Magma V2.19-8 Wed Aug 21 2013 00:53:01 on localhost [Seed = 3086066227] Type ? for help. Type -D to quit. Loading file "L12n1195__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1195 geometric_solution 12.00277634 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 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 0.722186559760 0.538342330443 0 5 7 6 0132 0132 0132 0132 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 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 0.722186559760 0.538342330443 8 0 9 7 0132 0132 0132 0132 1 1 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 0 0 0 -1 0 0 1 1 0 0 -1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.538065803439 0.517647004524 8 7 10 0 1023 0132 0132 0132 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 0 0 0 0 0 0 -1 1 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722186559760 0.538342330443 11 10 0 9 0132 3012 0132 0132 1 1 1 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 -1 1 0 0 0 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 0.691113563432 0.721283868302 12 1 11 10 0132 0132 3120 0321 1 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 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 0.663501307923 0.890087403252 8 9 1 10 3012 3012 0132 0132 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 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 0.609944294457 1.072479794220 11 3 2 1 3120 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 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 0 -1 1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722186559760 0.538342330443 2 3 12 6 0132 1023 0132 1230 1 1 0 0 0 0 0 0 -1 0 1 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 0 -1 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734872630671 0.598128048657 6 12 4 2 1230 1230 0132 0132 1 1 0 1 0 -1 1 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 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567017645630 0.506457400396 4 5 6 3 1230 0321 0132 0132 1 1 0 1 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 -1 0 1 1 0 -1 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 0.691113563432 0.721283868302 4 12 5 7 0132 3120 3120 3120 0 1 0 1 0 -1 0 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 -3 0 3 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 0.461657669557 0.722186559760 5 11 9 8 0132 3120 3012 0132 1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527412050675 0.603560808131 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : d['c_0011_0'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : 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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0101_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 613/34*c_1100_0^3 + 4423/34*c_1100_0^2 + 1593/34*c_1100_0 + 131/17, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 3/17*c_1100_0^3 - 26/17*c_1100_0^2 + 32/17*c_1100_0 - 4/17, c_0011_6 + 1/17*c_1100_0^3 - 3/17*c_1100_0^2 - 29/17*c_1100_0 + 10/17, c_0011_9 - 3/17*c_1100_0^3 + 26/17*c_1100_0^2 - 15/17*c_1100_0 - 13/17, c_0101_0 - 1, c_0101_1 - 7/17*c_1100_0^3 + 55/17*c_1100_0^2 - 18/17*c_1100_0 - 19/17, c_0101_10 - c_1100_0, c_0101_11 - 3/17*c_1100_0^3 + 26/17*c_1100_0^2 - 15/17*c_1100_0 + 4/17, c_0101_5 + 7/17*c_1100_0^3 - 55/17*c_1100_0^2 + 18/17*c_1100_0 + 2/17, c_1001_0 - 3/17*c_1100_0^3 + 26/17*c_1100_0^2 - 32/17*c_1100_0 + 4/17, c_1001_1 + 6/17*c_1100_0^3 - 52/17*c_1100_0^2 + 47/17*c_1100_0 + 9/17, c_1100_0^4 - 8*c_1100_0^3 + 3*c_1100_0^2 + 2*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 34890753095/524153*c_1100_0^5 - 17957945060/524153*c_1100_0^4 - 43676303555/524153*c_1100_0^3 + 337738501917/12055519*c_1100_0^2 + 324464406997/12055519*c_1100_0 - 27355055517/12055519, c_0011_0 - 1, c_0011_10 + 8800973/74879*c_1100_0^5 - 6716322/74879*c_1100_0^4 - 7579945/74879*c_1100_0^3 + 3813576/74879*c_1100_0^2 + 2079211/74879*c_1100_0 - 10443/3941, c_0011_11 + 6296158/74879*c_1100_0^5 - 3213997/74879*c_1100_0^4 - 7852689/74879*c_1100_0^3 + 2590766/74879*c_1100_0^2 + 2552717/74879*c_1100_0 - 182922/74879, c_0011_6 + 8901483/74879*c_1100_0^5 - 8928439/74879*c_1100_0^4 - 5914742/74879*c_1100_0^3 + 4739597/74879*c_1100_0^2 + 1529882/74879*c_1100_0 - 179005/74879, c_0011_9 - 72473/74879*c_1100_0^5 + 1254903/74879*c_1100_0^4 - 1779383/74879*c_1100_0^3 - 20411/74879*c_1100_0^2 + 716291/74879*c_1100_0 - 123225/74879, c_0101_0 - 1, c_0101_1 - 10325022/74879*c_1100_0^5 + 10051506/74879*c_1100_0^4 + 7605771/74879*c_1100_0^3 - 5426081/74879*c_1100_0^2 - 2144995/74879*c_1100_0 + 199064/74879, c_0101_10 - 181447/10697*c_1100_0^5 + 148350/10697*c_1100_0^4 + 126915/10697*c_1100_0^3 - 3622/563*c_1100_0^2 - 25062/10697*c_1100_0 - 280/10697, c_0101_11 + 172454/10697*c_1100_0^5 - 212198/10697*c_1100_0^4 + 8903/10697*c_1100_0^3 + 71418/10697*c_1100_0^2 - 1849/563*c_1100_0 + 404/10697, c_0101_5 - 3845830/74879*c_1100_0^5 + 1689925/74879*c_1100_0^4 + 4714769/74879*c_1100_0^3 - 1185820/74879*c_1100_0^2 - 1500434/74879*c_1100_0 + 49584/74879, c_1001_0 - 154468/10697*c_1100_0^5 + 339894/10697*c_1100_0^4 - 280539/10697*c_1100_0^3 - 76618/10697*c_1100_0^2 + 155517/10697*c_1100_0 - 652/10697, c_1001_1 + 6386617/74879*c_1100_0^5 - 3745550/74879*c_1100_0^4 - 7704587/74879*c_1100_0^3 + 2813724/74879*c_1100_0^2 + 2645924/74879*c_1100_0 - 204073/74879, c_1100_0^6 - 18/23*c_1100_0^5 - 494/529*c_1100_0^4 + 272/529*c_1100_0^3 + 141/529*c_1100_0^2 - 24/529*c_1100_0 + 1/529 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB