Magma V2.19-8 Tue Aug 20 2013 23:56:10 on localhost [Seed = 2463431356] Type ? for help. Type -D to quit. Loading file "L14n15385__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15385 geometric_solution 10.90413168 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 4 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 -0.106244016856 1.065512270079 0 5 7 6 0132 0132 0132 0132 1 1 0 1 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 0.468927838554 0.451661982481 3 0 8 6 1023 0132 0132 2031 1 1 0 1 0 1 -1 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 -4 4 0 -1 0 0 1 -1 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744339152688 1.496509321563 5 2 9 0 0132 1023 0132 0132 1 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 1 0 -1 -5 0 5 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.211055510493 0.337730901135 10 7 0 11 0132 3201 0132 0132 1 1 1 1 0 1 -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 -5 5 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470200938677 1.521137673207 3 1 6 10 0132 0132 2103 0132 1 1 1 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 5 0 -5 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 -0.330685631483 2.129362348322 5 2 1 11 2103 1302 0132 3201 1 1 1 0 0 0 0 0 -1 0 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 -1 0 1 5 0 0 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733553753049 0.535695711852 9 8 4 1 0321 1230 2310 0132 1 1 1 1 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814512644539 0.600066441997 10 11 7 2 1023 1023 3012 0132 1 1 1 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 4 0 -4 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673703957145 0.689112509416 7 10 11 3 0321 0321 0132 0132 1 1 1 1 0 0 0 0 -1 0 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 0 0 5 0 0 -5 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405678524479 1.047123966320 4 8 5 9 0132 1023 0132 0321 1 1 1 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 0 0 0 -4 0 0 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409965483924 0.722310569721 8 6 4 9 1023 2310 0132 0132 1 1 1 1 0 0 0 0 1 0 -1 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 -4 0 4 0 -1 5 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561277647613 1.185375847165 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_1001_11']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0110_6']), 'c_1010_10' : d['c_0101_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : negation(d['c_0011_7']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_1001_11'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0110_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_1001_11']), 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_7, c_0101_8, c_0110_6, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3819/1375*c_1100_0^3 - 178/25*c_1100_0^2 - 13927/1375*c_1100_0 + 65363/1375, c_0011_0 - 1, c_0011_10 - 1/5*c_1100_0^3 + 3/5*c_1100_0 - 7/5, c_0011_6 + 1/25*c_1100_0^3 - 1/5*c_1100_0^2 - 3/25*c_1100_0 + 17/25, c_0011_7 + 3/25*c_1100_0^3 - 1/5*c_1100_0^2 - 24/25*c_1100_0 + 6/25, c_0011_9 + 1, c_0101_0 - 1/25*c_1100_0^3 - 2/25*c_1100_0 + 18/25, c_0101_2 + 3/25*c_1100_0^3 - 1/5*c_1100_0^2 + 1/25*c_1100_0 + 31/25, c_0101_7 - 1/5*c_1100_0^3 + 3/5*c_1100_0 - 2/5, c_0101_8 - 9/25*c_1100_0^3 + 3/5*c_1100_0^2 + 47/25*c_1100_0 - 93/25, c_0110_6 - 6/25*c_1100_0^3 + 2/5*c_1100_0^2 + 23/25*c_1100_0 - 62/25, c_1001_11 + 3/25*c_1100_0^3 - 1/5*c_1100_0^2 - 24/25*c_1100_0 + 31/25, c_1100_0^4 - 3*c_1100_0^3 - 3*c_1100_0^2 + 21*c_1100_0 - 11 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_7, c_0011_9, c_0101_0, c_0101_2, c_0101_7, c_0101_8, c_0110_6, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 22565099/13507344*c_1100_0^7 + 1303907/81044064*c_1100_0^6 - 87009907/20261016*c_1100_0^5 - 108986521/27014688*c_1100_0^4 - 9827843/5065254*c_1100_0^3 - 27675925/40522032*c_1100_0^2 - 58376035/9004896*c_1100_0 - 37985177/81044064, c_0011_0 - 1, c_0011_10 - 257967/250136*c_1100_0^7 + 235437/500272*c_1100_0^6 - 295805/125068*c_1100_0^5 - 505045/500272*c_1100_0^4 + 17226/31267*c_1100_0^3 + 428037/250136*c_1100_0^2 - 1873269/500272*c_1100_0 + 780377/500272, c_0011_6 - 257967/250136*c_1100_0^7 + 235437/500272*c_1100_0^6 - 295805/125068*c_1100_0^5 - 505045/500272*c_1100_0^4 + 17226/31267*c_1100_0^3 + 428037/250136*c_1100_0^2 - 1372997/500272*c_1100_0 + 780377/500272, c_0011_7 - 18681/62534*c_1100_0^7 - 10789/125068*c_1100_0^6 - 26263/31267*c_1100_0^5 - 87679/125068*c_1100_0^4 - 25530/31267*c_1100_0^3 - 11579/62534*c_1100_0^2 - 104483/125068*c_1100_0 + 1619/125068, c_0011_9 + 1, c_0101_0 - 1, c_0101_2 - 100545/250136*c_1100_0^7 - 132061/500272*c_1100_0^6 - 93531/125068*c_1100_0^5 - 776171/500272*c_1100_0^4 - 16484/31267*c_1100_0^3 + 166395/250136*c_1100_0^2 - 717243/500272*c_1100_0 - 313145/500272, c_0101_7 + 257967/250136*c_1100_0^7 - 235437/500272*c_1100_0^6 + 295805/125068*c_1100_0^5 + 505045/500272*c_1100_0^4 - 17226/31267*c_1100_0^3 - 428037/250136*c_1100_0^2 + 1873269/500272*c_1100_0 - 780377/500272, c_0101_8 + c_1100_0, c_0110_6 - 100545/250136*c_1100_0^7 - 132061/500272*c_1100_0^6 - 93531/125068*c_1100_0^5 - 776171/500272*c_1100_0^4 - 16484/31267*c_1100_0^3 + 166395/250136*c_1100_0^2 - 717243/500272*c_1100_0 - 313145/500272, c_1001_11 + 95727/125068*c_1100_0^7 - 206941/250136*c_1100_0^6 + 101791/62534*c_1100_0^5 - 44411/250136*c_1100_0^4 - 50337/31267*c_1100_0^3 - 92557/125068*c_1100_0^2 + 939749/250136*c_1100_0 - 655609/250136, c_1100_0^8 - 7/6*c_1100_0^7 + 17/6*c_1100_0^6 - 1/2*c_1100_0^5 - 5/6*c_1100_0^4 - 1/3*c_1100_0^3 + 9/2*c_1100_0^2 - 13/3*c_1100_0 + 3/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.300 seconds, Total memory usage: 32.09MB