Magma V2.19-8 Tue Aug 20 2013 23:59:37 on localhost [Seed = 1208885514] Type ? for help. Type -D to quit. Loading file "L14n45408__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n45408 geometric_solution 11.23977460 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1302 0132 2 1 1 0 0 0 -1 1 0 0 0 0 1 0 0 -1 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 1 -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 0.382785735530 1.074143736100 0 4 5 4 0132 0132 0132 1230 2 1 0 1 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402162570015 0.699887268235 0 0 5 4 2031 0132 0321 0132 2 2 0 1 0 0 0 0 1 0 -1 0 -2 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 1 0 -1 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705619561318 0.826067627108 6 4 0 7 0132 1302 0132 0132 2 1 2 1 0 0 -1 1 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 -2 2 -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 0.125524290119 0.732668744689 1 1 2 3 3012 0132 0132 2031 2 2 1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705619561318 0.826067627108 7 6 2 1 3120 3120 0321 0132 2 1 1 2 0 0 0 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 -1 1 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 0.772831317539 1.325953672024 3 5 8 9 0132 3120 0132 0132 2 1 1 2 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 1 0 -1 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 0.723642174436 1.188874669050 9 10 3 5 0132 0132 0132 3120 2 1 1 2 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 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 0.723642174436 1.188874669050 9 11 10 6 3120 0132 1302 0132 2 1 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.261057364976 0.415286274295 7 10 6 8 0132 0213 0132 3120 2 1 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.027551205463 0.696914795170 8 7 9 11 2031 0132 0213 0132 2 2 2 1 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 -2 0 2 1 0 1 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261057364976 0.415286274295 11 8 10 11 3201 0132 0132 2310 2 2 2 2 0 0 -1 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 0 -2 2 -2 0 2 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411239122637 1.652135254216 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], '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' : negation(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_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_1001_11'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(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' : negation(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_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0101_11']), 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], '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_0011_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], '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_11, c_0011_3, c_0011_5, c_0101_1, c_0101_11, c_0101_2, c_0101_4, c_0101_6, c_0110_4, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6315379/43261056*c_0110_4^7 + 2938687/7210176*c_0110_4^6 - 59868563/21630528*c_0110_4^5 + 104776877/10815264*c_0110_4^4 - 6784631/300424*c_0110_4^3 + 47407337/1351908*c_0110_4^2 - 21466729/675954*c_0110_4 + 6433766/337977, c_0011_0 - 1, c_0011_10 - 21/128*c_0110_4^7 + 53/64*c_0110_4^6 - 11/4*c_0110_4^5 + 51/8*c_0110_4^4 - 83/8*c_0110_4^3 + 47/4*c_0110_4^2 - 17/2*c_0110_4 + 3, c_0011_11 - 7/64*c_0110_4^7 + 33/64*c_0110_4^6 - 45/32*c_0110_4^5 + 43/16*c_0110_4^4 - 3*c_0110_4^3 + 7/4*c_0110_4^2 + 1/2*c_0110_4 - 1, c_0011_3 - c_0110_4 + 1, c_0011_5 - 7/128*c_0110_4^7 + 5/16*c_0110_4^6 - 9/8*c_0110_4^5 + 23/8*c_0110_4^4 - 43/8*c_0110_4^3 + 15/2*c_0110_4^2 - 13/2*c_0110_4 + 3, c_0101_1 - 1, c_0101_11 - 7/128*c_0110_4^7 + 13/64*c_0110_4^6 - 1/2*c_0110_4^5 + 17/16*c_0110_4^4 - 5/4*c_0110_4^3 + 3/4*c_0110_4^2 + 1/2*c_0110_4 - 1, c_0101_2 - c_0110_4 + 1, c_0101_4 - 1, c_0101_6 - 7/128*c_0110_4^7 + 5/16*c_0110_4^6 - 9/8*c_0110_4^5 + 23/8*c_0110_4^4 - 43/8*c_0110_4^3 + 15/2*c_0110_4^2 - 13/2*c_0110_4 + 3, c_0110_4^8 - 40/7*c_0110_4^7 + 144/7*c_0110_4^6 - 368/7*c_0110_4^5 + 688/7*c_0110_4^4 - 960/7*c_0110_4^3 + 960/7*c_0110_4^2 - 640/7*c_0110_4 + 256/7, c_1001_11 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB