Magma V2.22-2 Sun Aug 9 2020 22:18:52 on zickert [Seed = 3817371596] Type ? for help. Type -D to quit. Loading file "ptolemy_data_ht/10_tetrahedra/K14n22073__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n22073 geometric_solution 8.84859761 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 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 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 -0.247382656378 1.210453135185 0 3 6 5 0132 0213 0132 0132 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 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 -0.030043655557 0.586480137782 3 0 6 7 0213 0132 1023 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 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 -0.172430786626 1.137720261062 2 6 1 0 0213 3120 0213 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 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 0.672430786626 0.767931589241 7 5 0 8 3201 2310 0132 0132 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 0 0 0 0 1 -1 -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 1.030043655557 0.586480137782 9 8 1 4 0132 0321 0132 3201 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 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 0.587118014552 0.400658363487 9 3 2 1 1023 3120 1023 0132 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 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 0.848510257652 0.586480137782 9 8 2 4 3201 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.587118014552 1.598438811500 7 9 4 5 1302 3201 0132 0321 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 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 0.645400083188 0.737061897575 5 6 8 7 0132 1023 2310 2310 0 0 0 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 -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 1.172430786626 1.137720261062 ==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_0101_3' : - d['c_0011_0'], 'c_0110_2' : - 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_5' : d['c_0101_0'], 'c_0101_7' : - d['c_0101_0'], 'c_0110_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_6' : d['c_0101_1'], 'c_0110_7' : - d['c_0101_1'], 'c_1010_9' : d['c_0101_1'], 'c_1001_0' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_3' : d['c_0011_5'], 'c_1001_7' : d['c_0011_5'], 'c_0011_6' : - d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_9' : - d['c_0011_5'], 'c_0110_8' : - d['c_0011_5'], 'c_1010_0' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_1010_5' : - d['c_0101_6'], 'c_1010_8' : - d['c_0101_6'], 'c_1001_9' : d['c_0101_6'], 'c_1010_1' : d['c_1001_5'], 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_4' : d['c_1001_5'], 'c_1001_5' : d['c_1001_5'], 'c_1100_8' : d['c_1001_5'], 'c_0101_2' : d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : - d['c_0011_3'], 'c_1001_3' : - d['c_0011_3'], 'c_1010_6' : - d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_1100_1' : - d['c_0011_4'], 'c_1100_6' : - d['c_0011_4'], 'c_1100_5' : - d['c_0011_4'], 'c_1100_7' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_1100_9' : d['c_0011_7'], 'c_0110_4' : - d['c_0011_7'], 'c_1010_7' : d['c_0011_7'], 'c_0101_8' : - d['c_0011_7'], 'c_0011_8' : d['c_0011_7'], 'c_1010_4' : - d['c_0101_9'], 'c_0110_5' : d['c_0101_9'], 'c_1001_8' : - d['c_0101_9'], 'c_0101_9' : d['c_0101_9'], 's_1_8' : d['1'], 's_1_7' : d['1'], 's_0_7' : d['1'], 's_0_6' : d['1'], 's_1_5' : d['1'], 's_0_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : d['1'], 's_0_4' : d['1'], 's_1_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_2_3' : d['1'], 's_3_6' : d['1'], 's_2_5' : d['1'], 's_0_3' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_1_6' : d['1'], 's_3_7' : d['1'], 's_3_5' : d['1'], 's_2_8' : d['1'], 's_0_9' : d['1'], 's_3_8' : d['1'], 's_1_9' : d['1'], 's_3_9' : d['1'], 's_0_8' : d['1'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.060 Status: Saturating ideal ( 1 / 10 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 10 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.030 Status: Saturating ideal ( 3 / 10 )... Time: 0.030 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 4 / 10 )... Time: 0.010 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: 0.030 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 7 / 10 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 8 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.020 Status: Saturating ideal ( 9 / 10 )... Time: 0.020 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 10 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 1 [ 10 ] Status: Computing RadicalDecomposition Time: 0.070 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: 0.690 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0101_9, c_1001_5 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_6^3 - c_0101_6^2*c_1001_5 + c_0101_6^2 + c_0101_1*c_1001_5 + c_1001_5^2 - c_0101_1 - c_0101_6 - c_1001_5, c_0101_1^2 - c_0101_6^2 + c_0101_1*c_1001_5 + c_1001_5, c_0101_1*c_0101_6 - c_0101_1*c_1001_5 + c_0101_1 + c_0101_6, c_0011_0 - 1, c_0011_3 + c_0101_1 + 1, c_0011_4 - c_0101_1, c_0011_5 - c_0101_1 - c_1001_5, c_0011_7 - c_0101_1 - 1, c_0101_0 - c_0101_6, c_0101_9 + 1 ], Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0101_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - 313/13*c_1001_5^9 - 61*c_1001_5^8 - 622/39*c_1001_5^7 + 74/3*c_1001_5^6 - 557/13*c_1001_5^5 - 2474/39*c_1001_5^4 + 1225/39*c_1001_5^3 + 1309/39*c_1001_5^2 + 671/39*c_1001_5 - 617/39, c_0011_4 - 950/39*c_1001_5^9 - 185/3*c_1001_5^8 - 2000/117*c_1001_5^7 + 202/9*c_1001_5^6 - 1753/39*c_1001_5^5 - 7492/117*c_1001_5^4 + 3578/117*c_1001_5^3 + 3701/117*c_1001_5^2 + 1984/117*c_1001_5 - 1735/117, c_0011_5 + c_1001_5, c_0011_7 - 487/39*c_1001_5^9 - 100/3*c_1001_5^8 - 1561/117*c_1001_5^7 + 80/9*c_1001_5^6 - 911/39*c_1001_5^5 - 4301/117*c_1001_5^4 + 1045/117*c_1001_5^3 + 1705/117*c_1001_5^2 + 1088/117*c_1001_5 - 725/117, c_0101_0 + 28/13*c_1001_5^9 + 7*c_1001_5^8 + 256/39*c_1001_5^7 + 7/3*c_1001_5^6 + 61/13*c_1001_5^5 + 359/39*c_1001_5^4 + 137/39*c_1001_5^3 - 70/39*c_1001_5^2 - 107/39*c_1001_5 - 1/39, c_0101_1 - 796/39*c_1001_5^9 - 157/3*c_1001_5^8 - 1879/117*c_1001_5^7 + 158/9*c_1001_5^6 - 1502/39*c_1001_5^5 - 6512/117*c_1001_5^4 + 2713/117*c_1001_5^3 + 3121/117*c_1001_5^2 + 1688/117*c_1001_5 - 1487/117, c_0101_6 + 434/39*c_1001_5^9 + 83/3*c_1001_5^8 + 692/117*c_1001_5^7 - 115/9*c_1001_5^6 + 757/39*c_1001_5^5 + 3400/117*c_1001_5^4 - 1874/117*c_1001_5^3 - 1943/117*c_1001_5^2 - 898/117*c_1001_5 + 901/117, c_0101_9 + 154/39*c_1001_5^9 + 28/3*c_1001_5^8 + 121/117*c_1001_5^7 - 44/9*c_1001_5^6 + 251/39*c_1001_5^5 + 980/117*c_1001_5^4 - 865/117*c_1001_5^3 - 580/117*c_1001_5^2 - 296/117*c_1001_5 + 365/117, c_1001_5^10 + 2*c_1001_5^9 - 2/3*c_1001_5^8 - 4/3*c_1001_5^7 + 7/3*c_1001_5^6 + 5/3*c_1001_5^5 - 8/3*c_1001_5^4 - 2/3*c_1001_5^3 + c_1001_5 - 1/3 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_5" ], [] ] 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 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 10 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 10 )... Time: 0.000 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: 0.000 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: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: -1 Status: Testing witness [ 1 ] ... Time: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 10 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 10 )... Time: 0.000 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: 0.000 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: 0.000 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: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Testing witness [ 2 ] ... 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 10 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_6, c_0101_9, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 - c_0101_6^3 + c_0101_6^2 + c_0101_6 - 1, c_0011_4 + c_0101_6^3 - c_0101_6^2 - c_0101_6 + 2, c_0011_5 + c_0101_6^3 - c_0101_6^2 - c_0101_6, c_0011_7 + c_0101_6^3 - c_0101_6^2 - c_0101_6 + 1, c_0101_0 - c_0101_6, c_0101_1 + c_0101_6^3 - c_0101_6^2 - c_0101_6 + 2, c_0101_6^4 - 2*c_0101_6^3 + 2*c_0101_6 - 2, c_0101_9 + 1, c_1001_5 - 2 ] ==WITNESS=ENDS== ==WITNESSES=ENDS== ==WITNESSES=BEGINS== ==WITNESSES=ENDS== ==WITNESSES=FOR=COMPONENTS=ENDS== ==GENUSES=FOR=COMPONENTS=BEGINS== ==GENUS=FOR=COMPONENT=BEGINS== 1 ==GENUS=FOR=COMPONENT=ENDS== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.800 seconds, Total memory usage: 32.09MB