Magma V2.22-2 Sun Aug 9 2020 22:01:58 on zickert [Seed = 1897681878] Type ? for help. Type -D to quit. Loading file "v3346__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation v3346 geometric_solution 6.49247543 oriented_manifold CS_unknown 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945122334632 0.904113966549 0 4 5 5 0132 0132 3012 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709442565753 1.156255281971 4 0 6 6 3201 0132 2310 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 0.546515232879 0.468406973813 6 4 0 0 3012 1023 1230 0132 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 -1 0 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 0.945122334632 0.904113966549 3 1 5 2 1023 0132 1230 2310 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 1 0 -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 0.623681641782 0.473454481286 6 1 1 4 0213 1230 0132 3012 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.204423579523 0.813490951264 5 2 2 3 0213 3201 0132 1230 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 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 1.066888610915 1.101995263933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d: { 'c_0011_3' : d['c_0011_0'], 'c_0110_6' : 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_0011_4' : d['c_0011_0'], 'c_1100_4' : - d['c_0011_0'], 'c_0110_5' : - d['c_0011_0'], 'c_0101_0' : d['c_0011_6'], 'c_0110_1' : d['c_0011_6'], 'c_0110_3' : d['c_0011_6'], 'c_0101_5' : d['c_0011_6'], 'c_1100_2' : d['c_0011_6'], 'c_0011_6' : d['c_0011_6'], 'c_1100_6' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1001_3' : - d['c_0101_1'], 'c_1010_5' : d['c_0101_1'], 'c_0101_4' : - d['c_0101_1'], 'c_1001_0' : - d['c_0101_2'], 'c_1010_2' : - d['c_0101_2'], 'c_1010_3' : - d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0110_4' : - d['c_0101_2'], 'c_1001_6' : - d['c_0101_2'], 'c_1010_0' : - d['c_0101_3'], 'c_1001_2' : - d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_1010_6' : d['c_0101_3'], 'c_0110_2' : d['c_0011_5'], 'c_1001_1' : - d['c_0011_5'], 'c_1010_4' : - d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0101_6' : d['c_0011_5'], 'c_1010_1' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1100_1' : - d['c_1001_4'], 'c_1001_5' : d['c_1001_4'], 'c_1100_5' : - d['c_1001_4'], 's_0_5' : d['1'], 's_2_4' : 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_3' : - d['1'], 's_1_4' : d['1'], 's_1_5' : d['1'], 's_2_5' : d['1'], 's_3_4' : d['1'], 's_1_6' : d['1'], 's_2_6' : d['1'], 's_3_6' : d['1'], 's_0_4' : d['1'], 's_3_5' : d['1'], 's_0_6' : d['1']})} PY=EVAL=SECTION=ENDS=HERE Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.010 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: 0.010 Status: Recomputing Groebner basis... Time: 0.000 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: 1 [ 7 ] Status: Computing RadicalDecomposition Time: 0.050 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: 0.010 IDEAL=DECOMPOSITION=TIME: 0.360 IDEAL=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Graded Reverse Lexicographical Variables: c_0011_0, c_0011_5, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_1001_4 Inhomogeneous, Dimension 1, Radical, Prime Groebner basis: [ c_0101_3^2 + c_1001_4^2 + c_0101_3 - c_1001_4 + 1, c_0011_0 - 1, c_0011_5 + c_0101_3 + 1, c_0011_6 + c_1001_4, c_0101_1 + c_0101_3, c_0101_2 - c_1001_4 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_5, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_5 + 4040/3811*c_1001_4^8 - 790/3811*c_1001_4^7 - 14222/3811*c_1001_4^6 + 29953/7622*c_1001_4^5 + 13040/3811*c_1001_4^4 - 11811/3811*c_1001_4^3 - 977/7622*c_1001_4^2 - 2837/7622*c_1001_4 - 9703/7622, c_0011_6 - 4162/3811*c_1001_4^8 + 4040/3811*c_1001_4^7 + 29635/7622*c_1001_4^6 - 26708/3811*c_1001_4^5 - 4793/3811*c_1001_4^4 + 48971/7622*c_1001_4^3 - 4893/7622*c_1001_4^2 - 8599/7622*c_1001_4 + 1703/3811, c_0101_1 - 4040/3811*c_1001_4^8 + 790/3811*c_1001_4^7 + 14222/3811*c_1001_4^6 - 29953/7622*c_1001_4^5 - 13040/3811*c_1001_4^4 + 11811/3811*c_1001_4^3 + 977/7622*c_1001_4^2 + 2837/7622*c_1001_4 + 9703/7622, c_0101_2 - 4162/3811*c_1001_4^8 + 4040/3811*c_1001_4^7 + 29635/7622*c_1001_4^6 - 26708/3811*c_1001_4^5 - 4793/3811*c_1001_4^4 + 48971/7622*c_1001_4^3 - 4893/7622*c_1001_4^2 - 8599/7622*c_1001_4 + 1703/3811, c_0101_3 + 5896/3811*c_1001_4^8 - 1002/3811*c_1001_4^7 - 21782/3811*c_1001_4^6 + 42159/7622*c_1001_4^5 + 25898/3811*c_1001_4^4 - 18203/3811*c_1001_4^3 - 31129/7622*c_1001_4^2 + 6455/7622*c_1001_4 - 2871/7622, c_1001_4^9 - 15/4*c_1001_4^7 + 3*c_1001_4^6 + 19/4*c_1001_4^5 - 11/4*c_1001_4^4 - 9/4*c_1001_4^3 - 3/4*c_1001_4 - 1/4 ] ] IDEAL=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ "c_1001_4" ], [] ] 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 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 7 )... Time: 0.000 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: -1 Status: Testing witness [ 1 ] ... Time: 0.000 Status: Computing Groebner basis... Time: 0.000 Status: Saturating ideal ( 1 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 2 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 3 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 4 / 7 )... Time: 0.000 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 5 / 7 )... Time: 0.010 Status: Recomputing Groebner basis... Time: 0.000 Status: Saturating ideal ( 6 / 7 )... Time: 0.000 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: 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 7 over Rational Field Order: Lexicographical Variables: c_0011_0, c_0011_5, c_0011_6, c_0101_1, c_0101_2, c_0101_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Groebner basis: [ c_0011_0 - 1, c_0011_5 + c_0101_3 + 1, c_0011_6 + 2, c_0101_1 + c_0101_3, c_0101_2 - 1, c_0101_3^2 + c_0101_3 + 3, c_1001_4 - 2 ] ==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: 0.410 seconds, Total memory usage: 32.09MB