Magma V2.19-8 Wed Aug 21 2013 00:52:47 on localhost [Seed = 998059661] Type ? for help. Type -D to quit. Loading file "L12n1089__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1089 geometric_solution 11.12983770 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 1 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 -5 4 1 -4 0 4 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 0.516071858851 0.249878849507 0 3 6 5 0132 1023 0132 0132 1 1 0 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 -5 0 5 4 0 0 -4 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066903104626 0.904754051264 4 0 8 7 1023 0132 0132 0132 1 1 0 1 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 5 -5 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 0.156059889545 1.224637709703 1 9 10 0 1023 0132 0132 0132 1 1 0 1 0 0 -1 1 -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 0 4 -4 5 0 -1 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019684996263 0.579072208515 9 2 0 8 0132 1023 0132 1230 1 1 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 -1 1 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 0.897604693070 0.803519434290 10 8 1 11 1023 0213 0132 0132 1 1 1 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 5 -5 0 -4 0 4 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.066903104626 0.904754051264 9 11 12 1 3120 2031 0132 0132 1 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 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 0.689317755808 0.736252010856 10 9 2 11 0213 0213 0132 0321 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 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 1.066903104626 0.904754051264 4 10 5 2 3012 0213 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 -1 0 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 -0.569706731564 0.760042434826 4 3 7 6 0132 0132 0213 3120 1 1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.081286220179 1.099261946512 7 5 8 3 0213 1023 0213 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 4 0 -4 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019684996263 0.579072208515 6 7 5 12 1302 0321 0132 2310 1 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 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 0.689317755808 0.736252010856 11 12 12 6 3201 1230 3012 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.322355345562 0.723784111568 ==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' : d['c_0101_0'], 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : d['c_0011_7'], 's_2_0' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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_0011_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], '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_0011_10'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_6, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4124933/24320*c_1001_0^8 - 3139901/4864*c_1001_0^7 - 477295/304*c_1001_0^6 - 58530133/24320*c_1001_0^5 - 37580333/12160*c_1001_0^4 - 11910981/4864*c_1001_0^3 - 54317423/24320*c_1001_0^2 - 18295099/24320*c_1001_0 - 5287033/6080, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 5/16*c_1001_0^8 - 23/16*c_1001_0^7 - 59/16*c_1001_0^6 - 93/16*c_1001_0^5 - 27/4*c_1001_0^4 - 39/8*c_1001_0^3 - 25/8*c_1001_0^2 - 17/16*c_1001_0 - 21/16, c_0011_12 + 5/16*c_1001_0^8 + 15/16*c_1001_0^7 + 27/16*c_1001_0^6 + 21/16*c_1001_0^5 + 3/4*c_1001_0^4 - 9/8*c_1001_0^3 - 7/8*c_1001_0^2 - 31/16*c_1001_0 - 3/16, c_0011_6 + 5/16*c_1001_0^8 + 23/16*c_1001_0^7 + 59/16*c_1001_0^6 + 93/16*c_1001_0^5 + 27/4*c_1001_0^4 + 39/8*c_1001_0^3 + 25/8*c_1001_0^2 + 17/16*c_1001_0 + 21/16, c_0011_7 + c_1001_0, c_0101_0 + c_1001_0^2 + c_1001_0 + 1, c_0101_1 - 1, c_0101_12 + 3/8*c_1001_0^8 + 7/8*c_1001_0^7 + 9/8*c_1001_0^6 + 1/8*c_1001_0^5 - 1/2*c_1001_0^4 - 11/4*c_1001_0^3 - 7/4*c_1001_0^2 - 25/8*c_1001_0 - 7/8, c_0101_2 + 1/8*c_1001_0^8 + 3/8*c_1001_0^7 + 7/8*c_1001_0^6 + 9/8*c_1001_0^5 + 3/2*c_1001_0^4 + 3/4*c_1001_0^3 + 5/4*c_1001_0^2 - 3/8*c_1001_0 + 9/8, c_0101_6 + 3/16*c_1001_0^8 + 9/16*c_1001_0^7 + 13/16*c_1001_0^6 + 3/16*c_1001_0^5 - 3/4*c_1001_0^4 - 15/8*c_1001_0^3 - 9/8*c_1001_0^2 + 7/16*c_1001_0 - 5/16, c_1001_0^9 + 4*c_1001_0^8 + 10*c_1001_0^7 + 16*c_1001_0^6 + 21*c_1001_0^5 + 18*c_1001_0^4 + 16*c_1001_0^3 + 7*c_1001_0^2 + 6*c_1001_0 + 1, c_1001_11 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB