Magma V2.19-8 Wed Aug 21 2013 00:51:33 on localhost [Seed = 2816586449] Type ? for help. Type -D to quit. Loading file "L11n149__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n149 geometric_solution 11.82554880 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 0 1 1 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 1 0 -1 -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 0.939180979998 0.825543613038 0 5 6 4 0132 0132 0132 3120 1 0 1 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 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 0.783348218966 0.526258485324 6 0 8 7 0132 0132 0132 0132 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174213232015 0.913788512231 9 6 10 0 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 1 0 0 -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 0.783348218966 0.526258485324 1 11 0 9 3120 0132 0132 0132 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 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 0.009904916730 0.474051511412 9 1 12 10 1023 0132 0132 0321 1 1 1 1 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 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 0.368709572577 0.797517498107 2 3 8 1 0132 0132 2103 0132 1 0 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 -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 0.939180979998 0.825543613038 10 8 2 11 2103 2103 0132 2103 1 0 1 1 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 1 -1 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 -0.201318865395 1.055963800024 6 7 12 2 2103 2103 0321 0132 1 0 1 1 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 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 -0.201318865395 1.055963800024 3 5 4 11 0132 1023 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 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 -1 1 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 0.368709572577 0.797517498107 12 5 7 3 0321 0321 2103 0132 1 0 1 1 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 0 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 0.821646731937 0.393399464055 12 4 9 7 1302 0132 0132 2103 1 0 1 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 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 0.578549963121 1.384743832099 10 11 8 5 0321 2031 0321 0132 1 1 1 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 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 0.578549963121 1.384743832099 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0011_7'], 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_8'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_0_11' : 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_12']), '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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_0110_11']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_7']), 'c_1100_11' : negation(d['c_0110_7']), 'c_1100_10' : negation(d['c_0110_7']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_2']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_8'], 'c_1010_2' : d['c_0011_8'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0110_11']), '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' : d['c_0011_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' : d['c_0011_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(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_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0110_7'], '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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_11, c_0110_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 21*c_1001_1*c_1001_2^2 - 34*c_1001_1*c_1001_2 - 5*c_1001_1 - 21*c_1001_2^2 + 42*c_1001_2 - 9, c_0011_0 - 1, c_0011_10 - c_1001_2^2 + c_1001_2, c_0011_11 - c_1001_1*c_1001_2^2 + c_1001_1*c_1001_2 - c_1001_1 + c_1001_2^2, c_0011_12 - c_1001_1*c_1001_2^2 + 2*c_1001_1*c_1001_2 - c_1001_1 + c_1001_2^2 - c_1001_2 + 1, c_0011_7 - c_1001_1*c_1001_2 + c_1001_2^2 + 1, c_0011_8 - c_1001_1*c_1001_2 + c_1001_2^2, c_0101_0 - 1, c_0101_1 + c_1001_1*c_1001_2^2 - 2*c_1001_1*c_1001_2 + c_1001_1 - c_1001_2, c_0101_10 - c_1001_1*c_1001_2^2 + c_1001_1*c_1001_2 + c_1001_1, c_0110_11 + c_1001_1*c_1001_2^2 - 3*c_1001_1*c_1001_2 + 2*c_1001_1, c_0110_7 - c_1001_1*c_1001_2 + c_1001_1 + c_1001_2, c_1001_1^2 - c_1001_1*c_1001_2^2 - c_1001_1 + 2*c_1001_2^2 - c_1001_2 + 1, c_1001_2^3 - 2*c_1001_2^2 + c_1001_2 - 1 ], 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_11, c_0110_7, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 182443839/102056*c_1001_2^7 + 815627313/408224*c_1001_2^6 - 41600035/408224*c_1001_2^5 - 698451771/408224*c_1001_2^4 + 224642069/25514*c_1001_2^3 + 1908428465/102056*c_1001_2^2 + 1747616257/102056*c_1001_2 + 258814395/51028, c_0011_0 - 1, c_0011_10 + 16476/12757*c_1001_2^7 + 6753/25514*c_1001_2^6 - 106223/102056*c_1001_2^5 + 19435/102056*c_1001_2^4 + 685491/102056*c_1001_2^3 + 350873/51028*c_1001_2^2 + 37435/12757*c_1001_2 - 1431/12757, c_0011_11 - 19155/25514*c_1001_2^7 - 103101/102056*c_1001_2^6 + 126551/102056*c_1001_2^5 + 20617/102056*c_1001_2^4 - 234095/51028*c_1001_2^3 - 370541/51028*c_1001_2^2 - 68137/25514*c_1001_2 - 8974/12757, c_0011_12 + 50055/25514*c_1001_2^7 + 243885/102056*c_1001_2^6 - 86473/25514*c_1001_2^5 + 14555/51028*c_1001_2^4 + 1159109/102056*c_1001_2^3 + 964725/51028*c_1001_2^2 + 59881/12757*c_1001_2 + 35678/12757, c_0011_7 + 13797/25514*c_1001_2^7 - 76089/102056*c_1001_2^6 + 2541/12757*c_1001_2^5 + 10013/25514*c_1001_2^4 + 217301/102056*c_1001_2^3 - 4917/12757*c_1001_2^2 + 6733/25514*c_1001_2 + 2352/12757, c_0011_8 - 13797/25514*c_1001_2^7 + 76089/102056*c_1001_2^6 - 2541/12757*c_1001_2^5 - 10013/25514*c_1001_2^4 - 217301/102056*c_1001_2^3 + 4917/12757*c_1001_2^2 - 6733/25514*c_1001_2 - 2352/12757, c_0101_0 - 1, c_0101_1 - 41841/25514*c_1001_2^7 - 1923/102056*c_1001_2^6 + 84339/51028*c_1001_2^5 - 46909/51028*c_1001_2^4 - 814987/102056*c_1001_2^3 - 89716/12757*c_1001_2^2 - 4871/12757*c_1001_2 - 9055/12757, c_0101_10 - 9633/25514*c_1001_2^7 + 236433/102056*c_1001_2^6 - 158947/102056*c_1001_2^5 - 84587/102056*c_1001_2^4 - 6741/25514*c_1001_2^3 + 118737/12757*c_1001_2^2 + 9401/12757*c_1001_2 + 6280/12757, c_0110_11 - 54087/12757*c_1001_2^7 + 81723/51028*c_1001_2^6 + 70541/25514*c_1001_2^5 - 33242/12757*c_1001_2^4 - 1044597/51028*c_1001_2^3 - 134438/12757*c_1001_2^2 - 63871/25514*c_1001_2 - 12266/12757, c_0110_7 - 41841/25514*c_1001_2^7 - 1923/102056*c_1001_2^6 + 84339/51028*c_1001_2^5 - 46909/51028*c_1001_2^4 - 814987/102056*c_1001_2^3 - 89716/12757*c_1001_2^2 - 4871/12757*c_1001_2 - 9055/12757, c_1001_1 + 8889/25514*c_1001_2^7 - 25089/102056*c_1001_2^6 - 62455/102056*c_1001_2^5 + 74383/102056*c_1001_2^4 + 16187/12757*c_1001_2^3 + 7991/51028*c_1001_2^2 - 19807/12757*c_1001_2 - 2271/12757, c_1001_2^8 + 3/4*c_1001_2^7 - 1/6*c_1001_2^6 - 3/4*c_1001_2^5 + 31/6*c_1001_2^4 + 101/12*c_1001_2^3 + 22/3*c_1001_2^2 + 5/3*c_1001_2 + 2/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB