Magma V2.19-8 Tue Aug 20 2013 23:53:14 on localhost [Seed = 3734549814] Type ? for help. Type -D to quit. Loading file "L13n4912__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4912 geometric_solution 11.19646064 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 2031 0132 1 1 0 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 1 0 -1 -1 0 -4 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.016734904438 0.818506110038 0 4 2 0 0132 0132 2031 1302 1 1 1 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 -4 0 4 1 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 0 0.403220261539 0.480427946503 3 0 4 1 0213 0132 3201 1302 1 0 1 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 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 0.874664955544 0.573419328526 2 5 0 6 0213 0132 0132 0132 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 0 0 0 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545290210434 0.725514728015 2 1 5 6 2310 0132 1230 1230 1 0 0 1 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 0 0 0 0 0 4 -4 0 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 0.620228566185 0.989609130543 7 3 8 4 0132 0132 0132 3012 1 1 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 0 0 -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 0 0 0 0.711092555341 0.537391743170 4 9 3 10 3012 0132 0132 0132 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 0 0 0 1 -1 0 0 -5 5 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711092555341 0.537391743170 5 11 10 11 0132 0132 2103 1023 1 1 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 0 4 0 -5 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 0.869830195073 0.638511290841 10 9 10 5 1230 0321 0132 0132 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 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 0.595838049816 0.736156491079 11 6 11 8 0132 0132 1023 0321 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 -1 1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.869830195073 0.638511290841 7 8 6 8 2103 3012 0132 0132 1 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 0 0 0 0 0 -1 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595838049816 0.736156491079 9 7 9 7 0132 0132 1023 1023 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 1 -1 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 0.670731699331 0.378942846712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : negation(d['c_0101_8']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_8']), 'c_1100_8' : negation(d['c_1001_4']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_8'], 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : 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' : 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_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_9'], 'c_0110_10' : d['c_0101_8'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10']})} 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_8, c_0101_0, c_0101_10, c_0101_4, c_0101_6, c_0101_8, c_0101_9, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 270214242236030587/39698224905584*c_1001_5^15 + 15323214866290698/354448436657*c_1001_5^14 + 5101506222595505173/39698224905584*c_1001_5^13 + 5235540272780130479/19849112452792*c_1001_5^12 + 4381370991308394577/9924556226396*c_1001_5^11 + 14580573625797118167/19849112452792*c_1001_5^10 + 50524688912670164161/39698224905584*c_1001_5^9 + 68819231099059033849/39698224905584*c_1001_5^8 + 21870532077716831807/9924556226396*c_1001_5^7 + 43766349298550598403/19849112452792*c_1001_5^6 + 72635767592027380931/39698224905584*c_1001_5^5 + 56091505529683623789/39698224905584*c_1001_5^4 + 37642760111250071139/39698224905584*c_1001_5^3 + 11160810397099167065/19849112452792*c_1001_5^2 + 2728957965044047123/9924556226396*c_1001_5 + 2914449458220179995/39698224905584, c_0011_0 - 1, c_0011_10 + 215060658871/202541963804*c_1001_5^15 + 338805199569/50635490951*c_1001_5^14 + 4003055495337/202541963804*c_1001_5^13 + 4103120611973/101270981902*c_1001_5^12 + 3439843911073/50635490951*c_1001_5^11 + 11475132287425/101270981902*c_1001_5^10 + 39731835127369/202541963804*c_1001_5^9 + 53855215319677/202541963804*c_1001_5^8 + 17212452106803/50635490951*c_1001_5^7 + 34440241756051/101270981902*c_1001_5^6 + 57208142685327/202541963804*c_1001_5^5 + 44608733505353/202541963804*c_1001_5^4 + 29629124599755/202541963804*c_1001_5^3 + 8799406334207/101270981902*c_1001_5^2 + 2234185779078/50635490951*c_1001_5 + 2329592674895/202541963804, c_0011_11 - 8087638657/101270981902*c_1001_5^15 - 25346043501/50635490951*c_1001_5^14 - 137858885857/101270981902*c_1001_5^13 - 122282038894/50635490951*c_1001_5^12 - 182312926085/50635490951*c_1001_5^11 - 301322512649/50635490951*c_1001_5^10 - 1108155886907/101270981902*c_1001_5^9 - 1355821009375/101270981902*c_1001_5^8 - 701673699385/50635490951*c_1001_5^7 - 673509547484/50635490951*c_1001_5^6 - 628614733645/101270981902*c_1001_5^5 - 668074219621/101270981902*c_1001_5^4 - 426486156375/101270981902*c_1001_5^3 - 96367480310/50635490951*c_1001_5^2 - 61156819993/50635490951*c_1001_5 - 59371220037/101270981902, c_0011_8 - 215060658871/202541963804*c_1001_5^15 - 338805199569/50635490951*c_1001_5^14 - 4003055495337/202541963804*c_1001_5^13 - 4103120611973/101270981902*c_1001_5^12 - 3439843911073/50635490951*c_1001_5^11 - 11475132287425/101270981902*c_1001_5^10 - 39731835127369/202541963804*c_1001_5^9 - 53855215319677/202541963804*c_1001_5^8 - 17212452106803/50635490951*c_1001_5^7 - 34440241756051/101270981902*c_1001_5^6 - 57208142685327/202541963804*c_1001_5^5 - 44608733505353/202541963804*c_1001_5^4 - 29629124599755/202541963804*c_1001_5^3 - 8799406334207/101270981902*c_1001_5^2 - 2234185779078/50635490951*c_1001_5 - 2329592674895/202541963804, c_0101_0 - 1, c_0101_10 - c_1001_5, c_0101_4 - 226903426065/202541963804*c_1001_5^15 - 362883601196/50635490951*c_1001_5^14 - 4338866482775/202541963804*c_1001_5^13 - 4466382238933/101270981902*c_1001_5^12 - 3745094297699/50635490951*c_1001_5^11 - 12445499535367/101270981902*c_1001_5^10 - 43102097378683/202541963804*c_1001_5^9 - 58958231128683/202541963804*c_1001_5^8 - 18698342080738/50635490951*c_1001_5^7 - 37685605939109/101270981902*c_1001_5^6 - 62050950180033/202541963804*c_1001_5^5 - 48187787176639/202541963804*c_1001_5^4 - 32041977653837/202541963804*c_1001_5^3 - 9437330727979/101270981902*c_1001_5^2 - 2354121484214/50635490951*c_1001_5 - 2442819616093/202541963804, c_0101_6 + 226903426065/202541963804*c_1001_5^15 + 362883601196/50635490951*c_1001_5^14 + 4338866482775/202541963804*c_1001_5^13 + 4466382238933/101270981902*c_1001_5^12 + 3745094297699/50635490951*c_1001_5^11 + 12445499535367/101270981902*c_1001_5^10 + 43102097378683/202541963804*c_1001_5^9 + 58958231128683/202541963804*c_1001_5^8 + 18698342080738/50635490951*c_1001_5^7 + 37685605939109/101270981902*c_1001_5^6 + 62050950180033/202541963804*c_1001_5^5 + 48187787176639/202541963804*c_1001_5^4 + 32041977653837/202541963804*c_1001_5^3 + 9437330727979/101270981902*c_1001_5^2 + 2354121484214/50635490951*c_1001_5 + 2442819616093/202541963804, c_0101_8 - 5023398212/50635490951*c_1001_5^15 + 2848774185/50635490951*c_1001_5^14 + 102835130914/50635490951*c_1001_5^13 + 327897699993/50635490951*c_1001_5^12 + 659291703012/50635490951*c_1001_5^11 + 1014702081751/50635490951*c_1001_5^10 + 1690804584761/50635490951*c_1001_5^9 + 3334879882093/50635490951*c_1001_5^8 + 3939063074560/50635490951*c_1001_5^7 + 5544003880955/50635490951*c_1001_5^6 + 4636856707785/50635490951*c_1001_5^5 + 3688584813056/50635490951*c_1001_5^4 + 2854313333492/50635490951*c_1001_5^3 + 1650662998515/50635490951*c_1001_5^2 + 1078602280393/50635490951*c_1001_5 + 355960582694/50635490951, c_0101_9 + 99576294121/50635490951*c_1001_5^15 + 634388825277/50635490951*c_1001_5^14 + 1885382374353/50635490951*c_1001_5^13 + 3853301548500/50635490951*c_1001_5^12 + 6417020908187/50635490951*c_1001_5^11 + 10651554287610/50635490951*c_1001_5^10 + 18484246699730/50635490951*c_1001_5^9 + 25155470812521/50635490951*c_1001_5^8 + 31727476029709/50635490951*c_1001_5^7 + 31623470721436/50635490951*c_1001_5^6 + 25890615710074/50635490951*c_1001_5^5 + 19867122475255/50635490951*c_1001_5^4 + 13359678181906/50635490951*c_1001_5^3 + 7849753424623/50635490951*c_1001_5^2 + 3793005152760/50635490951*c_1001_5 + 940065430951/50635490951, c_1001_4 + 226903426065/202541963804*c_1001_5^15 + 362883601196/50635490951*c_1001_5^14 + 4338866482775/202541963804*c_1001_5^13 + 4466382238933/101270981902*c_1001_5^12 + 3745094297699/50635490951*c_1001_5^11 + 12445499535367/101270981902*c_1001_5^10 + 43102097378683/202541963804*c_1001_5^9 + 58958231128683/202541963804*c_1001_5^8 + 18698342080738/50635490951*c_1001_5^7 + 37685605939109/101270981902*c_1001_5^6 + 62050950180033/202541963804*c_1001_5^5 + 48187787176639/202541963804*c_1001_5^4 + 32041977653837/202541963804*c_1001_5^3 + 9437330727979/101270981902*c_1001_5^2 + 2354121484214/50635490951*c_1001_5 + 2240277652289/202541963804, c_1001_5^16 + 7*c_1001_5^15 + 23*c_1001_5^14 + 51*c_1001_5^13 + 90*c_1001_5^12 + 150*c_1001_5^11 + 257*c_1001_5^10 + 376*c_1001_5^9 + 489*c_1001_5^8 + 534*c_1001_5^7 + 479*c_1001_5^6 + 382*c_1001_5^5 + 274*c_1001_5^4 + 173*c_1001_5^3 + 94*c_1001_5^2 + 37*c_1001_5 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB