Magma V2.19-8 Tue Aug 20 2013 23:40:29 on localhost [Seed = 3465062981] Type ? for help. Type -D to quit. Loading file "L11a355__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a355 geometric_solution 9.96465373 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 3 -3 -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 0.784697458174 0.481642218692 0 2 5 5 0132 1230 0213 0132 0 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 -1 0 1 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687231739554 0.488443698272 6 0 1 6 0132 0132 3012 2103 1 0 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 -3 0 1 2 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699769707875 0.718163402105 5 7 8 0 0132 0132 0132 0132 1 1 1 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 3 -3 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463697325572 0.289710762283 9 6 0 7 0132 2103 0132 0132 1 1 1 1 0 0 -1 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 0 0 0 0 0 -1 3 -2 3 0 -3 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 0.607393580891 0.720600764117 3 1 1 8 0132 0213 0132 3012 0 1 1 1 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 -1 1 0 0 3 -3 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929747668881 1.451967629963 2 4 10 2 0132 2103 0132 2103 1 0 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 -1 1 3 0 -1 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699769707875 0.718163402105 9 3 4 10 3012 0132 0132 3201 1 1 1 1 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 0 0 0 0 2 -2 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.059486955716 0.656581271314 10 10 5 3 0321 3201 1230 0132 1 1 1 0 0 0 -1 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 0 0 0 0 0 0 3 -3 2 0 -2 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 0.611102304035 1.240878787928 4 9 9 7 0132 1230 3012 1230 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.161061495994 1.137897393982 8 7 8 6 0321 2310 2310 0132 1 0 1 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 -1 1 0 0 -1 1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680590665920 0.648579239039 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0011_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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' : negation(d['c_0011_4']), 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0101_2']), 'c_1100_10' : d['c_0011_8'], 'c_1010_7' : negation(d['c_1001_10']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_1001_10']), '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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_7, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 994194994081581/651103882753094875*c_1001_10^8 + 112851570920810428/651103882753094875*c_1001_10^7 + 308255752258287586/651103882753094875*c_1001_10^6 - 2619167474440284473/651103882753094875*c_1001_10^5 - 1850647336628018524/651103882753094875*c_1001_10^4 + 2643514571408041798/130220776550618975*c_1001_10^3 + 1201512010162808607/34268625408057625*c_1001_10^2 + 13047231766747497316/651103882753094875*c_1001_10 + 3933788780118616286/651103882753094875, c_0011_0 - 1, c_0011_10 - 1136765781/95422555957*c_1001_10^8 - 2000240530/95422555957*c_1001_10^7 + 29810098717/95422555957*c_1001_10^6 - 16034961999/95422555957*c_1001_10^5 - 122510181524/95422555957*c_1001_10^4 - 84707568281/95422555957*c_1001_10^3 + 25352981380/95422555957*c_1001_10^2 - 64038938549/95422555957*c_1001_10 - 59046998338/95422555957, c_0011_3 - 4838607480/95422555957*c_1001_10^8 - 10561203962/95422555957*c_1001_10^7 + 124633793628/95422555957*c_1001_10^6 - 15338714402/95422555957*c_1001_10^5 - 595837296961/95422555957*c_1001_10^4 - 502853926969/95422555957*c_1001_10^3 + 78878022783/95422555957*c_1001_10^2 - 115790048517/95422555957*c_1001_10 - 243087833385/95422555957, c_0011_4 - 457059521/95422555957*c_1001_10^8 - 1116525672/95422555957*c_1001_10^7 + 11663605264/95422555957*c_1001_10^6 + 137606551/95422555957*c_1001_10^5 - 62438590610/95422555957*c_1001_10^4 - 16289735643/95422555957*c_1001_10^3 - 48822095194/95422555957*c_1001_10^2 - 54808392470/95422555957*c_1001_10 - 36409422013/95422555957, c_0011_8 - 826149255/95422555957*c_1001_10^8 - 1037036541/95422555957*c_1001_10^7 + 22310605574/95422555957*c_1001_10^6 - 22516344239/95422555957*c_1001_10^5 - 82383063101/95422555957*c_1001_10^4 - 29499428824/95422555957*c_1001_10^3 + 81771925793/95422555957*c_1001_10^2 + 20480886164/95422555957*c_1001_10 - 77219870462/95422555957, c_0101_0 + 4179720549/95422555957*c_1001_10^8 + 9232895018/95422555957*c_1001_10^7 - 107892095907/95422555957*c_1001_10^6 + 9942470479/95422555957*c_1001_10^5 + 528000676058/95422555957*c_1001_10^4 + 436321945401/95422555957*c_1001_10^3 - 90561522098/95422555957*c_1001_10^2 + 50428080757/95422555957*c_1001_10 + 245764052833/95422555957, c_0101_10 - 658886931/95422555957*c_1001_10^8 - 1328308944/95422555957*c_1001_10^7 + 16741697721/95422555957*c_1001_10^6 - 5396243923/95422555957*c_1001_10^5 - 67836620903/95422555957*c_1001_10^4 - 66531981568/95422555957*c_1001_10^3 - 11683499315/95422555957*c_1001_10^2 - 65361967760/95422555957*c_1001_10 + 2676219448/95422555957, c_0101_2 - 1, c_0101_7 + 1584708994/95422555957*c_1001_10^8 + 4903135982/95422555957*c_1001_10^7 - 40357050658/95422555957*c_1001_10^6 - 35386918325/95422555957*c_1001_10^5 + 270281912037/95422555957*c_1001_10^4 + 259434450403/95422555957*c_1001_10^3 - 75350508790/95422555957*c_1001_10^2 - 42923880407/95422555957*c_1001_10 + 124661623893/95422555957, c_1001_0 + 826149255/95422555957*c_1001_10^8 + 1037036541/95422555957*c_1001_10^7 - 22310605574/95422555957*c_1001_10^6 + 22516344239/95422555957*c_1001_10^5 + 82383063101/95422555957*c_1001_10^4 + 29499428824/95422555957*c_1001_10^3 - 81771925793/95422555957*c_1001_10^2 - 20480886164/95422555957*c_1001_10 - 18202685495/95422555957, c_1001_10^9 + 3*c_1001_10^8 - 24*c_1001_10^7 - 18*c_1001_10^6 + 126*c_1001_10^5 + 205*c_1001_10^4 + 68*c_1001_10^3 + 6*c_1001_10^2 + 71*c_1001_10 + 65 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB