Magma V2.19-8 Wed Aug 21 2013 01:10:52 on localhost [Seed = 3869310733] Type ? for help. Type -D to quit. Loading file "L14n55091__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55091 geometric_solution 11.62289368 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 2 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 0 0 0 0 0 -2 2 2 0 0 -2 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616423734594 0.935383144491 0 2 3 5 0132 0321 1023 0132 0 0 1 2 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 0 0 0 -2 0 2 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 0.496043277416 0.335355941146 6 0 7 1 0132 0132 0132 0321 0 2 1 2 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 -1 1 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.017588675821 1.490745638143 5 8 1 0 0132 0132 1023 0132 0 0 1 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 -2 2 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 0.645352571686 0.641894849440 6 6 0 9 2031 0132 0132 0132 0 0 1 2 0 0 1 -1 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 -2 1 -2 0 2 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 0.127829865595 1.202397551573 3 8 1 10 0132 0213 0132 0132 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221067461191 0.774759111003 2 4 4 11 0132 0132 1302 0132 0 2 2 1 0 0 -1 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 -1 2 -1 0 0 0 0 -2 0 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395283756257 0.544948974921 11 12 10 2 0132 0132 1302 0132 0 2 2 2 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308211867297 0.467691572245 12 3 5 11 0321 0132 0213 0213 0 2 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 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 0.329718227032 0.596774189805 12 12 4 10 2031 0321 0132 1023 0 0 2 1 0 -1 1 0 1 0 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 1 -1 0 -1 0 0 1 2 0 0 -2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920423664230 1.457361702870 7 11 5 9 2031 0132 0132 1023 0 0 2 2 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 1 0 -1 0 0 0 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346193287998 0.418873824999 7 10 6 8 0132 0132 0132 0213 0 2 2 2 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 -1 1 0 0 0 0 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.127829865595 1.202397551573 8 7 9 9 0321 0132 1302 0321 0 1 2 2 0 0 -1 1 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 1 -1 -1 0 2 -1 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920423664230 1.457361702870 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_9'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0110_10'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_0110_9'], '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' : d['c_0101_11'], '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' : 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' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : negation(d['c_1100_0']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_9'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0110_9'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0101_1'], 's_3_1' : d['1'], 's_3_0' : negation(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_0101_9'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_10'], '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' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_3'], 'c_0101_12' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), '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_0110_9'], 'c_0110_8' : d['c_0011_10'], '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_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_11']})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_9, c_0110_10, c_0110_9, c_1001_0, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 440308232/207323*c_1100_0^6 + 1047925852/207323*c_1100_0^5 - 3110918236/621969*c_1100_0^4 + 4784325785/1865907*c_1100_0^3 + 508741129/1243938*c_1100_0^2 - 7420131253/7463628*c_1100_0 + 885417085/1865907, c_0011_0 - 1, c_0011_10 + 2440928/207323*c_1100_0^6 - 5959312/207323*c_1100_0^5 + 15638800/621969*c_1100_0^4 - 21623420/1865907*c_1100_0^3 + 88538/621969*c_1100_0^2 + 5984263/1865907*c_1100_0 - 2272798/1865907, c_0011_3 - 4787936/207323*c_1100_0^6 + 12201520/207323*c_1100_0^5 - 41109424/621969*c_1100_0^4 + 78865172/1865907*c_1100_0^3 - 944190/207323*c_1100_0^2 - 16186987/1865907*c_1100_0 + 10997899/1865907, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 1380640/207323*c_1100_0^6 - 3266864/207323*c_1100_0^5 + 9422144/621969*c_1100_0^4 - 15311452/1865907*c_1100_0^3 - 895846/621969*c_1100_0^2 + 7404731/1865907*c_1100_0 - 1881590/1865907, c_0101_11 + 1649728/207323*c_1100_0^6 - 2148928/207323*c_1100_0^5 + 1271504/621969*c_1100_0^4 + 9424616/1865907*c_1100_0^3 - 13372528/1865907*c_1100_0^2 - 194164/621969*c_1100_0 + 79379/1865907, c_0101_9 - 1264256/207323*c_1100_0^6 + 2770896/207323*c_1100_0^5 - 8239696/621969*c_1100_0^4 + 13532276/1865907*c_1100_0^3 + 546820/1865907*c_1100_0^2 - 2049941/1865907*c_1100_0 + 442093/621969, c_0110_10 + 90752/207323*c_1100_0^6 + 350208/207323*c_1100_0^5 - 4495616/621969*c_1100_0^4 + 15088600/1865907*c_1100_0^3 - 4662868/1865907*c_1100_0^2 - 1185514/1865907*c_1100_0 + 233702/207323, c_0110_9 - 1380640/207323*c_1100_0^6 + 3266864/207323*c_1100_0^5 - 9422144/621969*c_1100_0^4 + 15311452/1865907*c_1100_0^3 + 895846/621969*c_1100_0^2 - 3672917/1865907*c_1100_0 + 1881590/1865907, c_1001_0 + 1380640/207323*c_1100_0^6 - 3266864/207323*c_1100_0^5 + 9422144/621969*c_1100_0^4 - 15311452/1865907*c_1100_0^3 - 895846/621969*c_1100_0^2 + 5538824/1865907*c_1100_0 - 1881590/1865907, c_1001_10 + 463360/207323*c_1100_0^6 - 1870624/207323*c_1100_0^5 + 7490384/621969*c_1100_0^4 - 10412008/1865907*c_1100_0^3 - 354652/1865907*c_1100_0^2 + 1247264/621969*c_1100_0 - 1566661/1865907, c_1100_0^7 - 5/2*c_1100_0^6 + 8/3*c_1100_0^5 - 113/72*c_1100_0^4 + 11/144*c_1100_0^3 + 107/288*c_1100_0^2 - 61/288*c_1100_0 + 1/288 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB