Magma V2.19-8 Tue Aug 20 2013 16:16:39 on localhost [Seed = 4273955364] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0944 geometric_solution 4.84754057 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 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 0 1 1 0 -1 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 0.612997736945 0.108171678025 2 0 3 0 0132 2310 0132 0132 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 0 0 0 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 0.739142046179 0.324996328619 1 4 3 5 0132 0132 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409560391472 0.823577324506 5 2 6 1 1023 1230 0132 0132 0 0 0 0 0 -1 0 1 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 -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 0.409560391472 0.823577324506 6 2 6 5 2310 0132 3201 3120 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 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 0.068422014153 1.705271125499 4 3 2 6 3120 1023 0132 2031 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.903268039439 0.233356170166 4 5 4 3 2310 1302 3201 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 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 0.068422014153 1.705271125499 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : 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_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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_1001_3']), 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0']})} 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_1, c_0011_3, c_0011_6, c_0101_3, c_0110_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 17850185/640641*c_1001_3^15 + 416726987/2562564*c_1001_3^13 - 1286009635/640641*c_1001_3^11 + 16294788877/2562564*c_1001_3^9 - 10839876487/1281282*c_1001_3^7 + 4864845933/854188*c_1001_3^5 - 2965186031/1281282*c_1001_3^3 + 462381613/1281282*c_1001_3, c_0011_0 - 1, c_0011_1 + 231524/213547*c_1001_3^14 - 1329607/213547*c_1001_3^12 + 16561717/213547*c_1001_3^10 - 51320215/213547*c_1001_3^8 + 65916224/213547*c_1001_3^6 - 42353963/213547*c_1001_3^4 + 16324606/213547*c_1001_3^2 - 1887851/213547, c_0011_3 + c_1001_3, c_0011_6 + 278091/213547*c_1001_3^14 - 3195985/427094*c_1001_3^12 + 39775179/427094*c_1001_3^10 - 123317457/427094*c_1001_3^8 + 78673609/213547*c_1001_3^6 - 49411323/213547*c_1001_3^4 + 18712212/213547*c_1001_3^2 - 2101625/213547, c_0101_3 + 509615/213547*c_1001_3^15 - 5855199/427094*c_1001_3^13 + 72898613/427094*c_1001_3^11 - 225957887/427094*c_1001_3^9 + 144589833/213547*c_1001_3^7 - 91765286/213547*c_1001_3^5 + 35036818/213547*c_1001_3^3 - 3989476/213547*c_1001_3, c_0110_0 - 202867/427094*c_1001_3^14 + 1154037/427094*c_1001_3^12 - 14466121/427094*c_1001_3^10 + 22131333/213547*c_1001_3^8 - 28239300/213547*c_1001_3^6 + 18275441/213547*c_1001_3^4 - 7064092/213547*c_1001_3^2 + 655074/213547, c_1001_3^16 - 6*c_1001_3^14 + 73*c_1001_3^12 - 240*c_1001_3^10 + 341*c_1001_3^8 - 254*c_1001_3^6 + 116*c_1001_3^4 - 26*c_1001_3^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB