Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 172725994] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1964 geometric_solution 5.54249469 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 0 1 -1 1 0 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 1.485971000223 0.755591699387 0 2 3 0 3201 0132 0132 0132 0 0 0 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 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820864707535 0.405437537860 4 1 4 5 0132 0132 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102368487875 0.630485159778 6 5 6 1 0132 0132 2310 0132 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 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 1.102368487875 0.630485159778 2 2 6 6 0132 3201 1230 3012 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 0 0 0 0 0 -1 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 0.484402834419 0.328811693455 5 3 2 5 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.616338932614 0.650303517787 3 3 4 4 0132 3201 1230 3012 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 -1 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 0.484402834419 0.328811693455 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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' : negation(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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 162207556091821439/356712691907563200*c_1001_1^9 - 169752839621283833/356712691907563200*c_1001_1^8 + 55506410409184741/13211581181761600*c_1001_1^7 + 10564961064149786197/118904230635854400*c_1001_1^6 + 34974067894410242891/89178172976890800*c_1001_1^5 + 504783644319074535799/356712691907563200*c_1001_1^4 + 19264739315291256443/22294543244222700*c_1001_1^3 + 646707112544818681/5404737756175200*c_1001_1^2 - 429113538470838263/1783563459537816*c_1001_1 - 1401414047474950171/14268507676302528, c_0011_0 - 1, c_0011_1 - 866101162/33779610976095*c_1001_1^9 + 787873151/33779610976095*c_1001_1^8 + 485799124/3753290108455*c_1001_1^7 + 50632157651/11259870325365*c_1001_1^6 + 505964511562/33779610976095*c_1001_1^5 + 2235591827057/33779610976095*c_1001_1^4 + 23966995594/33779610976095*c_1001_1^3 + 1065363291446/11259870325365*c_1001_1^2 - 3064134198745/6755922195219*c_1001_1 - 4201916250463/6755922195219, c_0101_1 - 549944367401/120105283470560*c_1001_1^9 - 2813365767691/360315850411680*c_1001_1^8 + 4809179250053/120105283470560*c_1001_1^7 + 110891993780079/120105283470560*c_1001_1^6 + 68011101701197/15013160433820*c_1001_1^5 + 6007911632233903/360315850411680*c_1001_1^4 + 3128789159795753/180157925205840*c_1001_1^3 + 66037742847573/15013160433820*c_1001_1^2 - 28307653757111/12010528347056*c_1001_1 - 124561727409217/72063170082336, c_0101_2 + 1019037583/216189510247008*c_1001_1^9 - 682592287807/1080947551235040*c_1001_1^8 - 31467717831/24021056694112*c_1001_1^7 + 323406831271/72063170082336*c_1001_1^6 + 34065255364831/270236887808760*c_1001_1^5 + 707151253319573/1080947551235040*c_1001_1^4 + 663000788288641/270236887808760*c_1001_1^3 + 515246574949027/180157925205840*c_1001_1^2 + 10655946311033/54047377561752*c_1001_1 - 113366826160633/216189510247008, c_0101_3 + 1019037583/216189510247008*c_1001_1^9 - 682592287807/1080947551235040*c_1001_1^8 - 31467717831/24021056694112*c_1001_1^7 + 323406831271/72063170082336*c_1001_1^6 + 34065255364831/270236887808760*c_1001_1^5 + 707151253319573/1080947551235040*c_1001_1^4 + 663000788288641/270236887808760*c_1001_1^3 + 515246574949027/180157925205840*c_1001_1^2 + 10655946311033/54047377561752*c_1001_1 - 113366826160633/216189510247008, c_0101_4 + 260047538177/135118443904380*c_1001_1^9 + 85490374337/33779610976095*c_1001_1^8 - 53860217613/3002632086764*c_1001_1^7 - 8591747600159/22519740650730*c_1001_1^6 - 118486274692417/67559221952190*c_1001_1^5 - 851030446713931/135118443904380*c_1001_1^4 - 634468543053083/135118443904380*c_1001_1^3 + 23327396684909/45039481301460*c_1001_1^2 + 60729955175303/27023688780876*c_1001_1 + 4473341094032/6755922195219, c_1001_1^10 + 2*c_1001_1^9 - 8*c_1001_1^8 - 204*c_1001_1^7 - 1051*c_1001_1^6 - 3981*c_1001_1^5 - 5067*c_1001_1^4 - 2794*c_1001_1^3 - 70*c_1001_1^2 + 625*c_1001_1 + 275 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB