Magma V2.19-8 Tue Aug 20 2013 16:18:39 on localhost [Seed = 3667609578] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2822 geometric_solution 6.04593065 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 1 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 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 0.141626731409 0.206812132189 2 0 3 0 0132 2310 0132 0132 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 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 0.604225432608 3.084834265303 1 3 4 5 0132 3201 0132 0132 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 -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 0.182760564958 0.608556881418 6 4 2 1 0132 3201 2310 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 1 0 -1 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 0.182760564958 0.608556881418 5 6 3 2 3201 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.836709662048 1.195177461925 6 6 2 4 2103 0321 0132 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 0.668407558185 0.846676580091 3 4 5 5 0132 0132 2103 0321 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 0 0 0 0.668407558185 0.846676580091 ==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' : d['c_0101_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], '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' : d['c_0011_3'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_4'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 105601224673/2318080468*c_0101_4^15 - 49526998018/579520117*c_0101_4^13 + 1307033310525/1159040234*c_0101_4^11 + 384951704065/210734588*c_0101_4^9 + 13972881840711/1159040234*c_0101_4^7 + 155551890415/56538548*c_0101_4^5 - 4527859760557/2318080468*c_0101_4^3 - 634307994747/1159040234*c_0101_4, c_0011_0 - 1, c_0011_1 + 340195/5139868*c_0101_4^14 - 945341/5139868*c_0101_4^12 + 2260529/1284967*c_0101_4^10 + 5951779/5139868*c_0101_4^8 + 78927745/5139868*c_0101_4^6 - 59185161/5139868*c_0101_4^4 - 4805234/1284967*c_0101_4^2 + 6293655/5139868, c_0011_3 - 2053447/5139868*c_0101_4^15 + 4746781/5139868*c_0101_4^13 - 26427699/2569934*c_0101_4^11 - 59454929/5139868*c_0101_4^9 - 516384571/5139868*c_0101_4^7 + 101386305/5139868*c_0101_4^5 + 12780362/1284967*c_0101_4^3 - 10839329/5139868*c_0101_4, c_0011_5 + c_0101_4, c_0101_0 - 45681/5139868*c_0101_4^14 + 328911/5139868*c_0101_4^12 - 827143/2569934*c_0101_4^10 + 4380413/5139868*c_0101_4^8 - 4214381/5139868*c_0101_4^6 + 60373955/5139868*c_0101_4^4 + 329502/1284967*c_0101_4^2 - 2952867/5139868, c_0101_1 - 1281935/5139868*c_0101_4^14 + 3092655/5139868*c_0101_4^12 - 8308197/1284967*c_0101_4^10 - 33972259/5139868*c_0101_4^8 - 316710787/5139868*c_0101_4^6 + 96884869/5139868*c_0101_4^4 + 21986351/2569934*c_0101_4^2 - 6812973/5139868, c_0101_4^16 - 2*c_0101_4^14 + 25*c_0101_4^12 + 37*c_0101_4^10 + 260*c_0101_4^8 + 28*c_0101_4^6 - 47*c_0101_4^4 - 7*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB