Magma V2.19-8 Tue Aug 20 2013 17:56:18 on localhost [Seed = 4088547264] Type ? for help. Type -D to quit. Loading file "10^2_174__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_174 geometric_solution 11.03572684 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 1 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 -1 0 1 1 0 0 -1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.907857875767 1.304562613091 0 3 4 0 0132 1023 0132 2031 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 0 0 0 0 0 0 1 0 -1 -1 0 0 1 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053872507386 0.762735389430 5 5 6 0 0132 1230 0132 0132 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 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 0.529434759743 0.611774626149 1 7 0 7 1023 0132 0132 1230 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 0 0 0 0 0 0 0 -1 1 -1 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 0.267250471922 0.788126993729 6 6 7 1 0132 1230 2031 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435714269109 0.925425042395 2 8 2 9 0132 0132 3012 0132 1 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 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191170877077 0.934621547204 4 9 4 2 0132 1302 3012 0132 1 1 1 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583550053027 0.884509039885 3 3 10 4 3012 0132 0132 1302 1 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 0 -1 0 1 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 0.632735534623 0.680554453628 10 5 11 10 1023 0132 0132 3120 1 1 0 1 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 1 1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229693273841 0.651740634321 10 11 5 6 2031 3201 0132 2031 1 1 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 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.802485483015 0.714176354300 8 8 9 7 3120 1023 1302 0132 1 1 0 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 0 0 0 0 0 0 0 0 1 -1 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518992002846 1.364830810828 11 11 9 8 1302 2031 2310 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321884485556 1.922615910938 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0110_7']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0101_7'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_1001_2']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_1001_3']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0110_7'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0110_7'], 'c_1100_3' : d['c_0110_7'], 'c_1100_2' : d['c_0110_7'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0101_2'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], '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_0101_2'], 'c_0101_8' : negation(d['c_0011_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0110_7'], 'c_1100_8' : d['c_0011_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0110_7, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 2607205/233728*c_1001_3^14 + 954765/10624*c_1001_3^13 + 7529307/21248*c_1001_3^12 + 9423145/10624*c_1001_3^11 + 178640889/116864*c_1001_3^10 + 220620429/116864*c_1001_3^9 + 396319703/233728*c_1001_3^8 + 33682841/29216*c_1001_3^7 + 77709657/116864*c_1001_3^6 + 44619213/116864*c_1001_3^5 + 22212117/116864*c_1001_3^4 + 2998535/58432*c_1001_3^3 + 45583/58432*c_1001_3^2 + 222237/29216*c_1001_3 - 6647189/233728, c_0011_0 - 1, c_0011_10 - c_1001_3^6 - 3*c_1001_3^5 - 5*c_1001_3^4 - 4*c_1001_3^3 - 2*c_1001_3^2 - c_1001_3 - 1, c_0011_11 - c_1001_3^12 - 6*c_1001_3^11 - 19*c_1001_3^10 - 38*c_1001_3^9 - 53*c_1001_3^8 - 54*c_1001_3^7 - 44*c_1001_3^6 - 32*c_1001_3^5 - 22*c_1001_3^4 - 12*c_1001_3^3 - 5*c_1001_3^2 - 2*c_1001_3 - 1, c_0011_4 + c_1001_3^3 + 2*c_1001_3^2 + 2*c_1001_3, c_0011_9 + c_1001_3^8 + 4*c_1001_3^7 + 9*c_1001_3^6 + 12*c_1001_3^5 + 11*c_1001_3^4 + 8*c_1001_3^3 + 6*c_1001_3^2 + 4*c_1001_3 + 1, c_0101_0 + c_1001_3 + 1, c_0101_1 - 1, c_0101_2 - c_1001_3^4 - 2*c_1001_3^3 - 3*c_1001_3^2 - 2*c_1001_3 - 1, c_0101_7 - c_1001_3^2 - c_1001_3 - 1, c_0110_7 - c_1001_3^2 - 2*c_1001_3 - 1, c_1001_2 + c_1001_3^7 + 4*c_1001_3^6 + 8*c_1001_3^5 + 8*c_1001_3^4 + 4*c_1001_3^3, c_1001_3^15 + 8*c_1001_3^14 + 33*c_1001_3^13 + 88*c_1001_3^12 + 166*c_1001_3^11 + 230*c_1001_3^10 + 239*c_1001_3^9 + 190*c_1001_3^8 + 122*c_1001_3^7 + 70*c_1001_3^6 + 38*c_1001_3^5 + 16*c_1001_3^4 + 4*c_1001_3^3 - c_1001_3 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.380 seconds, Total memory usage: 32.09MB