Magma V2.19-8 Tue Aug 20 2013 16:18:35 on localhost [Seed = 2118116172] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2767 geometric_solution 6.00055394 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 0 1 -1 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 1.085110300466 1.219615260206 0 3 4 2 0132 1230 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719326148854 0.667074211999 5 0 1 4 0132 0132 2031 1230 0 0 0 0 0 1 0 -1 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247648176019 0.934076034824 0 4 1 0 3201 3120 3012 0132 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 1 0 -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 -0.056941197188 0.815957089148 2 3 5 1 3012 3120 3012 0132 0 0 0 0 0 0 0 0 1 0 -1 0 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 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 0.522999965941 0.649326178030 2 4 6 6 0132 1230 0132 3201 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138908249808 0.385333018991 6 5 6 5 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.627169334239 2.486729055886 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0101_0']), '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_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1655674963113121/4851165614020*c_0101_2^9 + 345701165324693/485116561402*c_0101_2^8 - 2051350599868469/4851165614020*c_0101_2^7 - 2130164636559527/4851165614020*c_0101_2^6 + 72174509840751/2425582807010*c_0101_2^5 + 13050568337757/220507527910*c_0101_2^4 - 166058032447099/1212791403505*c_0101_2^3 - 667452197397812/1212791403505*c_0101_2^2 + 1443491780064139/4851165614020*c_0101_2 - 797825705939391/4851165614020, c_0011_0 - 1, c_0011_3 - 487458346935/242558280701*c_0101_2^9 + 1193344788874/242558280701*c_0101_2^8 - 741405354356/242558280701*c_0101_2^7 - 755765129969/242558280701*c_0101_2^6 + 288268693665/242558280701*c_0101_2^5 + 38575634953/22050752791*c_0101_2^4 + 113508487931/242558280701*c_0101_2^3 - 866278661671/242558280701*c_0101_2^2 + 663290043543/242558280701*c_0101_2 - 24841673884/242558280701, c_0011_4 + 2970451555565/485116561402*c_0101_1*c_0101_2^9 - 3163425273842/242558280701*c_0101_1*c_0101_2^8 + 3515552103961/485116561402*c_0101_1*c_0101_2^7 + 4578050296713/485116561402*c_0101_1*c_0101_2^6 - 398378735082/242558280701*c_0101_1*c_0101_2^5 - 53770895595/22050752791*c_0101_1*c_0101_2^4 + 554485802611/242558280701*c_0101_1*c_0101_2^3 + 2595427094081/242558280701*c_0101_1*c_0101_2^2 - 2533903444837/485116561402*c_0101_1*c_0101_2 + 879364045961/485116561402*c_0101_1, c_0011_6 - 34514176/36812609*c_0101_2^9 + 111349196/36812609*c_0101_2^8 - 111937471/36812609*c_0101_2^7 - 33684996/36812609*c_0101_2^6 + 70845052/36812609*c_0101_2^5 + 29744759/36812609*c_0101_2^4 - 25684547/36812609*c_0101_2^3 - 53090297/36812609*c_0101_2^2 + 75205466/36812609*c_0101_2 - 33551907/36812609, c_0101_0 - 487458346935/242558280701*c_0101_2^9 + 1193344788874/242558280701*c_0101_2^8 - 741405354356/242558280701*c_0101_2^7 - 755765129969/242558280701*c_0101_2^6 + 288268693665/242558280701*c_0101_2^5 + 38575634953/22050752791*c_0101_2^4 + 113508487931/242558280701*c_0101_2^3 - 866278661671/242558280701*c_0101_2^2 + 663290043543/242558280701*c_0101_2 - 24841673884/242558280701, c_0101_1^2 - 23473631298/242558280701*c_0101_2^9 - 119423116004/242558280701*c_0101_2^8 + 279866367280/242558280701*c_0101_2^7 - 160513414854/242558280701*c_0101_2^6 - 184995437247/242558280701*c_0101_2^5 - 13060527460/22050752791*c_0101_2^4 - 8499251232/242558280701*c_0101_2^3 + 95880340855/242558280701*c_0101_2^2 - 70132541257/242558280701*c_0101_2 - 56102924623/242558280701, c_0101_2^10 - 59/29*c_0101_2^9 + 31/29*c_0101_2^8 + 42/29*c_0101_2^7 - 1/29*c_0101_2^6 - 8/29*c_0101_2^5 + 10/29*c_0101_2^4 + 48/29*c_0101_2^3 - 23/29*c_0101_2^2 + 10/29*c_0101_2 + 1/29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB