Magma V2.19-8 Tue Aug 20 2013 16:17:59 on localhost [Seed = 728414186] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2227 geometric_solution 5.66579746 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.812041918090 1.107095730695 0 2 3 0 3201 0132 0132 0132 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 0 -1 1 -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 0.577902908228 0.633387947071 3 1 4 5 2310 0132 0132 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 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 -0.359188907524 0.715238382055 6 5 2 1 0132 1023 3201 0132 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 -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 -0.359188907524 0.715238382055 6 5 6 2 3201 2103 3012 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.167486766089 0.958636857952 3 4 2 6 1023 2103 0132 3012 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 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 -0.374396755330 0.910055219767 3 4 5 4 0132 1230 1230 2310 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 0 0 0 -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 0.167486766089 0.958636857952 ==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_0011_4'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), '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' : negation(d['c_1001_6']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], '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_0011_4'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : 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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0101_1, c_0101_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 407796198754513238/976358720355415*c_1001_6^13 + 2967666757791074424/976358720355415*c_1001_6^12 - 6117749231683917503/976358720355415*c_1001_6^11 + 16741743694314735114/976358720355415*c_1001_6^10 - 11916345310873229098/976358720355415*c_1001_6^9 - 3949960791599004877/195271744071083*c_1001_6^8 + 73197531131040562353/976358720355415*c_1001_6^7 - 181829223400517499634/976358720355415*c_1001_6^6 + 165719469121424922599/976358720355415*c_1001_6^5 - 21701345975273369207/976358720355415*c_1001_6^4 - 58956472677179713069/976358720355415*c_1001_6^3 + 3719144040813506617/195271744071083*c_1001_6^2 + 6112253417201209473/976358720355415*c_1001_6 - 1489755257762992928/976358720355415, c_0011_0 - 1, c_0011_1 - 236892615765/195271744071083*c_1001_6^13 + 1881648338921/195271744071083*c_1001_6^12 + 457700631259/195271744071083*c_1001_6^11 - 19270806686553/195271744071083*c_1001_6^10 + 22720949849421/195271744071083*c_1001_6^9 - 152080084180972/195271744071083*c_1001_6^8 - 3750093060533/195271744071083*c_1001_6^7 + 161157353971509/195271744071083*c_1001_6^6 - 404789649438253/195271744071083*c_1001_6^5 + 1328216751988862/195271744071083*c_1001_6^4 + 4705678139587/195271744071083*c_1001_6^3 - 816369887886310/195271744071083*c_1001_6^2 + 140376244470313/195271744071083*c_1001_6 + 173182309718425/195271744071083, c_0011_3 - c_1001_6, c_0011_4 + 8435226111275/195271744071083*c_1001_6^13 - 46351036788438/195271744071083*c_1001_6^12 + 24142352361629/195271744071083*c_1001_6^11 - 168669457628366/195271744071083*c_1001_6^10 - 286965174332725/195271744071083*c_1001_6^9 + 597098171635665/195271744071083*c_1001_6^8 - 685280711107125/195271744071083*c_1001_6^7 + 1438570586427418/195271744071083*c_1001_6^6 + 2226521531283318/195271744071083*c_1001_6^5 - 3028583490811001/195271744071083*c_1001_6^4 + 253809172800716/195271744071083*c_1001_6^3 + 1474412195513632/195271744071083*c_1001_6^2 - 361554151775158/195271744071083*c_1001_6 - 105214445887433/195271744071083, c_0101_1 + 116207876408295/195271744071083*c_1001_6^13 - 846673453580757/195271744071083*c_1001_6^12 + 1751440450270604/195271744071083*c_1001_6^11 - 4792818806912590/195271744071083*c_1001_6^10 + 3454486165333942/195271744071083*c_1001_6^9 + 5556320111514544/195271744071083*c_1001_6^8 - 20867218048899338/195271744071083*c_1001_6^7 + 52039687004449494/195271744071083*c_1001_6^6 - 47909970169311955/195271744071083*c_1001_6^5 + 7044994568463044/195271744071083*c_1001_6^4 + 16210624669781777/195271744071083*c_1001_6^3 - 5515713394622203/195271744071083*c_1001_6^2 - 1162141178235094/195271744071083*c_1001_6 + 422747126867054/195271744071083, c_0101_2 + 654158874464/195271744071083*c_1001_6^13 - 22681428321747/195271744071083*c_1001_6^12 + 134193713584165/195271744071083*c_1001_6^11 - 252057782328541/195271744071083*c_1001_6^10 + 667531680742305/195271744071083*c_1001_6^9 - 254760080079167/195271744071083*c_1001_6^8 - 1147946873859435/195271744071083*c_1001_6^7 + 3182897701810094/195271744071083*c_1001_6^6 - 7225084368530838/195271744071083*c_1001_6^5 + 4750223445356492/195271744071083*c_1001_6^4 + 1356358418792698/195271744071083*c_1001_6^3 - 2596623116028343/195271744071083*c_1001_6^2 + 136924014144710/195271744071083*c_1001_6 + 234361951432188/195271744071083, c_1001_6^14 - 7*c_1001_6^13 + 13*c_1001_6^12 - 37*c_1001_6^11 + 18*c_1001_6^10 + 56*c_1001_6^9 - 166*c_1001_6^8 + 397*c_1001_6^7 - 285*c_1001_6^6 - 54*c_1001_6^5 + 157*c_1001_6^4 - 7*c_1001_6^3 - 26*c_1001_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB