Magma V2.19-8 Tue Aug 20 2013 16:16:02 on localhost [Seed = 2917937515] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0288 geometric_solution 4.33246873 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 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 1 0 -1 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 0.298674447587 0.221603692967 0 4 4 3 0132 0132 3201 1230 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 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 0.084200823077 0.810009291480 5 0 0 5 0132 0132 1023 1023 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 -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 1.182963534076 1.172955096856 1 5 0 5 3012 1230 0132 0321 0 0 0 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 1 -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 1.296432504215 0.409644607455 1 1 6 6 2310 0132 0132 3201 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 3.428671929717 1.916875314345 2 3 3 2 0132 0321 3012 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.182963534076 1.172955096856 6 4 6 4 2031 2310 1302 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 -0.610864139627 0.200211194548 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], '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_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 3410253/5*c_0101_5^16 + 5256528/5*c_0101_5^15 - 505311/5*c_0101_5^14 - 12718032/5*c_0101_5^13 + 821986*c_0101_5^12 - 25397018/5*c_0101_5^11 + 74666384/5*c_0101_5^10 - 110531857/5*c_0101_5^9 + 31167693*c_0101_5^8 - 197431716/5*c_0101_5^7 + 38634059*c_0101_5^6 - 154817432/5*c_0101_5^5 + 106775991/5*c_0101_5^4 - 58018449/5*c_0101_5^3 + 21546978/5*c_0101_5^2 - 4698831/5*c_0101_5 + 450944/5, c_0011_0 - 1, c_0011_3 + 11*c_0101_5^16 + 20*c_0101_5^15 + 6*c_0101_5^14 - 34*c_0101_5^13 + 9*c_0101_5^12 - 82*c_0101_5^11 + 218*c_0101_5^10 - 312*c_0101_5^9 + 446*c_0101_5^8 - 551*c_0101_5^7 + 528*c_0101_5^6 - 416*c_0101_5^5 + 284*c_0101_5^4 - 148*c_0101_5^3 + 54*c_0101_5^2 - 11*c_0101_5 + 1, c_0011_6 - 131274*c_0101_5^16 - 207484*c_0101_5^15 + 8909*c_0101_5^14 + 484435*c_0101_5^13 - 143147*c_0101_5^12 + 977464*c_0101_5^11 - 2835540*c_0101_5^10 + 4162776*c_0101_5^9 - 5874524*c_0101_5^8 + 7422843*c_0101_5^7 - 7221529*c_0101_5^6 + 5766266*c_0101_5^5 - 3964178*c_0101_5^4 + 2138276*c_0101_5^3 - 784159*c_0101_5^2 + 168066*c_0101_5 - 15780, c_0101_1 - 231*c_0101_5^16 - 409*c_0101_5^15 - 95*c_0101_5^14 + 751*c_0101_5^13 - 186*c_0101_5^12 + 1734*c_0101_5^11 - 4648*c_0101_5^10 + 6700*c_0101_5^9 - 9530*c_0101_5^8 + 11853*c_0101_5^7 - 11357*c_0101_5^6 + 8995*c_0101_5^5 - 6121*c_0101_5^4 + 3235*c_0101_5^3 - 1155*c_0101_5^2 + 242*c_0101_5 - 22, c_0101_2 + c_0101_5, c_0101_4 + 2090*c_0101_5^16 + 3701*c_0101_5^15 + 773*c_0101_5^14 - 7041*c_0101_5^13 + 1398*c_0101_5^12 - 15670*c_0101_5^11 + 42033*c_0101_5^10 - 59970*c_0101_5^9 + 85126*c_0101_5^8 - 105892*c_0101_5^7 + 100657*c_0101_5^6 - 79211*c_0101_5^5 + 53591*c_0101_5^4 - 27986*c_0101_5^3 + 9713*c_0101_5^2 - 1907*c_0101_5 + 154, c_0101_5^17 + 9/11*c_0101_5^16 - 14/11*c_0101_5^15 - 40/11*c_0101_5^14 + 43/11*c_0101_5^13 - 91/11*c_0101_5^12 + 300/11*c_0101_5^11 - 530/11*c_0101_5^10 + 758/11*c_0101_5^9 - 997/11*c_0101_5^8 + 1079/11*c_0101_5^7 - 944/11*c_0101_5^6 + 700/11*c_0101_5^5 - 432/11*c_0101_5^4 + 202/11*c_0101_5^3 - 64/11*c_0101_5^2 + 12/11*c_0101_5 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB