Magma V2.19-8 Tue Aug 20 2013 16:18:45 on localhost [Seed = 846442310] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2913 geometric_solution 6.11471488 oriented_manifold CS_known -0.0000000000000000 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 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 0.974906064726 0.864773846422 0 5 5 6 0132 0132 3201 0132 0 0 0 0 0 0 1 -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 0 -1 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 0.426466258244 0.219418758894 2 0 2 6 2031 0132 1302 1023 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785049216807 0.761747429838 6 3 3 0 0132 1230 3012 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 1.036334537227 0.745318520166 4 6 0 4 3201 0132 0132 2310 0 0 0 0 0 1 -1 0 -1 0 0 1 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 -1 0 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 0 0 0 0.177402613455 0.765963097179 1 1 5 5 2310 0132 2031 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.849634152484 1.464753009653 3 4 1 2 0132 0132 0132 1023 0 0 0 0 0 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974906064726 0.864773846422 ==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_0011_0']), '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_0011_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], '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_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_0110_2'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0110_2'], '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_0110_2'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0110_2'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], '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_0110_2']})} 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_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4*c_0110_2^7 - 2*c_0110_2^6 - 28*c_0110_2^5 + 20*c_0110_2^4 + 56*c_0110_2^3 - 58*c_0110_2^2 - 26*c_0110_2 + 47, c_0011_0 - 1, c_0011_3 - c_0110_2^6 + 5*c_0110_2^4 - 6*c_0110_2^2 + 1, c_0101_0 + c_0110_2^3 - 2*c_0110_2, c_0101_1 + c_0110_2^4 - 3*c_0110_2^2 + 1, c_0101_3 - c_0110_2^2 + 1, c_0101_5 - c_0110_2^5 + 4*c_0110_2^3 - 3*c_0110_2, c_0110_2^8 + c_0110_2^7 - 7*c_0110_2^6 - 6*c_0110_2^5 + 15*c_0110_2^4 + 10*c_0110_2^3 - 10*c_0110_2^2 - 4*c_0110_2 + 1 ], 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_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 30138/5125*c_0110_2^13 - 91877/20500*c_0110_2^12 + 407553/10250*c_0110_2^11 + 315529/5125*c_0110_2^10 - 91703/1025*c_0110_2^9 - 4174097/20500*c_0110_2^8 + 163882/5125*c_0110_2^7 + 1453626/5125*c_0110_2^6 + 2147681/20500*c_0110_2^5 - 3221773/20500*c_0110_2^4 - 2205773/20500*c_0110_2^3 + 496718/5125*c_0110_2^2 + 1763893/20500*c_0110_2 + 452701/20500, c_0011_0 - 1, c_0011_3 + 11642/15375*c_0110_2^13 + 31967/15375*c_0110_2^12 - 7292/5125*c_0110_2^11 - 160711/15375*c_0110_2^10 - 15598/3075*c_0110_2^9 + 284962/15375*c_0110_2^8 + 298087/15375*c_0110_2^7 - 60978/5125*c_0110_2^6 - 327826/15375*c_0110_2^5 + 16061/5125*c_0110_2^4 + 256808/15375*c_0110_2^3 + 53138/15375*c_0110_2^2 - 88828/15375*c_0110_2 - 37621/15375, c_0101_0 - 3236/3075*c_0110_2^13 - 7586/3075*c_0110_2^12 + 2861/1025*c_0110_2^11 + 39613/3075*c_0110_2^10 + 1339/615*c_0110_2^9 - 74146/3075*c_0110_2^8 - 49246/3075*c_0110_2^7 + 18774/1025*c_0110_2^6 + 54433/3075*c_0110_2^5 - 9188/1025*c_0110_2^4 - 47864/3075*c_0110_2^3 + 3646/3075*c_0110_2^2 + 19549/3075*c_0110_2 + 3193/3075, c_0101_1 + 4831/15375*c_0110_2^13 + 12931/15375*c_0110_2^12 - 1906/5125*c_0110_2^11 - 58373/15375*c_0110_2^10 - 8714/3075*c_0110_2^9 + 76466/15375*c_0110_2^8 + 130091/15375*c_0110_2^7 + 1171/5125*c_0110_2^6 - 114068/15375*c_0110_2^5 - 14327/5125*c_0110_2^4 + 79894/15375*c_0110_2^3 + 49084/15375*c_0110_2^2 - 12254/15375*c_0110_2 - 23003/15375, c_0101_3 - c_0110_2^2 + 1, c_0101_5 - 2452/3075*c_0110_2^13 - 6877/3075*c_0110_2^12 + 1452/1025*c_0110_2^11 + 34691/3075*c_0110_2^10 + 3803/615*c_0110_2^9 - 61097/3075*c_0110_2^8 - 70547/3075*c_0110_2^7 + 11893/1025*c_0110_2^6 + 80156/3075*c_0110_2^5 - 1391/1025*c_0110_2^4 - 61723/3075*c_0110_2^3 - 15178/3075*c_0110_2^2 + 24893/3075*c_0110_2 + 11576/3075, c_0110_2^14 + 3*c_0110_2^13 - c_0110_2^12 - 14*c_0110_2^11 - 11*c_0110_2^10 + 21*c_0110_2^9 + 33*c_0110_2^8 - 5*c_0110_2^7 - 32*c_0110_2^6 - 7*c_0110_2^5 + 22*c_0110_2^4 + 12*c_0110_2^3 - 6*c_0110_2^2 - 6*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB