Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 1949689947] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s176 geometric_solution 4.27107505 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 1 0 0 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.003122290854 0.514395832474 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 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 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 1.248531634385 1.043743423826 4 3 1 3 0132 2031 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897929571581 0.635076083067 2 4 2 1 1302 2310 1230 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897929571581 0.635076083067 2 5 5 3 0132 0132 3201 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 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269997460575 0.295160003886 4 4 5 5 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.800354270163 1.152328368487 ==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_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_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_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), '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_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 295173258463/32280240176*c_0101_5^13 + 1143747266457/32280240176*c_0101_5^12 - 192508615801/32280240176*c_0101_5^11 + 387457495971/32280240176*c_0101_5^10 + 1533366225621/16140120088*c_0101_5^9 - 9103546142605/32280240176*c_0101_5^8 - 21337404879677/32280240176*c_0101_5^7 - 5952077649803/16140120088*c_0101_5^6 + 1950570304324/2017515011*c_0101_5^5 + 10040040242255/8070060044*c_0101_5^4 - 13913337882467/32280240176*c_0101_5^3 - 9957714880293/16140120088*c_0101_5^2 - 35521439751/8070060044*c_0101_5 + 2991915801761/32280240176, c_0011_0 - 1, c_0011_2 - 22711786005/32280240176*c_0101_5^13 - 99093583975/32280240176*c_0101_5^12 - 38287742533/32280240176*c_0101_5^11 - 67921193325/32280240176*c_0101_5^10 - 136412173907/16140120088*c_0101_5^9 + 552510961855/32280240176*c_0101_5^8 + 1860284899851/32280240176*c_0101_5^7 + 974236832249/16140120088*c_0101_5^6 - 137183021649/4035030022*c_0101_5^5 - 822875623051/8070060044*c_0101_5^4 - 827912393303/32280240176*c_0101_5^3 + 257869358325/16140120088*c_0101_5^2 + 12442970238/2017515011*c_0101_5 - 23565399975/32280240176, c_0101_0 + 6363745109/32280240176*c_0101_5^13 + 28290974119/32280240176*c_0101_5^12 + 11978459421/32280240176*c_0101_5^11 + 17028654629/32280240176*c_0101_5^10 + 41203953867/16140120088*c_0101_5^9 - 151885218623/32280240176*c_0101_5^8 - 537978197595/32280240176*c_0101_5^7 - 274585475837/16140120088*c_0101_5^6 + 19109757289/2017515011*c_0101_5^5 + 234184019133/8070060044*c_0101_5^4 + 157448752399/32280240176*c_0101_5^3 - 91496893945/16140120088*c_0101_5^2 + 1306780730/2017515011*c_0101_5 + 10372188127/32280240176, c_0101_1 - 2343348101/32280240176*c_0101_5^13 - 12901055573/32280240176*c_0101_5^12 - 16226422485/32280240176*c_0101_5^11 - 13212239739/32280240176*c_0101_5^10 - 17063983645/16140120088*c_0101_5^9 + 20766092663/32280240176*c_0101_5^8 + 251786847709/32280240176*c_0101_5^7 + 220704920511/16140120088*c_0101_5^6 + 8167333044/2017515011*c_0101_5^5 - 118245085269/8070060044*c_0101_5^4 - 511773489703/32280240176*c_0101_5^3 - 2052817845/2017515011*c_0101_5^2 + 74861816877/16140120088*c_0101_5 + 5416375755/32280240176, c_0101_4 + 6959257789/16140120088*c_0101_5^13 + 15582688397/8070060044*c_0101_5^12 + 15125850805/16140120088*c_0101_5^11 + 2754933109/2017515011*c_0101_5^10 + 10875695456/2017515011*c_0101_5^9 - 160089962699/16140120088*c_0101_5^8 - 73587954566/2017515011*c_0101_5^7 - 82140067017/2017515011*c_0101_5^6 + 66545773321/4035030022*c_0101_5^5 + 129914269241/2017515011*c_0101_5^4 + 341141881975/16140120088*c_0101_5^3 - 132456776145/16140120088*c_0101_5^2 - 63431412777/16140120088*c_0101_5 + 1206032741/8070060044, c_0101_5^14 + 4*c_0101_5^13 + 2*c_0101_5^11 + 11*c_0101_5^10 - 29*c_0101_5^9 - 74*c_0101_5^8 - 53*c_0101_5^7 + 86*c_0101_5^6 + 132*c_0101_5^5 - 25*c_0101_5^4 - 47*c_0101_5^3 + 2*c_0101_5^2 + 7*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB