Magma V2.19-8 Tue Aug 20 2013 23:52:44 on localhost [Seed = 778585597] Type ? for help. Type -D to quit. Loading file "L13n3604__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3604 geometric_solution 10.75669771 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 0 0 -1 0 1 -1 0 2 -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 0.559161503907 0.514426244835 0 5 6 5 0132 0132 0132 1230 0 0 1 0 0 0 0 0 -1 0 0 1 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 -1 1 1 0 0 -1 -1 -1 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203553300952 0.883254109124 3 0 7 7 0321 0132 3201 0132 1 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 1 0 -1 0 0 1 -1 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665954447939 0.567981605314 2 4 8 0 0321 2103 0132 0132 1 0 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 0 0 0 0 0 0 0 0 2 0 0 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471461356462 1.135177800615 9 3 0 10 0132 2103 0132 0132 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 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 0 0 0 0 -0.279780440985 1.253134281311 1 1 11 8 3012 0132 0132 2310 0 0 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 -1 0 1 0 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563072685250 0.624443874997 10 7 8 1 3120 2310 3120 0132 0 0 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.171859182207 1.029367437203 2 10 2 6 2310 3120 0132 3201 1 0 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 0 0 0 0 -1 1 0 -2 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 0.080456319872 1.100962060089 5 9 6 3 3201 3120 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.243185436478 0.822194595139 4 8 11 11 0132 3120 3012 0132 0 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 0 0 0 0 0 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 0 0 0 0 -0.152095722190 0.637611458498 11 7 4 6 0132 3120 0132 3120 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 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 0.261270880639 0.832650813599 10 9 9 5 0132 1230 0132 0132 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 0 0 0 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 -0.331739572112 0.892055996360 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0011_6']), '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_1'], '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' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : negation(d['1']), 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], '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_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0011_8'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_4, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 34213451417/7607600*c_1001_0^10 - 196605804261/7607600*c_1001_0^9 - 155430196849/7607600*c_1001_0^8 + 103289913871/950950*c_1001_0^7 + 1193218475233/7607600*c_1001_0^6 - 305252810281/3803800*c_1001_0^5 - 149467093437/1901900*c_1001_0^4 + 928804946/475475*c_1001_0^3 - 720374864221/3803800*c_1001_0^2 + 52513309283/1521520*c_1001_0 - 134978838329/7607600, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_0^10 - 2*c_1001_0^9 - 7/2*c_1001_0^8 + 13/2*c_1001_0^7 + 39/2*c_1001_0^6 + 5/4*c_1001_0^5 - 49/4*c_1001_0^4 - 5/4*c_1001_0^3 - 75/4*c_1001_0^2 - 4*c_1001_0 - 1/4, c_0011_3 + 1/16*c_1001_0^10 + 11/16*c_1001_0^9 + 25/16*c_1001_0^8 - 17/8*c_1001_0^7 - 127/16*c_1001_0^6 + 1/8*c_1001_0^5 + 11/2*c_1001_0^4 - 9/4*c_1001_0^3 + 51/8*c_1001_0^2 - 15/16*c_1001_0 - 17/16, c_0011_4 + 1/4*c_1001_0^10 + 7/4*c_1001_0^9 + 5/2*c_1001_0^8 - 25/4*c_1001_0^7 - 61/4*c_1001_0^6 + 3/4*c_1001_0^5 + 41/4*c_1001_0^4 + 7/4*c_1001_0^3 + 59/4*c_1001_0^2 + 2*c_1001_0 - 1/2, c_0011_6 - 9/16*c_1001_0^10 - 47/16*c_1001_0^9 - 29/16*c_1001_0^8 + 93/8*c_1001_0^7 + 251/16*c_1001_0^6 - 39/8*c_1001_0^5 - 31/4*c_1001_0^4 - 11/2*c_1001_0^3 - 109/8*c_1001_0^2 - 13/16*c_1001_0 + 9/16, c_0011_8 - 5/16*c_1001_0^10 - 31/16*c_1001_0^9 - 45/16*c_1001_0^8 + 37/8*c_1001_0^7 + 243/16*c_1001_0^6 + 75/8*c_1001_0^5 - 5*c_1001_0^4 - 35/4*c_1001_0^3 - 83/8*c_1001_0^2 - 181/16*c_1001_0 - 27/16, c_0101_1 - 1, c_0101_10 + 3/16*c_1001_0^10 + 23/16*c_1001_0^9 + 39/16*c_1001_0^8 - 19/4*c_1001_0^7 - 227/16*c_1001_0^6 - 7/8*c_1001_0^5 + 21/2*c_1001_0^4 + 5/4*c_1001_0^3 + 93/8*c_1001_0^2 + 63/16*c_1001_0 - 9/16, c_0101_2 - 3/4*c_1001_0^10 - 19/4*c_1001_0^9 - 23/4*c_1001_0^8 + 33/2*c_1001_0^7 + 139/4*c_1001_0^6 - 5/2*c_1001_0^5 - 35/2*c_1001_0^4 - 28*c_1001_0^2 - 7/4*c_1001_0 + 3/4, c_0101_6 + 1/16*c_1001_0^10 + 11/16*c_1001_0^9 + 25/16*c_1001_0^8 - 17/8*c_1001_0^7 - 127/16*c_1001_0^6 + 1/8*c_1001_0^5 + 11/2*c_1001_0^4 - 9/4*c_1001_0^3 + 51/8*c_1001_0^2 + 1/16*c_1001_0 - 17/16, c_0101_8 - 9/16*c_1001_0^10 - 53/16*c_1001_0^9 - 53/16*c_1001_0^8 + 47/4*c_1001_0^7 + 329/16*c_1001_0^6 - 27/8*c_1001_0^5 - 7*c_1001_0^4 + 5/4*c_1001_0^3 - 131/8*c_1001_0^2 + 35/16*c_1001_0 + 3/16, c_1001_0^11 + 6*c_1001_0^10 + 6*c_1001_0^9 - 23*c_1001_0^8 - 41*c_1001_0^7 + 9*c_1001_0^6 + 22*c_1001_0^5 + 4*c_1001_0^4 + 42*c_1001_0^3 + 3*c_1001_0^2 + 2*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB