Magma V2.19-8 Tue Aug 20 2013 16:16:50 on localhost [Seed = 2446331207] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1108 geometric_solution 4.97249371 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 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 0 1 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 0.280430005250 0.110377741412 2 0 2 0 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.368042132537 1.104911801735 1 1 3 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.284479695712 2.082199459665 5 5 6 2 0132 2310 0132 0132 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 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 0.009418535794 0.490052965746 5 5 2 6 1023 3201 0132 0132 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 -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 0.009418535794 0.490052965746 3 4 4 3 0132 1023 2310 3201 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 1 0 -1 0 0 0 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 -0.039204593588 2.039842261971 6 6 4 3 1230 3012 0132 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 0.836973667441 1.481291217119 ==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' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0011_6'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0101_0']), '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_6, c_0101_0, c_0101_6, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 278741222366/725608088037*c_1100_2^7 - 1948254865/8689917222*c_1100_2^6 + 5503724943476/725608088037*c_1100_2^5 + 12610497011419/1451216176074*c_1100_2^4 - 6587854155221/103658298291*c_1100_2^3 - 114669899171239/725608088037*c_1100_2^2 - 13331227654915/207316596582*c_1100_2 + 62296107538016/725608088037, c_0011_0 - 1, c_0011_1 + 945794/206902791*c_1100_2^7 - 718976/206902791*c_1100_2^6 - 18068312/206902791*c_1100_2^5 + 2018914/206902791*c_1100_2^4 + 169657547/206902791*c_1100_2^3 + 179590525/206902791*c_1100_2^2 - 267174091/206902791*c_1100_2 - 33458354/206902791, c_0011_3 + 250355/68967597*c_1100_2^7 + 298834/68967597*c_1100_2^6 - 6915665/68967597*c_1100_2^5 - 1933064/68967597*c_1100_2^4 + 58182416/68967597*c_1100_2^3 + 56757049/68967597*c_1100_2^2 - 26331607/68967597*c_1100_2 + 20743708/68967597, c_0011_6 - 558394/206902791*c_1100_2^7 + 1367341/206902791*c_1100_2^6 + 8962018/206902791*c_1100_2^5 - 14892959/206902791*c_1100_2^4 - 84727795/206902791*c_1100_2^3 + 44709262/206902791*c_1100_2^2 + 191577617/206902791*c_1100_2 - 129414563/206902791, c_0101_0 + 1325693/620708373*c_0101_6*c_1100_2^7 + 7936054/620708373*c_0101_6*c_1100_2^6 - 35454917/620708373*c_0101_6*c_1100_2^5 - 165539945/620708373*c_0101_6*c_1100_2^4 + 342813650/620708373*c_0101_6*c_1100_2^3 + 1633944652/620708373*c_0101_6*c_1100_2^2 + 850967027/620708373*c_0101_6*c_1100_2 - 1168668773/620708373*c_0101_6, c_0101_6^2 - 54971/7134579*c_1100_2^7 + 71630/7134579*c_1100_2^6 + 920033/7134579*c_1100_2^5 - 633754/7134579*c_1100_2^4 - 9416846/7134579*c_1100_2^3 - 4387519/7134579*c_1100_2^2 + 11102152/7134579*c_1100_2 - 3749953/7134579, c_1100_2^8 - 20*c_1100_2^6 - 11*c_1100_2^5 + 177*c_1100_2^4 + 312*c_1100_2^3 - 60*c_1100_2^2 - 279*c_1100_2 + 167 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB