Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 206410099] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3001 geometric_solution 6.17838912 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 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 0.257575870137 0.610968739259 0 0 2 4 0132 2310 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414105119730 1.389739870220 3 0 4 1 2310 0132 3012 1302 0 0 0 0 0 1 -1 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 -1 1 0 -1 0 0 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 -0.540698180428 2.376698534817 5 6 2 0 0132 0132 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 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 0.417988675410 0.489319289568 5 2 1 6 2103 1230 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.006642980176 0.846323442684 3 5 4 5 0132 2310 2103 3201 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 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 1.267312975313 1.486248625420 6 3 4 6 3012 0132 1230 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0.659924199774 0.614194698119 ==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' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], '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_0011_4'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 1262733525/8606273936*c_1001_0^12 + 971238484/537892121*c_1001_0^11 + 70258430949/8606273936*c_1001_0^10 + 117868661385/8606273936*c_1001_0^9 - 9317201723/1075784242*c_1001_0^8 - 227475600801/4303136968*c_1001_0^7 - 135367133179/8606273936*c_1001_0^6 + 219597634407/2151568484*c_1001_0^5 + 25144312267/506251408*c_1001_0^4 - 1074412279883/8606273936*c_1001_0^3 - 123676698853/4303136968*c_1001_0^2 + 224363566459/2151568484*c_1001_0 + 16614553649/8606273936, c_0011_0 - 1, c_0011_3 - 19462270/2433901*c_1001_0^12 - 147297614/2433901*c_1001_0^11 - 283945221/2433901*c_1001_0^10 + 399607341/2433901*c_1001_0^9 + 1638837973/2433901*c_1001_0^8 - 366083497/2433901*c_1001_0^7 - 4356688476/2433901*c_1001_0^6 + 506909573/2433901*c_1001_0^5 + 7062650698/2433901*c_1001_0^4 - 2661638069/2433901*c_1001_0^3 - 5861264282/2433901*c_1001_0^2 + 4439279605/2433901*c_1001_0 - 276298788/2433901, c_0011_4 - 15780220/2433901*c_1001_0^12 - 119582956/2433901*c_1001_0^11 - 231230393/2433901*c_1001_0^10 + 322436145/2433901*c_1001_0^9 + 1331359960/2433901*c_1001_0^8 - 289445739/2433901*c_1001_0^7 - 3536531885/2433901*c_1001_0^6 + 395033471/2433901*c_1001_0^5 + 5735161184/2433901*c_1001_0^4 - 2139733252/2433901*c_1001_0^3 - 4768190442/2433901*c_1001_0^2 + 3594071174/2433901*c_1001_0 - 218596381/2433901, c_0101_0 - 8648977/2433901*c_1001_0^12 - 65313905/2433901*c_1001_0^11 - 125433049/2433901*c_1001_0^10 + 177919835/2433901*c_1001_0^9 + 724865657/2433901*c_1001_0^8 - 164665983/2433901*c_1001_0^7 - 1925084041/2433901*c_1001_0^6 + 228098291/2433901*c_1001_0^5 + 3113942177/2433901*c_1001_0^4 - 1176272054/2433901*c_1001_0^3 - 2577122244/2433901*c_1001_0^2 + 1947968457/2433901*c_1001_0 - 117386745/2433901, c_0101_1 + 1, c_0101_2 - 14353251/2433901*c_1001_0^12 - 108677950/2433901*c_1001_0^11 - 209780571/2433901*c_1001_0^10 + 293879717/2433901*c_1001_0^9 + 1209104280/2433901*c_1001_0^8 - 266256067/2433901*c_1001_0^7 - 3211602463/2433901*c_1001_0^6 + 366320028/2433901*c_1001_0^5 + 5204874818/2433901*c_1001_0^4 - 1953332482/2433901*c_1001_0^3 - 4319939663/2433901*c_1001_0^2 + 3266297323/2433901*c_1001_0 - 204050322/2433901, c_1001_0^13 + 10*c_1001_0^12 + 33*c_1001_0^11 + 15*c_1001_0^10 - 134*c_1001_0^9 - 186*c_1001_0^8 + 269*c_1001_0^7 + 518*c_1001_0^6 - 425*c_1001_0^5 - 745*c_1001_0^4 + 632*c_1001_0^3 + 504*c_1001_0^2 - 539*c_1001_0 + 34 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB