Magma V2.22-2 Sun Aug 9 2020 22:01:52 on zickert [Seed = 978760656] Type ? for help. Type -D to quit. Loading file "v1670__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation v1670 geometric_solution 5.40247587 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 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 -1.876267068482 1.403717873880 0 0 3 3 0132 3201 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341710933071 0.255648970506 0 0 4 4 3201 0132 3201 0132 0 0 0 0 0 1 0 -1 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 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 0.341710933071 0.255648970506 1 5 1 6 2310 0132 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 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 1.000557030559 0.855569162321 2 5 2 6 2310 1023 0132 1023 0 0 0 0 0 0 1 -1 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000557030559 0.855569162321 4 3 6 6 1023 0132 1302 2031 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632011397841 1.195234794077 5 5 3 4 2031 1302 0132 1023 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 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 0.632011397841 1.195234794077 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_1100_0' : - d['c_0011_0'], 'c_0011_0' : d['c_0011_0'], 'c_0011_1' : - d['c_0011_0'], 'c_0011_2' : - d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1001_1' : - d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_1100_5' : - d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_2' : - d['c_0101_1'], 'c_0110_3' : - d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0101_6' : - d['c_0101_1'], 'c_1010_6' : d['c_0101_1'], 'c_1001_0' : - d['c_0011_6'], 'c_1010_2' : - d['c_0011_6'], 'c_1010_1' : d['c_0011_6'], 'c_1001_3' : d['c_0011_6'], 'c_1001_4' : - d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_0101_5' : - d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1010_0' : - d['c_0101_4'], 'c_1001_2' : - d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_1100_2' : d['c_0011_3'], 'c_0011_4' : - d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : - d['c_0011_3'], 'c_0011_3' : d['c_0011_3'], 'c_1100_3' : - d['c_0011_3'], 'c_0011_5' : - d['c_0011_3'], 'c_1100_6' : - d['c_0011_3'], 'c_1010_3' : d['c_0110_5'], 'c_1001_5' : d['c_0110_5'], 'c_1001_6' : d['c_0110_5'], 'c_1010_4' : d['c_0110_5'], 'c_0110_5' : d['c_0110_5'], 'c_0110_6' : d['c_0110_5'], 's_3_5' : - d['1'], 's_2_5' : d['1'], 's_3_4' : d['1'], 's_1_4' : - d['1'], 's_3_3' : - d['1'], 's_1_3' : d['1'], 's_3_2' : d['1'], 's_2_2' : - d['1'], 's_3_1' : d['1'], 's_2_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_1_1' : d['1'], 's_0_2' : d['1'], 's_0_3' : - d['1'], 's_2_3' : d['1'], 's_0_4' : - d['1'], 's_2_4' : d['1'], 's_1_5' : d['1'], 's_2_6' : - d['1'], 's_0_5' : - d['1'], 's_3_6' : d['1'], 's_0_6' : d['1'], 's_1_6' : - d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.010 Status: Saturating ideal ( 1 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 3 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 5 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.010 Status: Saturating ideal ( 6 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 7 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Dimension of ideal: 0 [] Status: Computing RadicalDecomposition Time: 0.010 Status: Number of components: 3 DECOMPOSITION=TYPE: RadicalDecomposition Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... Time: 0.020 Status: Changing to term order lex ... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Confirming is prime... 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 IDEAL=DECOMPOSITION=TIME: 0.330 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + 16288/3073*c_0110_5^10 + 35656/3073*c_0110_5^8 + 60506/3073*c_0110_5^6 + 29478/3073*c_0110_5^4 + 24841/6146*c_0110_5^2 + 328/3073, c_0011_6 + 20448/3073*c_0110_5^10 + 39160/3073*c_0110_5^8 + 65382/3073*c_0110_5^6 + 24268/3073*c_0110_5^4 + 32405/6146*c_0110_5^2 + 2066/3073, c_0101_0 + 94112/3073*c_0110_5^11 + 185928/3073*c_0110_5^9 + 301498/3073*c_0110_5^7 + 105990/3073*c_0110_5^5 + 110181/6146*c_0110_5^3 + 6556/3073*c_0110_5, c_0101_1 - 20448/3073*c_0110_5^10 - 39160/3073*c_0110_5^8 - 65382/3073*c_0110_5^6 - 24268/3073*c_0110_5^4 - 32405/6146*c_0110_5^2 - 2066/3073, c_0101_4 - 94112/3073*c_0110_5^11 - 185928/3073*c_0110_5^9 - 301498/3073*c_0110_5^7 - 105990/3073*c_0110_5^5 - 110181/6146*c_0110_5^3 - 6556/3073*c_0110_5, c_0110_5^12 + 9/4*c_0110_5^10 + 61/16*c_0110_5^8 + 17/8*c_0110_5^6 + 69/64*c_0110_5^4 + 17/64*c_0110_5^2 + 1/32 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + 1/2, c_0011_6 - c_0101_1 - 1/2, c_0101_0 + 1/2, c_0101_1^2 + 1/2*c_0101_1 - 3/4, c_0101_4 - 1/2, c_0110_5 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_3 + 1/2, c_0011_6 - c_0101_1 - 1/2, c_0101_0 - 1/2, c_0101_1^2 + 1/2*c_0101_1 - 3/4, c_0101_4 + 1/2, c_0110_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=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== ==GENUS=FOR=COMPONENT=BEGINS== ==GENUS=FOR=COMPONENT=ENDS== ==GENUSES=FOR=COMPONENTS=ENDS== Total time: 0.330 seconds, Total memory usage: 32.09MB