Magma V2.19-8 Wed Aug 21 2013 01:11:16 on localhost [Seed = 2648409171] Type ? for help. Type -D to quit. Loading file "L14n56954__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n56954 geometric_solution 12.38757568 oriented_manifold CS_known -0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 2 0132 0132 2031 1230 2 2 1 2 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 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 0.598742951428 1.110531175030 0 3 3 0 0132 0132 1302 1302 2 2 2 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 -1 0 1 -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 0.623851455485 0.697669482588 0 0 5 4 3012 0132 0132 0132 2 2 2 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 -1 0 2 -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 0.287786612157 0.796486954420 1 1 4 6 2031 0132 2310 0132 2 2 1 2 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 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 0.287786612157 0.796486954420 7 3 2 7 0132 3201 0132 1023 2 2 2 2 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 0 0 0 0 0 -0.583589828602 0.775063234172 6 6 8 2 1230 2031 0132 0132 2 2 1 2 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 0 0 0 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931710810004 0.979966243912 5 5 3 9 1302 3012 0132 0132 2 2 2 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 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 0.931710810004 0.979966243912 4 9 8 4 0132 2310 1023 1023 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308933927281 0.813063940699 10 11 7 5 0132 0132 1023 0132 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702484251589 0.759851093586 12 10 6 7 0132 3201 0132 3201 2 2 2 2 0 0 0 0 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 -1 1 0 0 0 0 0 -2 1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702484251589 0.759851093586 8 10 9 10 0132 1302 2310 2031 2 2 2 2 0 0 0 0 0 0 0 0 0 0 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 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674894730150 0.556359747242 12 8 12 12 1023 0132 2031 3012 2 0 2 2 0 0 0 0 0 0 1 -1 -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 0 0 0 -1 0 3 -2 -2 0 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397081751765 0.793032781072 9 11 11 11 0132 1023 1230 1302 0 2 2 2 0 0 1 -1 0 0 -1 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 -3 0 0 -2 2 -2 2 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397081751765 0.793032781072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0011_10'], 's_3_11' : 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' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 'c_1100_7' : negation(d['c_1100_2']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_1100_2'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : d['c_1100_2'], 's_3_1' : negation(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_11'], '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' : 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_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_0101_11'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_12']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], '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' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_12']), 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_9']})} 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_4, c_0011_5, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_4, c_0101_8, c_0101_9, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 100498428291057/7150620741632*c_1100_2^12 + 270641852690975/7150620741632*c_1100_2^11 - 408863180960223/7150620741632*c_1100_2^10 - 10689523265345/310896553984*c_1100_2^9 + 107502664750885/310896553984*c_1100_2^8 + 421051679781359/7150620741632*c_1100_2^7 - 842777742559405/893827592704*c_1100_2^6 + 1631912291030/1745757017*c_1100_2^5 + 4088559986786491/3575310370816*c_1100_2^4 - 792282691919237/446913796352*c_1100_2^3 + 2986353608951037/7150620741632*c_1100_2^2 + 8660308892941937/7150620741632*c_1100_2 - 211239751248073/893827592704, c_0011_0 - 1, c_0011_10 + 19115085/1214439664*c_1100_2^12 + 8857089/303609916*c_1100_2^11 - 132113923/1214439664*c_1100_2^10 - 23312605/607219832*c_1100_2^9 + 446118849/1214439664*c_1100_2^8 - 8740744/75902479*c_1100_2^7 - 334726487/303609916*c_1100_2^6 + 401815905/303609916*c_1100_2^5 + 496981305/607219832*c_1100_2^4 - 1183104611/607219832*c_1100_2^3 + 1489412115/1214439664*c_1100_2^2 + 74105609/303609916*c_1100_2 + 31025188/75902479, c_0011_4 - c_1100_2, c_0011_5 - 1914465/1214439664*c_1100_2^12 + 2273889/303609916*c_1100_2^11 + 39788959/1214439664*c_1100_2^10 - 26385567/607219832*c_1100_2^9 - 15999525/1214439664*c_1100_2^8 + 17481437/75902479*c_1100_2^7 + 15052027/303609916*c_1100_2^6 - 173219883/303609916*c_1100_2^5 + 546866343/607219832*c_1100_2^4 + 59664307/607219832*c_1100_2^3 - 284937735/1214439664*c_1100_2^2 + 298194545/303609916*c_1100_2 - 38728929/75902479, c_0011_6 - 1914465/1214439664*c_1100_2^12 + 2273889/303609916*c_1100_2^11 + 39788959/1214439664*c_1100_2^10 - 26385567/607219832*c_1100_2^9 - 15999525/1214439664*c_1100_2^8 + 17481437/75902479*c_1100_2^7 + 15052027/303609916*c_1100_2^6 - 173219883/303609916*c_1100_2^5 + 546866343/607219832*c_1100_2^4 + 59664307/607219832*c_1100_2^3 - 284937735/1214439664*c_1100_2^2 + 298194545/303609916*c_1100_2 - 38728929/75902479, c_0101_0 - 1, c_0101_10 + 15286155/1214439664*c_1100_2^12 + 13404867/303609916*c_1100_2^11 - 52536005/1214439664*c_1100_2^10 - 76083739/607219832*c_1100_2^9 + 414119799/1214439664*c_1100_2^8 + 26222130/75902479*c_1100_2^7 - 304622433/303609916*c_1100_2^6 + 55376139/303609916*c_1100_2^5 + 1590713991/607219832*c_1100_2^4 - 1063775997/607219832*c_1100_2^3 - 294903019/1214439664*c_1100_2^2 + 63274867/303609916*c_1100_2 + 29469809/75902479, c_0101_11 - 1, c_0101_12 + 1914465/607219832*c_1100_2^12 - 2273889/151804958*c_1100_2^11 - 39788959/607219832*c_1100_2^10 + 26385567/303609916*c_1100_2^9 + 15999525/607219832*c_1100_2^8 - 34962874/75902479*c_1100_2^7 - 15052027/151804958*c_1100_2^6 + 173219883/151804958*c_1100_2^5 - 546866343/303609916*c_1100_2^4 - 59664307/303609916*c_1100_2^3 + 892157567/607219832*c_1100_2^2 - 146389587/151804958*c_1100_2 + 1555379/75902479, c_0101_4 - 1914465/1214439664*c_1100_2^12 + 2273889/303609916*c_1100_2^11 + 39788959/1214439664*c_1100_2^10 - 26385567/607219832*c_1100_2^9 - 15999525/1214439664*c_1100_2^8 + 17481437/75902479*c_1100_2^7 + 15052027/303609916*c_1100_2^6 - 173219883/303609916*c_1100_2^5 + 546866343/607219832*c_1100_2^4 + 59664307/607219832*c_1100_2^3 - 284937735/1214439664*c_1100_2^2 + 298194545/303609916*c_1100_2 + 37173550/75902479, c_0101_8 - 1720453/75902479*c_1100_2^12 - 2118586/75902479*c_1100_2^11 + 22159877/151804958*c_1100_2^10 - 21095525/151804958*c_1100_2^9 - 66926057/151804958*c_1100_2^8 + 42911702/75902479*c_1100_2^7 + 132271841/151804958*c_1100_2^6 - 247376877/75902479*c_1100_2^5 + 259258487/151804958*c_1100_2^4 + 136559715/75902479*c_1100_2^3 - 298594658/75902479*c_1100_2^2 + 98863569/151804958*c_1100_2 - 37831111/75902479, c_0101_9 - 15286155/1214439664*c_1100_2^12 - 13404867/303609916*c_1100_2^11 + 52536005/1214439664*c_1100_2^10 + 76083739/607219832*c_1100_2^9 - 414119799/1214439664*c_1100_2^8 - 26222130/75902479*c_1100_2^7 + 304622433/303609916*c_1100_2^6 - 55376139/303609916*c_1100_2^5 - 1590713991/607219832*c_1100_2^4 + 1063775997/607219832*c_1100_2^3 + 294903019/1214439664*c_1100_2^2 - 366884783/303609916*c_1100_2 - 29469809/75902479, c_1100_2^13 + 3*c_1100_2^12 - 3*c_1100_2^11 - 3*c_1100_2^10 + 23*c_1100_2^9 + 11*c_1100_2^8 - 60*c_1100_2^7 + 48*c_1100_2^6 + 86*c_1100_2^5 - 88*c_1100_2^4 + 13*c_1100_2^3 + 69*c_1100_2^2 + 12*c_1100_2 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB