Magma V2.19-8 Tue Aug 20 2013 16:19:03 on localhost [Seed = 408520045] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3205 geometric_solution 6.35255363 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -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 1 -1 1 0 0 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943661380554 1.284702780034 0 5 4 3 0132 0132 3012 2310 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 -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 0.304088776295 0.913784236271 4 0 3 6 0321 0132 3012 0132 0 0 0 0 0 1 -1 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 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 0.122502660673 0.700635536255 1 2 5 0 3201 1230 1023 0132 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 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 0.276925657561 0.595632005310 2 1 0 6 0321 1230 0132 3201 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 -1 1 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 0.333129954218 0.629482862719 6 1 3 6 3120 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782825137826 1.029277079544 5 4 2 5 3201 2310 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.615044504117 0.834924662960 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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' : d['1'], '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_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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0101_5']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_3']), '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_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 136709365/30222318*c_0101_5^9 - 30616447/15111159*c_0101_5^8 + 75925778/2158737*c_0101_5^7 - 62856305/30222318*c_0101_5^6 - 1483005456/5037053*c_0101_5^5 - 213557266/719579*c_0101_5^4 + 11997132019/30222318*c_0101_5^3 + 7802964787/10074106*c_0101_5^2 + 4100543205/10074106*c_0101_5 + 47682857/616782, c_0011_0 - 1, c_0011_3 - 189083/1439158*c_0101_5^9 + 121299/1439158*c_0101_5^8 + 716704/719579*c_0101_5^7 - 843666/719579*c_0101_5^6 - 11193303/1439158*c_0101_5^5 + 33883/102797*c_0101_5^4 + 21719987/1439158*c_0101_5^3 + 10320081/1439158*c_0101_5^2 - 669431/205594*c_0101_5 - 128285/102797, c_0011_4 - 49226/719579*c_0101_5^9 + 64383/1439158*c_0101_5^8 + 793811/1439158*c_0101_5^7 - 947199/1439158*c_0101_5^6 - 6072799/1439158*c_0101_5^5 + 414090/719579*c_0101_5^4 + 13571641/1439158*c_0101_5^3 + 4187431/1439158*c_0101_5^2 - 2464222/719579*c_0101_5 - 104094/102797, c_0011_6 + 43256/719579*c_0101_5^9 - 13302/719579*c_0101_5^8 - 46810/102797*c_0101_5^7 + 233740/719579*c_0101_5^6 + 2675938/719579*c_0101_5^5 + 1005264/719579*c_0101_5^4 - 4981586/719579*c_0101_5^3 - 5326561/719579*c_0101_5^2 + 379595/719579*c_0101_5 + 234587/102797, c_0101_0 - 187857/719579*c_0101_5^9 + 38230/719579*c_0101_5^8 + 3036535/1439158*c_0101_5^7 - 2178821/1439158*c_0101_5^6 - 12142720/719579*c_0101_5^5 - 7989305/1439158*c_0101_5^4 + 48242951/1439158*c_0101_5^3 + 37516167/1439158*c_0101_5^2 - 8080231/1439158*c_0101_5 - 996555/205594, c_0101_1 - 38230/719579*c_0101_5^9 - 30823/1439158*c_0101_5^8 + 675965/1439158*c_0101_5^7 - 67985/719579*c_0101_5^6 - 5536399/1439158*c_0101_5^5 - 3908699/1439158*c_0101_5^4 + 11326653/1439158*c_0101_5^3 + 11149641/1439158*c_0101_5^2 - 1289823/1439158*c_0101_5 - 85060/102797, c_0101_5^10 - 8*c_0101_5^8 + 4*c_0101_5^7 + 65*c_0101_5^6 + 36*c_0101_5^5 - 118*c_0101_5^4 - 130*c_0101_5^3 - 12*c_0101_5^2 + 22*c_0101_5 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB