Magma V2.19-8 Tue Aug 20 2013 23:50:42 on localhost [Seed = 3431639030] Type ? for help. Type -D to quit. Loading file "L12n703__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n703 geometric_solution 11.25075650 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 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 0 -1 1 1 0 -1 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601168677388 0.799122156699 0 2 6 5 0132 0321 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 0 0 0 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575406524128 0.643631714823 7 0 8 1 0132 0132 0132 0321 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -1 -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 1.225964954622 1.136038466815 4 9 10 0 3120 0132 0132 0132 0 1 1 0 0 0 -1 1 0 0 0 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 -1 1 0 0 -1 1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438851875079 0.406661389010 5 11 0 3 0132 0132 0132 3120 0 1 1 1 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 -1 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 0.771990456789 0.863524344433 4 9 1 8 0132 0213 0132 0321 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 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 0.601168677388 0.799122156699 8 7 9 1 0321 0321 2103 0132 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116112261042 0.937889949307 2 10 10 6 0132 2031 0321 0321 0 1 1 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 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.536408343828 6 5 11 2 0321 0321 1302 0132 0 1 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 -1 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 0.399358688969 0.491238233981 6 3 5 11 2103 0132 0213 0213 0 1 0 1 0 0 0 0 0 0 0 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.996398035198 1.225637064307 7 11 7 3 1302 0213 0321 0132 0 1 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 -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 0.929827912034 0.997534900678 8 4 10 9 2031 0132 0213 0213 0 0 1 1 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 0 0 -1 1 0 0 0 0 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 0.130007514335 1.050128039314 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0110_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_0']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : negation(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_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_11'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0110_11'], 'c_1100_1' : d['c_0110_11'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0101_3']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['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' : 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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], '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_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_11']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : negation(d['c_0011_8']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_3, c_0110_11, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1944579544980/22901027929*c_1001_3^7 - 48732714885780/22901027929*c_1001_3^6 - 438460608473155/22901027929*c_1001_3^5 - 16023907518405/22901027929*c_1001_3^4 + 10400999500959/135509041*c_1001_3^3 - 1538541721852880/22901027929*c_1001_3^2 + 275524104530036/22901027929*c_1001_3 + 36711119908815/22901027929, c_0011_0 - 1, c_0011_10 + 2962144849/22901027929*c_1001_3^7 - 74011601059/22901027929*c_1001_3^6 - 673220494508/22901027929*c_1001_3^5 - 80473148952/22901027929*c_1001_3^4 + 15480694934/135509041*c_1001_3^3 - 2181998971173/22901027929*c_1001_3^2 + 454439974504/22901027929*c_1001_3 + 18740227378/22901027929, c_0011_11 - 25702343207/22901027929*c_1001_3^7 + 645730249901/22901027929*c_1001_3^6 + 5755514851279/22901027929*c_1001_3^5 - 163489895509/22901027929*c_1001_3^4 - 138305429529/135509041*c_1001_3^3 + 21675808617852/22901027929*c_1001_3^2 - 4542309496745/22901027929*c_1001_3 - 342228927940/22901027929, c_0011_3 + 1940939746/22901027929*c_1001_3^7 - 48763982141/22901027929*c_1001_3^6 - 434466415905/22901027929*c_1001_3^5 + 9110307162/22901027929*c_1001_3^4 + 10236089920/135509041*c_1001_3^3 - 1672077589391/22901027929*c_1001_3^2 + 431547897475/22901027929*c_1001_3 + 9415317181/22901027929, c_0011_6 + 3478667373/22901027929*c_1001_3^7 - 87190545527/22901027929*c_1001_3^6 - 784067232829/22901027929*c_1001_3^5 - 25548401930/22901027929*c_1001_3^4 + 18624190611/135509041*c_1001_3^3 - 2767580558007/22901027929*c_1001_3^2 + 461574910866/22901027929*c_1001_3 + 67294428303/22901027929, c_0011_8 - 20473618462/22901027929*c_1001_3^7 + 513901039354/22901027929*c_1001_3^6 + 4596022010717/22901027929*c_1001_3^5 - 17827137213/22901027929*c_1001_3^4 - 109714957903/135509041*c_1001_3^3 + 16894979929760/22901027929*c_1001_3^2 - 3487082399562/22901027929*c_1001_3 - 231696112332/22901027929, c_0101_0 - 19707956092/22901027929*c_1001_3^7 + 492735712401/22901027929*c_1001_3^6 + 4471931752033/22901027929*c_1001_3^5 + 446156304470/22901027929*c_1001_3^4 - 104101156957/135509041*c_1001_3^3 + 14655824799417/22901027929*c_1001_3^2 - 2627792166872/22901027929*c_1001_3 - 200975707061/22901027929, c_0101_3 - 1922772148/22901027929*c_1001_3^7 + 47769839820/22901027929*c_1001_3^6 + 443727829734/22901027929*c_1001_3^5 + 115906190645/22901027929*c_1001_3^4 - 9918218636/135509041*c_1001_3^3 + 1170305325745/22901027929*c_1001_\ 3^2 - 153813055924/22901027929*c_1001_3 - 7591519113/22901027929, c_0110_11 + 5228724745/22901027929*c_1001_3^7 - 131829210547/22901027929*c_1001_3^6 - 1159492840562/22901027929*c_1001_3^5 + 145662758296/22901027929*c_1001_3^4 + 28590471626/135509041*c_1001_3^3 - 4780828688092/22901027929*c_1001_3^2 + 1055227097183/22901027929*c_1001_3 + 87631787679/22901027929, c_1001_0 - 1, c_1001_2 - 495447094/1761617533*c_1001_3^7 + 12400165122/1761617533*c_1001_3^6 + 112099055949/1761617533*c_1001_3^5 + 8155503914/1761617533*c_1001_3^4 - 34104885545/135509041*c_1001_3^3 + 380736886860/1761617533*c_1001_3^2 - 70462683490/1761617533*c_1001_3 - 6618050437/1761617533, c_1001_3^8 - 25*c_1001_3^7 - 227*c_1001_3^6 - 22*c_1001_3^5 + 903*c_1001_3^4 - 736*c_1001_3^3 + 96*c_1001_3^2 + 26*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB