Magma V2.19-8 Wed Aug 21 2013 00:51:08 on localhost [Seed = 2799743910] Type ? for help. Type -D to quit. Loading file "L11a129__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a129 geometric_solution 11.73921378 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 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 0.625946449803 1.252595691287 0 4 4 0 0132 0132 1230 2031 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 0 0 0 0 0 0 0 0 0 0 0 -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 0.218884029657 0.732978452674 5 6 7 0 0132 0132 0132 0132 1 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 0 0 0 0 0 1 0 -1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124414641133 1.074985422096 8 9 0 8 0132 0132 0132 1023 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 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 -0.022798822370 0.371972088158 9 1 9 1 3201 0132 0321 3012 1 1 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 0 0 0 0 0 0 0 0 1 -1 0 -4 0 5 -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 0.680770666072 0.638817087845 2 10 6 10 0132 0132 1023 0213 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 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 0.446880050524 0.458974689710 11 2 5 11 0132 0132 1023 2103 1 0 1 1 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 1 0 -1 -1 0 1 0 1 -5 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.911003641593 1.118469632083 12 8 8 2 0132 0132 1023 0132 1 1 1 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 0 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203901810658 0.634963249330 3 7 7 3 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.795582269129 1.956083746781 12 3 4 4 1023 0132 0321 2310 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 0 1 -4 0 0 4 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625946449803 1.252595691287 12 5 11 5 2310 0132 1023 0213 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 -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 0.446880050524 0.458974689710 6 12 10 6 0132 2310 1023 2103 1 0 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 4 0 -4 1 0 -1 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 0.911003641593 1.118469632083 7 9 10 11 0132 1023 3201 3201 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 1 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 4 0 -4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.124414641133 1.074985422096 ==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' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : negation(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' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_6']), 'c_1100_1' : d['c_0110_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : negation(d['c_0110_4']), 'c_1010_8' : d['c_0101_8'], 'c_1100_8' : negation(d['c_1100_0']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_12'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_12']), 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], '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_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_11']})} 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_12, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_6, c_0101_7, c_0101_8, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 10043843570554/218919989280969*c_1100_0^7 + 7364662238912/218919989280969*c_1100_0^6 - 80616404452334/218919989280969*c_1100_0^5 + 126520622928032/218919989280969*c_1100_0^4 + 224847289407577/437839978561938*c_1100_0^3 - 192984891626260/218919989280969*c_1100_0^2 - 209491983921799/437839978561938*c_1100_0 + 64171468577027/437839978561938, c_0011_0 - 1, c_0011_10 + 6248/10337*c_1100_0^7 + 5854/10337*c_1100_0^6 + 44764/10337*c_1100_0^5 + 6112/10337*c_1100_0^4 - 184908/10337*c_1100_0^3 - 1862/10337*c_1100_0^2 + 212682/10337*c_1100_0 + 114818/10337, c_0011_12 + c_1100_0, c_0101_0 + 2746/10337*c_1100_0^7 + 700/10337*c_1100_0^6 + 20415/10337*c_1100_0^5 - 12495/10337*c_1100_0^4 - 62830/10337*c_1100_0^3 + 21027/10337*c_1100_0^2 + 64071/10337*c_1100_0 + 26076/10337, c_0101_1 + 8847/10337*c_1100_0^7 + 1668/10337*c_1100_0^6 + 68434/10337*c_1100_0^5 - 46313/10337*c_1100_0^4 - 173047/10337*c_1100_0^3 + 54121/10337*c_1100_0^2 + 205184/10337*c_1100_0 + 83341/10337, c_0101_10 - 2746/10337*c_1100_0^7 - 700/10337*c_1100_0^6 - 20415/10337*c_1100_0^5 + 12495/10337*c_1100_0^4 + 62830/10337*c_1100_0^3 - 21027/10337*c_1100_0^2 - 64071/10337*c_1100_0 - 26076/10337, c_0101_11 - 1, c_0101_12 + 8994/10337*c_1100_0^7 + 6554/10337*c_1100_0^6 + 65179/10337*c_1100_0^5 - 6383/10337*c_1100_0^4 - 247738/10337*c_1100_0^3 + 19165/10337*c_1100_0^2 + 276753/10337*c_1100_0 + 140894/10337, c_0101_6 - 1, c_0101_7 - 3502/10337*c_1100_0^7 - 5154/10337*c_1100_0^6 - 24349/10337*c_1100_0^5 - 18607/10337*c_1100_0^4 + 122078/10337*c_1100_0^3 + 22889/10337*c_1100_0^2 - 148611/10337*c_1100_0 - 88742/10337, c_0101_8 + 3315/10337*c_1100_0^7 - 2046/10337*c_1100_0^6 + 27013/10337*c_1100_0^5 - 38939/10337*c_1100_0^4 - 36978/10337*c_1100_0^3 + 51746/10337*c_1100_0^2 + 37456/10337*c_1100_0 - 5216/10337, c_0110_4 - 12333/10337*c_1100_0^7 - 3829/10337*c_1100_0^6 - 94614/10337*c_1100_0^5 + 53359/10337*c_1100_0^4 + 257883/10337*c_1100_0^3 - 49171/10337*c_1100_0^2 - 309017/10337*c_1100_0 - 147184/10337, c_1100_0^8 + c_1100_0^7 + 8*c_1100_0^6 + c_1100_0^5 - 23*c_1100_0^4 - 11*c_1100_0^3 + 26*c_1100_0^2 + 29*c_1100_0 + 9 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_6, c_0101_7, c_0101_8, c_0110_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 35604490743868720767/780581624108830720*c_1100_0^8 - 36973281977610781613/780581624108830720*c_1100_0^7 + 13262820020260223873/48786351506801920*c_1100_0^6 + 94203010345972229815/156116324821766144*c_1100_0^5 - 88704019073515262951/780581624108830720*c_1100_0^4 - 1178346014200667058909/780581624108830720*c_1100_0^3 - 1090779037907680130311/390290812054415360*c_1100_0^2 - 82072295255828021967/70961965828075520*c_1100_0 - 1850604054699421904423/780581624108830720, c_0011_0 - 1, c_0011_10 + 739845/16323497*c_1100_0^8 + 985159/16323497*c_1100_0^7 - 3900122/16323497*c_1100_0^6 - 11060669/16323497*c_1100_0^5 - 4257723/16323497*c_1100_0^4 + 23398419/16323497*c_1100_0^3 + 65920164/16323497*c_1100_0^2 + 30669893/16323497*c_1100_0 + 28674839/16323497, c_0011_12 + c_1100_0, c_0101_0 - 122939/16323497*c_1100_0^8 - 161099/16323497*c_1100_0^7 + 815892/16323497*c_1100_0^6 + 1542220/16323497*c_1100_0^5 + 1034678/16323497*c_1100_0^4 - 2280587/16323497*c_1100_0^3 - 12720411/16323497*c_1100_0^2 - 15785848/16323497*c_1100_0 - 2440743/16323497, c_0101_1 - 590271/16323497*c_1100_0^8 - 814518/16323497*c_1100_0^7 + 3762816/16323497*c_1100_0^6 + 8883185/16323497*c_1100_0^5 - 1986506/16323497*c_1100_0^4 - 23002176/16323497*c_1100_0^3 - 36140955/16323497*c_1100_0^2 - 9844125/16323497*c_1100_0 - 17357468/16323497, c_0101_10 + 122939/16323497*c_1100_0^8 + 161099/16323497*c_1100_0^7 - 815892/16323497*c_1100_0^6 - 1542220/16323497*c_1100_0^5 - 1034678/16323497*c_1100_0^4 + 2280587/16323497*c_1100_0^3 + 12720411/16323497*c_1100_0^2 + 15785848/16323497*c_1100_0 + 2440743/16323497, c_0101_11 + 1, c_0101_12 + 862784/16323497*c_1100_0^8 + 1146258/16323497*c_1100_0^7 - 4716014/16323497*c_1100_0^6 - 12602889/16323497*c_1100_0^5 - 5292401/16323497*c_1100_0^4 + 25679006/16323497*c_1100_0^3 + 78640575/16323497*c_1100_0^2 + 46455741/16323497*c_1100_0 + 31115582/16323497, c_0101_6 - 1, c_0101_7 - 616906/16323497*c_1100_0^8 - 824060/16323497*c_1100_0^7 + 3084230/16323497*c_1100_0^6 + 9518449/16323497*c_1100_0^5 + 3223045/16323497*c_1100_0^4 - 21117832/16323497*c_1100_0^3 - 53199753/16323497*c_1100_0^2 - 14884045/16323497*c_1100_0 - 26234096/16323497, c_0101_8 - 592500/16323497*c_1100_0^8 - 478857/16323497*c_1100_0^7 + 3468238/16323497*c_1100_0^6 + 7803785/16323497*c_1100_0^5 - 1472089/16323497*c_1100_0^4 - 24534746/16323497*c_1100_0^3 - 38965258/16323497*c_1100_0^2 - 10305736/16323497*c_1100_0 - 21424472/16323497, c_0110_4 + 626202/16323497*c_1100_0^8 + 1071921/16323497*c_1100_0^7 - 4001407/16323497*c_1100_0^6 - 11366080/16323497*c_1100_0^5 + 724523/16323497*c_1100_0^4 + 26813677/16323497*c_1100_0^3 + 46274903/16323497*c_1100_0^2 + 21876865/16323497*c_1100_0 + 13536342/16323497, c_1100_0^9 + c_1100_0^8 - 6*c_1100_0^7 - 13*c_1100_0^6 + 3*c_1100_0^5 + 33*c_1100_0^4 + 60*c_1100_0^3 + 23*c_1100_0^2 + 51*c_1100_0 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB