Magma V2.19-8 Wed Aug 21 2013 01:14:02 on localhost [Seed = 1460750819] Type ? for help. Type -D to quit. Loading file "L9a21__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a21 geometric_solution 11.94287245 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 -1 1 0 -1 0 1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885021395740 0.608509377661 0 5 6 2 0132 0132 0132 3120 1 0 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 1 0 0 -1 -2 1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528072318357 0.738866364532 1 0 8 7 3120 0132 0132 0132 1 0 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 1 0 -1 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 0.748563475829 0.497527379277 9 4 10 0 0132 0321 0132 0132 1 0 1 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 1 -1 0 0 1 -1 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197892344357 1.362639925004 11 8 0 3 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533644877303 0.248911777331 12 1 12 8 0132 0132 3012 3120 1 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 -1 1 0 0 1 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668044589282 0.703881452153 10 11 12 1 1302 3120 3120 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813472173552 0.838397827400 9 8 2 12 2103 0213 0132 2103 1 0 0 1 0 0 0 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 0 1 -1 0 0 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506124509289 0.555079918404 5 4 7 2 3120 0132 0213 0132 1 0 1 1 0 0 0 0 -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 1 0 -2 1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701294410716 0.848011128886 3 11 7 10 0132 0213 2103 2310 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.105341324486 1.005530895833 9 6 11 3 3201 2031 2031 0132 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 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 0.528213758993 0.409604172487 4 6 9 10 0132 3120 0213 1302 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 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 0.289955315186 1.028469159770 5 5 6 7 0132 1230 3120 2103 0 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 -1 -1 2 0 0 0 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 0.548103652299 1.162204266760 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : 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_3']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_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' : 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_1100_8' : negation(d['c_0101_5']), 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_0011_6'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : 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'], 'c_1100_12' : d['c_0011_10'], '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_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), '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_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 55339829827027169/264901945*c_1001_2^9 + 7204837626281429/37843135*c_1001_2^8 - 281170193649007007/264901945*c_1001_2^7 + 855023645057248033/264901945*c_1001_2^6 + 123912393696714472/24081995*c_1001_2^5 - 72602029922971368/37843135*c_1001_2^4 + 219302157501457442/52980389*c_1001_2^3 + 4219299251746813827/264901945*c_1001_2^2 + 2946342008199160167/264901945*c_1001_2 + 624239237547362691/264901945, c_0011_0 - 1, c_0011_10 + 3812262/688057*c_1001_2^9 + 2123023/688057*c_1001_2^8 - 20028955/688057*c_1001_2^7 + 66043167/688057*c_1001_2^6 + 70003420/688057*c_1001_2^5 - 58240010/688057*c_1001_2^4 + 97533575/688057*c_1001_2^3 + 254851010/688057*c_1001_2^2 + 114913653/688057*c_1001_2 + 8248446/688057, c_0011_11 - 809854/688057*c_1001_2^9 - 401833/688057*c_1001_2^8 + 4270125/688057*c_1001_2^7 - 14333953/688057*c_1001_2^6 - 13902253/688057*c_1001_2^5 + 13225124/688057*c_1001_2^4 - 22751781/688057*c_1001_2^3 - 51729095/688057*c_1001_2^2 - 21098704/688057*c_1001_2 - 2179762/688057, c_0011_3 + 416608/688057*c_1001_2^9 + 552949/688057*c_1001_2^8 - 2134992/688057*c_1001_2^7 + 5458480/688057*c_1001_2^6 + 13912820/688057*c_1001_2^5 - 2679791/688057*c_1001_2^4 + 3302601/688057*c_1001_2^3 + 39313131/688057*c_1001_2^2 + 29332829/688057*c_1001_2 + 2991498/688057, c_0011_6 + 2559383/688057*c_1001_2^9 + 1356598/688057*c_1001_2^8 - 13485367/688057*c_1001_2^7 + 44735540/688057*c_1001_2^6 + 45760864/688057*c_1001_2^5 - 40446889/688057*c_1001_2^4 + 67619413/688057*c_1001_2^3 + 168236928/688057*c_1001_2^2 + 72708368/688057*c_1001_2 + 5225474/688057, c_0011_7 + 1130665/688057*c_1001_2^9 + 321542/688057*c_1001_2^8 - 5935141/688057*c_1001_2^7 + 21185897/688057*c_1001_2^6 + 14510192/688057*c_1001_2^5 - 19256313/688057*c_1001_2^4 + 34435577/688057*c_1001_2^3 + 64436268/688057*c_1001_2^2 + 19718344/688057*c_1001_2 + 592074/688057, c_0101_0 - 1, c_0101_1 + 2199074/688057*c_1001_2^9 + 1116306/688057*c_1001_2^8 - 11604353/688057*c_1001_2^7 + 38722592/688057*c_1001_2^6 + 38381274/688057*c_1001_2^5 - 35631196/688057*c_1001_2^4 + 59483650/688057*c_1001_2^3 + 142679526/688057*c_1001_2^2 + 58941702/688057*c_1001_2 + 4098069/688057, c_0101_10 + 10990417/688057*c_1001_2^9 + 4961294/688057*c_1001_2^8 - 57785325/688057*c_1001_2^7 + 196555163/688057*c_1001_2^6 + 178470411/688057*c_1001_2^5 - 177140074/688057*c_1001_2^4 + 305320116/688057*c_1001_2^3 + 691417472/688057*c_1001_2^2 + 275724625/688057*c_1001_2 + 19230045/688057, c_0101_12 + 1389220/688057*c_1001_2^9 + 714473/688057*c_1001_2^8 - 7334228/688057*c_1001_2^7 + 24388639/688057*c_1001_2^6 + 24479021/688057*c_1001_2^5 - 22406072/688057*c_1001_2^4 + 36731869/688057*c_1001_2^3 + 90950431/688057*c_1001_2^2 + 37842998/688057*c_1001_2 + 1918307/688057, c_0101_5 - 1067678/688057*c_1001_2^9 - 674747/688057*c_1001_2^8 + 5625009/688057*c_1001_2^7 - 18089840/688057*c_1001_2^6 - 21310487/688057*c_1001_2^5 + 16102701/688057*c_1001_2^4 - 26051894/688057*c_1001_2^3 - 74635719/688057*c_1001_2^2 - 34935163/688057*c_1001_2 - 2456898/688057, c_1001_0 + 408021/688057*c_1001_2^9 + 220855/688057*c_1001_2^8 - 2186143/688057*c_1001_2^7 + 7153951/688057*c_1001_2^6 + 7556146/688057*c_1001_2^5 - 7364555/688057*c_1001_2^4 + 11439517/688057*c_1001_2^3 + 27492536/688057*c_1001_2^2 + 10089845/688057*c_1001_2 + 809854/688057, c_1001_2^10 + c_1001_2^9 - 5*c_1001_2^8 + 15*c_1001_2^7 + 26*c_1001_2^6 - 7*c_1001_2^5 + 19*c_1001_2^4 + 78*c_1001_2^3 + 60*c_1001_2^2 + 16*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB