/899*c_1001_5^7 - 1962/899*c_1001_5^6 + 7256/899*c_1001_5^5 - 11619/899*c_1001_5^4 + 11168/899*c_1001_5^3 - 5195/899*c_1001_5^2 - 251/899*c_1001_5 + 955/899, c_1001_0 + 398/899*c_1001_5^7 - 3925/899*c_1001_5^6 + 12232/899*c_1001_5^5 - 27947/1798*c_1001_5^4 + 11945/899*c_1001_5^3 - 4781/899*c_1001_5^2 + 1585/899*c_1001_5 + 729/1798, c_1001_5^8 - 10*c_1001_5^7 + 32*c_1001_5^6 - 38*c_1001_5^5 + 28*c_1001_5^4 - 2*c_1001_5^3 - 4*c_1001_5^2 + 2*c_1001_5 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0110_10, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_10 - 5/24*c_1001_5^5 + 29/24*c_1001_5^4 - 29/12*c_1001_5^3 + 23/12*c_1001_5^2 - 11/24*c_1001_5 - 29/24, c_0011_11 - 1/6*c_1001_5^5 + 7/6*c_1001_5^4 - 10/3*c_1001_5^3 + 13/3*c_1001_5^2 - 13/6*c_1001_5 - 1/6, c_0011_6 + 11/24*c_1001_5^5 - 65/24*c_1001_5^4 + 71/12*c_1001_5^3 - 71/12*c_1001_5^2 + 77/24*c_1001_5 - 7/24, c_0011_7 - 1/3*c_1001_5^5 + 11/6*c_1001_5^4 - 11/3*c_1001_5^3 + 8/3*c_1001_5^2 - 1/3*c_1001_5 - 5/6, c_0101_0 - 1, c_0101_1 - 1/6*c_1001_5^5 + 7/6*c_1001_5^4 - 7/3*c_1001_5^3 + 4/3*c_1001_5^2 - 1/6*c_1001_5 - 1/6, c_0101_11 + 11/24*c_1001_5^5 - 65/24*c_1001_5^4 + 71/12*c_1001_5^3 - 71/12*c_1001_5^2 + 77/24*c_1001_5 + 17/24, c_0101_2 + 1/3*c_1001_5^5 - 4/3*c_1001_5^4 + 8/3*c_1001_5^3 - 11/3*c_1001_5^2 + 7/3*c_1001_5 + 1/3, c_0101_3 + 5/24*c_1001_5^5 - 29/24*c_1001_5^4 + 29/12*c_1001_5^3 - 23/12*c_1001_5^2 + 11/24*c_1001_5 + 29/24, c_0110_10 - 1/3*c_1001_5^5 + 11/6*c_1001_5^4 - 11/3*c_1001_5^3 + 11/3*c_1001_5^2 - 7/3*c_1001_5 + 1/6, c_1001_0 - 11/24*c_1001_5^5 + 65/24*c_1001_5^4 - 71/12*c_1001_5^3 + 71/12*c_1001_5^2 - 77/24*c_1001_5 - 17/24, c_1001_5^6 - 6*c_1001_5^5 + 13*c_1001_5^4 - 12*c_1001_5^3 + 5*c_1001_5^2 + 2*c_1001_5 + 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=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.890 seconds, Total memory usage: 32.09MB