Magma V2.19-8 Tue Aug 20 2013 23:55:56 on localhost [Seed = 863329032] Type ? for help. Type -D to quit. Loading file "L14n13420__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13420 geometric_solution 11.80771722 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 0 0 0 1 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 1 0 -1 1 0 0 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511390016186 0.754892863813 0 4 5 0 0132 0132 0132 2031 0 0 1 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 1 -2 1 -1 0 2 -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 0.604264407561 0.933576685362 6 6 7 0 0132 1230 0132 0132 0 0 1 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 -1 0 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662038086065 0.791340524347 8 4 0 4 0132 2031 0132 0132 0 0 1 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 1 -1 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384892371235 0.907996528550 3 1 3 9 1302 0132 0132 0132 0 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 0 0 0 -1 1 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 0.384892371235 0.907996528550 7 9 10 1 1230 2103 0132 0132 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 0 0 -2 2 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676453020998 0.591747921271 2 11 2 10 0132 0132 3012 1230 0 0 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 0 0 0 0 0 0 0 0 0 0 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 0.378084338207 0.743381802742 8 5 9 2 3012 3012 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 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074067439497 0.983681163727 3 11 11 7 0132 3012 0132 1230 0 0 0 1 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 -1 -12 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456435079075 1.068746388019 10 5 4 7 2031 2103 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 0.162551003760 0.732584063213 6 11 9 5 3012 3201 1302 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527891498706 0.613631747640 8 6 10 8 1230 0132 2310 0132 0 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 12 1 0 -13 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456435079075 1.068746388019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_9']), '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_2_7' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_9'], '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' : d['c_0011_10'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : 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'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0011_7'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0011_7'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_5, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 98/45*c_0101_9^3 - 388/45*c_0101_9^2 - 488/45*c_0101_9 + 103/15, c_0011_0 - 1, c_0011_10 - 3/5*c_0101_9^3 - 13/5*c_0101_9^2 - 18/5*c_0101_9 - 6/5, c_0011_11 + 1/5*c_0101_9^3 + 6/5*c_0101_9^2 + 11/5*c_0101_9 + 7/5, c_0011_3 + 1/3*c_0101_9^3 + 4/3*c_0101_9^2 + 2*c_0101_9, c_0011_5 + c_0101_9^2 + 2*c_0101_9 + 1, c_0011_7 - 1, c_0011_9 + 1/5*c_0101_9^3 + 6/5*c_0101_9^2 + 6/5*c_0101_9 + 7/5, c_0101_0 - 1/3*c_0101_9^3 - 4/3*c_0101_9^2 - 2*c_0101_9, c_0101_11 + 1/5*c_0101_9^3 + 6/5*c_0101_9^2 + 6/5*c_0101_9 + 2/5, c_0101_5 + 1/5*c_0101_9^3 + 6/5*c_0101_9^2 + 6/5*c_0101_9 + 2/5, c_0101_9^4 + 5*c_0101_9^3 + 10*c_0101_9^2 + 6*c_0101_9 + 3, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_5, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 27635/761076*c_0101_9^5 + 377309/1014768*c_0101_9^4 + 1065337/761076*c_0101_9^3 + 7319509/3044304*c_0101_9^2 + 691469/380538*c_0101_9 + 562471/1522152, c_0011_0 - 1, c_0011_10 + c_0101_9^4 + 7*c_0101_9^3 + 15*c_0101_9^2 + 14*c_0101_9 + 6, c_0011_11 + 1/4*c_0101_9^5 + 5/2*c_0101_9^4 + 35/4*c_0101_9^3 + 53/4*c_0101_9^2 + 19/2*c_0101_9 + 11/4, c_0011_3 + 1/4*c_0101_9^5 + 5/2*c_0101_9^4 + 37/4*c_0101_9^3 + 65/4*c_0101_9^2 + 29/2*c_0101_9 + 25/4, c_0011_5 + c_0101_9^2 + 2*c_0101_9 + 1, c_0011_7 - 1, c_0011_9 - c_0101_9^5 - 9*c_0101_9^4 - 29*c_0101_9^3 - 44*c_0101_9^2 - 34*c_0101_9 - 13, c_0101_0 - 1/4*c_0101_9^5 - 5/2*c_0101_9^4 - 37/4*c_0101_9^3 - 65/4*c_0101_9^2 - 29/2*c_0101_9 - 25/4, c_0101_11 - 1/2*c_0101_9^4 - 7/2*c_0101_9^3 - 7*c_0101_9^2 - 11/2*c_0101_9 - 3/2, c_0101_5 - 1/2*c_0101_9^4 - 7/2*c_0101_9^3 - 7*c_0101_9^2 - 11/2*c_0101_9 - 3/2, c_0101_9^6 + 11*c_0101_9^5 + 47*c_0101_9^4 + 102*c_0101_9^3 + 123*c_0101_9^2 + 83*c_0101_9 + 29, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB