Magma V2.19-8 Tue Aug 20 2013 23:42:43 on localhost [Seed = 1048075134] Type ? for help. Type -D to quit. Loading file "L13n4924__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4924 geometric_solution 9.93964460 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 3120 0132 0132 1 0 1 1 0 -1 0 1 0 0 -1 1 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 7 1 -8 1 0 3 -4 -7 7 0 0 -7 8 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674443043580 0.881408280439 0 0 5 4 0132 3120 0132 0132 1 0 1 1 0 1 0 -1 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 -8 0 8 -1 0 1 0 7 -7 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674443043580 0.881408280439 4 6 7 0 3201 0132 0132 0132 1 0 1 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 0 -1 0 0 3 -3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426274553754 0.907247756720 8 8 0 5 0132 2310 0132 2310 1 0 0 1 0 1 -1 0 0 0 -1 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 -8 8 0 0 0 4 -4 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471263756954 1.260984842133 8 8 1 2 2310 0132 0132 2310 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 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 0 0 0 0 0 0 0 0 0 0 0.471263756954 1.260984842133 3 7 9 1 3201 3201 0132 0132 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 0 0 0 0 0 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426274553754 0.907247756720 9 2 7 10 2310 0132 0213 0132 1 0 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 0 1 3 0 0 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629453840380 0.527671195026 10 6 5 2 3120 0213 2310 0132 1 0 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 0 0 0 3 0 0 -3 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.208586521170 0.632623607908 3 4 4 3 0132 0132 3201 3201 1 0 1 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 -8 0 8 0 0 0 0 -8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.260054607815 0.695841582856 10 10 6 5 0213 0132 3201 0132 1 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 -4 0 4 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300188187059 0.753387966025 9 9 6 7 0213 0132 0132 3120 1 0 0 0 0 0 0 0 0 0 -1 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 0 0 3 -3 -1 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.880145806552 0.970122526776 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_0']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_10']), '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_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_1100_9' : d['c_0011_2'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0011_3']), '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0101_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 10319919241/25221402*c_1001_0^11 - 43916213629/12610701*c_1001_0^10 + 6465131993/467063*c_1001_0^9 - 131375469674/4203567*c_1001_0^8 + 1087096542509/25221402*c_1001_0^7 - 895431558779/25221402*c_1001_0^6 + 146395682363/8407134*c_1001_0^5 + 12481520009/8407134*c_1001_0^4 + 56158002895/25221402*c_1001_0^3 - 79559683831/12610701*c_1001_0^2 + 84970721861/12610701*c_1001_0 - 19353939670/12610701, c_0011_0 - 1, c_0011_10 + 83608/1401189*c_1001_0^11 - 789620/1401189*c_1001_0^10 + 1183846/467063*c_1001_0^9 - 3141754/467063*c_1001_0^8 + 15771110/1401189*c_1001_0^7 - 15833258/1401189*c_1001_0^6 + 2467417/467063*c_1001_0^5 + 662888/467063*c_1001_0^4 - 62204/1401189*c_1001_0^3 - 5567582/1401189*c_1001_0^2 + 5048263/1401189*c_1001_0 - 1912748/1401189, c_0011_2 + c_1001_0 - 1, c_0011_3 - 13135/1401189*c_1001_0^11 + 112856/1401189*c_1001_0^10 - 178622/467063*c_1001_0^9 + 606901/467063*c_1001_0^8 - 4763306/1401189*c_1001_0^7 + 8932862/1401189*c_1001_0^6 - 3585254/467063*c_1001_0^5 + 2217856/467063*c_1001_0^4 - 1154578/1401189*c_1001_0^3 - 1225864/1401189*c_1001_0^2 + 1330829/1401189*c_1001_0 + 1252745/1401189, c_0011_5 + c_1001_0 - 1, c_0011_7 - 267749/1401189*c_1001_0^11 + 2315329/1401189*c_1001_0^10 - 3101285/467063*c_1001_0^9 + 7045759/467063*c_1001_0^8 - 28880905/1401189*c_1001_0^7 + 22749910/1401189*c_1001_0^6 - 3396893/467063*c_1001_0^5 + 39731/467063*c_1001_0^4 - 3878402/1401189*c_1001_0^3 + 5704213/1401189*c_1001_0^2 - 4562519/1401189*c_1001_0 + 1461811/1401189, c_0101_0 - 1, c_0101_1 - 1, c_0101_2 + 2592/467063*c_1001_0^11 - 49864/467063*c_1001_0^10 + 378338/467063*c_1001_0^9 - 1568568/467063*c_1001_0^8 + 3956801/467063*c_1001_0^7 - 6186338/467063*c_1001_0^6 + 5724300/467063*c_1001_0^5 - 2585202/467063*c_1001_0^4 - 102572/467063*c_1001_0^3 + 957311/467063*c_1001_0^2 - 78568/467063*c_1001_0 + 58238/467063, c_0101_7 + 26536/467063*c_1001_0^11 - 279842/467063*c_1001_0^10 + 1327512/467063*c_1001_0^9 - 3586145/467063*c_1001_0^8 + 5826050/467063*c_1001_0^7 - 5501388/467063*c_1001_0^6 + 2538546/467063*c_1001_0^5 + 112940/467063*c_1001_0^4 - 1003967/467063*c_1001_0^3 - 326287/467063*c_1001_0^2 + 844784/467063*c_1001_0 - 461879/467063, c_1001_0^12 - 9*c_1001_0^11 + 38*c_1001_0^10 - 93*c_1001_0^9 + 143*c_1001_0^8 - 139*c_1001_0^7 + 86*c_1001_0^6 - 18*c_1001_0^5 + 4*c_1001_0^4 - 18*c_1001_0^3 + 24*c_1001_0^2 - 12*c_1001_0 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB