Magma V2.19-8 Tue Aug 20 2013 23:52:37 on localhost [Seed = 560417530] Type ? for help. Type -D to quit. Loading file "K12n292__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n292 geometric_solution 11.78844449 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428186047918 0.834825138753 0 5 6 2 0132 0132 0132 1023 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 1 0 0 -1 1 -15 0 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773381972284 1.488611160960 7 0 8 1 0132 0132 0132 1023 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 -1 0 1 0 0 0 0 14 0 0 -14 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145585779820 0.430420873796 9 6 8 0 0132 1230 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.344928416212 0.778408093423 9 10 0 11 3120 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.717550407345 0.542676533699 12 1 10 11 0132 0132 3201 0321 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 -1 1 0 0 0 0 0 0 0 0 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.241656536979 0.817242692703 9 12 3 1 2103 0213 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163476397126 0.639984941574 2 12 10 9 0132 0132 0321 2031 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 1 -1 1 0 0 -1 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742092453907 1.037300064137 11 10 3 2 0321 0321 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101804817661 1.659068846933 3 7 6 4 0132 1302 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.021704013200 0.535223980193 5 4 7 8 2310 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.876123767340 0.739721179963 8 5 4 12 0321 0321 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 1.184392496485 0.714139249114 5 7 6 11 0132 0132 0213 0213 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 0 15 -14 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184392496485 0.714139249114 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_2'], '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' : negation(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' : negation(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' : negation(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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : d['c_1001_3'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1001_7'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1001_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : d['c_1001_1'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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_8']), 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0011_8'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_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_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_2, c_1001_3, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2781896418623608685152357/764738716008736*c_1001_7^13 - 9919717795584329061622583/382369358004368*c_1001_7^12 + 6997385144607906799992469/191184679002184*c_1001_7^11 + 184507322644294049941732559/764738716008736*c_1001_7^10 - 25131032652882096969092597/95592339501092*c_1001_7^9 - 18474608120539348060504646/23898084875273*c_1001_7^8 + 1054378453692804672938267373/382369358004368*c_1001_7^7 - 3686642237244802569187212167/764738716008736*c_1001_7^6 + 148689406201331010420961245/27312097000312*c_1001_7^5 - 826235415698328673011036505/191184679002184*c_1001_7^4 + 236332546448910422446165149/95592339501092*c_1001_7^3 - 722028227165343899427782565/764738716008736*c_1001_7^2 + 177590627504525724217347323/764738716008736*c_1001_7 - 94354496636197595232473/3414012125039, c_0011_0 - 1, c_0011_10 - 518882347/1210830448*c_1001_7^13 - 3745659527/1210830448*c_1001_7^12 + 2438834863/605415224*c_1001_7^11 + 34701852137/1210830448*c_1001_7^10 - 34481630909/1210830448*c_1001_7^9 - 28093201597/302707612*c_1001_7^8 + 191739918643/605415224*c_1001_7^7 - 655707579699/1210830448*c_1001_7^6 + 729513803785/1210830448*c_1001_7^5 - 71661044087/151353806*c_1001_7^4 + 80941523435/302707612*c_1001_7^3 - 122584027051/1210830448*c_1001_7^2 + 7326954143/302707612*c_1001_7 - 2364506413/1210830448, c_0011_11 - 259720397/1210830448*c_1001_7^13 - 1819866123/1210830448*c_1001_7^12 + 729604633/302707612*c_1001_7^11 + 17470248483/1210830448*c_1001_7^10 - 21402814511/1210830448*c_1001_7^9 - 7288471585/151353806*c_1001_7^8 + 103262496697/605415224*c_1001_7^7 - 348857194053/1210830448*c_1001_7^6 + 384245708377/1210830448*c_1001_7^5 - 146516117851/605415224*c_1001_7^4 + 39387610777/302707612*c_1001_7^3 - 55549400819/1210830448*c_1001_7^2 + 701298066/75676903*c_1001_7 - 478489123/1210830448, c_0011_3 - 518882347/1210830448*c_1001_7^13 - 3745659527/1210830448*c_1001_7^12 + 2438834863/605415224*c_1001_7^11 + 34701852137/1210830448*c_1001_7^10 - 34481630909/1210830448*c_1001_7^9 - 28093201597/302707612*c_1001_7^8 + 191739918643/605415224*c_1001_7^7 - 655707579699/1210830448*c_1001_7^6 + 729513803785/1210830448*c_1001_7^5 - 71661044087/151353806*c_1001_7^4 + 80941523435/302707612*c_1001_7^3 - 122584027051/1210830448*c_1001_7^2 + 7326954143/302707612*c_1001_7 - 2364506413/1210830448, c_0011_8 + 49336005/605415224*c_1001_7^13 + 43364413/75676903*c_1001_7^12 - 482301719/605415224*c_1001_7^11 - 707795917/151353806*c_1001_7^10 + 1845668557/302707612*c_1001_7^9 + 3252412555/302707612*c_1001_7^8 - 18845301911/302707612*c_1001_7^7 + 82022543553/605415224*c_1001_7^6 - 53995471975/302707612*c_1001_7^5 + 102304214185/605415224*c_1001_7^4 - 67872089063/605415224*c_1001_7^3 + 28920860427/605415224*c_1001_7^2 - 947070957/75676903*c_1001_7 + 11227141/75676903, c_0101_0 + 241777459/1210830448*c_1001_7^13 + 457014519/302707612*c_1001_7^12 - 96260017/75676903*c_1001_7^11 - 15860945825/1210830448*c_1001_7^10 + 5046991875/605415224*c_1001_7^9 + 12024793851/302707612*c_1001_7^8 - 79752234357/605415224*c_1001_7^7 + 277977770301/1210830448*c_1001_7^6 - 154302626845/605415224*c_1001_7^5 + 31375447419/151353806*c_1001_7^4 - 9123374172/75676903*c_1001_7^3 + 57270706779/1210830448*c_1001_7^2 - 15817166947/1210830448*c_1001_7 + 564360991/605415224, c_0101_1 - 241777459/1210830448*c_1001_7^13 - 457014519/302707612*c_1001_7^12 + 96260017/75676903*c_1001_7^11 + 15860945825/1210830448*c_1001_7^10 - 5046991875/605415224*c_1001_7^9 - 12024793851/302707612*c_1001_7^8 + 79752234357/605415224*c_1001_7^7 - 277977770301/1210830448*c_1001_7^6 + 154302626845/605415224*c_1001_7^5 - 31375447419/151353806*c_1001_7^4 + 9123374172/75676903*c_1001_7^3 - 57270706779/1210830448*c_1001_7^2 + 14606336499/1210830448*c_1001_7 + 41054233/605415224, c_0101_10 - 603894365/1210830448*c_1001_7^13 - 2151464373/605415224*c_1001_7^12 + 3038083035/605415224*c_1001_7^11 + 39776900891/1210830448*c_1001_7^10 - 21992375113/605415224*c_1001_7^9 - 15766586691/151353806*c_1001_7^8 + 229905450113/605415224*c_1001_7^7 - 809263123303/1210830448*c_1001_7^6 + 229691773557/302707612*c_1001_7^5 - 367408056967/605415224*c_1001_7^4 + 105150166483/302707612*c_1001_7^3 - 161227736371/1210830448*c_1001_7^2 + 39926357373/1210830448*c_1001_7 - 1670636661/605415224, c_0101_11 - 607020903/1210830448*c_1001_7^13 - 2211858709/605415224*c_1001_7^12 + 1331213189/302707612*c_1001_7^11 + 40386659473/1210830448*c_1001_7^10 - 2310248901/75676903*c_1001_7^9 - 8019230359/75676903*c_1001_7^8 + 218186713685/605415224*c_1001_7^7 - 758162164113/1210830448*c_1001_7^6 + 212704849927/302707612*c_1001_7^5 - 85195217021/151353806*c_1001_7^4 + 49649434571/151353806*c_1001_7^3 - 155744458039/1210830448*c_1001_7^2 + 40114644829/1210830448*c_1001_7 - 859986333/302707612, c_1001_1 + 466036225/1210830448*c_1001_7^13 + 3359915017/1210830448*c_1001_7^12 - 2139663723/605415224*c_1001_7^11 - 30090870817/1210830448*c_1001_7^10 + 30553232485/1210830448*c_1001_7^9 + 22657697175/302707612*c_1001_7^8 - 171086081217/605415224*c_1001_7^7 + 629690821961/1210830448*c_1001_7^6 - 738126322415/1210830448*c_1001_7^5 + 38391477702/75676903*c_1001_7^4 - 183585133017/605415224*c_1001_7^3 + 144618567875/1210830448*c_1001_7^2 - 8826794869/302707612*c_1001_7 + 2897226437/1210830448, c_1001_2 + 464865001/1210830448*c_1001_7^13 + 3353038015/1210830448*c_1001_7^12 - 2144504709/605415224*c_1001_7^11 - 30192066669/1210830448*c_1001_7^10 + 31303202291/1210830448*c_1001_7^9 + 23298087615/302707612*c_1001_7^8 - 174032937175/605415224*c_1001_7^7 + 613841105409/1210830448*c_1001_7^6 - 694378395317/1210830448*c_1001_7^5 + 139613097943/302707612*c_1001_7^4 - 159029297573/605415224*c_1001_7^3 + 120594093651/1210830448*c_1001_7^2 - 14347464781/605415224*c_1001_7 + 1830298647/1210830448, c_1001_3 + 475181071/1210830448*c_1001_7^13 + 854947661/302707612*c_1001_7^12 - 555937553/151353806*c_1001_7^11 - 30902292265/1210830448*c_1001_7^10 + 16050910999/605415224*c_1001_7^9 + 23760288365/302707612*c_1001_7^8 - 177083469471/605415224*c_1001_7^7 + 634403605021/1210830448*c_1001_7^6 - 362711741065/605415224*c_1001_7^5 + 147251847497/302707612*c_1001_7^4 - 42738104435/151353806*c_1001_7^3 + 132210198863/1210830448*c_1001_7^2 - 33055208707/1210830448*c_1001_7 + 1394442329/605415224, c_1001_7^14 + 7*c_1001_7^13 - 11*c_1001_7^12 - 65*c_1001_7^11 + 81*c_1001_7^10 + 203*c_1001_7^9 - 786*c_1001_7^8 + 1425*c_1001_7^7 - 1671*c_1001_7^6 + 1385*c_1001_7^5 - 836*c_1001_7^4 + 349*c_1001_7^3 - 98*c_1001_7^2 + 16*c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.440 Total time: 3.649 seconds, Total memory usage: 84.12MB