Magma V2.19-8 Wed Aug 21 2013 01:03:06 on localhost [Seed = 2328662673] Type ? for help. Type -D to quit. Loading file "L14n17645__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17645 geometric_solution 10.51766260 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 3201 0132 0 1 0 1 0 -1 0 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 2 1 -3 1 0 -1 0 0 -1 0 1 -12 1 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828563170677 0.536973537202 0 2 5 4 0132 0213 0132 0132 0 1 1 0 0 1 -1 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 -2 2 0 -1 0 0 1 12 0 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389498263983 1.139202168245 0 0 1 3 2310 0132 0213 0213 0 1 1 0 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 -2 2 0 -11 0 0 11 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.150067405402 0.550822590065 5 4 0 2 0132 0132 0132 0213 0 1 1 0 0 1 -1 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 -3 3 0 0 0 0 0 11 0 0 -11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389498263983 1.139202168245 6 3 1 7 0132 0132 0132 0132 0 1 0 1 0 -1 0 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 3 0 -3 1 0 -1 0 1 -1 0 0 -12 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.005071647069 0.426288618186 3 8 9 1 0132 0132 0132 0132 0 1 0 1 0 0 -1 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 0 2 -2 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.005071647069 0.426288618186 4 10 11 9 0132 0132 0132 3120 1 1 1 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 1 -1 -1 0 1 0 12 -11 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617602059376 0.997549744753 11 8 4 12 0132 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.693746957544 0.619408611822 10 5 7 11 0132 0132 3012 3201 0 0 1 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 -1 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.693746957544 0.619408611822 6 11 12 5 3120 3201 0132 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.617602059376 0.997549744753 8 6 12 12 0132 0132 1302 2031 1 0 0 1 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 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641424107873 1.297305042460 7 8 9 6 0132 2310 2310 0132 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 1 -1 0 0 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 0.889086375995 0.358355616993 10 10 7 9 2031 1302 0132 0132 0 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.641424107873 1.297305042460 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_0'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_0101_8'], 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0011_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), '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_12' : 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_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_1001_11']), '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'], 'c_1100_12' : d['c_1100_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' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0101_8, c_1001_11, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 3223802059/34540841*c_1100_1^12 + 74672168785/138163364*c_1100_1^11 + 149355315961/138163364*c_1100_1^10 + 46307527637/69081682*c_1100_1^9 - 67828945357/138163364*c_1100_1^8 - 14038976425/138163364*c_1100_1^7 + 68264912370/34540841*c_1100_1^6 - 15677678215/138163364*c_1100_1^5 - 437355782459/69081682*c_1100_1^4 - 429034371829/69081682*c_1100_1^3 + 79922524115/138163364*c_1100_1^2 + 574895116559/138163364*c_1100_1 + 310543502103/138163364, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + 2469/95681*c_1100_1^12 + 374/95681*c_1100_1^11 - 32739/95681*c_1100_1^10 - 54073/95681*c_1100_1^9 - 719/95681*c_1100_1^8 + 49336/95681*c_1100_1^7 - 44138/95681*c_1100_1^6 - 194018/95681*c_1100_1^5 + 158602/95681*c_1100_1^4 + 360072/95681*c_1100_1^3 + 25036/95681*c_1100_1^2 - 120440/95681*c_1100_1 - 138702/95681, c_0011_12 - 32499/382724*c_1100_1^12 - 49420/95681*c_1100_1^11 - 427285/382724*c_1100_1^10 - 312487/382724*c_1100_1^9 + 85125/191362*c_1100_1^8 + 110583/382724*c_1100_1^7 - 781689/382724*c_1100_1^6 - 251385/382724*c_1100_1^5 + 1156257/191362*c_1100_1^4 + 2773663/382724*c_1100_1^3 + 1204/95681*c_1100_1^2 - 892739/191362*c_1100_1 - 781627/382724, c_0011_9 - 19933/382724*c_1100_1^12 - 145979/382724*c_1100_1^11 - 180057/191362*c_1100_1^10 - 296425/382724*c_1100_1^9 + 128419/382724*c_1100_1^8 + 48150/95681*c_1100_1^7 - 534009/382724*c_1100_1^6 - 168821/191362*c_1100_1^5 + 1009181/191362*c_1100_1^4 + 2639619/382724*c_1100_1^3 + 465861/382724*c_1100_1^2 - 1622121/382724*c_1100_1 - 621995/191362, c_0101_0 - 1, c_0101_1 + 2469/95681*c_1100_1^12 + 374/95681*c_1100_1^11 - 32739/95681*c_1100_1^10 - 54073/95681*c_1100_1^9 - 719/95681*c_1100_1^8 + 49336/95681*c_1100_1^7 - 44138/95681*c_1100_1^6 - 194018/95681*c_1100_1^5 + 158602/95681*c_1100_1^4 + 360072/95681*c_1100_1^3 + 25036/95681*c_1100_1^2 - 120440/95681*c_1100_1 - 43021/95681, c_0101_11 - 32499/382724*c_1100_1^12 - 49420/95681*c_1100_1^11 - 427285/382724*c_1100_1^10 - 312487/382724*c_1100_1^9 + 85125/191362*c_1100_1^8 + 110583/382724*c_1100_1^7 - 781689/382724*c_1100_1^6 - 251385/382724*c_1100_1^5 + 1156257/191362*c_1100_1^4 + 2773663/382724*c_1100_1^3 + 1204/95681*c_1100_1^2 - 892739/191362*c_1100_1 - 781627/382724, c_0101_6 - 9502/95681*c_1100_1^12 - 49648/95681*c_1100_1^11 - 81874/95681*c_1100_1^10 - 27633/95681*c_1100_1^9 + 41210/95681*c_1100_1^8 - 49120/95681*c_1100_1^7 - 193714/95681*c_1100_1^6 + 130007/95681*c_1100_1^5 + 550771/95681*c_1100_1^4 + 239437/95681*c_1100_1^3 - 194164/95681*c_1100_1^2 - 231983/95681*c_1100_1 + 3890/95681, c_0101_8 - 24463/191362*c_1100_1^12 - 60486/95681*c_1100_1^11 - 170185/191362*c_1100_1^10 + 12013/95681*c_1100_1^9 + 206469/191362*c_1100_1^8 - 46152/95681*c_1100_1^7 - 449539/191362*c_1100_1^6 + 467673/191362*c_1100_1^5 + 722894/95681*c_1100_1^4 + 149344/95681*c_1100_1^3 - 508807/95681*c_1100_1^2 - 541991/191362*c_1100_1 + 68637/95681, c_1001_11 - 9502/95681*c_1100_1^12 - 49648/95681*c_1100_1^11 - 81874/95681*c_1100_1^10 - 27633/95681*c_1100_1^9 + 41210/95681*c_1100_1^8 - 49120/95681*c_1100_1^7 - 193714/95681*c_1100_1^6 + 130007/95681*c_1100_1^5 + 550771/95681*c_1100_1^4 + 239437/95681*c_1100_1^3 - 194164/95681*c_1100_1^2 - 231983/95681*c_1100_1 + 3890/95681, c_1001_4 - 2469/95681*c_1100_1^12 - 374/95681*c_1100_1^11 + 32739/95681*c_1100_1^10 + 54073/95681*c_1100_1^9 + 719/95681*c_1100_1^8 - 49336/95681*c_1100_1^7 + 44138/95681*c_1100_1^6 + 194018/95681*c_1100_1^5 - 158602/95681*c_1100_1^4 - 360072/95681*c_1100_1^3 - 25036/95681*c_1100_1^2 + 120440/95681*c_1100_1 + 43021/95681, c_1100_1^13 + 5*c_1100_1^12 + 7*c_1100_1^11 - 2*c_1100_1^10 - 11*c_1100_1^9 + 3*c_1100_1^8 + 22*c_1100_1^7 - 18*c_1100_1^6 - 67*c_1100_1^5 - 13*c_1100_1^4 + 59*c_1100_1^3 + 40*c_1100_1^2 - 11*c_1100_1 - 19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.730 Total time: 0.950 seconds, Total memory usage: 32.09MB