Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 1730608055] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1411 geometric_solution 5.25036536 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 2103 0 1 0 0 0 0 1 -1 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 0 0 0 0 0 1 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257471152549 0.676811261398 0 4 4 0 0132 0132 3120 2103 0 1 0 0 0 0 0 0 -1 0 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 -1 1 0 0 -1 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257471152549 0.676811261398 5 0 3 5 0132 0132 3012 3201 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 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 1.051465364072 0.653160805058 4 2 4 0 3120 1230 2103 0132 0 1 0 0 0 1 0 -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 1 -1 0 0 0 1 -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 0.735597625237 0.670493487663 3 1 1 3 2103 0132 3120 3120 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 0 -1 0 1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.257471152549 0.676811261398 2 2 6 6 0132 2310 0132 2310 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 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 2.235918835143 0.796812456574 5 6 6 5 3201 1230 3012 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 -0.309002085417 0.087405929246 ==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' : 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' : 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' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0101_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 44655479/413129*c_0101_5^8 - 51716857/413129*c_0101_5^7 - 153048997/413129*c_0101_5^6 + 142209064/413129*c_0101_5^5 + 207003466/413129*c_0101_5^4 - 51617077/413129*c_0101_5^3 - 152235999/413129*c_0101_5^2 - 70685149/413129*c_0101_5 - 17632526/413129, c_0011_0 - 1, c_0011_3 + 2159993/413129*c_0101_5^8 - 3513167/413129*c_0101_5^7 - 5928016/413129*c_0101_5^6 + 9874468/413129*c_0101_5^5 + 5881397/413129*c_0101_5^4 - 5707699/413129*c_0101_5^3 - 5224741/413129*c_0101_5^2 - 889949/413129*c_0101_5 + 176776/413129, c_0011_6 + 1549537/413129*c_0101_5^8 - 2122867/413129*c_0101_5^7 - 4769030/413129*c_0101_5^6 + 5900383/413129*c_0101_5^5 + 5511336/413129*c_0101_5^4 - 2826142/413129*c_0101_5^3 - 3802360/413129*c_0101_5^2 - 1747680/413129*c_0101_5 - 609492/413129, c_0101_0 - 1, c_0101_1 - 3719408/413129*c_0101_5^8 + 4077778/413129*c_0101_5^7 + 13192162/413129*c_0101_5^6 - 11547353/413129*c_0101_5^5 - 17879418/413129*c_0101_5^4 + 4066586/413129*c_0101_5^3 + 12438689/413129*c_0101_5^2 + 6783075/413129*c_0101_5 + 1351722/413129, c_0101_2 - 4132557/413129*c_0101_5^8 + 4519203/413129*c_0101_5^7 + 14955877/413129*c_0101_5^6 - 12840748/413129*c_0101_5^5 - 21236981/413129*c_0101_5^4 + 5058118/413129*c_0101_5^3 + 15474763/413129*c_0101_5^2 + 6733836/413129*c_0101_5 + 1271693/413129, c_0101_5^9 - 10/11*c_0101_5^8 - 41/11*c_0101_5^7 + 26/11*c_0101_5^6 + 60/11*c_0101_5^5 - 1/11*c_0101_5^4 - 41/11*c_0101_5^3 - 26/11*c_0101_5^2 - 8/11*c_0101_5 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB