Magma V2.19-8 Tue Aug 20 2013 23:52:10 on localhost [Seed = 38037811] Type ? for help. Type -D to quit. Loading file "K12n241__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n241 geometric_solution 12.43682943 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 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 -1 1 0 0 0 0 1 0 0 -1 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242080369356 1.026500392859 0 0 5 4 0132 1230 0132 0132 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 7 -8 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465511073528 0.630472256604 6 0 7 6 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.457019755908 0.609964307901 8 9 0 10 0132 0132 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 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 0.301504225460 0.753170417088 8 5 1 8 3120 3201 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454776322536 1.324446215323 8 11 4 1 2031 0132 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184518311421 0.518732161419 2 2 12 7 0132 1302 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 -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 0.213287558974 1.049990735420 10 12 6 2 1230 1230 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 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 -0.173651810057 1.489422287271 3 4 5 4 0132 1302 1302 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.057894611385 0.844154531352 11 3 12 12 3120 0132 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0.578586140590 0.618937094027 11 7 3 11 0213 3012 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.623575093309 0.825944463031 10 5 10 9 0213 0132 1230 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.456892899509 1.002505822117 9 9 7 6 3012 0213 3012 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 -1 0 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 0.578586140590 0.618937094027 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_10'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_12'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0101_1'], 'c_1010_12' : d['c_0101_6'], 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : 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' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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_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' : 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_0101_6'], 'c_1100_8' : negation(d['c_0101_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_1001_7']), 'c_1100_6' : negation(d['c_1001_7']), 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_7']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_12'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0011_4']), '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'], 'c_1100_12' : negation(d['c_1001_7']), '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' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_12'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_6, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 632763/23944*c_1001_7^7 + 41810/2993*c_1001_7^6 + 94705/11972*c_1001_7^5 + 806781/11972*c_1001_7^4 + 3974939/23944*c_1001_7^3 + 1244347/11972*c_1001_7^2 + 1000735/23944*c_1001_7 + 473387/23944, c_0011_0 - 1, c_0011_10 + 3/8*c_1001_7^7 + 1/8*c_1001_7^6 - 3/8*c_1001_7^5 + 9/8*c_1001_7^4 + 7/4*c_1001_7^3 - 17/8*c_1001_7, c_0011_11 + 5/4*c_1001_7^7 + 15/8*c_1001_7^6 + 1/8*c_1001_7^5 + 29/8*c_1001_7^4 + 87/8*c_1001_7^3 + 41/4*c_1001_7^2 + 9/4*c_1001_7 - 3/8, c_0011_12 + c_1001_7^7 + 11/8*c_1001_7^6 + 1/8*c_1001_7^5 + 21/8*c_1001_7^4 + 65/8*c_1001_7^3 + 31/4*c_1001_7^2 + c_1001_7 + 7/8, c_0011_3 + 1, c_0011_4 - 11/8*c_1001_7^7 - 17/8*c_1001_7^6 - 5/8*c_1001_7^5 - 33/8*c_1001_7^4 - 47/4*c_1001_7^3 - 13*c_1001_7^2 - 39/8*c_1001_7 - 3, c_0011_7 + 7/8*c_1001_7^7 + 3/2*c_1001_7^6 + 3/4*c_1001_7^5 + 11/4*c_1001_7^4 + 59/8*c_1001_7^3 + 39/4*c_1001_7^2 + 43/8*c_1001_7 + 11/8, c_0101_0 - 11/8*c_1001_7^7 - 17/8*c_1001_7^6 - 5/8*c_1001_7^5 - 33/8*c_1001_7^4 - 47/4*c_1001_7^3 - 13*c_1001_7^2 - 39/8*c_1001_7 - 3, c_0101_1 + 11/8*c_1001_7^7 + 17/8*c_1001_7^6 + 5/8*c_1001_7^5 + 33/8*c_1001_7^4 + 47/4*c_1001_7^3 + 13*c_1001_7^2 + 39/8*c_1001_7 + 2, c_0101_12 - 1/8*c_1001_7^7 - 1/4*c_1001_7^6 - 1/2*c_1001_7^5 - 1/2*c_1001_7^4 - 7/8*c_1001_7^3 - 11/4*c_1001_7^2 - 21/8*c_1001_7 - 3/8, c_0101_6 - 5/8*c_1001_7^7 - 3/4*c_1001_7^6 - 2*c_1001_7^4 - 39/8*c_1001_7^3 - 15/4*c_1001_7^2 - 9/8*c_1001_7 - 11/8, c_1001_1 + 11/8*c_1001_7^7 + 17/8*c_1001_7^6 + 5/8*c_1001_7^5 + 33/8*c_1001_7^4 + 47/4*c_1001_7^3 + 13*c_1001_7^2 + 39/8*c_1001_7 + 1, c_1001_7^8 + 2*c_1001_7^7 + c_1001_7^6 + 3*c_1001_7^5 + 10*c_1001_7^4 + 13*c_1001_7^3 + 7*c_1001_7^2 + 3*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.880 Total time: 5.089 seconds, Total memory usage: 32.09MB