Magma V2.19-8 Wed Aug 21 2013 01:11:16 on localhost [Seed = 2581561431] Type ? for help. Type -D to quit. Loading file "L14n56954__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56954 geometric_solution 12.38757568 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 2 0132 0132 2031 1230 2 2 1 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 0 0 0 0 0 -1 1 1 0 -1 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 0.598742951428 1.110531175030 0 3 3 0 0132 0132 1302 1302 2 2 2 1 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 0 1 -1 0 0 1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623851455485 0.697669482588 0 0 5 4 3012 0132 0132 0132 2 2 2 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 0 0 0 0 0 0 0 0 0 0 -1 0 2 -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 0.287786612157 0.796486954420 1 1 4 6 2031 0132 2310 0132 2 2 1 2 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 1 0 -1 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 0.287786612157 0.796486954420 7 3 2 7 0132 3201 0132 1023 2 2 2 2 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 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 -0.583589828602 0.775063234172 6 6 8 2 1230 2031 0132 0132 2 2 1 2 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 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931710810004 0.979966243912 5 5 3 9 1302 3012 0132 0132 2 2 2 1 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 1 -1 0 0 0 0 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931710810004 0.979966243912 4 9 8 4 0132 2310 1023 1023 2 2 2 2 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 -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 0.308933927281 0.813063940699 10 11 7 5 0132 0132 1023 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702484251589 0.759851093586 12 10 6 7 0132 3201 0132 3201 2 2 2 2 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 -1 1 0 0 0 0 0 -2 1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702484251589 0.759851093586 8 10 9 10 0132 1302 2310 2031 2 2 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 0 0 0 0 0 -1 1 0 0 0 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 0.674894730150 0.556359747242 12 8 12 12 1023 0132 2031 3012 2 0 2 2 0 0 0 0 0 0 1 -1 -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 0 0 0 -1 0 3 -2 -2 0 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397081751765 0.793032781072 9 11 11 11 0132 1023 1230 1302 0 2 2 2 0 0 1 -1 0 0 -1 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 1 2 -3 0 0 -2 2 -2 2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397081751765 0.793032781072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0011_10'], 's_3_11' : 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_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : negation(d['c_1100_2']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1100_2'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : d['c_1100_2'], '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_0101_11'], 's_1_7' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_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_12'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_12']), 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_9']})} 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_4, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_4, c_0101_8, c_0101_9, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 221578528875779/2334389016960*c_1100_2^11 - 53665934658053/61431289920*c_1100_2^10 + 464221579796663/179568385920*c_1100_2^9 - 148612480542719/64844139360*c_1100_2^8 + 1845021517836463/2334389016960*c_1100_2^7 - 371086299986029/61431289920*c_1100_2^6 + 20515893979309/2526395040*c_1100_2^5 - 2172336229655971/291798627120*c_1100_2^4 + 80324466053933/11116138176*c_1100_2^3 + 2877546164337989/1167194508480*c_1100_2^2 + 150732546804355/66696829056*c_1100_2 + 1412663715527563/1167194508480, c_0011_0 - 1, c_0011_10 + 411565/7287678*c_1100_2^11 - 182621/383562*c_1100_2^10 + 3822221/3643839*c_1100_2^9 + 265777/404871*c_1100_2^8 - 23806861/7287678*c_1100_2^7 - 13681/383562*c_1100_2^6 + 488953/2429226*c_1100_2^5 + 34559249/7287678*c_1100_2^4 - 20918843/2429226*c_1100_2^3 + 115277999/7287678*c_1100_2^2 - 24058075/3643839*c_1100_2 + 6443579/3643839, c_0011_4 - c_1100_2, c_0011_5 - 167923/3643839*c_1100_2^11 + 160723/383562*c_1100_2^10 - 4330819/3643839*c_1100_2^9 + 314290/404871*c_1100_2^8 + 3058181/7287678*c_1100_2^7 + 786335/383562*c_1100_2^6 - 4057999/1214613*c_1100_2^5 + 7521958/3643839*c_1100_2^4 - 549826/1214613*c_1100_2^3 - 13101083/3643839*c_1100_2^2 + 3927667/7287678*c_1100_2 - 2831581/3643839, c_0011_6 - 167923/3643839*c_1100_2^11 + 160723/383562*c_1100_2^10 - 4330819/3643839*c_1100_2^9 + 314290/404871*c_1100_2^8 + 3058181/7287678*c_1100_2^7 + 786335/383562*c_1100_2^6 - 4057999/1214613*c_1100_2^5 + 7521958/3643839*c_1100_2^4 - 549826/1214613*c_1100_2^3 - 13101083/3643839*c_1100_2^2 + 3927667/7287678*c_1100_2 - 2831581/3643839, c_0101_0 - 1, c_0101_10 - 28903/809742*c_1100_2^11 + 15425/42618*c_1100_2^10 - 537713/404871*c_1100_2^9 + 298119/134957*c_1100_2^8 - 1965611/809742*c_1100_2^7 + 173221/42618*c_1100_2^6 - 1749227/269914*c_1100_2^5 + 7183009/809742*c_1100_2^4 - 2568683/269914*c_1100_2^3 + 6176221/809742*c_1100_2^2 - 2236712/404871*c_1100_2 + 491584/404871, c_0101_11 - 1, c_0101_12 + 335846/3643839*c_1100_2^11 - 160723/191781*c_1100_2^10 + 8661638/3643839*c_1100_2^9 - 628580/404871*c_1100_2^8 - 3058181/3643839*c_1100_2^7 - 786335/191781*c_1100_2^6 + 8115998/1214613*c_1100_2^5 - 15043916/3643839*c_1100_2^4 + 1099652/1214613*c_1100_2^3 + 29846005/3643839*c_1100_2^2 - 7571506/3643839*c_1100_2 + 2019323/3643839, c_0101_4 - 167923/3643839*c_1100_2^11 + 160723/383562*c_1100_2^10 - 4330819/3643839*c_1100_2^9 + 314290/404871*c_1100_2^8 + 3058181/7287678*c_1100_2^7 + 786335/383562*c_1100_2^6 - 4057999/1214613*c_1100_2^5 + 7521958/3643839*c_1100_2^4 - 549826/1214613*c_1100_2^3 - 13101083/3643839*c_1100_2^2 + 3927667/7287678*c_1100_2 + 812258/3643839, c_0101_8 - 25377/134957*c_1100_2^11 + 24785/14206*c_1100_2^10 - 1402717/269914*c_1100_2^9 + 1179711/269914*c_1100_2^8 + 8139/134957*c_1100_2^7 + 133869/14206*c_1100_2^6 - 2105679/134957*c_1100_2^5 + 3373937/269914*c_1100_2^4 - 1089604/134957*c_1100_2^3 - 1664271/134957*c_1100_2^2 + 1040455/269914*c_1100_2 - 180746/134957, c_0101_9 + 28903/809742*c_1100_2^11 - 15425/42618*c_1100_2^10 + 537713/404871*c_1100_2^9 - 298119/134957*c_1100_2^8 + 1965611/809742*c_1100_2^7 - 173221/42618*c_1100_2^6 + 1749227/269914*c_1100_2^5 - 7183009/809742*c_1100_2^4 + 2568683/269914*c_1100_2^3 - 6176221/809742*c_1100_2^2 + 1831841/404871*c_1100_2 - 491584/404871, c_1100_2^12 - 10*c_1100_2^11 + 35*c_1100_2^10 - 50*c_1100_2^9 + 41*c_1100_2^8 - 86*c_1100_2^7 + 146*c_1100_2^6 - 178*c_1100_2^5 + 188*c_1100_2^4 - 88*c_1100_2^3 + 57*c_1100_2^2 - 16*c_1100_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB