Magma V2.19-8 Tue Aug 20 2013 18:00:29 on localhost [Seed = 71676113] Type ? for help. Type -D to quit. Loading file "11_218__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_218 geometric_solution 12.36406126 oriented_manifold CS_known -0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -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 0.517145816751 1.150818000598 0 4 6 5 0132 1023 0132 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 -1 0 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 0.178794683443 1.018686182928 7 0 9 8 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570299945961 0.970697400402 10 5 6 0 0132 3120 3120 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 -1 0 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 0.561815606239 1.201566099554 1 10 0 11 1023 1230 0132 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 1 -1 0 1 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 0.198669691570 0.522093772832 12 3 1 9 0132 3120 0132 3012 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 -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 0.334830113150 0.529574686013 11 11 3 1 3120 1023 3120 0132 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 -9 8 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.832853595404 0.952319887871 2 10 9 8 0132 2103 3201 2310 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 -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 0.584185164502 0.444425716003 7 12 2 12 3201 2103 0132 1302 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.148561374057 0.753821775144 7 10 5 2 2310 1302 1230 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571839638485 0.949972284749 3 7 4 9 0132 2103 3012 2031 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 -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 -0.069692352217 0.802523474840 6 12 4 6 1023 1302 0132 3120 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 0 0 0 -8 -1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.178794683443 1.018686182928 5 8 8 11 0132 2103 2031 2031 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 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 0.748336596824 1.276976297003 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_0011_0'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_0'], '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_12'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : negation(d['c_1001_2']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : d['c_0101_12'], '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_0011_11'], '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_8']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_11'], '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_1'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0101_2']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 22338/135725*c_1001_2^5 + 133183/135725*c_1001_2^4 + 358411/135725*c_1001_2^3 + 539664/135725*c_1001_2^2 + 445344/135725*c_1001_2 + 159923/135725, c_0011_0 - 1, c_0011_10 - c_1001_2^3 - 3*c_1001_2^2 - 4*c_1001_2 - 2, c_0011_11 - c_1001_2 - 1, c_0011_12 + c_1001_2^4 + 5*c_1001_2^3 + 9*c_1001_2^2 + 8*c_1001_2 + 2, c_0011_8 + c_1001_2^5 + 5*c_1001_2^4 + 12*c_1001_2^3 + 16*c_1001_2^2 + 12*c_1001_2 + 4, c_0101_0 + c_1001_2^4 + 4*c_1001_2^3 + 7*c_1001_2^2 + 6*c_1001_2 + 2, c_0101_1 - c_1001_2 - 1, c_0101_11 + c_1001_2^4 + 3*c_1001_2^3 + 4*c_1001_2^2 + 2*c_1001_2, c_0101_12 + c_1001_2^4 + 5*c_1001_2^3 + 10*c_1001_2^2 + 10*c_1001_2 + 4, c_0101_2 - c_1001_2^4 - 4*c_1001_2^3 - 8*c_1001_2^2 - 8*c_1001_2 - 3, c_0101_3 - c_1001_2^4 - 4*c_1001_2^3 - 7*c_1001_2^2 - 6*c_1001_2 - 2, c_0101_6 + 2*c_1001_2^4 + 7*c_1001_2^3 + 11*c_1001_2^2 + 8*c_1001_2 + 2, c_1001_2^6 + 6*c_1001_2^5 + 17*c_1001_2^4 + 28*c_1001_2^3 + 28*c_1001_2^2 + 16*c_1001_2 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.060 Total time: 2.279 seconds, Total memory usage: 81.88MB