Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 2833855606] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1464 geometric_solution 5.28534745 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 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661993332347 0.468017232548 0 5 5 2 0132 0132 3201 3012 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588905928959 0.093775467708 4 0 1 3 0321 0132 1230 1230 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 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 1.014155989089 1.404239989349 2 6 6 0 3012 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803622508101 0.367269638048 2 4 0 4 0321 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.225871413768 1.167576468618 1 1 5 5 2310 0132 2031 1302 0 0 0 0 0 1 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 0 0 0 0 0 0 -1 1 1 0 -1 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 0.788363075070 0.893036180286 6 3 3 6 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.108375130173 0.386635348022 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_0011_3']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_1'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_1'], '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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 783149/2829*c_0101_6^14 + 448205/943*c_0101_6^13 + 8276248/2829*c_0101_6^12 - 3936251/943*c_0101_6^11 - 1436288/123*c_0101_6^10 + 11874398/943*c_0101_6^9 + 65451247/2829*c_0101_6^8 - 43636499/2829*c_0101_6^7 - 23882849/943*c_0101_6^6 + 8734697/943*c_0101_6^5 + 44484287/2829*c_0101_6^4 - 8378984/2829*c_0101_6^3 - 366544/69*c_0101_6^2 + 1120430/2829*c_0101_6 + 2165399/2829, c_0011_0 - 1, c_0011_3 - 9*c_0101_6^14 + 14*c_0101_6^13 + 93*c_0101_6^12 - 114*c_0101_6^11 - 354*c_0101_6^10 + 300*c_0101_6^9 + 640*c_0101_6^8 - 272*c_0101_6^7 - 599*c_0101_6^6 + 116*c_0101_6^5 + 315*c_0101_6^4 - 22*c_0101_6^3 - 88*c_0101_6^2 - c_0101_6 + 10, c_0101_0 - 18*c_0101_6^14 + 27*c_0101_6^13 + 189*c_0101_6^12 - 221*c_0101_6^11 - 732*c_0101_6^10 + 586*c_0101_6^9 + 1341*c_0101_6^8 - 534*c_0101_6^7 - 1249*c_0101_6^6 + 219*c_0101_6^5 + 640*c_0101_6^4 - 44*c_0101_6^3 - 169*c_0101_6^2 + c_0101_6 + 17, c_0101_1 - 4*c_0101_6^14 + 4*c_0101_6^13 + 46*c_0101_6^12 - 30*c_0101_6^11 - 197*c_0101_6^10 + 65*c_0101_6^9 + 398*c_0101_6^8 - 17*c_0101_6^7 - 395*c_0101_6^6 - 33*c_0101_6^5 + 216*c_0101_6^4 + 26*c_0101_6^3 - 67*c_0101_6^2 - 6*c_0101_6 + 9, c_0101_3 - 8*c_0101_6^14 + 12*c_0101_6^13 + 84*c_0101_6^12 - 98*c_0101_6^11 - 326*c_0101_6^10 + 259*c_0101_6^9 + 601*c_0101_6^8 - 234*c_0101_6^7 - 569*c_0101_6^6 + 93*c_0101_6^5 + 303*c_0101_6^4 - 16*c_0101_6^3 - 86*c_0101_6^2 - 2*c_0101_6 + 10, c_0101_5 - 6*c_0101_6^14 + 8*c_0101_6^13 + 66*c_0101_6^12 - 65*c_0101_6^11 - 273*c_0101_6^10 + 170*c_0101_6^9 + 547*c_0101_6^8 - 144*c_0101_6^7 - 570*c_0101_6^6 + 36*c_0101_6^5 + 333*c_0101_6^4 + 12*c_0101_6^3 - 105*c_0101_6^2 - 6*c_0101_6 + 14, c_0101_6^15 - 2*c_0101_6^14 - 10*c_0101_6^13 + 18*c_0101_6^12 + 37*c_0101_6^11 - 57*c_0101_6^10 - 67*c_0101_6^9 + 79*c_0101_6^8 + 69*c_0101_6^7 - 61*c_0101_6^6 - 42*c_0101_6^5 + 29*c_0101_6^4 + 14*c_0101_6^3 - 8*c_0101_6^2 - 2*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB