Magma V2.19-8 Tue Aug 20 2013 16:17:06 on localhost [Seed = 3280101138] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1352 geometric_solution 5.22057667 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 1.566672696436 0.590876278346 0 2 3 0 3201 0132 0132 0132 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 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 0 0 0 0.682944063666 0.444880886527 4 1 5 6 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 0.813530459132 0.526777752014 5 4 6 1 1023 3201 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813530459132 0.526777752014 2 5 3 6 0132 3201 2310 1023 0 0 0 0 0 -1 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.133921628276 0.560803609260 6 3 4 2 1023 1023 2310 0132 0 0 0 0 0 0 0 0 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 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599522777336 0.196047307177 3 5 2 4 2310 1023 0132 1023 0 0 0 0 0 0 1 -1 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 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 1.133921628276 0.560803609260 ==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' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], '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_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 38790211822637/33098169191388*c_0101_5^9 - 74812009587533/4728309884484*c_0101_5^8 + 13050564473783/394025823707*c_0101_5^7 - 193046001056737/11032723063796*c_0101_5^6 - 122807189752799/8274542297847*c_0101_5^5 - 2472111459969343/16549084595694*c_0101_5^4 + 610490665375873/4728309884484*c_0101_5^3 + 388283066339192/8274542297847*c_0101_5^2 - 5911353285195059/33098169191388*c_0101_5 + 1905369915665743/33098169191388, c_0011_0 - 1, c_0011_1 - 936462439/18326782498*c_0101_5^9 + 12580610549/18326782498*c_0101_5^8 - 12859581561/9163391249*c_0101_5^7 + 13409775603/18326782498*c_0101_5^6 + 5480370752/9163391249*c_0101_5^5 + 59746317118/9163391249*c_0101_5^4 - 96678802933/18326782498*c_0101_5^3 - 13229226088/9163391249*c_0101_5^2 + 136387116819/18326782498*c_0101_5 - 49582633607/18326782498, c_0101_0 + 645313157/18326782498*c_0101_5^9 - 8743490503/18326782498*c_0101_5^8 + 9394989290/9163391249*c_0101_5^7 - 12241978231/18326782498*c_0101_5^6 - 2133268153/9163391249*c_0101_5^5 - 41239199128/9163391249*c_0101_5^4 + 72061371241/18326782498*c_0101_5^3 + 3903829855/9163391249*c_0101_5^2 - 80163947407/18326782498*c_0101_5 + 45513338901/18326782498, c_0101_2 + 8850831779/788051647414*c_0101_5^9 - 128531432419/788051647414*c_0101_5^8 + 182626200963/394025823707*c_0101_5^7 - 301745895061/788051647414*c_0101_5^6 - 35775075840/394025823707*c_0101_5^5 - 545497743518/394025823707*c_0101_5^4 + 2370670909155/788051647414*c_0101_5^3 + 168598352062/394025823707*c_0101_5^2 - 1502567709473/788051647414*c_0101_5 + 809838185173/788051647414, c_0101_3 + 8850831779/788051647414*c_0101_5^9 - 128531432419/788051647414*c_0101_5^8 + 182626200963/394025823707*c_0101_5^7 - 301745895061/788051647414*c_0101_5^6 - 35775075840/394025823707*c_0101_5^5 - 545497743518/394025823707*c_0101_5^4 + 2370670909155/788051647414*c_0101_5^3 + 168598352062/394025823707*c_0101_5^2 - 1502567709473/788051647414*c_0101_5 + 809838185173/788051647414, c_0101_4 + 8564108199/394025823707*c_0101_5^9 - 109350256003/394025823707*c_0101_5^8 + 161686108158/394025823707*c_0101_5^7 - 8711369809/394025823707*c_0101_5^6 - 75032146694/394025823707*c_0101_5^5 - 1289558945446/394025823707*c_0101_5^4 + 140998586493/394025823707*c_0101_5^3 + 624609056120/394025823707*c_0101_5^2 - 560240344535/394025823707*c_0101_5 - 195600667001/394025823707, c_0101_5^10 - 14*c_0101_5^9 + 35*c_0101_5^8 - 29*c_0101_5^7 - 5*c_0101_5^6 - 122*c_0101_5^5 + 175*c_0101_5^4 - 15*c_0101_5^3 - 169*c_0101_5^2 + 120*c_0101_5 - 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB