Magma V2.19-8 Wed Aug 21 2013 00:55:17 on localhost [Seed = 4223525261] Type ? for help. Type -D to quit. Loading file "L13a3624__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a3624 geometric_solution 11.24998441 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 0 1 1 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 -1 0 0 0 0 0 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459515518195 0.690187754299 0 4 6 5 0132 0132 0132 0132 0 1 1 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 0 0 0 0 0 0 3 -3 0 -1 0 1 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 0.703313873194 0.898117594581 0 0 8 7 2031 0132 0132 0132 0 0 1 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 0 0 0 0 1 0 -1 0 0 0 0 -5 4 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331627059669 1.003889532465 9 10 0 9 0132 0132 0132 0213 0 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 -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 0.727697515286 1.191416372299 5 1 5 11 0213 0132 0132 0132 0 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 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106175973877 1.057864791723 4 11 1 4 0213 2031 0132 0132 0 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 -1 0 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 -0.278274047390 0.679622297101 9 10 11 1 2310 1230 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 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 -0.120374403291 0.672996472695 8 10 2 8 1302 1302 0132 3012 0 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 3 1 -4 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 -0.278274047390 0.679622297101 12 7 7 2 0132 2031 1230 0132 0 0 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 0 0 0 0 0 0 0 0 -1 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527820693386 0.451557325094 3 12 6 3 0132 1230 3201 0213 0 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 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 -1.057864791723 1.106175973877 12 3 6 7 1230 0132 3012 2031 0 0 1 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 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281224168412 1.059672293977 5 12 4 6 1302 2310 0132 0132 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 0 0 0 0 0 0 4 -4 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 0 0 0 0.703313873194 0.898117594581 8 10 9 11 0132 3012 3012 3201 1 0 0 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 0 0 0 0 0 -1 1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.835077027829 0.349446896625 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : 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' : negation(d['c_0011_5']), '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' : negation(d['1']), 's_2_5' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0110_7'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_12'], 'c_1100_3' : d['c_0101_12'], 'c_1100_2' : d['c_0110_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_7'], 'c_1100_8' : d['c_0110_7'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_0011_11']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_12'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0101_1']), '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_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : negation(d['c_0011_6']), 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0011_12'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0110_7'], '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_12, c_0011_5, c_0011_6, c_0011_7, c_0101_1, c_0101_10, c_0101_12, c_0101_8, c_0110_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 79040472409578687/514454376475793*c_1100_1^9 - 865811783362884326/1543363129427379*c_1100_1^8 - 3621162637380183536/1543363129427379*c_1100_1^7 + 12488871692604350365/1543363129427379*c_1100_1^6 + 14307689626861600195/1543363129427379*c_1100_1^5 - 1282050898905392476/39573413575061*c_1100_1^4 + 325611975268987154/39573413575061*c_1100_1^3 - 6575825655602444567/1543363129427379*c_1100_1^2 - 573526357083270749/118720240725183*c_1100_1 - 8779539208230462559/1543363129427379, c_0011_0 - 1, c_0011_10 - 144004978/4316942683*c_1100_1^9 + 626610188/4316942683*c_1100_1^8 + 1938489228/4316942683*c_1100_1^7 - 9244110203/4316942683*c_1100_1^6 - 5352393882/4316942683*c_1100_1^5 + 37144417531/4316942683*c_1100_1^4 - 19642413334/4316942683*c_1100_1^3 + 7989134813/4316942683*c_1100_1^2 - 2620063004/4316942683*c_1100_1 + 4171536327/4316942683, c_0011_11 - 25776642/4316942683*c_1100_1^9 + 74570843/4316942683*c_1100_1^8 + 397873060/4316942683*c_1100_1^7 - 993519533/4316942683*c_1100_1^6 - 1310313598/4316942683*c_1100_1^5 + 3963583584/4316942683*c_1100_1^4 - 3684223026/4316942683*c_1100_1^3 - 106748667/4316942683*c_1100_1^2 + 3136788797/4316942683*c_1100_1 + 292544676/4316942683, c_0011_12 - 1, c_0011_5 + 22054551/4316942683*c_1100_1^9 - 40580392/4316942683*c_1100_1^8 - 390295776/4316942683*c_1100_1^7 + 468120560/4316942683*c_1100_1^6 + 1718665275/4316942683*c_1100_1^5 - 1764370620/4316942683*c_1100_1^4 + 72431626/4316942683*c_1100_1^3 + 1098472836/4316942683*c_1100_1^2 + 49758883/4316942683*c_1100_1 - 2109781623/4316942683, c_0011_6 + 100718724/4316942683*c_1100_1^9 - 229038562/4316942683*c_1100_1^8 - 1896044698/4316942683*c_1100_1^7 + 3024543786/4316942683*c_1100_1^6 + 10835937769/4316942683*c_1100_1^5 - 12029323729/4316942683*c_1100_1^4 - 14178408621/4316942683*c_1100_1^3 + 1702528985/4316942683*c_1100_1^2 - 1206051493/4316942683*c_1100_1 - 1177614233/4316942683, c_0011_7 + 15573377/4316942683*c_1100_1^9 - 44160712/4316942683*c_1100_1^8 - 279065849/4316942683*c_1100_1^7 + 708546486/4316942683*c_1100_1^6 + 1420733190/4316942683*c_1100_1^5 - 3939330732/4316942683*c_1100_1^4 - 1147610947/4316942683*c_1100_1^3 + 4766648345/4316942683*c_1100_1^2 - 278130250/4316942683*c_1100_1 + 4749418466/4316942683, c_0101_1 + 12962348/4316942683*c_1100_1^9 + 7160640/4316942683*c_1100_1^8 - 222459854/4316942683*c_1100_1^7 - 480851852/4316942683*c_1100_1^6 + 595864170/4316942683*c_1100_1^5 + 4349920224/4316942683*c_1100_1^4 + 2440085146/4316942683*c_1100_1^3 - 11653293701/4316942683*c_1100_1^2 + 655778266/4316942683*c_1100_1 - 767572129/4316942683, c_0101_10 - 43909438/4316942683*c_1100_1^9 + 135609414/4316942683*c_1100_1^8 + 592582440/4316942683*c_1100_1^7 - 1760170889/4316942683*c_1100_1^6 - 984006330/4316942683*c_1100_1^5 + 7089013410/4316942683*c_1100_1^4 - 9167246713/4316942683*c_1100_1^3 - 171232711/4316942683*c_1100_1^2 - 6334480154/4316942683*c_1100_1 + 494998577/4316942683, c_0101_12 + 28535725/4316942683*c_1100_1^9 - 37000072/4316942683*c_1100_1^8 - 501525703/4316942683*c_1100_1^7 + 227694634/4316942683*c_1100_1^6 + 2016597360/4316942683*c_1100_1^5 + 410589492/4316942683*c_1100_1^4 + 1292474199/4316942683*c_1100_1^3 - 6886645356/4316942683*c_1100_1^2 + 377648016/4316942683*c_1100_1 + 3981846337/4316942683, c_0101_8 + 4080764/4316942683*c_1100_1^9 - 103310476/4316942683*c_1100_1^8 + 5984963/4316942683*c_1100_1^7 + 1796431186/4316942683*c_1100_1^6 + 339354344/4316942683*c_1100_1^5 - 7119489327/4316942683*c_1100_1^4 - 2046203607/4316942683*c_1100_1^3 - 5103542118/4316942683*c_1100_1^2 - 547129045/4316942683*c_1100_1 + 668202131/4316942683, c_0110_7 + 12962348/4316942683*c_1100_1^9 + 7160640/4316942683*c_1100_1^8 - 222459854/4316942683*c_1100_1^7 - 480851852/4316942683*c_1100_1^6 + 595864170/4316942683*c_1100_1^5 + 4349920224/4316942683*c_1100_1^4 + 2440085146/4316942683*c_1100_1^3 - 11653293701/4316942683*c_1100_1^2 + 655778266/4316942683*c_1100_1 - 767572129/4316942683, c_1100_1^10 - 4*c_1100_1^9 - 14*c_1100_1^8 + 58*c_1100_1^7 + 42*c_1100_1^6 - 232*c_1100_1^5 + 127*c_1100_1^4 - 46*c_1100_1^3 - 22*c_1100_1^2 - 26*c_1100_1 + 13 ], 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_12, c_0011_5, c_0011_6, c_0011_7, c_0101_1, c_0101_10, c_0101_12, c_0101_8, c_0110_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1250157841/194012000*c_1100_1^11 + 265987/932750*c_1100_1^10 - 3969257769/97006000*c_1100_1^9 + 24435153/7462000*c_1100_1^8 - 12349702901/97006000*c_1100_1^7 + 106771137/7462000*c_1100_1^6 - 44419138331/194012000*c_1100_1^5 + 263352961/7462000*c_1100_1^4 - 22599439921/97006000*c_1100_1^3 + 191044001/3731000*c_1100_1^2 - 840735089/7760480*c_1100_1 + 5070735641/97006000, c_0011_0 - 1, c_0011_10 - c_1100_1^6 - 3*c_1100_1^4 - 5*c_1100_1^2 - 3, c_0011_11 + 1/70*c_1100_1^11 + 29/70*c_1100_1^10 + 4/35*c_1100_1^9 + 81/35*c_1100_1^8 + 16/35*c_1100_1^7 + 219/35*c_1100_1^6 + 81/70*c_1100_1^5 + 669/70*c_1100_1^4 + 71/35*c_1100_1^3 + 274/35*c_1100_1^2 + 23/14*c_1100_1 + 183/70, c_0011_12 - 1, c_0011_5 + 41/140*c_1100_1^11 - 1/140*c_1100_1^10 + 47/35*c_1100_1^9 - 2/35*c_1100_1^8 + 118/35*c_1100_1^7 - 8/35*c_1100_1^6 + 661/140*c_1100_1^5 - 81/140*c_1100_1^4 + 251/70*c_1100_1^3 - 71/70*c_1100_1^2 + 33/28*c_1100_1 - 127/140, c_0011_6 - 1/14*c_1100_1^11 - 1/14*c_1100_1^10 - 4/7*c_1100_1^9 - 4/7*c_1100_1^8 - 16/7*c_1100_1^7 - 16/7*c_1100_1^6 - 67/14*c_1100_1^5 - 67/14*c_1100_1^4 - 36/7*c_1100_1^3 - 36/7*c_1100_1^2 - 31/14*c_1100_1 - 29/14, c_0011_7 + 29/70*c_1100_1^11 + 1/70*c_1100_1^10 + 81/35*c_1100_1^9 + 4/35*c_1100_1^8 + 219/35*c_1100_1^7 + 16/35*c_1100_1^6 + 669/70*c_1100_1^5 + 81/70*c_1100_1^4 + 274/35*c_1100_1^3 + 36/35*c_1100_1^2 + 37/14*c_1100_1 - 13/70, c_0101_1 + c_1100_1^2 + 1, c_0101_10 + 1/35*c_1100_1^11 - 6/35*c_1100_1^10 + 8/35*c_1100_1^9 - 48/35*c_1100_1^8 + 32/35*c_1100_1^7 - 157/35*c_1100_1^6 + 81/35*c_1100_1^5 - 276/35*c_1100_1^4 + 107/35*c_1100_1^3 - 257/35*c_1100_1^2 + 9/7*c_1100_1 - 97/35, c_0101_12 + 29/70*c_1100_1^11 + 1/70*c_1100_1^10 + 81/35*c_1100_1^9 + 4/35*c_1100_1^8 + 219/35*c_1100_1^7 + 16/35*c_1100_1^6 + 669/70*c_1100_1^5 + 81/70*c_1100_1^4 + 274/35*c_1100_1^3 + 71/35*c_1100_1^2 + 37/14*c_1100_1 + 57/70, c_0101_8 - 6/35*c_1100_1^11 + 1/35*c_1100_1^10 - 48/35*c_1100_1^9 + 8/35*c_1100_1^8 - 157/35*c_1100_1^7 + 32/35*c_1100_1^6 - 276/35*c_1100_1^5 + 46/35*c_1100_1^4 - 257/35*c_1100_1^3 + 2/35*c_1100_1^2 - 19/7*c_1100_1 - 48/35, c_0110_7 + c_1100_1^2 + 1, c_1100_1^12 + 7*c_1100_1^10 + 24*c_1100_1^8 + 49*c_1100_1^6 + 61*c_1100_1^4 + 43*c_1100_1^2 - 2*c_1100_1 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB