Magma V2.19-8 Wed Aug 21 2013 01:05:01 on localhost [Seed = 1629976836] Type ? for help. Type -D to quit. Loading file "L14n24989__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24989 geometric_solution 11.46725964 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736483705727 0.431656746819 0 5 3 2 0132 0132 2310 3120 1 1 1 1 0 -1 1 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 -1 2 -1 0 0 0 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 0.940365348142 0.431467348940 1 0 6 5 3120 0132 0132 2103 1 1 1 1 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 -1 0 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361569639409 0.335372828196 5 1 7 0 2103 3201 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -2 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736483705727 0.431656746819 7 8 0 9 1230 0132 0132 0132 1 1 0 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 0 1 -1 -1 0 0 1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398260765137 0.666105106129 6 1 3 2 0321 0132 2103 2103 1 1 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 0 0 0 1 0 -1 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 1.227589550557 0.644863096820 5 8 10 2 0321 0321 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.227967037031 1.835399069052 10 4 11 3 0213 3012 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398260765137 0.666105106129 10 4 9 6 2103 0132 2103 0321 1 1 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 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307255668790 1.346745992889 8 11 4 12 2103 3012 0132 0132 1 1 1 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 -1 1 0 0 0 -1 1 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971122061035 0.818244277615 7 11 8 6 0213 0132 2103 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838975574255 0.705793325093 9 10 12 7 1230 0132 3201 0132 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 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 0.971122061035 0.818244277615 11 12 9 12 2310 2310 0132 3201 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 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 0.757916914233 0.915627653766 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_12']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_4']), 'c_1010_10' : negation(d['c_0101_12']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_1001_0']), '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_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_2'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_3']), 'c_0110_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), '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_7'], '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_12'], 'c_0110_8' : negation(d['c_0011_6']), '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_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0011_7'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0011_0']), 's_2_9' : d['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_12, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_3, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 54667205/59114*c_1001_2^8 - 41922355/354684*c_1001_2^7 - 80704993/88671*c_1001_2^6 - 324561074/29557*c_1001_2^5 + 2584596253/88671*c_1001_2^4 - 5907498701/177342*c_1001_2^3 + 1196013310/88671*c_1001_2^2 + 17028053/16122*c_1001_2 + 858884505/118228, c_0011_0 - 1, c_0011_10 + 1303/10748*c_1001_2^8 - 577/10748*c_1001_2^7 - 631/2687*c_1001_2^6 - 4108/2687*c_1001_2^5 + 22379/5374*c_1001_2^4 - 23627/5374*c_1001_2^3 + 1529/2687*c_1001_2^2 + 22309/10748*c_1001_2 + 9965/10748, c_0011_12 - 4145/29557*c_1001_2^8 + 9509/59114*c_1001_2^7 + 8555/29557*c_1001_2^6 + 50641/29557*c_1001_2^5 - 175567/29557*c_1001_2^4 + 230809/29557*c_1001_2^3 - 121073/29557*c_1001_2^2 - 2469/2687*c_1001_2 - 26819/59114, c_0011_4 - 1, c_0011_6 + 12747/59114*c_1001_2^8 - 613/59114*c_1001_2^7 - 7539/29557*c_1001_2^6 - 76509/29557*c_1001_2^5 + 192707/29557*c_1001_2^4 - 202662/29557*c_1001_2^3 + 46143/29557*c_1001_2^2 + 13243/5374*c_1001_2 + 66413/59114, c_0011_7 + 1, c_0101_0 + 32125/118228*c_1001_2^8 + 6631/118228*c_1001_2^7 - 6067/29557*c_1001_2^6 - 94903/29557*c_1001_2^5 + 445087/59114*c_1001_2^4 - 454327/59114*c_1001_2^3 + 55811/29557*c_1001_2^2 + 12277/10748*c_1001_2 + 100701/118228, c_0101_1 - 4457/59114*c_1001_2^8 - 4448/29557*c_1001_2^7 - 1016/29557*c_1001_2^6 + 25868/29557*c_1001_2^5 - 17140/29557*c_1001_2^4 - 28147/29557*c_1001_2^3 + 74930/29557*c_1001_2^2 - 8305/5374*c_1001_2 - 19797/29557, c_0101_11 - 7061/118228*c_1001_2^8 + 20981/118228*c_1001_2^7 + 4401/29557*c_1001_2^6 + 21187/29557*c_1001_2^5 - 213641/59114*c_1001_2^4 + 385175/59114*c_1001_2^3 - 154621/29557*c_1001_2^2 + 8715/10748*c_1001_2 + 47099/118228, c_0101_12 - 3423/29557*c_1001_2^8 + 3281/29557*c_1001_2^7 + 2929/29557*c_1001_2^6 + 39581/29557*c_1001_2^5 - 136657/29557*c_1001_2^4 + 217089/29557*c_1001_2^3 - 164289/29557*c_1001_2^2 + 5731/2687*c_1001_2 - 9751/29557, c_0101_3 + c_1001_2, c_1001_0 + 32125/118228*c_1001_2^8 + 6631/118228*c_1001_2^7 - 6067/29557*c_1001_2^6 - 94903/29557*c_1001_2^5 + 445087/59114*c_1001_2^4 - 454327/59114*c_1001_2^3 + 55811/29557*c_1001_2^2 + 12277/10748*c_1001_2 + 100701/118228, c_1001_2^9 - c_1001_2^7 - 12*c_1001_2^6 + 30*c_1001_2^5 - 32*c_1001_2^4 + 10*c_1001_2^3 + 3*c_1001_2^2 + 8*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB